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the arithmetic of elliptic curves
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"the arithmetic of elliptic curves" is owned by alozano.
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See Also: elliptic curve, criterion of Néron-Ogg-Shafarevich, Hasse's bound for elliptic curves over finite fields, Birch and Swinnerton-Dyer conjecture, rank of an elliptic curve, Mazur's theorem on torsion of elliptic curves, the torsion subgroup of an elliptic curve injects in the reduction of the curve, L-series of an elliptic curve, conductor of an elliptic curve, elliptic curve discrete logarithm problem, bound for the rank of an elliptic curve, examples of torsion subgroups of elliptic curves, examples of elliptic curves with complex multiplication, endomorphism ring, bad reduction, Mordell-Weil theorem, Tate-Shafarevich group, Nagell-Lutz theorem, j-invariant, Mordell curve, Diffie-Hellman key exchange, Taniyama-Weil conjecture, Frobenius morphism, cryptography and number theory, Frey curve, descent theorem, isogenous, abelian extensions of quadratic imaginary number fields, dual isogeny, the  -invariant classifies elliptic curves up to isomorphism, algebraic number theory, Fermat's last theorem, isogeny, complex multiplication, bad reduction, Birch and Swinnerton-Dyer conjecture, Kronecker-Weber theorem
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concepts in the theory of elliptic curves |
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Cross-references: Diffie-Hellman key exchange, elliptic curve discrete logarithm problem, cryptography and number theory, Taniyama-Shimura-Weil conjecture, algebraic, Birch and Swinnerton-Dyer conjecture, modular forms, Fermat's last theorem, grössencharacters, abelian extensions of quadratic imaginary number fields, class, connection, examples of elliptic curves with complex multiplication, complex multiplication, bound for the rank of an elliptic curve, the torsion subgroup of an elliptic curve injects in the reduction of the curve, torsion group, subgroups, examples of torsion subgroups of elliptic curves, torsion subgroups, Mazur's theorem on torsion of elliptic curves, Nagell-Lutz theorem, Mordell curves, Hasse principle, Tate-Shafarevich group, Selmer groups, abelian group, rank, descent theorem, height function, theorem, proof, Mordell-Weil theorem, Hasse's bound for elliptic curves over finite fields, reduction, supersingular, criterion of Néron-Ogg-Shafarevich, elliptic regulator, height matrix, canonical height on an elliptic curve, inverse limit, Tate module, contains, measures, conductor of an elliptic curve, analytic continuation, associate, node, cusp, additive reduction, multiplicative reduction, bad reduction, good reduction, finite fields, Frobenius morphism, dual isogeny, isogeny, invariant differential, discriminant, objects, complex numbers, graphs, development, areas, geometry, arithmetic, number theory, algebraic geometry, theory, structure, group, integers, equation, isomorphic, simple, point, genus, curve, nonsingular, field, elliptic curve
There are 3 references to this entry.
This is version 12 of the arithmetic of elliptic curves, born on 2005-03-01, modified 2007-06-14.
Object id is 6837, canonical name is ArithmeticOfEllipticCurves.
Accessed 11701 times total.
Classification:
| AMS MSC: | 14H52 (Algebraic geometry :: Curves :: Elliptic curves) | | | 11G05 (Number theory :: Arithmetic algebraic geometry :: Elliptic curves over global fields) |
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Pending Errata and Addenda
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