Learn more about

Refine search

Results (displaying all 45 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
633.1.m.a \(4\) \(0.316\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(3\) \(q-\zeta_{10}^{3}q^{3}+\zeta_{10}^{2}q^{4}+(1-\zeta_{10}^{3}+\cdots)q^{7}+\cdots\)
633.1.m.b \(8\) \(0.316\) \(\Q(\zeta_{20})\) None None \(0\) \(2\) \(0\) \(-2\) \(q+(\zeta_{20}^{5}+\zeta_{20}^{9})q^{2}+\zeta_{20}^{6}q^{3}+(-1+\cdots)q^{4}+\cdots\)
633.1.p.a \(6\) \(0.316\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{4}q^{4}-\zeta_{14}^{5}q^{7}+\cdots\)
633.1.z.a \(24\) \(0.316\) \(\Q(\zeta_{35})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-3\) \(q-\zeta_{70}^{9}q^{3}-\zeta_{70}^{11}q^{4}+(-\zeta_{70}^{5}+\cdots)q^{7}+\cdots\)
633.2.a.a \(1\) \(5.055\) \(\Q\) None None \(-1\) \(-1\) \(-3\) \(2\) \(+\) \(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}+2q^{7}+\cdots\)
633.2.a.b \(4\) \(5.055\) 4.4.725.1 None None \(-2\) \(4\) \(-3\) \(-11\) \(+\) \(q-\beta _{2}q^{2}+q^{3}+(\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
633.2.a.c \(8\) \(5.055\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(-3\) \(-8\) \(-2\) \(-11\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
633.2.a.d \(8\) \(5.055\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(4\) \(-8\) \(3\) \(7\) \(-\) \(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
633.2.a.e \(14\) \(5.055\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(3\) \(14\) \(-1\) \(13\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots\)
633.2.d.a \(68\) \(5.055\) None None \(0\) \(0\) \(0\) \(0\)
633.2.e.a \(34\) \(5.055\) None None \(-3\) \(17\) \(-4\) \(-4\)
633.2.e.b \(36\) \(5.055\) None None \(-1\) \(-18\) \(4\) \(1\)
633.2.f.a \(68\) \(5.055\) None None \(0\) \(17\) \(2\) \(-8\)
633.2.f.b \(76\) \(5.055\) None None \(-4\) \(-19\) \(-2\) \(10\)
633.2.g.a \(2\) \(5.055\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(9\) \(q+(-1-\zeta_{6})q^{3}+2\zeta_{6}q^{4}+(3+3\zeta_{6})q^{7}+\cdots\)
633.2.g.b \(136\) \(5.055\) None None \(0\) \(0\) \(0\) \(-12\)
633.2.j.a \(102\) \(5.055\) None None \(7\) \(17\) \(2\) \(2\)
633.2.j.b \(114\) \(5.055\) None None \(3\) \(-19\) \(-2\) \(-10\)
633.2.k.a \(272\) \(5.055\) None None \(0\) \(-10\) \(0\) \(-30\)
633.2.n.a \(408\) \(5.055\) None None \(0\) \(-7\) \(0\) \(-14\)
633.2.q.a \(136\) \(5.055\) None None \(3\) \(-17\) \(4\) \(-1\)
633.2.q.b \(144\) \(5.055\) None None \(1\) \(18\) \(-4\) \(-1\)
633.2.r.a \(204\) \(5.055\) None None \(-4\) \(-17\) \(4\) \(4\)
633.2.r.b \(216\) \(5.055\) None None \(-6\) \(18\) \(-4\) \(-1\)
633.2.u.a \(8\) \(5.055\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(16\) \(q+(\zeta_{15}-\zeta_{15}^{6})q^{3}-2\zeta_{15}^{4}q^{4}+(3+\cdots)q^{7}+\cdots\)
633.2.u.b \(544\) \(5.055\) None None \(0\) \(-5\) \(0\) \(-18\)
633.2.v.a \(408\) \(5.055\) None None \(-7\) \(-17\) \(-2\) \(8\)
633.2.v.b \(456\) \(5.055\) None None \(-3\) \(19\) \(2\) \(-10\)
633.2.y.a \(12\) \(5.055\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(-9\) \(q+(2\zeta_{21}+\zeta_{21}^{8})q^{3}+(2\zeta_{21}^{2}+2\zeta_{21}^{9}+\cdots)q^{4}+\cdots\)
633.2.y.b \(816\) \(5.055\) None None \(0\) \(-14\) \(0\) \(-16\)
633.2.bb.a \(1632\) \(5.055\) None None \(0\) \(-18\) \(0\) \(-26\)
633.2.bc.a \(816\) \(5.055\) None None \(4\) \(17\) \(-4\) \(1\)
633.2.bc.b \(864\) \(5.055\) None None \(6\) \(-18\) \(4\) \(1\)
633.2.bd.a \(48\) \(5.055\) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(-16\)
633.2.bd.b \(3264\) \(5.055\) None None \(0\) \(-51\) \(0\) \(-94\)
633.3.c.a \(70\) \(17.248\) None None \(0\) \(0\) \(0\) \(0\)
633.4.a.a \(1\) \(37.348\) \(\Q\) None None \(-4\) \(-3\) \(3\) \(30\) \(-\) \(q-4q^{2}-3q^{3}+8q^{4}+3q^{5}+12q^{6}+\cdots\)
633.4.a.b \(21\) \(37.348\) None None \(-8\) \(63\) \(-25\) \(-104\) \(-\)
633.4.a.c \(26\) \(37.348\) None None \(-6\) \(-78\) \(-18\) \(-92\) \(-\)
633.4.a.d \(26\) \(37.348\) None None \(6\) \(-78\) \(25\) \(50\) \(+\)
633.4.a.e \(32\) \(37.348\) None None \(8\) \(96\) \(15\) \(120\) \(+\)
633.6.a.a \(38\) \(101.523\) None None \(-16\) \(342\) \(-81\) \(-755\) \(+\)
633.6.a.b \(43\) \(101.523\) None None \(20\) \(-387\) \(75\) \(519\) \(-\)
633.6.a.c \(44\) \(101.523\) None None \(-12\) \(-396\) \(-125\) \(-265\) \(+\)
633.6.a.d \(49\) \(101.523\) None None \(16\) \(441\) \(119\) \(813\) \(-\)


Download all search results for