Space of modular forms of level 23 and weight 19

• Label: 23.19
• Level: 23
• Weight: 19
• Dimension: 385
• Nonzero newspaces: 2
• Newform subspaces: 4
• Sturm bound: 836
• Trace bound: 1

Defining parameters

Level:	$N$	=	$23$
Weight:	$k$	=	$19$
Nonzero newspaces:			$2$
Newform subspaces:			$4$
Sturm bound:			$836$
Trace bound:			$1$

Dimensions

The following table gives the dimensions of various subspaces of $M_{19}(\Gamma_1(23))$.

	Total	New	Old
Modular forms	407	407	0
Cusp forms	385	385	0
Eisenstein series	22	22	0

Trace form

385 * q - 11 * q^2 - 11 * q^3 - 11 * q^4 - 11 * q^5 - 11 * q^6 - 11 * q^7 - 11 * q^8 - 11 * q^9 - 11 * q^10 - 11 * q^11 - 11 * q^12 - 11 * q^13 - 11 * q^14 + 253448904621 * q^15 + 244859535349 * q^16 - 296340696091 * q^17 + 1295617765365 * q^18 + 34950057109 * q^19 - 4104516534283 * q^20 + 5306405877949 * q^21 - 7913631520443 * q^23 + 19270371901418 * q^24 + 12606229779253 * q^25 - 21033541703691 * q^26 - 20997579686171 * q^27 + 105657239863285 * q^28 - 6541999781251 * q^29 - 190975720579083 * q^30 + 83672683954189 * q^31 - 180361965076491 * q^32 + 261034241184453 * q^33 - 129972082436273 * q^34 - 364099226562511 * q^35 + 603126531762964 * q^36 + 428874756612181 * q^37 - 1776255039233686 * q^38 + 660838707811645 * q^39 + 3407519671874989 * q^40 - 634216393005811 * q^41 - 6199000632151481 * q^42 + 1284249744062989 * q^43 + 7033574851458386 * q^44 - 11646585269672771 * q^46 - 3522887998322990 * q^47 + 12458821923919085 * q^48 + 14035963270346413 * q^49 - 4993438720703136 * q^50 - 15827415309093971 * q^51 - 14461678566782381 * q^52 + 10327001802201029 * q^53 + 12987191024741373 * q^54 - 14661855368904755 * q^55 - 112789689088256488 * q^56 + 79316406647596261 * q^57 + 62208472164707374 * q^58 - 117859066247350879 * q^59 + 56789760614471819 * q^60 + 64312558011025621 * q^61 + 83888698739788789 * q^62 - 56271156969207411 * q^63 - 201906206426529803 * q^64 - 45304722356970395 * q^65 + 206405045580983832 * q^66 + 65297330513632789 * q^67 - 207859220028632931 * q^69 - 356233436672864278 * q^70 + 24270067030568029 * q^71 + 756779185849811410 * q^72 + 127844244594538549 * q^73 + 102815849039067692 * q^74 + 26566279111019989 * q^75 - 930398829208773122 * q^76 - 443460150706078891 * q^77 + 2393428849655474499 * q^78 + 960132297145477093 * q^79 - 2513912900105850122 * q^80 - 3427352266319555299 * q^81 + 340169380251389359 * q^82 + 2134251156441149669 * q^83 + 1875963344476894475 * q^84 - 2007915736107785735 * q^85 - 709961756623859245 * q^86 - 2814685211205824891 * q^87 + 746914657235259645 * q^88 + 2323216414828777369 * q^89 + 6947866797842083322 * q^90 - 3937280132812101086 * q^92 - 6843946090804105822 * q^93 - 2005788328569711400 * q^94 + 651951644569950461 * q^95 + 21994075423362001696 * q^96 + 2956262222729055625 * q^97 - 7668098686336153747 * q^98 - 9593810550169008251 * q^99

Decomposition of $S_{19}^{\mathrm{new}}(\Gamma_1(23))$

We only show spaces with odd 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
23.19.b	$\chi_{23}(22, \cdot)$	23.19.b.a	1	1
		23.19.b.b	2
		23.19.b.c	32
23.19.d	$\chi_{23}(5, \cdot)$	23.19.d.a	350	10