LMFDB - Space of modular forms of level 24843, weight 2, and trivial character

Defining parameters

Level:	$ N $	$=$	$ 24843 = 3 \cdot 7^{2} \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	24843.a (trivial)
Character field:			$\Q$
Newform subspaces:			$ 134 $
Sturm bound:			$6794$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_0(24843))$.

	Total	New	Old
Modular forms	3508	1059	2449
Cusp forms	3285	1059	2226
Eisenstein series	223	0	223

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

$3$	$7$	$13$	Fricke	Total			Cusp			Eisenstein
$3$	$7$	$13$	Fricke	All	New	Old	All	New	Old	All	New	Old
$+$	$+$	$+$	$+$	$429$	$130$	$299$	$402$	$130$	$272$	$27$	$0$	$27$
$+$	$+$	$-$	$-$	$445$	$128$	$317$	$417$	$128$	$289$	$28$	$0$	$28$
$+$	$-$	$+$	$-$	$443$	$136$	$307$	$415$	$136$	$279$	$28$	$0$	$28$
$+$	$-$	$-$	$+$	$435$	$135$	$300$	$407$	$135$	$272$	$28$	$0$	$28$
$-$	$+$	$+$	$-$	$448$	$137$	$311$	$420$	$137$	$283$	$28$	$0$	$28$
$-$	$+$	$-$	$+$	$432$	$120$	$312$	$404$	$120$	$284$	$28$	$0$	$28$
$-$	$-$	$+$	$+$	$434$	$126$	$308$	$406$	$126$	$280$	$28$	$0$	$28$
$-$	$-$	$-$	$-$	$442$	$147$	$295$	$414$	$147$	$267$	$28$	$0$	$28$
Plus space			$+$	$1730$	$511$	$1219$	$1619$	$511$	$1108$	$111$	$0$	$111$
Minus space			$-$	$1778$	$548$	$1230$	$1666$	$548$	$1118$	$112$	$0$	$112$

Trace form

$ 1059 q - 3 q^{2} + q^{3} + 1059 q^{4} - 6 q^{5} + q^{6} - 15 q^{8} + 1059 q^{9} - 10 q^{10} - 4 q^{11} - q^{12} - 2 q^{15} + 1063 q^{16} - 6 q^{17} - 3 q^{18} + 8 q^{19} - 26 q^{20} - 16 q^{22} - 12 q^{23}+ \cdots - 4 q^{99}+O(q^{100}) $

