Learn more about

Refine search

Results (displaying matches 1-50 of 236) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
378.2.a.a \(1\) \(3.018\) \(\Q\) None \(-1\) \(0\) \(-4\) \(-1\) \(-\) \(q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots\)
378.2.a.b \(1\) \(3.018\) \(\Q\) None \(-1\) \(0\) \(-3\) \(1\) \(+\) \(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
378.2.a.c \(1\) \(3.018\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
378.2.a.d \(1\) \(3.018\) \(\Q\) None \(-1\) \(0\) \(0\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{13}-q^{14}+\cdots\)
378.2.a.e \(1\) \(3.018\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{13}+q^{14}+\cdots\)
378.2.a.f \(1\) \(3.018\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
378.2.a.g \(1\) \(3.018\) \(\Q\) None \(1\) \(0\) \(3\) \(1\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
378.2.a.h \(1\) \(3.018\) \(\Q\) None \(1\) \(0\) \(4\) \(-1\) \(-\) \(q+q^{2}+q^{4}+4q^{5}-q^{7}+q^{8}+4q^{10}+\cdots\)
378.2.d.a \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(-10\) \(q-\zeta_{12}^{3}q^{2}-q^{4}+(-2\zeta_{12}+\zeta_{12}^{3})q^{5}+\cdots\)
378.2.d.b \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) \(q-\zeta_{12}q^{2}-q^{4}-\zeta_{12}^{3}q^{5}+(2-\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
378.2.d.c \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) \(q+\zeta_{12}q^{2}-q^{4}-2\zeta_{12}^{3}q^{5}+(2-\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
378.2.e.a \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(-3\) \(-4\) \(q-q^{2}+q^{4}+(-3+3\zeta_{6})q^{5}+(-3+\cdots)q^{7}+\cdots\)
378.2.e.b \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(3\) \(-4\) \(q+q^{2}+q^{4}+(3-3\zeta_{6})q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
378.2.e.c \(6\) \(3.018\) 6.0.309123.1 None \(-6\) \(0\) \(5\) \(4\) \(q-q^{2}+q^{4}+(2-2\beta _{4}+\beta _{5})q^{5}+(1+\cdots)q^{7}+\cdots\)
378.2.e.d \(6\) \(3.018\) 6.0.309123.1 None \(6\) \(0\) \(-1\) \(2\) \(q+q^{2}+q^{4}-\beta _{2}q^{5}+(\beta _{3}+\beta _{4}-\beta _{5})q^{7}+\cdots\)
378.2.f.a \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-3\) \(-1\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+\cdots\)
378.2.f.b \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(1\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots\)
378.2.f.c \(4\) \(3.018\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-2\) \(0\) \(3\) \(-2\) \(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
378.2.f.d \(4\) \(3.018\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(2\) \(0\) \(2\) \(2\) \(q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
378.2.g.a \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-3\) \(-4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots\)
378.2.g.b \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(-4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots\)
378.2.g.c \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(1\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots\)
378.2.g.d \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(1\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots\)
378.2.g.e \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-4\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots\)
378.2.g.f \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(3\) \(-4\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots\)
378.2.g.g \(4\) \(3.018\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-2\) \(0\) \(2\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
378.2.g.h \(4\) \(3.018\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(2\) \(0\) \(-2\) \(0\) \(q+(1+\beta _{2})q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
378.2.h.a \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-6\) \(5\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3q^{5}+(3+\cdots)q^{7}+\cdots\)
378.2.h.b \(2\) \(3.018\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(6\) \(-1\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+3q^{5}+(1-3\zeta_{6})q^{7}+\cdots\)
378.2.h.c \(6\) \(3.018\) 6.0.309123.1 None \(-3\) \(0\) \(2\) \(-4\) \(q+(-1+\beta _{4})q^{2}-\beta _{4}q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
378.2.h.d \(6\) \(3.018\) 6.0.309123.1 None \(3\) \(0\) \(-10\) \(-2\) \(q+\beta _{4}q^{2}+(-1+\beta _{4})q^{4}+(-2-\beta _{1}+\cdots)q^{5}+\cdots\)
378.2.k.a \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-1+3\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
378.2.k.b \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2\zeta_{12}+4\zeta_{12}^{3})q^{5}+\cdots\)
378.2.k.c \(4\) \(3.018\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-2\zeta_{12}^{3})q^{5}+\cdots\)
378.2.k.d \(8\) \(3.018\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(-8\) \(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{5}+\cdots\)
378.2.l.a \(16\) \(3.018\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(2\) \(q+(\beta _{1}+\beta _{7})q^{2}-q^{4}+(-\beta _{5}-\beta _{10}+\cdots)q^{5}+\cdots\)
378.2.m.a \(16\) \(3.018\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{7}q^{2}+(1+\beta _{5})q^{4}+(\beta _{6}+\beta _{8}-\beta _{15})q^{5}+\cdots\)
378.2.t.a \(16\) \(3.018\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(2\) \(q-\beta _{1}q^{2}+(1-\beta _{8})q^{4}+(-\beta _{12}-\beta _{14}+\cdots)q^{5}+\cdots\)
378.2.u.a \(6\) \(3.018\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(3\) \(0\) \(q-\zeta_{18}q^{2}+(\zeta_{18}-2\zeta_{18}^{4})q^{3}+\zeta_{18}^{2}q^{4}+\cdots\)
378.2.u.b \(12\) \(3.018\) 12.0.\(\cdots\).1 None \(0\) \(3\) \(0\) \(0\) \(q+\beta _{7}q^{2}+(-\beta _{2}+\beta _{4}+\beta _{5}-\beta _{10}+\cdots)q^{3}+\cdots\)
378.2.u.c \(24\) \(3.018\) None \(0\) \(-3\) \(3\) \(0\)
378.2.u.d \(30\) \(3.018\) None \(0\) \(-3\) \(3\) \(0\)
378.2.u.e \(36\) \(3.018\) None \(0\) \(3\) \(3\) \(0\)
378.2.v.a \(72\) \(3.018\) None \(0\) \(0\) \(0\) \(-6\)
378.2.v.b \(72\) \(3.018\) None \(0\) \(0\) \(0\) \(6\)
378.2.w.a \(72\) \(3.018\) None \(0\) \(0\) \(0\) \(-3\)
378.2.w.b \(72\) \(3.018\) None \(0\) \(0\) \(0\) \(3\)
378.2.z.a \(144\) \(3.018\) None \(0\) \(0\) \(0\) \(0\)
378.2.ba.a \(144\) \(3.018\) None \(0\) \(0\) \(0\) \(0\)
378.2.bf.a \(144\) \(3.018\) None \(0\) \(0\) \(0\) \(0\)
Next

Download all search results for