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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 137904bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137904.e1 | 137904bb1 | \([0, -1, 0, -11717, -791571]\) | \(-53248/51\) | \(-170402884694016\) | \([]\) | \(474240\) | \(1.4270\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137904bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 137904bb do not have complex multiplication.Modular form 137904.2.a.bb
sage: E.q_eigenform(10)