Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55545.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55545.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55545.e1 55545i1 [1, 0, 0, 505184, -1077594175] [] 2318400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55545.e1 has rank \(1\).

Modular form 55545.2.a.e

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} - q^{4} - q^{5} - q^{6} - q^{7} + 3q^{8} + q^{9} + q^{10} + 5q^{11} - q^{12} + q^{13} + q^{14} - q^{15} - q^{16} - q^{18} + 5q^{19} + O(q^{20}) \)