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 54 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	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
2890.2.a.a	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.b	$1$	$1$	$-1$	$-3$	$-1$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-4q^{7}+\cdots$
2890.2.a.b	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.a.d	$1$	$0$	$-1$	$-3$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-2q^{7}+\cdots$
2890.2.a.c	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.c	$1$	$0$	$-1$	$-3$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}+q^{7}+\cdots$
2890.2.a.d	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.d	$1$	$0$	$-1$	$-2$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots$
2890.2.a.e	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.a.c	$1$	$1$	$-1$	$-1$	$-1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots$
2890.2.a.f	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.c	$1$	$1$	$-1$	$0$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}-3q^{9}+\cdots$
2890.2.a.g	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.c	$1$	$0$	$-1$	$0$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots$
2890.2.a.h	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.a.b	$1$	$1$	$-1$	$2$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}+2q^{7}+\cdots$
2890.2.a.i	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.a.a	$1$	$0$	$-1$	$2$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-2q^{7}+\cdots$
2890.2.a.j	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.d	$1$	$0$	$-1$	$2$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\cdots$
2890.2.a.k	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.c	$1$	$0$	$-1$	$3$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}-q^{7}+\cdots$
2890.2.a.l	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.b	$1$	$0$	$-1$	$3$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}+q^{5}-3q^{6}+4q^{7}+\cdots$
2890.2.a.m	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.a	$1$	$0$	$1$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
2890.2.a.n	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.a.e	$1$	$1$	$1$	$-1$	$1$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots$
2890.2.a.o	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.o	$1$	$1$	$1$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2890.2.a.p	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓	✓			2890.2.a.o	$1$	$1$	$1$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2890.2.a.q	$2890$	$2$	2890.a	1.a	$1$	$1$	$1$	$23.077$	$\Q$	None	✓				170.2.b.a	$1$	$1$	$1$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
2890.2.a.r	$2890$	$2$	2890.a	1.a	$1$	$2$	$2$	$23.077$	$\Q(\sqrt{19}) $	None	✓	✓			2890.2.a.r	$1$	$1$	$-2$	$-2$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-\beta q^{7}+\cdots$
2890.2.a.s	$2890$	$2$	2890.a	1.a	$1$	$2$	$2$	$23.077$	$\Q(\sqrt{19}) $	None	✓	✓			2890.2.a.r	$1$	$1$	$-2$	$2$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+\beta q^{7}+\cdots$
2890.2.a.t	$2890$	$2$	2890.a	1.a	$1$	$2$	$2$	$23.077$	$\Q(\sqrt{2}) $	None	✓		✓		170.2.h.a	$1$	$1$	$2$	$-2$	$2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
2890.2.a.u	$2890$	$2$	2890.a	1.a	$1$	$2$	$2$	$23.077$	$\Q(\sqrt{17}) $	None	✓				170.2.a.f	$1$	$0$	$2$	$1$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}-2\beta q^{7}+\cdots$
2890.2.a.v	$2890$	$2$	2890.a	1.a	$1$	$2$	$2$	$23.077$	$\Q(\sqrt{2}) $	None	✓				170.2.h.a	$1$	$0$	$2$	$2$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots$
2890.2.a.w	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	$\Q(\zeta_{18})^+$	None	✓	✓			2890.2.a.w	$1$	$0$	$-3$	$0$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(-3\beta _{1}+\beta _{2})q^{7}+\cdots$
2890.2.a.x	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	$\Q(\zeta_{18})^+$	None	✓	✓			2890.2.a.x	$1$	$1$	$-3$	$0$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
2890.2.a.y	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	$\Q(\zeta_{18})^+$	None	✓	✓			2890.2.a.w	$1$	$0$	$-3$	$0$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(3\beta _{1}-\beta _{2})q^{7}-q^{8}+\cdots$
