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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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Results (27 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
889.1.ce.a	$889$	$1$	889.ce	889.be	$126$	$36$	$1$	$0.444$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{126}^{14}+\zeta_{126}^{58})q^{2}+(-\zeta_{126}^{9}+\zeta_{126}^{28}+\cdots)q^{4}+\cdots$
1137.1.ba.a	$1137$	$1$	1137.ba	1137.aa	$126$	$36$	$1$	$0.567$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{4}q^{3}+\zeta_{126}^{58}q^{4}+(-\zeta_{126}^{19}+\cdots)q^{7}+\cdots$
1349.1.t.b	$1349$	$1$	1349.t	1349.t	$18$	$36$	$6$	$0.673$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$0$	$-6$	$3$	$0$	$1$		$q+(\zeta_{126}^{2}-\zeta_{126}^{5})q^{2}+(\zeta_{126}^{36}-\zeta_{126}^{55}+\cdots)q^{3}+\cdots$
1519.1.ce.a	$1519$	$1$	1519.ce	1519.be	$42$	$36$	$3$	$0.758$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}^{43}-\zeta_{126}^{59})q^{2}+(-\zeta_{126}^{23}+\cdots)q^{4}+\cdots$
1524.1.bp.a	$1524$	$1$	1524.bp	381.w	$126$	$36$	$1$	$0.761$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{32}q^{3}+(-\zeta_{126}^{17}-\zeta_{126}^{35}+\cdots)q^{7}+\cdots$
1917.1.s.b	$1917$	$1$	1917.s	1917.s	$18$	$36$	$6$	$0.957$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$-6$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}^{5}-\zeta_{126}^{9})q^{2}+\zeta_{126}^{8}q^{3}+\cdots$
2271.1.bm.a	$2271$	$1$	2271.bm	2271.am	$126$	$36$	$1$	$1.133$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-18$	$0$	$0$	$1$		$q-\zeta_{126}^{21}q^{3}-\zeta_{126}^{53}q^{4}+(\zeta_{126}^{28}+\cdots)q^{7}+\cdots$
2351.1.b.e	$2351$	$1$	2351.b	2351.b	$2$	$18$	$18$	$1.173$	$\Q(\zeta_{63})^+$	$D_{63}$	$\Q(\sqrt{-2351}) $	None	✓	$2$	$0$	$3$	$0$	$0$	$0$	$1$		$q+\beta _{6}q^{2}+(-\beta _{2}+\beta _{4}+\beta _{5}-\beta _{7}+\beta _{8}+\cdots)q^{3}+\cdots$
2451.1.eh.a	$2451$	$1$	2451.eh	2451.dh	$126$	$36$	$1$	$1.223$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{50}q^{3}+\zeta_{126}^{40}q^{4}+(\zeta_{126}^{10}+\cdots)q^{7}+\cdots$
2451.1.ev.a	$2451$	$1$	2451.ev	2451.dv	$126$	$36$	$1$	$1.223$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{10}q^{3}-\zeta_{126}^{29}q^{4}+(\zeta_{126}^{16}+\cdots)q^{7}+\cdots$
2540.1.cp.a	$2540$	$1$	2540.cp	2540.bp	$126$	$36$	$1$	$1.268$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$-6$	$0$	$3$	$3$	$1$		$q+\zeta_{126}^{18}q^{2}+(-\zeta_{126}^{7}+\zeta_{126}^{46})q^{3}+\cdots$
2540.1.cp.b	$2540$	$1$	2540.cp	2540.bp	$126$	$36$	$1$	$1.268$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$6$	$0$	$3$	$-3$	$1$		$q-\zeta_{126}^{18}q^{2}+(\zeta_{126}^{7}-\zeta_{126}^{46})q^{3}+\cdots$
2627.1.y.b	$2627$	$1$	2627.y	2627.y	$18$	$36$	$6$	$1.311$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$0$	$-6$	$3$	$0$	$1$		$q+(-\zeta_{126}^{11}+\zeta_{126}^{38})q^{2}+(-\zeta_{126}^{5}+\cdots)q^{3}+\cdots$
