Learn more

Refine search


Results (1-50 of 79 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
16.4.e.a 16.e 16.e $10$ $0.944$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(-2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{4}q^{2}-\beta _{5}q^{3}+(1-\beta _{2}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
156.2.k.e 156.k 52.f $10$ $1.246$ 10.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{2}+\beta _{8}q^{3}+(\beta _{5}+\beta _{7})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
156.2.k.f 156.k 52.f $10$ $1.246$ 10.0.\(\cdots\).1 None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{3}q^{2}+\beta _{6}q^{3}+(-\beta _{7}-\beta _{8})q^{4}+\cdots\)
328.2.j.d 328.j 41.c $10$ $2.619$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{9}q^{3}+\beta _{8}q^{5}+(-1-\beta _{2}+\beta _{9})q^{7}+\cdots\)
106.3.c.b 106.c 53.c $10$ $2.888$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1-\beta _{2})q^{2}-\beta _{3}q^{3}-2\beta _{2}q^{4}+\beta _{8}q^{5}+\cdots\)
370.2.g.d 370.g 185.f $10$ $2.954$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(-2\) \(2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{6}q^{2}+(-\beta _{2}-\beta _{3}-\beta _{8})q^{3}-q^{4}+\cdots\)
370.2.h.d 370.h 185.k $10$ $2.954$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(10\) \(2\) \(2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
116.3.f.a 116.f 29.c $10$ $3.161$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{3}+(-\beta _{3}+\beta _{5})q^{5}+\beta _{6}q^{7}+\cdots\)
122.3.d.b 122.d 61.d $10$ $3.324$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(10\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+\beta _{5})q^{2}-\beta _{1}q^{3}+2\beta _{5}q^{4}+\beta _{4}q^{5}+\cdots\)
442.2.h.l 442.h 17.c $10$ $3.529$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-8\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{6}q^{2}-\beta _{1}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
468.2.n.j 468.n 52.f $10$ $3.737$ 10.0.\(\cdots\).1 None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{3}q^{2}+(-\beta _{5}-\beta _{7})q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
468.2.n.k 468.n 52.f $10$ $3.737$ 10.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{2}+(\beta _{7}+\beta _{8})q^{4}+(-\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
64.4.e.a 64.e 16.e $10$ $3.776$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{3}+\beta _{3}q^{5}+(3\beta _{1}-\beta _{4})q^{7}+(5\beta _{1}+\cdots)q^{9}+\cdots\)
482.2.d.c 482.d 241.d $10$ $3.849$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{6}q^{2}+(-\beta _{6}-\beta _{9})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
530.2.e.c 530.e 265.j $10$ $4.232$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(0\) \(-4\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+q^{2}+(\beta _{2}+\beta _{5})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
530.2.j.c 530.j 265.e $10$ $4.232$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(8\) \(-2\) \(-6\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{2}q^{2}+(1+\beta _{7})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5.13.c.a 5.c 5.c $10$ $4.570$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-2\) \(318\) \(-4250\) \(279598\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{2}+(31-31\beta _{1}-\beta _{3}+3\beta _{6}+\cdots)q^{3}+\cdots\)
82.4.c.a 82.c 41.c $10$ $4.838$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(4\) \(0\) \(20\) $\mathrm{SU}(2)[C_{4}]$ \(q+2\beta _{4}q^{2}+\beta _{1}q^{3}-4q^{4}+(\beta _{4}-\beta _{9})q^{5}+\cdots\)
610.2.g.b 610.g 305.f $10$ $4.871$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{3}q^{2}-q^{4}+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
610.2.j.b 610.j 305.k $10$ $4.871$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+q^{2}+q^{4}-\beta _{1}q^{5}+(-\beta _{5}+\beta _{6})q^{7}+\cdots\)
656.2.l.i 656.l 41.c $10$ $5.238$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(10\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{3}-\beta _{8}q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
34.6.c.b 34.c 17.c $10$ $5.453$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(10\) \(48\) \(96\) $\mathrm{SU}(2)[C_{4}]$ \(q+4\beta _{4}q^{2}+(1-\beta _{1}-\beta _{4})q^{3}-2^{4}q^{4}+\cdots\)
58.5.c.a 58.c 29.c $10$ $5.995$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-20\) \(16\) \(0\) \(-96\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-2-2\beta _{3})q^{2}+(2-\beta _{1}+2\beta _{3})q^{3}+\cdots\)
58.5.c.b 58.c 29.c $10$ $5.995$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(20\) \(-16\) \(0\) \(96\) $\mathrm{SU}(2)[C_{4}]$ \(q+(2-2\beta _{5})q^{2}+(-2+\beta _{1}+2\beta _{5})q^{3}+\cdots\)
870.2.n.n 870.n 145.e $10$ $6.947$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(10\) \(-2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{2}+q^{3}-q^{4}-\beta _{1}q^{5}+\beta _{5}q^{6}+\cdots\)
