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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 83 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	5	41	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9225.2.a.a	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$2$	$-2$	$0$	$0$	$-1$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-q^{7}-6q^{11}-5q^{13}+\cdots$
9225.2.a.b	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{7}+6q^{11}+5q^{13}+\cdots$
9225.2.a.c	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+2q^{7}+3q^{11}-4q^{13}+\cdots$
9225.2.a.d	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+2q^{7}+3q^{11}+6q^{13}+\cdots$
9225.2.a.e	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+4q^{7}-2q^{13}-8q^{14}+\cdots$
9225.2.a.f	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-4q^{7}+3q^{8}+3q^{11}+\cdots$
9225.2.a.g	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$2$	$-1$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-2q^{7}+3q^{8}-6q^{11}+\cdots$
9225.2.a.h	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$2$	$-1$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-2q^{7}+3q^{8}-3q^{11}+\cdots$
9225.2.a.i	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}-2q^{11}-q^{16}+\cdots$
9225.2.a.j	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}-3q^{11}+\cdots$
9225.2.a.k	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$4$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+4q^{7}+3q^{8}+2q^{13}+\cdots$
9225.2.a.l	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}-2q^{13}+4q^{16}-7q^{17}+\cdots$
9225.2.a.m	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}-2q^{13}+4q^{16}+7q^{17}+\cdots$
9225.2.a.n	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}+3q^{11}-2q^{13}+4q^{16}+\cdots$
9225.2.a.o	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{7}-q^{13}+4q^{16}-7q^{19}+\cdots$
9225.2.a.p	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{11}+4q^{13}+4q^{16}-3q^{17}+\cdots$
9225.2.a.q	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{7}+q^{13}+4q^{16}-7q^{19}+\cdots$
9225.2.a.r	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}-3q^{11}-4q^{13}+4q^{16}+\cdots$
9225.2.a.s	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+2q^{13}+4q^{16}-7q^{17}+\cdots$
9225.2.a.t	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+2q^{13}+4q^{16}+7q^{17}+\cdots$
9225.2.a.u	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+3q^{11}-4q^{13}+4q^{16}+\cdots$
9225.2.a.v	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+2q^{7}+3q^{11}+2q^{13}+4q^{16}+\cdots$
9225.2.a.w	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+4q^{7}-5q^{11}+4q^{13}+4q^{16}+\cdots$
9225.2.a.x	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$2$	$1$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{7}-3q^{8}-3q^{11}+\cdots$
9225.2.a.y	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-2q^{7}-3q^{8}+4q^{13}+\cdots$
9225.2.a.z	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{7}-3q^{8}-3q^{11}+\cdots$
9225.2.a.ba	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$4$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{7}-3q^{8}+3q^{11}+\cdots$
9225.2.a.bb	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-4q^{7}+2q^{13}-8q^{14}+\cdots$
9225.2.a.bc	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-2q^{7}+3q^{11}+4q^{13}+\cdots$
9225.2.a.bd	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{7}+6q^{11}-5q^{13}+\cdots$
9225.2.a.be	$9225$	$2$	9225.a	1.a	$1$	$1$	$1$	$73.662$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$0$	$1$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{7}-6q^{11}+5q^{13}+\cdots$
9225.2.a.bf	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+2\beta q^{7}+\cdots$
9225.2.a.bg	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{7}+\cdots$
9225.2.a.bh	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$-3$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}-3\beta q^{7}+(-1+\cdots)q^{8}+\cdots$
9225.2.a.bi	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{7}+(-1+\cdots)q^{8}+\cdots$
9225.2.a.bj	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-1$	$0$	$0$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(2-\beta )q^{7}-3q^{8}+\cdots$
9225.2.a.bk	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-1$	$0$	$0$	$3$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(2-\beta )q^{7}-3q^{8}+\cdots$
9225.2.a.bl	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(2+\beta )q^{4}+(-4-\beta )q^{8}+(3+\cdots)q^{11}+\cdots$
9225.2.a.bm	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2-\beta )q^{7}-2\beta q^{8}+(-1+\beta )q^{11}+\cdots$
9225.2.a.bn	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(-1+\beta )q^{7}+\cdots$
9225.2.a.bo	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$1$	$0$	$0$	$-3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(-2+\beta )q^{7}+3q^{8}+\cdots$
9225.2.a.bp	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+2\beta q^{7}+(3+\cdots)q^{8}+\cdots$
9225.2.a.bq	$9225$	$2$	9225.a	1.a	$1$	$2$	$2$	$73.662$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}-2\beta q^{7}+(3+\cdots)q^{8}+\cdots$
9225.2.a.br	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.148.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
9225.2.a.bs	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.148.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
9225.2.a.bt	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.148.1	None	✓	$1$	$0$	$-2$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$
9225.2.a.bu	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.229.1	None	✓	$1$	$1$	$-2$	$0$	$0$	$1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{2}+(2+\beta _{1})q^{4}-\beta _{2}q^{7}+\cdots$
9225.2.a.bv	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.148.1	None	✓	$1$	$0$	$-1$	$0$	$0$	$-6$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{2}+(1+2\beta _{1})q^{4}+(-2+\cdots)q^{7}+\cdots$
9225.2.a.bw	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.229.1	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{2}q^{7}+q^{8}+\cdots$
9225.2.a.bx	$9225$	$2$	9225.a	1.a	$1$	$3$	$3$	$73.662$	3.3.316.1	None	✓	$1$	$0$	$1$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots$

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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.