Properties

Label 55470.t
Number of curves $1$
Conductor $55470$
CM no
Rank $0$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55470.t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.t1 55470p1 [1, 1, 1, -707281, -243437137] [] 1059520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470.t1 has rank \(0\).

Modular form 55470.2.a.t

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