Properties

Label 109554.j
Number of curves $1$
Conductor $109554$
CM no
Rank $1$

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

Elliptic curves in class 109554.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
109554.j1 109554k1 \([1, 0, 1, -259475, -51587422]\) \(-2010409280180424553/31887805608612\) \(-30644181189876132\) \([]\) \(1354320\) \(1.9646\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 109554.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 109554.j do not have complex multiplication.

Modular form 109554.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 2 q^{5} - q^{6} - 4 q^{7} - q^{8} + q^{9} - 2 q^{10} + 3 q^{11} + q^{12} + 4 q^{14} + 2 q^{15} + q^{16} - 4 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display