Properties

Label 7600.2.hn
Level $7600$
Weight $2$
Character orbit 7600.hn
Rep. character $\chi_{7600}(331,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $19136$
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.hn (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7600 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(2400\)

Dimensions

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

Total New Old
Modular forms 19264 19264 0
Cusp forms 19136 19136 0
Eisenstein series 128 128 0

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

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