Cyclicity and exponent of elliptic curves modulo $p$ in arithmetic progressions
Fuente:
arXiv
Saved in:
| Main Author: | Wong, Peng-Jie |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Square-free orders for CM elliptic curves modulo $p$ in short intervals
by: Wong, Peng-Jie
Published: (2024)
by: Wong, Peng-Jie
Published: (2024)
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)
2-Selmer Groups over Multiquadratic Extensions
by: Paterson, Ross
Published: (2024)
by: Paterson, Ross
Published: (2024)
The average number of integral points on the congruent number curves
by: Chan, Stephanie
Published: (2021)
by: Chan, Stephanie
Published: (2021)
Selmer groups of families of elliptic curves with an $\ell$-isogeny
by: Chan, Stephanie, et al.
Published: (2025)
by: Chan, Stephanie, et al.
Published: (2025)
Almost all elliptic curves with prescribed torsion have Szpiro ratio close to the expected value
by: Chan, Stephanie
Published: (2024)
by: Chan, Stephanie
Published: (2024)
Solubility of a resultant equation and applications
by: Browning, Tim, et al.
Published: (2024)
by: Browning, Tim, et al.
Published: (2024)
Diophantine stability for elliptic curves on average
by: Ray, Anwesh, et al.
Published: (2023)
by: Ray, Anwesh, et al.
Published: (2023)
Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
by: Ray, Anwesh
Published: (2024)
by: Ray, Anwesh
Published: (2024)
Selmer stability for elliptic curves in Galois $\ell$-extensions
by: Pathak, Siddhi, et al.
Published: (2025)
by: Pathak, Siddhi, et al.
Published: (2025)
Statistics for 3-isogeny induced Selmer groups of elliptic curves
by: Shingavekar, Pratiksha
Published: (2024)
by: Shingavekar, Pratiksha
Published: (2024)
Iwasawa theory and ranks of elliptic curves in quadratic twist families
by: Hatley, Jeffrey, et al.
Published: (2024)
by: Hatley, Jeffrey, et al.
Published: (2024)
Rank stability of elliptic curves in certain non-abelian extensions
by: Pathak, Siddhi, et al.
Published: (2024)
by: Pathak, Siddhi, et al.
Published: (2024)
The density and distribution of CM elliptic curves over $\mathbb{Q}$
by: Barquero-Sanchez, Adrian, et al.
Published: (2024)
by: Barquero-Sanchez, Adrian, et al.
Published: (2024)
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
by: Barquero-Sanchez, Adrian, et al.
Published: (2025)
by: Barquero-Sanchez, Adrian, et al.
Published: (2025)
A positive density of elliptic curves are diophantine stable in certain Galois extensions
by: Ray, Anwesh, et al.
Published: (2024)
by: Ray, Anwesh, et al.
Published: (2024)
Counting elliptic curves with prescribed entanglements
by: Couvillon, Zachary, et al.
Published: (2025)
by: Couvillon, Zachary, et al.
Published: (2025)
A Heuristic approach to the Iwasawa theory of elliptic curves
by: Müller, Katharina, et al.
Published: (2024)
by: Müller, Katharina, et al.
Published: (2024)
On the unramified Iwasawa module of a $\mathbb{Z}_p$-extension generated by division points of a CM elliptic curve
by: Itoh, Tsuyoshi
Published: (2020)
by: Itoh, Tsuyoshi
Published: (2020)
Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)
by: Ray, Anwesh, et al.
Published: (2022)
Counting 5-isogenies of elliptic curves over $\mathbb{Q}$
by: Arango-Piñeros, Santiago, et al.
Published: (2025)
by: Arango-Piñeros, Santiago, et al.
Published: (2025)
Counting two-step nilpotent wildly ramified extensions of function fields
by: Gundlach, Fabian, et al.
Published: (2025)
by: Gundlach, Fabian, et al.
Published: (2025)
Rank distribution in cubic twist families of elliptic curves
by: Ray, Anwesh, et al.
Published: (2024)
by: Ray, Anwesh, et al.
Published: (2024)
Distribution of supersingular primes for abelian surfaces
by: Wang, Tian
Published: (2024)
by: Wang, Tian
Published: (2024)
On the kernels of the pro-$p$ outer Galois representations associated to once-punctured CM elliptic curves
by: Ishii, Shun
Published: (2023)
by: Ishii, Shun
Published: (2023)
Relative $p$-class groups and $p$-Selmer groups
by: De, Debajyoti, et al.
Published: (2024)
by: De, Debajyoti, et al.
Published: (2024)
Artin's Conjecture for Abelian Varieties with Frobenius Condition
by: Hess, Florian, et al.
Published: (2022)
by: Hess, Florian, et al.
Published: (2022)
Perfect powers in the product of denominators of elliptic curves
by: Bhakta, Subham
Published: (2026)
by: Bhakta, Subham
Published: (2026)
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)
Heavenly elliptic curves over quadratic fields
by: McLeman, Cam, et al.
Published: (2024)
by: McLeman, Cam, et al.
Published: (2024)
Counting elliptic curves with a cyclic $m$-isogeny over $\mathbb{Q}$
by: Molnar, Grant
Published: (2024)
by: Molnar, Grant
Published: (2024)
On a conjecture of Wooley and lower bounds for cubic hypersurfaces
by: Kumaraswamy, V. Vinay, et al.
Published: (2024)
by: Kumaraswamy, V. Vinay, et al.
Published: (2024)
Counting torsors for wild abelian groups
by: Darda, Ratko, et al.
Published: (2025)
by: Darda, Ratko, et al.
Published: (2025)
Bounds for the distribution of the Frobenius traces associated to a generic abelian variety
by: Cojocaru, Alina Carmen, et al.
Published: (2022)
by: Cojocaru, Alina Carmen, et al.
Published: (2022)
Cyclic isogenies of elliptic curves over fixed quadratic fields
by: Banwait, Barinder S., et al.
Published: (2022)
by: Banwait, Barinder S., et al.
Published: (2022)
Non-vanishing of central $L$-values of the Gross family of elliptic curve
by: Kezuka, Yukako, et al.
Published: (2023)
by: Kezuka, Yukako, et al.
Published: (2023)
Main conjectures for non-CM elliptic curves at good ordinary primes
by: Yan, Xiaojun, et al.
Published: (2024)
by: Yan, Xiaojun, et al.
Published: (2024)
On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields
by: Dainobu, Naoto
Published: (2024)
by: Dainobu, Naoto
Published: (2024)
Primes in simultaneous arithmetic progressions
by: Zheng, Zongkun
Published: (2025)
by: Zheng, Zongkun
Published: (2025)
Growth of torsion groups of elliptic curves upon base change from number fields
by: Genao, Tyler
Published: (2022)
by: Genao, Tyler
Published: (2022)
Similar Items
-
Square-free orders for CM elliptic curves modulo $p$ in short intervals
by: Wong, Peng-Jie
Published: (2024) -
The $3$-isogeny Selmer groups of the elliptic curves $y^2=x^3+n^2$
by: Chan, Stephanie
Published: (2022) -
2-Selmer Groups over Multiquadratic Extensions
by: Paterson, Ross
Published: (2024) -
The average number of integral points on the congruent number curves
by: Chan, Stephanie
Published: (2021) -
Selmer groups of families of elliptic curves with an $\ell$-isogeny
by: Chan, Stephanie, et al.
Published: (2025)