1059 * q - 3 * q^2 + q^3 + 1059 * q^4 - 6 * q^5 + q^6 - 15 * q^8 + 1059 * q^9 - 10 * q^10 - 4 * q^11 - q^12 - 2 * q^15 + 1063 * q^16 - 6 * q^17 - 3 * q^18 + 8 * q^19 - 26 * q^20 - 16 * q^22 - 12 * q^23 + 9 * q^24 + 1041 * q^25 + q^27 - 10 * q^29 - 18 * q^30 - 12 * q^31 - 43 * q^32 - 8 * q^33 - 18 * q^34 + 1059 * q^36 - 16 * q^37 + 4 * q^38 - 18 * q^40 + 6 * q^41 - 26 * q^43 - 16 * q^44 - 6 * q^45 + 8 * q^46 - 12 * q^47 - 17 * q^48 - 37 * q^50 + 10 * q^51 - 34 * q^53 + q^54 - 12 * q^55 - 2 * q^57 - 42 * q^58 - 8 * q^59 + 14 * q^60 + 34 * q^61 + 4 * q^62 + 1043 * q^64 - 20 * q^66 - 6 * q^67 - 38 * q^68 + 12 * q^69 + 24 * q^71 - 15 * q^72 + 6 * q^73 - 122 * q^74 + 15 * q^75 - 48 * q^76 - 34 * q^79 - 50 * q^80 + 1059 * q^81 + 2 * q^82 - 16 * q^83 - 36 * q^85 + 72 * q^86 + 2 * q^87 - 24 * q^88 - 18 * q^89 - 10 * q^90 + 76 * q^92 - 6 * q^93 + 40 * q^94 + 24 * q^95 + 29 * q^96 - 2 * q^97 - 4 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(\Gamma_0(24843))$ into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
24843.2.a.a	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-2$	$-1$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-2q^{5}+2q^{6}+\cdots$
24843.2.a.b	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-2$	$-1$	$1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots$
24843.2.a.c	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-2$	$-1$	$3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+3q^{5}+2q^{6}+\cdots$
24843.2.a.d	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-2$	$1$	$2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}+2q^{5}-2q^{6}+\cdots$
24843.2.a.e	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}+3q^{8}+\cdots$
24843.2.a.f	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}+3q^{8}+\cdots$
24843.2.a.g	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+3q^{8}+\cdots$
24843.2.a.h	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots$
24843.2.a.i	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{9}-6q^{11}+2q^{12}+\cdots$
24843.2.a.j	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{9}+6q^{11}+2q^{12}+\cdots$
24843.2.a.k	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{5}+q^{9}+2q^{11}+2q^{12}+\cdots$
24843.2.a.l	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-q^{5}+q^{9}+2q^{11}-2q^{12}+\cdots$
24843.2.a.m	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{9}-6q^{11}-2q^{12}+\cdots$
24843.2.a.n	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{9}+6q^{11}-2q^{12}+\cdots$
24843.2.a.o	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-3q^{8}+\cdots$
24843.2.a.p	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-2$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-3q^{8}+\cdots$
24843.2.a.q	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$4$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+4q^{5}-q^{6}-3q^{8}+\cdots$
24843.2.a.r	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-4q^{5}+q^{6}-3q^{8}+\cdots$
24843.2.a.s	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots$
24843.2.a.t	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$1$	$1$	$2$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots$
24843.2.a.u	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$2$	$-1$	$-3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots$
24843.2.a.v	$24843$	$2$	24843.a	1.a	$1$	$1$	$1$	$198.372$	$\Q$	None	✓	?				$-1$		$2$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots$
24843.2.a.w	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$2$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.x	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$-1$	$-2$	$-3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.y	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-2$	$-2$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.z	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ba	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.bb	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.bc	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$2$	$2$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bd	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.be	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.bf	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$2$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.bg	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$1$	$-2$	$3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bh	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$-2$	$0$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bi	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$-2$	$4$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bj	$24843$	$2$	24843.a	1.a	$1$	$2$	$2$	$198.372$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$2$	$-4$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bk	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-3$	$3$	$6$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bl	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-2$	$-3$	$0$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bm	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-2$	$-3$	$3$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.bn	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-2$	$3$	$-3$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.bo	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-2$	$3$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.bp	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.169.1	None	✓	?				$-1$		$-2$	$3$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bq	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-1$	$-3$	$-3$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.br	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$-1$	$-3$	$4$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.bs	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.148.1	None	✓	?				$-1$		$-1$	$-3$	$2$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.bt	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$-3$	$-6$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bu	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$-3$	$-3$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bv	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$-3$	$6$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.bw	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$0$	$3$	$3$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bx	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.473.1	None	✓	?				$-1$		$0$	$3$	$-2$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.by	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.473.1	None	✓	?				$-1$		$0$	$3$	$2$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.bz	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$1$	$-3$	$-4$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ca	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$1$	$-3$	$3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cb	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.148.1	None	✓	?				$-1$		$1$	$-3$	$-2$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.cc	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$-3$	$-3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cd	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$-3$	$-3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ce	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$-3$	$0$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cf	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$3$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cg	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$3$	$3$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ch	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$2$	$3$	$3$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ci	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.316.1	None	✓	?				$-1$		$2$	$3$	$-3$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cj	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	3.3.169.1	None	✓	?				$-1$		$2$	$3$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.ck	$24843$	$2$	24843.a	1.a	$1$	$3$	$3$	$198.372$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$3$	$3$	$-6$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.cl	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	4.4.17428.1	None	✓	?				$-1$		$-1$	$-4$	$-3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cm	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	4.4.64436.1	None	✓	?				$-1$		$-1$	$4$	$3$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.cn	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	$\Q(\sqrt{3}, \sqrt{7})$	None	✓	?				$-1$		$0$	$-4$	$0$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.co	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	$\Q(\sqrt{3}, \sqrt{7})$	None	✓	?				$-1$		$0$	$4$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.cp	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	4.4.69777.1	None	✓	?				$-1$		$1$	$-4$	$3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cq	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	4.4.64436.1	None	✓	?				$-1$		$1$	$4$	$-3$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.cr	$24843$	$2$	24843.a	1.a	$1$	$4$	$4$	$198.372$	4.4.69777.1	None	✓	?				