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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 8366 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6003.2.a.a	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-4q^{5}-4q^{7}-4q^{11}-5q^{13}+\cdots$
6003.2.a.b	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+4q^{11}+3q^{13}+4q^{16}-3q^{17}+\cdots$
6003.2.a.c	$6003$	$2$	6003.a	1.a	$1$	$1$	$1$	$47.934$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots$
6004.2.a.a	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}-5q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$
6004.2.a.b	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}-3q^{9}+2q^{11}-4q^{13}+\cdots$
6004.2.a.c	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}-q^{7}-2q^{9}+5q^{13}+\cdots$
6005.2.a.a	$6005$	$2$	6005.a	1.a	$1$	$1$	$1$	$47.950$	$\Q$	None	✓	$1$	$2$	$-2$	$-2$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-2q^{3}+2q^{4}+q^{5}+4q^{6}+\cdots$
6005.2.a.b	$6005$	$2$	6005.a	1.a	$1$	$1$	$1$	$47.950$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots$
6006.2.a.a	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-4$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.b	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-4$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.c	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.d	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.e	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
6006.2.a.f	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
6006.2.a.g	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.h	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.i	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$4$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.j	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.k	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.l	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.m	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
6006.2.a.n	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.o	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.p	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.q	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
6006.2.a.r	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.s	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.t	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.u	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.v	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.w	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.x	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.y	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
6006.2.a.z	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$4$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.ba	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-4$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.bb	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.bc	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$
6006.2.a.bd	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.be	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$
6006.2.a.bf	$6006$	$2$	6006.a	1.a	$1$	$1$	$1$	$47.958$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$
6008.2.a.a	$6008$	$2$	6008.a	1.a	$1$	$1$	$1$	$47.974$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-2$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-4q^{7}-3q^{9}-q^{13}-6q^{17}+\cdots$
6010.2.a.a	$6010$	$2$	6010.a	1.a	$1$	$1$	$1$	$47.990$	$\Q$	None	✓	$1$	$1$	$-1$	$-3$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{8}+\cdots$
6010.2.a.b	$6010$	$2$	6010.a	1.a	$1$	$1$	$1$	$47.990$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots$
6011.2.a.a	$6011$	$2$	6011.a	1.a	$1$	$1$	$1$	$47.998$	$\Q$	None	✓	$1$	$2$	$-2$	$0$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-2q^{5}+q^{7}-3q^{9}+\cdots$
6011.2.a.b	$6011$	$2$	6011.a	1.a	$1$	$1$	$1$	$47.998$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-2q^{4}+q^{5}-q^{7}+6q^{9}+6q^{11}+\cdots$
6011.2.a.c	$6011$	$2$	6011.a	1.a	$1$	$1$	$1$	$47.998$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-3q^{5}-q^{6}+q^{7}+\cdots$
6013.2.a.a	$6013$	$2$	6013.a	1.a	$1$	$1$	$1$	$48.014$	$\Q$	None	✓	$1$	$2$	$-2$	$-2$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-2q^{3}+2q^{4}-q^{5}+4q^{6}+\cdots$
6013.2.a.b	$6013$	$2$	6013.a	1.a	$1$	$1$	$1$	$48.014$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}-2q^{9}+\cdots$
6014.2.a.a	$6014$	$2$	6014.a	1.a	$1$	$1$	$1$	$48.022$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}+q^{8}+\cdots$
6014.2.a.b	$6014$	$2$	6014.a	1.a	$1$	$1$	$1$	$48.022$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{5}-4q^{7}+q^{8}-3q^{9}+\cdots$

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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.