Learn more about

Refine search


Results (1-50 of 315 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
240.1.bm.a \(4\) \(0.120\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots\)
240.2.a.a \(1\) \(1.916\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-4\) \(+\) \(q-q^{3}-q^{5}-4q^{7}+q^{9}-6q^{13}+q^{15}+\cdots\)
240.2.a.b \(1\) \(1.916\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) \(-\) \(q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
240.2.a.c \(1\) \(1.916\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(-\) \(q-q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
240.2.a.d \(1\) \(1.916\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
240.2.f.a \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots\)
240.2.f.b \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) \(q+iq^{3}+(1-2i)q^{5}-4iq^{7}-q^{9}+\cdots\)
240.2.f.c \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}-2q^{11}+\cdots\)
240.2.h.a \(4\) \(1.916\) \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{1}+\beta _{3})q^{7}+3\beta _{2}q^{9}+\cdots\)
240.2.h.b \(4\) \(1.916\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+2\zeta_{12}^{2}q^{7}+\cdots\)
240.2.o.a \(4\) \(1.916\) \(\Q(\sqrt{2}, \sqrt{-5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+(-2+\cdots)q^{9}+\cdots\)
240.2.o.b \(8\) \(1.916\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{2}q^{3}-\zeta_{24}q^{5}+(1-\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{9}+\cdots\)
240.2.s.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}+\zeta_{8}^{3}q^{3}+2q^{4}+\cdots\)
240.2.s.b \(8\) \(1.916\) 8.0.18939904.2 None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{4}+\beta _{5})q^{2}-\beta _{6}q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
240.2.s.c \(20\) \(1.916\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-\beta _{4}q^{3}+\beta _{2}q^{4}+\beta _{5}q^{5}+\cdots\)
240.2.t.a \(8\) \(1.916\) 8.0.3317760000.5 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{5})q^{3}+\beta _{2}q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)
240.2.t.b \(80\) \(1.916\) None None \(0\) \(0\) \(0\) \(0\)
240.2.v.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(4\) \(4\) \(q+(-1+\zeta_{8}^{2})q^{3}+(1+2\zeta_{8})q^{5}+(1+\cdots)q^{7}+\cdots\)
240.2.v.b \(4\) \(1.916\) \(\Q(i, \sqrt{5})\) None None \(0\) \(-2\) \(0\) \(4\) \(q+(-1+\beta _{3})q^{3}+(-1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
240.2.v.c \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(4\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{3}+(-1-2\zeta_{8})q^{5}+(1+\cdots)q^{7}+\cdots\)
240.2.v.d \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(-12\) \(q+(1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
240.2.v.e \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(4\) \(q+(1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
240.2.w.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-8\) \(0\) \(q+\zeta_{8}q^{3}+(-2+\zeta_{8}^{2})q^{5}+4\zeta_{8}^{3}q^{7}+\cdots\)
240.2.w.b \(8\) \(1.916\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(8\) \(0\) \(q+\zeta_{24}^{5}q^{3}+(1+\zeta_{24}^{2}-\zeta_{24}^{3})q^{5}+\cdots\)
240.2.y.a \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(-2\) \(-2\) \(-2\) \(-2\) \(q+(-1-i)q^{2}-q^{3}+2iq^{4}+(-1+\cdots)q^{5}+\cdots\)
240.2.y.b \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(-2\) \(2\) \(-2\) \(6\) \(q+(-1-i)q^{2}+q^{3}+2iq^{4}+(-1+\cdots)q^{5}+\cdots\)
