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Results (31 matches)

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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7 23
4025.2.a.a $1$ $32.140$ \(\Q\) None \(-2\) \(-3\) \(0\) \(1\) $+$ $-$ $+$ \(q-2q^{2}-3q^{3}+2q^{4}+6q^{6}+q^{7}+\cdots\)
4025.2.a.b $1$ $32.140$ \(\Q\) None \(-2\) \(1\) \(0\) \(1\) $+$ $-$ $-$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}-2q^{9}+\cdots\)
4025.2.a.c $1$ $32.140$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $-$ $+$ \(q-q^{3}-2q^{4}+q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots\)
4025.2.a.d $1$ $32.140$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $+$ $-$ \(q+q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}-2q^{12}+\cdots\)
4025.2.a.e $1$ $32.140$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $+$ $-$ \(q+q^{2}-q^{4}-q^{7}-3q^{8}-3q^{9}+4q^{11}+\cdots\)
4025.2.a.f $1$ $32.140$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}-4q^{11}+\cdots\)
4025.2.a.g $1$ $32.140$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+2q^{11}+\cdots\)
4025.2.a.h $2$ $32.140$ \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(0\) \(2\) $+$ $-$ $+$ \(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
4025.2.a.i $2$ $32.140$ \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(2\) $+$ $-$ $-$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
4025.2.a.j $3$ $32.140$ 3.3.148.1 None \(1\) \(-2\) \(0\) \(3\) $+$ $-$ $+$ \(q+(\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
4025.2.a.k $3$ $32.140$ \(\Q(\zeta_{14})^+\) None \(2\) \(0\) \(0\) \(3\) $+$ $-$ $-$ \(q+(1-\beta _{1})q^{2}+(-1+\beta _{1}-2\beta _{2})q^{3}+\cdots\)
4025.2.a.l $4$ $32.140$ 4.4.2777.1 None \(-3\) \(-6\) \(0\) \(4\) $+$ $-$ $-$ \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
4025.2.a.m $4$ $32.140$ 4.4.7537.1 None \(-1\) \(-4\) \(0\) \(-4\) $+$ $+$ $-$ \(q-\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.n $4$ $32.140$ 4.4.22545.1 None \(1\) \(0\) \(0\) \(4\) $+$ $-$ $+$ \(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots\)
4025.2.a.o $4$ $32.140$ 4.4.2777.1 None \(2\) \(5\) \(0\) \(-4\) $+$ $+$ $-$ \(q+(1-\beta _{3})q^{2}+(1+\beta _{1})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)
4025.2.a.p $5$ $32.140$ 5.5.2147108.1 None \(-2\) \(0\) \(0\) \(-5\) $+$ $+$ $-$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
4025.2.a.q $5$ $32.140$ 5.5.255877.1 None \(1\) \(4\) \(0\) \(-5\) $+$ $+$ $+$ \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.r $5$ $32.140$ 5.5.122821.1 None \(3\) \(6\) \(0\) \(5\) $+$ $-$ $+$ \(q+(1-\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(\beta _{3}+\beta _{4})q^{4}+\cdots\)
4025.2.a.s $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-3\) \(-2\) \(0\) \(8\) $+$ $-$ $-$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)
4025.2.a.t $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-7\) \(0\) \(-8\) $+$ $+$ $+$ \(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.u $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-4\) \(0\) \(8\) $-$ $-$ $+$ \(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.v $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(1\) \(4\) \(0\) \(-8\) $+$ $+$ $-$ \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.w $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(2\) \(0\) \(-8\) $-$ $+$ $+$ \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)
4025.2.a.x $12$ $32.140$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(0\) \(0\) \(12\) $-$ $-$ $+$ \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.y $12$ $32.140$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(2\) \(0\) \(0\) \(-12\) $-$ $+$ $-$ \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.z $14$ $32.140$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-4\) \(0\) \(-14\) $+$ $+$ $+$ \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.ba $14$ $32.140$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-1\) \(-6\) \(0\) \(-14\) $-$ $+$ $-$ \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
4025.2.a.bb $14$ $32.140$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(1\) \(6\) \(0\) \(14\) $+$ $-$ $+$ \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
4025.2.a.bc $14$ $32.140$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(3\) \(4\) \(0\) \(14\) $-$ $-$ $-$ \(q+\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.bd $21$ $32.140$ None \(-2\) \(1\) \(0\) \(-21\) $-$ $+$ $+$
4025.2.a.be $21$ $32.140$ None \(2\) \(-1\) \(0\) \(21\) $-$ $-$ $-$
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