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Results (displaying matches 1-50 of 82) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
124.1.i.a \(4\) \(0.062\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
124.2.a.a \(1\) \(0.990\) \(\Q\) None None \(0\) \(-2\) \(-3\) \(-1\) \(+\) \(q-2q^{3}-3q^{5}-q^{7}+q^{9}-6q^{11}+\cdots\)
124.2.a.b \(1\) \(0.990\) \(\Q\) None None \(0\) \(0\) \(1\) \(3\) \(-\) \(q+q^{5}+3q^{7}-3q^{9}+6q^{11}-4q^{13}+\cdots\)
124.2.d.a \(4\) \(0.990\) \(\Q(i, \sqrt{6})\) None None \(-4\) \(0\) \(4\) \(0\) \(q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}-2\beta _{1}q^{4}+\cdots\)
124.2.d.b \(4\) \(0.990\) \(\Q(\sqrt{6}, \sqrt{-7})\) None None \(2\) \(0\) \(-8\) \(0\) \(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(-2-\beta _{1})q^{4}-2q^{5}+\cdots\)
124.2.d.c \(6\) \(0.990\) 6.0.21717639.1 \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{2}-\beta _{3}q^{4}+(\beta _{3}+\beta _{4}-\beta _{5})q^{5}+\cdots\)
124.2.e.a \(6\) \(0.990\) 6.0.954288.1 None None \(0\) \(1\) \(-1\) \(-1\) \(q+(-\beta _{4}+\beta _{5})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
124.2.f.a \(4\) \(0.990\) \(\Q(\zeta_{10})\) None None \(0\) \(-3\) \(8\) \(1\) \(q+(-1+\zeta_{10}^{3})q^{3}+2q^{5}+(\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{7}+\cdots\)
124.2.f.b \(4\) \(0.990\) \(\Q(\zeta_{10})\) None None \(0\) \(5\) \(-6\) \(7\) \(q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+(-1+\cdots)q^{5}+\cdots\)
124.2.g.a \(28\) \(0.990\) None None \(-4\) \(0\) \(-2\) \(0\)
124.2.j.a \(8\) \(0.990\) \(\Q(\zeta_{20})\) None None \(-2\) \(0\) \(-4\) \(0\) \(q+(-1+\zeta_{20}^{2}-\zeta_{20}^{3}-\zeta_{20}^{4}+\zeta_{20}^{6}+\cdots)q^{2}+\cdots\)
124.2.j.b \(48\) \(0.990\) None None \(-1\) \(0\) \(-12\) \(0\)
124.2.m.a \(24\) \(0.990\) None None \(0\) \(-1\) \(1\) \(-9\)
124.2.p.a \(112\) \(0.990\) None None \(-6\) \(0\) \(-8\) \(0\)
124.3.b.a \(30\) \(3.379\) None None \(-2\) \(0\) \(-4\) \(0\)
124.3.c.a \(2\) \(3.379\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-12\) \(-20\) \(q-\zeta_{6}q^{3}-6q^{5}-10q^{7}-3q^{9}+5\zeta_{6}q^{11}+\cdots\)
124.3.c.b \(4\) \(3.379\) 4.0.63368.1 None None \(0\) \(0\) \(18\) \(6\) \(q+\beta _{2}q^{3}+(4+\beta _{3})q^{5}+(2-\beta _{3})q^{7}+\cdots\)
124.3.h.a \(10\) \(3.379\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(3\) \(3\) \(1\) \(q+\beta _{5}q^{3}+(-\beta _{1}-\beta _{6})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
124.3.i.a \(60\) \(3.379\) None None \(-4\) \(0\) \(-2\) \(0\)
124.3.k.a \(24\) \(3.379\) None None \(0\) \(0\) \(-6\) \(-6\)
124.3.l.a \(120\) \(3.379\) None None \(-3\) \(0\) \(-16\) \(0\)
124.3.n.a \(240\) \(3.379\) None None \(-6\) \(0\) \(-8\) \(0\)
124.3.o.a \(40\) \(3.379\) None None \(0\) \(-3\) \(-3\) \(19\)
124.4.a.a \(4\) \(7.316\) 4.4.841724.1 None None \(0\) \(-4\) \(-14\) \(-12\) \(-\) \(q+(-1-\beta _{3})q^{3}+(-3-\beta _{1}-\beta _{2}+2\beta _{3})q^{5}+\cdots\)
