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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 487872bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.bf1 | 487872bf1 | \([0, 0, 0, -58191804, -170873535096]\) | \(-610325920583424/55240493\) | \(-1972445017225477487616\) | \([]\) | \(44236800\) | \(3.1256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872bf do not have complex multiplication.Modular form 487872.2.a.bf
sage: E.q_eigenform(10)