LMFDB - Newform search results

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 61 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2904.1.n.a	$2904$	$1$	2904.n	24.h	$2$	$2$	$2$	$1.449$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-6}) $	None	✓				264.1.t.a	$2$	$0$	$-2$	$-2$	$1$	$-1$		$1$		$q-q^{2}-q^{3}+q^{4}+(1-\beta )q^{5}+q^{6}+\cdots$
2904.1.n.b	$2904$	$1$	2904.n	24.h	$2$	$2$	$2$	$1.449$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-6}) $	None	✓				264.1.t.a	$2$	$0$	$-2$	$2$	$-1$	$1$		$1$		$q-q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots$
2904.1.n.c	$2904$	$1$	2904.n	24.h	$2$	$2$	$2$	$1.449$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-6}) $	None	✓				264.1.t.a	$2$	$0$	$2$	$-2$	$1$	$1$		$1$		$q+q^{2}-q^{3}+q^{4}+(1-\beta )q^{5}-q^{6}+\cdots$
2904.1.n.d	$2904$	$1$	2904.n	24.h	$2$	$2$	$2$	$1.449$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-6}) $	None	✓				264.1.t.a	$2$	$0$	$2$	$2$	$-1$	$-1$		$1$		$q+q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots$
2904.1.p.a	$2904$	$1$	2904.p	264.p	$2$	$4$	$4$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$-4$	$1$	$0$	$0$		$1$		$q-q^{2}+\zeta_{10}q^{3}+q^{4}-\zeta_{10}q^{6}-q^{8}+\cdots$
2904.1.p.b	$2904$	$1$	2904.p	264.p	$2$	$4$	$4$	$1.449$	$\Q(\zeta_{8})$	$D_{4}$	None	$\Q(\sqrt{6}) $		✓			2904.1.p.b	$8$	$0$	$0$	$4$	$0$	$0$		$2$		$q-\zeta_{8}^{2}q^{2}+q^{3}-q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$
2904.1.p.c	$2904$	$1$	2904.p	264.p	$2$	$4$	$4$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$4$	$1$	$0$	$0$		$1$		$q+q^{2}+\zeta_{10}q^{3}+q^{4}+\zeta_{10}q^{6}+q^{8}+\cdots$
2904.1.r.a	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$-1$	$-4$	$0$	$0$		$1$		$q-\zeta_{10}^{3}q^{2}-q^{3}-\zeta_{10}q^{4}+\zeta_{10}^{3}q^{6}+\cdots$
2904.1.r.b	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-66}) $	$\Q(\sqrt{33}) $					264.1.p.a	$16$	$0$	$-1$	$1$	$0$	$0$		$1$		$q-\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}-\zeta_{10}^{2}q^{6}+\cdots$
2904.1.r.c	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$-1$	$1$	$0$	$0$		$1$		$q-\zeta_{10}^{3}q^{2}+\zeta_{10}^{3}q^{3}-\zeta_{10}q^{4}+\zeta_{10}q^{6}+\cdots$
2904.1.r.d	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$-1$	$1$	$0$	$0$		$1$		$q-\zeta_{10}^{3}q^{2}+\zeta_{10}q^{3}-\zeta_{10}q^{4}-\zeta_{10}^{4}q^{6}+\cdots$
2904.1.r.e	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$1$	$-4$	$0$	$0$		$1$		$q+\zeta_{10}^{3}q^{2}-q^{3}-\zeta_{10}q^{4}-\zeta_{10}^{3}q^{6}+\cdots$
2904.1.r.f	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-66}) $	$\Q(\sqrt{33}) $					264.1.p.a	$16$	$0$	$1$	$1$	$0$	$0$		$1$		$q+\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+\zeta_{10}^{2}q^{6}+\cdots$
2904.1.r.g	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$1$	$1$	$0$	$0$		$1$		$q+\zeta_{10}^{3}q^{2}+\zeta_{10}^{3}q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{6}+\cdots$
2904.1.r.h	$2904$	$1$	2904.r	264.r	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{10}$	$\Q(\sqrt{-2}) $	None					264.1.r.a	$4$	$0$	$1$	$1$	$0$	$0$		$1$		$q+\zeta_{10}^{3}q^{2}-\zeta_{10}^{2}q^{3}-\zeta_{10}q^{4}+q^{6}+\cdots$
2904.1.r.i	$2904$	$1$	2904.r	264.r	$10$	$16$	$4$	$1.449$	$\Q(\zeta_{40})$	$D_{4}$	None	$\Q(\sqrt{6}) $		✓	✓		2904.1.p.b	$32$	$0$	$0$	$-4$	$0$	$0$		$2^{4}$		$q+\zeta_{40}^{2}q^{2}+\zeta_{40}^{16}q^{3}+\zeta_{40}^{4}q^{4}+\cdots$
