Properties

Label 2151.2.l
Level $2151$
Weight $2$
Character orbit 2151.l
Rep. character $\chi_{2151}(215,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $480$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2151.l (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 717 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2151, [\chi])\).

Total New Old
Modular forms 1464 480 984
Cusp forms 1416 480 936
Eisenstein series 48 0 48

Trace form

\( 480 q + 80 q^{4} + O(q^{10}) \) \( 480 q + 80 q^{4} - 16 q^{10} - 84 q^{16} + 72 q^{22} + 120 q^{25} + 8 q^{31} + 80 q^{34} + 24 q^{40} - 140 q^{43} + 20 q^{49} - 4 q^{55} - 28 q^{58} + 16 q^{61} - 88 q^{64} + 8 q^{67} + 84 q^{70} + 28 q^{79} + 28 q^{82} + 8 q^{85} + 120 q^{88} + 24 q^{91} + 56 q^{94} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2151, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2151, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2151, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(717, [\chi])\)\(^{\oplus 2}\)