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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 59850.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59850.bb1 | 59850cq1 | \([1, -1, 0, -74094417, 569589445341]\) | \(-98735339854432038328225/250451215107692352768\) | \(-114111834883442328229920000\) | \([]\) | \(16773120\) | \(3.6877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59850.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59850.bb do not have complex multiplication.Modular form 59850.2.a.bb
sage: E.q_eigenform(10)