Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("55470.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 55470.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
55470.a1 55470b1 [1, 1, 0, -29131033, 60783850237] [] 6826680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55470.a1 has rank \(0\).

Modular form 55470.2.a.a

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