Properties

Base field \(\Q(\sqrt{3}) \)
Weight [2, 2]
Level norm 338
Level $[338, 26, -13w + 13]$
Label 2.2.12.1-338.1-c
Dimension 1
CM no
Base change yes

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Base field \(\Q(\sqrt{3}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 3\); narrow class number \(2\) and class number \(1\).

Form

Weight [2, 2]
Level $[338, 26, -13w + 13]$
Label 2.2.12.1-338.1-c
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 12

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w + 1]$ $\phantom{-}1$
3 $[3, 3, w]$ $-3$
11 $[11, 11, -2w + 1]$ $-2$
11 $[11, 11, 2w + 1]$ $-2$
13 $[13, 13, w + 4]$ $-1$
13 $[13, 13, -w + 4]$ $-1$
23 $[23, 23, -3w + 2]$ $-4$
23 $[23, 23, 3w + 2]$ $-4$
25 $[25, 5, 5]$ $-9$
37 $[37, 37, 2w - 7]$ $\phantom{-}3$
37 $[37, 37, -2w - 7]$ $\phantom{-}3$
47 $[47, 47, -4w - 1]$ $\phantom{-}13$
47 $[47, 47, 4w - 1]$ $\phantom{-}13$
49 $[49, 7, -7]$ $-13$
59 $[59, 59, 5w - 4]$ $-10$
59 $[59, 59, -5w - 4]$ $-10$
61 $[61, 61, -w - 8]$ $-8$
61 $[61, 61, w - 8]$ $-8$
71 $[71, 71, 5w - 2]$ $-5$
71 $[71, 71, -5w - 2]$ $-5$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, -w + 1]$ $-1$
13 $[13, 13, w + 4]$ $1$
13 $[13, 13, -w + 4]$ $1$