Properties

 Base field $$\Q(\sqrt{77})$$ Weight [2, 2] Level norm 275 Level $[275, 55, -5w - 25]$ Label 2.2.77.1-275.1-a Dimension 1 CM no Base change yes

Related objects

Base field $$\Q(\sqrt{77})$$

Generator $$w$$, with minimal polynomial $$x^{2} - x - 19$$; narrow class number $$2$$ and class number $$1$$.

Form

 Weight [2, 2] Level $[275, 55, -5w - 25]$ Label 2.2.77.1-275.1-a Dimension 1 Is CM no Is base change yes Parent newspace dimension 238

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $-3$
7 $[7, 7, -w - 3]$ $\phantom{-}0$
9 $[9, 3, 3]$ $-6$
11 $[11, 11, w + 5]$ $-1$
13 $[13, 13, w + 2]$ $\phantom{-}2$
13 $[13, 13, w - 3]$ $\phantom{-}2$
17 $[17, 17, w + 1]$ $\phantom{-}6$
17 $[17, 17, -w + 2]$ $\phantom{-}6$
19 $[19, 19, w]$ $-4$
19 $[19, 19, w - 1]$ $-4$
23 $[23, 23, w + 6]$ $\phantom{-}4$
23 $[23, 23, -w + 7]$ $\phantom{-}4$
25 $[25, 5, -5]$ $\phantom{-}1$
37 $[37, 37, -w - 7]$ $-2$
37 $[37, 37, w - 8]$ $-2$
41 $[41, 41, 2w - 7]$ $\phantom{-}2$
41 $[41, 41, -2w - 5]$ $\phantom{-}2$
53 $[53, 53, -w - 8]$ $-2$
53 $[53, 53, w - 9]$ $-2$
61 $[61, 61, 2w - 5]$ $-10$
 Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
11 $[11, 11, w + 5]$ $1$
25 $[25, 5, -5]$ $-1$