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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 430950.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.v1 | 430950v1 | \([1, 1, 0, -55, -125]\) | \(895973/306\) | \(6464250\) | \([]\) | \(98304\) | \(0.0088470\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.v do not have complex multiplication.Modular form 430950.2.a.v
sage: E.q_eigenform(10)