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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 200400ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 200400.f1 | 200400ba1 | \([0, -1, 0, -1239208, -530563088]\) | \(-26306719916021/730458\) | \(-5843664000000000\) | \([]\) | \(2419200\) | \(2.1281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400ba do not have complex multiplication.Modular form 200400.2.a.ba
sage: E.q_eigenform(10)