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 69 matches)

Next Download to Pari/GP SageMath Magma

Label	Dim.	$A$	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
1666.2.a.a	$1$	$13.303$	$\Q$	None	$-1$	$-3$	$2$	$0$	$+$	$q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-q^{8}+\cdots$
1666.2.a.b	$1$	$13.303$	$\Q$	None	$-1$	$-2$	$-4$	$0$	$+$	$q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{8}+\cdots$
1666.2.a.c	$1$	$13.303$	$\Q$	None	$-1$	$-2$	$3$	$0$	$+$	$q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-q^{8}+\cdots$
1666.2.a.d	$1$	$13.303$	$\Q$	None	$-1$	$-1$	$-2$	$0$	$+$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots$
1666.2.a.e	$1$	$13.303$	$\Q$	None	$-1$	$0$	$2$	$0$	$+$	$q-q^{2}+q^{4}+2q^{5}-q^{8}-3q^{9}-2q^{10}+\cdots$
1666.2.a.f	$1$	$13.303$	$\Q$	None	$-1$	$1$	$2$	$0$	$+$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots$
1666.2.a.g	$1$	$13.303$	$\Q$	None	$-1$	$2$	$-3$	$0$	$+$	$q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots$
1666.2.a.h	$1$	$13.303$	$\Q$	None	$-1$	$3$	$-2$	$0$	$+$	$q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}-q^{8}+\cdots$
1666.2.a.i	$1$	$13.303$	$\Q$	None	$1$	$-2$	$0$	$0$	$-$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots$
1666.2.a.j	$1$	$13.303$	$\Q$	None	$1$	$0$	$-2$	$0$	$+$	$q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots$
1666.2.a.k	$1$	$13.303$	$\Q$	None	$1$	$0$	$-1$	$0$	$+$	$q+q^{2}+q^{4}-q^{5}+q^{8}-3q^{9}-q^{10}+\cdots$
1666.2.a.l	$1$	$13.303$	$\Q$	None	$1$	$0$	$1$	$0$	$+$	$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$
1666.2.a.m	$1$	$13.303$	$\Q$	None	$1$	$2$	$0$	$0$	$-$	$q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots$
1666.2.a.n	$1$	$13.303$	$\Q$	None	$1$	$2$	$4$	$0$	$-$	$q+q^{2}+2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{8}+\cdots$
1666.2.a.o	$2$	$13.303$	$\Q(\sqrt{5}) $	None	$-2$	$-2$	$-2$	$0$	$-$	$q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots$
1666.2.a.p	$2$	$13.303$	$\Q(\sqrt{2}) $	None	$-2$	$0$	$-4$	$0$	$+$	$q-q^{2}+\beta q^{3}+q^{4}+(-2+\beta )q^{5}-\beta q^{6}+\cdots$
1666.2.a.q	$2$	$13.303$	$\Q(\sqrt{2}) $	None	$-2$	$0$	$4$	$0$	$-$	$q-q^{2}+\beta q^{3}+q^{4}+(2+\beta )q^{5}-\beta q^{6}+\cdots$
1666.2.a.r	$2$	$13.303$	$\Q(\sqrt{3}) $	None	$2$	$-2$	$-2$	$0$	$+$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots$
1666.2.a.s	$2$	$13.303$	$\Q(\sqrt{3}) $	None	$2$	$2$	$2$	$0$	$-$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots$
1666.2.a.t	$3$	$13.303$	3.3.404.1	None	$-3$	$0$	$-1$	$0$	$-$	$q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots$
1666.2.a.u	$3$	$13.303$	3.3.404.1	None	$-3$	$0$	$1$	$0$	$-$	$q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots$
1666.2.a.v	$4$	$13.303$	4.4.4352.1	None	$-4$	$0$	$-4$	$0$	$+$	$q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots$
1666.2.a.w	$4$	$13.303$	4.4.4352.1	None	$-4$	$0$	$4$	$0$	$-$	$q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots$
1666.2.a.x	$4$	$13.303$	4.4.4352.1	None	$4$	$-4$	$-8$	$0$	$+$	$q+q^{2}+(-1+\beta _{2}-\beta _{3})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots$
1666.2.a.y	$4$	$13.303$	4.4.4352.1	None	$4$	$4$	$8$	$0$	$-$	$q+q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots$