124.4.a.b \(4\) \(7.316\) 4.4.4000044.1 None None \(0\) \(2\) \(6\) \(16\) \(+\) \(q+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{3})q^{5}+(4+\beta _{1}+\cdots)q^{7}+\cdots\)
124.4.d.a \(2\) \(7.316\) \(\Q(\sqrt{-31}) \) \(\Q(\sqrt{-31}) \) None \(1\) \(0\) \(-4\) \(0\) \(q+\beta q^{2}+(-8+\beta )q^{4}-2q^{5}+(6-12\beta )q^{7}+\cdots\)
124.4.d.b \(4\) \(7.316\) \(\Q(\sqrt{-3}, \sqrt{-31})\) \(\Q(\sqrt{-31}) \) None \(-1\) \(0\) \(4\) \(0\) \(q+(-1-\beta _{1}-\beta _{3})q^{2}+(4+\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots\)
124.4.d.c \(40\) \(7.316\) None None \(-2\) \(0\) \(-4\) \(0\)
124.4.e.a \(2\) \(7.316\) \(\Q(\sqrt{-3}) \) None None \(0\) \(5\) \(15\) \(-29\) \(q+(5-5\zeta_{6})q^{3}+15\zeta_{6}q^{5}+(-29+29\zeta_{6})q^{7}+\cdots\)
124.4.e.b \(6\) \(7.316\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None None \(0\) \(-9\) \(-3\) \(45\) \(q+(-3-\beta _{1}-\beta _{2}+3\beta _{3})q^{3}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
124.4.e.c \(8\) \(7.316\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(-16\) \(-32\) \(q-\beta _{6}q^{3}+(-\beta _{3}-4\beta _{4}-\beta _{6}+\beta _{7})q^{5}+\cdots\)
124.4.f.a \(32\) \(7.316\) None None \(0\) \(2\) \(8\) \(-34\)
124.4.g.a \(92\) \(7.316\) None None \(-4\) \(0\) \(-2\) \(0\)
124.4.j.a \(184\) \(7.316\) None None \(-3\) \(0\) \(-16\) \(0\)
124.4.m.a \(64\) \(7.316\) None None \(0\) \(4\) \(4\) \(46\)
124.4.p.a \(368\) \(7.316\) None None \(-6\) \(0\) \(-8\) \(0\)
124.5.b.a \(60\) \(12.818\) None None \(6\) \(0\) \(24\) \(0\)
124.5.c.a \(10\) \(12.818\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(-6\) \(-2\) \(q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}-\beta _{4}q^{7}+(-15+\cdots)q^{9}+\cdots\)
124.5.h.a \(22\) \(12.818\) None None \(0\) \(9\) \(-3\) \(15\)
124.5.i.a \(124\) \(12.818\) None None \(-4\) \(0\) \(-2\) \(0\)
124.5.k.a \(40\) \(12.818\) None None \(0\) \(0\) \(6\) \(202\)
124.5.l.a \(248\) \(12.818\) None None \(-3\) \(0\) \(-16\) \(0\)
124.5.n.a \(496\) \(12.818\) None None \(-6\) \(0\) \(-8\) \(0\)
124.5.o.a \(88\) \(12.818\) None None \(0\) \(-9\) \(3\) \(-215\)
124.6.a.a \(6\) \(19.888\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(2\) \(-75\) \(-157\) \(+\) \(q-\beta _{2}q^{3}+(-12+\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots\)
124.6.a.b \(6\) \(19.888\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(20\) \(25\) \(39\) \(-\) \(q+(3+\beta _{1})q^{3}+(4+\beta _{1}-\beta _{5})q^{5}+(6+\cdots)q^{7}+\cdots\)
124.6.d.a \(6\) \(19.888\) 6.0.21717639.1 \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}+\beta _{2}+2\beta _{4}-2\beta _{5})q^{2}+(-4\beta _{1}+\cdots)q^{4}+\cdots\)
124.6.d.b \(72\) \(19.888\) None None \(-2\) \(0\) \(-4\) \(0\)
124.6.e.a \(26\) \(19.888\) None None \(0\) \(-7\) \(29\) \(-85\)
124.6.f.a \(56\) \(19.888\) None None \(0\) \(2\) \(-58\) \(104\)
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