LMFDB - Newform search results

Refine search

Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twist	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
		Only for weight 1:

				Sort order

Results (displaying matches 1-50 of 258) Next

Label	Dim.	$A$	Field	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	RM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
2304.1.b.a	$2$	$1.150$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-1}) $	$\Q(\sqrt{3}) $	$0$	$0$	$0$	$0$		$q-iq^{13}+q^{25}-iq^{37}+q^{49}+iq^{61}+\cdots$
2304.1.e.a	$2$	$1.150$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q-\beta q^{5}-2q^{13}-\beta q^{17}-q^{25}-\beta q^{29}+\cdots$
2304.1.e.b	$2$	$1.150$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}+2q^{13}-\beta q^{17}-q^{25}+\beta q^{29}+\cdots$
2304.1.g.a	$1$	$1.150$	$\Q$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{6}) $	$0$	$0$	$-2$	$0$		$q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots$
2304.1.g.b	$1$	$1.150$	$\Q$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{2}) $	$0$	$0$	$0$	$0$		$q+2q^{17}-q^{25}+2q^{41}+q^{49}+2q^{73}+\cdots$
2304.1.g.c	$1$	$1.150$	$\Q$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{6}) $	$0$	$0$	$2$	$0$		$q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots$
2304.1.g.d	$2$	$1.150$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{2}) $	$0$	$0$	$0$	$0$		$q-iq^{7}-q^{25}-iq^{31}-3q^{49}+q^{73}+\cdots$
2304.1.h.a	$4$	$1.150$	$\Q(\zeta_{8})$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots$
2304.1.m.a	$4$	$1.150$	$\Q(\zeta_{8})$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$0$		$q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(-1+\zeta_{8}^{2})q^{13}+\cdots$
2304.1.m.b	$4$	$1.150$	$\Q(\zeta_{8})$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$0$		$q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{19}+\cdots$
2304.1.o.a	$2$	$1.150$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-2}) $	None	$0$	$-1$	$0$	$0$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots$
2304.1.o.b	$2$	$1.150$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-2}) $	None	$0$	$1$	$0$	$0$		$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+q^{17}+\cdots$
2304.1.o.c	$4$	$1.150$	$\Q(\zeta_{12})$	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$		$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots$
2304.1.q.a	$2$	$1.150$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-2}) $	None	$0$	$-1$	$0$	$0$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots$
2304.1.q.b	$2$	$1.150$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-2}) $	None	$0$	$1$	$0$	$0$		$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots$
2304.1.q.c	$4$	$1.150$	$\Q(\zeta_{12})$	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$		$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots$
2304.1.t.a	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$0$	$-4$	$0$	$0$		$q-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+q^{9}-\zeta_{12}^{4}q^{11}+\cdots$
2304.1.t.b	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$0$	$4$	$0$	$0$		$q+q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{7}+q^{9}+\zeta_{12}^{4}q^{11}+\cdots$
2304.1.z.a	$8$	$1.150$	$\Q(\zeta_{24})$	None	None	$0$	$0$	$-4$	$0$		$q+\zeta_{24}^{5}q^{3}+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{5}+\cdots$
2304.1.z.b	$8$	$1.150$	$\Q(\zeta_{24})$	None	None	$0$	$0$	$4$	$0$		$q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{10})q^{5}+(\zeta_{24}^{5}+\cdots)q^{7}+\cdots$
2304.2.a.a	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$0$	$+$	$q-4q^{5}+4q^{13}+2q^{17}+11q^{25}+\cdots$
2304.2.a.b	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$-2$	$-2$	$+$	$q-2q^{5}-2q^{7}+4q^{13}+2q^{17}+4q^{19}+\cdots$
