Space of modular forms of level 105, weight 8, and Character 105.p

• Label: 105.8.p
• Level: $105$
• Weight: $8$
• Character orbit: 105.p
• Rep. character: $\chi_{105}(59,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $216$
• Sturm bound: $128$

Defining parameters

Level:	\( N \)	\(=\)	\( 105 = 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 8 \)
Character orbit:	\([\chi]\)	\(=\)	105.p (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 105 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(128\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{8}(105, [\chi])\).

	Total	New	Old
Modular forms	232	232	0
Cusp forms	216	216	0
Eisenstein series	16	16	0

Trace form

216 * q - 6660 * q^4 + 1326 * q^9 - 630 * q^10 + 1104 * q^15 - 393732 * q^16 - 57456 * q^19 - 66618 * q^21 + 352440 * q^24 - 50520 * q^25 - 275418 * q^30 - 38304 * q^31 + 1517376 * q^36 + 991188 * q^39 + 1289790 * q^40 - 2487258 * q^45 + 2259672 * q^46 - 966012 * q^49 - 2240772 * q^51 + 5890716 * q^54 + 1411854 * q^60 + 3672684 * q^61 + 55842696 * q^64 - 2919492 * q^66 - 13606590 * q^70 - 1635660 * q^75 + 3011856 * q^79 + 12719766 * q^81 - 16119720 * q^84 - 21330384 * q^85 - 44741184 * q^91 - 15191136 * q^94 - 33082272 * q^96 - 76766592 * q^99

Decomposition of \(S_{8}^{\mathrm{new}}(105, [\chi])\) into newform subspaces

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