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

• Label: 1225.2.bp
• Level: $1225$
• Weight: $2$
• Character orbit: 1225.bp
• Rep. character: $\chi_{1225}(13,\cdot)$
• Character field: $\Q(\zeta_{140})$
• Dimension: $6624$
• Sturm bound: $280$

Defining parameters

Level:	\( N \)	\(=\)	\( 1225 = 5^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1225.bp (of order \(140\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1225 \)
Character field:			\(\Q(\zeta_{140})\)
Sturm bound:			\(280\)

Dimensions

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

	Total	New	Old
Modular forms	6816	6816	0
Cusp forms	6624	6624	0
Eisenstein series	192	192	0

Trace form

6624 * q - 40 * q^2 - 56 * q^3 - 50 * q^4 - 56 * q^5 - 42 * q^6 - 42 * q^7 - 44 * q^8 - 50 * q^9 - 56 * q^10 - 30 * q^11 - 56 * q^12 - 56 * q^13 - 60 * q^14 - 8 * q^15 - 294 * q^16 - 112 * q^17 - 76 * q^18 - 56 * q^20 - 36 * q^21 - 68 * q^22 - 24 * q^23 - 44 * q^25 - 112 * q^26 - 56 * q^27 + 14 * q^28 - 50 * q^29 - 100 * q^30 + 28 * q^32 - 56 * q^33 - 70 * q^34 - 16 * q^35 - 254 * q^36 - 52 * q^37 - 28 * q^38 - 50 * q^39 - 56 * q^40 - 42 * q^41 - 138 * q^42 - 124 * q^43 - 50 * q^44 - 504 * q^45 - 30 * q^46 - 98 * q^47 + 736 * q^50 - 80 * q^51 - 56 * q^52 - 90 * q^53 - 70 * q^54 - 14 * q^55 - 20 * q^56 - 108 * q^57 - 144 * q^58 - 70 * q^59 - 40 * q^60 - 42 * q^61 - 84 * q^62 - 104 * q^63 - 110 * q^64 - 52 * q^65 - 42 * q^66 - 104 * q^67 - 70 * q^69 + 22 * q^70 - 30 * q^71 + 166 * q^72 - 56 * q^73 - 140 * q^75 - 130 * q^77 - 212 * q^78 - 120 * q^79 - 274 * q^81 - 196 * q^82 - 504 * q^83 + 580 * q^84 - 56 * q^85 - 30 * q^86 - 84 * q^87 - 182 * q^88 - 420 * q^89 + 280 * q^90 - 36 * q^91 - 28 * q^92 - 120 * q^93 - 70 * q^94 + 6 * q^95 - 42 * q^96 + 524 * q^98

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

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