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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 67158.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.bb1 | 67158bo1 | \([1, -1, 1, -7394, 245747]\) | \(61316796395737/232911406\) | \(169792414974\) | \([]\) | \(105600\) | \(1.0137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67158.bb do not have complex multiplication.Modular form 67158.2.a.bb
sage: E.q_eigenform(10)