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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 32490.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32490.x1 | 32490w1 | \([1, -1, 0, 1386, -19980]\) | \(1118413511/1280000\) | \(-336856320000\) | \([]\) | \(47520\) | \(0.89829\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32490.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32490.x do not have complex multiplication.Modular form 32490.2.a.x
sage: E.q_eigenform(10)