Properties

Label 1862.2.bm
Level $1862$
Weight $2$
Character orbit 1862.bm
Rep. character $\chi_{1862}(239,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $1152$
Sturm bound $560$

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Defining parameters

Level: \( N \) \(=\) \( 1862 = 2 \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1862.bm (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 931 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(560\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1862, [\chi])\).

Total New Old
Modular forms 3408 1152 2256
Cusp forms 3312 1152 2160
Eisenstein series 96 0 96

Trace form

\( 1152 q + 4 q^{3} + 96 q^{4} + 4 q^{5} + 4 q^{7} + 104 q^{9} + 4 q^{10} + 28 q^{11} - 8 q^{12} - 4 q^{13} + 2 q^{14} - 12 q^{15} + 96 q^{16} - 26 q^{17} - 28 q^{19} + 20 q^{20} + 6 q^{21} - 4 q^{22} + 4 q^{23}+ \cdots + 172 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(1862, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1862, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1862, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(931, [\chi])\)\(^{\oplus 2}\)