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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 254100g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.g1 | 254100g1 | \([0, -1, 0, -12382333, -16258597463]\) | \(1185154785280/40920957\) | \(7249397150387700000000\) | \([]\) | \(18662400\) | \(2.9662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100g do not have complex multiplication.Modular form 254100.2.a.g
sage: E.q_eigenform(10)