Space of modular forms of level 1975, weight 2, and Character 1975.bo

• Label: 1975.2.bo
• Level: $1975$
• Weight: $2$
• Character orbit: 1975.bo
• Rep. character: $\chi_{1975}(11,\cdot)$
• Character field: $\Q(\zeta_{195})$
• Dimension: $19008$
• Sturm bound: $400$

Defining parameters

Level:	\( N \)	\(=\)	\( 1975 = 5^{2} \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1975.bo (of order \(195\) and degree \(96\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1975 \)
Character field:			\(\Q(\zeta_{195})\)
Sturm bound:			\(400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1975, [\chi])\).

	Total	New	Old
Modular forms	19392	19392	0
Cusp forms	19008	19008	0
Eisenstein series	384	384	0

Trace form

19008 * q - 75 * q^2 - 75 * q^3 - 271 * q^4 - 100 * q^5 - 63 * q^6 - 204 * q^7 - 58 * q^8 - 269 * q^9 - 96 * q^10 - 75 * q^11 - 30 * q^12 - 75 * q^13 - 94 * q^14 - 104 * q^15 - 259 * q^16 - 90 * q^17 - 160 * q^18 - 75 * q^19 - 75 * q^20 - 108 * q^21 - 104 * q^22 - 38 * q^23 + 472 * q^24 - 180 * q^25 - 182 * q^26 + 45 * q^27 - 85 * q^28 - 57 * q^29 - 116 * q^30 + 9 * q^31 - 190 * q^32 - 6 * q^33 - 71 * q^34 - 176 * q^35 - 247 * q^36 - 81 * q^37 - 108 * q^38 - 35 * q^39 - 251 * q^40 - 116 * q^41 - 131 * q^42 - 188 * q^43 - 63 * q^44 - 40 * q^45 - 110 * q^46 - 63 * q^47 + 34 * q^48 + 532 * q^49 - 136 * q^50 - 206 * q^51 - 204 * q^52 - 93 * q^53 + 33 * q^54 - 3 * q^55 - 267 * q^56 - 192 * q^57 - 26 * q^58 + 111 * q^59 + 190 * q^60 - 114 * q^61 - 28 * q^62 - 201 * q^63 + 258 * q^64 - 50 * q^65 - 21 * q^66 + 14 * q^67 - 440 * q^68 - 206 * q^69 - 1000 * q^70 - 86 * q^71 + 106 * q^72 + 105 * q^73 - 490 * q^74 - 4 * q^75 - 178 * q^76 - 271 * q^77 + 108 * q^78 - 124 * q^79 - 144 * q^80 - 335 * q^81 - 224 * q^82 - 406 * q^83 - 164 * q^84 + 9 * q^85 - 49 * q^86 + 184 * q^87 - 100 * q^88 - 90 * q^89 - 112 * q^90 - 174 * q^91 - 199 * q^92 - 96 * q^93 + 394 * q^94 - 308 * q^95 + 458 * q^96 - 200 * q^97 + 46 * q^98 - 190 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1975, [\chi])\) into newform subspaces

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