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Results (displaying all 31 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2015.1.h.a \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-155}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{4}+\zeta_{8}^{2}q^{5}+q^{9}+\cdots\)
2015.1.h.b \(6\) \(1.006\) \(\Q(\zeta_{26})^+\) \(\Q(\sqrt{-2015}) \) None \(-1\) \(-1\) \(6\) \(-1\) \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2015.1.h.c \(6\) \(1.006\) \(\Q(\zeta_{26})^+\) \(\Q(\sqrt{-2015}) \) None \(-1\) \(1\) \(6\) \(-1\) \(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2015.1.h.d \(6\) \(1.006\) \(\Q(\zeta_{26})^+\) \(\Q(\sqrt{-2015}) \) None \(1\) \(-1\) \(-6\) \(1\) \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2015.1.h.e \(6\) \(1.006\) \(\Q(\zeta_{26})^+\) \(\Q(\sqrt{-2015}) \) None \(1\) \(1\) \(-6\) \(1\) \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2015.1.bf.a \(8\) \(1.006\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-155}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{5}+\zeta_{24}^{11})q^{3}+\zeta_{24}^{4}q^{4}-\zeta_{24}^{6}q^{5}+\cdots\)
2015.1.bq.a \(2\) \(1.006\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-155}) \) None \(0\) \(-2\) \(2\) \(0\) \(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+3\zeta_{6}^{2}q^{9}+\cdots\)
2015.1.bq.b \(2\) \(1.006\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-155}) \) None \(0\) \(2\) \(2\) \(0\) \(q+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+3\zeta_{6}^{2}q^{9}+\cdots\)
2015.1.bq.c \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
2015.1.bq.d \(4\) \(1.006\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-155}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{12}^{2}q^{4}-q^{5}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{5}q^{13}+\cdots\)
2015.1.bq.e \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
2015.2.a.a \(1\) \(16.090\) \(\Q\) None None \(-2\) \(-3\) \(1\) \(-4\) \(-\) \(q-2q^{2}-3q^{3}+2q^{4}+q^{5}+6q^{6}+\cdots\)
2015.2.a.b \(1\) \(16.090\) \(\Q\) None None \(0\) \(-2\) \(-1\) \(-4\) \(+\) \(q-2q^{3}-2q^{4}-q^{5}-4q^{7}+q^{9}+3q^{11}+\cdots\)
2015.2.a.c \(1\) \(16.090\) \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-2q^{4}-q^{5}+2q^{7}-2q^{9}-2q^{12}+\cdots\)
2015.2.a.d \(3\) \(16.090\) 3.3.316.1 None None \(0\) \(0\) \(-3\) \(0\) \(+\) \(q+\beta _{1}q^{3}-2q^{4}-q^{5}+(2+\beta _{2})q^{9}+\cdots\)
2015.2.a.e \(6\) \(16.090\) 6.6.2501557.1 None None \(0\) \(-1\) \(-6\) \(-1\) \(+\) \(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(2-\beta _{5})q^{4}-q^{5}+\cdots\)
2015.2.a.f \(7\) \(16.090\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-2\) \(-2\) \(-7\) \(-5\) \(+\) \(q+\beta _{3}q^{2}-\beta _{1}q^{3}+(1+\beta _{4})q^{4}-q^{5}+\cdots\)
2015.2.a.g \(8\) \(16.090\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(-2\) \(-1\) \(8\) \(-7\) \(+\) \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
2015.2.a.h \(8\) \(16.090\) 8.8.1299600812.1 None None \(0\) \(-3\) \(8\) \(-1\) \(+\) \(q+\beta _{2}q^{2}+\beta _{6}q^{3}+(1-\beta _{1}+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots\)
2015.2.a.i \(20\) \(16.090\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(3\) \(7\) \(-20\) \(1\) \(-\) \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2015.2.a.j \(20\) \(16.090\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(5\) \(1\) \(-20\) \(11\) \(-\) \(q+\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2015.2.a.k \(22\) \(16.090\) None None \(2\) \(3\) \(22\) \(3\) \(-\)
2015.2.a.l \(22\) \(16.090\) None None \(5\) \(4\) \(22\) \(5\) \(-\)
2015.4.a.a \(37\) \(118.889\) None None \(-9\) \(-17\) \(185\) \(-64\) \(-\)
2015.4.a.b \(37\) \(118.889\) None None \(-5\) \(1\) \(185\) \(-20\) \(-\)
2015.4.a.c \(40\) \(118.889\) None None \(-9\) \(1\) \(-200\) \(-64\) \(-\)
2015.4.a.d \(40\) \(118.889\) None None \(-5\) \(-17\) \(-200\) \(-20\) \(-\)
2015.4.a.e \(51\) \(118.889\) None None \(1\) \(7\) \(-255\) \(-6\) \(+\)
2015.4.a.f \(51\) \(118.889\) None None \(5\) \(13\) \(-255\) \(62\) \(+\)
2015.4.a.g \(52\) \(118.889\) None None \(1\) \(13\) \(260\) \(-6\) \(+\)
2015.4.a.h \(52\) \(118.889\) None None \(5\) \(7\) \(260\) \(62\) \(+\)


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