2904.1.t.a	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$-1$	$-1$	$3$	$3$		$1$		$q-\zeta_{10}^{3}q^{2}+\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(1+\cdots)q^{5}+\cdots$
2904.1.t.b	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$-1$	$1$	$-3$	$-3$		$1$		$q-\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(-1+\cdots)q^{5}+\cdots$
2904.1.t.c	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$-1$	$1$	$2$	$2$		$1$		$q-\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(\zeta_{10}+\cdots)q^{5}+\cdots$
2904.1.t.d	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$1$	$-1$	$-2$	$2$		$1$		$q+\zeta_{10}^{3}q^{2}+\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(-\zeta_{10}+\cdots)q^{5}+\cdots$
2904.1.t.e	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$1$	$-1$	$3$	$-3$		$1$		$q+\zeta_{10}^{3}q^{2}+\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(1+\cdots)q^{5}+\cdots$
2904.1.t.f	$2904$	$1$	2904.t	264.t	$10$	$4$	$1$	$1.449$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-6}) $	None					264.1.t.a	$4$	$0$	$1$	$1$	$-3$	$3$		$1$		$q+\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}q^{4}+(-1+\cdots)q^{5}+\cdots$
2904.1.bh.a	$2904$	$1$	2904.bh	2904.ah	$22$	$10$	$1$	$1.449$	$\Q(\zeta_{22})$	$D_{22}$	$\Q(\sqrt{-2}) $	None		✓			2904.1.bh.a	$4$	$0$	$-1$	$1$	$0$	$0$		$1$		$q+\zeta_{22}^{10}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{9}q^{4}+\cdots$
2904.1.bh.b	$2904$	$1$	2904.bh	2904.ah	$22$	$10$	$1$	$1.449$	$\Q(\zeta_{22})$	$D_{22}$	$\Q(\sqrt{-2}) $	None		✓			2904.1.bh.a	$4$	$0$	$1$	$1$	$0$	$0$		$1$		$q-\zeta_{22}^{10}q^{2}-\zeta_{22}^{2}q^{3}-\zeta_{22}^{9}q^{4}+\cdots$
2904.1.bj.a	$2904$	$1$	2904.bj	2904.aj	$22$	$10$	$1$	$1.449$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-6}) $	None		✓			2904.1.bj.a	$4$	$0$	$-1$	$10$	$-2$	$-2$		$1$		$q+\zeta_{22}^{10}q^{2}+q^{3}-\zeta_{22}^{9}q^{4}+(-\zeta_{22}+\cdots)q^{5}+\cdots$
2904.1.bj.b	$2904$	$1$	2904.bj	2904.aj	$22$	$10$	$1$	$1.449$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-6}) $	None		✓			2904.1.bj.a	$4$	$0$	$1$	$-10$	$2$	$-2$		$1$		$q-\zeta_{22}^{10}q^{2}-q^{3}-\zeta_{22}^{9}q^{4}+(\zeta_{22}+\cdots)q^{5}+\cdots$
2904.1.cj.a	$2904$	$1$	2904.cj	2904.bj	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-6}) $	None		✓			2904.1.cj.a	$4$	$0$	$-1$	$10$	$-2$	$2$		$1$		$q+\zeta_{110}^{53}q^{2}-\zeta_{110}^{44}q^{3}-\zeta_{110}^{51}q^{4}+\cdots$
2904.1.cj.b	$2904$	$1$	2904.cj	2904.bj	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{55}$	$\Q(\sqrt{-6}) $	None		✓			2904.1.cj.a	$4$	$0$	$1$	$-10$	$2$	$2$		$1$		$q-\zeta_{110}^{53}q^{2}+\zeta_{110}^{44}q^{3}-\zeta_{110}^{51}q^{4}+\cdots$
2904.1.cl.a	$2904$	$1$	2904.cl	2904.bl	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{110}$	$\Q(\sqrt{-2}) $	None		✓			2904.1.cl.a	$4$	$0$	$-1$	$-1$	$0$	$0$		$1$		$q-\zeta_{110}^{36}q^{2}+\zeta_{110}^{27}q^{3}-\zeta_{110}^{17}q^{4}+\cdots$
2904.1.cl.b	$2904$	$1$	2904.cl	2904.bl	$110$	$40$	$1$	$1.449$	$\Q(\zeta_{55})$	$D_{110}$	$\Q(\sqrt{-2}) $	None		✓			2904.1.cl.a	$4$	$0$	$1$	$-1$	$0$	$0$		$1$		$q+\zeta_{110}^{36}q^{2}+\zeta_{110}^{39}q^{3}-\zeta_{110}^{17}q^{4}+\cdots$
2904.2.a.a	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.a	$1$	$1$	$0$	$-1$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{5}-4q^{7}+q^{9}+6q^{13}+\cdots$
2904.2.a.b	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.a	$1$	$0$	$0$	$-1$	$-4$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{5}+4q^{7}+q^{9}-6q^{13}+\cdots$