$-1$		$1$	$4$	$-3$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cs	$24843$	$2$	24843.a	1.a	$1$	$5$	$5$	$198.372$	5.5.2196544.1	None	✓	?				$-1$		$-2$	$-5$	$3$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ct	$24843$	$2$	24843.a	1.a	$1$	$5$	$5$	$198.372$	5.5.2196544.1	None	✓	?				$-1$		$-2$	$5$	$-3$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cu	$24843$	$2$	24843.a	1.a	$1$	$5$	$5$	$198.372$	5.5.375116.1	None	✓	?				$-1$		$0$	$-5$	$3$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cv	$24843$	$2$	24843.a	1.a	$1$	$5$	$5$	$198.372$	5.5.375116.1	None	✓	?				$-1$		$0$	$5$	$-3$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cw	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.46053184.1	None	✓	?				$-1$		$-2$	$-6$	$-2$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.cx	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.121819537.1	None	✓	?				$-1$		$-2$	$6$	$-3$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cy	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.46053184.1	None	✓	?				$-1$		$-2$	$6$	$2$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.cz	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.382906624.1	None	✓	?				$-1$		$0$	$-6$	$0$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.da	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.382906624.1	None	✓	?				$-1$		$0$	$6$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.db	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.46053184.1	None	✓	?				$-1$		$2$	$-6$	$2$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.dc	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.121819537.1	None	✓	?				$-1$		$2$	$6$	$3$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.dd	$24843$	$2$	24843.a	1.a	$1$	$6$	$6$	$198.372$	6.6.46053184.1	None	✓	?				$-1$		$2$	$6$	$-2$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.de	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-2$	$-8$	$2$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.df	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-2$	$8$	$6$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.dg	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$0$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dh	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$0$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.di	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$0$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dj	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	8.8.$\cdots$.1	None	✓	?				$-1$		$0$	$-8$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.dk	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$8$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dl	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$8$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.dm	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$8$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dn	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	8.8.$\cdots$.1	None	✓	?				$-1$		$0$	$8$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.do	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$2$	$-8$	$-2$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.dp	$24843$	$2$	24843.a	1.a	$1$	$8$	$8$	$198.372$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$2$	$8$	$-6$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.dq	$24843$	$2$	24843.a	1.a	$1$	$9$	$9$	$198.372$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$-1$	$9$	$-9$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dr	$24843$	$2$	24843.a	1.a	$1$	$9$	$9$	$198.372$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$1$	$9$	$9$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ds	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$-4$	$-10$	$-6$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.dt	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$-4$	$10$	$6$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.du	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$-10$	$0$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.dv	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$-10$	$0$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.dw	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$10$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.dx	$24843$	$2$	24843.a	1.a	$1$	$10$	$10$	$198.372$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$10$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.dy	$24843$	$2$	24843.a	1.a	$1$	$12$	$12$	$198.372$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$-12$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.dz	$24843$	$2$	24843.a	1.a	$1$	$12$	$12$	$198.372$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$-12$	$0$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.ea	$24843$	$2$	24843.a	1.a	$1$	$12$	$12$	$198.372$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$12$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.eb	$24843$	$2$	24843.a	1.a	$1$	$12$	$12$	$198.372$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$12$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.ec	$24843$	$2$	24843.a	1.a	$1$	$15$	$15$	$198.372$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	?				$-1$		$-2$	$-15$	$-9$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.ed	$24843$	$2$	24843.a	1.a	$1$	$15$	$15$	$198.372$	$\mathbb{Q}[x]/(x^{15} - \cdots)$	None	✓	?				$-1$		$2$	$-15$	$9$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ee	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$-16$	$0$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.ef	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$-16$	$0$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.eg	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$-16$	$0$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.eh	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$16$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ei	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$16$	$0$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.ej	$24843$	$2$	24843.a	1.a	$1$	$16$	$16$	$198.372$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?				$-1$		$0$	$16$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ek	$24843$	$2$	24843.a	1.a	$1$	$18$	$18$	$198.372$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?				$-1$		$-1$	$-18$	$-12$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.el	$24843$	$2$	24843.a	1.a	$1$	$18$	$18$	$198.372$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?				$-1$		$-1$	$18$	$12$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.em	$24843$	$2$	24843.a	1.a	$1$	$18$	$18$	$198.372$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?				$-1$		$1$	$-18$	$12$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.en	$24843$	$2$	24843.a	1.a	$1$	$18$	$18$	$198.372$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?				$-1$		$1$	$18$	$-12$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.eo	$24843$	$2$	24843.a	1.a	$1$	$20$	$20$	$198.372$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None	✓	?				$-1$		$0$	$-20$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ep	$24843$	$2$	24843.a	1.a	$1$	$20$	$20$	$198.372$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None	✓	?				$-1$		$0$	$20$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.eq	$24843$	$2$	24843.a	1.a	$1$	$21$	$21$	$198.372$		None	✓	?	✓			$-1$		$-3$	$-21$	$-1$	$0$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.er	$24843$	$2$	24843.a	1.a	$1$	$21$	$21$	$198.372$		None	✓	?				$-1$		$-3$	$21$	$1$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.es	$24843$	$2$	24843.a	1.a	$1$	$21$	$21$	$198.372$		None	✓	?	✓			$-1$		$3$	$-21$	$1$	$0$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.et	$24843$	$2$	24843.a	1.a	$1$	$21$	$21$	$198.372$		None	✓	?				$-1$		$3$	$21$	$-1$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
24843.2.a.eu	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?				$-1$		$-7$	$-24$	$0$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.ev	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?	✓			$-1$		$-7$	$24$	$0$	$0$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.ew	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?				$-1$		$0$	$-24$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ex	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?				$-1$		$0$	$24$	$0$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.ey	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?				$-1$		$7$	$-24$	$0$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.ez	$24843$	$2$	24843.a	1.a	$1$	$24$	$24$	$198.372$		None	✓	?	✓			$-1$		$7$	$24$	$0$	$0$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.fa	$24843$	$2$	24843.a	1.a	$1$	$36$	$36$	$198.372$		None	✓	?	✓			$-1$		$-2$	$-36$	$24$	$0$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
24843.2.a.fb	$24843$	$2$	24843.a	1.a	$1$	$36$	$36$	$198.372$		None	✓	?	✓			$-1$		$-2$	$36$	$-24$	$0$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
24843.2.a.fc	$24843$	$2$	24843.a	1.a	$1$	$36$	$36$	$198.372$		None	✓	?	✓			$-1$		$2$	$-36$	$-24$	$0$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
24843.2.a.fd	$24843$	$2$	24843.a	1.a	$1$	$36$	$36$	$198.372$		None	✓	?	✓			$-1$		$2$	$36$	$24$	$0$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

