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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 379050.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.bo1 | 379050bo1 | \([1, 1, 0, -45, -315]\) | \(-1155865/3528\) | \(-31840200\) | \([]\) | \(103680\) | \(0.12640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.bo do not have complex multiplication.Modular form 379050.2.a.bo
sage: E.q_eigenform(10)