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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 40560g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40560.m1 | 40560g1 | \([0, -1, 0, -1681, 27325]\) | \(-934577152/9375\) | \(-5272800000\) | \([]\) | \(34560\) | \(0.68437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40560g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40560g do not have complex multiplication.Modular form 40560.2.a.g
sage: E.q_eigenform(10)