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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 9196g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9196.f1 | 9196g1 | \([0, -1, 0, -2581, 51537]\) | \(-4194304/19\) | \(-8616872704\) | \([]\) | \(7140\) | \(0.75802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9196g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9196g do not have complex multiplication.Modular form 9196.2.a.g
sage: E.q_eigenform(10)