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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2520.1.b.a \(4\) \(1.258\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}-q^{5}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.b.b \(4\) \(1.258\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+q^{5}-\zeta_{8}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.h.a \(1\) \(1.258\) \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(-1\) \(0\) \(-1\) \(-1\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2520.1.h.b \(1\) \(1.258\) \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(-1\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2520.1.h.c \(1\) \(1.258\) \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(1\) \(0\) \(-1\) \(1\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2520.1.h.d \(1\) \(1.258\) \(\Q\) \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) \(\Q(\sqrt{105}) \) \(1\) \(0\) \(1\) \(-1\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2520.1.h.e \(4\) \(1.258\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
2520.1.ef.a \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\cdots\)
2520.1.ef.b \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(2\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
2520.1.ef.c \(4\) \(1.258\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ef.d \(4\) \(1.258\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ek.a \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(-1\) \(0\) \(1\) \(-1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.ek.b \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(-1\) \(0\) \(2\) \(1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+q^{8}+\cdots\)
2520.1.ek.c \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(1\) \(0\) \(-2\) \(1\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}-q^{8}+\cdots\)
2520.1.ek.d \(2\) \(1.258\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-6}) \) None \(1\) \(0\) \(-1\) \(-1\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.eq.a \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.eq.b \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.fw.a \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.fw.b \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.hf.a \(16\) \(1.258\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.hf.b \(16\) \(1.258\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.ik.a \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
2520.1.ik.b \(8\) \(1.258\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
2520.2.a.a \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{5}-q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.b \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{5}-q^{7}-4q^{11}+6q^{13}+4q^{17}+\cdots\)
2520.2.a.c \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.d \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{5}-q^{7}+2q^{13}-2q^{17}+q^{25}+\cdots\)
2520.2.a.e \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{5}-q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots\)
2520.2.a.f \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{5}-q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.g \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.h \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}+2q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.i \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}+5q^{11}-5q^{13}+7q^{17}+\cdots\)
2520.2.a.j \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.k \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.l \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
2520.2.a.m \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
2520.2.a.n \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.o \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}+4q^{11}+6q^{13}-4q^{17}+\cdots\)
2520.2.a.p \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots\)
2520.2.a.q \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
2520.2.a.r \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
2520.2.a.s \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(-\) \(q+q^{5}+q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2520.2.a.t \(1\) \(20.122\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(-\) \(q+q^{5}+q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
2520.2.a.u \(2\) \(20.122\) \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q-q^{5}+q^{7}+(-1-\beta )q^{11}+2q^{13}+\cdots\)
2520.2.a.v \(2\) \(20.122\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q-q^{5}+q^{7}+\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
2520.2.a.w \(2\) \(20.122\) \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-q^{5}+q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
2520.2.a.x \(2\) \(20.122\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(2\) \(-2\) \(+\) \(q+q^{5}-q^{7}+(-3-\beta )q^{11}+(1+\beta )q^{13}+\cdots\)
2520.2.a.y \(2\) \(20.122\) \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+q^{5}+q^{7}+(1+\beta )q^{11}+2q^{13}+(1+\cdots)q^{17}+\cdots\)
2520.2.e.a \(48\) \(20.122\) None None \(-4\) \(0\) \(48\) \(0\)
2520.2.e.b \(48\) \(20.122\) None None \(4\) \(0\) \(-48\) \(0\)
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