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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 (1-50 of 6691 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
104.1.h.a	$104$	$1$	104.h	104.h	$2$	$1$	$1$	$0.052$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	✓	$2$	$0$	$-1$	$-1$	$1$	$1$	$1$		$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
104.1.h.b	$104$	$1$	104.h	104.h	$2$	$1$	$1$	$0.052$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	✓	$2$	$0$	$1$	$-1$	$-1$	$-1$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
107.1.b.a	$107$	$1$	107.b	107.b	$2$	$1$	$1$	$0.053$	$\Q$	$D_{3}$	$\Q(\sqrt{-107}) $	None	✓	$2$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots$
108.1.c.a	$108$	$1$	108.c	3.b	$2$	$1$	$1$	$0.054$	$\Q$	$D_{3}$	$\Q(\sqrt{-3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-1$	$1$		$q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots$
111.1.d.a	$111$	$1$	111.d	111.d	$2$	$1$	$1$	$0.055$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-111}) $	$\Q(\sqrt{37}) $	✓	$4$	$0$	$0$	$1$	$0$	$-2$	$1$		$q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots$
116.1.d.a	$116$	$1$	116.d	116.d	$2$	$1$	$1$	$0.058$	$\Q$	$D_{3}$	$\Q(\sqrt{-29}) $	None	✓	$2$	$0$	$-1$	$1$	$-1$	$0$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
116.1.d.b	$116$	$1$	116.d	116.d	$2$	$1$	$1$	$0.058$	$\Q$	$D_{3}$	$\Q(\sqrt{-29}) $	None	✓	$2$	$0$	$1$	$-1$	$-1$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
128.1.d.a	$128$	$1$	128.d	8.d	$2$	$1$	$1$	$0.064$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{2}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots$
135.1.d.a	$135$	$1$	135.d	15.d	$2$	$1$	$1$	$0.067$	$\Q$	$D_{3}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$-1$	$0$	$1$	$0$	$1$		$q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots$
135.1.d.b	$135$	$1$	135.d	15.d	$2$	$1$	$1$	$0.067$	$\Q$	$D_{3}$	$\Q(\sqrt{-15}) $	None	✓	$2$	$0$	$1$	$0$	$-1$	$0$	$1$		$q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots$
136.1.e.a	$136$	$1$	136.e	136.e	$2$	$1$	$1$	$0.068$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-34}) $	$\Q(\sqrt{17}) $	✓	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots$
139.1.b.a	$139$	$1$	139.b	139.b	$2$	$1$	$1$	$0.069$	$\Q$	$D_{3}$	$\Q(\sqrt{-139}) $	None	✓	$2$	$0$	$0$	$0$	$-1$	$-1$	$1$		$q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$
140.1.h.a	$140$	$1$	140.h	35.c	$2$	$1$	$1$	$0.070$	$\Q$	$D_{3}$	$\Q(\sqrt{-35}) $	None	✓	$2$	$0$	$0$	$-1$	$1$	$1$	$1$		$q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots$
140.1.h.b	$140$	$1$	140.h	35.c	$2$	$1$	$1$	$0.070$	$\Q$	$D_{3}$	$\Q(\sqrt{-35}) $	None	✓	$2$	$0$	$0$	$1$	$-1$	$-1$	$1$		$q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots$
144.1.g.a	$144$	$1$	144.g	4.b	$2$	$1$	$1$	$0.072$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-1}) $	$\Q(\sqrt{3}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots$
152.1.g.a	$152$	$1$	152.g	152.g	$2$	$1$	$1$	$0.076$	$\Q$	$D_{3}$	$\Q(\sqrt{-38}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$-1$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
