Elliptic curves with complex multiplication and Galois module structure.
Anupam Srivastav, Martin J. Taylor (1990)
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Werner Bley (1994)
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Tom Fisher (2015)
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We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over ℚ, i.e. pairs of non-isogenous elliptic curves over ℚ whose 9-torsion subgroups are isomorphic as Galois modules.
Annette Klute (1997)
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Uwe Jannsen (1982/83)
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Stéphane Vinatier (2005)
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Greg W. Anderson (1989)
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Henri Darmon (1992)
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Martha Rzedowski Calderón (1990)
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A. Reverter, N. Vila (2000)
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Jan Brinkhuis (1992)
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José Felipe Voloch, Robert F. Coleman (1992)
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M.J. Taylor (1978)
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