Space of modular forms of level 245, weight 10, and Character 245.s

• Label: 245.10.s
• Level: $245$
• Weight: $10$
• Character orbit: 245.s
• Rep. character: $\chi_{245}(13,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $3000$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 245 = 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	245.s (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 245 \)
Character field:			\(\Q(\zeta_{28})\)
Sturm bound:			\(280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{10}(245, [\chi])\).

	Total	New	Old
Modular forms	3048	3048	0
Cusp forms	3000	3000	0
Eisenstein series	48	48	0

Trace form

3000 * q - 10 * q^2 - 14 * q^3 - 14 * q^5 + 31780 * q^6 + 5932 * q^7 - 3486 * q^8 - 14 * q^10 + 113828 * q^11 - 14 * q^12 - 14 * q^13 - 48982 * q^15 + 33055964 * q^16 + 2113202 * q^17 - 80804 * q^18 - 14 * q^20 - 999760 * q^21 - 8727242 * q^22 + 3671014 * q^23 - 2846826 * q^25 - 5354076 * q^26 - 14 * q^27 - 17370574 * q^28 - 28179500 * q^30 + 781302 * q^32 - 14 * q^33 + 21027896 * q^35 + 674341868 * q^36 - 14442298 * q^37 - 7182 * q^38 - 14 * q^40 + 44666244 * q^41 + 99581998 * q^42 + 78991294 * q^43 + 439944834 * q^45 - 7956948 * q^46 + 26116678 * q^47 + 934425104 * q^50 - 90674660 * q^51 - 14 * q^52 + 481497790 * q^53 - 442435826 * q^55 + 224060268 * q^56 + 497130648 * q^57 - 394619946 * q^58 + 444060670 * q^60 - 1172447164 * q^61 + 7154 * q^62 - 835683236 * q^63 - 540640978 * q^65 - 2666776224 * q^66 - 15405456 * q^67 - 3700277702 * q^70 + 619343628 * q^71 - 457365636 * q^72 - 14 * q^73 - 2612544410 * q^75 - 7340060 * q^76 + 284811050 * q^77 - 728633618 * q^78 + 24742155204 * q^81 + 5488709926 * q^82 + 201714814 * q^83 - 3288454914 * q^85 - 120390332 * q^86 + 4163778094 * q^87 - 3709790028 * q^88 - 9465521870 * q^90 - 2727607860 * q^91 + 5553375818 * q^92 - 7137411980 * q^93 + 29066884 * q^95 + 22671701864 * q^96 + 15418176056 * q^98

Decomposition of \(S_{10}^{\mathrm{new}}(245, [\chi])\) into newform subspaces

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