Good reduction of elliptic curves over imaginary quadratic fields

Masanari Kida

doi:10.5802/jtnb.315

Good reduction of elliptic curves over imaginary quadratic fields

Journal de Théorie des Nombres de Bordeaux ◽

10.5802/jtnb.315 ◽

2001 ◽

Vol 13 (1) ◽

pp. 201-209 ◽

Cited By ~ 4

Author(s):

Masanari Kida

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction ◽

Imaginary Quadratic Fields

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The non-existence of elliptic curves with everywhere good reduction over certain imaginary quadratic fields

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03120273 ◽

1979 ◽

Vol 31 (2) ◽

pp. 273-279 ◽

Cited By ~ 3

Author(s):

Hidenori ISHII

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction ◽

Imaginary Quadratic Fields

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CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS USING y-COORDINATES OF ELLIPTIC CURVES

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2013.50.4.847 ◽

2013 ◽

Vol 50 (4) ◽

pp. 847-864

Author(s):

Ja Kyung Koo ◽

Dong Hwa Shin

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Class Fields

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The non-existence of elliptic curves with everywhere good reduction over certain quadratic fields

Japanese journal of mathematics ◽

10.4099/math1924.12.45 ◽

1986 ◽

Vol 12 (1) ◽

pp. 45-52 ◽

Cited By ~ 5

Author(s):

Hidenori ISHII

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction

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On elliptic curves of prime power conductor over imaginary quadratic fields with class number 1

Proceedings of the London Mathematical Society ◽

10.1112/plms.12214 ◽

2018 ◽

Vol 118 (5) ◽

pp. 1245-1276

Author(s):

John Cremona ◽

Ariel Pacetti

Keyword(s):

Elliptic Curves ◽

Class Number ◽

Prime Power ◽

Quadratic Fields ◽

Imaginary Quadratic Fields

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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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Abelian Varieties with Extra Twist, Cusp Forms, and Elliptic Curves Over Imaginary Quadratic Fields

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-45.3.404 ◽

1992 ◽

Vol s2-45 (3) ◽

pp. 404-416 ◽

Cited By ~ 12

Author(s):

J. E. Cremona

Keyword(s):

Elliptic Curves ◽

Abelian Varieties ◽

Quadratic Fields ◽

Cusp Forms ◽

Imaginary Quadratic Fields

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THE ZETA-FUNCTION OF ELLIPTIC CURVES OVER CERTAIN ABELIAN EXTENSIONS OF IMAGINARY QUADRATIC FIELDS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1977v031n01abeh002290 ◽

1977 ◽

Vol 31 (1) ◽

pp. 49-62 ◽

Cited By ~ 1

Author(s):

P F Kurčanov

Keyword(s):

Zeta Function ◽

Elliptic Curves ◽

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Abelian Extensions

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Elliptic curves over real quadratic fields with everywhere good reduction and a non-trivial 3-division point

Journal of Number Theory ◽

10.1016/j.jnt.2013.02.007 ◽

2013 ◽

Vol 133 (9) ◽

pp. 2901-2913 ◽

Cited By ~ 2

Author(s):

Yu Zhao

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction ◽

Real Quadratic Fields ◽

Division Point ◽

Real Quadratic

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Iwasawa theory for elliptic curves over imaginary quadratic fields

Journal de Théorie des Nombres de Bordeaux ◽

10.5802/jtnb.300 ◽

2001 ◽

Vol 13 (1) ◽

pp. 1-25 ◽

Cited By ~ 5

Author(s):

Massimo Bertolini

Keyword(s):

Elliptic Curves ◽

Iwasawa Theory ◽

Quadratic Fields ◽

Imaginary Quadratic Fields

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Computing elliptic curves having good reduction everywhere over quadratic fields II

Algebraic Number Theory and Diophantine Analysis ◽

10.1515/9783110801958.239 ◽

2012 ◽

Author(s):

Masanari Kida

Keyword(s):

Elliptic Curves ◽

Quadratic Fields ◽

Good Reduction

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