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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 285912.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
285912.bb1 | 285912bb1 | \([0, 0, 0, -8607, -277837]\) | \(16746513664/1771561\) | \(7459518988944\) | \([]\) | \(466560\) | \(1.2047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 285912.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 285912.bb do not have complex multiplication.Modular form 285912.2.a.bb
sage: E.q_eigenform(10)