Space of modular forms of level 10944, weight 2, and trivial character

• Label: 10944.2.a
• Level: $10944$
• Weight: $2$
• Character orbit: 10944.a
• Rep. character: $\chi_{10944}(1,\cdot)$
• Character field: $\Q$
• Dimension: $180$
• Newform subspaces: $112$
• Sturm bound: $3840$

Defining parameters

Level:	\( N \)	\(=\)	\( 10944 = 2^{6} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	10944.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 112 \)
Sturm bound:			\(3840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(10944))\).

	Total	New	Old
Modular forms	1968	180	1788
Cusp forms	1873	180	1693
Eisenstein series	95	0	95

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

\(2\)	\(3\)	\(19\)	Fricke	Dim
\(+\)	\(+\)	\(+\)	\(+\)	\(16\)
\(+\)	\(+\)	\(-\)	\(-\)	\(22\)
\(+\)	\(-\)	\(+\)	\(-\)	\(28\)
\(+\)	\(-\)	\(-\)	\(+\)	\(25\)
\(-\)	\(+\)	\(+\)	\(-\)	\(20\)
\(-\)	\(+\)	\(-\)	\(+\)	\(14\)
\(-\)	\(-\)	\(+\)	\(+\)	\(26\)
\(-\)	\(-\)	\(-\)	\(-\)	\(29\)
Plus space			\(+\)	\(81\)
Minus space			\(-\)	\(99\)

