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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 142956z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.d1 | 142956z1 | \([0, 0, 0, 25186248, 16942381605]\) | \(330349805568/214358881\) | \(-1146519812606482849482288\) | \([]\) | \(19305216\) | \(3.3055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142956z do not have complex multiplication.Modular form 142956.2.a.z
sage: E.q_eigenform(10)