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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 199920.cx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 199920.cx1 | 199920cj1 | \([0, -1, 0, -3731723445, 87758485728957]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-1082653520734424560320000000\) | \([]\) | \(145152000\) | \(4.1890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 199920.cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 199920.cx do not have complex multiplication.Modular form 199920.2.a.cx
sage: E.q_eigenform(10)