Properties

Label 55470j
Number of curves $1$
Conductor $55470$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55470.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.l1 55470j1 [1, 0, 1, -383, 3026] [] 24640 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470j1 has rank \(1\).

Modular form 55470.2.a.l

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - 2q^{11} + q^{12} + 3q^{13} - q^{14} + q^{15} + q^{16} - 2q^{17} - q^{18} + q^{19} + O(q^{20}) \)