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Properties

Label 2601.2.t
Level $2601$
Weight $2$
Character orbit 2601.t
Rep. character $\chi_{2601}(118,\cdot)$
Character field $\Q(\zeta_{34})$
Dimension $2016$
Sturm bound $612$

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Defining parameters

Level: \( N \) \(=\) \( 2601 = 3^{2} \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2601.t (of order \(34\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 289 \)
Character field: \(\Q(\zeta_{34})\)
Sturm bound: \(612\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2601, [\chi])\).

Total New Old
Modular forms 4960 2048 2912
Cusp forms 4832 2016 2816
Eisenstein series 128 32 96

Trace form

\( 2016 q + 15 q^{2} - 135 q^{4} + 51 q^{5} - 17 q^{7} + 11 q^{8} + O(q^{10}) \) \( 2016 q + 15 q^{2} - 135 q^{4} + 51 q^{5} - 17 q^{7} + 11 q^{8} + 17 q^{10} + 17 q^{11} - 15 q^{13} - 68 q^{14} - 135 q^{16} + 27 q^{17} - 31 q^{19} + 17 q^{20} - 17 q^{22} + 17 q^{23} + 55 q^{25} + 21 q^{26} - 17 q^{28} + 17 q^{29} - 17 q^{31} + 33 q^{32} - 3 q^{34} + q^{35} - 17 q^{37} + 172 q^{38} + 17 q^{41} - 27 q^{43} + 85 q^{44} + 51 q^{46} + 12 q^{47} + 103 q^{49} + 49 q^{50} + 80 q^{52} - 2 q^{53} - 3 q^{55} + 17 q^{56} + 102 q^{58} - q^{59} - 17 q^{61} + 119 q^{62} - 107 q^{64} + 92 q^{67} + 31 q^{68} - 49 q^{70} + 153 q^{71} - 17 q^{73} + 204 q^{74} - 11 q^{76} - 111 q^{77} - 136 q^{79} + 153 q^{80} - 17 q^{82} - 39 q^{83} + 108 q^{85} + 19 q^{86} - 255 q^{88} - 29 q^{89} + 51 q^{91} - 153 q^{92} - 187 q^{94} + 17 q^{95} - 17 q^{97} - 231 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2601, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2601, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2601, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(867, [\chi])\)\(^{\oplus 2}\)