Properties

Label 193600f
Number of curves $1$
Conductor $193600$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 193600f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.p1 193600f1 \([0, 0, 0, -55660, -6921200]\) \(-2628072/1331\) \(-9658153742336000\) \([]\) \(2396160\) \(1.7720\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 193600f do not have complex multiplication.

Modular form 193600.2.a.f

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