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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4004.2.e.a	$4004$	$2$	4004.e	77.b	$2$	$48$	$48$	$31.972$		None		$2$	$0$	$0$	$0$	$0$	$-4$			$\mathrm{SU}(2)[C_{2}]$
4004.2.e.b	$4004$	$2$	4004.e	77.b	$2$	$48$	$48$	$31.972$		None		$2$	$0$	$0$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{2}]$
4004.2.m.b	$4004$	$2$	4004.m	13.b	$2$	$30$	$30$	$31.972$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
4004.2.m.c	$4004$	$2$	4004.m	13.b	$2$	$36$	$36$	$31.972$		None		$2$	$0$	$0$	$-4$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
4006.2.a.f	$4006$	$2$	4006.a	1.a	$1$	$31$	$31$	$31.988$		None	✓	$1$	$1$	$31$	$-13$	$-23$	$-18$	$+$		$\mathrm{SU}(2)$
4006.2.a.g	$4006$	$2$	4006.a	1.a	$1$	$40$	$40$	$31.988$		None	✓	$1$	$1$	$-40$	$-1$	$-23$	$12$	$+$		$\mathrm{SU}(2)$
4006.2.a.h	$4006$	$2$	4006.a	1.a	$1$	$42$	$42$	$31.988$		None	✓	$1$	$0$	$-42$	$0$	$27$	$-10$	$-$		$\mathrm{SU}(2)$
4006.2.a.i	$4006$	$2$	4006.a	1.a	$1$	$46$	$46$	$31.988$		None	✓	$1$	$0$	$46$	$21$	$23$	$26$	$-$		$\mathrm{SU}(2)$
4009.2.a.c	$4009$	$2$	4009.a	1.a	$1$	$71$	$71$	$32.012$		None	✓	$1$	$1$	$-15$	$-8$	$-18$	$-19$	$+$		$\mathrm{SU}(2)$
4009.2.a.d	$4009$	$2$	4009.a	1.a	$1$	$75$	$75$	$32.012$		None	✓	$1$	$1$	$-11$	$-4$	$-18$	$-19$	$+$		$\mathrm{SU}(2)$
4009.2.a.e	$4009$	$2$	4009.a	1.a	$1$	$82$	$82$	$32.012$		None	✓	$1$	$0$	$15$	$12$	$9$	$14$	$-$		$\mathrm{SU}(2)$
4009.2.a.f	$4009$	$2$	4009.a	1.a	$1$	$83$	$83$	$32.012$		None	✓	$1$	$0$	$11$	$0$	$15$	$19$	$-$		$\mathrm{SU}(2)$
4010.2.a.n	$4010$	$2$	4010.a	1.a	$1$	$22$	$22$	$32.020$		None	✓	$1$	$0$	$22$	$1$	$22$	$0$	$-$		$\mathrm{SU}(2)$
4010.2.a.o	$4010$	$2$	4010.a	1.a	$1$	$22$	$22$	$32.020$		None	✓	$1$	$0$	$22$	$2$	$-22$	$13$	$-$		$\mathrm{SU}(2)$
4011.2.a.j	$4011$	$2$	4011.a	1.a	$1$	$26$	$26$	$32.028$		None	✓	$1$	$0$	$0$	$-26$	$2$	$-26$	$-$		$\mathrm{SU}(2)$
4011.2.a.k	$4011$	$2$	4011.a	1.a	$1$	$27$	$27$	$32.028$		None	✓	$1$	$0$	$9$	$27$	$23$	$27$	$-$		$\mathrm{SU}(2)$
4011.2.a.l	$4011$	$2$	4011.a	1.a	$1$	$28$	$28$	$32.028$		None	✓	$1$	$0$	$-6$	$-28$	$8$	$28$	$-$		$\mathrm{SU}(2)$
4011.2.a.m	$4011$	$2$	4011.a	1.a	$1$	$29$	$29$	$32.028$		None	✓	$1$	$0$	$6$	$29$	$22$	$-29$	$-$		$\mathrm{SU}(2)$
4012.2.a.j	$4012$	$2$	4012.a	1.a	$1$	$21$	$21$	$32.036$		None	✓	$1$	$0$	$0$	$9$	$1$	$11$	$-$		$\mathrm{SU}(2)$
4012.2.b.a	$4012$	$2$	4012.b	17.b	$2$	$40$	$40$	$32.036$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
4012.2.b.b	$4012$	$2$	4012.b	17.b	$2$	$46$	$46$	$32.036$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
4014.2.d.a	$4014$	$2$	4014.d	669.c	$2$	$72$	$72$	$32.052$		None		$4$	$0$	$0$	$0$	$0$	$16$			$\mathrm{SU}(2)[C_{2}]$
4015.2.a.b	$4015$	$2$	4015.a	1.a	$1$	$23$	$23$	$32.060$		None	✓	$1$	$1$	$-5$	$-3$	$23$	$-10$	$+$		$\mathrm{SU}(2)$
4015.2.a.c	$4015$	$2$	4015.a	1.a	$1$	$23$	$23$	$32.060$		None	✓	$1$	$1$	$-3$	$-5$	$23$	$0$	$+$		$\mathrm{SU}(2)$
4015.2.a.d	$4015$	$2$	4015.a	1.a	$1$	$27$	$27$	$32.060$		None	✓	$1$	$0$	$2$	$3$	$-27$	$0$	$-$		$\mathrm{SU}(2)$
