Learn more about

Refine search


Results (19 matches)

  Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1339.1.b.a \(1\) \(0.668\) \(\Q\) \(\Q(\sqrt{-103}) \), \(\Q(\sqrt{-1339}) \) \(\Q(\sqrt{13}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}+q^{9}+q^{13}+q^{16}-2q^{17}+\cdots\)
1339.1.b.b \(2\) \(0.668\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1339}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-\beta q^{5}+q^{9}+\beta q^{11}-q^{13}+\cdots\)
1339.1.b.c \(4\) \(0.668\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(-1+\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
1339.1.n.a \(2\) \(0.668\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-103}) \) None \(-2\) \(0\) \(0\) \(1\) \(q-\zeta_{6}q^{2}+3\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}-2q^{8}+\cdots\)
1339.1.n.b \(4\) \(0.668\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}^{4}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
1339.1.n.c \(8\) \(0.668\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-103}) \) None \(2\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{30}^{7}-\zeta_{30}^{13})q^{2}+(-\zeta_{30}^{5}+\cdots)q^{4}+\cdots\)
1339.1.t.a \(2\) \(0.668\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(-3\) \(q-\zeta_{6}q^{4}+(-1+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+\cdots\)
1339.1.t.b \(8\) \(0.668\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(3\) \(q+(-\zeta_{30}^{2}+\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{4}+\cdots)q^{4}+\cdots\)
1339.2.a.a \(1\) \(10.692\) \(\Q\) None None \(1\) \(-1\) \(1\) \(4\) \(+\) \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
1339.2.a.b \(1\) \(10.692\) \(\Q\) None None \(1\) \(0\) \(0\) \(-4\) \(-\) \(q+q^{2}-q^{4}-4q^{7}-3q^{8}-3q^{9}+6q^{11}+\cdots\)
1339.2.a.c \(3\) \(10.692\) 3.3.148.1 None None \(-1\) \(-1\) \(-7\) \(2\) \(+\) \(q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
1339.2.a.d \(19\) \(10.692\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(-9\) \(-2\) \(-18\) \(-8\) \(+\) \(q-\beta _{1}q^{2}-\beta _{14}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1339.2.a.e \(21\) \(10.692\) None None \(-1\) \(-6\) \(-18\) \(-2\) \(+\)
1339.2.a.f \(28\) \(10.692\) None None \(6\) \(5\) \(27\) \(6\) \(-\)
1339.2.a.g \(30\) \(10.692\) None None \(0\) \(5\) \(17\) \(2\) \(-\)
1339.4.a.a \(72\) \(79.004\) None None \(-1\) \(-19\) \(-73\) \(3\) \(-\)
1339.4.a.b \(73\) \(79.004\) None None \(-15\) \(-19\) \(-149\) \(-49\) \(-\)
1339.4.a.c \(80\) \(79.004\) None None \(-1\) \(17\) \(97\) \(3\) \(+\)
1339.4.a.d \(81\) \(79.004\) None None \(25\) \(17\) \(141\) \(63\) \(+\)
  Download to