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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 (33 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
196.1.c.a	$196$	$1$	196.c	4.b	$2$	$1$	$1$	$0.098$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots$
196.1.g.a	$196$	$1$	196.g	28.g	$6$	$2$	$1$	$0.098$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $		$8$	$0$	$1$	$0$	$0$	$0$	$1$		$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{9}+\cdots$
336.1.o.a	$336$	$1$	336.o	84.h	$2$	$1$	$1$	$0.168$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$-1$	$0$	$1$	$1$		$q-q^{3}+q^{7}+q^{9}+2q^{19}-q^{21}-q^{25}+\cdots$
336.1.o.b	$336$	$1$	336.o	84.h	$2$	$1$	$1$	$0.168$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$1$	$0$	$-1$	$1$		$q+q^{3}-q^{7}+q^{9}-2q^{19}-q^{21}-q^{25}+\cdots$
868.1.c.a	$868$	$1$	868.c	868.c	$2$	$1$	$1$	$0.433$	$\Q$	$D_{2}$	$\Q(\sqrt{-31}) $, $\Q(\sqrt{-217}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$0$	$0$	$-1$	$1$		$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{9}+q^{14}+\cdots$
868.1.c.b	$868$	$1$	868.c	868.c	$2$	$1$	$1$	$0.433$	$\Q$	$D_{2}$	$\Q(\sqrt{-31}) $, $\Q(\sqrt{-217}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{14}+\cdots$
1316.1.h.a	$1316$	$1$	1316.h	1316.h	$2$	$1$	$1$	$0.657$	$\Q$	$D_{2}$	$\Q(\sqrt{-47}) $, $\Q(\sqrt{-329}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$-2$	$0$	$1$	$1$		$q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots$
1316.1.h.b	$1316$	$1$	1316.h	1316.h	$2$	$1$	$1$	$0.657$	$\Q$	$D_{2}$	$\Q(\sqrt{-47}) $, $\Q(\sqrt{-329}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$2$	$0$	$-1$	$1$		$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots$
1344.1.o.a	$1344$	$1$	1344.o	84.h	$2$	$1$	$1$	$0.671$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$-1$	$0$	$-1$	$1$		$q-q^{3}-q^{7}+q^{9}+2q^{19}+q^{21}-q^{25}+\cdots$
1344.1.o.b	$1344$	$1$	1344.o	84.h	$2$	$1$	$1$	$0.671$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$1$	$0$	$1$	$1$		$q+q^{3}+q^{7}+q^{9}-2q^{19}+q^{21}-q^{25}+\cdots$
1764.1.g.a	$1764$	$1$	1764.g	4.b	$2$	$1$	$1$	$0.880$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}+q^{4}+q^{8}+q^{16}-q^{25}+2q^{29}+\cdots$
1764.1.y.a	$1764$	$1$	1764.y	28.g	$6$	$2$	$1$	$0.880$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $		$8$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+q^{8}-\zeta_{6}q^{16}+\cdots$
2128.1.c.a	$2128$	$1$	2128.c	532.b	$2$	$1$	$1$	$1.062$	$\Q$	$D_{2}$	$\Q(\sqrt{-19}) $, $\Q(\sqrt{-133}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q-q^{7}+q^{9}+q^{19}+q^{25}+2q^{47}+\cdots$
2128.1.c.b	$2128$	$1$	2128.c	532.b	$2$	$1$	$1$	$1.062$	$\Q$	$D_{2}$	$\Q(\sqrt{-19}) $, $\Q(\sqrt{-133}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+q^{7}+q^{9}-q^{19}+q^{25}-2q^{47}+\cdots$
2352.1.z.b	$2352$	$1$	2352.z	84.j	$6$	$2$	$1$	$1.174$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $		$8$	$0$	$0$	$-1$	$0$	$0$	$1$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\cdots$
2352.1.z.c	$2352$	$1$	2352.z	84.j	$6$	$2$	$1$	$1.174$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{7}) $		$8$	$0$	$0$	$1$	$0$	$0$	$1$		$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\cdots$
2436.1.j.a	$2436$	$1$	2436.j	2436.j	$2$	$1$	$1$	$1.216$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-609}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$-1$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
2436.1.j.b	$2436$	$1$	2436.j	2436.j	$2$	$1$	$1$	$1.216$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-609}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$1$	$0$	$1$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