1666.2.a.z	$5$	$13.303$	5.5.23949216.1	None	$5$	$0$	$-1$	$0$	$-$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots$
1666.2.a.ba	$5$	$13.303$	5.5.23949216.1	None	$5$	$0$	$1$	$0$	$-$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$
1666.2.b.a	$2$	$13.303$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots$
1666.2.b.b	$2$	$13.303$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots$
1666.2.b.c	$2$	$13.303$	$\Q(\sqrt{-2}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots$
1666.2.b.d	$2$	$13.303$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+q^{4}-q^{8}+3q^{9}-2q^{13}+q^{16}+\cdots$
1666.2.b.e	$2$	$13.303$	$\Q(\sqrt{-2}) $	None	$2$	$0$	$0$	$0$		$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots$
1666.2.b.f	$2$	$13.303$	$\Q(\sqrt{-2}) $	None	$2$	$0$	$0$	$0$		$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots$
1666.2.b.g	$4$	$13.303$	$\Q(\sqrt{-2}, \sqrt{15})$	None	$-4$	$0$	$0$	$0$		$q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots$
1666.2.b.h	$4$	$13.303$	$\Q(\sqrt{-2}, \sqrt{15})$	None	$-4$	$0$	$0$	$0$		$q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots$
1666.2.b.i	$4$	$13.303$	$\Q(\zeta_{8})$	None	$-4$	$0$	$0$	$0$		$q-q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}+q^{4}+(\zeta_{8}+\cdots)q^{6}+\cdots$
1666.2.b.j	$4$	$13.303$	$\Q(\sqrt{-2}, \sqrt{15})$	None	$-4$	$0$	$0$	$0$		$q-q^{2}-\beta _{2}q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots$
1666.2.b.k	$6$	$13.303$	6.0.84345856.2	None	$6$	$0$	$0$	$0$		$q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots$
1666.2.b.l	$6$	$13.303$	6.0.84345856.2	None	$6$	$0$	$0$	$0$		$q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots$
1666.2.b.m	$6$	$13.303$	6.0.350464.1	None	$6$	$0$	$0$	$0$		$q+q^{2}+\beta _{2}q^{3}+q^{4}+(\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots$
1666.2.b.n	$8$	$13.303$	8.0.$\cdots$.5	None	$-8$	$0$	$0$	$0$		$q-q^{2}+\beta _{3}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$
1666.2.b.o	$8$	$13.303$	8.0.$\cdots$.3	None	$8$	$0$	$0$	$0$		$q+q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{6}q^{6}+\cdots$
1666.4.a.a	$1$	$98.297$	$\Q$	None	$-2$	$2$	$-16$	$0$	$+$	$q-2q^{2}+2q^{3}+4q^{4}-2^{4}q^{5}-4q^{6}+\cdots$
1666.4.a.b	$1$	$98.297$	$\Q$	None	$-2$	$2$	$18$	$0$	$-$	$q-2q^{2}+2q^{3}+4q^{4}+18q^{5}-4q^{6}+\cdots$
1666.4.a.c	$2$	$98.297$	$\Q(\sqrt{93}) $	None	$-4$	$5$	$-9$	$0$	$-$	$q-2q^{2}+(3-\beta )q^{3}+4q^{4}+(-4-\beta )q^{5}+\cdots$
1666.4.a.d	$2$	$98.297$	$\Q(\sqrt{13}) $	None	$4$	$-6$	$4$	$0$	$+$	$q+2q^{2}+(-3-\beta )q^{3}+4q^{4}+(2+4\beta )q^{5}+\cdots$
1666.4.a.e	$2$	$98.297$	$\Q(\sqrt{69}) $	None	$4$	$11$	$7$	$0$	$+$	$q+2q^{2}+(6-\beta )q^{3}+4q^{4}+(3+\beta )q^{5}+\cdots$
1666.4.a.f	$3$	$98.297$	3.3.48173.1	None	$-6$	$-1$	$5$	$0$	$+$	$q-2q^{2}-\beta _{1}q^{3}+4q^{4}+(2-2\beta _{1}-\beta _{2})q^{5}+\cdots$
1666.4.a.g	$3$	$98.297$	3.3.69061.1	None	$-6$	$5$	$21$	$0$	$+$	$q-2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(7+\beta _{2})q^{5}+\cdots$
1666.4.a.h	$3$	$98.297$	3.3.55029.1	None	$6$	$-7$	$-19$	$0$	$-$	$q+2q^{2}+(-2-\beta _{1})q^{3}+4q^{4}+(-7+\cdots)q^{5}+\cdots$

