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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 80688bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80688.z1 | 80688bb1 | \([0, 1, 0, -17944, -915820]\) | \(92806423177/1769472\) | \(12183480041472\) | \([]\) | \(193536\) | \(1.3042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80688bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80688bb do not have complex multiplication.Modular form 80688.2.a.bb
sage: E.q_eigenform(10)