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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 418275.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418275.z1 | 418275z1 | \([1, -1, 1, -7130, -1249478]\) | \(-675/11\) | \(-653166810635625\) | \([]\) | \(1327104\) | \(1.5240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418275.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418275.z do not have complex multiplication.Modular form 418275.2.a.z
sage: E.q_eigenform(10)