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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 54096z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.bd1 | 54096z1 | \([0, -1, 0, -28240, 2318464]\) | \(-105484561/36501\) | \(-861884421328896\) | \([]\) | \(258048\) | \(1.5772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096z do not have complex multiplication.Modular form 54096.2.a.z
sage: E.q_eigenform(10)