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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 91035.bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 91035.bf1 | 91035bp1 | \([0, 0, 1, 2092938, -945269798]\) | \(11728027648/11252115\) | \(-972751665059580001995\) | \([]\) | \(3760128\) | \(2.7143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91035.bf do not have complex multiplication.Modular form 91035.2.a.bf
sage: E.q_eigenform(10)