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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 308898bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308898.bo1 | 308898bo1 | \([1, -1, 1, -132983807, 584312729127]\) | \(70593496254289/824180736\) | \(3036531296246586213924864\) | \([]\) | \(69189120\) | \(3.5100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308898bo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 308898bo do not have complex multiplication.Modular form 308898.2.a.bo
sage: E.q_eigenform(10)