2304.2.a.c	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$	$+$	$q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots$
2304.2.a.d	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$	$-$	$q-2q^{5}+4q^{13}-8q^{17}-q^{25}+10q^{29}+\cdots$
2304.2.a.e	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$-2$	$2$	$-$	$q-2q^{5}+2q^{7}+4q^{13}+2q^{17}-4q^{19}+\cdots$
2304.2.a.f	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$0$	$-4$	$-$	$q-4q^{7}-4q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots$
2304.2.a.g	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$0$	$-4$	$+$	$q-4q^{7}+4q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots$
2304.2.a.h	$1$	$18.398$	$\Q$	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$	$+$	$q-6q^{11}+6q^{17}+2q^{19}-5q^{25}+\cdots$
2304.2.a.i	$1$	$18.398$	$\Q$	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$	$-$	$q+6q^{11}+6q^{17}-2q^{19}-5q^{25}+\cdots$
2304.2.a.j	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$0$	$4$	$+$	$q+4q^{7}-4q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots$
2304.2.a.k	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$0$	$4$	$-$	$q+4q^{7}+4q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots$
2304.2.a.l	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$2$	$-2$	$+$	$q+2q^{5}-2q^{7}-4q^{13}+2q^{17}-4q^{19}+\cdots$
2304.2.a.m	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$2$	$0$	$+$	$q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots$
2304.2.a.n	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$2$	$0$	$-$	$q+2q^{5}+4q^{13}+8q^{17}-q^{25}-10q^{29}+\cdots$
2304.2.a.o	$1$	$18.398$	$\Q$	None	None	$0$	$0$	$2$	$2$	$-$	$q+2q^{5}+2q^{7}-4q^{13}+2q^{17}+4q^{19}+\cdots$
2304.2.a.p	$1$	$18.398$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$0$	$-$	$q+4q^{5}-4q^{13}+2q^{17}+11q^{25}+\cdots$
2304.2.a.q	$2$	$18.398$	$\Q(\sqrt{2}) $	$\Q(\sqrt{-6}) $	None	$0$	$0$	$0$	$-4$	$+$	$q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots$
2304.2.a.r	$2$	$18.398$	$\Q(\sqrt{2}) $	None	None	$0$	$0$	$0$	$0$	$-$	$q+\beta q^{5}-\beta q^{7}-4q^{11}+2\beta q^{13}+2q^{17}+\cdots$
2304.2.a.s	$2$	$18.398$	$\Q(\sqrt{3}) $	None	None	$0$	$0$	$0$	$0$	$+$	$q+\beta q^{5}-\beta q^{7}-6q^{17}-4q^{19}-2\beta q^{23}+\cdots$
2304.2.a.t	$2$	$18.398$	$\Q(\sqrt{2}) $	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$	$+$	$q+\beta q^{11}-6q^{17}-3\beta q^{19}-5q^{25}+\cdots$
2304.2.a.u	$2$	$18.398$	$\Q(\sqrt{3}) $	None	None	$0$	$0$	$0$	$0$	$-$	$q+\beta q^{5}+\beta q^{7}-6q^{17}+4q^{19}+2\beta q^{23}+\cdots$
2304.2.a.v	$2$	$18.398$	$\Q(\sqrt{3}) $	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$0$	$+$	$q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots$
2304.2.a.w	$2$	$18.398$	$\Q(\sqrt{3}) $	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$0$	$-$	$q-\beta q^{7}-2\beta q^{13}+8q^{19}-5q^{25}+\cdots$
2304.2.a.x	$2$	$18.398$	$\Q(\sqrt{2}) $	None	None	$0$	$0$	$0$	$0$	$-$	$q+\beta q^{5}+\beta q^{7}+4q^{11}+2\beta q^{13}+2q^{17}+\cdots$
2304.2.a.y	$2$	$18.398$	$\Q(\sqrt{2}) $	$\Q(\sqrt{-6}) $	None	$0$	$0$	$0$	$4$	$-$	$q+\beta q^{5}+2q^{7}+2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots$
2304.2.a.z	$4$	$18.398$	$\Q(\zeta_{24})^+$	$\Q(\sqrt{-6}) $	None	$0$	$0$	$0$	$0$	$-$	$q+\beta _{2}q^{5}+\beta _{1}q^{7}+\beta _{3}q^{11}+7q^{25}+\cdots$
2304.2.c.a	$2$	$18.398$	$\Q(\sqrt{-2}) $	None	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}-2\beta q^{7}-4q^{11}-2q^{13}+\beta q^{17}+\cdots$
2304.2.c.b	$2$	$18.398$	$\Q(\sqrt{-2}) $	None	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}-2\beta q^{7}-4q^{11}+2q^{13}-\beta q^{17}+\cdots$
2304.2.c.c	$2$	$18.398$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+3\beta q^{5}-6q^{13}-5\beta q^{17}-13q^{25}+\cdots$
2304.2.c.d	$2$	$18.398$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}-6q^{13}-3\beta q^{17}+3q^{25}+\cdots$

