Space of modular forms of level 1296, weight 2, and Character 1296.bv

• Label: 1296.2.bv
• Level: $1296$
• Weight: $2$
• Character orbit: 1296.bv
• Rep. character: $\chi_{1296}(13,\cdot)$
• Character field: $\Q(\zeta_{108})$
• Dimension: $7704$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 1296 = 2^{4} \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1296.bv (of order \(108\) and degree \(36\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1296 \)
Character field:			\(\Q(\zeta_{108})\)
Sturm bound:			\(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1296, [\chi])\).

	Total	New	Old
Modular forms	7848	7848	0
Cusp forms	7704	7704	0
Eisenstein series	144	144	0

Trace form

7704 * q - 36 * q^2 - 36 * q^3 - 36 * q^4 - 36 * q^5 - 36 * q^6 - 36 * q^8 - 36 * q^10 - 36 * q^11 - 36 * q^12 - 36 * q^13 - 36 * q^14 - 72 * q^15 - 36 * q^16 - 72 * q^17 - 36 * q^18 - 36 * q^19 - 36 * q^20 - 36 * q^21 - 36 * q^22 - 36 * q^24 - 18 * q^26 - 36 * q^27 - 18 * q^28 - 36 * q^29 - 36 * q^30 - 72 * q^31 - 36 * q^32 - 72 * q^33 - 36 * q^34 - 36 * q^35 - 36 * q^36 - 36 * q^37 - 36 * q^38 - 36 * q^40 + 54 * q^42 - 36 * q^43 - 36 * q^44 - 36 * q^45 - 36 * q^46 - 72 * q^47 - 36 * q^48 - 72 * q^49 + 198 * q^50 - 36 * q^51 - 36 * q^52 - 18 * q^53 - 288 * q^54 - 36 * q^56 - 36 * q^58 - 36 * q^59 - 36 * q^60 - 36 * q^61 - 234 * q^62 - 72 * q^63 - 36 * q^64 - 72 * q^65 + 108 * q^66 - 36 * q^67 - 36 * q^68 - 36 * q^69 - 36 * q^70 - 36 * q^72 - 36 * q^74 - 36 * q^75 - 36 * q^76 - 36 * q^77 - 36 * q^78 - 72 * q^79 - 72 * q^80 - 72 * q^81 - 72 * q^82 - 36 * q^83 - 36 * q^84 - 36 * q^85 - 36 * q^86 - 36 * q^88 - 36 * q^90 - 36 * q^91 - 36 * q^92 - 36 * q^93 - 36 * q^94 - 72 * q^95 - 36 * q^96 - 72 * q^97 - 36 * q^98 - 36 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1296, [\chi])\) into newform subspaces

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