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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 86640.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.b1 | 86640ce1 | \([0, -1, 0, 184, -2064]\) | \(463391/1440\) | \(-2129264640\) | \([]\) | \(34560\) | \(0.47318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86640.b do not have complex multiplication.Modular form 86640.2.a.b
sage: E.q_eigenform(10)