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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 255600x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 255600.x1 | 255600x1 | \([0, 0, 0, -9454275, 11142893250]\) | \(2003092024307193/9529458688\) | \(444606424547328000000\) | \([]\) | \(13934592\) | \(2.8112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 255600x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 255600x do not have complex multiplication.Modular form 255600.2.a.x
sage: E.q_eigenform(10)