Properties

Label 226576.ck
Number of curves $1$
Conductor $226576$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 226576.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226576.ck1 226576bq1 \([0, 1, 0, 3372, -77848]\) \(14000/17\) \(-5147288314112\) \([]\) \(331776\) \(1.1253\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226576.ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226576.ck do not have complex multiplication.

Modular form 226576.2.a.ck

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} - 5 q^{11} + 5 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display