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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 (36 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	5	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6930.2.a.c	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.d	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.f	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.g	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.i	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.l	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.m	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.r	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.t	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.u	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.w	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.ba	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.bb	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bc	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bh	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bi	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bk	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bl	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bm	$6930$	$2$	6930.a	1.a	$1$	$1$	$1$	$55.336$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.bn	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-2$	$+$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.bo	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.br	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$-2$	$+$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bt	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bv	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.bx	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$-2$	$-$	$+$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.by	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.bz	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$2$	$-$	$-$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.ca	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$2$	$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.cb	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$2$	$-$	$+$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
6930.2.a.cc	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$+$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.cd	$6930$	$2$	6930.a	1.a	$1$	$2$	$2$	$55.336$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$-$	$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.ce	$6930$	$2$	6930.a	1.a	$1$	$3$	$3$	$55.336$	3.3.316.1	None	✓	$1$	$0$	$-3$	$0$	$-3$	$-3$	$+$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.cg	$6930$	$2$	6930.a	1.a	$1$	$3$	$3$	$55.336$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$-3$	$0$	$-3$	$-3$	$+$	$+$	$+$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
6930.2.a.ci	$6930$	$2$	6930.a	1.a	$1$	$3$	$3$	$55.336$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$0$	$3$	$3$	$+$	$+$	$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
6930.2.a.cl	$6930$	$2$	6930.a	1.a	$1$	$3$	$3$	$55.336$	3.3.892.1	None	✓	$1$	$0$	$3$	$0$	$3$	$-3$	$-$	$-$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
6930.2.a.cm	$6930$	$2$	6930.a	1.a	$1$	$3$	$3$	$55.336$	3.3.316.1	None	✓	$1$	$0$	$3$	$0$	$3$	$-3$	$-$	$+$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$

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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.