Properties

Label 250173.c
Number of curves 1
Conductor 250173
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("250173.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 250173.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
250173.c1 250173c1 [0, 0, 1, -5576367, -3018983706] [] 20428800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.c1 has rank \(1\).

Modular form 250173.2.a.c

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} + q^{5} + q^{7} - 2q^{10} - q^{11} - 4q^{13} - 2q^{14} - 4q^{16} - 6q^{17} + O(q^{20}) \)