Properties

Label 2.2.5.1-605.2-b
Base field \(\Q(\sqrt{5}) \)
Weight $[2, 2]$
Level norm $605$
Level $[605, 605, 4w + 23]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{5}) \)

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

Form

Weight: $[2, 2]$
Level: $[605, 605, 4w + 23]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $7$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $\phantom{-}1$
5 $[5, 5, -2w + 1]$ $\phantom{-}1$
9 $[9, 3, 3]$ $-2$
11 $[11, 11, -3w + 2]$ $\phantom{-}0$
11 $[11, 11, -3w + 1]$ $\phantom{-}0$
19 $[19, 19, -4w + 3]$ $\phantom{-}8$
19 $[19, 19, -4w + 1]$ $\phantom{-}4$
29 $[29, 29, w + 5]$ $\phantom{-}6$
29 $[29, 29, -w + 6]$ $\phantom{-}6$
31 $[31, 31, -5w + 2]$ $\phantom{-}4$
31 $[31, 31, -5w + 3]$ $-8$
41 $[41, 41, -6w + 5]$ $-6$
41 $[41, 41, w - 7]$ $-6$
49 $[49, 7, -7]$ $-14$
59 $[59, 59, 2w - 9]$ $\phantom{-}0$
59 $[59, 59, 7w - 5]$ $-12$
61 $[61, 61, 3w - 10]$ $-2$
61 $[61, 61, -3w - 7]$ $-10$
71 $[71, 71, -8w + 7]$ $\phantom{-}0$
71 $[71, 71, w - 9]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$5$ $[5, 5, -2w + 1]$ $-1$
$11$ $[11, 11, -3w + 2]$ $-1$