Learn more about

Refine search

Results (displaying matches 1-50 of 102) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3136.1.c.a \(4\) \(1.565\) 4.0.2048.2 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{5}+q^{9}-\beta _{1}q^{13}-\beta _{1}q^{17}+\cdots\)
3136.1.d.a \(1\) \(1.565\) \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{7}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}-q^{25}+2q^{29}+2q^{37}-2q^{53}+\cdots\)
3136.1.d.b \(2\) \(1.565\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}-q^{5}-iq^{11}-iq^{15}+q^{17}+\cdots\)
3136.1.d.c \(2\) \(1.565\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{5}+q^{9}+\beta q^{13}-\beta q^{17}+q^{25}+\cdots\)
3136.1.d.d \(2\) \(1.565\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) \(q-iq^{3}+q^{5}-iq^{11}-iq^{15}-q^{17}+\cdots\)
3136.1.g.a \(4\) \(1.565\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
3136.1.h.a \(8\) \(1.565\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+(1-\zeta_{16}^{2}+\zeta_{16}^{6}+\cdots)q^{9}+\cdots\)
3136.1.k.a \(2\) \(1.565\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{9}+(-1+i)q^{11}+q^{23}-iq^{25}+\cdots\)
3136.1.n.a \(16\) \(1.565\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{48}^{17}-\zeta_{48}^{23})q^{3}+(-\zeta_{48}^{10}+\cdots)q^{9}+\cdots\)
3136.1.o.a \(8\) \(1.565\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{5}+\zeta_{24}^{11})q^{3}+(-\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots\)
3136.1.r.a \(2\) \(1.565\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{7}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{25}+q^{29}-\zeta_{6}q^{37}+\cdots\)
3136.1.r.b \(4\) \(1.565\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{11}+\cdots\)
3136.1.r.c \(4\) \(1.565\) \(\Q(\sqrt{2}, \sqrt{-3})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}+\beta _{3})q^{5}+\beta _{2}q^{9}+\beta _{3}q^{13}-\beta _{1}q^{17}+\cdots\)
3136.1.s.a \(8\) \(1.565\) 8.0.339738624.1 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{5}+\beta _{4}q^{9}+\beta _{7}q^{13}+\beta _{3}q^{17}+\cdots\)
3136.1.z.a \(4\) \(1.565\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{9}+(\zeta_{12}^{2}+\zeta_{12}^{5})q^{11}+\zeta_{12}^{4}q^{23}+\cdots\)
3136.1.bc.a \(4\) \(1.565\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{9}+(-\zeta_{12}+\zeta_{12}^{4})q^{11}+\cdots\)
3136.1.bm.a \(8\) \(1.565\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}-\zeta_{16}q^{8}-\zeta_{16}q^{9}+\cdots\)
3136.1.ce.a \(16\) \(1.565\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{48}^{11}q^{2}+\zeta_{48}^{22}q^{4}+\zeta_{48}^{9}q^{8}+\cdots\)
3136.1.cf.a \(16\) \(1.565\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{13}q^{2}-\zeta_{48}^{2}q^{4}-\zeta_{48}^{15}q^{8}+\cdots\)
3136.2.a.a \(1\) \(25.041\) \(\Q\) None None \(0\) \(-3\) \(-1\) \(0\) \(+\) \(q-3q^{3}-q^{5}+6q^{9}-q^{11}+2q^{13}+\cdots\)
3136.2.a.b \(1\) \(25.041\) \(\Q\) None None \(0\) \(-3\) \(1\) \(0\) \(+\) \(q-3q^{3}+q^{5}+6q^{9}+q^{11}-2q^{13}+\cdots\)
3136.2.a.c \(1\) \(25.041\) \(\Q\) None None \(0\) \(-2\) \(-4\) \(0\) \(+\) \(q-2q^{3}-4q^{5}+q^{9}+8q^{15}+2q^{17}+\cdots\)
3136.2.a.d \(1\) \(25.041\) \(\Q\) None None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(q-2q^{3}-2q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
3136.2.a.e \(1\) \(25.041\) \(\Q\) None None \(0\) \(-2\) \(0\) \(0\) \(-\) \(q-2q^{3}+q^{9}-4q^{13}-6q^{17}+2q^{19}+\cdots\)
