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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 77658bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.bf1 | 77658bo1 | \([1, 0, 0, -5779, 171425]\) | \(-11543820929593/224042112\) | \(-414253865088\) | \([]\) | \(112896\) | \(1.0228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658bo do not have complex multiplication.Modular form 77658.2.a.bo
sage: E.q_eigenform(10)