Next Download to Pari/GP SageMath Magma

Overview	Random
Universe	Knowledge

Degree 1	Degree 2
Degree 3	Degree 4
$\zeta$ zeros

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	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
1666.2.a.a	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(-3\)	\(2\)	\(0\)	\(+\)	\(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-q^{8}+\cdots\)
1666.2.a.b	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(-2\)	\(-4\)	\(0\)	\(+\)	\(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.c	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(-2\)	\(3\)	\(0\)	\(+\)	\(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.d	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(-1\)	\(-2\)	\(0\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots\)
1666.2.a.e	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(0\)	\(2\)	\(0\)	\(+\)	\(q-q^{2}+q^{4}+2q^{5}-q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.f	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(1\)	\(2\)	\(0\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
1666.2.a.g	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(2\)	\(-3\)	\(0\)	\(+\)	\(q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots\)
1666.2.a.h	\(1\)	\(13.303\)	\(\Q\)	None	\(-1\)	\(3\)	\(-2\)	\(0\)	\(+\)	\(q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}-q^{8}+\cdots\)
1666.2.a.i	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(-2\)	\(0\)	\(0\)	\(-\)	\(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.j	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.k	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(q+q^{2}+q^{4}-q^{5}+q^{8}-3q^{9}-q^{10}+\cdots\)
1666.2.a.l	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(0\)	\(+\)	\(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
1666.2.a.m	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(2\)	\(0\)	\(0\)	\(-\)	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.n	\(1\)	\(13.303\)	\(\Q\)	None	\(1\)	\(2\)	\(4\)	\(0\)	\(-\)	\(q+q^{2}+2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{8}+\cdots\)
1666.2.a.o	\(2\)	\(13.303\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(-2\)	\(-2\)	\(0\)	\(-\)	\(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
1666.2.a.p	\(2\)	\(13.303\)	\(\Q(\sqrt{2}) \)	None	\(-2\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(q-q^{2}+\beta q^{3}+q^{4}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.q	\(2\)	\(13.303\)	\(\Q(\sqrt{2}) \)	None	\(-2\)	\(0\)	\(4\)	\(0\)	\(-\)	\(q-q^{2}+\beta q^{3}+q^{4}+(2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.r	\(2\)	\(13.303\)	\(\Q(\sqrt{3}) \)	None	\(2\)	\(-2\)	\(-2\)	\(0\)	\(+\)	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
1666.2.a.s	\(2\)	\(13.303\)	\(\Q(\sqrt{3}) \)	None	\(2\)	\(2\)	\(2\)	\(0\)	\(-\)	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
1666.2.a.t	\(3\)	\(13.303\)	3.3.404.1	None	\(-3\)	\(0\)	\(-1\)	\(0\)	\(-\)	\(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
1666.2.a.u	\(3\)	\(13.303\)	3.3.404.1	None	\(-3\)	\(0\)	\(1\)	\(0\)	\(-\)	\(q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots\)
1666.2.a.v	\(4\)	\(13.303\)	4.4.4352.1	None	\(-4\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.w	\(4\)	\(13.303\)	4.4.4352.1	None	\(-4\)	\(0\)	\(4\)	\(0\)	\(-\)	\(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.x	\(4\)	\(13.303\)	4.4.4352.1	None	\(4\)	\(-4\)	\(-8\)	\(0\)	\(+\)	\(q+q^{2}+(-1+\beta _{2}-\beta _{3})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