4015.2.a.e	$4015$	$2$	4015.a	1.a	$1$	$27$	$27$	$32.060$		None	✓	$1$	$0$	$6$	$5$	$-27$	$10$	$-$		$\mathrm{SU}(2)$
4015.2.a.f	$4015$	$2$	4015.a	1.a	$1$	$31$	$31$	$32.060$		None	✓	$1$	$1$	$-7$	$-4$	$-31$	$-11$	$+$		$\mathrm{SU}(2)$
4015.2.a.g	$4015$	$2$	4015.a	1.a	$1$	$32$	$32$	$32.060$		None	✓	$1$	$1$	$-5$	$-7$	$-32$	$0$	$+$		$\mathrm{SU}(2)$
4015.2.a.h	$4015$	$2$	4015.a	1.a	$1$	$37$	$37$	$32.060$		None	✓	$1$	$0$	$5$	$3$	$37$	$6$	$-$		$\mathrm{SU}(2)$
4015.2.a.i	$4015$	$2$	4015.a	1.a	$1$	$38$	$38$	$32.060$		None	✓	$1$	$0$	$4$	$5$	$38$	$0$	$-$		$\mathrm{SU}(2)$
4016.2.a.m	$4016$	$2$	4016.a	1.a	$1$	$23$	$23$	$32.068$		None	✓	$1$	$0$	$0$	$-2$	$8$	$-2$	$-$		$\mathrm{SU}(2)$
4017.2.a.g	$4017$	$2$	4017.a	1.a	$1$	$24$	$24$	$32.076$		None	✓	$1$	$0$	$3$	$-24$	$3$	$11$	$-$		$\mathrm{SU}(2)$
4017.2.a.h	$4017$	$2$	4017.a	1.a	$1$	$25$	$25$	$32.076$		None	✓	$1$	$1$	$-4$	$-25$	$-5$	$-7$	$+$		$\mathrm{SU}(2)$
4017.2.a.i	$4017$	$2$	4017.a	1.a	$1$	$25$	$25$	$32.076$		None	✓	$1$	$1$	$-2$	$-25$	$-3$	$-11$	$+$		$\mathrm{SU}(2)$
4017.2.a.j	$4017$	$2$	4017.a	1.a	$1$	$25$	$25$	$32.076$		None	✓	$1$	$0$	$6$	$-25$	$7$	$17$	$-$		$\mathrm{SU}(2)$
4017.2.a.k	$4017$	$2$	4017.a	1.a	$1$	$32$	$32$	$32.076$		None	✓	$1$	$0$	$5$	$32$	$7$	$25$	$-$		$\mathrm{SU}(2)$
4017.2.a.l	$4017$	$2$	4017.a	1.a	$1$	$32$	$32$	$32.076$		None	✓	$1$	$0$	$5$	$32$	$1$	$11$	$-$		$\mathrm{SU}(2)$
4020.2.f.a	$4020$	$2$	4020.f	201.d	$2$	$46$	$46$	$32.100$		None		$2$	$0$	$0$	$0$	$-46$	$0$			$\mathrm{SU}(2)[C_{2}]$
4020.2.f.b	$4020$	$2$	4020.f	201.d	$2$	$46$	$46$	$32.100$		None		$2$	$0$	$0$	$0$	$46$	$0$			$\mathrm{SU}(2)[C_{2}]$
4020.2.g.b	$4020$	$2$	4020.g	5.b	$2$	$24$	$24$	$32.100$		None		$2$	$0$	$0$	$0$	$-4$	$0$			$\mathrm{SU}(2)[C_{2}]$
4020.2.g.c	$4020$	$2$	4020.g	5.b	$2$	$38$	$38$	$32.100$		None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
4020.2.q.l	$4020$	$2$	4020.q	67.c	$3$	$22$	$11$	$32.100$		None		$2$	$0$	$0$	$-22$	$-22$	$1$			$\mathrm{SU}(2)[C_{3}]$
4020.2.q.m	$4020$	$2$	4020.q	67.c	$3$	$24$	$12$	$32.100$		None		$2$	$0$	$0$	$24$	$24$	$-3$			$\mathrm{SU}(2)[C_{3}]$
4022.2.a.c	$4022$	$2$	4022.a	1.a	$1$	$31$	$31$	$32.116$		None	✓	$1$	$1$	$31$	$-14$	$-13$	$-29$	$+$		$\mathrm{SU}(2)$
4022.2.a.d	$4022$	$2$	4022.a	1.a	$1$	$37$	$37$	$32.116$		None	✓	$1$	$1$	$-37$	$-5$	$-13$	$-22$	$+$		$\mathrm{SU}(2)$
4022.2.a.e	$4022$	$2$	4022.a	1.a	$1$	$46$	$46$	$32.116$		None	✓	$1$	$0$	$-46$	$8$	$14$	$28$	$-$		$\mathrm{SU}(2)$
4022.2.a.f	$4022$	$2$	4022.a	1.a	$1$	$50$	$50$	$32.116$		None	✓	$1$	$0$	$50$	$18$	$11$	$30$	$-$		$\mathrm{SU}(2)$
4023.2.a.c	$4023$	$2$	4023.a	1.a	$1$	$24$	$24$	$32.124$		None	✓	$1$	$1$	$-7$	$0$	$-12$	$-1$	$+$		$\mathrm{SU}(2)$
4023.2.a.d	$4023$	$2$	4023.a	1.a	$1$	$24$	$24$	$32.124$		None	✓	$1$	$0$	$7$	$0$	$12$	$-1$	$-$		$\mathrm{SU}(2)$
4023.2.a.e	$4023$	$2$	4023.a	1.a	$1$	$25$	$25$	$32.124$		None	✓	$1$	$1$	$-7$	$0$	$-12$	$-2$	$+$		$\mathrm{SU}(2)$

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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.