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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 405720bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405720.bb1 | 405720bb1 | \([0, 0, 0, -7203, -7495922]\) | \(-196/115\) | \(-24249663999912960\) | \([]\) | \(2161152\) | \(1.8230\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405720bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405720bb do not have complex multiplication.Modular form 405720.2.a.bb
sage: E.q_eigenform(10)