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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 141570ea
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 141570.x1 | 141570ea1 | \([1, -1, 0, 963495, 227174701]\) | \(1121395878788998439/902241990000000\) | \(-79585863695910000000\) | \([]\) | \(3763200\) | \(2.5065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570ea1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570ea do not have complex multiplication.Modular form 141570.2.a.ea
sage: E.q_eigenform(10)