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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 5550.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.bb1 | 5550ba1 | \([1, 1, 1, -13, 11]\) | \(9765625/888\) | \(22200\) | \([]\) | \(432\) | \(-0.42672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5550.bb do not have complex multiplication.Modular form 5550.2.a.bb
sage: E.q_eigenform(10)