Trace form

\( 180 q - 8 q^{17} + 172 q^{25} - 16 q^{29} - 16 q^{37} - 8 q^{41} + 180 q^{49} - 64 q^{53} + 8 q^{73} + 8 q^{77} + 24 q^{85} + 40 q^{89} + 24 q^{97}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(10944))\) 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	19
10944.2.a.a	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-3q^{7}-2q^{11}+q^{13}-3q^{17}+\cdots\)
10944.2.a.b	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-6q^{11}-2q^{13}+4q^{17}-q^{19}+\cdots\)
10944.2.a.c	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+6q^{11}-2q^{13}+4q^{17}+q^{19}+\cdots\)
10944.2.a.d	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+3q^{7}+2q^{11}+q^{13}-3q^{17}+\cdots\)
10944.2.a.e	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-5q^{7}+q^{11}-2q^{13}+q^{17}+\cdots\)
10944.2.a.f	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-3q^{7}-q^{11}+2q^{13}+5q^{17}+\cdots\)
10944.2.a.g	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-q^{7}+5q^{11}+6q^{13}+5q^{17}+\cdots\)
10944.2.a.h	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+q^{7}-5q^{11}+6q^{13}+5q^{17}+\cdots\)
10944.2.a.i	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+3q^{7}+q^{11}+2q^{13}+5q^{17}+\cdots\)
10944.2.a.j	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+5q^{7}-q^{11}-2q^{13}+q^{17}+\cdots\)
10944.2.a.k	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{7}-6q^{11}+4q^{13}-q^{19}+\cdots\)
10944.2.a.l	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
10944.2.a.m	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{11}+4q^{13}+q^{19}+8q^{23}+\cdots\)
10944.2.a.n	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-6q^{13}+6q^{17}-q^{19}+4q^{23}+\cdots\)
10944.2.a.o	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-6q^{13}+6q^{17}+q^{19}-4q^{23}+\cdots\)
10944.2.a.p	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+2q^{11}+4q^{13}-q^{19}-8q^{23}+\cdots\)
10944.2.a.q	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
10944.2.a.r	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}+6q^{11}+4q^{13}+q^{19}+\cdots\)
10944.2.a.s	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}-3q^{11}+4q^{13}-5q^{17}+\cdots\)
10944.2.a.t	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}+5q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.u	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}-5q^{11}-4q^{13}+3q^{17}+\cdots\)
10944.2.a.v	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}+3q^{11}+7q^{17}-q^{19}+\cdots\)
10944.2.a.w	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}+3q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.x	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}-3q^{11}+7q^{17}+q^{19}+\cdots\)
10944.2.a.y	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}-3q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.z	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}+5q^{11}-4q^{13}+3q^{17}+\cdots\)
10944.2.a.ba	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-5q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.bb	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}+3q^{11}+4q^{13}-5q^{17}+\cdots\)
10944.2.a.bc	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}-4q^{11}+2q^{17}+q^{19}-2q^{23}+\cdots\)
10944.2.a.bd	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+4q^{13}-6q^{17}-q^{19}+6q^{23}+\cdots\)
10944.2.a.be	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}-2q^{11}-q^{13}+5q^{17}+q^{19}+\cdots\)
10944.2.a.bf	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}-6q^{11}-5q^{13}-3q^{17}-q^{19}+\cdots\)
10944.2.a.bg	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+2q^{11}+q^{13}-3q^{17}+q^{19}+\cdots\)
10944.2.a.bh	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{11}+2q^{13}-4q^{17}+q^{19}+2q^{23}+\cdots\)
10944.2.a.bi	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{11}+2q^{13}+4q^{17}-q^{19}+2q^{23}+\cdots\)
10944.2.a.bj	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{17}-q^{19}-6q^{23}-5q^{25}+10q^{29}+\cdots\)
10944.2.a.bk	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{17}+q^{19}+6q^{23}-5q^{25}+10q^{29}+\cdots\)
10944.2.a.bl	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{11}+2q^{13}-4q^{17}-q^{19}-2q^{23}+\cdots\)
10944.2.a.bm	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{11}+2q^{13}+4q^{17}+q^{19}-2q^{23}+\cdots\)
10944.2.a.bn	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-2q^{11}+q^{13}-3q^{17}-q^{19}+\cdots\)
10944.2.a.bo	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}+6q^{11}-5q^{13}-3q^{17}+q^{19}+\cdots\)
10944.2.a.bp	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{7}+2q^{11}-q^{13}+5q^{17}-q^{19}+\cdots\)
10944.2.a.bq	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}+4q^{13}-6q^{17}+q^{19}-6q^{23}+\cdots\)
10944.2.a.br	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}+4q^{11}+2q^{17}-q^{19}+2q^{23}+\cdots\)
10944.2.a.bs	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-5q^{11}+2q^{13}+q^{17}+\cdots\)
10944.2.a.bt	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}+3q^{11}+6q^{13}-3q^{17}+\cdots\)
10944.2.a.bu	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}-3q^{11}+6q^{13}-3q^{17}+\cdots\)
10944.2.a.bv	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}+5q^{11}+2q^{13}+q^{17}+\cdots\)
10944.2.a.bw	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}+6q^{11}+2q^{13}-6q^{17}+\cdots\)
10944.2.a.bx	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}+6q^{11}+4q^{13}-q^{19}+\cdots\)
10944.2.a.by	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{11}-2q^{13}+6q^{17}+q^{19}+\cdots\)
10944.2.a.bz	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{11}-2q^{13}-6q^{17}-q^{19}+\cdots\)
10944.2.a.ca	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{11}+4q^{13}-q^{19}+8q^{23}+\cdots\)
10944.2.a.cb	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{13}-2q^{17}-q^{19}-q^{25}+\cdots\)
10944.2.a.cc	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{13}-2q^{17}+q^{19}-q^{25}+\cdots\)
10944.2.a.cd	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{11}-2q^{13}-6q^{17}+q^{19}+\cdots\)
10944.2.a.ce	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{11}+4q^{13}+q^{19}-8q^{23}+\cdots\)
10944.2.a.cf	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{11}-2q^{13}+6q^{17}-q^{19}+\cdots\)
10944.2.a.cg	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{7}-6q^{11}+2q^{13}-6q^{17}+\cdots\)
10944.2.a.ch	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{7}-6q^{11}+4q^{13}+q^{19}+\cdots\)
10944.2.a.ci	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-5q^{7}-5q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.cj	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-3q^{7}-3q^{11}-q^{17}+q^{19}+\cdots\)
10944.2.a.ck	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-q^{7}+3q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.cl	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+q^{7}-3q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.cm	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+3q^{7}+3q^{11}-q^{17}-q^{19}+\cdots\)
10944.2.a.cn	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+5q^{7}+5q^{11}+4q^{13}+3q^{17}+\cdots\)
10944.2.a.co	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-4q^{7}+4q^{11}+4q^{13}-6q^{17}+\cdots\)
10944.2.a.cp	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-6q^{11}-2q^{13}-4q^{17}+q^{19}+\cdots\)
10944.2.a.cq	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+6q^{11}-2q^{13}-4q^{17}-q^{19}+\cdots\)
10944.2.a.cr	$10944$	$2$	10944.a	1.a	$1$	$1$	$1$	$87.388$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+4q^{7}-4q^{11}+4q^{13}-6q^{17}+\cdots\)
10944.2.a.cs	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-1\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.ct	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-1\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.cu	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.cv	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.cw	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.cx	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.cy	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-6\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.cz	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.da	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.db	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.dc	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.dd	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(6\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.de	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{7}) \)	not computed	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$+$	$-$
10944.2.a.df	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.dg	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.dh	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.di	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.dj	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{7}) \)	not computed	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(6\)		$+$	$+$	$-$	$-$
10944.2.a.dk	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(-1\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.dl	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.dm	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.dn	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.do	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(-1\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.dp	$10944$	$2$	10944.a	1.a	$1$	$2$	$2$	$87.388$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(1\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.dq	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.469.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(-5\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.dr	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.469.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-3\)	\(5\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.ds	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.892.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.dt	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.892.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.du	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.dv	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(4\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.dw	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.892.1	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.dx	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.892.1	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(2\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.dy	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(0\)	\(5\)	\(-1\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.dz	$10944$	$2$	10944.a	1.a	$1$	$3$	$3$	$87.388$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(0\)	\(5\)	\(1\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.ea	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.19664.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.eb	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.19664.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
10944.2.a.ec	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.13068.1	not computed	✓	?	✓			$-1$		\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$
10944.2.a.ed	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.13068.1	not computed	✓	?				$-1$		\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$
10944.2.a.ee	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.15317.1	None	✓	?	✓			$-1$		\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
10944.2.a.ef	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.15317.1	None	✓	?	✓			$-1$		\(0\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
10944.2.a.eg	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.19664.1	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
10944.2.a.eh	$10944$	$2$	10944.a	1.a	$1$	$4$	$4$	$87.388$	4.4.19664.1	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(2\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(10944))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(10944)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(19))\)\(^{\oplus 21}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(36))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(38))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(57))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(72))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(76))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(114))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(144))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(152))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(171))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(192))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(228))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(288))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(304))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(342))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(456))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(576))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(608))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(684))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(912))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1216))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1368))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1824))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2736))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3648))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5472))\)\(^{\oplus 2}\)