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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 33800.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.z1 | 33800bb1 | \([0, -1, 0, 1147792, -1198459588]\) | \(86614940/371293\) | \(-716864157614800000000\) | \([]\) | \(1209600\) | \(2.6843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800.z do not have complex multiplication.Modular form 33800.2.a.z
sage: E.q_eigenform(10)