Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.j1 166410cf1 \([1, -1, 0, -3106184445, 4070464738464325]\) \(-388982677010590321/839808000000000000\) \(-7155750347975293103232000000000000\) \([]\) \(843300864\) \(5.1751\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.j1 has rank \(0\).

Complex multiplication

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

Modular form 166410.2.a.j

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