Space of modular forms of level 207, weight 7, and Character 207.n

• Label: 207.7.n
• Level: $207$
• Weight: $7$
• Character orbit: 207.n
• Rep. character: $\chi_{207}(2,\cdot)$
• Character field: $\Q(\zeta_{66})$
• Dimension: $2840$
• Sturm bound: $168$

Defining parameters

Level:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 7 \)
Character orbit:	\([\chi]\)	\(=\)	207.n (of order \(66\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 207 \)
Character field:			\(\Q(\zeta_{66})\)
Sturm bound:			\(168\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{7}(207, [\chi])\).

	Total	New	Old
Modular forms	2920	2920	0
Cusp forms	2840	2840	0
Eisenstein series	80	80	0

Trace form

2840 * q - 27 * q^2 - 50 * q^3 - 4489 * q^4 + 405 * q^5 - 593 * q^6 - 9 * q^7 + 894 * q^9 + 220 * q^10 - 27 * q^11 + 7038 * q^12 - 9 * q^13 - 9531 * q^14 - 29200 * q^15 + 139127 * q^16 + 25509 * q^18 - 36 * q^19 + 55653 * q^20 + 72492 * q^21 + 236 * q^22 - 53598 * q^23 + 293876 * q^24 - 429415 * q^25 + 73174 * q^27 - 16164 * q^28 + 161325 * q^29 + 260868 * q^30 + 12231 * q^31 - 50523 * q^32 + 265888 * q^33 + 39859 * q^34 + 332807 * q^36 - 62532 * q^37 + 548457 * q^38 + 106100 * q^39 + 361939 * q^40 - 574155 * q^41 + 63316 * q^42 - 9 * q^43 - 237566 * q^45 - 112556 * q^46 - 165732 * q^47 + 670276 * q^48 + 3118669 * q^49 - 1096599 * q^50 + 255242 * q^51 - 87666 * q^52 - 322296 * q^54 + 445792 * q^55 + 3400191 * q^56 + 1519266 * q^57 + 221512 * q^58 + 566973 * q^59 + 620830 * q^60 - 34281 * q^61 - 1941596 * q^63 + 7574306 * q^64 - 7897851 * q^65 - 2838439 * q^66 + 254583 * q^67 - 2716806 * q^68 + 1622133 * q^69 + 693650 * q^70 + 5128328 * q^72 - 36 * q^73 + 10290705 * q^74 + 5240422 * q^75 - 847533 * q^76 + 2127141 * q^77 - 1812529 * q^78 - 9 * q^79 + 2405766 * q^81 + 965470 * q^82 - 7744707 * q^83 + 11982882 * q^84 - 31259 * q^85 - 27 * q^86 + 6406552 * q^87 - 450697 * q^88 - 5998052 * q^90 - 470676 * q^91 + 973755 * q^92 + 45510 * q^93 - 483282 * q^94 + 2574483 * q^95 - 16149294 * q^96 + 176247 * q^97 + 16124864 * q^99

Decomposition of \(S_{7}^{\mathrm{new}}(207, [\chi])\) into newform subspaces

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