Properties

Label 193600fq
Number of curves 1
Conductor 193600
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("193600.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193600fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.a1 193600fq1 [0, 0, 0, 931700, 322102000] [] 12165120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600fq1 has rank \(1\).

Modular form 193600.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - 5q^{7} + 6q^{9} - 4q^{13} - q^{17} + 5q^{19} + O(q^{20}) \)