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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 56550ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 56550.t1 | 56550ba1 | \([1, 0, 1, -11304701, -14630022952]\) | \(409016532427702875625/21434382508032\) | \(8372805667200000000\) | \([]\) | \(2964000\) | \(2.6994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56550ba do not have complex multiplication.Modular form 56550.2.a.ba
sage: E.q_eigenform(10)