Space of modular forms of level 3751, weight 2, and Character 3751.dp

• Label: 3751.2.dp
• Level: $3751$
• Weight: $2$
• Character orbit: 3751.dp
• Rep. character: $\chi_{3751}(45,\cdot)$
• Character field: $\Q(\zeta_{165})$
• Dimension: $28000$
• Sturm bound: $704$

Defining parameters

Level:	\( N \)	\(=\)	\( 3751 = 11^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3751.dp (of order \(165\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3751 \)
Character field:			\(\Q(\zeta_{165})\)
Sturm bound:			\(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3751, [\chi])\).

	Total	New	Old
Modular forms	28320	28320	0
Cusp forms	28000	28000	0
Eisenstein series	320	320	0

Trace form

28000 * q - 54 * q^2 - 180 * q^3 + 642 * q^4 - 36 * q^5 - 34 * q^6 - 105 * q^7 - 70 * q^8 + 3280 * q^9 - 141 * q^10 - 96 * q^11 - 78 * q^12 - 50 * q^13 + 23 * q^14 + 11 * q^15 + 618 * q^16 - 87 * q^17 + 34 * q^18 - 81 * q^19 - 163 * q^20 - 141 * q^21 - 66 * q^22 - 30 * q^23 - 94 * q^24 + 1348 * q^25 - 58 * q^26 - 258 * q^27 - 105 * q^28 - 70 * q^29 - 190 * q^30 - 226 * q^31 - 252 * q^32 - 115 * q^33 - 23 * q^34 - 72 * q^35 + 1302 * q^36 + 3 * q^37 + 49 * q^38 - 140 * q^39 - 312 * q^40 - 75 * q^41 - 279 * q^42 - 77 * q^43 - 124 * q^44 + 69 * q^45 - 94 * q^46 - 50 * q^47 - 160 * q^48 - 455 * q^49 - 714 * q^50 - 147 * q^51 - 35 * q^52 - 101 * q^53 - 2 * q^54 - 97 * q^55 - 18 * q^56 - 130 * q^57 + 98 * q^58 - 105 * q^59 + 6 * q^60 - 88 * q^61 - 99 * q^62 - 188 * q^63 + 610 * q^64 + 11 * q^65 - 102 * q^66 - 18 * q^67 - 148 * q^68 - 166 * q^69 - 218 * q^70 - 373 * q^71 - 91 * q^72 - 3 * q^73 - 89 * q^74 - 80 * q^75 - 458 * q^76 + 460 * q^77 - 73 * q^78 - 41 * q^79 + 262 * q^80 + 3180 * q^81 - 517 * q^82 - 139 * q^83 - 189 * q^84 - 112 * q^85 - 113 * q^86 - 115 * q^87 - 3 * q^88 + 166 * q^89 - 394 * q^90 - 44 * q^91 - 480 * q^92 - 126 * q^93 - 420 * q^94 - 492 * q^95 - 626 * q^96 - 14 * q^97 + 306 * q^98 - 177 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3751, [\chi])\) into newform subspaces

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