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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 42350.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42350.bb1 | 42350s1 | \([1, -1, 0, -151817, 41387341]\) | \(-115538049/153664\) | \(-514675673281000000\) | \([]\) | \(443520\) | \(2.0913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42350.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42350.bb do not have complex multiplication.Modular form 42350.2.a.bb
sage: E.q_eigenform(10)