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Properties

Label 2151.4.l
Level $2151$
Weight $4$
Character orbit 2151.l
Rep. character $\chi_{2151}(215,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1440$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 2151.l (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 717 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2151, [\chi])\).

Total New Old
Modular forms 4344 1440 2904
Cusp forms 4296 1440 2856
Eisenstein series 48 0 48

Trace form

\( 1440 q + 960 q^{4} + O(q^{10}) \) \( 1440 q + 960 q^{4} + 144 q^{10} - 3396 q^{16} - 2184 q^{22} + 5640 q^{25} - 240 q^{31} - 720 q^{34} - 4296 q^{40} + 2856 q^{43} + 14160 q^{49} + 2232 q^{55} + 7740 q^{58} + 1296 q^{61} + 19848 q^{64} + 528 q^{67} + 84 q^{70} - 6216 q^{79} + 4284 q^{82} - 4128 q^{85} + 1560 q^{88} + 2952 q^{91} - 3864 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(2151, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2151, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2151, [\chi]) \cong \)