↑

Properties

Label 2523.2.i
Level $2523$
Weight $2$
Character orbit 2523.i
Rep. character $\chi_{2523}(196,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $816$
Sturm bound $580$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2523 = 3 \cdot 29^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2523.i (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 29 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(580\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2523, [\chi])\).

Total New Old
Modular forms 1920 816 1104
Cusp forms 1560 816 744
Eisenstein series 360 0 360

Trace form

\( 816 q + 142 q^{4} + 4 q^{5} + 2 q^{6} - 8 q^{7} + 136 q^{9} + 28 q^{11} + 10 q^{13} + 14 q^{15} - 118 q^{16} + 20 q^{20} - 10 q^{22} - 18 q^{23} + 6 q^{24} - 122 q^{25} - 28 q^{26} + 28 q^{28} + 40 q^{30}+ \cdots + 42 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(2523, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2523, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2523, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(87, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(841, [\chi])\)\(^{\oplus 2}\)