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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 (21 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs			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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	7	383	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8043.2.a.a	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$2$	$-2$	$1$	$-3$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots$
8043.2.a.b	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-2$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
8043.2.a.c	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$
8043.2.a.d	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$4$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}-q^{7}+\cdots$
8043.2.a.e	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-5q^{11}+\cdots$
8043.2.a.f	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}-q^{7}+q^{9}-3q^{11}+\cdots$
8043.2.a.g	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+2q^{5}-q^{7}+q^{9}+3q^{11}+\cdots$
8043.2.a.h	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+3q^{5}+q^{7}+q^{9}-3q^{11}+\cdots$
8043.2.a.i	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}+3q^{5}-2q^{6}+\cdots$
8043.2.a.j	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$3$	$1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}+3q^{5}-2q^{6}+\cdots$
8043.2.a.k	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	$\Q$	None	✓	$1$	$0$	$2$	$1$	$1$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$
8043.2.a.l	$8043$	$2$	8043.a	1.a	$1$	$2$	$2$	$64.224$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-1$	$2$	$1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(2+\beta )q^{4}+(1-\beta )q^{5}+\cdots$
8043.2.a.m	$8043$	$2$	8043.a	1.a	$1$	$3$	$3$	$64.224$	3.3.148.1	None	✓	$1$	$0$	$-1$	$3$	$-2$	$-3$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$
8043.2.a.n	$8043$	$2$	8043.a	1.a	$1$	$40$	$40$	$64.224$		None	✓	$1$	$1$	$-9$	$40$	$-27$	$40$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
8043.2.a.o	$8043$	$2$	8043.a	1.a	$1$	$41$	$41$	$64.224$		None	✓	$1$	$1$	$-4$	$-41$	$5$	$41$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
8043.2.a.p	$8043$	$2$	8043.a	1.a	$1$	$41$	$41$	$64.224$		None	✓	$1$	$0$	$7$	$41$	$17$	$-41$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
8043.2.a.q	$8043$	$2$	8043.a	1.a	$1$	$44$	$44$	$64.224$		None	✓	$1$	$1$	$-4$	$44$	$-16$	$-44$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
8043.2.a.r	$8043$	$2$	8043.a	1.a	$1$	$46$	$46$	$64.224$		None	✓	$1$	$1$	$3$	$-46$	$-9$	$-46$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
8043.2.a.s	$8043$	$2$	8043.a	1.a	$1$	$50$	$50$	$64.224$		None	✓	$1$	$0$	$-1$	$-50$	$11$	$-50$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
8043.2.a.t	$8043$	$2$	8043.a	1.a	$1$	$52$	$52$	$64.224$		None	✓	$1$	$0$	$3$	$-52$	$-7$	$52$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
8043.2.a.u	$8043$	$2$	8043.a	1.a	$1$	$53$	$53$	$64.224$		None	✓	$1$	$0$	$11$	$53$	$24$	$53$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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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.