2653.1.cx.a	$2653$	$1$	2653.cx	2653.bx	$126$	$36$	$1$	$1.324$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$3$	$0$	$0$	$0$	$1$		$q+(\zeta_{126}^{6}-\zeta_{126}^{61})q^{2}+(\zeta_{126}^{4}+\zeta_{126}^{12}+\cdots)q^{4}+\cdots$
2667.1.ej.a	$2667$	$1$	2667.ej	2667.dj	$126$	$36$	$1$	$1.331$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{20}q^{3}+\zeta_{126}^{24}q^{4}+\zeta_{126}^{56}q^{7}+\cdots$
2667.1.em.a	$2667$	$1$	2667.em	2667.dm	$126$	$36$	$1$	$1.331$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{126}^{62}q^{3}-\zeta_{126}^{3}q^{4}+\zeta_{126}^{50}q^{7}+\cdots$
2793.1.ei.a	$2793$	$1$	2793.ei	2793.di	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{126}^{59}q^{3}-\zeta_{126}^{37}q^{4}-\zeta_{126}^{43}q^{7}+\cdots$
2793.1.eo.a	$2793$	$1$	2793.eo	2793.do	$126$	$36$	$1$	$1.394$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{126}^{41}q^{3}+\zeta_{126}^{4}q^{4}+\zeta_{126}^{2}q^{7}+\cdots$
2869.1.bj.b	$2869$	$1$	2869.bj	2869.aj	$18$	$36$	$6$	$1.432$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-151}) $	None		$4$	$0$	$0$	$0$	$3$	$0$	$1$		$q+(-\zeta_{126}^{41}+\zeta_{126}^{50})q^{2}+(-\zeta_{126}^{19}+\cdots)q^{4}+\cdots$
2921.1.y.a	$2921$	$1$	2921.y	2921.y	$42$	$36$	$3$	$1.458$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}+\zeta_{126}^{26})q^{2}+(\zeta_{126}^{8}+\zeta_{126}^{16}+\cdots)q^{3}+\cdots$
3028.1.bm.a	$3028$	$1$	3028.bm	3028.am	$126$	$36$	$1$	$1.511$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$3$	$0$	$1$		$q-\zeta_{126}^{17}q^{2}+\zeta_{126}^{34}q^{4}+(\zeta_{126}^{4}+\zeta_{126}^{60}+\cdots)q^{5}+\cdots$
3032.1.cb.a	$3032$	$1$	3032.cb	3032.bb	$126$	$36$	$1$	$1.513$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$-6$	$0$	$0$	$1$		$q-\zeta_{126}^{25}q^{2}+(\zeta_{126}^{18}+\zeta_{126}^{28})q^{3}+\cdots$
3048.1.do.a	$3048$	$1$	3048.do	3048.co	$126$	$36$	$1$	$1.521$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$-6$	$0$	$0$	$3$	$1$		$q-\zeta_{126}^{9}q^{2}+\zeta_{126}^{22}q^{3}+\zeta_{126}^{18}q^{4}+\cdots$
3048.1.do.b	$3048$	$1$	3048.do	3048.co	$126$	$36$	$1$	$1.521$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-6}) $	None		$4$	$0$	$6$	$0$	$0$	$3$	$1$		$q+\zeta_{126}^{9}q^{2}-\zeta_{126}^{22}q^{3}+\zeta_{126}^{18}q^{4}+\cdots$
3429.1.fe.a	$3429$	$1$	3429.fe	381.w	$126$	$36$	$1$	$1.711$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{126}^{27}q^{4}+(-\zeta_{126}^{7}+\zeta_{126}^{58})q^{7}+\cdots$
3521.1.f.c	$3521$	$1$	3521.f	3521.f	$6$	$36$	$18$	$1.757$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-503}) $	None		$4$	$0$	$-3$	$0$	$0$	$0$	$1$		$q+(-\zeta_{126}^{51}+\zeta_{126}^{54})q^{2}+(\zeta_{126}^{40}+\cdots)q^{3}+\cdots$
3879.1.g.c	$3879$	$1$	3879.g	3879.g	$6$	$36$	$18$	$1.936$	$\Q(\zeta_{63})$	$D_{63}$	$\Q(\sqrt{-431}) $	None		$4$	$0$	$6$	$0$	$0$	$0$	$1$		$q+(\zeta_{126}^{48}-\zeta_{126}^{57})q^{2}+\zeta_{126}^{4}q^{3}+\cdots$

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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.