2904.2.a.c	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓				24.2.a.a	$1$	$0$	$0$	$-1$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{5}+q^{9}+2q^{13}+2q^{15}+\cdots$
2904.2.a.d	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.d	$1$	$0$	$0$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}+3q^{17}+\cdots$
2904.2.a.e	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.d	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+q^{13}+q^{15}-3q^{17}+\cdots$
2904.2.a.f	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.f	$1$	$0$	$0$	$-1$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots$
2904.2.a.g	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓				264.2.a.a	$1$	$1$	$0$	$-1$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots$
2904.2.a.h	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.f	$1$	$1$	$0$	$-1$	$2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+2q^{7}+q^{9}-2q^{15}+\cdots$
2904.2.a.i	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓				264.2.a.b	$1$	$0$	$0$	$1$	$-2$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}-4q^{7}+q^{9}-6q^{13}+\cdots$
2904.2.a.j	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.j	$1$	$1$	$0$	$1$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}-2q^{7}+q^{9}+4q^{13}+\cdots$
2904.2.a.k	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.j	$1$	$0$	$0$	$1$	$-2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+2q^{7}+q^{9}-4q^{13}+\cdots$
2904.2.a.l	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓				264.2.a.c	$1$	$1$	$0$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{7}+q^{9}+2q^{17}-8q^{19}+\cdots$
2904.2.a.m	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.m	$1$	$0$	$0$	$1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}+6q^{13}+4q^{17}+\cdots$
2904.2.a.n	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓	✓			2904.2.a.m	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-6q^{13}-4q^{17}+\cdots$
2904.2.a.o	$2904$	$2$	2904.a	1.a	$1$	$1$	$1$	$23.189$	$\Q$	$_{}$	None	None	✓				264.2.a.d	$1$	$0$	$0$	$1$	$4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+4q^{5}+2q^{7}+q^{9}+4q^{15}+\cdots$
2904.2.a.p	$2904$	$2$	2904.a	1.a	$1$	$2$	$2$	$23.189$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓		✓		264.2.q.d	$1$	$1$	$0$	$-2$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-\beta q^{5}+(1-2\beta )q^{7}+q^{9}+(-3+\cdots)q^{13}+\cdots$
2904.2.a.q	$2904$	$2$	2904.a	1.a	$1$	$2$	$2$	$23.189$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓				264.2.q.d	$1$	$1$	$0$	$-2$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-\beta q^{5}+(-1+2\beta )q^{7}+q^{9}+\cdots$
2904.2.a.r	$2904$	$2$	2904.a	1.a	$1$	$2$	$2$	$23.189$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓				264.2.q.c	$1$	$1$	$0$	$2$	$-5$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-2-\beta )q^{5}+(-3+2\beta )q^{7}+\cdots$
2904.2.a.s	$2904$	$2$	2904.a	1.a	$1$	$2$	$2$	$23.189$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓				264.2.q.c	$1$	$1$	$0$	$2$	$-5$	$4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-2-\beta )q^{5}+(3-2\beta )q^{7}+q^{9}+\cdots$
2904.2.a.t	$2904$	$2$	2904.a	1.a	$1$	$2$	$2$	$23.189$	$\Q(\sqrt{33}) $	$_{}$	None	None	✓	✓			2904.2.a.t	$1$	$1$	$0$	$2$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-\beta q^{5}+(-1+\beta )q^{7}+q^{9}+(-2+\cdots)q^{13}+\cdots$

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