Properties

Label 16744.j
Number of curves $1$
Conductor $16744$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 16744.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16744.j1 16744i1 \([0, -1, 0, -169, -195]\) \(2097544192/1107197\) \(283442432\) \([]\) \(4416\) \(0.31344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16744.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16744.j do not have complex multiplication.

Modular form 16744.2.a.j

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{5} + q^{7} + q^{9} - q^{11} + q^{13} - 4 q^{15} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display