Properties

 Base field $$\Q(\sqrt{5})$$ Weight [2, 2] Level norm 99 Level $[99, 33, -9w + 6]$ Label 2.2.5.1-99.1-a 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 $[99, 33, -9w + 6]$ Label 2.2.5.1-99.1-a Dimension 1 Is CM no Is base change no Parent newspace dimension 1

Hecke eigenvalues ($q$-expansion)

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

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
9 $[9, 3, 3]$ $-1$
11 $[11, 11, -3w + 2]$ $-1$