On the family of elliptic curves $y^2=x^3-m^2x + (pqr)^2$
Fuente:
arXiv
Saved in:
| Main Author: | Ghosh, Arkabrata |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Rank of the family of elliptic curves $y^2 = x^3- 5px$
by: Ghosh, Arkabrata
Published: (2025)
by: Ghosh, Arkabrata
Published: (2025)
On the Family of Elliptic Curves $y^2=x^3-5pqx$
by: Ghosh, Arkabrata
Published: (2025)
by: Ghosh, Arkabrata
Published: (2025)
Visible 2-torsion in the Tate-Shafarevich group of an elliptic curve
by: Fisher, Tom
Published: (2026)
by: Fisher, Tom
Published: (2026)
Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
by: Savoie, Ben
Published: (2025)
by: Savoie, Ben
Published: (2025)
Ranks of elliptic curves in cyclic sextic extensions of $\mathbb{Q}$
by: Kisilevsky, Hershy, et al.
Published: (2023)
by: Kisilevsky, Hershy, et al.
Published: (2023)
Isogeny relations in products of families of elliptic curves
by: Ferrigno, Luca
Published: (2024)
by: Ferrigno, Luca
Published: (2024)
A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$
by: Ghosh, Arkabrata
Published: (2024)
by: Ghosh, Arkabrata
Published: (2024)
Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
by: Gajović, Stevan, et al.
Published: (2025)
by: Gajović, Stevan, et al.
Published: (2025)
The splitting fields and Generators of Shioda's elliptic surfaces $y^2=x^3 +t^{m} +1$ (I)
by: Salami, Sajad, et al.
Published: (2025)
by: Salami, Sajad, et al.
Published: (2025)
Prime order torsion on elliptic curves over number fields. Part I: Asymptotics
by: Derickx, Maarten, et al.
Published: (2025)
by: Derickx, Maarten, et al.
Published: (2025)
Patterns on elliptic curves beyond Bremner's conjecture
by: Garcia-Fritz, Natalia, et al.
Published: (2026)
by: Garcia-Fritz, Natalia, et al.
Published: (2026)
Rational points on modular curves via maps to elliptic curves with rank zero
by: Mayle, Jacob, et al.
Published: (2026)
by: Mayle, Jacob, et al.
Published: (2026)
Non-simple abelian varieties in a family: arithmetic approaches
by: Fu, Yu
Published: (2024)
by: Fu, Yu
Published: (2024)
Existence and non-existence of rational elliptic curves with prescribed torsion subgroups over quadratic fields
by: Avci, Omer
Published: (2026)
by: Avci, Omer
Published: (2026)
On the Hasse principle for divisibility in elliptic curves
by: Alessandrì, Jessica, et al.
Published: (2025)
by: Alessandrì, Jessica, et al.
Published: (2025)
Counting rational points on elliptic and hyperelliptic curves over function fields
by: Gillibert, Jean, et al.
Published: (2025)
by: Gillibert, Jean, et al.
Published: (2025)
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two
by: Gajović, Stevan, et al.
Published: (2025)
by: Gajović, Stevan, et al.
Published: (2025)
Completing the classification of torsion subgroups for rational elliptic curves over sextic fields
by: Adžaga, Nikola, et al.
Published: (2026)
by: Adžaga, Nikola, et al.
Published: (2026)
A graph-theoretic approach to computing Selmer groups of elliptic curves $y^2 = x^3 + bx$ over $\mathbb{Q}(i)$
by: Kling, Anthony, et al.
Published: (2024)
by: Kling, Anthony, et al.
Published: (2024)
Solution of certain Diophantine equations in Gaussian integers
by: Ghosh, Arkabarata
Published: (2024)
by: Ghosh, Arkabarata
Published: (2024)
The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem
by: Yamazaki, Takao, et al.
Published: (2025)
by: Yamazaki, Takao, et al.
Published: (2025)
100% of elliptic curves with a marked point have positive rank
by: Park, Jun-Yong, et al.
