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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
143.1.d.a 143.d 143.d $2$ $0.071$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
143.1.d.b 143.d 143.d $2$ $0.071$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(1\) \(q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
1001.1.y.a 1001.y 1001.y $2$ $0.500$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(1\) \(0\) \(1\) \(q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-q^{6}+\zeta_{6}q^{7}-q^{8}+\cdots\)
1001.1.y.b 1001.y 1001.y $2$ $0.500$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(1\) \(1\) \(0\) \(-1\) \(q-\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}+q^{6}-\zeta_{6}q^{7}+q^{8}+\cdots\)
1001.1.y.c 1001.y 1001.y $8$ $0.500$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(1\) \(q+(\zeta_{30}^{4}+\zeta_{30}^{6})q^{2}+(\zeta_{30}^{6}+\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)
1001.1.y.d 1001.y 1001.y $8$ $0.500$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(-1\) \(q+(-\zeta_{30}^{4}-\zeta_{30}^{6})q^{2}+(\zeta_{30}^{6}+\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)
1144.1.h.e 1144.h 1144.h $2$ $0.571$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-22}) \), \(\Q(\sqrt{-143}) \) \(\Q(\sqrt{26}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{8}+q^{9}-iq^{11}+\cdots\)
1144.1.h.f 1144.h 1144.h $8$ $0.571$ \(\Q(\zeta_{20})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{20}q^{2}+(-\zeta_{20}^{4}-\zeta_{20}^{6})q^{3}+\zeta_{20}^{2}q^{4}+\cdots\)
1287.1.g.a 1287.g 143.d $2$ $0.642$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(0\) \(0\) \(1\) \(q-\beta q^{2}+\beta q^{4}+(1-\beta )q^{7}-q^{8}+q^{11}+\cdots\)
1287.1.g.b 1287.g 143.d $2$ $0.642$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(1\) \(0\) \(0\) \(-1\) \(q+\beta q^{2}+\beta q^{4}+(-1+\beta )q^{7}+q^{8}+\cdots\)
1287.1.ba.a 1287.ba 1287.aa $2$ $0.642$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{6}-\zeta_{6}^{2}q^{7}+\cdots\)
1287.1.ba.b 1287.ba 1287.aa $2$ $0.642$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(-2\) \(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{6}+\zeta_{6}^{2}q^{7}+\cdots\)
1287.1.ba.c 1287.ba 1287.aa $8$ $0.642$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(1\) \(0\) \(2\) \(q+(\zeta_{30}^{4}+\zeta_{30}^{6})q^{2}-\zeta_{30}^{11}q^{3}+(\zeta_{30}^{8}+\cdots)q^{4}+\cdots\)
1287.1.ba.d 1287.ba 1287.aa $8$ $0.642$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(1\) \(1\) \(0\) \(-2\) \(q+(-\zeta_{30}^{4}-\zeta_{30}^{6})q^{2}-\zeta_{30}^{11}q^{3}+\cdots\)
1573.1.l.a 1573.l 143.l $4$ $0.785$ \(\Q(\zeta_{10})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(-3\) \(-2\) \(0\) \(-3\) \(q+(-1+\zeta_{10}^{3})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{3}+\cdots\)
1573.1.l.b 1573.l 143.l $4$ $0.785$ \(\Q(\zeta_{10})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(-2\) \(3\) \(0\) \(-2\) \(q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}+(1+\zeta_{10}^{4})q^{3}+\cdots\)
1573.1.l.c 1573.l 143.l $4$ $0.785$ \(\Q(\zeta_{10})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(2\) \(3\) \(0\) \(2\) \(q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+(1+\zeta_{10}^{4})q^{3}+\cdots\)
