Space of modular forms of level 3381, weight 2, and Character 3381.bz

• Label: 3381.2.bz
• Level: $3381$
• Weight: $2$
• Character orbit: 3381.bz
• Rep. character: $\chi_{3381}(41,\cdot)$
• Character field: $\Q(\zeta_{154})$
• Dimension: $26640$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 3381 = 3 \cdot 7^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3381.bz (of order \(154\) and degree \(60\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3381 \)
Character field:			\(\Q(\zeta_{154})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3381, [\chi])\).

	Total	New	Old
Modular forms	27120	27120	0
Cusp forms	26640	26640	0
Eisenstein series	480	480	0

Trace form

26640 * q - 63 * q^3 - 530 * q^4 - 91 * q^6 - 108 * q^7 - 65 * q^9 - 126 * q^10 - 63 * q^12 - 126 * q^13 - 57 * q^15 + 358 * q^16 - 116 * q^18 - 13 * q^21 - 184 * q^22 - 140 * q^24 + 338 * q^25 - 252 * q^27 - 100 * q^28 - 116 * q^30 - 63 * q^33 - 14 * q^34 + 19 * q^36 - 106 * q^37 - 57 * q^39 - 14 * q^40 + 16 * q^42 - 122 * q^43 - 140 * q^45 - 172 * q^46 - 256 * q^49 - 69 * q^51 - 126 * q^52 - 63 * q^54 - 238 * q^55 - 55 * q^57 + 138 * q^58 - 89 * q^60 - 126 * q^61 - 19 * q^63 - 522 * q^64 + 77 * q^66 - 184 * q^67 + 14 * q^69 - 48 * q^70 - 181 * q^72 - 126 * q^73 - 63 * q^75 - 238 * q^76 - 475 * q^78 - 288 * q^79 + 71 * q^81 + 14 * q^82 + 24 * q^84 - 162 * q^85 - 63 * q^87 + 86 * q^88 - 133 * q^90 - 32 * q^91 - 216 * q^93 - 70 * q^94 - 273 * q^96 + 124 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3381, [\chi])\) into newform subspaces

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