240.2.y.c \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(2\) \(-2\) \(2\) \(6\) \(q+(1+i)q^{2}-q^{3}+2iq^{4}+(1-2i)q^{5}+\cdots\)
240.2.y.d \(6\) \(1.916\) 6.0.399424.1 None None \(0\) \(6\) \(6\) \(-2\) \(q+\beta _{3}q^{2}+q^{3}+(-\beta _{1}-\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots\)
240.2.y.e \(16\) \(1.916\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(2\) \(16\) \(-4\) \(-4\) \(q+\beta _{7}q^{2}+q^{3}+(-1+\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
240.2.y.f \(20\) \(1.916\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(-20\) \(0\) \(-4\) \(q+\beta _{13}q^{2}-q^{3}-\beta _{3}q^{4}+\beta _{7}q^{5}-\beta _{13}q^{6}+\cdots\)
240.2.bb.a \(88\) \(1.916\) None None \(0\) \(0\) \(0\) \(0\)
240.2.bc.a \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(-4\) \(6\) \(q+(-1-i)q^{2}-iq^{3}+2iq^{4}+(-2+\cdots)q^{5}+\cdots\)
240.2.bc.b \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(-4\) \(-2\) \(q+(-1-i)q^{2}+iq^{3}+2iq^{4}+(-2+\cdots)q^{5}+\cdots\)
240.2.bc.c \(2\) \(1.916\) \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(-4\) \(6\) \(q+(1+i)q^{2}+iq^{3}+2iq^{4}+(-2-i)q^{5}+\cdots\)
240.2.bc.d \(6\) \(1.916\) 6.0.399424.1 None None \(-2\) \(0\) \(12\) \(-2\) \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{2}-\beta _{3})q^{4}+(2+\cdots)q^{5}+\cdots\)
240.2.bc.e \(16\) \(1.916\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(2\) \(0\) \(-8\) \(-4\) \(q+\beta _{2}q^{2}-\beta _{5}q^{3}+(-\beta _{1}+2\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
240.2.bc.f \(20\) \(1.916\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(2\) \(0\) \(8\) \(-4\) \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+\beta _{2}q^{4}-\beta _{15}q^{5}+\cdots\)
240.2.bf.a \(88\) \(1.916\) None None \(0\) \(-4\) \(0\) \(0\)
240.2.bk.a \(4\) \(1.916\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(-16\) \(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+\cdots\)
240.2.bk.b \(60\) \(1.916\) None None \(0\) \(4\) \(0\) \(16\)
240.2.bl.a \(48\) \(1.916\) None None \(0\) \(0\) \(0\) \(0\)
240.3.c.a \(1\) \(6.540\) \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(-3\) \(-5\) \(0\) \(q-3q^{3}-5q^{5}+9q^{9}+15q^{15}+14q^{17}+\cdots\)
240.3.c.b \(1\) \(6.540\) \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(3\) \(5\) \(0\) \(q+3q^{3}+5q^{5}+9q^{9}+15q^{15}-14q^{17}+\cdots\)
240.3.c.c \(4\) \(6.540\) \(\Q(\sqrt{2}, \sqrt{-17})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+(2\beta _{2}+\beta _{3})q^{5}+(-2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
240.3.c.d \(4\) \(6.540\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{3}+(\beta _{1}-\beta _{3})q^{5}+(-2\beta _{2}+2\beta _{3})q^{7}+\cdots\)
240.3.c.e \(12\) \(6.540\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+\beta _{7}q^{5}-\beta _{9}q^{7}+(1-\beta _{4}+\cdots)q^{9}+\cdots\)
240.3.e.a \(4\) \(6.540\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(-2\beta _{2}+2\beta _{3})q^{7}+\cdots\)
240.3.e.b \(4\) \(6.540\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(-2\beta _{2}-2\beta _{3})q^{7}+\cdots\)
240.3.j.a \(4\) \(6.540\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-20\) \(0\) \(q+\zeta_{12}q^{3}-5q^{5}-4\zeta_{12}q^{7}+3q^{9}+\cdots\)
240.3.j.b \(4\) \(6.540\) \(\Q(\sqrt{3}, \sqrt{-7})\) None None \(0\) \(0\) \(-8\) \(0\) \(q+\beta _{1}q^{3}+(-2+\beta _{2})q^{5}+2\beta _{1}q^{7}+\cdots\)
Next   Download to