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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 112710bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.bb1 | 112710bb1 | \([1, 0, 1, -5064, 285652]\) | \(-594823321/1120470\) | \(-27045421937430\) | \([]\) | \(276480\) | \(1.2672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112710bb do not have complex multiplication.Modular form 112710.2.a.bb
sage: E.q_eigenform(10)