152.1.g.b	$152$	$1$	152.g	152.g	$2$	$1$	$1$	$0.076$	$\Q$	$D_{3}$	$\Q(\sqrt{-38}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$-1$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
155.1.c.a	$155$	$1$	155.c	155.c	$2$	$1$	$1$	$0.077$	$\Q$	$D_{2}$	$\Q(\sqrt{-31}) $, $\Q(\sqrt{-155}) $	$\Q(\sqrt{5}) $	✓	$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots$
164.1.d.a	$164$	$1$	164.d	164.d	$2$	$1$	$1$	$0.082$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-41}) $	$\Q(\sqrt{41}) $	✓	$4$	$0$	$1$	$0$	$-2$	$0$	$1$		$q+q^{2}+q^{4}-2q^{5}+q^{8}-q^{9}-2q^{10}+\cdots$
171.1.c.a	$171$	$1$	171.c	19.b	$2$	$1$	$1$	$0.085$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-19}) $	$\Q(\sqrt{57}) $	✓	$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+q^{4}-2q^{7}+q^{16}-q^{19}-q^{25}+\cdots$
172.1.b.a	$172$	$1$	172.b	43.b	$2$	$1$	$1$	$0.086$	$\Q$	$D_{3}$	$\Q(\sqrt{-43}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q+q^{9}-q^{11}-q^{13}-q^{17}-q^{23}+\cdots$
175.1.d.a	$175$	$1$	175.d	7.b	$2$	$1$	$1$	$0.087$	$\Q$	$D_{3}$	$\Q(\sqrt{-7}) $	None	✓	$2$	$0$	$-1$	$0$	$0$	$1$	$1$		$q-q^{2}+q^{7}+q^{8}+q^{9}-q^{11}-q^{14}+\cdots$
175.1.d.b	$175$	$1$	175.d	7.b	$2$	$1$	$1$	$0.087$	$\Q$	$D_{3}$	$\Q(\sqrt{-7}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$-1$	$1$		$q+q^{2}-q^{7}-q^{8}+q^{9}-q^{11}-q^{14}+\cdots$
176.1.h.a	$176$	$1$	176.h	11.b	$2$	$1$	$1$	$0.088$	$\Q$	$D_{3}$	$\Q(\sqrt{-11}) $	None	✓	$2$	$0$	$0$	$1$	$-1$	$0$	$1$		$q+q^{3}-q^{5}-q^{11}-q^{15}+q^{23}-q^{27}+\cdots$
183.1.d.a	$183$	$1$	183.d	183.d	$2$	$1$	$1$	$0.091$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-183}) $	$\Q(\sqrt{61}) $	✓	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+q^{3}-q^{4}+q^{9}-q^{12}-2q^{13}+q^{16}+\cdots$
184.1.e.a	$184$	$1$	184.e	184.e	$2$	$1$	$1$	$0.092$	$\Q$	$D_{2}$	$\Q(\sqrt{-23}) $, $\Q(\sqrt{-46}) $	$\Q(\sqrt{2}) $	✓	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots$
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}) $	✓	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots$
199.1.b.a	$199$	$1$	199.b	199.b	$2$	$1$	$1$	$0.099$	$\Q$	$D_{3}$	$\Q(\sqrt{-199}) $	None	✓	$2$	$0$	$-1$	$0$	$-1$	$2$	$1$		$q-q^{2}-q^{5}+2q^{7}+q^{8}+q^{9}+q^{10}+\cdots$
200.1.g.a	$200$	$1$	200.g	8.d	$2$	$1$	$1$	$0.100$	$\Q$	$D_{3}$	$\Q(\sqrt{-2}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$0$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}-q^{11}+\cdots$
200.1.g.b	$200$	$1$	200.g	8.d	$2$	$1$	$1$	$0.100$	$\Q$	$D_{3}$	$\Q(\sqrt{-2}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-q^{11}+\cdots$
203.1.c.a	$203$	$1$	203.c	203.c	$2$	$1$	$1$	$0.101$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-203}) $	$\Q(\sqrt{29}) $	✓	$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}-q^{9}+q^{16}-2q^{23}+q^{25}+\cdots$
204.1.g.a	$204$	$1$	204.g	51.c	$2$	$1$	$1$	$0.102$	$\Q$	$D_{3}$	$\Q(\sqrt{-51}) $	None	✓	$2$	$0$	$0$	$-1$	$1$	$0$	$1$		$q-q^{3}+q^{5}+q^{9}+q^{11}-q^{13}-q^{15}+\cdots$
204.1.g.b	$204$	$1$	204.g	51.c	$2$	$1$	$1$	$0.102$	$\Q$	$D_{3}$	$\Q(\sqrt{-51}) $	None	✓	$2$	$0$	$0$	$1$	$-1$	$0$	$1$		$q+q^{3}-q^{5}+q^{9}-q^{11}-q^{13}-q^{15}+\cdots$
207.1.d.a	$207$	$1$	207.d	23.b	$2$	$1$	$1$	$0.103$	$\Q$	$D_{3}$	$\Q(\sqrt{-23}) $	None	✓	$2$	$0$	$1$	$0$	$0$	$0$	$1$		$q+q^{2}-q^{8}-q^{13}-q^{16}-q^{23}+q^{25}+\cdots$
