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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 92736bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.ff1 | 92736bi1 | \([0, 0, 0, 5239284, -3097598992]\) | \(83228502970940543/69854999176704\) | \(-13349498231145684271104\) | \([]\) | \(6082560\) | \(2.9332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736bi do not have complex multiplication.Modular form 92736.2.a.bi
sage: E.q_eigenform(10)