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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 260100.bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 260100.bf1 | 260100bf1 | \([0, 0, 0, -99705, -21985675]\) | \(-3114752/4131\) | \(-145380529811862000\) | \([]\) | \(2211840\) | \(1.9860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 260100.bf do not have complex multiplication.Modular form 260100.2.a.bf
sage: E.q_eigenform(10)