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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 17787bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.bb1 | 17787bb1 | \([0, 1, 1, 180, -115]\) | \(45056/27\) | \(-384359283\) | \([]\) | \(13608\) | \(0.33654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787bb do not have complex multiplication.Modular form 17787.2.a.bb
sage: E.q_eigenform(10)