Space of modular forms of level 605, weight 6, and Character 605.o

• Label: 605.6.o
• Level: $605$
• Weight: $6$
• Character orbit: 605.o
• Rep. character: $\chi_{605}(34,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $3280$
• Sturm bound: $396$

Defining parameters

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	605.o (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(396\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(605, [\chi])\).

	Total	New	Old
Modular forms	3320	3320	0
Cusp forms	3280	3280	0
Eisenstein series	40	40	0

Trace form

3280 * q + 5198 * q^4 + 13 * q^5 + 414 * q^6 - 262700 * q^9 + 2727 * q^10 - 1780 * q^11 + 734 * q^14 + 2178 * q^15 - 77474 * q^16 + 938 * q^19 + 3977 * q^20 - 152 * q^21 + 51596 * q^24 - 1835 * q^25 + 12834 * q^26 + 8654 * q^29 - 5292 * q^30 - 8466 * q^31 + 1614 * q^34 + 14371 * q^35 - 437772 * q^36 + 17772 * q^39 - 8890 * q^40 - 3226 * q^41 - 10914 * q^44 + 19197 * q^45 + 23750 * q^46 + 790862 * q^49 - 131771 * q^50 + 700 * q^51 + 198734 * q^54 - 26842 * q^55 + 233282 * q^56 + 5614 * q^59 + 109758 * q^60 - 116450 * q^61 + 1150526 * q^64 - 27708 * q^65 - 26356 * q^66 + 91124 * q^69 - 51615 * q^70 - 534442 * q^71 + 424758 * q^74 + 80476 * q^75 + 841688 * q^76 - 452206 * q^79 + 908390 * q^80 + 20499008 * q^81 + 613604 * q^84 + 71363 * q^85 - 147370 * q^86 + 178292 * q^89 - 1428301 * q^90 + 277472 * q^91 - 1226476 * q^94 + 315665 * q^95 - 444828 * q^96 - 745314 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(605, [\chi])\) into newform subspaces

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