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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 29232.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 29232.x1 | 29232w1 | \([0, 0, 0, -1529835, -728322534]\) | \(-3580418379458257875/83441483776\) | \(-9227960573755392\) | \([]\) | \(264960\) | \(2.1758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29232.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29232.x do not have complex multiplication.Modular form 29232.2.a.x
sage: E.q_eigenform(10)