2890.2.a.z	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	$\Q(\zeta_{18})^+$	None	✓	✓			2890.2.a.x	$1$	$1$	$-3$	$0$	$3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.a.ba	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	3.3.1304.1	None	✓	✓			2890.2.a.ba	$1$	$0$	$3$	$0$	$-3$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.a.bb	$2890$	$2$	2890.a	1.a	$1$	$3$	$3$	$23.077$	3.3.1304.1	None	✓	✓			2890.2.a.ba	$1$	$0$	$3$	$0$	$3$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
2890.2.a.bc	$2890$	$2$	2890.a	1.a	$1$	$4$	$4$	$23.077$	$\Q(\zeta_{16})^+$	None	✓		✓		170.2.k.a	$1$	$1$	$-4$	$-4$	$4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{2}+\beta _{3})q^{3}+q^{4}+q^{5}+\cdots$
2890.2.a.bd	$2890$	$2$	2890.a	1.a	$1$	$4$	$4$	$23.077$	4.4.37952.1	None	✓		✓		170.2.h.b	$1$	$1$	$-4$	$-2$	$-4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
2890.2.a.be	$2890$	$2$	2890.a	1.a	$1$	$4$	$4$	$23.077$	4.4.37952.1	None	✓		✓		170.2.h.b	$1$	$0$	$-4$	$2$	$4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.a.bf	$2890$	$2$	2890.a	1.a	$1$	$4$	$4$	$23.077$	$\Q(\zeta_{16})^+$	None	✓		✓		170.2.k.a	$1$	$0$	$-4$	$4$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}-q^{5}+\cdots$
2890.2.a.bg	$2890$	$2$	2890.a	1.a	$1$	$6$	$6$	$23.077$	6.6.37902897.1	None	✓	✓	✓		2890.2.a.bg	$1$	$0$	$6$	$0$	$-6$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
2890.2.a.bh	$2890$	$2$	2890.a	1.a	$1$	$6$	$6$	$23.077$	6.6.37902897.1	None	✓	✓			2890.2.a.bg	$1$	$0$	$6$	$0$	$6$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.a.bi	$2890$	$2$	2890.a	1.a	$1$	$8$	$8$	$23.077$	8.8.$\cdots$.1	None	✓		✓		170.2.k.b	$1$	$1$	$8$	$-4$	$-8$	$-8$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-\beta _{1}+\beta _{4})q^{3}+q^{4}-q^{5}+\cdots$
2890.2.a.bj	$2890$	$2$	2890.a	1.a	$1$	$8$	$8$	$23.077$	8.8.$\cdots$.1	None	✓		✓		170.2.k.b	$1$	$0$	$8$	$4$	$8$	$8$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+q^{5}+(\beta _{1}+\cdots)q^{6}+\cdots$
2890.2.b.a	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None		✓			2890.2.a.o	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+i q^{3}+q^{4}-i q^{5}-i q^{6}+\cdots$
2890.2.b.b	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None					170.2.a.e	$2$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+i q^{3}+q^{4}-i q^{5}-i q^{6}+\cdots$
2890.2.b.c	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None		✓			2890.2.a.c	$2$	$1$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+3 i q^{3}+q^{4}-i q^{5}+3 i q^{6}+\cdots$
2890.2.b.d	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None					170.2.a.d	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+3 i q^{3}+q^{4}-i q^{5}+3 i q^{6}+\cdots$
2890.2.b.e	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None					170.2.a.b	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+2 i q^{3}+q^{4}-i q^{5}+2 i q^{6}+\cdots$
2890.2.b.f	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None		✓			2890.2.a.d	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+2 i q^{3}+q^{4}+i q^{5}+2 i q^{6}+\cdots$
2890.2.b.g	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None					170.2.a.a	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+2 i q^{3}+q^{4}+i q^{5}+2 i q^{6}+\cdots$
2890.2.b.h	$2890$	$2$	2890.b	17.b	$2$	$2$	$2$	$23.077$	$\Q(\sqrt{-1}) $	None					170.2.a.c	$2$	$0$	$2$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+i q^{3}+q^{4}+i q^{5}+i q^{6}+\cdots$
2890.2.b.i	$2890$	$2$	2890.b	17.b	$2$	$4$	$4$	$23.077$	$\Q(i, \sqrt{17})$	None					170.2.a.f	$2$	$0$	$-4$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.b.j	$2890$	$2$	2890.b	17.b	$2$	$4$	$4$	$23.077$	$\Q(\zeta_{8})$	None					170.2.h.a	$2$	$0$	$-4$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+(\beta_{2}+\beta_1)q^{3}+q^{4}-\beta_1 q^{5}+\cdots$
2890.2.b.k	$2890$	$2$	2890.b	17.b	$2$	$4$	$4$	$23.077$	$\Q(i, \sqrt{19})$	None		✓			2890.2.a.r	$2$	$0$	$4$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{1}q^{6}+\cdots$
2890.2.b.l	$2890$	$2$	2890.b	17.b	$2$	$6$	$6$	$23.077$	6.0.27206656.1	None		✓			2890.2.a.ba	$2$	$0$	$-6$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}-\beta _{5}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{5}q^{6}+\cdots$
2890.2.b.m	$2890$	$2$	2890.b	17.b	$2$	$6$	$6$	$23.077$	6.0.419904.1	None		✓			2890.2.a.x	$2$	$0$	$6$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$
2890.2.b.n	$2890$	$2$	2890.b	17.b	$2$	$6$	$6$	$23.077$	6.0.419904.1	None		✓			2890.2.a.w	$2$	$0$	$6$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}+\beta _{3}q^{5}+(-3\beta _{1}-2\beta _{5})q^{7}+\cdots$

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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.