Properties

Label 250173u
Number of curves 1
Conductor 250173
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("250173.u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.u1 250173u1 [0, 0, 1, -17328, 649890] [] 599040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173u1 has rank \(1\).

Modular form 250173.2.a.u

sage: E.q_eigenform(10)
 
\( q - 2q^{4} - q^{5} + q^{7} + q^{11} + 4q^{16} + 6q^{17} + O(q^{20}) \)