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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 67280.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67280.z1 | 67280i1 | \([0, -1, 0, -235760, -21349408]\) | \(1414562/625\) | \(640315408590080000\) | \([]\) | \(779520\) | \(2.1125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67280.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67280.z do not have complex multiplication.Modular form 67280.2.a.z
sage: E.q_eigenform(10)