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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 975.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
975.g1 | 975f1 | \([0, -1, 1, -83, 3818]\) | \(-32768/3159\) | \(-6169921875\) | \([]\) | \(400\) | \(0.55814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 975.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 975.g do not have complex multiplication.Modular form 975.2.a.g
sage: E.q_eigenform(10)