2436.1.j.c	$2436$	$1$	2436.j	2436.j	$2$	$1$	$1$	$1.216$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-609}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$-1$	$0$	$1$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
2436.1.j.d	$2436$	$1$	2436.j	2436.j	$2$	$1$	$1$	$1.216$	$\Q$	$D_{2}$	$\Q(\sqrt{-87}) $, $\Q(\sqrt{-609}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$1$	$0$	$-1$	$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
2688.1.e.a	$2688$	$1$	2688.e	168.e	$2$	$1$	$1$	$1.341$	$\Q$	$D_{2}$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$-1$	$0$	$-1$	$1$		$q-q^{3}-q^{7}+q^{9}+q^{21}+q^{25}-q^{27}+\cdots$
2688.1.e.b	$2688$	$1$	2688.e	168.e	$2$	$1$	$1$	$1.341$	$\Q$	$D_{2}$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$-1$	$0$	$1$	$1$		$q-q^{3}+q^{7}+q^{9}-q^{21}+q^{25}-q^{27}+\cdots$
2688.1.e.c	$2688$	$1$	2688.e	168.e	$2$	$1$	$1$	$1.341$	$\Q$	$D_{2}$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$1$	$0$	$-1$	$1$		$q+q^{3}-q^{7}+q^{9}-q^{21}+q^{25}+q^{27}+\cdots$
2688.1.e.d	$2688$	$1$	2688.e	168.e	$2$	$1$	$1$	$1.341$	$\Q$	$D_{2}$	$\Q(\sqrt{-6}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$1$	$0$	$1$	$1$		$q+q^{3}+q^{7}+q^{9}+q^{21}+q^{25}+q^{27}+\cdots$
2800.1.v.a	$2800$	$1$	2800.v	140.j	$4$	$4$	$2$	$1.397$	$\Q(\zeta_{8})$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-35}) $	$\Q(\sqrt{7}) $		$16$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{8}q^{3}+\zeta_{8}^{3}q^{7}+3\zeta_{8}^{2}q^{9}+2q^{21}+\cdots$
2884.1.e.a	$2884$	$1$	2884.e	2884.e	$2$	$1$	$1$	$1.439$	$\Q$	$D_{2}$	$\Q(\sqrt{-103}) $, $\Q(\sqrt{-721}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$0$	$0$	$-1$	$1$		$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{14}+\cdots$
2884.1.e.b	$2884$	$1$	2884.e	2884.e	$2$	$1$	$1$	$1.439$	$\Q$	$D_{2}$	$\Q(\sqrt{-103}) $, $\Q(\sqrt{-721}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$0$	$0$	$1$	$1$		$q+q^{2}+q^{4}+q^{7}+q^{8}+q^{9}+q^{14}+\cdots$
3108.1.h.a	$3108$	$1$	3108.h	3108.h	$2$	$1$	$1$	$1.551$	$\Q$	$D_{2}$	$\Q(\sqrt{-111}) $, $\Q(\sqrt{-777}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$-1$	$0$	$1$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
3108.1.h.b	$3108$	$1$	3108.h	3108.h	$2$	$1$	$1$	$1.551$	$\Q$	$D_{2}$	$\Q(\sqrt{-111}) $, $\Q(\sqrt{-777}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$-1$	$1$	$0$	$-1$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
3108.1.h.c	$3108$	$1$	3108.h	3108.h	$2$	$1$	$1$	$1.551$	$\Q$	$D_{2}$	$\Q(\sqrt{-111}) $, $\Q(\sqrt{-777}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$-1$	$0$	$1$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
3108.1.h.d	$3108$	$1$	3108.h	3108.h	$2$	$1$	$1$	$1.551$	$\Q$	$D_{2}$	$\Q(\sqrt{-111}) $, $\Q(\sqrt{-777}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$1$	$1$	$0$	$-1$	$1$		$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
3136.1.d.a	$3136$	$1$	3136.d	4.b	$2$	$1$	$1$	$1.565$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+q^{9}-q^{25}+2q^{29}+2q^{37}-2q^{53}+\cdots$
3136.1.r.a	$3136$	$1$	3136.r	28.g	$6$	$2$	$1$	$1.565$	$\Q(\sqrt{-3}) $	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{7}) $		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{25}+q^{29}-\zeta_{6}q^{37}+\cdots$

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Elliptic curves over $\Q$
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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.