208.1.c.a	$208$	$1$	208.c	52.b	$2$	$1$	$1$	$0.104$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-13}) $	$\Q(\sqrt{13}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+q^{9}-q^{13}-2q^{17}+q^{25}-2q^{29}+\cdots$
211.1.b.a	$211$	$1$	211.b	211.b	$2$	$1$	$1$	$0.105$	$\Q$	$D_{3}$	$\Q(\sqrt{-211}) $	None	✓	$2$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+q^{4}-q^{5}+q^{9}-q^{11}-q^{13}+q^{16}+\cdots$
212.1.d.a	$212$	$1$	212.d	212.d	$2$	$1$	$1$	$0.106$	$\Q$	$D_{3}$	$\Q(\sqrt{-53}) $	None	✓	$2$	$0$	$-1$	$1$	$0$	$0$	$1$		$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{12}+\cdots$
212.1.d.b	$212$	$1$	212.d	212.d	$2$	$1$	$1$	$0.106$	$\Q$	$D_{3}$	$\Q(\sqrt{-53}) $	None	✓	$2$	$0$	$1$	$-1$	$0$	$0$	$1$		$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-q^{12}+\cdots$
216.1.h.a	$216$	$1$	216.h	24.h	$2$	$1$	$1$	$0.108$	$\Q$	$D_{3}$	$\Q(\sqrt{-6}) $	None	✓	$2$	$0$	$-1$	$0$	$1$	$-1$	$1$		$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
216.1.h.b	$216$	$1$	216.h	24.h	$2$	$1$	$1$	$0.108$	$\Q$	$D_{3}$	$\Q(\sqrt{-6}) $	None	✓	$2$	$0$	$1$	$0$	$-1$	$-1$	$1$		$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
219.1.c.a	$219$	$1$	219.c	219.c	$2$	$1$	$1$	$0.109$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-219}) $	$\Q(\sqrt{73}) $	✓	$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}-2q^{19}+\cdots$
224.1.h.a	$224$	$1$	224.h	56.h	$2$	$1$	$1$	$0.112$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-14}) $	$\Q(\sqrt{2}) $	✓	$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+q^{7}-q^{9}-2q^{23}-q^{25}+q^{49}+\cdots$
231.1.h.a	$231$	$1$	231.h	231.h	$2$	$1$	$1$	$0.115$	$\Q$	$D_{3}$	$\Q(\sqrt{-231}) $	None	✓	$2$	$0$	$-1$	$-1$	$1$	$-1$	$1$		$q-q^{2}-q^{3}+q^{5}+q^{6}-q^{7}+q^{8}+\cdots$
231.1.h.b	$231$	$1$	231.h	231.h	$2$	$1$	$1$	$0.115$	$\Q$	$D_{3}$	$\Q(\sqrt{-231}) $	None	✓	$2$	$0$	$-1$	$1$	$-1$	$1$	$1$		$q-q^{2}+q^{3}-q^{5}-q^{6}+q^{7}+q^{8}+\cdots$
231.1.h.c	$231$	$1$	231.h	231.h	$2$	$1$	$1$	$0.115$	$\Q$	$D_{3}$	$\Q(\sqrt{-231}) $	None	✓	$2$	$0$	$1$	$-1$	$1$	$1$	$1$		$q+q^{2}-q^{3}+q^{5}-q^{6}+q^{7}-q^{8}+\cdots$
231.1.h.d	$231$	$1$	231.h	231.h	$2$	$1$	$1$	$0.115$	$\Q$	$D_{3}$	$\Q(\sqrt{-231}) $	None	✓	$2$	$0$	$1$	$1$	$-1$	$-1$	$1$		$q+q^{2}+q^{3}-q^{5}+q^{6}-q^{7}-q^{8}+\cdots$
239.1.b.a	$239$	$1$	239.b	239.b	$2$	$1$	$1$	$0.119$	$\Q$	$D_{3}$	$\Q(\sqrt{-239}) $	None	✓	$2$	$0$	$-1$	$2$	$-1$	$0$	$1$		$q-q^{2}+2q^{3}-q^{5}-2q^{6}+q^{8}+3q^{9}+\cdots$
243.1.b.a	$243$	$1$	243.b	3.b	$2$	$1$	$1$	$0.121$	$\Q$	$D_{3}$	$\Q(\sqrt{-3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}-q^{13}+q^{16}-q^{19}+q^{25}+\cdots$
244.1.c.a	$244$	$1$	244.c	244.c	$2$	$1$	$1$	$0.122$	$\Q$	$D_{3}$	$\Q(\sqrt{-61}) $	None	✓	$2$	$0$	$-1$	$0$	$-1$	$1$	$1$		$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{9}+\cdots$
244.1.c.b	$244$	$1$	244.c	244.c	$2$	$1$	$1$	$0.122$	$\Q$	$D_{3}$	$\Q(\sqrt{-61}) $	None	✓	$2$	$0$	$1$	$0$	$-1$	$-1$	$1$		$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}+q^{9}+\cdots$

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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.