Growth of torsion groups of elliptic curves upon base change

Enrique González–Jiménez; Filip Najman

doi:10.1090/mcom/3478

Growth of torsion groups of elliptic curves upon base change

Mathematics of Computation ◽

10.1090/mcom/3478 ◽

2019 ◽

Vol 89 (323) ◽

pp. 1457-1485 ◽

Cited By ~ 3

Author(s):

Enrique González–Jiménez ◽

Filip Najman

Keyword(s):

Elliptic Curves ◽

Base Change ◽

Torsion Groups

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Equivariant Birch–Swinnerton–Dyer Conjecture for the Base Change of Elliptic Curves: An Example

International Mathematics Research Notices ◽

10.1093/imrn/rnm164 ◽

2008 ◽

Vol 2008 ◽

Cited By ~ 1

Author(s):

Tejaswi Navilarekallu

Keyword(s):

Elliptic Curves ◽

Base Change

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Torsion groups of elliptic curves over cubic and certain biquadratic number fields

Contemporary Mathematics - Arithmetic Geometry ◽

10.1090/conm/174/01861 ◽

1994 ◽

pp. 203-220 ◽

Cited By ~ 2

Author(s):

Horst G. Zimmer

Keyword(s):

Elliptic Curves ◽

Number Fields ◽

Torsion Groups

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Elliptic curves with torsion groups $${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$ and $${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-021-01112-5 ◽

2021 ◽

Vol 115 (4) ◽

Author(s):

Andrej Dujella ◽

Matija Kazalicki ◽

Juan Carlos Peral

Keyword(s):

Elliptic Curves ◽

Torsion Groups

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On the rank of elliptic curves over $\mathbf{Q}(\sqrt{-3})$ with torsion groups $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/3\mathbf{Z}$ and $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/6\mathbf{Z}$

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.87.61 ◽

2011 ◽

Vol 87 (5) ◽

pp. 61-64 ◽

Cited By ~ 2

Author(s):

Mirela Jukić Bokun

Keyword(s):

Elliptic Curves ◽

Torsion Groups

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Torsion groups of elliptic curves with everywhere good reduction over quadratic fields

International Journal of Algebra ◽

10.12988/ija.2016.6861 ◽

2016 ◽

Vol 10 ◽

pp. 461-467

Author(s):

Takaaki Kagawa

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction ◽

Torsion Groups

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Base change for elliptic curves over real quadratic fields

Comptes Rendus Mathematique ◽

10.1016/j.crma.2014.10.006 ◽

2015 ◽

Vol 353 (1) ◽

pp. 1-4

Author(s):

Luis Dieulefait ◽

Nuno Freitas

Keyword(s):

Elliptic Curves ◽

Base Change ◽

Quadratic Fields ◽

Real Quadratic Fields ◽

Real Quadratic

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Variation of the reduction type of elliptic curves under small base change with wild ramification

Central European Journal of Mathematics ◽

10.2478/bf02475181 ◽

2003 ◽

Vol 1 (4) ◽

pp. 510-560 ◽

Cited By ~ 1

Author(s):

Masanari Kida

Keyword(s):

Elliptic Curves ◽

Base Change ◽

Wild Ramification ◽

Small Base

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Construction of elliptic curves with noninteger torsion points and noncyclic torsion groups

Pacific Journal of Mathematics ◽

10.2140/pjm.2010.244.297 ◽

2009 ◽

Vol 244 (2) ◽

pp. 297-308

Author(s):

Sumi Jeong ◽

Hwasin Park

Keyword(s):

Elliptic Curves ◽

Torsion Points ◽

Torsion Groups

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Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields

Théorie des nombres / Number Theory ◽

10.1515/9783110852790.671 ◽

1989 ◽

pp. 671-698

Keyword(s):

Elliptic Curves ◽

Complete Determination ◽

Cubic Fields ◽

Torsion Groups

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Torsion groups of elliptic curves with integral j-invariant over quadratic fields.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1989.397.100 ◽

1989 ◽

Vol 1989 (397) ◽

pp. 100-161

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Torsion Groups

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