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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 (40 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
192.1.h.a	$192$	$1$	192.h	24.h	$2$	$2$	$2$	$0.096$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-iq^{3}-q^{9}+iq^{19}-q^{25}+iq^{27}+\cdots$
360.1.p.a	$360$	$1$	360.p	40.e	$2$	$1$	$1$	$0.180$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$0$	$1$	$0$	$1$		$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{16}+\cdots$
360.1.p.b	$360$	$1$	360.p	40.e	$2$	$1$	$1$	$0.180$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$0$	$-1$	$0$	$1$		$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{16}+\cdots$
552.1.h.a	$552$	$1$	552.h	552.h	$2$	$1$	$1$	$0.275$	$\Q$	$D_{2}$	$\Q(\sqrt{-23}) $, $\Q(\sqrt{-138}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
552.1.h.b	$552$	$1$	552.h	552.h	$2$	$1$	$1$	$0.275$	$\Q$	$D_{2}$	$\Q(\sqrt{-23}) $, $\Q(\sqrt{-138}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$-1$	$0$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
768.1.e.a	$768$	$1$	768.e	3.b	$2$	$1$	$1$	$0.383$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-q^{3}+q^{9}+2q^{19}+q^{25}-q^{27}+\cdots$
768.1.e.b	$768$	$1$	768.e	3.b	$2$	$1$	$1$	$0.383$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+q^{3}+q^{9}-2q^{19}+q^{25}+q^{27}+\cdots$
1128.1.d.a	$1128$	$1$	1128.d	1128.d	$2$	$1$	$1$	$0.563$	$\Q$	$D_{2}$	$\Q(\sqrt{-47}) $, $\Q(\sqrt{-282}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
1128.1.d.b	$1128$	$1$	1128.d	1128.d	$2$	$1$	$1$	$0.563$	$\Q$	$D_{2}$	$\Q(\sqrt{-47}) $, $\Q(\sqrt{-282}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$-1$	$0$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
1152.1.b.b	$1152$	$1$	1152.b	8.d	$2$	$2$	$2$	$0.575$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$2$		$q-iq^{5}-3q^{25}-iq^{29}+q^{49}+iq^{53}+\cdots$
1440.1.p.a	$1440$	$1$	1440.p	40.e	$2$	$1$	$1$	$0.719$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q-q^{5}+2q^{19}+2q^{23}+q^{25}-2q^{47}+\cdots$
1440.1.p.b	$1440$	$1$	1440.p	40.e	$2$	$1$	$1$	$0.719$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$0$	$1$	$0$	$1$		$q+q^{5}+2q^{19}-2q^{23}+q^{25}+2q^{47}+\cdots$
1704.1.p.a	$1704$	$1$	1704.p	1704.p	$2$	$1$	$1$	$0.850$	$\Q$	$D_{2}$	$\Q(\sqrt{-71}) $, $\Q(\sqrt{-426}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$-1$	$2$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots$
1704.1.p.d	$1704$	$1$	1704.p	1704.p	$2$	$1$	$1$	$0.850$	$\Q$	$D_{2}$	$\Q(\sqrt{-71}) $, $\Q(\sqrt{-426}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$-1$	$-2$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$
1800.1.g.c	$1800$	$1$	1800.g	8.d	$2$	$2$	$2$	$0.898$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-iq^{2}-q^{4}+iq^{8}+q^{16}+q^{19}+\cdots$
1920.1.i.a	$1920$	$1$	1920.i	120.i	$2$	$1$	$1$	$0.958$	$\Q$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$-1$	$-1$	$0$	$1$		$q-q^{3}-q^{5}+q^{9}+q^{15}-2q^{23}+q^{25}+\cdots$
1920.1.i.b	$1920$	$1$	1920.i	120.i	$2$	$1$	$1$	$0.958$	$\Q$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$-1$	$1$	$0$	$1$		$q-q^{3}+q^{5}+q^{9}-q^{15}+2q^{23}+q^{25}+\cdots$
1920.1.i.c	$1920$	$1$	1920.i	120.i	$2$	$1$	$1$	$0.958$	$\Q$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$1$	$-1$	$0$	$1$		$q+q^{3}-q^{5}+q^{9}-q^{15}+2q^{23}+q^{25}+\cdots$
1920.1.i.d	$1920$	$1$	1920.i	120.i	$2$	$1$	$1$	$0.958$	$\Q$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$1$	$1$	$0$	$1$		$q+q^{3}+q^{5}+q^{9}+q^{15}-2q^{23}+q^{25}+\cdots$
2088.1.b.a	$2088$	$1$	2088.b	232.b	$2$	$1$	$1$	$1.042$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-58}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{16}+q^{25}+q^{29}+\cdots$
2088.1.b.b	$2088$	$1$	2088.b	232.b	$2$	$1$	$1$	$1.042$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-58}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}+q^{4}+q^{8}+q^{16}+q^{25}-q^{29}+\cdots$
