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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 32487.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.p1 | 32487p1 | \([0, 1, 1, -34414, -2466383]\) | \(15957372928/17901\) | \(5056589432349\) | \([]\) | \(118272\) | \(1.3517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32487.p do not have complex multiplication.Modular form 32487.2.a.p
sage: E.q_eigenform(10)