Space of modular forms of level 1225, weight 2, and Character 1225.bd

• Label: 1225.2.bd
• Level: $1225$
• Weight: $2$
• Character orbit: 1225.bd
• Rep. character: $\chi_{1225}(36,\cdot)$
• Character field: $\Q(\zeta_{35})$
• Dimension: $3312$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 1225 = 5^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1225.bd (of order \(35\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1225 \)
Character field:			\(\Q(\zeta_{35})\)
Sturm bound:			\(280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1225, [\chi])\).

	Total	New	Old
Modular forms	3408	3408	0
Cusp forms	3312	3312	0
Eisenstein series	96	96	0

Trace form

3312 * q - 15 * q^2 - 15 * q^3 + 121 * q^4 - 22 * q^5 - 27 * q^6 - 54 * q^7 - 5 * q^8 + 119 * q^9 - 34 * q^10 - 30 * q^11 - 35 * q^12 - 15 * q^13 - 18 * q^14 - 22 * q^15 + 109 * q^16 - 42 * q^17 - 116 * q^18 + 12 * q^19 - 18 * q^20 - 15 * q^21 - 3 * q^22 + 9 * q^23 - 28 * q^24 - 34 * q^25 - 33 * q^27 - 22 * q^28 - 15 * q^29 - 16 * q^30 + 48 * q^31 - 4 * q^32 - 21 * q^33 + 49 * q^34 - 31 * q^35 + 55 * q^36 - 27 * q^37 + 7 * q^38 - 47 * q^39 - 4 * q^40 - 13 * q^41 + 60 * q^42 + 4 * q^43 - 55 * q^44 - 152 * q^45 - 63 * q^46 - 13 * q^47 - 108 * q^48 - 70 * q^49 - 514 * q^50 - 76 * q^51 + 95 * q^52 + 35 * q^53 - 108 * q^54 + 38 * q^55 - 9 * q^56 + 148 * q^57 + 25 * q^58 - 15 * q^59 - 210 * q^60 - 31 * q^61 + 41 * q^62 - 27 * q^63 + 123 * q^64 - 62 * q^65 - 107 * q^66 - 32 * q^67 + 12 * q^68 - q^69 + 72 * q^70 - 60 * q^71 - 346 * q^72 - 11 * q^73 - 92 * q^74 + 158 * q^75 + 222 * q^76 - 29 * q^77 - 25 * q^78 - 68 * q^79 + 30 * q^80 + 63 * q^81 + 120 * q^82 - 56 * q^83 - 257 * q^84 + 18 * q^85 + 57 * q^86 - 75 * q^87 - 200 * q^88 - 114 * q^89 + 20 * q^90 - q^91 - 25 * q^92 + 180 * q^93 - 71 * q^94 - 9 * q^95 + 23 * q^96 + 168 * q^97 - 296 * q^98 - 164 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1225, [\chi])\) into newform subspaces

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