Decomposition of $S_{2}^{\mathrm{old}}(\Gamma_0(24843))$ into lower level spaces

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 24843 = 3 \cdot 7^{2} \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	24843.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 134 \)
Sturm bound:			\(6794\)

\(3\)	\(7\)	\(13\)	Fricke	Total			Cusp			Eisenstein
\(3\)	\(7\)	\(13\)	Fricke	All	New	Old	All	New	Old	All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(429\)	\(130\)	\(299\)	\(402\)	\(130\)	\(272\)	\(27\)	\(0\)	\(27\)
\(+\)	\(+\)	\(-\)	\(-\)	\(445\)	\(128\)	\(317\)	\(417\)	\(128\)	\(289\)	\(28\)	\(0\)	\(28\)
\(+\)	\(-\)	\(+\)	\(-\)	\(443\)	\(136\)	\(307\)	\(415\)	\(136\)	\(279\)	\(28\)	\(0\)	\(28\)
\(+\)	\(-\)	\(-\)	\(+\)	\(435\)	\(135\)	\(300\)	\(407\)	\(135\)	\(272\)	\(28\)	\(0\)	\(28\)
\(-\)	\(+\)	\(+\)	\(-\)	\(448\)	\(137\)	\(311\)	\(420\)	\(137\)	\(283\)	\(28\)	\(0\)	\(28\)
\(-\)	\(+\)	\(-\)	\(+\)	\(432\)	\(120\)	\(312\)	\(404\)	\(120\)	\(284\)	\(28\)	\(0\)	\(28\)
\(-\)	\(-\)	\(+\)	\(+\)	\(434\)	\(126\)	\(308\)	\(406\)	\(126\)	\(280\)	\(28\)	\(0\)	\(28\)
\(-\)	\(-\)	\(-\)	\(-\)	\(442\)	\(147\)	\(295\)	\(414\)	\(147\)	\(267\)	\(28\)	\(0\)	\(28\)
Plus space			\(+\)	\(1730\)	\(511\)	\(1219\)	\(1619\)	\(511\)	\(1108\)	\(111\)	\(0\)	\(111\)
Minus space			\(-\)	\(1778\)	\(548\)	\(1230\)	\(1666\)	\(548\)	\(1118\)	\(112\)	\(0\)	\(112\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

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Defining parameters

Dimensions

Trace form

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(24843))\) into newform subspaces

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(24843))\) into lower level spaces

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	24843.2.a
Level	$24843$
Weight	$2$
Character orbit	24843.a
Rep. character	$\chi_{24843}(1,\cdot)$
Character field	$\Q$
Dimension	$1059$
Newform subspaces	$134$
Sturm bound	$6794$