Properties

Label 232050.gx
Number of curves $1$
Conductor $232050$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gx1")
 
E.isogeny_class()
 

Elliptic curves in class 232050.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
232050.gx1 232050gx1 \([1, 0, 0, -741713, -245930583]\) \(-2888094474031216969/10826524800\) \(-169164450000000\) \([]\) \(3386880\) \(1.9454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 232050.gx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 232050.gx do not have complex multiplication.

Modular form 232050.2.a.gx

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} + q^{9} + 6 q^{11} + q^{12} + q^{13} - q^{14} + q^{16} - q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display