Properties

Label 46410e
Number of curves 1
Conductor 46410
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("46410.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46410e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
46410.e1 46410e1 [1, 1, 0, -92228, -47906022] [] 1108800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46410e1 has rank \(1\).

Modular form 46410.2.a.e

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