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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 215475.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.z1 | 215475bg1 | \([0, -1, 1, 2817, 51443]\) | \(819200/867\) | \(-2615527126875\) | \([]\) | \(224640\) | \(1.0694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215475.z do not have complex multiplication.Modular form 215475.2.a.z
sage: E.q_eigenform(10)