Introduction	Features
Universe	News

Label	Dim.	\(A\)	Field	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	RM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
2304.1.b.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{3}) \)	\(0\)	\(0\)	\(0\)	\(0\)		\(q-iq^{13}+q^{25}-iq^{37}+q^{49}+iq^{61}+\cdots\)
2304.1.e.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta q^{5}-2q^{13}-\beta q^{17}-q^{25}-\beta q^{29}+\cdots\)
2304.1.e.b	\(2\)	\(1.150\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}+2q^{13}-\beta q^{17}-q^{25}+\beta q^{29}+\cdots\)
2304.1.g.a	\(1\)	\(1.150\)	\(\Q\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{6}) \)	\(0\)	\(0\)	\(-2\)	\(0\)		\(q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots\)
2304.1.g.b	\(1\)	\(1.150\)	\(\Q\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{2}) \)	\(0\)	\(0\)	\(0\)	\(0\)		\(q+2q^{17}-q^{25}+2q^{41}+q^{49}+2q^{73}+\cdots\)
2304.1.g.c	\(1\)	\(1.150\)	\(\Q\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{6}) \)	\(0\)	\(0\)	\(2\)	\(0\)		\(q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots\)
2304.1.g.d	\(2\)	\(1.150\)	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{2}) \)	\(0\)	\(0\)	\(0\)	\(0\)		\(q-iq^{7}-q^{25}-iq^{31}-3q^{49}+q^{73}+\cdots\)
2304.1.h.a	\(4\)	\(1.150\)	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots\)
2304.1.m.a	\(4\)	\(1.150\)	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(-1+\zeta_{8}^{2})q^{13}+\cdots\)
2304.1.m.b	\(4\)	\(1.150\)	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{19}+\cdots\)
2304.1.o.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
2304.1.o.b	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+q^{17}+\cdots\)
2304.1.o.c	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots\)
2304.1.q.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
2304.1.q.b	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
2304.1.q.c	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots\)
2304.1.t.a	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(0\)	\(-4\)	\(0\)	\(0\)		\(q-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+q^{9}-\zeta_{12}^{4}q^{11}+\cdots\)
2304.1.t.b	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(0\)	\(4\)	\(0\)	\(0\)		\(q+q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{7}+q^{9}+\zeta_{12}^{4}q^{11}+\cdots\)
2304.1.z.a	\(8\)	\(1.150\)	\(\Q(\zeta_{24})\)	None	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q+\zeta_{24}^{5}q^{3}+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{5}+\cdots\)
2304.1.z.b	\(8\)	\(1.150\)	\(\Q(\zeta_{24})\)	None	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{10})q^{5}+(\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
2304.2.a.a	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(q-4q^{5}+4q^{13}+2q^{17}+11q^{25}+\cdots\)
2304.2.a.b	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(-2\)	\(-2\)	\(+\)	\(q-2q^{5}-2q^{7}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.c	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots\)
2304.2.a.d	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(q-2q^{5}+4q^{13}-8q^{17}-q^{25}+10q^{29}+\cdots\)
2304.2.a.e	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(-2\)	\(2\)	\(-\)	\(q-2q^{5}+2q^{7}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.f	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(0\)	\(-4\)	\(-\)	\(q-4q^{7}-4q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.g	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(0\)	\(-4\)	\(+\)	\(q-4q^{7}+4q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.h	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(q-6q^{11}+6q^{17}+2q^{19}-5q^{25}+\cdots\)
