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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 254100.bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254100.bi1 | 254100bi1 | \([0, -1, 0, -321658, 248936437]\) | \(-68679424/459375\) | \(-24617777739843750000\) | \([]\) | \(5322240\) | \(2.4042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100.bi do not have complex multiplication.Modular form 254100.2.a.bi
sage: E.q_eigenform(10)