Space of modular forms of level 325, weight 6, and Character 325.q

• Label: 325.6.q
• Level: $325$
• Weight: $6$
• Character orbit: 325.q
• Rep. character: $\chi_{325}(116,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $696$
• Sturm bound: $210$

Defining parameters

Level:	\( N \)	\(=\)	\( 325 = 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	325.q (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 325 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(210\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(325, [\chi])\).

	Total	New	Old
Modular forms	712	712	0
Cusp forms	696	696	0
Eisenstein series	16	16	0

Trace form

696 * q - 6 * q^3 + 2778 * q^4 - 14100 * q^9 - 692 * q^10 + 1630 * q^12 - 657 * q^13 - 1382 * q^14 - 40850 * q^16 + 822 * q^17 - 2056 * q^22 + 13304 * q^23 + 5256 * q^25 + 7394 * q^26 + 6018 * q^27 - 21640 * q^29 - 17600 * q^30 + 11284 * q^35 + 235942 * q^36 - 32870 * q^38 + 10421 * q^39 - 50354 * q^40 - 7394 * q^42 + 436 * q^43 + 117364 * q^48 - 1632696 * q^49 - 121140 * q^51 - 90260 * q^52 + 36238 * q^53 - 22088 * q^55 + 164264 * q^56 - 163078 * q^61 - 77828 * q^62 + 598282 * q^64 + 259783 * q^65 - 16514 * q^66 - 332812 * q^68 - 2208 * q^69 + 313104 * q^74 + 59736 * q^75 + 326544 * q^77 - 184293 * q^78 - 110662 * q^79 - 1680080 * q^81 + 859688 * q^82 - 601676 * q^87 + 206290 * q^88 - 224376 * q^90 - 41314 * q^91 + 117300 * q^92 + 42410 * q^94 + 765724 * q^95

Decomposition of \(S_{6}^{\mathrm{new}}(325, [\chi])\) into newform subspaces

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