Copertina

The maximal abelian extension contained in a division field of an elliptic curve over $\mathbb{Q}$ with complex multiplication

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Hamakiotes, Asimina S.
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Number Theory
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Genus formulas for families of modular curves
di: Hamakiotes, Asimina S., et al.
Pubblicazione: (2025)

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II
di: Cullinan, John, et al.
Pubblicazione: (2024)

Polarized products of elliptic curves with complex multiplication and field of moduli $\mathbb{Q}$
di: Narbonne, Fabien
Pubblicazione: (2022)

Torsion of elliptic curves with rational $j$-invariant over the maximal elementary abelian 2-extension of $\mathbb{Q}$
di: Hamada, Lucas
Pubblicazione: (2024)

Sums of Powers by L'Hopital's Rule
di: Dueñez, Eduardo, et al.
Pubblicazione: (2023)

Bounds for the relative class number problem for function fields
di: Arango-Piñeros, Santiago, et al.
Pubblicazione: (2024)

On Galois inertial types of elliptic curves over $\mathbb{Q}_\ell$
di: Dembélé, Lassina, et al.
Pubblicazione: (2022)

Torsion of elliptic curves over $\mathbb{Q}_p$ with good reduction in cyclotomic extensions
di: Ozeki, Yoshiyasu, et al.
Pubblicazione: (2025)

On $r$-isogenies over $\mathbb{Q}(ζ_r)$ of elliptic curves with rational $j$-invariants
di: Najman, Filip
Pubblicazione: (2023)

Matrices over maximal orders in cyclic division algebras over Q as sums of squares and cubes
di: Katre, S. A, et al.
Pubblicazione: (2025)

On the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$
di: Tsuruta, Yuto
Pubblicazione: (2026)

Larsen's conjecture for elliptic curves over $\mathbb{Q}$ with analytic rank at most $1$
di: Choi, Seokhyun, et al.
Pubblicazione: (2025)

Faltings elliptic curves in twisted $\mathbb Q$-isogeny classes
di: González-Jiménez, Enrique, et al.
Pubblicazione: (2025)

On the average congruence class bias for cyclicity and divisibility of the groups of $\mathbb{F}_p$-points of elliptic curves
di: Lee, Sung Min
Pubblicazione: (2023)

Explicit open images for elliptic curves over $\mathbb{Q}$
di: Zywina, David
Pubblicazione: (2022)

Towards a classification of $p^2$-discriminant ideal twins over number fields
di: Deines, Alyson, et al.
Pubblicazione: (2024)

Uniform bounds on the level of cyclotomic division fields of elliptic curves
di: Allen, Sam, et al.
Pubblicazione: (2025)

Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three
di: Onuki, Hiroshi
Pubblicazione: (2022)

Counting 5-isogenies of elliptic curves over $\mathbb{Q}$
di: Arango-Piñeros, Santiago, et al.
Pubblicazione: (2025)

Rank stability of elliptic curves in certain non-abelian extensions
di: Pathak, Siddhi, et al.
Pubblicazione: (2024)

Average rank of elliptic curves over function fields
di: Balçık, Irmak
Pubblicazione: (2025)

On the maximal unramified pro-2-extension of $\mathbb{Z}_2$-extension of certain real biquadratic fields
di: Chems-Eddin, Mohamed Mahmoud
Pubblicazione: (2024)

Powers of abelian varieties over $\overline{\mathbb Q(t)}$ not isogenous to a Jacobian
di: Fortman, Olivier de Gaay, et al.
Pubblicazione: (2025)

On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication
di: Ishii, Shun
Pubblicazione: (2026)

Behaviors of the Tate--Shafarevich group of elliptic curves under quadratic field extensions
di: Shiga, Asuka
Pubblicazione: (2024)

Ranks of elliptic curves in cyclic sextic extensions of $\mathbb{Q}$
di: Kisilevsky, Hershy, et al.
Pubblicazione: (2023)

On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
di: Lim, Meng Fai
Pubblicazione: (2026)

Intermediate modular curves with infinitely many cubic points over $\mathbb{Q}$
di: Dalal, Tarun
Pubblicazione: (2023)

Torsion of $\mathbb Q$-curves over number fields of small odd prime degree
di: Novak, Ivan
Pubblicazione: (2025)

Malle's Conjecture for Galois octic fields over $\mathbb Q$
di: Shankar, Arul, et al.
Pubblicazione: (2025)

Hirzebruch-Zagier classes and rational elliptic curves over quintic fields
di: Fornea, Michele, et al.
Pubblicazione: (2020)

Upper bounds for analytic ranks of elliptic curves over cyclotomic fields
di: Dasgupta, Agniva, et al.
Pubblicazione: (2025)

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny
di: Gajović, Stevan, et al.
Pubblicazione: (2025)

Counting isomorphism classes of elliptic curves over $\mathbb{F}_q(t)$
di: Park, Jun-Yong
Pubblicazione: (2025)

The density and distribution of CM elliptic curves over $\mathbb{Q}$
di: Barquero-Sanchez, Adrian, et al.
Pubblicazione: (2024)

Classification of torsion of elliptic curves over quartic fields
di: Derickx, Maarten, et al.
Pubblicazione: (2024)

Torsion groups of elliptic curves over quadratic fields
di: Kamienny, Sheldon, et al.
Pubblicazione: (2011)

Torsion of elliptic curves over cyclic cubic fields
di: Derickx, Maarten, et al.
Pubblicazione: (2018)

On the unramified Iwasawa module of a $\mathbb{Z}_p$-extension generated by division points of a CM elliptic curve
di: Itoh, Tsuyoshi
Pubblicazione: (2020)

Computing base extensions of ordinary abelian varieties over finite fields
di: Marseglia, Stefano
Pubblicazione: (2020)