Properties

Label 3696.2.dj
Level $3696$
Weight $2$
Character orbit 3696.dj
Rep. character $\chi_{3696}(1007,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $768$
Sturm bound $1536$

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Defining parameters

Level: \( N \) \(=\) \( 3696 = 2^{4} \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3696.dj (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 924 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3696, [\chi])\).

Total New Old
Modular forms 3168 768 2400
Cusp forms 2976 768 2208
Eisenstein series 192 0 192

Trace form

\( 768 q + O(q^{10}) \) \( 768 q - 144 q^{25} + 24 q^{49} + 120 q^{85} - 96 q^{93} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3696, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3696, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3696, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(924, [\chi])\)\(^{\oplus 3}\)