Learn more about

Refine search

Results (displaying matches 1-50 of at least 1000) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
11.2.a.a \(1\) \(0.088\) \(\Q\) None \(-2\) \(-1\) \(1\) \(-2\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots\)
13.2.e.a \(2\) \(0.104\) \(\Q(\sqrt{-3}) \) None \(-3\) \(-2\) \(0\) \(0\) \(q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
14.2.a.a \(1\) \(0.112\) \(\Q\) None \(-1\) \(-2\) \(0\) \(1\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots\)
15.2.a.a \(1\) \(0.120\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(-\) \(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots\)
16.2.e.a \(2\) \(0.128\) \(\Q(\sqrt{-1}) \) None \(-2\) \(-2\) \(-2\) \(0\) \(q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\cdots\)
17.2.a.a \(1\) \(0.136\) \(\Q\) None \(-1\) \(0\) \(-2\) \(4\) \(-\) \(q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
17.2.d.a \(4\) \(0.136\) \(\Q(\zeta_{8})\) None \(-4\) \(-4\) \(0\) \(-4\) \(q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots\)
18.2.c.a \(2\) \(0.144\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-3\) \(0\) \(-2\) \(q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
19.2.a.a \(1\) \(0.152\) \(\Q\) None \(0\) \(-2\) \(3\) \(-1\) \(-\) \(q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots\)
19.2.e.a \(6\) \(0.152\) \(\Q(\zeta_{18})\) None \(-6\) \(-3\) \(-6\) \(0\) \(q+(-1+\zeta_{18}-\zeta_{18}^{2})q^{2}+(-1+\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
20.2.a.a \(1\) \(0.160\) \(\Q\) None \(0\) \(-2\) \(-1\) \(2\) \(-\) \(q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots\)
20.2.e.a \(2\) \(0.160\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) \(-2\) \(0\) \(-4\) \(0\) \(q+(-1-i)q^{2}+2iq^{4}+(-2+i)q^{5}+\cdots\)
21.2.a.a \(1\) \(0.168\) \(\Q\) None \(-1\) \(1\) \(-2\) \(-1\) \(-\) \(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
21.2.e.a \(2\) \(0.168\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-1\) \(2\) \(-5\) \(q+(-2+2\zeta_{6})q^{2}-\zeta_{6}q^{3}-2\zeta_{6}q^{4}+\cdots\)
21.2.g.a \(2\) \(0.168\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) \(0\) \(-3\) \(0\) \(1\) \(q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{7}+\cdots\)
22.2.c.a \(4\) \(0.176\) \(\Q(\zeta_{10})\) None \(-1\) \(-4\) \(-6\) \(2\) \(q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots\)
23.2.a.a \(2\) \(0.184\) \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(-2\) \(2\) \(-\) \(q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
23.2.c.a \(10\) \(0.184\) \(\Q(\zeta_{22})\) None \(-7\) \(-7\) \(-3\) \(-5\) \(q+(-\zeta_{22}+\zeta_{22}^{4}-\zeta_{22}^{5}+\zeta_{22}^{6}+\cdots)q^{2}+\cdots\)
24.2.a.a \(1\) \(0.192\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
24.2.d.a \(2\) \(0.192\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(-4\) \(q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots\)
24.2.f.a \(2\) \(0.192\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) \(0\) \(-2\) \(0\) \(0\) \(q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots\)
25.2.d.a \(4\) \(0.200\) \(\Q(\zeta_{10})\) None \(-2\) \(-1\) \(-5\) \(-2\) \(q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots\)
25.2.e.a \(8\) \(0.200\) 8.0.58140625.2 None \(-5\) \(-5\) \(0\) \(0\) \(q+(-1+\beta _{7})q^{2}+(-1-\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
26.2.a.a \(1\) \(0.208\) \(\Q\) None \(-1\) \(1\) \(-3\) \(-1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
26.2.a.b \(1\) \(0.208\) \(\Q\) None \(1\) \(-3\) \(-1\) \(1\) \(-\) \(q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
26.2.b.a \(2\) \(0.208\) \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+iq^{2}-q^{3}-q^{4}-3iq^{5}-iq^{6}+\cdots\)
