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 83 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
935.1.h.a	$935$	$1$	935.h	935.h	$2$	$3$	$3$	$0.467$	$\Q(\zeta_{14})^+$	$D_{7}$	$\Q(\sqrt{-935}) $	None	✓	✓			935.1.h.a	$2$	$0$	$-1$	$-1$	$3$	$0$		$1$		$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{4}+q^{5}+\cdots$
935.1.h.b	$935$	$1$	935.h	935.h	$2$	$3$	$3$	$0.467$	$\Q(\zeta_{14})^+$	$D_{7}$	$\Q(\sqrt{-935}) $	None	✓	✓			935.1.h.a	$2$	$0$	$-1$	$1$	$-3$	$0$		$1$		$q+\beta _{2}q^{2}+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{4}-q^{5}+\cdots$
935.1.h.c	$935$	$1$	935.h	935.h	$2$	$3$	$3$	$0.467$	$\Q(\zeta_{14})^+$	$D_{7}$	$\Q(\sqrt{-935}) $	None	✓	✓			935.1.h.a	$2$	$0$	$1$	$-1$	$3$	$0$		$1$		$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{4}+q^{5}+\cdots$
935.1.h.d	$935$	$1$	935.h	935.h	$2$	$3$	$3$	$0.467$	$\Q(\zeta_{14})^+$	$D_{7}$	$\Q(\sqrt{-935}) $	None	✓	✓			935.1.h.a	$2$	$0$	$1$	$1$	$-3$	$0$		$1$		$q-\beta _{2}q^{2}+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{4}-q^{5}+\cdots$
935.1.h.e	$935$	$1$	935.h	935.h	$2$	$4$	$4$	$0.467$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-55}) $	None		✓	✓		935.1.h.e	$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+q^{4}+\zeta_{8}^{2}q^{5}+(\zeta_{8}+\cdots)q^{7}+\cdots$
935.1.j.a	$935$	$1$	935.j	935.j	$4$	$8$	$4$	$0.467$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-55}) $	None		✓	✓	✓	935.1.j.a	$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{16}-\zeta_{16}^{7})q^{2}+(-1+\zeta_{16}^{2}+\cdots)q^{4}+\cdots$
935.1.y.a	$935$	$1$	935.y	935.y	$8$	$16$	$4$	$0.467$	$\Q(\zeta_{32})$	$D_{16}$	$\Q(\sqrt{-55}) $	None		✓	✓	✓	935.1.y.a	$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{32}^{11}-\zeta_{32}^{13})q^{2}+(-\zeta_{32}^{6}+\zeta_{32}^{8}+\cdots)q^{4}+\cdots$
935.2.a.a	$935$	$2$	935.a	1.a	$1$	$1$	$1$	$7.466$	$\Q$	$_{}$	None	None	✓	✓			935.2.a.a	$1$	$1$	$0$	$-2$	$-1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{4}-q^{5}+3q^{7}+q^{9}+q^{11}+\cdots$
935.2.a.b	$935$	$2$	935.a	1.a	$1$	$1$	$1$	$7.466$	$\Q$	$_{}$	None	None	✓	✓			935.2.a.b	$1$	$0$	$0$	$-2$	$1$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{4}+q^{5}+5q^{7}+q^{9}-q^{11}+\cdots$
935.2.a.c	$935$	$2$	935.a	1.a	$1$	$3$	$3$	$7.466$	$\Q(\zeta_{14})^+$	$_{}$	None	None	✓	✓	✓	✓	935.2.a.c	$1$	$1$	$-2$	$-1$	$3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+\cdots$
935.2.a.d	$935$	$2$	935.a	1.a	$1$	$3$	$3$	$7.466$	3.3.169.1	$_{}$	None	None	✓	✓	✓		935.2.a.d	$1$	$1$	$-2$	$-1$	$-3$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+\cdots$
935.2.a.e	$935$	$2$	935.a	1.a	$1$	$3$	$3$	$7.466$	$\Q(\zeta_{18})^+$	$_{}$	None	None	✓	✓	✓	✓	935.2.a.e	$1$	$1$	$0$	$-3$	$3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+\beta _{2}q^{4}+q^{5}+\cdots$
935.2.a.f	$935$	$2$	935.a	1.a	$1$	$3$	$3$	$7.466$	3.3.321.1	$_{}$	None	None	✓	✓			935.2.a.f	$1$	$0$	$1$	$1$	$-3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots$
935.2.a.g	$935$	$2$	935.a	1.a	$1$	$4$	$4$	$7.466$	4.4.2777.1	$_{}$	None	None	✓	✓	✓	✓	935.2.a.g	$1$	$1$	$0$	$-1$	$-4$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(1-\beta _{3})q^{4}-q^{5}+\cdots$
