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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 134640.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 134640.x1 | 134640eu1 | \([0, 0, 0, 9357, -2072558]\) | \(60684268318/1278028125\) | \(-1908085766400000\) | \([]\) | \(465920\) | \(1.6124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640.x do not have complex multiplication.Modular form 134640.2.a.x
sage: E.q_eigenform(10)