Space of modular forms of level 1449, weight 4, and Character 1449.cd

• Label: 1449.4.cd
• Level: $1449$
• Weight: $4$
• Character orbit: 1449.cd
• Rep. character: $\chi_{1449}(65,\cdot)$
• Character field: $\Q(\zeta_{66})$
• Dimension: $11440$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 1449 = 3^{2} \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1449.cd (of order \(66\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1449 \)
Character field:			\(\Q(\zeta_{66})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1449, [\chi])\).

	Total	New	Old
Modular forms	11600	11600	0
Cusp forms	11440	11440	0
Eisenstein series	160	160	0

Trace form

11440 * q - 27 * q^2 - 9 * q^3 - 2263 * q^4 - 68 * q^6 - 11 * q^7 - 37 * q^9 - 22 * q^10 - 85 * q^12 - 18 * q^13 - 33 * q^14 - 44 * q^15 + 8985 * q^16 - 9 * q^18 - 22 * q^19 - 66 * q^20 + 638 * q^21 - 394 * q^24 - 27818 * q^25 - 192 * q^26 - 90 * q^27 - 44 * q^28 - 306 * q^29 + 2981 * q^30 + 9 * q^31 - 411 * q^32 - 11 * q^33 - 22 * q^34 + 750 * q^35 + 804 * q^36 - 22 * q^37 + 235 * q^39 - 22 * q^40 - 1290 * q^41 - 22 * q^42 - 22 * q^43 + 264 * q^44 + 216 * q^46 + 336 * q^47 - 1470 * q^48 + 3555 * q^49 - 1560 * q^50 - 11 * q^51 - 466 * q^52 + 5255 * q^54 + 428 * q^55 - 33 * q^56 - 44 * q^57 + 46 * q^58 - 1527 * q^59 - 11 * q^60 + 11 * q^61 + 4158 * q^63 + 69784 * q^64 - 12969 * q^65 - 605 * q^66 + 11 * q^67 - 3807 * q^69 - 34 * q^70 + 2995 * q^72 - 18 * q^73 - 1635 * q^75 - 22 * q^76 - 315 * q^77 + 6018 * q^78 + 11 * q^79 - 4401 * q^81 - 2 * q^82 - 66 * q^83 - 22726 * q^84 - 268 * q^85 - 11295 * q^87 - 2838 * q^88 - 132 * q^90 - 4218 * q^92 - 4448 * q^93 + 2169 * q^94 + 1473 * q^95 + 3521 * q^96 - 22 * q^97 - 9030 * q^98 + 9196 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(1449, [\chi])\) into newform subspaces

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