Space of modular forms of level 23 and weight 2

• Label: 23.2
• Level: 23
• Weight: 2
• Dimension: 12
• Nonzero newspaces: 2
• Newform subspaces: 2
• Sturm bound: 88
• Trace bound: 1

Defining parameters

Level:	\( N \)	=	\( 23 \)
Weight:	\( k \)	=	\( 2 \)
Nonzero newspaces:			\( 2 \)
Newform subspaces:			\( 2 \)
Sturm bound:			\(88\)
Trace bound:			\(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(23))\).

	Total	New	Old
Modular forms	33	33	0
Cusp forms	12	12	0
Eisenstein series	21	21	0

Trace form

12 * q - 8 * q^2 - 7 * q^3 - 4 * q^4 - 5 * q^5 + q^6 - 3 * q^7 + 4 * q^8 + 2 * q^9 + 7 * q^10 + q^11 + 17 * q^12 + 3 * q^13 + 13 * q^14 + 2 * q^15 - 2 * q^16 - 4 * q^17 - 16 * q^18 - 2 * q^19 - 13 * q^20 - 12 * q^21 - 8 * q^22 - 10 * q^23 - 28 * q^24 - 2 * q^25 + 9 * q^26 - 4 * q^27 + q^28 + 8 * q^29 + 17 * q^30 + 10 * q^31 + 30 * q^32 + 26 * q^33 + 21 * q^34 + 15 * q^35 + 25 * q^36 - 17 * q^37 - 6 * q^38 + q^39 - 9 * q^40 + 9 * q^41 - 25 * q^42 - 11 * q^43 - 26 * q^44 - 10 * q^45 - 30 * q^46 - 18 * q^47 + 3 * q^48 - 20 * q^49 + 5 * q^50 + 17 * q^51 - 23 * q^52 + 21 * q^53 - q^54 - 5 * q^55 - 12 * q^56 - 8 * q^57 - 20 * q^58 - 17 * q^59 + 25 * q^60 + 7 * q^61 + 19 * q^62 + 38 * q^63 + 28 * q^64 - 4 * q^65 + 12 * q^66 + 35 * q^67 - 28 * q^68 + 26 * q^69 + 34 * q^70 + 6 * q^71 + 19 * q^72 + 41 * q^73 + 4 * q^74 - 8 * q^75 - 14 * q^76 - 14 * q^77 - 19 * q^78 - 19 * q^79 - 34 * q^80 - 66 * q^81 + 5 * q^82 - 4 * q^83 - 7 * q^84 - 35 * q^85 - 11 * q^86 - 23 * q^87 + 37 * q^88 + 13 * q^89 - 8 * q^90 + 2 * q^91 + 51 * q^92 - 26 * q^93 + 12 * q^94 + 10 * q^95 - 56 * q^96 - 12 * q^97 + 28 * q^98 - 42 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label	\(\chi\)	Newforms	Dimension	\(\chi\) degree
23.2.a	\(\chi_{23}(1, \cdot)\)	23.2.a.a	2	1
23.2.c	\(\chi_{23}(2, \cdot)\)	23.2.c.a	10	10