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Results (displaying all 19 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 151
6040.2.a.a \(1\) \(48.230\) \(\Q\) None \(0\) \(-3\) \(1\) \(-4\) \(-\) \(-\) \(-\) \(q-3q^{3}+q^{5}-4q^{7}+6q^{9}-q^{11}+\cdots\)
6040.2.a.b \(1\) \(48.230\) \(\Q\) None \(0\) \(-2\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{3}-q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots\)
6040.2.a.c \(1\) \(48.230\) \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) \(-\) \(-\) \(-\) \(q-q^{3}+q^{5}-4q^{7}-2q^{9}-5q^{11}+\cdots\)
6040.2.a.d \(1\) \(48.230\) \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
6040.2.a.e \(1\) \(48.230\) \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{5}-q^{7}-3q^{9}+5q^{11}-q^{13}+\cdots\)
6040.2.a.f \(1\) \(48.230\) \(\Q\) None \(0\) \(0\) \(-1\) \(2\) \(+\) \(+\) \(+\) \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
6040.2.a.g \(1\) \(48.230\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q+q^{3}-q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots\)
6040.2.a.h \(1\) \(48.230\) \(\Q\) None \(0\) \(1\) \(1\) \(4\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-3q^{11}+\cdots\)
6040.2.a.i \(1\) \(48.230\) \(\Q\) None \(0\) \(1\) \(1\) \(4\) \(+\) \(-\) \(+\) \(q+q^{3}+q^{5}+4q^{7}-2q^{9}+4q^{11}+\cdots\)
6040.2.a.j \(1\) \(48.230\) \(\Q\) None \(0\) \(2\) \(-1\) \(2\) \(-\) \(+\) \(-\) \(q+2q^{3}-q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
6040.2.a.k \(2\) \(48.230\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(-1\) \(-\) \(-\) \(+\) \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
6040.2.a.l \(9\) \(48.230\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(0\) \(9\) \(-2\) \(-\) \(-\) \(+\) \(q-\beta _{7}q^{3}+q^{5}+(\beta _{1}+\beta _{4})q^{7}-\beta _{5}q^{9}+\cdots\)
6040.2.a.m \(12\) \(48.230\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(3\) \(-12\) \(5\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{3}-q^{5}+\beta _{9}q^{7}+(1-\beta _{3}+\beta _{10}+\cdots)q^{9}+\cdots\)
6040.2.a.n \(13\) \(48.230\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(-4\) \(-13\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{3}-q^{5}-\beta _{7}q^{7}+\beta _{2}q^{9}+(-1+\cdots)q^{11}+\cdots\)
6040.2.a.o \(15\) \(48.230\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(5\) \(15\) \(7\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}-\beta _{4}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6040.2.a.p \(19\) \(48.230\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(-5\) \(19\) \(-8\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{3}+q^{5}+\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6040.2.a.q \(23\) \(48.230\) None \(0\) \(-4\) \(-23\) \(-9\) \(+\) \(+\) \(+\)
6040.2.a.r \(23\) \(48.230\) None \(0\) \(2\) \(-23\) \(3\) \(-\) \(+\) \(+\)
6040.2.a.s \(24\) \(48.230\) None \(0\) \(2\) \(24\) \(3\) \(-\) \(-\) \(-\)


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