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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 58800.gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.gg1 | 58800em1 | \([0, 1, 0, 1167, -8037]\) | \(35840/27\) | \(-132300000000\) | \([]\) | \(60480\) | \(0.82220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.gg do not have complex multiplication.Modular form 58800.2.a.gg
sage: E.q_eigenform(10)