scholarly journals Determination of elliptic curves with everywhere good reduction over real quadratic fields Q(\sqrt3p)

2001 ◽  
Vol 96 (3) ◽  
pp. 231-245 ◽  
Author(s):  
Takaaki Kagawa
1992 ◽  
Vol 111 (2) ◽  
pp. 199-218 ◽  
Author(s):  
J. E. Cremona

AbstractThe modular symbols method developed by the author in 4 for the computation of cusp forms for 0(N) and related elliptic curves is here extended to 1(N). Two applications are given: the verification of a conjecture of Stevens 14 on modular curves parametrized by 1(N); and the study of certain elliptic curves with everywhere good reduction over real quadratic fields of prime discriminant, introduced by Shimura and related to Pinch's thesis 10.


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