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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	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
283.1.b.a	$283$	$1$	283.b	283.b	$2$	$1$	$1$	$0.141$	$\Q$	$D_{3}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}+q^{9}-q^{11}-q^{13}+q^{16}+\cdots$
1132.1.b.a	$1132$	$1$	1132.b	283.b	$2$	$3$	$3$	$0.565$	$\Q(\zeta_{18})^+$	$D_{9}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{1}q^{7}+q^{9}+\beta _{2}q^{11}+(\beta _{1}-\beta _{2})q^{13}+\cdots$
1981.1.r.a	$1981$	$1$	1981.r	1981.r	$6$	$6$	$3$	$0.989$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{18}^{3}q^{4}+\zeta_{18}^{4}q^{7}+\zeta_{18}^{6}q^{9}+\cdots$
2547.1.c.a	$2547$	$1$	2547.c	283.b	$2$	$1$	$1$	$1.271$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-283}) $	$\Q(\sqrt{849}) $	✓	$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+q^{4}-2q^{7}+2q^{13}+q^{16}+q^{25}+\cdots$
2547.1.c.b	$2547$	$1$	2547.c	283.b	$2$	$1$	$1$	$1.271$	$\Q$	$D_{3}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+q^{4}-q^{7}+q^{11}-q^{13}+q^{16}+q^{23}+\cdots$
2547.1.c.d	$2547$	$1$	2547.c	283.b	$2$	$2$	$2$	$1.271$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-283}) $	None	✓	$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q+q^{4}+q^{7}-\beta q^{11}-q^{13}+q^{16}+\cdots$
3113.1.l.a	$3113$	$1$	3113.l	3113.l	$10$	$4$	$1$	$1.554$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q-\zeta_{10}q^{4}-\zeta_{10}q^{7}-\zeta_{10}^{3}q^{9}-\zeta_{10}^{3}q^{11}+\cdots$
3113.1.l.b	$3113$	$1$	3113.l	3113.l	$10$	$8$	$2$	$1.554$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{30}^{3}q^{4}+\zeta_{30}^{3}q^{7}-\zeta_{30}^{9}q^{9}+\cdots$
3679.1.d.a	$3679$	$1$	3679.d	3679.d	$2$	$1$	$1$	$1.836$	$\Q$	$D_{2}$	$\Q(\sqrt{-283}) $, $\Q(\sqrt{-3679}) $	$\Q(\sqrt{13}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-q^{4}+q^{9}+q^{13}+q^{16}-2q^{23}+\cdots$
3679.1.d.b	$3679$	$1$	3679.d	3679.d	$2$	$2$	$2$	$1.836$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots$
3679.1.o.a	$3679$	$1$	3679.o	3679.o	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$-3$	$1$		$q+\zeta_{6}q^{4}+(-1+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+\cdots$
3679.1.o.b	$3679$	$1$	3679.o	3679.o	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{6}q^{4}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots$
3679.1.o.c	$3679$	$1$	3679.o	3679.o	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$3$	$1$		$q+\zeta_{6}q^{4}+(1-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+(1+\cdots)q^{11}+\cdots$
3679.1.s.a	$3679$	$1$	3679.s	3679.s	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots$
3679.1.s.b	$3679$	$1$	3679.s	3679.s	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots$
3679.1.s.c	$3679$	$1$	3679.s	3679.s	$6$	$2$	$1$	$1.836$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$1$	$1$		$q+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots$
283.3.b.a	$283$	$3$	283.b	283.b	$2$	$3$	$3$	$7.711$	3.3.7641.1	$_{}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$	$\mathrm{U}(1)[D_{2}]$	$q+4q^{4}+(2\beta _{1}+\beta _{2})q^{7}+9q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$
2547.2.d.c	$2547$	$2$	2547.d	849.d	$2$	$12$	$12$	$20.338$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	$\Q(\sqrt{-283}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$3^{5}$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{4}-\beta _{5}q^{7}+\beta _{4}q^{11}+\beta _{1}q^{13}+\cdots$
283.5.b.a	$283$	$5$	283.b	283.b	$2$	$3$	$3$	$29.254$	3.3.7641.1	$_{}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$3$	$\mathrm{U}(1)[D_{2}]$	$q+2^{4}q^{4}+(4\beta _{1}-11\beta _{2})q^{7}+3^{4}q^{9}+\cdots$
1132.3.b.a	$1132$	$3$	1132.b	283.b	$2$	$6$	$6$	$30.845$	6.6.$\cdots$.2	$_{}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	$q+(\beta _{2}+\beta _{3})q^{7}+9q^{9}+(2\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{11}+\cdots$
1132.5.b.a	$1132$	$5$	1132.b	283.b	$2$	$6$	$6$	$117.015$	6.6.$\cdots$.2	$_{}$	$\Q(\sqrt{-283}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$2^{4}\cdot 3^{3}$	$\mathrm{U}(1)[D_{2}]$	$q+(-6\beta _{1}-\beta _{2}+3\beta _{4}-2\beta _{5})q^{7}+3^{4}q^{9}+\cdots$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 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.