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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32487.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.q1 | 32487o1 | \([0, 1, 1, -1114766, -656107273]\) | \(-1302227927110660096/825290486657091\) | \(-97094600464720099059\) | \([]\) | \(1571328\) | \(2.5367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32487.q do not have complex multiplication.Modular form 32487.2.a.q
sage: E.q_eigenform(10)