935.2.a.h	$935$	$2$	935.a	1.a	$1$	$6$	$6$	$7.466$	6.6.381812160.1	$_{}$	None	None	✓	✓	✓		935.2.a.h	$1$	$0$	$-2$	$4$	$-6$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$
935.2.a.i	$935$	$2$	935.a	1.a	$1$	$9$	$9$	$7.466$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	$_{}$	None	None	✓	✓	✓	✓	935.2.a.i	$1$	$0$	$3$	$3$	$-9$	$8$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{3}+\beta _{4})q^{4}+\cdots$
935.2.a.j	$935$	$2$	935.a	1.a	$1$	$11$	$11$	$7.466$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	✓	✓		935.2.a.j	$1$	$0$	$-1$	$5$	$11$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+q^{5}+\cdots$
935.2.a.k	$935$	$2$	935.a	1.a	$1$	$11$	$11$	$7.466$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	✓	✓	✓	935.2.a.k	$1$	$0$	$0$	$1$	$11$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$
935.2.b.a	$935$	$2$	935.b	5.b	$2$	$36$	$36$	$7.466$		$_{}$	None	None		✓			935.2.b.a	$2$	$0$	$0$	$0$	$4$	$0$			$\mathrm{SU}(2)[C_{2}]$
935.2.b.b	$935$	$2$	935.b	5.b	$2$	$44$	$44$	$7.466$		$_{}$	None	None		✓	✓		935.2.b.b	$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
935.2.e.a	$935$	$2$	935.e	85.c	$2$	$88$	$88$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.e.a	$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
935.2.f.a	$935$	$2$	935.f	17.b	$2$	$26$	$26$	$7.466$		$_{}$	None	None		✓			935.2.f.a	$2$	$0$	$6$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
935.2.f.b	$935$	$2$	935.f	17.b	$2$	$34$	$34$	$7.466$		$_{}$	None	None		✓	✓		935.2.f.b	$2$	$0$	$-6$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
935.2.i.a	$935$	$2$	935.i	17.c	$4$	$52$	$26$	$7.466$		$_{}$	None	None		✓			935.2.i.a	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.i.b	$935$	$2$	935.i	17.c	$4$	$68$	$34$	$7.466$		$_{}$	None	None		✓	✓		935.2.i.b	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.l.a	$935$	$2$	935.l	935.l	$4$	$208$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.l.a	$4$	$0$	$0$	$0$	$-8$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.m.a	$935$	$2$	935.m	55.e	$4$	$192$	$96$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.m.a	$4$	$0$	$0$	$4$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.p.a	$935$	$2$	935.p	935.p	$4$	$208$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.p.a	$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.q.a	$935$	$2$	935.q	935.q	$4$	$208$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.l.a	$4$	$0$	$0$	$-8$	$-8$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.s.a	$935$	$2$	935.s	85.j	$4$	$176$	$88$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.s.a	$4$	$0$	$0$	$0$	$4$	$0$			$\mathrm{SU}(2)[C_{4}]$
935.2.u.a	$935$	$2$	935.u	11.c	$5$	$4$	$1$	$7.466$	$\Q(\zeta_{10})$	$_{}$	None	None		✓			935.2.u.a	$2$	$0$	$-3$	$-3$	$-1$	$6$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(-1+\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots$
935.2.u.b	$935$	$2$	935.u	11.c	$5$	$4$	$1$	$7.466$	$\Q(\zeta_{10})$	$_{}$	None	None		✓			935.2.u.b	$2$	$0$	$5$	$-3$	$-1$	$0$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$
