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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 317900.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.g1 | 317900g1 | \([0, 1, 0, 19267, 788863]\) | \(204800/187\) | \(-722196064480000\) | \([]\) | \(1078272\) | \(1.5384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900.g do not have complex multiplication.Modular form 317900.2.a.g
sage: E.q_eigenform(10)