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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 284592.bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 284592.bi1 | 284592bi1 | \([0, -1, 0, -550165744, -5013334763072]\) | \(-178284948703873/1944365472\) | \(-200848026877503644991356928\) | \([]\) | \(100362240\) | \(3.8626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592.bi do not have complex multiplication.Modular form 284592.2.a.bi
sage: E.q_eigenform(10)