Learn more about

Refine search

Results (displaying matches 1-50 of 245) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
84.1.p.a \(2\) \(0.042\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots\)
84.2.a.a \(1\) \(0.671\) \(\Q\) None None \(0\) \(-1\) \(4\) \(-1\) \(-\) \(q-q^{3}+4q^{5}-q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
84.2.a.b \(1\) \(0.671\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+q^{3}+q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
84.2.b.a \(4\) \(0.671\) 4.0.2312.1 None None \(-1\) \(-4\) \(0\) \(2\) \(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
84.2.b.b \(4\) \(0.671\) 4.0.2312.1 None None \(-1\) \(4\) \(0\) \(-2\) \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
84.2.e.a \(12\) \(0.671\) 12.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}-\beta _{9}q^{3}+(-\beta _{2}-\beta _{3})q^{4}+\cdots\)
84.2.f.a \(2\) \(0.671\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{6}q^{3}+(2-\zeta_{6})q^{7}-3q^{9}+4\zeta_{6}q^{13}+\cdots\)
84.2.i.a \(2\) \(0.671\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(2\) \(1\) \(q+\zeta_{6}q^{3}+(2-2\zeta_{6})q^{5}+(-1+3\zeta_{6})q^{7}+\cdots\)
84.2.k.a \(2\) \(0.671\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(3\) \(4\) \(q+(-2+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
84.2.k.b \(2\) \(0.671\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(4\) \(q+(1-2\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
84.2.k.c \(2\) \(0.671\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(-5\) \(q+(1+\zeta_{6})q^{3}+(-2-\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
84.2.n.a \(24\) \(0.671\) None None \(0\) \(0\) \(0\) \(0\)
84.2.o.a \(8\) \(0.671\) 8.0.562828176.1 None None \(1\) \(-4\) \(0\) \(2\) \(q-\beta _{4}q^{2}+(-1+\beta _{3})q^{3}+(\beta _{2}+\beta _{5}+\cdots)q^{4}+\cdots\)
84.2.o.b \(8\) \(0.671\) 8.0.562828176.1 None None \(1\) \(4\) \(0\) \(-2\) \(q+\beta _{6}q^{2}+\beta _{3}q^{3}+(\beta _{1}-\beta _{2})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
84.3.c.a \(4\) \(2.289\) 4.0.116032.1 None None \(0\) \(6\) \(0\) \(0\) \(q+(2-\beta _{1})q^{3}+(-2+\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+\cdots\)
84.3.d.a \(2\) \(2.289\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(0\) \(-14\) \(q-\zeta_{6}q^{3}-4\zeta_{6}q^{5}-7q^{7}-3q^{9}+18q^{11}+\cdots\)
84.3.g.a \(12\) \(2.289\) 12.0.\(\cdots\).1 None None \(2\) \(0\) \(8\) \(0\) \(q-\beta _{9}q^{2}+\beta _{6}q^{3}+(\beta _{5}-\beta _{6})q^{4}+(1+\cdots)q^{5}+\cdots\)
84.3.h.a \(1\) \(2.289\) \(\Q\) \(\Q(\sqrt{-21}) \) None \(-2\) \(-3\) \(-4\) \(7\) \(q-2q^{2}-3q^{3}+4q^{4}-4q^{5}+6q^{6}+\cdots\)
84.3.h.b \(1\) \(2.289\) \(\Q\) \(\Q(\sqrt{-21}) \) None \(-2\) \(3\) \(4\) \(-7\) \(q-2q^{2}+3q^{3}+4q^{4}+4q^{5}-6q^{6}+\cdots\)
84.3.h.c \(1\) \(2.289\) \(\Q\) \(\Q(\sqrt{-21}) \) None \(2\) \(-3\) \(4\) \(7\) \(q+2q^{2}-3q^{3}+4q^{4}+4q^{5}-6q^{6}+\cdots\)
84.3.h.d \(1\) \(2.289\) \(\Q\) \(\Q(\sqrt{-21}) \) None \(2\) \(3\) \(-4\) \(-7\) \(q+2q^{2}+3q^{3}+4q^{4}-4q^{5}+6q^{6}+\cdots\)
84.3.h.e \(24\) \(2.289\) None None \(0\) \(0\) \(0\) \(0\)
84.3.j.a \(56\) \(2.289\) None None \(0\) \(0\) \(0\) \(0\)
84.3.l.a \(2\) \(2.289\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(3\) \(5\) \(-7\) \(q-2\zeta_{6}q^{2}+(2-\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
84.3.l.b \(2\) \(2.289\) \(\Q(\sqrt{-3}) \) None None \(4\) \(-3\) \(5\) \(7\) \(q+2q^{2}+(-2+\zeta_{6})q^{3}+4q^{4}+(5-5\zeta_{6})q^{5}+\cdots\)
84.3.l.c \(14\) \(2.289\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-3\) \(-21\) \(-5\) \(-19\) \(q+(-\beta _{1}-\beta _{4})q^{2}+(-1+\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
