Properties

Label 2.2.201.1-16.1-a
Base field \(\Q(\sqrt{201}) \)
Weight $[2, 2]$
Level norm $16$
Level $[16, 4, 4]$
Dimension $1$
CM yes
Base change yes

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{201}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 50\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[16, 4, 4]$
Dimension: $1$
CM: yes
Base change: yes
Newspace dimension: $11$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -17w - 112]$ $\phantom{-}0$
2 $[2, 2, -17w + 129]$ $\phantom{-}0$
3 $[3, 3, -124w + 941]$ $\phantom{-}0$
5 $[5, 5, -2w + 15]$ $\phantom{-}0$
5 $[5, 5, -2w - 13]$ $\phantom{-}0$
11 $[11, 11, 12w + 79]$ $\phantom{-}0$
11 $[11, 11, -12w + 91]$ $\phantom{-}0$
19 $[19, 19, -90w - 593]$ $-8$
19 $[19, 19, 90w - 683]$ $-8$
37 $[37, 37, -4w - 27]$ $\phantom{-}10$
37 $[37, 37, -4w + 31]$ $\phantom{-}10$
41 $[41, 41, 158w + 1041]$ $\phantom{-}0$
41 $[41, 41, 158w - 1199]$ $\phantom{-}0$
49 $[49, 7, -7]$ $\phantom{-}2$
53 $[53, 53, 46w - 349]$ $\phantom{-}0$
53 $[53, 53, 46w + 303]$ $\phantom{-}0$
67 $[67, 67, 586w - 4447]$ $\phantom{-}16$
73 $[73, 73, -32w - 211]$ $\phantom{-}10$
73 $[73, 73, 32w - 243]$ $\phantom{-}10$
101 $[101, 101, 2w - 11]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -17w - 112]$ $-1$
$2$ $[2, 2, -17w + 129]$ $-1$