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Sage Reference Manual: Elliptic and Plane Curves - Mirrors

Sage Reference Manual: Elliptic and Plane Curves - Mirrors

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CONTENTS1 <strong>Plane</strong> curve constructors 12 Affine plane curves over a general ring 33 Projective plane curves over a general ring 74 <strong>Plane</strong> conic constructor 155 Projective plane conics over a field 176 Projective plane conics over a number field 297 Projective plane conics over Q 338 Projective plane conics over finite fields 379 Projective plane conics over prime finite fields 3910 <strong>Elliptic</strong> curve constructor 4111 Construct <strong>Elliptic</strong> <strong>Curves</strong> as Jacobians 5312 <strong>Elliptic</strong> curves over a general ring 5713 <strong>Elliptic</strong> curves over a general field 7914 <strong>Elliptic</strong> curves over the rational numbers 9115 Heegner points on elliptic curves over the rational numbers 16716 Tables of elliptic curves of given rank 21917 <strong>Elliptic</strong> curves over number fields 22118 <strong>Elliptic</strong> curves over finite fields 24919 Points on elliptic curves 26720 Torsion subgroups of elliptic curves over number fields (including Q) 29921 Local data for elliptic curves over number fields 303i

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