Properties

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 $3840$

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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.

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

Trace form

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

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(10944))\) into newform subspaces

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

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

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