Published: (2025)
by: Park, Jun-Yong, et al.
Published: (2025)
On the Birch and Swinnerton-Dyer formula modulo squares for certain quadratic twists of elliptic curves
by: Barrios, Alexander J., et al.
Published: (2025)
by: Barrios, Alexander J., et al.
Published: (2025)
Rank of Jacobian Varieties of Curves $y^s=x(ax^r+b)$
by: Salami, Sajad
Published: (2025)
by: Salami, Sajad
Published: (2025)
The $3$-isogeny Selmer groups of the elliptic curves $y^2=x^3+n^2$
by: Chan, Stephanie
Published: (2022)
by: Chan, Stephanie
Published: (2022)
A note on rank zero quadratic twists of a Mordell curve
by: Chutia, Ankurjyoti, et al.
Published: (2019)
by: Chutia, Ankurjyoti, et al.
Published: (2019)
Elliptic curves with a point of order 13 defined over cyclic cubic fields
by: Bruin, Peter, et al.
Published: (2021)
by: Bruin, Peter, et al.
Published: (2021)
Intersecting the torsion of elliptic curves
by: Garcia-Fritz, Natalia, et al.
Published: (2023)
by: Garcia-Fritz, Natalia, et al.
Published: (2023)
Capitulation discriminants of genus one curves
by: Radicevic, Lazar
Published: (2022)
by: Radicevic, Lazar
Published: (2022)
Local data of elliptic curves under quadratic twist
by: Barrios, Alexander J., et al.
Published: (2025)
by: Barrios, Alexander J., et al.
Published: (2025)
Minimal torsion curves in geometric isogeny classes
by: Bourdon, Abbey, et al.
Published: (2024)
by: Bourdon, Abbey, et al.
Published: (2024)
Unbounded average Selmer ranks of elliptic curves in torsion families
by: Phillips, Tristan
Published: (2025)
by: Phillips, Tristan
Published: (2025)
Average analytic ranks of elliptic curves over number fields
by: Phillips, Tristan
Published: (2022)
by: Phillips, Tristan
Published: (2022)
Sporadic points on $X_0(N)$
by: Derickx, Maarten, et al.
Published: (2025)
by: Derickx, Maarten, et al.
Published: (2025)
On the torsion growth in quadratic number fields for elliptic curves defined over the rationals
by: Arias-de-Reyna, Sara, et al.
Published: (2025)
by: Arias-de-Reyna, Sara, et al.
Published: (2025)
Galois module structures and the Hasse principle in twist families via the distribution of Selmer groups
by: Bartel, Alex, et al.
Published: (2025)
by: Bartel, Alex, et al.
Published: (2025)
Hasse principle for Kummer varieties in the case of generic 2-torsion
by: Morgan, Adam
Published: (2023)
by: Morgan, Adam
Published: (2023)
Quantitative upper bounds related to an isogeny criterion for elliptic curves
by: Cojocaru, Alina Carmen, et al.
Published: (2024)
by: Cojocaru, Alina Carmen, et al.
Published: (2024)
$p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
by: Keller, Timo, et al.
Published: (2024)
by: Keller, Timo, et al.
Published: (2024)
Sesquilinear pairings on elliptic curves
by: Stange, Katherine E.
Published: (2024)
by: Stange, Katherine E.
Published: (2024)
Similar Items
-
Rank of the family of elliptic curves $y^2 = x^3- 5px$
by: Ghosh, Arkabrata
Published: (2025) -
On the Family of Elliptic Curves $y^2=x^3-5pqx$
by: Ghosh, Arkabrata
Published: (2025) -
Visible 2-torsion in the Tate-Shafarevich group of an elliptic curve
by: Fisher, Tom
Published: (2026) -
Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
by: Savoie, Ben
Published: (2025) -
Ranks of elliptic curves in cyclic sextic extensions of $\mathbb{Q}$
by: Kisilevsky, Hershy, et al.
Published: (2023)