Properties

Label 166410.ch
Number of curves $1$
Conductor $166410$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.ch1 166410r1 \([1, -1, 1, -2429933, -1416165019]\) \(186222121/6000\) \(51124188014226774000\) \([]\) \(6935040\) \(2.5558\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.ch1 has rank \(1\).

Complex multiplication

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

Modular form 166410.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 3 q^{7} + q^{8} - q^{10} - q^{11} - 6 q^{13} + 3 q^{14} + q^{16} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display