870.2.o.n 870.o 145.j $10$ $6.947$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(0\) \(2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+q^{2}-\beta _{5}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{5}q^{6}+\cdots\)
884.2.o.d 884.o 17.c $10$ $7.059$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-6\) \(8\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{3}+(-1-\beta _{2}-\beta _{3}+\beta _{8})q^{5}+\cdots\)
928.2.k.e 928.k 116.e $10$ $7.410$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{6}q^{3}-\beta _{7}q^{5}+(-\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots\)
928.2.k.f 928.k 116.e $10$ $7.410$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{3}q^{3}+\beta _{7}q^{5}+(-\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots\)
128.4.e.a 128.e 16.e $10$ $7.552$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{5}q^{3}-\beta _{3}q^{5}+(3\beta _{1}-\beta _{4})q^{7}+(5\beta _{1}+\cdots)q^{9}+\cdots\)
128.4.e.b 128.e 16.e $10$ $7.552$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{3}-\beta _{3}q^{5}+(-3\beta _{1}+\beta _{4})q^{7}+\cdots\)
144.4.k.a 144.k 16.e $10$ $8.496$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(2\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{4}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{6}+\beta _{8}+\cdots)q^{4}+\cdots\)
40.7.l.b 40.l 5.c $10$ $9.202$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(14\) \(94\) \(454\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+\beta _{1}-\beta _{3})q^{3}+(9-2^{4}\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1158.2.f.f 1158.f 193.d $10$ $9.247$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-10\) \(-2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{3}q^{2}-q^{3}-q^{4}-\beta _{1}q^{5}-\beta _{3}q^{6}+\cdots\)
34.8.c.a 34.c 17.c $10$ $10.621$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(-56\) \(-414\) \(-168\) $\mathrm{SU}(2)[C_{4}]$ \(q+8\beta _{4}q^{2}+(-6+\beta _{1}-6\beta _{4})q^{3}-2^{6}q^{4}+\cdots\)
34.8.c.b 34.c 17.c $10$ $10.621$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(30\) \(308\) \(-620\) $\mathrm{SU}(2)[C_{4}]$ \(q-8\beta _{3}q^{2}+(3+\beta _{1}+3\beta _{3})q^{3}-2^{6}q^{4}+\cdots\)
1450.2.e.f 1450.e 145.j $10$ $11.578$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-10\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{4}]$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1450.2.e.g 1450.e 145.j $10$ $11.578$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(10\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
1450.2.j.f 1450.j 145.e $10$ $11.578$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(-4\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{2}+\beta _{2}q^{3}-q^{4}+\beta _{1}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1450.2.j.g 1450.j 145.e $10$ $11.578$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(4\) \(0\) \(2\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{2}-\beta _{2}q^{3}-q^{4}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
464.3.l.d 464.l 29.c $10$ $12.643$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{3}+(-\beta _{3}+\beta _{5})q^{5}-\beta _{6}q^{7}+\cdots\)
20.11.f.a 20.f 5.c $10$ $12.707$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(0\) \(62\) \(894\) \(22286\) $\mathrm{SU}(2)[C_{4}]$ \(q+(6+6\beta _{1}-\beta _{2})q^{3}+(90-174\beta _{1}+\cdots)q^{5}+\cdots\)
522.3.f.g 522.f 29.c $10$ $14.223$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-\beta _{3})q^{2}+2\beta _{3}q^{4}+(\beta _{3}+\beta _{4}+\cdots)q^{5}+\cdots\)
522.3.f.h 522.f 29.c $10$ $14.223$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1-\beta _{3})q^{2}-2\beta _{3}q^{4}+(\beta _{3}+\beta _{4})q^{5}+\cdots\)
80.7.p.f 80.p 5.c $10$ $18.404$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-14\) \(94\) \(-454\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-\beta _{1}+\beta _{4})q^{3}+(9-2^{4}\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
10.19.c.b 10.c 5.c $10$ $20.539$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-2560\) \(3230\) \(-1436130\) \(-71828530\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-2^{8}-2^{8}\beta _{1})q^{2}+(323-323\beta _{1}+\cdots)q^{3}+\cdots\)
25.13.c.b 25.c 5.c $10$ $22.850$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(2\) \(-318\) \(0\) \(-279598\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{6}q^{2}+(-31-31\beta _{1}+\beta _{4}-3\beta _{7}+\cdots)q^{3}+\cdots\)
10.21.c.a 10.c 5.c $10$ $25.351$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-5120\) \(15390\) \(1328310\) \(245615990\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-2^{9}+2^{9}\beta _{1})q^{2}+(1539+1539\beta _{1}+\cdots)q^{3}+\cdots\)
10.21.c.b 10.c 5.c $10$ $25.351$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(5120\) \(-74290\) \(14752950\) \(466569110\) $\mathrm{SU}(2)[C_{4}]$ \(q+(2^{9}+2^{9}\beta _{1})q^{2}+(-7429+7429\beta _{1}+\cdots)q^{3}+\cdots\)
954.3.f.b 954.f 53.c $10$ $25.995$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1+\beta _{2})q^{2}-2\beta _{2}q^{4}-\beta _{8}q^{5}+\cdots\)
Next   displayed columns for results