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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 317900x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 317900.x1 | 317900x1 | \([0, 1, 0, -4533, 119063]\) | \(-8912896/275\) | \(-317900000000\) | \([]\) | \(352512\) | \(0.98416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900x do not have complex multiplication.Modular form 317900.2.a.x
sage: E.q_eigenform(10)