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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 257600.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.g1 | 257600g1 | \([0, 0, 0, 2442500, -37215701000]\) | \(100718081964000000/37453512751940327\) | \(-599256204031045232000000\) | \([]\) | \(56401920\) | \(3.2416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.g do not have complex multiplication.Modular form 257600.2.a.g
sage: E.q_eigenform(10)