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SageMath
E = EllipticCurve("gq1")
E.isogeny_class()
Elliptic curves in class 58800gq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.es1 | 58800gq1 | \([0, -1, 0, 1900792, 4084956912]\) | \(16468459/165888\) | \(-7650490466304000000000\) | \([]\) | \(3548160\) | \(2.8802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800gq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800gq do not have complex multiplication.Modular form 58800.2.a.gq
sage: E.q_eigenform(10)