Properties

Label 114950cn
Number of curves $1$
Conductor $114950$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{2} + 3 q^{3} + q^{4} + 3 q^{6} - 5 q^{7} + q^{8} + 6 q^{9} + 3 q^{12} - q^{13} - 5 q^{14} + q^{16} - 3 q^{17} + 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display