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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 912.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
912.g1 | 912l1 | \([0, 1, 0, -37, -109]\) | \(-1404928/171\) | \(-700416\) | \([]\) | \(160\) | \(-0.14340\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 912.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 912.g do not have complex multiplication.Modular form 912.2.a.g
sage: E.q_eigenform(10)