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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 (35 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9576.2.a.c	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}-4q^{11}-6q^{13}-6q^{17}+\cdots$
9576.2.a.e	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots$
9576.2.a.f	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+6q^{11}-2q^{13}+q^{19}+\cdots$
9576.2.a.k	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-4q^{11}+2q^{13}+2q^{17}+q^{19}+\cdots$
9576.2.a.n	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-2q^{13}+8q^{17}-q^{19}+4q^{23}+\cdots$
9576.2.a.o	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+2q^{11}+6q^{13}-q^{19}+6q^{23}+\cdots$
9576.2.a.r	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-2q^{11}-4q^{13}-4q^{17}+\cdots$
9576.2.a.s	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}-2q^{13}-2q^{17}+q^{19}+\cdots$
9576.2.a.t	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots$
9576.2.a.u	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}-6q^{11}+4q^{17}-q^{19}+\cdots$
9576.2.a.w	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+2q^{11}+2q^{13}-2q^{17}+\cdots$
9576.2.a.x	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$2$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}+q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots$
9576.2.a.y	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}-4q^{11}+2q^{13}+4q^{17}+\cdots$
9576.2.a.z	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-q^{7}-2q^{11}+2q^{13}+q^{19}+\cdots$
9576.2.a.bb	$9576$	$2$	9576.a	1.a	$1$	$1$	$1$	$76.465$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+q^{7}-2q^{11}-4q^{13}-4q^{17}+\cdots$
9576.2.a.bc	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-5$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-2-\beta )q^{5}+q^{7}+(1+3\beta )q^{11}+\cdots$
9576.2.a.bd	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-4$	$-2$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-2q^{5}-q^{7}+2q^{11}+(1+\beta )q^{13}+\cdots$
9576.2.a.be	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}+2\beta q^{11}+2\beta q^{13}+\cdots$
9576.2.a.bg	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{5}-q^{7}+(3-\beta )q^{11}+(-3+\cdots)q^{13}+\cdots$
9576.2.a.bo	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}+2q^{11}+(2+\beta )q^{13}+\cdots$
9576.2.a.br	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$-2$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+2\beta q^{11}+4q^{13}+\cdots$
9576.2.a.bu	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{7}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+2q^{11}-4q^{13}+\cdots$
9576.2.a.bv	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+2q^{11}+2\beta q^{13}+\cdots$
9576.2.a.bw	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+4q^{11}+(2+2\beta )q^{13}+\cdots$
9576.2.a.by	$9576$	$2$	9576.a	1.a	$1$	$2$	$2$	$76.465$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$4$	$-2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(2+\beta )q^{5}-q^{7}+2\beta q^{11}+4\beta q^{13}+\cdots$
9576.2.a.ca	$9576$	$2$	9576.a	1.a	$1$	$3$	$3$	$76.465$	3.3.1101.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$3$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+q^{7}+(-3+\beta _{1}-\beta _{2})q^{11}+\cdots$
9576.2.a.cb	$9576$	$2$	9576.a	1.a	$1$	$3$	$3$	$76.465$	3.3.568.1	None	✓	$1$	$0$	$0$	$0$	$0$	$-3$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{5}-q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots$
9576.2.a.cc	$9576$	$2$	9576.a	1.a	$1$	$3$	$3$	$76.465$	3.3.316.1	None	✓	$1$	$0$	$0$	$0$	$0$	$-3$	$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{7}+(1-\beta _{1})q^{11}+(-2-\beta _{2})q^{13}+\cdots$
9576.2.a.ce	$9576$	$2$	9576.a	1.a	$1$	$3$	$3$	$76.465$	3.3.1772.1	None	✓	$1$	$0$	$0$	$0$	$0$	$3$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}+q^{7}+2q^{11}+(3-\beta _{1})q^{17}+\cdots$
9576.2.a.cf	$9576$	$2$	9576.a	1.a	$1$	$3$	$3$	$76.465$	3.3.316.1	None	✓	$1$	$0$	$0$	$0$	$4$	$-3$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1-\beta _{2})q^{5}-q^{7}-2\beta _{2}q^{11}+(-1+\cdots)q^{17}+\cdots$
9576.2.a.ci	$9576$	$2$	9576.a	1.a	$1$	$4$	$4$	$76.465$	4.4.25857.1	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{5}+q^{7}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{11}+\cdots$
9576.2.a.ck	$9576$	$2$	9576.a	1.a	$1$	$4$	$4$	$76.465$	4.4.18097.1	None	✓	$1$	$0$	$0$	$0$	$3$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2}-\beta _{3})q^{5}-q^{7}+(-1-\beta _{1}+\cdots)q^{11}+\cdots$
9576.2.a.cl	$9576$	$2$	9576.a	1.a	$1$	$4$	$4$	$76.465$	4.4.13068.1	None	✓	$1$	$0$	$0$	$0$	$4$	$4$	$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1-\beta _{2})q^{5}+q^{7}+(-\beta _{1}-\beta _{3})q^{11}+\cdots$
9576.2.a.cm	$9576$	$2$	9576.a	1.a	$1$	$5$	$5$	$76.465$	5.5.10463409.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$-5$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{4})q^{5}-q^{7}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{11}+\cdots$
9576.2.a.co	$9576$	$2$	9576.a	1.a	$1$	$5$	$5$	$76.465$	5.5.135076.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$5$	$+$	$-$	$-$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{5}+q^{7}+\beta _{4}q^{11}+(2-\beta _{3})q^{13}+\cdots$

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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.