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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1260.1.p.a \(1\) \(0.629\) \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(-1\) \(1\) \(q-q^{5}+q^{7}+q^{11}-q^{13}+q^{17}+q^{25}+\cdots\)
1260.1.p.b \(1\) \(0.629\) \(\Q\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(1\) \(-1\) \(q+q^{5}-q^{7}+q^{11}+q^{13}-q^{17}+q^{25}+\cdots\)
1260.1.u.a \(4\) \(0.629\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-q^{5}+\zeta_{8}q^{7}+\cdots\)
1260.1.u.b \(4\) \(0.629\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+q^{5}-\zeta_{8}q^{7}+\cdots\)
1260.1.bj.a \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-1\) \(-1\) \(2\) \(-1\) \(q-\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
1260.1.bj.b \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-1\) \(2\) \(2\) \(-1\) \(q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}q^{6}+\cdots\)
1260.1.bj.c \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(1\) \(-2\) \(2\) \(1\) \(q+\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}q^{6}+\cdots\)
1260.1.bj.d \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(1\) \(1\) \(2\) \(1\) \(q+\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
1260.1.bp.a \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{5}q^{2}+\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{4}q^{5}+\cdots\)
1260.1.bp.b \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{4}q^{5}+\cdots\)
1260.1.br.a \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
1260.1.br.b \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
1260.1.bt.a \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q-\zeta_{6}q^{3}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
1260.1.bt.b \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
1260.1.bt.c \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(1\) \(q+\zeta_{6}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
1260.1.bt.d \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(1\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
1260.1.cf.a \(8\) \(0.629\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{5}-\zeta_{24}^{10}q^{7}-\zeta_{24}^{6}q^{13}+\cdots\)
1260.1.ci.a \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-1\) \(0\) \(1\) \(1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots\)
1260.1.ci.b \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(1\) \(0\) \(1\) \(-1\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots\)
1260.1.cw.a \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-2\) \(1\) \(-1\) \(-2\) \(q-q^{2}+\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots\)
1260.1.cw.b \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(-2\) \(1\) \(-1\) \(1\) \(q-q^{2}-\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
1260.1.cw.c \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(2\) \(-1\) \(-1\) \(-1\) \(q+q^{2}+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
1260.1.cw.d \(2\) \(0.629\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-5}) \) None \(2\) \(-1\) \(-1\) \(2\) \(q+q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots\)
1260.1.de.a \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
1260.1.de.b \(4\) \(0.629\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
1260.1.eb.a \(8\) \(0.629\) \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{4}q^{2}+\zeta_{24}^{3}q^{3}+\zeta_{24}^{8}q^{4}+\cdots\)
1260.1.eb.b \(8\) \(0.629\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{10}q^{2}+\zeta_{24}^{3}q^{3}-\zeta_{24}^{8}q^{4}+\cdots\)
1260.2.a.a \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{5}-q^{7}-2q^{11}+4q^{13}-2q^{17}+\cdots\)
1260.2.a.b \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{5}-q^{7}+4q^{11}+2q^{17}-6q^{19}+\cdots\)
1260.2.a.c \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}-3q^{11}-q^{13}+3q^{17}+\cdots\)
1260.2.a.d \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}-4q^{13}-6q^{17}+2q^{19}+\cdots\)
1260.2.a.e \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}+2q^{11}+4q^{13}-2q^{17}+\cdots\)
1260.2.a.f \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{5}-q^{7}-4q^{11}-2q^{17}-6q^{19}+\cdots\)
1260.2.a.g \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}-2q^{11}+4q^{13}-6q^{17}+\cdots\)
1260.2.a.h \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}+5q^{11}-3q^{13}+q^{17}+\cdots\)
1260.2.a.i \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-6q^{11}-4q^{13}-6q^{17}+\cdots\)
1260.2.a.j \(1\) \(10.061\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(-\) \(q+q^{5}+q^{7}-4q^{13}+6q^{17}+2q^{19}+\cdots\)
1260.2.c.a \(4\) \(10.061\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(0\) \(q+(1+\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{4}+\cdots\)
1260.2.c.b \(4\) \(10.061\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(0\) \(q+(1+\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{4}+\cdots\)
1260.2.c.c \(8\) \(10.061\) 8.0.342102016.5 None None \(-2\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{4}-\beta _{5})q^{4}+\beta _{2}q^{5}+\cdots\)
1260.2.c.d \(16\) \(10.061\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-2\) \(0\) \(0\) \(-4\) \(q+\beta _{4}q^{2}+\beta _{8}q^{4}+\beta _{3}q^{5}+(-\beta _{9}-\beta _{10}+\cdots)q^{7}+\cdots\)
1260.2.c.e \(16\) \(10.061\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-2\) \(0\) \(0\) \(4\) \(q+\beta _{4}q^{2}+\beta _{8}q^{4}-\beta _{3}q^{5}-\beta _{15}q^{7}+\cdots\)
1260.2.c.f \(32\) \(10.061\) None None \(0\) \(0\) \(0\) \(0\)
1260.2.d.a \(4\) \(10.061\) \(\Q(\sqrt{-2}, \sqrt{5})\) None None \(0\) \(0\) \(-4\) \(0\) \(q-q^{5}+(-\beta _{1}+\beta _{3})q^{7}-\beta _{1}q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots\)
1260.2.d.b \(4\) \(10.061\) \(\Q(\sqrt{-2}, \sqrt{5})\) None None \(0\) \(0\) \(4\) \(0\) \(q+q^{5}+(\beta _{1}+\beta _{3})q^{7}-\beta _{1}q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
1260.2.f.a \(8\) \(10.061\) 8.0.\(\cdots\).11 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{5}+\beta _{5}q^{7}+(\beta _{5}+\beta _{6})q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots\)
1260.2.f.b \(8\) \(10.061\) 8.0.\(\cdots\).11 None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\beta _{7})q^{5}+\cdots\)
1260.2.k.a \(2\) \(10.061\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q+(-2-i)q^{5}-iq^{7}-4q^{11}+2iq^{13}+\cdots\)
1260.2.k.b \(2\) \(10.061\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+(-1-2i)q^{5}+iq^{7}-4iq^{13}-4iq^{17}+\cdots\)
1260.2.k.c \(2\) \(10.061\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+(2+i)q^{5}+iq^{7}-3q^{11}-iq^{13}+\cdots\)
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