1573.1.l.d 1573.l 143.l $4$ $0.785$ \(\Q(\zeta_{10})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(3\) \(-2\) \(0\) \(3\) \(q+(1-\zeta_{10}^{3})q^{2}+(-\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots\)
1716.1.m.a 1716.m 1716.m $1$ $0.856$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-429}) \) \(\Q(\sqrt{3}) \) \(-1\) \(-1\) \(0\) \(0\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
1716.1.m.b 1716.m 1716.m $1$ $0.856$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-429}) \) \(\Q(\sqrt{3}) \) \(-1\) \(1\) \(0\) \(0\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1716.1.m.c 1716.m 1716.m $1$ $0.856$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-429}) \) \(\Q(\sqrt{3}) \) \(1\) \(-1\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
1716.1.m.d 1716.m 1716.m $1$ $0.856$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-429}) \) \(\Q(\sqrt{3}) \) \(1\) \(1\) \(0\) \(0\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
1716.1.m.e 1716.m 1716.m $4$ $0.856$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q+\zeta_{10}^{2}q^{2}-\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+\cdots\)
1716.1.m.f 1716.m 1716.m $4$ $0.856$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(1\) \(0\) \(0\) \(q-\zeta_{10}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}-\zeta_{10}^{2}q^{6}+\cdots\)
1716.1.m.i 1716.m 1716.m $4$ $0.856$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(0\) \(q-\zeta_{10}^{2}q^{2}-\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+\cdots\)
1716.1.m.j 1716.m 1716.m $4$ $0.856$ \(\Q(\zeta_{10})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(1\) \(1\) \(0\) \(0\) \(q+\zeta_{10}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}+\zeta_{10}^{2}q^{6}+\cdots\)
1859.1.c.c 1859.c 11.b $4$ $0.928$ \(\Q(i, \sqrt{5})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(\beta _{1}-\beta _{3})q^{6}+\cdots\)
1859.1.i.a 1859.i 143.i $4$ $0.928$ \(\Q(\sqrt{-3}, \sqrt{5})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(1\) \(0\) \(-1\) \(q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
1859.1.i.b 1859.i 143.i $4$ $0.928$ \(\Q(\sqrt{-3}, \sqrt{5})\) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(1\) \(1\) \(0\) \(1\) \(q+(\beta _{1}+\beta _{2}-\beta _{3})q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
1859.1.k.c 1859.k 143.k $8$ $0.928$ 8.0.12960000.1 $D_{5}$ \(\Q(\sqrt{-143}) \) None \(0\) \(2\) \(0\) \(0\) \(q+(-\beta _{3}-\beta _{6}-\beta _{7})q^{2}+(1-\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots\)
2288.1.m.a 2288.m 143.d $2$ $1.142$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\beta q^{3}+(-1+\beta )q^{7}+\beta q^{9}+q^{11}+\cdots\)
2288.1.m.b 2288.m 143.d $2$ $1.142$ \(\Q(\sqrt{5}) \) $D_{5}$ \(\Q(\sqrt{-143}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\beta q^{3}+(1-\beta )q^{7}+\beta q^{9}-q^{11}+q^{13}+\cdots\)
2288.1.z.a 2288.z 2288.z $4$ $1.142$ \(\Q(\zeta_{8})\) $D_{4}$ \(\Q(\sqrt{-143}) \) None \(0\) \(4\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}+(1+\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
2288.1.z.b 2288.z 2288.z $16$ $1.142$ \(\Q(\zeta_{40})\) $D_{20}$ \(\Q(\sqrt{-143}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{40}^{11}q^{2}+(-\zeta_{40}^{14}+\zeta_{40}^{16}+\cdots)q^{3}+\cdots\)
