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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 188760.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.cx1 | 188760m1 | \([0, 1, 0, -11498065, -22648867837]\) | \(-25318105854976/18711151875\) | \(-124241687284652102880000\) | \([]\) | \(23789568\) | \(3.1308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.cx do not have complex multiplication.Modular form 188760.2.a.cx
sage: E.q_eigenform(10)