On Schertz's class number formula related to elliptic units for some non-Galois extensions
Jiro Suzuki (1991)
Acta Arithmetica
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Jiro Suzuki (1991)
Acta Arithmetica
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Tom Fisher (2015)
Acta Arithmetica
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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.
Franz Lemmermeyer (2003)
Acta Arithmetica
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Heima Hayashi (1983)
Manuscripta mathematica
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Bochev, P., Gunzburger, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Joseph H. Silverman (2012)
Acta Arithmetica
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Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Kay Wingberg (1991)
Journal für die reine und angewandte Mathematik
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Annette Klute (1997)
Manuscripta mathematica
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Anupam Srivastav, Martin J. Taylor (1990)
Inventiones mathematicae
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Pilar Bayer, Gerhard Frey (1991)
Mathematische Zeitschrift
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Devdariani, G. (2000)
Bulletin of TICMI
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Werner Bley (1994)
Manuscripta mathematica
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