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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 114950cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114950.dm1 | 114950cn1 | \([1, -1, 1, -144255, -22481753]\) | \(-11993263569/972800\) | \(-26927727200000000\) | \([]\) | \(2703360\) | \(1.8989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114950cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114950cn do not have complex multiplication.Modular form 114950.2.a.cn
sage: E.q_eigenform(10)