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 (1-50 of 100 matches)

Next Download to Pari/GP SageMath Magma

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
2520.1.b.a	$4$	$1.258$	$\Q(\zeta_{8})$	$\Q(\sqrt{-10}) $	None	$0$	$0$	$-4$	$0$	$-$	$q+\zeta_{8}^{2}q^{2}-q^{4}-q^{5}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{8}+\cdots$
2520.1.b.b	$4$	$1.258$	$\Q(\zeta_{8})$	$\Q(\sqrt{-10}) $	None	$0$	$0$	$4$	$0$	$-$	$q-\zeta_{8}^{2}q^{2}-q^{4}+q^{5}-\zeta_{8}q^{7}+\zeta_{8}^{2}q^{8}+\cdots$
2520.1.h.a	$1$	$1.258$	$\Q$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-70}) $	$\Q(\sqrt{105}) $	$-1$	$0$	$-1$	$-1$	$-$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
2520.1.h.b	$1$	$1.258$	$\Q$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-70}) $	$\Q(\sqrt{105}) $	$-1$	$0$	$1$	$1$	$-$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
2520.1.h.c	$1$	$1.258$	$\Q$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-70}) $	$\Q(\sqrt{105}) $	$1$	$0$	$-1$	$1$	$-$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
2520.1.h.d	$1$	$1.258$	$\Q$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-70}) $	$\Q(\sqrt{105}) $	$1$	$0$	$1$	$-1$	$-$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
2520.1.h.e	$4$	$1.258$	$\Q(\zeta_{8})$	$\Q(\sqrt{-14}) $	None	$0$	$0$	$0$	$0$	$-$	$q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots$
2520.1.ef.a	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-10}) $	None	$-1$	$0$	$-1$	$-2$	$-$	$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\cdots$
2520.1.ef.b	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-10}) $	None	$1$	$0$	$1$	$2$	$-$	$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots$
2520.1.ef.c	$4$	$1.258$	$\Q(\zeta_{12})$	$\Q(\sqrt{-10}) $	None	$-2$	$0$	$2$	$0$	$-$	$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots$
2520.1.ef.d	$4$	$1.258$	$\Q(\zeta_{12})$	$\Q(\sqrt{-10}) $	None	$2$	$0$	$-2$	$0$	$-$	$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots$
2520.1.ek.a	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-6}) $	None	$-1$	$0$	$1$	$-1$	$-$	$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots$
2520.1.ek.b	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-6}) $	None	$-1$	$0$	$2$	$1$	$-$	$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+q^{8}+\cdots$
2520.1.ek.c	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-6}) $	None	$1$	$0$	$-2$	$1$	$-$	$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}-q^{8}+\cdots$
2520.1.ek.d	$2$	$1.258$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-6}) $	None	$1$	$0$	$-1$	$-1$	$-$	$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots$
2520.1.eq.a	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-10}) $	None	$0$	$0$	$-4$	$0$	$-$	$q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{4}q^{5}+\cdots$
2520.1.eq.b	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-10}) $	None	$0$	$0$	$4$	$0$	$-$	$q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+\zeta_{24}^{4}q^{5}+\cdots$
2520.1.fw.a	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-14}) $	None	$0$	$0$	$0$	$0$	$-$	$q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$
2520.1.fw.b	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-14}) $	None	$0$	$0$	$0$	$0$	$-$	$q+\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$
2520.1.hf.a	$16$	$1.258$	$\Q(\zeta_{48})$	$\Q(\sqrt{-14}) $	None	$0$	$0$	$0$	$0$	$-$	$q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots$