3136.2.a.f \(1\) \(25.041\) \(\Q\) None None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots\)
3136.2.a.g \(1\) \(25.041\) \(\Q\) None None \(0\) \(-2\) \(2\) \(0\) \(-\) \(q-2q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
3136.2.a.h \(1\) \(25.041\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(0\) \(+\) \(q-q^{3}-3q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
3136.2.a.i \(1\) \(25.041\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{3}-q^{5}-2q^{9}-3q^{11}-6q^{13}+\cdots\)
3136.2.a.j \(1\) \(25.041\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(-\) \(q-q^{3}+q^{5}-2q^{9}+3q^{11}+6q^{13}+\cdots\)
3136.2.a.k \(1\) \(25.041\) \(\Q\) None None \(0\) \(-1\) \(3\) \(0\) \(+\) \(q-q^{3}+3q^{5}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
3136.2.a.l \(1\) \(25.041\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(+\) \(q-4q^{5}-3q^{9}+4q^{13}+8q^{17}+11q^{25}+\cdots\)
3136.2.a.m \(1\) \(25.041\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-2q^{5}-3q^{9}+6q^{13}-2q^{17}-q^{25}+\cdots\)
3136.2.a.n \(1\) \(25.041\) \(\Q\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-3q^{9}-4q^{11}+8q^{23}-5q^{25}-2q^{29}+\cdots\)
3136.2.a.o \(1\) \(25.041\) \(\Q\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-3q^{9}+4q^{11}-8q^{23}-5q^{25}-2q^{29}+\cdots\)
3136.2.a.p \(1\) \(25.041\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+2q^{5}-3q^{9}-4q^{11}+2q^{13}+6q^{17}+\cdots\)
3136.2.a.q \(1\) \(25.041\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+2q^{5}-3q^{9}+4q^{11}+2q^{13}+6q^{17}+\cdots\)
3136.2.a.r \(1\) \(25.041\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(+\) \(q+4q^{5}-3q^{9}-4q^{13}-8q^{17}+11q^{25}+\cdots\)
3136.2.a.s \(1\) \(25.041\) \(\Q\) None None \(0\) \(1\) \(-3\) \(0\) \(-\) \(q+q^{3}-3q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
3136.2.a.t \(1\) \(25.041\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}-2q^{9}+3q^{11}-6q^{13}+\cdots\)
3136.2.a.u \(1\) \(25.041\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}-2q^{9}-3q^{11}+6q^{13}+\cdots\)
3136.2.a.v \(1\) \(25.041\) \(\Q\) None None \(0\) \(1\) \(3\) \(0\) \(-\) \(q+q^{3}+3q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots\)
3136.2.a.w \(1\) \(25.041\) \(\Q\) None None \(0\) \(2\) \(-4\) \(0\) \(-\) \(q+2q^{3}-4q^{5}+q^{9}-8q^{15}+2q^{17}+\cdots\)
3136.2.a.x \(1\) \(25.041\) \(\Q\) None None \(0\) \(2\) \(-2\) \(0\) \(-\) \(q+2q^{3}-2q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
3136.2.a.y \(1\) \(25.041\) \(\Q\) None None \(0\) \(2\) \(0\) \(0\) \(+\) \(q+2q^{3}+q^{9}-4q^{11}-4q^{13}+2q^{17}+\cdots\)
3136.2.a.z \(1\) \(25.041\) \(\Q\) None None \(0\) \(2\) \(0\) \(0\) \(+\) \(q+2q^{3}+q^{9}-4q^{13}-6q^{17}-2q^{19}+\cdots\)
3136.2.a.ba \(1\) \(25.041\) \(\Q\) None None \(0\) \(2\) \(2\) \(0\) \(-\) \(q+2q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
3136.2.a.bb \(1\) \(25.041\) \(\Q\) None None \(0\) \(3\) \(-1\) \(0\) \(-\) \(q+3q^{3}-q^{5}+6q^{9}+q^{11}+2q^{13}+\cdots\)
3136.2.a.bc \(1\) \(25.041\) \(\Q\) None None \(0\) \(3\) \(1\) \(0\) \(-\) \(q+3q^{3}+q^{5}+6q^{9}-q^{11}-2q^{13}+\cdots\)
3136.2.a.bd \(2\) \(25.041\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(q+(-1+\beta )q^{3}+(-1+2\beta )q^{5}-2\beta q^{9}+\cdots\)
3136.2.a.be \(2\) \(25.041\) \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(0\) \(-\) \(q+(-1+\beta )q^{3}+(1-2\beta )q^{5}-2\beta q^{9}+\cdots\)
Next

Download all search results for