Properties

Label 2.2.241.1-10.1-c
Base field \(\Q(\sqrt{241}) \)
Weight $[2, 2]$
Level norm $10$
Level $[10, 10, 23w - 190]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{241}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 60\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[10, 10, 23w - 190]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $49$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -393w - 2854]$ $\phantom{-}1$
2 $[2, 2, -393w + 3247]$ $-2$
3 $[3, 3, 4w - 33]$ $-3$
3 $[3, 3, 4w + 29]$ $-3$
5 $[5, 5, 42w + 305]$ $\phantom{-}1$
5 $[5, 5, -42w + 347]$ $-4$
29 $[29, 29, 1820w + 13217]$ $\phantom{-}0$
29 $[29, 29, 1820w - 15037]$ $-10$
41 $[41, 41, -80w - 581]$ $-2$
41 $[41, 41, 80w - 661]$ $-7$
47 $[47, 47, 34w - 281]$ $-9$
47 $[47, 47, 34w + 247]$ $\phantom{-}11$
49 $[49, 7, -7]$ $\phantom{-}1$
53 $[53, 53, 6w + 43]$ $-10$
53 $[53, 53, 6w - 49]$ $-10$
59 $[59, 59, 10w + 73]$ $-4$
59 $[59, 59, 10w - 83]$ $-9$
61 $[61, 61, 4178w + 30341]$ $\phantom{-}1$
61 $[61, 61, 4178w - 34519]$ $\phantom{-}1$
67 $[67, 67, -332w + 2743]$ $-4$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -393w - 2854]$ $-1$
$5$ $[5, 5, 42w + 305]$ $-1$