Properties

Label 286650.v
Number of curves 1
Conductor 286650
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("286650.v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 286650.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
286650.v1 286650v1 [1, -1, 0, -1495692, 4325833966] [] 25804800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.v1 has rank \(1\).

Modular form 286650.2.a.v

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} - 4q^{11} - q^{13} + q^{16} - 5q^{17} - 7q^{19} + O(q^{20}) \)