ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE
2014 ◽
Vol 57
(2)
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pp. 465-473
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AbstractLet p be a prime and K a number field of degree p. We determine the finiteness of the number of elliptic curves, up to K-isomorphism, having a prescribed property, where this property is either that the curve contains a fixed torsion group as a subgroup or that it has a cyclic isogeny of prescribed degree.
2013 ◽
Vol 13
(3)
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pp. 517-559
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2019 ◽
Vol 19
(04)
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pp. 2050080
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2002 ◽
Vol 5
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pp. 7-17
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2017 ◽
Vol 13
(04)
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pp. 991-1001
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1997 ◽
Vol 07
(03)
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pp. 353-413
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2012 ◽
Vol 08
(05)
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pp. 1231-1246
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2019 ◽
Vol 15
(09)
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pp. 1895-1918
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