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

• Label: 1449.4.cc
• Level: $1449$
• Weight: $4$
• Character orbit: 1449.cc
• Rep. character: $\chi_{1449}(40,\cdot)$
• 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.cc (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 - 18 * q^2 - 27 * q^3 - 4562 * q^4 - 33 * q^5 + 48 * q^6 - 11 * q^7 - 40 * q^8 - 65 * q^9 - 66 * q^10 + 11 * q^11 + 21 * q^12 - 11 * q^14 - 44 * q^15 - 17906 * q^16 - 66 * q^17 - 97 * q^18 - 66 * q^19 + 638 * q^21 + 486 * q^24 + 13909 * q^25 + 234 * q^26 - 162 * q^27 - 44 * q^28 + 66 * q^29 + 1485 * q^30 + 366 * q^32 - 33 * q^33 + 214 * q^35 - 1964 * q^36 - 22 * q^37 - 33 * q^38 - 1459 * q^39 - 33 * q^40 - 204 * q^41 - 22 * q^42 - 22 * q^43 - 110 * q^44 - 256 * q^46 + 330 * q^48 + 1773 * q^49 - 988 * q^50 - 11 * q^51 + 741 * q^52 - 22 * q^53 + 381 * q^54 - 5819 * q^56 - 44 * q^57 + 41 * q^58 - 11 * q^60 - 2112 * q^63 - 69416 * q^64 - 8646 * q^65 - 924 * q^66 - 22 * q^67 + 843 * q^69 - 1156 * q^70 - 392 * q^71 + 11459 * q^72 - 54 * q^73 + 11 * q^74 - 1803 * q^75 + 3059 * q^77 + 7778 * q^78 - 22 * q^79 - 66 * q^80 + 4643 * q^81 - 6 * q^82 + 11330 * q^84 - 268 * q^85 + 10483 * q^86 + 993 * q^87 + 1419 * q^88 - 66 * q^89 + 264 * q^90 - 874 * q^92 + 780 * q^93 + 5862 * q^95 + 4389 * q^96 + 9598 * 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.