↑

Properties

Label 495.6.c
Level $495$
Weight $6$
Character orbit 495.c
Rep. character $\chi_{495}(199,\cdot)$
Character field $\Q$
Dimension $124$
Sturm bound $432$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 495.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5 \)
Character field: \(\Q\)
Sturm bound: \(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(495, [\chi])\).

Total New Old
Modular forms 368 124 244
Cusp forms 352 124 228
Eisenstein series 16 0 16

Trace form

\( 124 q - 1932 q^{4} + 69 q^{5} + O(q^{10}) \) \( 124 q - 1932 q^{4} + 69 q^{5} + 854 q^{10} + 484 q^{11} - 5016 q^{14} + 27968 q^{16} + 80 q^{19} - 2232 q^{20} - 3845 q^{25} + 3180 q^{26} - 4836 q^{29} + 10442 q^{31} + 55528 q^{34} + 16542 q^{35} - 92132 q^{40} - 44124 q^{41} - 21780 q^{44} - 56780 q^{46} - 276356 q^{49} + 133230 q^{50} - 6897 q^{55} + 215904 q^{56} - 221250 q^{59} - 88516 q^{61} - 202772 q^{64} + 158760 q^{65} + 64992 q^{70} + 178110 q^{71} - 398580 q^{74} - 155352 q^{76} + 222212 q^{79} + 30396 q^{80} - 195370 q^{85} - 205620 q^{86} - 586842 q^{89} - 202176 q^{91} + 1040848 q^{94} + 23076 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{6}^{\mathrm{new}}(495, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(495, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(495, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(5, [\chi])\)\(^{\oplus 6}\)