Properties

Label 2600.1.l
Level $2600$
Weight $1$
Character orbit 2600.l
Rep. character $\chi_{2600}(2599,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $420$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2600 = 2^{3} \cdot 5^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2600.l (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 260 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(420\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2600, [\chi])\).

Total New Old
Modular forms 40 0 40
Cusp forms 16 0 16
Eisenstein series 24 0 24

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0

Decomposition of \(S_{1}^{\mathrm{old}}(2600, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2600, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(260, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(1300, [\chi])\)\(^{\oplus 2}\)