Learn more about

Refine search

Results (displaying matches 1-50 of 181) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
324.1.d.a \(1\) \(0.162\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{13}+\cdots\)
324.1.d.b \(1\) \(0.162\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-q^{13}+\cdots\)
324.1.f.a \(2\) \(0.162\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}-q^{10}+\cdots\)
324.1.f.b \(2\) \(0.162\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-q^{8}-q^{10}+\cdots\)
324.1.g.a \(2\) \(0.162\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q-\zeta_{6}^{2}q^{7}+\zeta_{6}q^{13}-q^{19}+\zeta_{6}^{2}q^{25}+\cdots\)
324.2.a.a \(1\) \(2.587\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(+\) \(q-3q^{5}-q^{7}-3q^{11}-q^{13}-6q^{17}+\cdots\)
324.2.a.b \(1\) \(2.587\) \(\Q\) None None \(0\) \(0\) \(-3\) \(2\) \(-\) \(q-3q^{5}+2q^{7}+6q^{11}+5q^{13}+3q^{17}+\cdots\)
324.2.a.c \(1\) \(2.587\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(-\) \(q+3q^{5}-q^{7}+3q^{11}-q^{13}+6q^{17}+\cdots\)
324.2.a.d \(1\) \(2.587\) \(\Q\) None None \(0\) \(0\) \(3\) \(2\) \(-\) \(q+3q^{5}+2q^{7}-6q^{11}+5q^{13}-3q^{17}+\cdots\)
324.2.b.a \(4\) \(2.587\) \(\Q(\sqrt{-2}, \sqrt{3})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-2q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{8}+\cdots\)
324.2.b.b \(8\) \(2.587\) 8.0.170772624.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}-\beta _{2}q^{4}+(\beta _{3}-\beta _{4}+\beta _{7})q^{5}+\cdots\)
324.2.b.c \(8\) \(2.587\) 8.0.5780865024.3 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{3}+\beta _{5})q^{5}+\cdots\)
324.2.e.a \(2\) \(2.587\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(-2\) \(q-3\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(6-6\zeta_{6})q^{11}+\cdots\)
324.2.e.b \(2\) \(2.587\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-5\) \(q+(-5+5\zeta_{6})q^{7}+7\zeta_{6}q^{13}-q^{19}+\cdots\)
324.2.e.c \(2\) \(2.587\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(4\) \(q+(4-4\zeta_{6})q^{7}-2\zeta_{6}q^{13}+8q^{19}+\cdots\)
324.2.e.d \(2\) \(2.587\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(-2\) \(q+3\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(-6+6\zeta_{6})q^{11}+\cdots\)
324.2.h.a \(4\) \(2.587\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(6\) \(q-\beta _{3}q^{2}-2q^{4}+2\beta _{1}q^{5}+(2-\beta _{2}+\cdots)q^{7}+\cdots\)
324.2.h.b \(4\) \(2.587\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(-6\) \(q+\beta _{1}q^{2}+2\beta _{2}q^{4}+2\beta _{1}q^{5}+(-2+\cdots)q^{7}+\cdots\)
324.2.h.c \(4\) \(2.587\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{3})q^{2}+(2-2\beta _{2})q^{4}+\beta _{1}q^{5}+\cdots\)
324.2.h.d \(8\) \(2.587\) 8.0.12960000.1 None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{3}+\beta _{7})q^{2}+(-\beta _{1}-\beta _{2})q^{4}+\cdots\)
324.2.h.e \(8\) \(2.587\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{3}q^{2}+(2-2\zeta_{24})q^{4}+(\zeta_{24}^{5}+\cdots)q^{5}+\cdots\)
324.2.h.f \(16\) \(2.587\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{15}q^{2}+(-1+\beta _{8}-\beta _{9}-\beta _{11}+\cdots)q^{4}+\cdots\)
324.2.i.a \(18\) \(2.587\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(-3\) \(0\) \(q+(-\beta _{1}-\beta _{3})q^{5}+(-\beta _{8}-\beta _{9}-\beta _{10}+\cdots)q^{7}+\cdots\)
324.2.l.a \(96\) \(2.587\) None None \(6\) \(0\) \(12\) \(0\)
324.2.m.a \(162\) \(2.587\) None None \(0\) \(0\) \(0\) \(0\)
324.2.p.a \(936\) \(2.587\) None None \(-18\) \(0\) \(-36\) \(0\)
324.3.c.a \(4\) \(8.828\) \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+\beta _{1}q^{5}+(-1+\beta _{2})q^{7}-\beta _{3}q^{11}+\cdots\)
