Properties

Label 55545.j
Number of curves 1
Conductor 55545
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55545.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.j1 55545a1 [0, -1, 1, -18691, 985032] [] 107520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.j1 has rank \(1\).

Modular form 55545.2.a.j

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} - q^{5} + q^{7} + q^{9} + 3q^{11} + 2q^{12} - 6q^{13} + q^{15} + 4q^{16} + 4q^{17} + q^{19} + O(q^{20}) \)