Properties

Label 409101.bg
Number of curves $1$
Conductor $409101$
CM no
Rank $0$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("409101.bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.bg1 409101bg1 [1, 1, 0, 1494, 39285] [] 496800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.bg1 has rank \(0\).

Modular form 409101.2.a.bg

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