324.3.c.b \(4\) \(8.828\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{1}q^{5}+(1-\beta _{2})q^{7}+(-\beta _{1}+\beta _{3})q^{11}+\cdots\)
324.3.d.a \(2\) \(8.828\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) None \(-4\) \(0\) \(-8\) \(0\) \(q-2q^{2}+4q^{4}+(-4+\beta )q^{5}-8q^{8}+\cdots\)
324.3.d.b \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(0\) \(8\) \(0\) \(q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}+4q^{5}+\cdots\)
324.3.d.c \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(-8\) \(0\) \(q+(1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}-4q^{5}+\cdots\)
324.3.d.d \(2\) \(8.828\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) None \(4\) \(0\) \(8\) \(0\) \(q+2q^{2}+4q^{4}+(4+\beta )q^{5}+8q^{8}+(8+\cdots)q^{10}+\cdots\)
324.3.d.e \(6\) \(8.828\) 6.0.3636603.2 None None \(-1\) \(0\) \(-2\) \(0\) \(q-\beta _{3}q^{2}-\beta _{1}q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
324.3.d.f \(6\) \(8.828\) 6.0.3636603.2 None None \(1\) \(0\) \(2\) \(0\) \(q-\beta _{1}q^{2}-\beta _{2}q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
324.3.d.g \(8\) \(8.828\) 8.0.\(\cdots\).1 None None \(-3\) \(0\) \(6\) \(0\) \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}+\beta _{5}-\beta _{6})q^{4}+\cdots\)
324.3.d.h \(8\) \(8.828\) 8.0.\(\cdots\).4 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(-1-\beta _{6})q^{4}+(-2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
324.3.d.i \(8\) \(8.828\) 8.0.\(\cdots\).1 None None \(3\) \(0\) \(-6\) \(0\) \(q+\beta _{6}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{4}+\beta _{6})q^{4}+\cdots\)
324.3.f.a \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(-4\) \(0\) \(-2\) \(12\) \(q-2q^{2}+4q^{4}+(-2+2\zeta_{6})q^{5}+(8+\cdots)q^{7}+\cdots\)
324.3.f.b \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(-4\) \(0\) \(7\) \(-15\) \(q-2q^{2}+4q^{4}+(7-7\zeta_{6})q^{5}+(-10+\cdots)q^{7}+\cdots\)
324.3.f.c \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(0\) \(-7\) \(15\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(-7+7\zeta_{6})q^{5}+\cdots\)
324.3.f.d \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(0\) \(2\) \(-12\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(2-2\zeta_{6})q^{5}+\cdots\)
324.3.f.e \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(8\) \(0\) \(q-2\zeta_{6}q^{2}+(-4+4\zeta_{6})q^{4}+(8-8\zeta_{6})q^{5}+\cdots\)
324.3.f.f \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(-8\) \(0\) \(q+2\zeta_{6}q^{2}+(-4+4\zeta_{6})q^{4}+(-8+8\zeta_{6})q^{5}+\cdots\)
324.3.f.g \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(-2\) \(-12\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(-2+2\zeta_{6})q^{5}+\cdots\)
324.3.f.h \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(7\) \(15\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(7-7\zeta_{6})q^{5}+\cdots\)
324.3.f.i \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(4\) \(0\) \(-7\) \(-15\) \(q+2q^{2}+4q^{4}+(-7+7\zeta_{6})q^{5}+(-10+\cdots)q^{7}+\cdots\)
324.3.f.j \(2\) \(8.828\) \(\Q(\sqrt{-3}) \) None None \(4\) \(0\) \(2\) \(12\) \(q+2q^{2}+4q^{4}+(2-2\zeta_{6})q^{5}+(8-4\zeta_{6})q^{7}+\cdots\)
324.3.f.k \(4\) \(8.828\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(-4\) \(0\) \(-8\) \(0\) \(q+(-2+2\zeta_{12})q^{2}-4\zeta_{12}q^{4}+(-4\zeta_{12}+\cdots)q^{5}+\cdots\)
324.3.f.l \(4\) \(8.828\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(-3\) \(0\) \(0\) \(0\) \(q+(-1+\beta _{1})q^{2}+(-\beta _{1}+3\beta _{2}+\beta _{3})q^{4}+\cdots\)
324.3.f.m \(4\) \(8.828\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(3\) \(0\) \(0\) \(0\) \(q+(1-\beta _{1})q^{2}+(-\beta _{1}+3\beta _{2}+\beta _{3})q^{4}+\cdots\)
Next

Download all 181 search results for