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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 350658.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 350658.x1 | 350658x1 | \([1, -1, 0, -546882, -1692982252]\) | \(-14006234957625/950798385152\) | \(-1227925659400733196288\) | \([]\) | \(11692800\) | \(2.7264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.x do not have complex multiplication.Modular form 350658.2.a.x
sage: E.q_eigenform(10)