Properties

Label 102850.cq
Number of curves $1$
Conductor $102850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 102850.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.cq1 102850cm1 \([1, 1, 1, 15062, 907281]\) \(13651919/20570\) \(-569390777656250\) \([]\) \(368640\) \(1.5167\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.cq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 102850.cq do not have complex multiplication.

Modular form 102850.2.a.cq

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 4 q^{7} + q^{8} - 2 q^{9} - q^{12} - q^{13} + 4 q^{14} + q^{16} + q^{17} - 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display