84.3.l.d \(14\) \(2.289\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(3\) \(21\) \(-5\) \(19\) \(q+(\beta _{4}+\beta _{9})q^{2}+(2-\beta _{2})q^{3}-\beta _{10}q^{4}+\cdots\)
84.3.m.a \(2\) \(2.289\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(3\) \(13\) \(q+(1+\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(5+3\zeta_{6})q^{7}+\cdots\)
84.3.m.b \(4\) \(2.289\) \(\Q(\sqrt{-3}, \sqrt{65})\) None None \(0\) \(-6\) \(-9\) \(2\) \(q+(-2+\beta _{1})q^{3}+(-2-\beta _{1}+\beta _{3})q^{5}+\cdots\)
84.3.p.a \(2\) \(2.289\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(11\) \(q+3\zeta_{6}q^{3}+(3+5\zeta_{6})q^{7}+(-9+9\zeta_{6})q^{9}+\cdots\)
84.3.p.b \(4\) \(2.289\) \(\Q(\sqrt{-3}, \sqrt{-5})\) None None \(0\) \(-4\) \(0\) \(22\) \(q+(\beta _{1}-2\beta _{2}-\beta _{3})q^{3}-3\beta _{1}q^{5}+(8+\cdots)q^{7}+\cdots\)
84.3.p.c \(4\) \(2.289\) \(\Q(\sqrt{-3}, \sqrt{-35})\) None None \(0\) \(1\) \(0\) \(-28\) \(q+\beta _{1}q^{3}+(\beta _{2}+2\beta _{3})q^{5}-7q^{7}+(9\beta _{2}+\cdots)q^{9}+\cdots\)
84.4.a.a \(1\) \(4.956\) \(\Q\) None None \(0\) \(-3\) \(6\) \(7\) \(+\) \(q-3q^{3}+6q^{5}+7q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
84.4.a.b \(1\) \(4.956\) \(\Q\) None None \(0\) \(3\) \(14\) \(-7\) \(+\) \(q+3q^{3}+14q^{5}-7q^{7}+9q^{9}+4q^{11}+\cdots\)
84.4.b.a \(12\) \(4.956\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(1\) \(-36\) \(0\) \(10\) \(q+\beta _{1}q^{2}-3q^{3}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{8}+\cdots)q^{5}+\cdots\)
84.4.b.b \(12\) \(4.956\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(1\) \(36\) \(0\) \(-10\) \(q+\beta _{1}q^{2}+3q^{3}+\beta _{2}q^{4}+(\beta _{1}+\beta _{8}+\cdots)q^{5}+\cdots\)
84.4.e.a \(36\) \(4.956\) None None \(0\) \(0\) \(0\) \(0\)
84.4.f.a \(8\) \(4.956\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(0\) \(-20\) \(q-\beta _{2}q^{3}-\beta _{5}q^{5}+(-3-\beta _{7})q^{7}+(-2+\cdots)q^{9}+\cdots\)
84.4.i.a \(4\) \(4.956\) \(\Q(\sqrt{-3}, \sqrt{193})\) None None \(0\) \(-6\) \(-11\) \(6\) \(q+(-3+3\beta _{2})q^{3}+(\beta _{1}-6\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
84.4.i.b \(4\) \(4.956\) \(\Q(\sqrt{-3}, \sqrt{-19})\) None None \(0\) \(6\) \(3\) \(-20\) \(q-3\beta _{2}q^{3}+(1+2\beta _{1}+2\beta _{2}-\beta _{3})q^{5}+\cdots\)
84.4.k.a \(2\) \(4.956\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-9\) \(0\) \(-17\) \(q+(-3-3\zeta_{6})q^{3}+(-18+19\zeta_{6})q^{7}+\cdots\)
84.4.k.b \(2\) \(4.956\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(9\) \(0\) \(37\) \(q+(3+3\zeta_{6})q^{3}+(18+\zeta_{6})q^{7}+3^{3}\zeta_{6}q^{9}+\cdots\)
84.4.k.c \(12\) \(4.956\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(-42\) \(q-\beta _{5}q^{3}-\beta _{9}q^{5}+(-1+2\beta _{1}-2\beta _{4}+\cdots)q^{7}+\cdots\)
84.4.n.a \(88\) \(4.956\) None None \(0\) \(0\) \(0\) \(0\)
84.4.o.a \(24\) \(4.956\) None None \(-1\) \(-36\) \(0\) \(10\)
84.4.o.b \(24\) \(4.956\) None None \(-1\) \(36\) \(0\) \(-10\)
84.5.c.a \(8\) \(8.683\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(-18\) \(0\) \(0\) \(q+(-2-\beta _{3})q^{3}+(\beta _{1}+\beta _{3})q^{5}+\beta _{2}q^{7}+\cdots\)
84.5.d.a \(6\) \(8.683\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(0\) \(0\) \(42\) \(q+\beta _{2}q^{3}+(\beta _{2}-\beta _{5})q^{5}+(7-\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots\)
84.5.g.a \(24\) \(8.683\) None None \(-6\) \(0\) \(-48\) \(0\)
84.5.h.a \(1\) \(8.683\) \(\Q\) \(\Q(\sqrt{-21}) \) None \(-4\) \(-9\) \(-34\) \(-49\) \(q-4q^{2}-9q^{3}+2^{4}q^{4}-34q^{5}+6^{2}q^{6}+\cdots\)
Next

Download all search results for