Properties

Label 7600.2.iz
Level $7600$
Weight $2$
Character orbit 7600.iz
Rep. character $\chi_{7600}(33,\cdot)$
Character field $\Q(\zeta_{180})$
Dimension $14304$
Sturm bound $2400$

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Defining parameters

Level: \( N \) \(=\) \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7600.iz (of order \(180\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 475 \)
Character field: \(\Q(\zeta_{180})\)
Sturm bound: \(2400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).

Total New Old
Modular forms 58176 14496 43680
Cusp forms 57024 14304 42720
Eisenstein series 1152 192 960

Decomposition of \(S_{2}^{\mathrm{new}}(7600, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(950, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1900, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3800, [\chi])\)\(^{\oplus 2}\)