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Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q
Transactions of the London Mathematical Society
◽
10.1112/tlm3.12018
◽
2019
◽
Vol 6
(1)
◽
pp. 22-52
Author(s):
Harris B. Daniels
◽
Maarten Derickx
◽
Jeffrey Hatley
Keyword(s):
Elliptic Curves
◽
Torsion Subgroups
Download Full-text
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References
On the minimal degree of definition of $p$-primary torsion subgroups of elliptic curves
Mathematical Research Letters
◽
10.4310/mrl.2017.v24.n4.a7
◽
2017
◽
Vol 24
(4)
◽
pp. 1067-1096
◽
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Author(s):
Enrique González-Jiménez
◽
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Minimal Degree
◽
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◽
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Primary Torsion
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On the Torsion Subgroups of Certain Elliptic Curves over Q
Advances in Pure Mathematics
◽
10.4236/apm.2013.32043
◽
2013
◽
Vol 03
(02)
◽
pp. 304-308
Author(s):
Yoon Kyung Park
Keyword(s):
Elliptic Curves
◽
Torsion Subgroups
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On class numbers, torsion subgroups, and quadratic twists of elliptic curves
Transactions of the American Mathematical Society
◽
10.1090/tran/8457
◽
2021
◽
pp. 1
Author(s):
Talia Blum
◽
Caroline Choi
◽
Alexandra Hoey
◽
Jonas Iskander
◽
Kaya Lakein
◽
...
Keyword(s):
Elliptic Curves
◽
Class Numbers
◽
Quadratic Twists
◽
Torsion Subgroups
Download Full-text
Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields
Journal of Number Theory
◽
10.1016/j.jnt.2014.07.014
◽
2015
◽
Vol 147
◽
pp. 342-363
◽
Cited By ~ 2
Author(s):
Daeyeol Jeon
◽
Chang Heon Kim
◽
Yoonjin Lee
Keyword(s):
Elliptic Curves
◽
Torsion Subgroups
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Torsion subgroups of elliptic curves over function fields of genus 0
Journal of Number Theory
◽
10.1016/j.jnt.2018.05.017
◽
2018
◽
Vol 193
◽
pp. 395-423
Author(s):
Robert J.S. McDonald
Keyword(s):
Elliptic Curves
◽
Function Fields
◽
Torsion Subgroups
Download Full-text
A Generalization of a Result of Hurwitz and Mordell on the Torsion Subgroups of Certain Elliptic Curves
Rocky Mountain Journal of Mathematics
◽
10.1216/rmjm/1181072796
◽
1992
◽
Vol 22
(1)
◽
pp. 93-108
Author(s):
Chris Caldwell
Keyword(s):
Elliptic Curves
◽
Torsion Subgroups
Download Full-text
Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q
Acta Arithmetica
◽
10.4064/aa115-1-3
◽
2004
◽
Vol 115
(1)
◽
pp. 29-45
◽
Cited By ~ 10
Author(s):
Yasutsugu Fujita
Keyword(s):
Elliptic Curves
◽
Cyclic Torsion
◽
Torsion Subgroups
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Torsion subgroups of rational elliptic curves over the compositum of all cubic fields
Mathematics of Computation
◽
10.1090/mcom/3213
◽
2017
◽
Vol 87
(309)
◽
pp. 425-458
◽
Cited By ~ 5
Author(s):
Harris B. Daniels
◽
Álvaro Lozano-Robledo
◽
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◽
Andrew V. Sutherland
Keyword(s):
Elliptic Curves
◽
Cubic Fields
◽
Torsion Subgroups
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Numbers Divisible by a Large Shifted Prime and Large Torsion Subgroups of CM Elliptic Curves
International Mathematics Research Notices
◽
10.1093/imrn/rnw173
◽
2016
◽
pp. rnw173
◽
Cited By ~ 2
Author(s):
Nathan McNew
◽
Paul Pollack
◽
Carl Pomerance
Keyword(s):
Elliptic Curves
◽
Shifted Prime
◽
Torsion Subgroups
Download Full-text
Torsion subgroups of rational elliptic curves over the compositum of all D 4 extensions of the rational numbers
Journal of Algebra
◽
10.1016/j.jalgebra.2018.02.038
◽
2018
◽
Vol 509
◽
pp. 535-565
◽
Cited By ~ 1
Author(s):
Harris B. Daniels
Keyword(s):
Elliptic Curves
◽
Rational Numbers
◽
Torsion Subgroups
Download Full-text
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