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Results (1-50 of 58 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 29
6525.2.a.a 6525.a 1.a $1$ $52.102$ \(\Q\) None \(-2\) \(0\) \(0\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+2q^{7}-3q^{11}+4q^{13}+\cdots\)
6525.2.a.b 6525.a 1.a $1$ $52.102$ \(\Q\) None \(-2\) \(0\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+2q^{7}+3q^{11}-4q^{13}+\cdots\)
6525.2.a.c 6525.a 1.a $1$ $52.102$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-2q^{7}+3q^{8}+4q^{13}+\cdots\)
6525.2.a.d 6525.a 1.a $1$ $52.102$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+2q^{7}+3q^{8}+6q^{11}+\cdots\)
6525.2.a.e 6525.a 1.a $1$ $52.102$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+4q^{7}+3q^{8}-6q^{13}+\cdots\)
6525.2.a.f 6525.a 1.a $1$ $52.102$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-2q^{7}-3q^{11}-2q^{13}+4q^{16}+\cdots\)
6525.2.a.g 6525.a 1.a $1$ $52.102$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{7}+2q^{11}+3q^{13}+4q^{16}+\cdots\)
6525.2.a.h 6525.a 1.a $1$ $52.102$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{7}+2q^{11}-3q^{13}+4q^{16}+\cdots\)
6525.2.a.i 6525.a 1.a $1$ $52.102$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+2q^{7}-q^{11}-6q^{13}+4q^{16}+\cdots\)
6525.2.a.j 6525.a 1.a $1$ $52.102$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-4q^{7}-3q^{8}+4q^{11}+\cdots\)
6525.2.a.k 6525.a 1.a $1$ $52.102$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+2q^{7}-3q^{8}-4q^{13}+\cdots\)
6525.2.a.l 6525.a 1.a $1$ $52.102$ \(\Q\) None \(2\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-2q^{7}+3q^{11}+4q^{13}+\cdots\)
6525.2.a.m 6525.a 1.a $1$ $52.102$ \(\Q\) None \(2\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+2q^{7}+3q^{11}+4q^{13}+\cdots\)
6525.2.a.n 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+\beta q^{7}+3q^{8}+(2-\beta )q^{11}+\cdots\)
6525.2.a.o 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{7}+\cdots\)
6525.2.a.p 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(2+2\beta )q^{7}+\cdots\)
6525.2.a.q 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(1-2\beta )q^{7}+\cdots\)
6525.2.a.r 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{7}+\cdots\)
6525.2.a.s 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+3q^{7}+(-1+\cdots)q^{8}+\cdots\)
6525.2.a.t 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{21}) \) None \(-1\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(3+\beta )q^{4}-q^{7}+(-5-2\beta )q^{8}+\cdots\)
6525.2.a.u 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-2\beta q^{7}-5q^{11}+2\beta q^{13}+\cdots\)
6525.2.a.v 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+2\beta q^{7}+5q^{11}-2\beta q^{13}+\cdots\)
6525.2.a.w 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{7}-2\beta q^{8}+2q^{11}-q^{13}+\cdots\)
6525.2.a.x 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{7}-2\beta q^{8}+2q^{11}+q^{13}+\cdots\)
6525.2.a.y 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{4}-2q^{7}-\beta q^{8}+2q^{11}+\cdots\)
6525.2.a.z 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1-2\beta )q^{7}+\cdots\)
6525.2.a.ba 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{7}+\cdots\)
6525.2.a.bb 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{7}+\cdots\)
6525.2.a.bc 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(2+\beta )q^{4}+(-2+2\beta )q^{7}+\cdots\)
6525.2.a.bd 6525.a 1.a $2$ $52.102$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-\beta q^{7}-3q^{8}+(2-\beta )q^{11}+\cdots\)
6525.2.a.be 6525.a 1.a $3$ $52.102$ 3.3.148.1 None \(1\) \(0\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
6525.2.a.bf 6525.a 1.a $3$ $52.102$ 3.3.469.1 None \(1\) \(0\) \(0\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
6525.2.a.bg 6525.a 1.a $3$ $52.102$ 3.3.229.1 None \(2\) \(0\) \(0\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(2+\beta _{1})q^{4}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
6525.2.a.bh 6525.a 1.a $3$ $52.102$ 3.3.148.1 None \(3\) \(0\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{7}+\cdots\)
6525.2.a.bi 6525.a 1.a $4$ $52.102$ 4.4.2225.1 None \(-3\) \(0\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6525.2.a.bj 6525.a 1.a $4$ $52.102$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}-\beta _{3})q^{7}+\beta _{3}q^{8}+\cdots\)
6525.2.a.bk 6525.a 1.a $4$ $52.102$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+q^{4}-2\beta _{1}q^{7}-\beta _{2}q^{8}+(-3+\cdots)q^{11}+\cdots\)
6525.2.a.bl 6525.a 1.a $5$ $52.102$ 5.5.246832.1 None \(-3\) \(0\) \(0\) \(8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6525.2.a.bm 6525.a 1.a $5$ $52.102$ 5.5.240881.1 None \(-2\) \(0\) \(0\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
6525.2.a.bn 6525.a 1.a $5$ $52.102$ 5.5.331312.1 None \(-2\) \(0\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(1+\beta _{1}-\beta _{3}-\beta _{4})q^{4}+(1+\cdots)q^{7}+\cdots\)
6525.2.a.bo 6525.a 1.a $5$ $52.102$ 5.5.294577.1 None \(0\) \(0\) \(0\) \(-10\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2}-\beta _{3})q^{4}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
6525.2.a.bp 6525.a 1.a $5$ $52.102$ 5.5.294577.1 None \(0\) \(0\) \(0\) \(10\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2}-\beta _{3})q^{4}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
6525.2.a.bq 6525.a 1.a $5$ $52.102$ 5.5.240881.1 None \(2\) \(0\) \(0\) \(-6\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
6525.2.a.br 6525.a 1.a $5$ $52.102$ 5.5.331312.1 None \(2\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{2}+(1+\beta _{1}-\beta _{3}-\beta _{4})q^{4}+(-1+\cdots)q^{7}+\cdots\)
6525.2.a.bs 6525.a 1.a $5$ $52.102$ 5.5.246832.1 None \(3\) \(0\) \(0\) \(-8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{7}+\cdots\)
6525.2.a.bt 6525.a 1.a $6$ $52.102$ 6.6.337383424.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{4}-\beta _{5})q^{7}+\cdots\)
6525.2.a.bu 6525.a 1.a $7$ $52.102$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-2\) \(0\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2}+\beta _{6})q^{7}+\cdots\)
6525.2.a.bv 6525.a 1.a $7$ $52.102$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\) \(0\) \(0\) \(-10\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1+\beta _{5})q^{7}+\cdots\)
6525.2.a.bw 6525.a 1.a $7$ $52.102$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(1\) \(0\) \(0\) \(-10\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1+\beta _{5})q^{7}+\cdots\)
6525.2.a.bx 6525.a 1.a $7$ $52.102$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(2\) \(0\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
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