Properties

Base field \(\Q(\sqrt{341}) \)
Weight [2, 2]
Level norm 11
Level $[11, 11, 3w - 29]$
Label 2.2.341.1-11.1-b
Dimension 1
CM no
Base change yes

Related objects

Downloads

Learn more about

Base field \(\Q(\sqrt{341}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 85\); narrow class number \(2\) and class number \(1\).

Form

Weight [2, 2]
Level $[11, 11, 3w - 29]$
Label 2.2.341.1-11.1-b
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 82

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $\phantom{-}0$
5 $[5, 5, -w + 10]$ $\phantom{-}1$
5 $[5, 5, w + 9]$ $\phantom{-}1$
9 $[9, 3, 3]$ $-5$
11 $[11, 11, 3w - 29]$ $-1$
13 $[13, 13, w - 9]$ $-4$
13 $[13, 13, -w - 8]$ $-4$
17 $[17, 17, 2w + 17]$ $\phantom{-}2$
17 $[17, 17, -2w + 19]$ $\phantom{-}2$
29 $[29, 29, -w - 7]$ $\phantom{-}0$
29 $[29, 29, w - 8]$ $\phantom{-}0$
31 $[31, 31, 5w - 49]$ $\phantom{-}7$
43 $[43, 43, -w - 6]$ $\phantom{-}6$
43 $[43, 43, w - 7]$ $\phantom{-}6$
47 $[47, 47, -w - 11]$ $\phantom{-}8$
47 $[47, 47, w - 12]$ $\phantom{-}8$
49 $[49, 7, -7]$ $-10$
59 $[59, 59, 2w - 21]$ $\phantom{-}5$
59 $[59, 59, 2w + 19]$ $\phantom{-}5$
61 $[61, 61, 5w - 48]$ $-12$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
11 $[11, 11, 3w - 29]$ $1$