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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7
7056.2.a.a 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}-4q^{11}+4q^{13}-4q^{19}+11q^{25}+\cdots\)
7056.2.a.b 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-4\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}-3q^{13}+4q^{17}-7q^{19}+4q^{23}+\cdots\)
7056.2.a.c 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}-2q^{17}-2q^{19}+8q^{23}+11q^{25}+\cdots\)
7056.2.a.d 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+3q^{13}+4q^{17}+7q^{19}-4q^{23}+\cdots\)
7056.2.a.e 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-3q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.f 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-3q^{11}+2q^{13}-3q^{17}+q^{19}+\cdots\)
7056.2.a.g 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+3q^{11}-4q^{13}+4q^{19}+4q^{25}+\cdots\)
7056.2.a.h 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+3q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
7056.2.a.i 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-6q^{11}-3q^{13}-4q^{17}+5q^{19}+\cdots\)
7056.2.a.j 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-6q^{11}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
7056.2.a.k 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{11}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
7056.2.a.l 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
7056.2.a.m 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{11}-q^{13}+q^{19}-q^{25}+\cdots\)
7056.2.a.n 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{11}-4q^{13}-6q^{17}-8q^{19}+\cdots\)
7056.2.a.o 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{11}+3q^{13}+8q^{17}-q^{19}+\cdots\)
7056.2.a.p 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
7056.2.a.q 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots\)
7056.2.a.r 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-5q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
7056.2.a.s 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-2q^{13}+3q^{17}+5q^{19}+\cdots\)
7056.2.a.t 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}-4q^{13}-4q^{19}+8q^{23}+\cdots\)
7056.2.a.u 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}+6q^{13}-5q^{17}+q^{19}+\cdots\)
7056.2.a.v 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+5q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
7056.2.a.w 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+5q^{11}+4q^{17}-8q^{19}-4q^{23}+\cdots\)
7056.2.a.x 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-6q^{11}-2q^{13}-4q^{19}-6q^{23}+\cdots\)
7056.2.a.y 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $N(\mathrm{U}(1))$ \(q-7q^{13}+7q^{19}-5q^{25}+7q^{31}+\cdots\)
7056.2.a.z 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $N(\mathrm{U}(1))$ \(q-5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots\)
7056.2.a.ba 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{13}+4q^{17}-4q^{19}+4q^{23}+\cdots\)
7056.2.a.bb 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $N(\mathrm{U}(1))$ \(q-2q^{13}+8q^{19}-5q^{25}-4q^{31}+\cdots\)
7056.2.a.bc 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{13}-4q^{17}+4q^{19}+4q^{23}+\cdots\)
7056.2.a.bd 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{13}+6q^{17}+2q^{19}-5q^{25}+\cdots\)
7056.2.a.be 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $N(\mathrm{U}(1))$ \(q+5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots\)
7056.2.a.bf 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $N(\mathrm{U}(1))$ \(q+7q^{13}-7q^{19}-5q^{25}-7q^{31}+\cdots\)
7056.2.a.bg 7056.a 1.a $1$ $56.342$ \(\Q\) \(\Q(\sqrt{-7}) \) \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $N(\mathrm{U}(1))$ \(q+4q^{11}+8q^{23}-5q^{25}-2q^{29}+\cdots\)
7056.2.a.bh 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
7056.2.a.bi 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}+2q^{13}-3q^{17}-5q^{19}+\cdots\)
7056.2.a.bj 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}-6q^{13}+5q^{17}-q^{19}+\cdots\)
7056.2.a.bk 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+4q^{13}+4q^{19}+8q^{23}+\cdots\)
7056.2.a.bl 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+5q^{11}-4q^{17}+8q^{19}-4q^{23}+\cdots\)
7056.2.a.bm 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+5q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.bn 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-6q^{11}+3q^{13}+4q^{17}-5q^{19}+\cdots\)
7056.2.a.bo 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{11}-2q^{13}-6q^{17}+8q^{19}+\cdots\)
7056.2.a.bp 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{11}+q^{13}-q^{19}-q^{25}+\cdots\)
7056.2.a.bq 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-6q^{13}-2q^{17}+4q^{19}-4q^{23}+\cdots\)
7056.2.a.br 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{13}+6q^{17}-4q^{19}-4q^{23}+\cdots\)
7056.2.a.bs 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{11}-3q^{13}-8q^{17}+q^{19}+\cdots\)
7056.2.a.bt 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{11}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
7056.2.a.bu 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{11}+4q^{13}+6q^{17}+8q^{19}+\cdots\)
7056.2.a.bv 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+6q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots\)
7056.2.a.bw 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
7056.2.a.bx 7056.a 1.a $1$ $56.342$ \(\Q\) None \(0\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-3q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
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