Properties

Label 6.6.434581.1-71.1-b
Base field 6.6.434581.1
Weight [2,2,2,2,2,2][2, 2, 2, 2, 2, 2]
Level norm 7171
Level [71,71,2w56w44w3+17w2w6][71, 71, 2 w^5 - 6 w^4 - 4 w^3 + 17 w^2 - w - 6]
Dimension 11
CM no
Base change no

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Base field 6.6.434581.1

Generator ww, with minimal polynomial x62x54x4+5x3+4x22x1x^6 - 2 x^5 - 4 x^4 + 5 x^3 + 4 x^2 - 2 x - 1; narrow class number 11 and class number 11.

Form

Weight: [2,2,2,2,2,2][2, 2, 2, 2, 2, 2]
Level: [71,71,2w56w44w3+17w2w6][71, 71, 2 w^5 - 6 w^4 - 4 w^3 + 17 w^2 - w - 6]
Dimension: 11
CM: no
Base change: no
Newspace dimension: 99

Hecke eigenvalues (qq-expansion)

The Hecke eigenvalue field is Q\Q.
Norm Prime Eigenvalue
13 [13,13,w5+3w4+2w39w2+w+4][13, 13, -w^5 + 3 w^4 + 2 w^3 - 9 w^2 + w + 4] 1-1
13 [13,13,w2+w+2][13, 13, -w^2 + w + 2] 4-4
27 [27,3,2w54w47w3+9w2+4w2][27, 3, 2 w^5 - 4 w^4 - 7 w^3 + 9 w^2 + 4 w - 2] 5-5
27 [27,3,2w5+5w4+5w312w2w+5][27, 3, -2 w^5 + 5 w^4 + 5 w^3 - 12 w^2 - w + 5] 4\phantom{-}4
29 [29,29,w32w22w+3][29, 29, w^3 - 2 w^2 - 2 w + 3] 0\phantom{-}0
29 [29,29,2w54w47w3+8w2+4w2][29, 29, 2 w^5 - 4 w^4 - 7 w^3 + 8 w^2 + 4 w - 2] 6\phantom{-}6
43 [43,43,w5+3w4+w36w2+3w+1][43, 43, -w^5 + 3 w^4 + w^3 - 6 w^2 + 3 w + 1] 2\phantom{-}2
43 [43,43,w4+w3+5w24][43, 43, -w^4 + w^3 + 5 w^2 - 4] 7-7
49 [49,7,w54w4+11w23w4][49, 7, w^5 - 4 w^4 + 11 w^2 - 3 w - 4] 5\phantom{-}5
64 [64,2,2][64, 2, -2] 7-7
71 [71,71,2w56w44w3+17w2w6][71, 71, 2 w^5 - 6 w^4 - 4 w^3 + 17 w^2 - w - 6] 1-1
71 [71,71,2w44w36w2+7w+2][71, 71, 2 w^4 - 4 w^3 - 6 w^2 + 7 w + 2] 12-12
71 [71,71,w5+3w4+2w37w2w][71, 71, -w^5 + 3 w^4 + 2 w^3 - 7 w^2 - w] 6\phantom{-}6
71 [71,71,2w5+5w4+6w314w23w+5][71, 71, -2 w^5 + 5 w^4 + 6 w^3 - 14 w^2 - 3 w + 5] 12\phantom{-}12
83 [83,83,3w5+7w4+9w317w25w+5][83, 83, -3 w^5 + 7 w^4 + 9 w^3 - 17 w^2 - 5 w + 5] 9-9
83 [83,83,3w56w410w3+12w2+5w2][83, 83, 3 w^5 - 6 w^4 - 10 w^3 + 12 w^2 + 5 w - 2] 12-12
83 [83,83,2w5+5w4+5w311w23w+3][83, 83, -2 w^5 + 5 w^4 + 5 w^3 - 11 w^2 - 3 w + 3] 3-3
83 [83,83,3w57w48w3+15w2+2w4][83, 83, 3 w^5 - 7 w^4 - 8 w^3 + 15 w^2 + 2 w - 4] 0\phantom{-}0
97 [97,97,3w5+6w4+10w312w25w+3][97, 97, -3 w^5 + 6 w^4 + 10 w^3 - 12 w^2 - 5 w + 3] 14\phantom{-}14
97 [97,97,w52w44w3+5w2+5w3][97, 97, w^5 - 2 w^4 - 4 w^3 + 5 w^2 + 5 w - 3] 8\phantom{-}8
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
7171 [71,71,2w56w44w3+17w2w6][71, 71, 2 w^5 - 6 w^4 - 4 w^3 + 17 w^2 - w - 6] 11