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Elliptic and Plane Curves
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Elliptic and Plane Curves
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Plane curve constructors
Affine plane curves over a general ring
Projective plane curves over a general ring
Plane conic constructor
Projective plane conics over a field
Projective plane conics over a number field
Projective plane conics over
Projective plane conics over finite fields
Projective plane conics over prime finite fields
Elliptic curve constructor
Construct Elliptic Curves as Jacobians
Elliptic curves over a general ring
Elliptic curves over a general field
Elliptic curves over the rational numbers
Heegner points on elliptic curves over the rational numbers
Tables of elliptic curves of given rank
Elliptic curves over number fields
Elliptic curves over finite fields
Points on elliptic curves
Torsion subgroups of elliptic curves over number fields (including
)
Local data for elliptic curves over number fields
Kodaira symbols
Isomorphisms between Weierstrass models of elliptic curves
Isogenies
Weierstrass
function for elliptic curves
Period lattices of elliptic curves and related functions
Formal groups of elliptic curves
Tate’s parametrisation of
-adic curves with multiplicative reduction
Computation of Frobenius matrix on Monsky-Washnitzer cohomology
p-adic L-functions of elliptic curves
Modular symbols
Modular parametrization of elliptic curves over
Galois representations attached to elliptic curves
Tate-Shafarevich group
Miscellaneous p-adic functions
Complex multiplication for elliptic curves
Hyperelliptic Curves
¶
Hyperelliptic curve constructor
Hyperelliptic curves over a finite field
Hyperelliptic curves over a general ring
Jacobian of a Hyperelliptic curve of Genus 2
Jacobian of a General Hyperelliptic Curve
Rational point sets on a Jacobian
Jacobian ‘morphism’ as a class in the Picard group
Conductor and Reduction Types for Genus 2 Curves
Indices and Tables
¶
Index
Module Index
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Elliptic and Plane Curves
Hyperelliptic Curves
Indices and Tables
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Sage Reference Manual
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Elliptic and Plane Curves
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