Properties

Label 2.2.101.1-36.1-a
Base field \(\Q(\sqrt{101}) \)
Weight $[2, 2]$
Level norm $36$
Level $[36, 6, 6]$
Dimension $1$
CM no
Base change yes

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Base field \(\Q(\sqrt{101}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 25\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[36, 6, 6]$
Dimension: $1$
CM: no
Base change: yes
Newspace dimension: $37$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $-1$
5 $[5, 5, -w + 5]$ $\phantom{-}0$
5 $[5, 5, -w - 4]$ $\phantom{-}0$
9 $[9, 3, 3]$ $-1$
13 $[13, 13, w + 3]$ $\phantom{-}2$
13 $[13, 13, w - 4]$ $\phantom{-}2$
17 $[17, 17, w + 6]$ $\phantom{-}2$
17 $[17, 17, -w + 7]$ $\phantom{-}2$
19 $[19, 19, w + 2]$ $-4$
19 $[19, 19, w - 3]$ $-4$
23 $[23, 23, w + 1]$ $-8$
23 $[23, 23, -w + 2]$ $-8$
31 $[31, 31, -w - 7]$ $\phantom{-}0$
31 $[31, 31, w - 8]$ $\phantom{-}0$
37 $[37, 37, 2w - 9]$ $\phantom{-}10$
37 $[37, 37, 2w + 7]$ $\phantom{-}10$
43 $[43, 43, 4w + 17]$ $\phantom{-}0$
43 $[43, 43, 4w - 21]$ $\phantom{-}0$
47 $[47, 47, -w - 8]$ $-12$
47 $[47, 47, w - 9]$ $-12$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$4$ $[4, 2, 2]$ $1$
$9$ $[9, 3, 3]$ $1$