Space of modular forms of level 605, weight 4, and Character 605.o

• Label: 605.4.o
• Level: $605$
• Weight: $4$
• Character orbit: 605.o
• Rep. character: $\chi_{605}(34,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $1960$
• Sturm bound: $264$

Defining parameters

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	605.o (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 605 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(605, [\chi])\).

	Total	New	Old
Modular forms	2000	2000	0
Cusp forms	1960	1960	0
Eisenstein series	40	40	0

Trace form

1960 * q + 758 * q^4 - 17 * q^5 + 150 * q^6 - 17288 * q^9 - 205 * q^10 + 242 * q^11 - 58 * q^14 + 342 * q^15 - 3234 * q^16 - 190 * q^19 + 41 * q^20 + 748 * q^21 - 1252 * q^24 + 187 * q^25 - 150 * q^26 - 574 * q^29 + 1236 * q^30 - 786 * q^31 + 94 * q^34 - 263 * q^35 - 7716 * q^36 - 372 * q^39 + 1622 * q^40 + 386 * q^41 + 726 * q^44 - 1263 * q^45 - 898 * q^46 + 8170 * q^49 - 3779 * q^50 + 5560 * q^51 - 9874 * q^54 + 3223 * q^55 - 1630 * q^56 - 422 * q^59 - 2634 * q^60 + 538 * q^61 + 14110 * q^64 - 2403 * q^65 + 44 * q^66 + 2468 * q^69 - 3223 * q^70 + 3974 * q^71 - 5130 * q^74 - 1526 * q^75 + 10048 * q^76 + 586 * q^79 - 1042 * q^80 + 148328 * q^81 - 4588 * q^84 + 849 * q^85 + 2342 * q^86 - 12958 * q^89 + 83 * q^90 - 914 * q^91 + 9196 * q^94 - 2995 * q^95 + 9780 * q^96 - 27918 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(605, [\chi])\) into newform subspaces

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