Properties

Label 164730.cq
Number of curves $1$
Conductor $164730$
CM no
Rank $0$

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

Elliptic curves in class 164730.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.cq1 164730p1 \([1, 1, 1, -45520685, -118323462013]\) \(-5174410329260209/4691556000\) \(-9458148279614908644000\) \([]\) \(20563200\) \(3.1409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.cq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 164730.cq do not have complex multiplication.

Modular form 164730.2.a.cq

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 3 q^{7} + q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + q^{13} - 3 q^{14} - q^{15} + q^{16} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display