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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 68445z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68445.bl1 | 68445z1 | \([0, 0, 1, -507, -3845]\) | \(36864/5\) | \(1954857645\) | \([]\) | \(51840\) | \(0.50998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68445z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68445z do not have complex multiplication.Modular form 68445.2.a.z
sage: E.q_eigenform(10)