Properties

Label 250173.f
Number of curves 1
Conductor 250173
CM no
Rank 2

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("250173.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.f1 250173f1 [1, -1, 1, -2804, 61924] [] 294400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.f1 has rank \(2\).

Modular form 250173.2.a.f

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