2304.2.a.i	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+6q^{11}+6q^{17}-2q^{19}-5q^{25}+\cdots\)
2304.2.a.j	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(0\)	\(4\)	\(+\)	\(q+4q^{7}-4q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.k	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(0\)	\(4\)	\(-\)	\(q+4q^{7}+4q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.l	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(2\)	\(-2\)	\(+\)	\(q+2q^{5}-2q^{7}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.m	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots\)
2304.2.a.n	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(q+2q^{5}+4q^{13}+8q^{17}-q^{25}-10q^{29}+\cdots\)
2304.2.a.o	\(1\)	\(18.398\)	\(\Q\)	None	None	\(0\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q+2q^{5}+2q^{7}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.p	\(1\)	\(18.398\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)	\(-\)	\(q+4q^{5}-4q^{13}+2q^{17}+11q^{25}+\cdots\)
2304.2.a.q	\(2\)	\(18.398\)	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-6}) \)	None	\(0\)	\(0\)	\(0\)	\(-4\)	\(+\)	\(q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
2304.2.a.r	\(2\)	\(18.398\)	\(\Q(\sqrt{2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+\beta q^{5}-\beta q^{7}-4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
2304.2.a.s	\(2\)	\(18.398\)	\(\Q(\sqrt{3}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(q+\beta q^{5}-\beta q^{7}-6q^{17}-4q^{19}-2\beta q^{23}+\cdots\)
2304.2.a.t	\(2\)	\(18.398\)	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(q+\beta q^{11}-6q^{17}-3\beta q^{19}-5q^{25}+\cdots\)
2304.2.a.u	\(2\)	\(18.398\)	\(\Q(\sqrt{3}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+\beta q^{5}+\beta q^{7}-6q^{17}+4q^{19}+2\beta q^{23}+\cdots\)
2304.2.a.v	\(2\)	\(18.398\)	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots\)
2304.2.a.w	\(2\)	\(18.398\)	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q-\beta q^{7}-2\beta q^{13}+8q^{19}-5q^{25}+\cdots\)
2304.2.a.x	\(2\)	\(18.398\)	\(\Q(\sqrt{2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+\beta q^{5}+\beta q^{7}+4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
2304.2.a.y	\(2\)	\(18.398\)	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-6}) \)	None	\(0\)	\(0\)	\(0\)	\(4\)	\(-\)	\(q+\beta q^{5}+2q^{7}+2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
2304.2.a.z	\(4\)	\(18.398\)	\(\Q(\zeta_{24})^+\)	\(\Q(\sqrt{-6}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+\beta _{2}q^{5}+\beta _{1}q^{7}+\beta _{3}q^{11}+7q^{25}+\cdots\)
2304.2.c.a	\(2\)	\(18.398\)	\(\Q(\sqrt{-2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}-2\beta q^{7}-4q^{11}-2q^{13}+\beta q^{17}+\cdots\)
2304.2.c.b	\(2\)	\(18.398\)	\(\Q(\sqrt{-2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}-2\beta q^{7}-4q^{11}+2q^{13}-\beta q^{17}+\cdots\)
2304.2.c.c	\(2\)	\(18.398\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+3\beta q^{5}-6q^{13}-5\beta q^{17}-13q^{25}+\cdots\)
2304.2.c.d	\(2\)	\(18.398\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}-6q^{13}-3\beta q^{17}+3q^{25}+\cdots\)

Introduction and more

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Knowledge

Learn more about

Refine search

Results (displaying matches 1-50 of 258) Next

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.