935.2.u.c	$935$	$2$	935.u	11.c	$5$	$8$	$2$	$7.466$	8.0.324000000.3	$_{}$	None	None		✓			935.2.u.c	$2$	$0$	$2$	$-4$	$2$	$-10$		$1$	$\mathrm{SU}(2)[C_{5}]$	$q-\beta _{4}q^{2}+(-1-\beta _{2}-\beta _{4}-\beta _{7})q^{3}+\cdots$
935.2.u.d	$935$	$2$	935.u	11.c	$5$	$52$	$13$	$7.466$		$_{}$	None	None		✓			935.2.u.d	$2$	$0$	$3$	$6$	$-13$	$0$			$\mathrm{SU}(2)[C_{5}]$
935.2.u.e	$935$	$2$	935.u	11.c	$5$	$60$	$15$	$7.466$		$_{}$	None	None		✓			935.2.u.e	$2$	$0$	$-1$	$10$	$15$	$14$			$\mathrm{SU}(2)[C_{5}]$
935.2.u.f	$935$	$2$	935.u	11.c	$5$	$60$	$15$	$7.466$		$_{}$	None	None		✓			935.2.u.f	$2$	$0$	$1$	$-6$	$15$	$6$			$\mathrm{SU}(2)[C_{5}]$
935.2.u.g	$935$	$2$	935.u	11.c	$5$	$68$	$17$	$7.466$		$_{}$	None	None		✓	✓		935.2.u.g	$2$	$0$	$1$	$0$	$-17$	$-8$			$\mathrm{SU}(2)[C_{5}]$
935.2.w.a	$935$	$2$	935.w	935.w	$8$	$416$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.w.a	$4$	$0$	$0$	$-8$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
935.2.x.a	$935$	$2$	935.x	17.d	$8$	$104$	$26$	$7.466$		$_{}$	None	None		✓			935.2.x.a	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
935.2.x.b	$935$	$2$	935.x	17.d	$8$	$136$	$34$	$7.466$		$_{}$	None	None		✓	✓		935.2.x.b	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
935.2.z.a	$935$	$2$	935.z	85.m	$8$	$368$	$92$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.z.a	$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
935.2.bc.a	$935$	$2$	935.bc	935.ac	$8$	$416$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.w.a	$4$	$0$	$0$	$-8$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
935.2.bf.a	$935$	$2$	935.bf	187.j	$10$	$288$	$72$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bf.a	$4$	$0$	$4$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
935.2.bg.a	$935$	$2$	935.bg	935.ag	$10$	$416$	$104$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bg.a	$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{10}]$
935.2.bj.a	$935$	$2$	935.bj	55.j	$10$	$384$	$96$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bj.a	$4$	$0$	$0$	$0$	$2$	$0$			$\mathrm{SU}(2)[C_{10}]$
935.2.bl.a	$935$	$2$	935.bl	85.o	$16$	$720$	$90$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bl.a	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{16}]$
935.2.bm.a	$935$	$2$	935.bm	187.m	$16$	$576$	$72$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bm.a	$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{16}]$
935.2.bp.a	$935$	$2$	935.bp	935.ap	$16$	$64$	$8$	$7.466$		$_{}$	$\Q(\sqrt{-55}) $	None		✓			935.2.bp.a	$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{U}(1)[D_{16}]$
935.2.bp.b	$935$	$2$	935.bp	935.ap	$16$	$768$	$96$	$7.466$		$_{}$	None	None		✓	✓		935.2.bp.b	$8$	$0$	$0$	$0$	$-16$	$0$			$\mathrm{SU}(2)[C_{16}]$
935.2.bq.a	$935$	$2$	935.bq	85.r	$16$	$720$	$90$	$7.466$		$_{}$	None	None		✓	✓	✓	935.2.bl.a	$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{16}]$

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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.