↑

Properties

Label 1045.4.bv
Level $1045$
Weight $4$
Character orbit 1045.bv
Rep. character $\chi_{1045}(84,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $2848$
Sturm bound $480$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1045 = 5 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1045.bv (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1045, [\chi])\).

Total New Old
Modular forms 2912 2912 0
Cusp forms 2848 2848 0
Eisenstein series 64 64 0

Trace form

\( 2848 q - 1414 q^{4} - 11 q^{5} - 10 q^{6} + 3126 q^{9} + O(q^{10}) \) \( 2848 q - 1414 q^{4} - 11 q^{5} - 10 q^{6} + 3126 q^{9} - 4 q^{11} + 42 q^{14} + 63 q^{15} + 5466 q^{16} - 20 q^{19} + 568 q^{20} - 90 q^{24} - 367 q^{25} + 1132 q^{26} - 30 q^{29} - 1850 q^{30} - 48 q^{34} + 575 q^{35} - 12496 q^{36} - 40 q^{39} + 3240 q^{40} - 3360 q^{41} - 2636 q^{44} + 64 q^{45} - 30652 q^{49} - 30 q^{51} - 2951 q^{55} + 2466 q^{59} - 2976 q^{60} + 1630 q^{61} + 38688 q^{64} - 1020 q^{66} - 5364 q^{70} - 4722 q^{71} - 10 q^{74} - 30 q^{79} - 383 q^{80} + 23386 q^{81} - 2845 q^{85} - 3678 q^{86} - 3900 q^{89} - 12615 q^{90} - 5316 q^{91} + 8550 q^{95} - 35780 q^{96} - 1116 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(1045, [\chi])\) into newform subspaces

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