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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 9702.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.bb1 | 9702cf1 | \([1, -1, 1, -5627, -161045]\) | \(551516475321/5632\) | \(201180672\) | \([]\) | \(12096\) | \(0.75151\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9702.bb do not have complex multiplication.Modular form 9702.2.a.bb
sage: E.q_eigenform(10)