Properties

Label 193600k
Number of curves $1$
Conductor $193600$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 193600k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.x1 193600k1 \([0, 1, 0, -4033, 93663]\) \(24200\) \(299847680000\) \([]\) \(221184\) \(0.96749\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600k1 has rank \(2\).

Complex multiplication

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

Modular form 193600.2.a.k

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