1666.2.a.y	\(4\)	\(13.303\)	4.4.4352.1	None	\(4\)	\(4\)	\(8\)	\(0\)	\(-\)	\(q+q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
1666.2.a.z	\(5\)	\(13.303\)	5.5.23949216.1	None	\(5\)	\(0\)	\(-1\)	\(0\)	\(-\)	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
1666.2.a.ba	\(5\)	\(13.303\)	5.5.23949216.1	None	\(5\)	\(0\)	\(1\)	\(0\)	\(-\)	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
1666.2.b.a	\(2\)	\(13.303\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots\)
1666.2.b.b	\(2\)	\(13.303\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots\)
1666.2.b.c	\(2\)	\(13.303\)	\(\Q(\sqrt{-2}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots\)
1666.2.b.d	\(2\)	\(13.303\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-q^{8}+3q^{9}-2q^{13}+q^{16}+\cdots\)
1666.2.b.e	\(2\)	\(13.303\)	\(\Q(\sqrt{-2}) \)	None	\(2\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
1666.2.b.f	\(2\)	\(13.303\)	\(\Q(\sqrt{-2}) \)	None	\(2\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
1666.2.b.g	\(4\)	\(13.303\)	\(\Q(\sqrt{-2}, \sqrt{15})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
1666.2.b.h	\(4\)	\(13.303\)	\(\Q(\sqrt{-2}, \sqrt{15})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
1666.2.b.i	\(4\)	\(13.303\)	\(\Q(\zeta_{8})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}+q^{4}+(\zeta_{8}+\cdots)q^{6}+\cdots\)
1666.2.b.j	\(4\)	\(13.303\)	\(\Q(\sqrt{-2}, \sqrt{15})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}-\beta _{2}q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
1666.2.b.k	\(6\)	\(13.303\)	6.0.84345856.2	None	\(6\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots\)
1666.2.b.l	\(6\)	\(13.303\)	6.0.84345856.2	None	\(6\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots\)
1666.2.b.m	\(6\)	\(13.303\)	6.0.350464.1	None	\(6\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+\beta _{2}q^{3}+q^{4}+(\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots\)
1666.2.b.n	\(8\)	\(13.303\)	8.0.\(\cdots\).5	None	\(-8\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+\beta _{3}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
1666.2.b.o	\(8\)	\(13.303\)	8.0.\(\cdots\).3	None	\(8\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{6}q^{6}+\cdots\)
1666.4.a.a	\(1\)	\(98.297\)	\(\Q\)	None	\(-2\)	\(2\)	\(-16\)	\(0\)	\(+\)	\(q-2q^{2}+2q^{3}+4q^{4}-2^{4}q^{5}-4q^{6}+\cdots\)
1666.4.a.b	\(1\)	\(98.297\)	\(\Q\)	None	\(-2\)	\(2\)	\(18\)	\(0\)	\(-\)	\(q-2q^{2}+2q^{3}+4q^{4}+18q^{5}-4q^{6}+\cdots\)
1666.4.a.c	\(2\)	\(98.297\)	\(\Q(\sqrt{93}) \)	None	\(-4\)	\(5\)	\(-9\)	\(0\)	\(-\)	\(q-2q^{2}+(3-\beta )q^{3}+4q^{4}+(-4-\beta )q^{5}+\cdots\)
1666.4.a.d	\(2\)	\(98.297\)	\(\Q(\sqrt{13}) \)	None	\(4\)	\(-6\)	\(4\)	\(0\)	\(+\)	\(q+2q^{2}+(-3-\beta )q^{3}+4q^{4}+(2+4\beta )q^{5}+\cdots\)
1666.4.a.e	\(2\)	\(98.297\)	\(\Q(\sqrt{69}) \)	None	\(4\)	\(11\)	\(7\)	\(0\)	\(+\)	\(q+2q^{2}+(6-\beta )q^{3}+4q^{4}+(3+\beta )q^{5}+\cdots\)
1666.4.a.f	\(3\)	\(98.297\)	3.3.48173.1	None	\(-6\)	\(-1\)	\(5\)	\(0\)	\(+\)	\(q-2q^{2}-\beta _{1}q^{3}+4q^{4}+(2-2\beta _{1}-\beta _{2})q^{5}+\cdots\)
1666.4.a.g	\(3\)	\(98.297\)	3.3.69061.1	None	\(-6\)	\(5\)	\(21\)	\(0\)	\(+\)	\(q-2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(7+\beta _{2})q^{5}+\cdots\)
1666.4.a.h	\(3\)	\(98.297\)	3.3.55029.1	None	\(6\)	\(-7\)	\(-19\)	\(0\)	\(-\)	\(q+2q^{2}+(-2-\beta _{1})q^{3}+4q^{4}+(-7+\cdots)q^{5}+\cdots\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Learn more about

Refine search

Results (1-50 of 69 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.