Properties

Label 55545v
Number of curves 1
Conductor 55545
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55545.y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.y1 55545v1 [0, 1, 1, -44290, -5032331] [] 524160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545v1 has rank \(0\).

Modular form 55545.2.a.y

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + 2q^{6} - q^{7} + q^{9} + 2q^{10} - 4q^{11} + 2q^{12} - q^{13} - 2q^{14} + q^{15} - 4q^{16} + 5q^{17} + 2q^{18} + 6q^{19} + O(q^{20}) \)