2208.1.h.a	$2208$	$1$	2208.h	552.h	$2$	$1$	$1$	$1.102$	$\Q$	$D_{2}$	$\Q(\sqrt{-23}) $, $\Q(\sqrt{-138}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+q^{3}+q^{9}-q^{23}+q^{25}+q^{27}+2q^{29}+\cdots$
2208.1.h.b	$2208$	$1$	2208.h	552.h	$2$	$1$	$1$	$1.102$	$\Q$	$D_{2}$	$\Q(\sqrt{-23}) $, $\Q(\sqrt{-138}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+q^{3}+q^{9}+q^{23}+q^{25}+q^{27}-2q^{29}+\cdots$
2280.1.t.a	$2280$	$1$	2280.t	2280.t	$2$	$1$	$1$	$1.138$	$\Q$	$D_{2}$	$\Q(\sqrt{-95}) $, $\Q(\sqrt{-570}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$-1$	$-1$	$0$	$1$		$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
2280.1.t.b	$2280$	$1$	2280.t	2280.t	$2$	$1$	$1$	$1.138$	$\Q$	$D_{2}$	$\Q(\sqrt{-95}) $, $\Q(\sqrt{-570}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$1$	$1$	$0$	$1$		$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
2280.1.t.c	$2280$	$1$	2280.t	2280.t	$2$	$1$	$1$	$1.138$	$\Q$	$D_{2}$	$\Q(\sqrt{-95}) $, $\Q(\sqrt{-570}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$-1$	$1$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
2280.1.t.d	$2280$	$1$	2280.t	2280.t	$2$	$1$	$1$	$1.138$	$\Q$	$D_{2}$	$\Q(\sqrt{-95}) $, $\Q(\sqrt{-570}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$1$	$-1$	$0$	$1$		$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
2304.1.g.a	$2304$	$1$	2304.g	4.b	$2$	$1$	$1$	$1.150$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots$
2304.1.g.c	$2304$	$1$	2304.g	4.b	$2$	$1$	$1$	$1.150$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots$
2904.1.p.b	$2904$	$1$	2904.p	264.p	$2$	$4$	$4$	$1.449$	$\Q(\zeta_{8})$	$D_{4}$	None	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$4$	$0$	$0$	$2$		$q-\zeta_{8}^{2}q^{2}+q^{3}-q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$
2904.1.r.i	$2904$	$1$	2904.r	264.r	$10$	$16$	$4$	$1.449$	$\Q(\zeta_{40})$	$D_{4}$	None	$\Q(\sqrt{6}) $		$32$	$0$	$0$	$-4$	$0$	$0$	$2^{4}$		$q+\zeta_{40}^{2}q^{2}+\zeta_{40}^{16}q^{3}+\zeta_{40}^{4}q^{4}+\cdots$
3072.1.i.g	$3072$	$1$	3072.i	48.i	$4$	$4$	$2$	$1.533$	$\Q(\zeta_{8})$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{6}) $		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}-\zeta_{8}q^{19}-\zeta_{8}^{2}q^{25}+\cdots$
3240.1.z.d	$3240$	$1$	3240.z	360.z	$6$	$2$	$1$	$1.617$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $		$8$	$0$	$-1$	$0$	$1$	$0$	$1$		$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\cdots$
3240.1.z.f	$3240$	$1$	3240.z	360.z	$6$	$2$	$1$	$1.617$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-10}) $	$\Q(\sqrt{6}) $		$8$	$0$	$1$	$0$	$-1$	$0$	$1$		$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots$
3528.1.g.b	$3528$	$1$	3528.g	8.d	$2$	$2$	$2$	$1.761$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-iq^{2}-q^{4}+iq^{8}+q^{16}-iq^{23}+\cdots$
3528.1.bx.c	$3528$	$1$	3528.bx	56.k	$6$	$4$	$2$	$1.761$	$\Q(\zeta_{12})$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{6}) $		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{8}+\zeta_{12}^{4}q^{16}+\cdots$
3816.1.l.b	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	$\Q$	$D_{2}$	$\Q(\sqrt{-159}) $, $\Q(\sqrt{-106}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$-1$	$0$	$2$	$0$	$1$		$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{16}+\cdots$
3816.1.l.c	$3816$	$1$	3816.l	424.e	$2$	$1$	$1$	$1.904$	$\Q$	$D_{2}$	$\Q(\sqrt{-159}) $, $\Q(\sqrt{-106}) $	$\Q(\sqrt{6}) $	✓	$4$	$0$	$1$	$0$	$-2$	$0$	$1$		$q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+q^{16}+\cdots$
3840.1.c.f	$3840$	$1$	3840.c	15.d	$2$	$2$	$2$	$1.916$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-iq^{3}-iq^{5}-q^{9}-q^{15}-q^{23}+\cdots$
3840.1.c.g	$3840$	$1$	3840.c	15.d	$2$	$2$	$2$	$1.916$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-30}) $	$\Q(\sqrt{6}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+iq^{3}-iq^{5}-q^{9}+q^{15}+q^{23}+\cdots$

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Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.