Properties

Label 462.6.n
Level $462$
Weight $6$
Character orbit 462.n
Rep. character $\chi_{462}(65,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $320$
Sturm bound $576$

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Defining parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 462.n (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 231 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(462, [\chi])\).

Total New Old
Modular forms 976 320 656
Cusp forms 944 320 624
Eisenstein series 32 0 32

Trace form

\( 320 q - 2560 q^{4} + 440 q^{9} + O(q^{10}) \) \( 320 q - 2560 q^{4} + 440 q^{9} + 4400 q^{15} - 40960 q^{16} - 464 q^{22} + 98812 q^{25} + 16104 q^{27} - 6644 q^{31} - 11026 q^{33} - 6112 q^{34} - 14080 q^{36} + 12508 q^{37} - 13728 q^{42} + 85624 q^{45} - 107020 q^{49} - 23100 q^{55} - 7264 q^{58} - 35200 q^{60} + 1310720 q^{64} + 86816 q^{66} + 29608 q^{67} + 301664 q^{69} - 196528 q^{70} - 96052 q^{75} + 70848 q^{78} - 91848 q^{81} - 64000 q^{82} + 3712 q^{88} + 251016 q^{91} - 373220 q^{93} + 150784 q^{97} - 568152 q^{99} + O(q^{100}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(462, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(462, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(462, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)