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Results (displaying all 38 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2009.1.i.a \(6\) \(1.003\) 6.0.64827.1 \(\Q(\sqrt{-287}) \) None \(1\) \(-1\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3}-\beta _{4}-\beta _{5})q^{3}+\cdots\)
2009.1.i.b \(6\) \(1.003\) 6.0.64827.1 \(\Q(\sqrt{-287}) \) None \(1\) \(1\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5})q^{3}+\cdots\)
2009.2.a.a \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None None \(-1\) \(1\) \(-1\) \(0\) \(+\) \(q-\beta q^{2}+(1-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
2009.2.a.b \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None None \(-1\) \(3\) \(1\) \(0\) \(-\) \(q-\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
2009.2.a.c \(2\) \(16.042\) \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-\beta q^{3}-2q^{4}+(1-\beta )q^{5}+\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
2009.2.a.d \(2\) \(16.042\) \(\Q(\sqrt{13}) \) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+\beta q^{3}-2q^{4}+(-1+\beta )q^{5}+\beta q^{9}+\cdots\)
2009.2.a.e \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None None \(1\) \(-2\) \(2\) \(0\) \(+\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
2009.2.a.f \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None None \(1\) \(2\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots\)
2009.2.a.g \(3\) \(16.042\) 3.3.148.1 None None \(-1\) \(0\) \(2\) \(0\) \(-\) \(q+(-\beta _{1}-\beta _{2})q^{2}-\beta _{2}q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
2009.2.a.h \(3\) \(16.042\) 3.3.257.1 None None \(0\) \(-3\) \(0\) \(0\) \(-\) \(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2009.2.a.i \(3\) \(16.042\) 3.3.257.1 None None \(0\) \(3\) \(0\) \(0\) \(+\) \(q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2009.2.a.j \(3\) \(16.042\) 3.3.257.1 None None \(1\) \(1\) \(-6\) \(0\) \(+\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.k \(3\) \(16.042\) \(\Q(\zeta_{14})^+\) None None \(4\) \(-5\) \(-2\) \(0\) \(-\) \(q+(1+\beta _{1})q^{2}+(-2+\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
2009.2.a.l \(5\) \(16.042\) 5.5.233489.1 None None \(-2\) \(-2\) \(2\) \(0\) \(+\) \(q-\beta _{2}q^{2}-\beta _{3}q^{3}+(1+\beta _{1})q^{4}+\beta _{3}q^{5}+\cdots\)
2009.2.a.m \(5\) \(16.042\) 5.5.233489.1 None None \(-2\) \(2\) \(-2\) \(0\) \(+\) \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots\)
2009.2.a.n \(5\) \(16.042\) 5.5.633117.1 None None \(-1\) \(-4\) \(5\) \(0\) \(+\) \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.o \(6\) \(16.042\) 6.6.185257757.1 None None \(-1\) \(4\) \(1\) \(0\) \(-\) \(q-\beta _{1}q^{2}+(1-\beta _{2})q^{3}+(1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
2009.2.a.p \(7\) \(16.042\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(-7\) \(-4\) \(0\) \(+\) \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
2009.2.a.q \(7\) \(16.042\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(7\) \(4\) \(0\) \(-\) \(q+\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
2009.2.a.r \(17\) \(16.042\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(3\) \(-1\) \(1\) \(0\) \(-\) \(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots\)
2009.2.a.s \(17\) \(16.042\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(3\) \(1\) \(-1\) \(0\) \(-\) \(q+\beta _{1}q^{2}-\beta _{12}q^{3}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}+\cdots\)
2009.2.a.t \(20\) \(16.042\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-2\) \(-8\) \(-8\) \(0\) \(+\) \(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{18}q^{5}+\cdots\)
2009.2.a.u \(20\) \(16.042\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-2\) \(8\) \(8\) \(0\) \(-\) \(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+\beta _{18}q^{5}+\cdots\)
2009.4.a.a \(1\) \(118.535\) \(\Q\) None None \(-1\) \(2\) \(12\) \(0\) \(+\) \(q-q^{2}+2q^{3}-7q^{4}+12q^{5}-2q^{6}+\cdots\)
2009.4.a.b \(3\) \(118.535\) 3.3.404.1 None None \(-3\) \(8\) \(10\) \(0\) \(-\) \(q+(-1+\beta _{1}-\beta _{2})q^{2}+(3+\beta _{1}-2\beta _{2})q^{3}+\cdots\)
2009.4.a.c \(7\) \(118.535\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(1\) \(-4\) \(-10\) \(0\) \(+\) \(q+\beta _{1}q^{2}+(-1-\beta _{4}+\beta _{6})q^{3}+(6+\beta _{1}+\cdots)q^{4}+\cdots\)
2009.4.a.d \(11\) \(118.535\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-3\) \(-3\) \(14\) \(0\) \(-\) \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
2009.4.a.e \(12\) \(118.535\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-4\) \(17\) \(14\) \(0\) \(+\) \(q-\beta _{1}q^{2}+(1-\beta _{5})q^{3}+(2+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
2009.4.a.f \(17\) \(118.535\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(6\) \(-11\) \(2\) \(0\) \(+\) \(q+\beta _{1}q^{2}+(-1+\beta _{7})q^{3}+(6+\beta _{2})q^{4}+\cdots\)
2009.4.a.g \(19\) \(118.535\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(4\) \(-13\) \(-26\) \(0\) \(-\) \(q+\beta _{1}q^{2}+(-1-\beta _{5})q^{3}+(5+\beta _{2})q^{4}+\cdots\)
2009.4.a.h \(30\) \(118.535\) None None \(1\) \(-12\) \(-20\) \(0\) \(-\)
2009.4.a.i \(30\) \(118.535\) None None \(1\) \(12\) \(20\) \(0\) \(+\)
2009.4.a.j \(36\) \(118.535\) None None \(-5\) \(-6\) \(4\) \(0\) \(-\)
2009.4.a.k \(36\) \(118.535\) None None \(-5\) \(6\) \(-4\) \(0\) \(-\)
2009.4.a.l \(44\) \(118.535\) None None \(3\) \(-6\) \(4\) \(0\) \(+\)
2009.4.a.m \(44\) \(118.535\) None None \(3\) \(6\) \(-4\) \(0\) \(+\)
2009.4.a.n \(60\) \(118.535\) None None \(2\) \(-24\) \(-40\) \(0\) \(-\)
2009.4.a.o \(60\) \(118.535\) None None \(2\) \(24\) \(40\) \(0\) \(+\)


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