2717.1.x.a 2717.x 2717.x $2$ $1.356$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(1\) \(0\) \(2\) \(q-\zeta_{6}q^{2}+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{6}+q^{7}-q^{8}+\cdots\)
2717.1.x.b 2717.x 2717.x $2$ $1.356$ \(\Q(\sqrt{-3}) \) $D_{3}$ \(\Q(\sqrt{-143}) \) None \(1\) \(1\) \(0\) \(-2\) \(q+\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{6}-q^{7}+q^{8}+\cdots\)
2717.1.x.c 2717.x 2717.x $8$ $1.356$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(2\) \(q+(\zeta_{30}^{8}+\zeta_{30}^{12})q^{2}+(\zeta_{30}^{2}-\zeta_{30}^{3}+\cdots)q^{3}+\cdots\)
2717.1.x.d 2717.x 2717.x $8$ $1.356$ \(\Q(\zeta_{15})\) $D_{15}$ \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(-2\) \(q+(-\zeta_{30}^{6}-\zeta_{30}^{14})q^{2}+(-\zeta_{30}^{9}+\cdots)q^{3}+\cdots\)
2717.1.db.a 2717.db 2717.cb $6$ $1.356$ \(\Q(\zeta_{18})\) $D_{9}$ \(\Q(\sqrt{-143}) \) None \(-3\) \(-3\) \(0\) \(0\) \(q+(-\zeta_{18}^{3}+\zeta_{18}^{8})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{6}+\cdots)q^{3}+\cdots\)
2717.1.db.b 2717.db 2717.cb $6$ $1.356$ \(\Q(\zeta_{18})\) $D_{9}$ \(\Q(\sqrt{-143}) \) None \(3\) \(-3\) \(0\) \(0\) \(q+(\zeta_{18}^{3}-\zeta_{18}^{8})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{6}+\cdots)q^{3}+\cdots\)
2717.1.db.c 2717.db 2717.cb $24$ $1.356$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-143}) \) None \(-3\) \(3\) \(0\) \(0\) \(q+(\zeta_{90}^{11}+\zeta_{90}^{39})q^{2}+(\zeta_{90}^{6}+\zeta_{90}^{14}+\cdots)q^{3}+\cdots\)
2717.1.db.d 2717.db 2717.cb $24$ $1.356$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-143}) \) None \(3\) \(3\) \(0\) \(0\) \(q+(-\zeta_{90}^{11}-\zeta_{90}^{39})q^{2}+(\zeta_{90}^{6}+\zeta_{90}^{14}+\cdots)q^{3}+\cdots\)
3003.1.b.a 3003.b 3003.b $2$ $1.499$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-231}) \) \(\Q(\sqrt{273}) \) \(0\) \(-2\) \(0\) \(0\) \(q-iq^{2}-q^{3}-3q^{4}+2iq^{6}-iq^{7}+\cdots\)
3003.1.b.b 3003.b 3003.b $2$ $1.499$ \(\Q(\sqrt{-1}) \) $D_{2}$ \(\Q(\sqrt{-143}) \), \(\Q(\sqrt{-231}) \) \(\Q(\sqrt{273}) \) \(0\) \(2\) \(0\) \(0\) \(q-iq^{2}+q^{3}-3q^{4}-2iq^{6}+iq^{7}+\cdots\)
3003.1.b.e 3003.b 3003.b $8$ $1.499$ \(\Q(\zeta_{20})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{20}+\zeta_{20}^{9})q^{2}+\zeta_{20}^{4}q^{3}+(-1+\cdots)q^{4}+\cdots\)
3003.1.b.f 3003.b 3003.b $8$ $1.499$ \(\Q(\zeta_{20})\) $D_{10}$ \(\Q(\sqrt{-143}) \) None \(0\) \(2\) \(0\) \(0\) \(q+(\zeta_{20}+\zeta_{20}^{9})q^{2}-\zeta_{20}^{4}q^{3}+(-1+\cdots)q^{4}+\cdots\)
3003.1.cv.a 3003.cv 3003.bv $4$ $1.499$ \(\Q(\zeta_{12})\) $D_{6}$ \(\Q(\sqrt{-143}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{2}-q^{3}+\zeta_{12}^{5}q^{6}+\zeta_{12}q^{7}+\cdots\)
3003.1.cv.b 3003.cv 3003.bv $4$ $1.499$ \(\Q(\zeta_{12})\) $D_{6}$ \(\Q(\sqrt{-143}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{2}q^{3}-\zeta_{12}q^{6}-\zeta_{12}q^{7}+\cdots\)
3003.1.cv.c 3003.cv 3003.bv $16$ $1.499$ \(\Q(\zeta_{60})\) $D_{30}$ \(\Q(\sqrt{-143}) \) None \(0\) \(2\) \(0\) \(0\) \(q+(-\zeta_{60}^{21}-\zeta_{60}^{29})q^{2}+\zeta_{60}^{4}q^{3}+\cdots\)
3003.1.cv.d 3003.cv 3003.bv $16$ $1.499$ \(\Q(\zeta_{60})\) $D_{30}$ \(\Q(\sqrt{-143}) \) None \(0\) \(4\) \(0\) \(0\) \(q+(\zeta_{60}^{3}+\zeta_{60}^{7})q^{2}+\zeta_{60}^{18}q^{3}+(\zeta_{60}^{6}+\cdots)q^{4}+\cdots\)
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