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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 215475z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.bd1 | 215475z1 | \([0, 1, 1, 70417, 6571244]\) | \(819200/867\) | \(-40867611357421875\) | \([]\) | \(1123200\) | \(1.8741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215475z do not have complex multiplication.Modular form 215475.2.a.z
sage: E.q_eigenform(10)