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Results (35 matches)

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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 7 37
3626.2.a.a 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{13}) \) None \(-2\) \(-3\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1-\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
3626.2.a.b 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(-2\) \(-2\) \(3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
3626.2.a.c 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(-2\) \(-1\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{8}+\cdots\)
3626.2.a.d 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-2\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
3626.2.a.e 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+2\beta q^{5}-\beta q^{6}+\cdots\)
3626.2.a.f 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}-\beta q^{6}+\cdots\)
3626.2.a.g 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+5q^{9}+\cdots\)
3626.2.a.h 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-2\beta )q^{3}+q^{4}+(2-\beta )q^{5}+\cdots\)
3626.2.a.i 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(-2\) \(1\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots\)
3626.2.a.j 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(-2\) \(2\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-2+\beta )q^{5}-q^{6}+\cdots\)
3626.2.a.k 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(2\) \(-3\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(1-2\beta )q^{5}+\cdots\)
3626.2.a.l 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
3626.2.a.m 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(2\) \(-1\) \(6\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta q^{3}+q^{4}+3q^{5}-\beta q^{6}+q^{8}+\cdots\)
3626.2.a.n 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{9}+q^{16}+2\beta q^{17}+\cdots\)
3626.2.a.o 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+2\beta q^{5}+\beta q^{6}+\cdots\)
3626.2.a.p 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}-q^{9}+\cdots\)
3626.2.a.q 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
3626.2.a.r 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(-6\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}-3q^{5}+\beta q^{6}+q^{8}+\cdots\)
3626.2.a.s 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots\)
3626.2.a.t 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(2\) \(3\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(-1+2\beta )q^{5}+\cdots\)
3626.2.a.u 3626.a 1.a $2$ $28.954$ \(\Q(\sqrt{5}) \) None \(2\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(2-\beta )q^{5}+\cdots\)
3626.2.a.v 3626.a 1.a $3$ $28.954$ 3.3.733.1 None \(-3\) \(-1\) \(-3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
3626.2.a.w 3626.a 1.a $3$ $28.954$ 3.3.229.1 None \(-3\) \(1\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(1+\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots\)
3626.2.a.x 3626.a 1.a $4$ $28.954$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(-4\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{3}q^{3}+q^{4}+(\beta _{1}+2\beta _{3})q^{5}+\cdots\)
3626.2.a.y 3626.a 1.a $4$ $28.954$ 4.4.9792.1 None \(4\) \(-4\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{2})q^{3}+q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
3626.2.a.z 3626.a 1.a $4$ $28.954$ 4.4.2624.1 None \(4\) \(0\) \(-6\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
3626.2.a.ba 3626.a 1.a $4$ $28.954$ 4.4.2624.1 None \(4\) \(0\) \(6\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(2+\cdots)q^{5}+\cdots\)
3626.2.a.bb 3626.a 1.a $4$ $28.954$ 4.4.9792.1 None \(4\) \(4\) \(2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{2})q^{3}+q^{4}-\beta _{3}q^{5}+(1+\cdots)q^{6}+\cdots\)
3626.2.a.bc 3626.a 1.a $5$ $28.954$ 5.5.2174276.1 None \(5\) \(-1\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{2})q^{5}+\beta _{1}q^{6}+\cdots\)
3626.2.a.bd 3626.a 1.a $6$ $28.954$ 6.6.24635632.1 None \(-6\) \(-3\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(\beta _{3}+\beta _{5})q^{5}+\cdots\)
3626.2.a.be 3626.a 1.a $6$ $28.954$ 6.6.1229312.1 None \(-6\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)
3626.2.a.bf 3626.a 1.a $6$ $28.954$ 6.6.24635632.1 None \(-6\) \(3\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta _{2})q^{3}+q^{4}+(-\beta _{3}-\beta _{5})q^{5}+\cdots\)
3626.2.a.bg 3626.a 1.a $8$ $28.954$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{4}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{4}q^{6}+\cdots\)
3626.2.a.bh 3626.a 1.a $10$ $28.954$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{8}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{8}q^{6}+\cdots\)
3626.2.a.bi 3626.a 1.a $14$ $28.954$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{10}q^{5}-\beta _{1}q^{6}+\cdots\)
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