2520.1.hf.b	$16$	$1.258$	$\Q(\zeta_{48})$	$\Q(\sqrt{-14}) $	None	$0$	$0$	$0$	$0$	$-$	$q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots$
2520.1.ik.a	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-6}) $	None	$0$	$0$	$0$	$0$	$-$	$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots$
2520.1.ik.b	$8$	$1.258$	$\Q(\zeta_{24})$	$\Q(\sqrt{-6}) $	None	$0$	$0$	$0$	$4$	$-$	$q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots$
2520.2.a.a	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots$
2520.2.a.b	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}-4q^{11}+6q^{13}+4q^{17}+\cdots$
2520.2.a.c	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$+$	$q-q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots$
2520.2.a.d	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$+$	$q-q^{5}-q^{7}+2q^{13}-2q^{17}+q^{25}+\cdots$
2520.2.a.e	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots$
2520.2.a.f	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots$
2520.2.a.g	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$1$	$+$	$q-q^{5}+q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots$
2520.2.a.h	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$1$	$+$	$q-q^{5}+q^{7}+2q^{11}-2q^{13}-2q^{17}+\cdots$
2520.2.a.i	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$-1$	$1$	$-$	$q-q^{5}+q^{7}+5q^{11}-5q^{13}+7q^{17}+\cdots$
2520.2.a.j	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots$
2520.2.a.k	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}-2q^{11}-6q^{13}+2q^{17}+\cdots$
2520.2.a.l	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots$
2520.2.a.m	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$+$	$q+q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots$
2520.2.a.n	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$+$	$q+q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots$
2520.2.a.o	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}+4q^{11}+6q^{13}-4q^{17}+\cdots$
2520.2.a.p	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots$
2520.2.a.q	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$1$	$+$	$q+q^{5}+q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots$
2520.2.a.r	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$1$	$+$	$q+q^{5}+q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots$
2520.2.a.s	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$1$	$-$	$q+q^{5}+q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots$
2520.2.a.t	$1$	$20.122$	$\Q$	None	None	$0$	$0$	$1$	$1$	$-$	$q+q^{5}+q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots$
2520.2.a.u	$2$	$20.122$	$\Q(\sqrt{17}) $	None	None	$0$	$0$	$-2$	$2$	$-$	$q-q^{5}+q^{7}+(-1-\beta )q^{11}+2q^{13}+\cdots$
2520.2.a.v	$2$	$20.122$	$\Q(\sqrt{2}) $	None	None	$0$	$0$	$-2$	$2$	$-$	$q-q^{5}+q^{7}+\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots$
2520.2.a.w	$2$	$20.122$	$\Q(\sqrt{17}) $	None	None	$0$	$0$	$-2$	$2$	$+$	$q-q^{5}+q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots$
2520.2.a.x	$2$	$20.122$	$\Q(\sqrt{33}) $	None	None	$0$	$0$	$2$	$-2$	$+$	$q+q^{5}-q^{7}+(-3-\beta )q^{11}+(1+\beta )q^{13}+\cdots$
2520.2.a.y	$2$	$20.122$	$\Q(\sqrt{17}) $	None	None	$0$	$0$	$2$	$2$	$-$	$q+q^{5}+q^{7}+(1+\beta )q^{11}+2q^{13}+(1+\cdots)q^{17}+\cdots$
2520.2.e.a	$48$	$20.122$		None	None	$-4$	$0$	$48$	$0$	$-$
2520.2.e.b	$48$	$20.122$		None	None	$4$	$0$	$-48$	$0$	$-$

