Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.o1 166410ci1 \([1, -1, 0, -37434, 2796980]\) \(116205924655827/5242880\) \(261740298240\) \([]\) \(672000\) \(1.2674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.o1 has rank \(1\).

Complex multiplication

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

Modular form 166410.2.a.o

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