Learn more

Refine search


Results (44 matches)

  Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
536.1.h.a \(3\) \(0.267\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-134}) \) None \(-3\) \(1\) \(1\) \(0\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
536.1.h.b \(3\) \(0.267\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-134}) \) None \(3\) \(-1\) \(-1\) \(0\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
536.1.o.a \(2\) \(0.267\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{6}+q^{8}+\cdots\)
536.1.t.a \(10\) \(0.267\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{22}^{7}q^{2}+(\zeta_{22}^{8}+\zeta_{22}^{10})q^{3}-\zeta_{22}^{3}q^{4}+\cdots\)
536.1.ba.a \(20\) \(0.267\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-2}) \) None \(1\) \(2\) \(0\) \(0\) \(q-\zeta_{66}^{23}q^{2}+(\zeta_{66}^{14}-\zeta_{66}^{31})q^{3}+\cdots\)
536.2.a.a \(2\) \(4.280\) \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-2\) \(-1\) \(+\) \(q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
536.2.a.b \(3\) \(4.280\) 3.3.229.1 None None \(0\) \(-3\) \(-2\) \(-1\) \(+\) \(q+(-1-\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
536.2.a.c \(3\) \(4.280\) 3.3.733.1 None None \(0\) \(3\) \(2\) \(1\) \(-\) \(q+(1+\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots\)
536.2.a.d \(4\) \(4.280\) 4.4.10889.1 None None \(0\) \(-3\) \(-1\) \(-2\) \(-\) \(q+(-1+\beta _{1})q^{3}+(\beta _{1}-\beta _{3})q^{5}+(-2+\cdots)q^{7}+\cdots\)
536.2.a.e \(5\) \(4.280\) 5.5.648101.1 None None \(0\) \(4\) \(1\) \(7\) \(-\) \(q+(1-\beta _{1})q^{3}+(1-\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots\)
536.2.c.a \(66\) \(4.280\) None None \(0\) \(0\) \(0\) \(0\)
536.2.e.a \(2\) \(4.280\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{2}-2\beta q^{3}-2q^{4}+4q^{6}-2\beta q^{8}+\cdots\)
536.2.e.b \(64\) \(4.280\) None None \(0\) \(0\) \(0\) \(0\)
536.2.i.a \(4\) \(4.280\) \(\Q(\sqrt{-3}, \sqrt{17})\) None None \(0\) \(-2\) \(8\) \(1\) \(q+\beta _{3}q^{3}+2q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
536.2.i.b \(14\) \(4.280\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(6\) \(-10\) \(-5\) \(q-\beta _{2}q^{3}+(-1+\beta _{6}-\beta _{8})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
536.2.i.c \(16\) \(4.280\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(2\) \(-2\) \(0\) \(q+\beta _{2}q^{3}-\beta _{8}q^{5}+\beta _{6}q^{7}+(1-\beta _{4}+\cdots)q^{9}+\cdots\)
536.2.j.a \(132\) \(4.280\) None None \(-3\) \(0\) \(0\) \(-6\)
536.2.l.a \(4\) \(4.280\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-1+2\beta _{2}-\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots\)
536.2.l.b \(128\) \(4.280\) None None \(-3\) \(0\) \(0\) \(0\)
536.2.q.a \(80\) \(4.280\) None None \(0\) \(-1\) \(1\) \(-6\)
536.2.q.b \(90\) \(4.280\) None None \(0\) \(1\) \(1\) \(2\)
536.2.u.a \(20\) \(4.280\) 20.0.\(\cdots\).5 \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{7}q^{2}+(-\beta _{1}+\beta _{3}-\beta _{5}+\beta _{7}-\beta _{8}+\cdots)q^{3}+\cdots\)
536.2.u.b \(640\) \(4.280\) None None \(-11\) \(-22\) \(0\) \(0\)
536.2.w.a \(660\) \(4.280\) None None \(-11\) \(0\) \(0\) \(-22\)
536.2.y.a \(160\) \(4.280\) None None \(0\) \(-2\) \(2\) \(0\)
536.2.y.b \(180\) \(4.280\) None None \(0\) \(-4\) \(2\) \(4\)
536.2.bd.a \(40\) \(4.280\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\)
536.2.bd.b \(1280\) \(4.280\) None None \(-19\) \(-44\) \(0\) \(0\)
536.2.bf.a \(1320\) \(4.280\) None None \(-19\) \(0\) \(0\) \(-38\)
536.3.b.a \(34\) \(14.605\) None None \(0\) \(0\) \(0\) \(0\)
536.3.k.a \(68\) \(14.605\) None None \(0\) \(0\) \(0\) \(0\)
536.4.a.a \(10\) \(31.625\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(0\) \(-5\) \(3\) \(-\) \(q+\beta _{1}q^{3}+\beta _{3}q^{5}+(-\beta _{1}+\beta _{7})q^{7}+\cdots\)
536.4.a.b \(11\) \(31.625\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(0\) \(-12\) \(-3\) \(-37\) \(-\) \(q+(-1-\beta _{1})q^{3}-\beta _{3}q^{5}+(-3-\beta _{7}+\cdots)q^{7}+\cdots\)
536.4.a.c \(13\) \(31.625\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(0\) \(9\) \(12\) \(19\) \(+\) \(q+(1-\beta _{1})q^{3}+(1+\beta _{2})q^{5}+(1+\beta _{4}+\cdots)q^{7}+\cdots\)
536.4.a.d \(15\) \(31.625\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(3\) \(10\) \(3\) \(+\) \(q+\beta _{1}q^{3}+(1+\beta _{3})q^{5}-\beta _{6}q^{7}+(12+\cdots)q^{9}+\cdots\)
536.5.b.a \(68\) \(55.406\) None None \(0\) \(0\) \(0\) \(0\)
536.6.a.a \(18\) \(85.966\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(-9\) \(24\) \(-13\) \(+\) \(q-\beta _{1}q^{3}+(1-\beta _{6})q^{5}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
536.6.a.b \(20\) \(85.966\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(-27\) \(-50\) \(-221\) \(+\) \(q+(-1-\beta _{1})q^{3}+(-3+\beta _{6})q^{5}+(-11+\cdots)q^{7}+\cdots\)
536.6.a.c \(22\) \(85.966\) None None \(0\) \(36\) \(25\) \(171\) \(-\)
536.6.a.d \(23\) \(85.966\) None None \(0\) \(0\) \(99\) \(-13\) \(-\)
536.8.a.a \(26\) \(167.438\) None None \(0\) \(0\) \(-43\) \(399\) \(-\)
536.8.a.b \(28\) \(167.438\) None None \(0\) \(-108\) \(-555\) \(-1097\) \(-\)
536.8.a.c \(30\) \(167.438\) None None \(0\) \(81\) \(-180\) \(1647\) \(+\)
536.8.a.d \(31\) \(167.438\) None None \(0\) \(27\) \(332\) \(399\) \(+\)
  Download to