26.2.c.a \(2\) \(0.208\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-2\) \(-4\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}-4\zeta_{6}q^{7}+\cdots\)
27.2.a.a \(1\) \(0.216\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-1\) \(-\) \(q-2q^{4}-q^{7}+5q^{13}+4q^{16}-7q^{19}+\cdots\)
27.2.e.a \(12\) \(0.216\) 12.0.\(\cdots\).1 None \(-6\) \(-6\) \(-3\) \(-6\) \(q+(-1+\beta _{4}-\beta _{9})q^{2}+(-1-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots\)
28.2.d.a \(2\) \(0.224\) \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{-7}) \) \(-1\) \(0\) \(0\) \(0\) \(q-\beta q^{2}+(-2+\beta )q^{4}+(-1+2\beta )q^{7}+\cdots\)
28.2.e.a \(2\) \(0.224\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(-3\) \(-4\) \(q-\zeta_{6}q^{3}+(-3+3\zeta_{6})q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
28.2.f.a \(4\) \(0.224\) \(\Q(\zeta_{12})\) None \(-2\) \(0\) \(-6\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(\zeta_{12}+\cdots)q^{3}+\cdots\)
29.2.a.a \(2\) \(0.232\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) \(-\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-2\beta )q^{4}+\cdots\)
29.2.b.a \(2\) \(0.232\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-6\) \(4\) \(q+\beta q^{2}-\beta q^{3}-3q^{4}-3q^{5}+5q^{6}+\cdots\)
29.2.d.a \(6\) \(0.232\) \(\Q(\zeta_{14})\) None \(-2\) \(-5\) \(1\) \(1\) \(q+(-1+\zeta_{14}+\zeta_{14}^{3}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{2}+\cdots\)
29.2.e.a \(12\) \(0.232\) 12.0.\(\cdots\).1 None \(-7\) \(-7\) \(-1\) \(-11\) \(q+(-1+\beta _{1}+\beta _{7}+\beta _{9}+\beta _{10})q^{2}+\cdots\)
30.2.a.a \(1\) \(0.240\) \(\Q\) None \(-1\) \(1\) \(-1\) \(-4\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots\)
30.2.c.a \(2\) \(0.240\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
30.2.e.a \(4\) \(0.240\) \(\Q(\zeta_{8})\) None \(0\) \(-4\) \(0\) \(-4\) \(q+\zeta_{8}q^{2}+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
31.2.a.a \(2\) \(0.248\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(2\) \(-4\) \(-\) \(q+\beta q^{2}-2\beta q^{3}+(-1+\beta )q^{4}+q^{5}+\cdots\)
31.2.c.a \(4\) \(0.248\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(-4\) \(2\) \(-2\) \(-2\) \(q+(-1+\beta _{3})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
31.2.d.a \(4\) \(0.248\) \(\Q(\zeta_{10})\) None \(-3\) \(1\) \(-6\) \(-3\) \(q+(-1-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
31.2.g.a \(16\) \(0.248\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-6\) \(-12\) \(-3\) \(2\) \(q+(-1-\beta _{3}+\beta _{4}-\beta _{5}-\beta _{7}-\beta _{8}+\cdots)q^{2}+\cdots\)
32.2.a.a \(1\) \(0.256\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-2q^{5}-3q^{9}+6q^{13}+2q^{17}-q^{25}+\cdots\)
32.2.g.a \(4\) \(0.256\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(-4\) \(4\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+(\zeta_{8}+\zeta_{8}^{2})q^{3}+\cdots\)
32.2.g.b \(8\) \(0.256\) 8.0.18939904.2 None \(-4\) \(-4\) \(0\) \(-8\) \(q-\beta _{7}q^{2}+(\beta _{1}+\beta _{3}+\beta _{5}+\beta _{6})q^{3}+\cdots\)
33.2.a.a \(1\) \(0.264\) \(\Q\) None \(1\) \(-1\) \(-2\) \(4\) \(-\) \(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
33.2.d.a \(2\) \(0.264\) \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{-11}) \) \(0\) \(1\) \(0\) \(0\) \(q+\beta q^{3}-2q^{4}+(1-2\beta )q^{5}+(-3+\beta )q^{9}+\cdots\)
33.2.e.a \(4\) \(0.264\) \(\Q(\zeta_{10})\) None \(-3\) \(-1\) \(-1\) \(-3\) \(q+(-1-\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(\zeta_{10}+\cdots)q^{4}+\cdots\)
33.2.e.b \(4\) \(0.264\) \(\Q(\zeta_{10})\) None \(-1\) \(1\) \(-3\) \(1\) \(q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+\cdots\)
Next

In order to download results, determine the number of results.