Learn more

Refine search


Results (1-50 of 130 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1520.1.m.a \(1\) \(0.759\) \(\Q\) \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{5}-q^{9}+2q^{11}-q^{19}+q^{25}+\cdots\)
1520.1.m.b \(2\) \(0.759\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\beta q^{3}-q^{5}+q^{9}-\beta q^{13}+\beta q^{15}+\cdots\)
1520.1.m.c \(2\) \(0.759\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{9}-q^{11}+\cdots\)
1520.1.ba.a \(2\) \(0.759\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(-2\) \(q-q^{5}+(-1-i)q^{7}-iq^{9}+iq^{11}+\cdots\)
1520.1.ba.b \(2\) \(0.759\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(2\) \(q-q^{5}+(1+i)q^{7}-iq^{9}-iq^{11}+(-1+\cdots)q^{17}+\cdots\)
1520.1.ba.c \(4\) \(0.759\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(-2\) \(q+\zeta_{12}^{2}q^{5}+(-\zeta_{12}-\zeta_{12}^{2})q^{7}-\zeta_{12}^{3}q^{9}+\cdots\)
1520.1.ba.d \(4\) \(0.759\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(2\) \(q+\zeta_{12}^{2}q^{5}+(-\zeta_{12}+\zeta_{12}^{2})q^{7}+\zeta_{12}^{3}q^{9}+\cdots\)
1520.1.bh.a \(4\) \(0.759\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{5}+\cdots\)
1520.1.bh.b \(4\) \(0.759\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(4\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}+q^{5}+\cdots\)
1520.1.bh.c \(16\) \(0.759\) \(\Q(\zeta_{32})\) \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+(\zeta_{32}-\zeta_{32}^{7})q^{3}+\zeta_{32}^{6}q^{4}+\cdots\)
1520.1.br.a \(2\) \(0.759\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}-q^{11}-\zeta_{6}^{2}q^{19}+\cdots\)
1520.1.bu.a \(2\) \(0.759\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+(\zeta_{6}+\zeta_{6}^{2})q^{11}+\cdots\)
1520.1.bu.b \(2\) \(0.759\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{9}+(-\zeta_{6}-\zeta_{6}^{2})q^{11}+\cdots\)
1520.1.cr.a \(4\) \(0.759\) \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{4})q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{9}+\cdots\)
1520.1.cr.b \(4\) \(0.759\) \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(2\) \(0\) \(q+(\zeta_{12}-\zeta_{12}^{4})q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{5}q^{9}+\cdots\)
1520.2.a.a \(1\) \(12.137\) \(\Q\) None None \(0\) \(-3\) \(1\) \(1\) \(+\) \(q-3q^{3}+q^{5}+q^{7}+6q^{9}-4q^{11}+\cdots\)
1520.2.a.b \(1\) \(12.137\) \(\Q\) None None \(0\) \(-2\) \(-1\) \(-2\) \(+\) \(q-2q^{3}-q^{5}-2q^{7}+q^{9}+6q^{13}+\cdots\)
1520.2.a.c \(1\) \(12.137\) \(\Q\) None None \(0\) \(-2\) \(1\) \(-4\) \(+\) \(q-2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
1520.2.a.d \(1\) \(12.137\) \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{3}+q^{5}+q^{7}-2q^{9}-q^{13}-q^{15}+\cdots\)
1520.2.a.e \(1\) \(12.137\) \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) \(-\) \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots\)
1520.2.a.f \(1\) \(12.137\) \(\Q\) None None \(0\) \(0\) \(1\) \(0\) \(+\) \(q+q^{5}-3q^{9}+4q^{11}-6q^{13}-6q^{17}+\cdots\)
1520.2.a.g \(1\) \(12.137\) \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) \(+\) \(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{13}-q^{15}+\cdots\)
1520.2.a.h \(1\) \(12.137\) \(\Q\) None None \(0\) \(2\) \(1\) \(-4\) \(+\) \(q+2q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
1520.2.a.i \(1\) \(12.137\) \(\Q\) None None \(0\) \(2\) \(1\) \(0\) \(-\) \(q+2q^{3}+q^{5}+q^{9}+4q^{11}+4q^{13}+\cdots\)
1520.2.a.j \(1\) \(12.137\) \(\Q\) None None \(0\) \(3\) \(-1\) \(5\) \(-\) \(q+3q^{3}-q^{5}+5q^{7}+6q^{9}+4q^{11}+\cdots\)
