Properties

Label 286650.e
Number of curves 1
Conductor 286650
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("286650.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 286650.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
286650.e1 286650e1 [1, -1, 0, 2934258, -1226791084] [] 18816000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.e1 has rank \(0\).

Modular form 286650.2.a.e

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} - 6q^{11} - q^{13} + q^{16} + 3q^{17} + 4q^{19} + O(q^{20}) \)