Properties

Label 3381.2.h
Level $3381$
Weight $2$
Character orbit 3381.h
Rep. character $\chi_{3381}(1126,\cdot)$
Character field $\Q$
Dimension $160$
Sturm bound $896$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 3381 = 3 \cdot 7^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3381.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 161 \)
Character field: \(\Q\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3381, [\chi])\).

Total New Old
Modular forms 464 160 304
Cusp forms 432 160 272
Eisenstein series 32 0 32

Trace form

\( 160 q + 8 q^{2} + 152 q^{4} + 24 q^{8} - 160 q^{9} + O(q^{10}) \) \( 160 q + 8 q^{2} + 152 q^{4} + 24 q^{8} - 160 q^{9} + 136 q^{16} - 8 q^{18} + 184 q^{25} - 8 q^{29} + 96 q^{32} - 152 q^{36} + 48 q^{46} + 16 q^{50} + 48 q^{58} + 56 q^{64} - 48 q^{71} - 24 q^{72} + 160 q^{81} + 152 q^{85} + 40 q^{92} + 48 q^{93} - 8 q^{95} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3381, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3381, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3381, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1127, [\chi])\)\(^{\oplus 2}\)