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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (27 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4032.2.a.b	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-4$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-q^{7}+2q^{11}+2q^{13}-4q^{19}+\cdots$
4032.2.a.e	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots$
4032.2.a.h	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots$
4032.2.a.i	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+6q^{11}+6q^{13}-2q^{17}+\cdots$
4032.2.a.j	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-6q^{11}+6q^{13}-2q^{17}+\cdots$
4032.2.a.k	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}-4q^{11}+2q^{13}+6q^{17}+\cdots$
4032.2.a.m	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots$
4032.2.a.n	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}+q^{7}+4q^{11}+6q^{13}+2q^{17}+\cdots$
4032.2.a.o	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-4q^{11}-2q^{13}-4q^{17}+4q^{23}+\cdots$
4032.2.a.q	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-2q^{11}+2q^{13}-4q^{17}+4q^{19}+\cdots$
4032.2.a.s	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+4q^{11}-2q^{13}+4q^{17}-4q^{23}+\cdots$
4032.2.a.z	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+4q^{11}+4q^{13}+2q^{17}-6q^{19}+\cdots$
4032.2.a.ba	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-6q^{11}+6q^{13}+2q^{17}+\cdots$
4032.2.a.bb	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots$
4032.2.a.be	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}+2q^{13}-6q^{17}+4q^{19}+\cdots$
4032.2.a.bi	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-2q^{13}-2q^{17}+4q^{19}+\cdots$
4032.2.a.bj	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+2q^{13}-6q^{17}-4q^{19}+\cdots$
4032.2.a.bk	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots$
4032.2.a.bl	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+6q^{11}+6q^{13}+2q^{17}+\cdots$
4032.2.a.bm	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}+2q^{11}+6q^{13}+4q^{17}+\cdots$
4032.2.a.bn	$4032$	$2$	4032.a	1.a	$1$	$1$	$1$	$32.196$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+q^{7}-2q^{11}+6q^{13}+4q^{17}+\cdots$
4032.2.a.bp	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots$
4032.2.a.bq	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}-q^{7}+\beta q^{11}-2q^{13}+\beta q^{17}+\cdots$
4032.2.a.bs	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}+(-2+\beta )q^{11}-2q^{13}+\cdots$
4032.2.a.bt	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}-\beta q^{11}-2q^{13}+\beta q^{17}+\cdots$
4032.2.a.bv	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+(2+2\beta )q^{11}+(-3+\cdots)q^{13}+\cdots$
4032.2.a.bx	$4032$	$2$	4032.a	1.a	$1$	$2$	$2$	$32.196$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots$

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Elliptic curves over $\Q$
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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.