Properties

Label 17472ck
Number of curves $1$
Conductor $17472$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 17472ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17472.e1 17472ck1 \([0, -1, 0, -6430977, 6315217569]\) \(-112205650221491190337/745029571313664\) \(-195305031942449135616\) \([]\) \(913920\) \(2.7290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17472ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17472ck do not have complex multiplication.

Modular form 17472.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + q^{11} + q^{13} + 3 q^{15} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display