Properties

Label 705600.ko
Number of curves $1$
Conductor $705600$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ko1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.ko

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.ko1 \([0, 0, 0, 22050, 2315250]\) \(13824/35\) \(-3001814235000000\) \([]\) \(3096576\) \(1.6536\)

Rank

sage: E.rank()
 

The elliptic curve 705600.ko1 has rank \(2\).

Complex multiplication

The elliptic curves in class 705600.ko do not have complex multiplication.

Modular form 705600.2.a.ko

sage: E.q_eigenform(10)
 
\(q - 3 q^{11} - q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display