Learn more

Refine search


Results (1-50 of 95 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1856.1.h.a \(1\) \(0.926\) \(\Q\) \(\Q(\sqrt{-29}) \) None \(0\) \(-1\) \(1\) \(0\) \(q-q^{3}+q^{5}-q^{11}+q^{13}-q^{15}+2q^{19}+\cdots\)
1856.1.h.b \(1\) \(0.926\) \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-29}) \) \(\Q(\sqrt{29}) \) \(0\) \(0\) \(-2\) \(0\) \(q-2q^{5}-q^{9}+2q^{13}+3q^{25}+q^{29}+\cdots\)
1856.1.h.c \(1\) \(0.926\) \(\Q\) \(\Q(\sqrt{-29}) \) None \(0\) \(1\) \(1\) \(0\) \(q+q^{3}+q^{5}+q^{11}+q^{13}+q^{15}-2q^{19}+\cdots\)
1856.1.h.d \(2\) \(0.926\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(2\) \(0\) \(q-\beta q^{3}+q^{5}+2q^{9}+\beta q^{11}-q^{13}+\cdots\)
1856.1.l.a \(2\) \(0.926\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{9}+iq^{13}+(1+i)q^{17}+q^{25}+\cdots\)
1856.1.l.b \(4\) \(0.926\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{5}+(\zeta_{8}-\zeta_{8}^{3})q^{7}+\cdots\)
1856.1.bd.a \(6\) \(0.926\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(\zeta_{14}+\zeta_{14}^{3})q^{5}-\zeta_{14}^{6}q^{9}+(\zeta_{14}^{4}+\cdots)q^{13}+\cdots\)
1856.1.bh.a \(6\) \(0.926\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(-\zeta_{14}^{4}-\zeta_{14}^{6})q^{5}-\zeta_{14}q^{9}+(-\zeta_{14}^{2}+\cdots)q^{13}+\cdots\)
1856.1.ca.a \(12\) \(0.926\) \(\Q(\zeta_{28})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{28}^{4}-\zeta_{28}^{12})q^{5}-\zeta_{28}^{3}q^{9}+(-\zeta_{28}^{9}+\cdots)q^{13}+\cdots\)
1856.2.a.a \(1\) \(14.820\) \(\Q\) None None \(0\) \(-3\) \(-3\) \(-4\) \(+\) \(q-3q^{3}-3q^{5}-4q^{7}+6q^{9}-q^{11}+\cdots\)
1856.2.a.b \(1\) \(14.820\) \(\Q\) None None \(0\) \(-3\) \(3\) \(2\) \(+\) \(q-3q^{3}+3q^{5}+2q^{7}+6q^{9}-q^{11}+\cdots\)
1856.2.a.c \(1\) \(14.820\) \(\Q\) None None \(0\) \(-2\) \(2\) \(4\) \(-\) \(q-2q^{3}+2q^{5}+4q^{7}+q^{9}+6q^{11}+\cdots\)
1856.2.a.d \(1\) \(14.820\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(-4\) \(-\) \(q-q^{3}-3q^{5}-4q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.e \(1\) \(14.820\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) \(-\) \(q-q^{3}-q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.f \(1\) \(14.820\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) \(+\) \(q-q^{3}-q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.g \(1\) \(14.820\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots\)
1856.2.a.h \(1\) \(14.820\) \(\Q\) None None \(0\) \(-1\) \(3\) \(-2\) \(+\) \(q-q^{3}+3q^{5}-2q^{7}-2q^{9}-3q^{11}+\cdots\)
1856.2.a.i \(1\) \(14.820\) \(\Q\) None None \(0\) \(1\) \(-3\) \(4\) \(+\) \(q+q^{3}-3q^{5}+4q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.j \(1\) \(14.820\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.k \(1\) \(14.820\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(-\) \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.l \(1\) \(14.820\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots\)
1856.2.a.m \(1\) \(14.820\) \(\Q\) None None \(0\) \(1\) \(3\) \(2\) \(-\) \(q+q^{3}+3q^{5}+2q^{7}-2q^{9}+3q^{11}+\cdots\)
1856.2.a.n \(1\) \(14.820\) \(\Q\) None None \(0\) \(2\) \(2\) \(-4\) \(+\) \(q+2q^{3}+2q^{5}-4q^{7}+q^{9}-6q^{11}+\cdots\)
1856.2.a.o \(1\) \(14.820\) \(\Q\) None None \(0\) \(3\) \(-3\) \(4\) \(-\) \(q+3q^{3}-3q^{5}+4q^{7}+6q^{9}+q^{11}+\cdots\)
1856.2.a.p \(1\) \(14.820\) \(\Q\) None None \(0\) \(3\) \(3\) \(-2\) \(-\) \(q+3q^{3}+3q^{5}-2q^{7}+6q^{9}+q^{11}+\cdots\)
1856.2.a.q \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(4\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}+2q^{7}-2\beta q^{9}+\cdots\)