1520.2.a.k \(2\) \(12.137\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}+(1-2\beta )q^{9}-2q^{11}+\cdots\)
1520.2.a.l \(2\) \(12.137\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(2\) \(-4\) \(+\) \(q+(-1+\beta )q^{3}+q^{5}-2q^{7}+(1-2\beta )q^{9}+\cdots\)
1520.2.a.m \(2\) \(12.137\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q+\beta q^{3}-q^{5}+2\beta q^{7}-q^{9}+(-2+2\beta )q^{11}+\cdots\)
1520.2.a.n \(2\) \(12.137\) \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+\beta q^{3}+q^{5}+\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
1520.2.a.o \(2\) \(12.137\) \(\Q(\sqrt{2}) \) None None \(0\) \(4\) \(2\) \(4\) \(-\) \(q+(2+\beta )q^{3}+q^{5}+(2-2\beta )q^{7}+(3+4\beta )q^{9}+\cdots\)
1520.2.a.p \(3\) \(12.137\) 3.3.148.1 None None \(0\) \(-2\) \(3\) \(0\) \(-\) \(q+(-1+\beta _{1})q^{3}+q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1520.2.a.q \(3\) \(12.137\) 3.3.316.1 None None \(0\) \(1\) \(-3\) \(1\) \(+\) \(q+\beta _{1}q^{3}-q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
1520.2.a.r \(3\) \(12.137\) 3.3.568.1 None None \(0\) \(1\) \(-3\) \(5\) \(-\) \(q+\beta _{1}q^{3}-q^{5}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
1520.2.a.s \(3\) \(12.137\) 3.3.229.1 None None \(0\) \(1\) \(3\) \(1\) \(-\) \(q-\beta _{2}q^{3}+q^{5}-\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots\)
1520.2.a.t \(4\) \(12.137\) 4.4.11344.1 None None \(0\) \(-2\) \(-4\) \(-4\) \(-\) \(q+\beta _{2}q^{3}-q^{5}+(-1+\beta _{1})q^{7}+(2-\beta _{3})q^{9}+\cdots\)
1520.2.d.a \(2\) \(12.137\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}+(-1-i)q^{5}+iq^{7}-q^{9}+\cdots\)
1520.2.d.b \(2\) \(12.137\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+(-1-i)q^{5}-iq^{7}+3q^{9}+4q^{11}+\cdots\)
1520.2.d.c \(4\) \(12.137\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1520.2.d.d \(4\) \(12.137\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
1520.2.d.e \(4\) \(12.137\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
1520.2.d.f \(4\) \(12.137\) \(\Q(\sqrt{-2}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)
1520.2.d.g \(4\) \(12.137\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{8}^{2}q^{3}+(1-\zeta_{8})q^{5}+(-\zeta_{8}-2\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
1520.2.d.h \(6\) \(12.137\) 6.0.16516096.1 None None \(0\) \(0\) \(-1\) \(0\) \(q-\beta _{4}q^{3}+\beta _{3}q^{5}+(\beta _{1}+\beta _{4})q^{7}+(-3+\cdots)q^{9}+\cdots\)
1520.2.d.i \(6\) \(12.137\) 6.0.14077504.2 None None \(0\) \(0\) \(-1\) \(0\) \(q+\beta _{2}q^{3}+\beta _{5}q^{5}+(-\beta _{3}-\beta _{4})q^{7}+\cdots\)
1520.2.d.j \(6\) \(12.137\) 6.0.5161984.1 None None \(0\) \(0\) \(2\) \(0\) \(q+\beta _{5}q^{3}+(\beta _{2}+\beta _{3})q^{5}+(-\beta _{4}+\beta _{5})q^{7}+\cdots\)
1520.2.d.k \(12\) \(12.137\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(6\) \(0\) \(q-\beta _{11}q^{3}-\beta _{6}q^{5}+(\beta _{5}+\beta _{11})q^{7}+\cdots\)
1520.2.g.a \(2\) \(12.137\) \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(-6\) \(q-\beta q^{5}-3q^{7}+3q^{9}+(1-2\beta )q^{11}+\cdots\)
1520.2.g.b \(2\) \(12.137\) \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(6\) \(q+(-1+\beta )q^{5}+3q^{7}+3q^{9}+(1-2\beta )q^{11}+\cdots\)
1520.2.g.c \(4\) \(12.137\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(-6\) \(q-\beta _{3}q^{5}+(-2-\beta _{1}-\beta _{3})q^{7}+3q^{9}+\cdots\)
1520.2.g.d \(4\) \(12.137\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(6\) \(q-\beta _{1}q^{5}+(2+\beta _{1}+\beta _{3})q^{7}+3q^{9}+\cdots\)
Next   Download to