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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 55506bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55506.x1 | 55506bb1 | \([1, 1, 1, -283014, -46352325]\) | \(5011452097/1054152\) | \(527335756715664072\) | \([]\) | \(835200\) | \(2.1153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55506bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55506bb do not have complex multiplication.Modular form 55506.2.a.bb
sage: E.q_eigenform(10)