1856.2.a.r \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(0\) \(+\) \(q+(-1+\beta )q^{3}+q^{5}+2\beta q^{7}-2\beta q^{9}+\cdots\)
1856.2.a.s \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(8\) \(-\) \(q+(-1+\beta )q^{3}+(1+2\beta )q^{5}+4q^{7}+\cdots\)
1856.2.a.t \(2\) \(14.820\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-6\) \(0\) \(+\) \(q-\beta q^{3}-3q^{5}+2q^{9}+\beta q^{11}-q^{13}+\cdots\)
1856.2.a.u \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(-4\) \(+\) \(q+(1+\beta )q^{3}-q^{5}-2q^{7}+2\beta q^{9}+(1+\cdots)q^{11}+\cdots\)
1856.2.a.v \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(2\) \(-8\) \(+\) \(q+(1+\beta )q^{3}+(1-2\beta )q^{5}-4q^{7}+2\beta q^{9}+\cdots\)
1856.2.a.w \(2\) \(14.820\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(2\) \(0\) \(-\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{7}+2\beta q^{9}+\cdots\)
1856.2.a.x \(3\) \(14.820\) 3.3.568.1 None None \(0\) \(-2\) \(-4\) \(0\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\cdots)q^{9}+\cdots\)
1856.2.a.y \(3\) \(14.820\) 3.3.568.1 None None \(0\) \(2\) \(-4\) \(0\) \(-\) \(q+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\beta _{2})q^{9}+\cdots\)
1856.2.a.z \(4\) \(14.820\) \(\Q(\zeta_{20})^+\) None None \(0\) \(0\) \(8\) \(0\) \(-\) \(q-\beta _{2}q^{3}+(2-\beta _{3})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
1856.2.a.ba \(5\) \(14.820\) 5.5.230224.1 None None \(0\) \(-4\) \(2\) \(4\) \(-\) \(q+(-1+\beta _{1})q^{3}-\beta _{4}q^{5}+(1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
1856.2.a.bb \(5\) \(14.820\) 5.5.230224.1 None None \(0\) \(4\) \(2\) \(-4\) \(-\) \(q+(1-\beta _{1})q^{3}-\beta _{4}q^{5}+(-1-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
1856.2.a.bc \(6\) \(14.820\) 6.6.68772992.1 None None \(0\) \(0\) \(-4\) \(0\) \(-\) \(q-\beta _{4}q^{3}+(-1-\beta _{3})q^{5}-\beta _{1}q^{7}+(2+\cdots)q^{9}+\cdots\)
1856.2.c.a \(8\) \(14.820\) 8.0.214798336.3 None None \(0\) \(0\) \(0\) \(-8\) \(q+\beta _{3}q^{3}+(\beta _{3}+\beta _{6})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
1856.2.c.b \(8\) \(14.820\) 8.0.214798336.3 None None \(0\) \(0\) \(0\) \(8\) \(q+\beta _{3}q^{3}+(-\beta _{3}-\beta _{6})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
1856.2.c.c \(20\) \(14.820\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(-16\) \(q+\beta _{13}q^{3}+\beta _{17}q^{5}+(-1+\beta _{8})q^{7}+\cdots\)
1856.2.c.d \(20\) \(14.820\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(16\) \(q+\beta _{13}q^{3}-\beta _{17}q^{5}+(1-\beta _{8})q^{7}+(-1+\cdots)q^{9}+\cdots\)
1856.2.e.a \(2\) \(14.820\) \(\Q(\sqrt{-7}) \) None None \(0\) \(0\) \(-2\) \(-4\) \(q-\beta q^{3}-q^{5}-2q^{7}-4q^{9}-\beta q^{11}+\cdots\)
1856.2.e.b \(2\) \(14.820\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(-4\) \(q+iq^{3}-q^{5}-2q^{7}+2q^{9}-5iq^{11}+\cdots\)
1856.2.e.c \(2\) \(14.820\) \(\Q(\sqrt{-7}) \) None None \(0\) \(0\) \(-2\) \(4\) \(q-\beta q^{3}-q^{5}+2q^{7}-4q^{9}-\beta q^{11}+\cdots\)
1856.2.e.d \(2\) \(14.820\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(4\) \(q+iq^{3}-q^{5}+2q^{7}+2q^{9}-5iq^{11}+\cdots\)
1856.2.e.e \(2\) \(14.820\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+2q^{5}+3q^{9}+6q^{13}+4iq^{17}-q^{25}+\cdots\)
1856.2.e.f \(2\) \(14.820\) \(\Q(\sqrt{-5}) \) None None \(0\) \(0\) \(6\) \(-4\) \(q+\beta q^{3}+3q^{5}-2q^{7}-2q^{9}-\beta q^{11}+\cdots\)
1856.2.e.g \(2\) \(14.820\) \(\Q(\sqrt{-5}) \) None None \(0\) \(0\) \(6\) \(4\) \(q+\beta q^{3}+3q^{5}+2q^{7}-2q^{9}-\beta q^{11}+\cdots\)
1856.2.e.h \(4\) \(14.820\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+2q^{9}+3\beta _{1}q^{11}+\cdots\)
Next   Download to