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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 142912bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.v1 | 142912bo1 | \([0, -1, 0, -76097, 8012137]\) | \(47591793317892352/630767231017\) | \(645905644561408\) | \([]\) | \(619520\) | \(1.6491\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912bo do not have complex multiplication.Modular form 142912.2.a.bo
sage: E.q_eigenform(10)