Space of modular forms of level 950, weight 4, and Character 950.j

• Label: 950.4.j
• Level: $950$
• Weight: $4$
• Character orbit: 950.j
• Rep. character: $\chi_{950}(49,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $180$
• Sturm bound: $600$

Defining parameters

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	950.j (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 95 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(950, [\chi])\).

	Total	New	Old
Modular forms	924	180	744
Cusp forms	876	180	696
Eisenstein series	48	0	48

Trace form

180 * q + 360 * q^4 + 810 * q^9 + 56 * q^11 - 104 * q^14 - 1440 * q^16 + 124 * q^19 + 24 * q^21 - 608 * q^26 - 316 * q^29 - 144 * q^31 - 272 * q^34 - 3240 * q^36 - 1120 * q^39 - 220 * q^41 + 112 * q^44 + 1776 * q^46 - 7180 * q^49 - 362 * q^51 - 1008 * q^54 - 832 * q^56 - 2458 * q^59 - 800 * q^61 - 11520 * q^64 + 1524 * q^66 + 4736 * q^69 + 272 * q^71 + 1480 * q^74 - 448 * q^76 - 1260 * q^79 - 10522 * q^81 + 192 * q^84 + 1200 * q^86 + 1876 * q^89 + 3856 * q^91 - 3040 * q^94 - 90 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(950, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(950, [\chi])\) into lower level spaces

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