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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 54208.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.bb1 | 54208bi1 | \([0, -1, 0, -976631, -371298431]\) | \(-908614343190016/386683451\) | \(-43842132552768704\) | \([]\) | \(460800\) | \(2.1539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54208.bb do not have complex multiplication.Modular form 54208.2.a.bb
sage: E.q_eigenform(10)