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Properties

Label 950.6.u
Level $950$
Weight $6$
Character orbit 950.u
Rep. character $\chi_{950}(99,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $900$
Sturm bound $900$

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Defining parameters

Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 950.u (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 95 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(950, [\chi])\).

Total New Old
Modular forms 4572 900 3672
Cusp forms 4428 900 3528
Eisenstein series 144 0 144

Trace form

\( 900 q + O(q^{10}) \) \( 900 q + 948 q^{11} - 5280 q^{14} - 7320 q^{19} - 1080 q^{21} + 2640 q^{26} - 17016 q^{29} - 134880 q^{39} + 14460 q^{41} - 960 q^{44} - 91200 q^{46} + 1041510 q^{49} - 227730 q^{51} - 118224 q^{54} + 150528 q^{56} + 76194 q^{59} - 38244 q^{61} + 1843200 q^{64} - 274824 q^{66} + 228528 q^{69} + 691200 q^{71} - 222480 q^{74} - 75840 q^{76} - 211008 q^{79} + 229104 q^{81} + 462528 q^{84} + 240960 q^{86} - 278592 q^{89} + 8220 q^{91} - 1397856 q^{94} - 1153152 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{6}^{\mathrm{new}}(950, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(950, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(950, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(190, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)