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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 58800.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.g1 | 58800ci1 | \([0, -1, 0, -1656608, -820635213]\) | \(-427361108435200/301327047\) | \(-354508257525030000\) | \([]\) | \(1032192\) | \(2.3036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.g do not have complex multiplication.Modular form 58800.2.a.g
sage: E.q_eigenform(10)