Properties

Label 10944.cn
Number of curves $1$
Conductor $10944$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 10944.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10944.cn1 10944co1 \([0, 0, 0, -126, -16362]\) \(-4741632/2476099\) \(-115524874944\) \([]\) \(15360\) \(0.80182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10944.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10944.cn do not have complex multiplication.

Modular form 10944.2.a.cn

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 5 q^{7} + 5 q^{11} + 4 q^{13} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display