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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 236992bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.bb1 | 236992bb1 | \([0, -1, 0, -337, 2777]\) | \(-340736/49\) | \(-610491392\) | \([]\) | \(73728\) | \(0.41650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 236992bb do not have complex multiplication.Modular form 236992.2.a.bb
sage: E.q_eigenform(10)