Cover Image

Tamagawa numbers and positive rank of elliptic curves

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Aylward, Edwina
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Small Tamagawa numbers of elliptic curves with isogenies or torsion
by: Melistas, Mentzelos
Published: (2025)

On Tamagawa numbers of CM tori
by: Liang, Pei-Xin, et al.
Published: (2021)

On the ranks of elliptic curves with isogenies
by: Daniels, Harris B., et al.
Published: (2016)

The refined Tamagawa number conjectures for $\mathrm{GL}_2$
by: Kim, Chan-Ho, et al.
Published: (2025)

On the local equivariant Tamagawa number conjecture for Tate motives
by: Atsuta, Mahiro, et al.
Published: (2025)

Tamagawa numbers of quasi-split groups over function fields
by: Köhl, Ralf, et al.
Published: (2023)

On the Tamagawa number conjecture for modular forms twisted by anticyclotomic Hecke characters
by: Sano, Takamichi
Published: (2025)

Tamagawa number conjecture for CM modular forms and Rankin--Selberg convolutions
by: Castella, Francesc
Published: (2024)

On the Tamagawa number conjecture for newforms at Eisenstein primes
by: Yin, Mulun
Published: (2024)

Average rank of elliptic curves over function fields
by: Balçık, Irmak
Published: (2025)

Boundedness of average rank of elliptic curves ordered by the coefficients
by: Janbazi, Fatemehzahra
Published: (2025)

On the cyclotomic Iwasawa invariants of elliptic curves of rank one
by: Chnaras, Foivos
Published: (2025)

Generalised Kato classes on CM elliptic curves of rank 2
by: Castella, Francesc
Published: (2022)

Central $L$ values of congruent number elliptic curves
by: Guo, Xuejun, et al.
Published: (2025)

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

The Iwasawa $μ$-invariant of certain elliptic curves of analytic rank zero
by: Chakravarthy, Adithya
Published: (2024)

Elliptic curves of rank one over number fields
by: Koymans, Peter, et al.
Published: (2025)

Tamagawa Numbers of Elliptic Curves with an $\ell$-isogeny
by: Barrios, Alexander, et al.
Published: (2024)

On the Mordell-Weil rank and $2$-Selmer group of a family of elliptic curves
by: Patel, Pankaj, et al.
Published: (2025)

Two infinite families of elliptic curves with Mordell-Weil rank at least $3$
by: Patel, Pankaj, et al.
Published: (2026)

Weil-étale cohomology and the equivariant Tamagawa number conjecture for constructible sheaves in characteristic $p$
by: Morin, Adrien
Published: (2024)

Determining monogenity of pure cubic number fields using elliptic curves
by: Guàrdia, Jordi, et al.
Published: (2025)

$L$-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields
by: Hua, Shenghao
Published: (2025)

100% of elliptic curves with a marked point have positive rank
by: Park, Jun-Yong, et al.
Published: (2025)

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums
by: Bujanović, Zvonimir, et al.
Published: (2025)

On the infinitude of elliptic curves over a number field with prescribed small rank
by: Zywina, David
Published: (2026)

On the Rasmussen-Tamagawa conjecture for abelian fivefolds
by: Ishii, Shun
Published: (2025)

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra
by: Fouquet, Olivier
Published: (2025)

The average Mordell-Weil rank of elliptic surfaces over number fields
by: Kloosterman, Remke
Published: (2022)

New isogenies of elliptic curves over number fields
by: Genao, Tyler
Published: (2024)

An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields
by: Melistas, Mentzelos
Published: (2023)

Low rank specializations of elliptic surfaces
by: Melistas, Mentzelos
Published: (2024)

Torsion primes for elliptic curves over degree 8 number fields
by: Khawaja, Maleeha
Published: (2023)

Conductor distributions of elliptic curves
by: Cowan, Alex
Published: (2024)

Reduction and isogenies of elliptic curves
by: Melistas, Mentzelos
Published: (2023)

On the prime Selmer ranks of cyclic prime twist families of elliptic curves over global function fields
by: Park, Sun Woo
Published: (2022)

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

Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields
by: Choi, Seokhyun, et al.
Published: (2026)

Rank one elliptic curves and rank stability
by: Zywina, David
Published: (2025)

Divisibility of orders of reductions of elliptic curves
by: Pajaziti, Antigona, et al.
Published: (2023)