# Properties

 Label 2.2.28.1-175.1-i Base field $$\Q(\sqrt{7})$$ Weight $[2, 2]$ Level norm $175$ Level $[175, 35, 5w]$ Dimension $1$ CM no Base change yes

# Related objects

## Base field $$\Q(\sqrt{7})$$

Generator $$w$$, with minimal polynomial $$x^{2} - 7$$; narrow class number $$2$$ and class number $$1$$.

## Form

 Weight: $[2, 2]$ Level: $[175, 35, 5w]$ Dimension: $1$ CM: no Base change: yes Newspace dimension: $46$

## Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w - 3]$ $\phantom{-}0$
3 $[3, 3, w - 2]$ $\phantom{-}1$
3 $[3, 3, w + 2]$ $\phantom{-}1$
7 $[7, 7, w]$ $\phantom{-}1$
19 $[19, 19, 2w - 3]$ $\phantom{-}2$
19 $[19, 19, 2w + 3]$ $\phantom{-}2$
25 $[25, 5, 5]$ $\phantom{-}1$
29 $[29, 29, -w - 6]$ $\phantom{-}3$
29 $[29, 29, w - 6]$ $\phantom{-}3$
31 $[31, 31, 4w + 9]$ $-4$
31 $[31, 31, -4w + 9]$ $-4$
37 $[37, 37, -3w + 10]$ $\phantom{-}2$
37 $[37, 37, -6w + 17]$ $\phantom{-}2$
47 $[47, 47, -3w - 4]$ $\phantom{-}9$
47 $[47, 47, 3w - 4]$ $\phantom{-}9$
53 $[53, 53, 2w - 9]$ $\phantom{-}12$
53 $[53, 53, 2w + 9]$ $\phantom{-}12$
59 $[59, 59, 3w - 2]$ $\phantom{-}0$
59 $[59, 59, -3w - 2]$ $\phantom{-}0$
83 $[83, 83, -6w - 13]$ $\phantom{-}12$
 Display number of eigenvalues

## Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$7$ $[7, 7, w]$ $-1$
$25$ $[25, 5, 5]$ $-1$