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Reduction of elliptic
curves over imaginary quadratic number fields
Roelof Jacobus Stroeker |
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Vol. 108 (1983), No. 2, 451–463
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Abstract |
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It is shown that an elliptic curve defined over a complex quadratic field K, having good reduction at all primes, does not have a global minimal (Weierstrass) model. As a consequence of a theorem of Setzer it then follows that there are no elliptic curves over K having good reduction everywhere in case the class number of K is prime to 6. |
Mathematical Subject Classification 2000
Primary: 14G25
Secondary: 11G05, 14K07
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Milestones
Received: 4 November 1980
Published: 1 October 1983
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Authors |
| Roelof Jacobus Stroeker | |
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