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Properties

Label 2448.2.cc
Level $2448$
Weight $2$
Character orbit 2448.cc
Rep. character $\chi_{2448}(1393,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $212$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2448.cc (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 153 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).

Total New Old
Modular forms 888 220 668
Cusp forms 840 212 628
Eisenstein series 48 8 40

Trace form

\( 212 q - 8 q^{9} + O(q^{10}) \) \( 212 q - 8 q^{9} - 2 q^{13} + 10 q^{15} + 8 q^{19} - 10 q^{21} + 96 q^{25} - 6 q^{33} - 20 q^{35} + 2 q^{43} - 18 q^{47} + 92 q^{49} - 2 q^{51} - 8 q^{53} + 28 q^{55} - 34 q^{59} + 2 q^{67} + 6 q^{69} - 38 q^{77} - 14 q^{83} + 4 q^{85} + 46 q^{87} - 24 q^{89} - 2 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2448, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(153, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(306, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(612, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1224, [\chi])\)\(^{\oplus 2}\)