Next Download to Pari/GP SageMath Magma

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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
2520.1.b.a	$4$	$1.258$	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-10}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)	$-$	\(q+\zeta_{8}^{2}q^{2}-q^{4}-q^{5}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.b.b	$4$	$1.258$	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-10}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)	$-$	\(q-\zeta_{8}^{2}q^{2}-q^{4}+q^{5}-\zeta_{8}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
2520.1.h.a	$1$	$1.258$	\(\Q\)	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \)	\(\Q(\sqrt{105}) \)	\(-1\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2520.1.h.b	$1$	$1.258$	\(\Q\)	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \)	\(\Q(\sqrt{105}) \)	\(-1\)	\(0\)	\(1\)	\(1\)	$-$	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2520.1.h.c	$1$	$1.258$	\(\Q\)	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \)	\(\Q(\sqrt{105}) \)	\(1\)	\(0\)	\(-1\)	\(1\)	$-$	\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2520.1.h.d	$1$	$1.258$	\(\Q\)	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \)	\(\Q(\sqrt{105}) \)	\(1\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2520.1.h.e	$4$	$1.258$	\(\Q(\zeta_{8})\)	\(\Q(\sqrt{-14}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
2520.1.ef.a	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-10}) \)	None	\(-1\)	\(0\)	\(-1\)	\(-2\)	$-$	\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\cdots\)
2520.1.ef.b	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-10}) \)	None	\(1\)	\(0\)	\(1\)	\(2\)	$-$	\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
2520.1.ef.c	$4$	$1.258$	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-10}) \)	None	\(-2\)	\(0\)	\(2\)	\(0\)	$-$	\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ef.d	$4$	$1.258$	\(\Q(\zeta_{12})\)	\(\Q(\sqrt{-10}) \)	None	\(2\)	\(0\)	\(-2\)	\(0\)	$-$	\(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
2520.1.ek.a	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-6}) \)	None	\(-1\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.ek.b	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-6}) \)	None	\(-1\)	\(0\)	\(2\)	\(1\)	$-$	\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+q^{8}+\cdots\)
2520.1.ek.c	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-6}) \)	None	\(1\)	\(0\)	\(-2\)	\(1\)	$-$	\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}-q^{8}+\cdots\)
2520.1.ek.d	$2$	$1.258$	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-6}) \)	None	\(1\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
2520.1.eq.a	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-10}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)	$-$	\(q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.eq.b	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-10}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)	$-$	\(q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+\zeta_{24}^{4}q^{5}+\cdots\)
2520.1.fw.a	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-14}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.fw.b	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-14}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q+\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
2520.1.hf.a	$16$	$1.258$	\(\Q(\zeta_{48})\)	\(\Q(\sqrt{-14}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.hf.b	$16$	$1.258$	\(\Q(\zeta_{48})\)	\(\Q(\sqrt{-14}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots\)
2520.1.ik.a	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-6}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	$-$	\(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
2520.1.ik.b	$8$	$1.258$	\(\Q(\zeta_{24})\)	\(\Q(\sqrt{-6}) \)	None	\(0\)	\(0\)	\(0\)	\(4\)	$-$	\(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
2520.2.a.a	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-q^{5}-q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.b	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-q^{5}-q^{7}-4q^{11}+6q^{13}+4q^{17}+\cdots\)
2520.2.a.c	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$+$	\(q-q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.d	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$+$	\(q-q^{5}-q^{7}+2q^{13}-2q^{17}+q^{25}+\cdots\)
2520.2.a.e	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-q^{5}-q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots\)
2520.2.a.f	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(-1\)	$-$	\(q-q^{5}-q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.g	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(1\)	$+$	\(q-q^{5}+q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.h	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(1\)	$+$	\(q-q^{5}+q^{7}+2q^{11}-2q^{13}-2q^{17}+\cdots\)
2520.2.a.i	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(-1\)	\(1\)	$-$	\(q-q^{5}+q^{7}+5q^{11}-5q^{13}+7q^{17}+\cdots\)
2520.2.a.j	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
2520.2.a.k	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{5}-q^{7}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.l	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{5}-q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
2520.2.a.m	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$+$	\(q+q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
2520.2.a.n	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$+$	\(q+q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
2520.2.a.o	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{5}-q^{7}+4q^{11}+6q^{13}-4q^{17}+\cdots\)
2520.2.a.p	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(-1\)	$-$	\(q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots\)
2520.2.a.q	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(1\)	$+$	\(q+q^{5}+q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
2520.2.a.r	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(1\)	$+$	\(q+q^{5}+q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
2520.2.a.s	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(1\)	$-$	\(q+q^{5}+q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2520.2.a.t	$1$	$20.122$	\(\Q\)	None	None	\(0\)	\(0\)	\(1\)	\(1\)	$-$	\(q+q^{5}+q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
2520.2.a.u	$2$	$20.122$	\(\Q(\sqrt{17}) \)	None	None	\(0\)	\(0\)	\(-2\)	\(2\)	$-$	\(q-q^{5}+q^{7}+(-1-\beta )q^{11}+2q^{13}+\cdots\)
2520.2.a.v	$2$	$20.122$	\(\Q(\sqrt{2}) \)	None	None	\(0\)	\(0\)	\(-2\)	\(2\)	$-$	\(q-q^{5}+q^{7}+\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
2520.2.a.w	$2$	$20.122$	\(\Q(\sqrt{17}) \)	None	None	\(0\)	\(0\)	\(-2\)	\(2\)	$+$	\(q-q^{5}+q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
2520.2.a.x	$2$	$20.122$	\(\Q(\sqrt{33}) \)	None	None	\(0\)	\(0\)	\(2\)	\(-2\)	$+$	\(q+q^{5}-q^{7}+(-3-\beta )q^{11}+(1+\beta )q^{13}+\cdots\)
2520.2.a.y	$2$	$20.122$	\(\Q(\sqrt{17}) \)	None	None	\(0\)	\(0\)	\(2\)	\(2\)	$-$	\(q+q^{5}+q^{7}+(1+\beta )q^{11}+2q^{13}+(1+\cdots)q^{17}+\cdots\)
2520.2.e.a	$48$	$20.122$		None	None	\(-4\)	\(0\)	\(48\)	\(0\)	$-$
2520.2.e.b	$48$	$20.122$		None	None	\(4\)	\(0\)	\(-48\)	\(0\)	$-$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 100 matches)

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