Properties

Label 166410cg
Number of curves $1$
Conductor $166410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 166410cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.k1 166410cg1 \([1, -1, 0, -141795, 20681325]\) \(-126504750721/675000\) \(-1682306502075000\) \([]\) \(1270080\) \(1.7663\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410cg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166410cg do not have complex multiplication.

Modular form 166410.2.a.cg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 4 q^{7} - q^{8} + q^{10} - 4 q^{11} + q^{13} - 4 q^{14} + q^{16} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display