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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 3881 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.d	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$0$	$3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+(1+\beta )q^{5}+3q^{8}+(-1+\cdots)q^{10}+\cdots$
6003.2.a.e	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{13}+\cdots$
6003.2.a.f	$6003$	$2$	6003.a	1.a	$1$	$2$	$2$	$47.934$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$4$	$0$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots$
6006.2.a.bg	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$2$	$-4$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.bh	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$-2$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bi	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bj	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bk	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$-2$	$0$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.bl	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$2$	$-2$	$0$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
6006.2.a.bm	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$2$	$-2$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$
6006.2.a.bn	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$
6006.2.a.bo	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$-2$	$4$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$
6006.2.a.bp	$6006$	$2$	6006.a	1.a	$1$	$2$	$2$	$47.958$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$4$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$
6007.2.a.a	$6007$	$2$	6007.a	1.a	$1$	$2$	$2$	$47.966$	$\Q(\sqrt{5}) $	None	✓	$1$	$2$	$-1$	$-3$	$1$	$-6$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots$
6011.2.a.d	$6011$	$2$	6011.a	1.a	$1$	$2$	$2$	$47.998$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$4$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+2q^{3}+2\beta q^{5}+2\beta q^{6}-q^{7}+\cdots$
6012.2.a.a	$6012$	$2$	6012.a	1.a	$1$	$2$	$2$	$48.006$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$0$	$0$	$6$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+(2-\beta )q^{7}+(5-\beta )q^{13}-\beta q^{17}+\cdots$
6014.2.a.c	$6014$	$2$	6014.a	1.a	$1$	$2$	$2$	$48.022$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$4$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2\beta q^{3}+q^{4}+(2+\beta )q^{5}-2\beta q^{6}+\cdots$
6015.2.a.a	$6015$	$2$	6015.a	1.a	$1$	$2$	$2$	$48.030$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+(2-2\beta )q^{7}+\cdots$
6021.2.a.i	$6021$	$2$	6021.a	1.a	$1$	$2$	$2$	$48.078$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+2\beta )q^{5}+q^{7}-2\beta q^{8}+\cdots$
6021.2.a.j	$6021$	$2$	6021.a	1.a	$1$	$2$	$2$	$48.078$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+2\beta )q^{5}+q^{7}-2\beta q^{8}+\cdots$
6024.2.a.h	$6024$	$2$	6024.a	1.a	$1$	$2$	$2$	$48.102$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{5}+q^{7}+q^{9}+2\beta q^{11}+\cdots$
6024.2.a.i	$6024$	$2$	6024.a	1.a	$1$	$2$	$2$	$48.102$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{5}-3q^{7}+q^{9}+2q^{11}+\cdots$
6025.2.a.a	$6025$	$2$	6025.a	1.a	$1$	$2$	$2$	$48.110$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$1$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}-q^{4}-\beta q^{6}+(-2+2\beta )q^{7}+\cdots$
6025.2.a.b	$6025$	$2$	6025.a	1.a	$1$	$2$	$2$	$48.110$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-3$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+(-2+\beta )q^{3}+3q^{4}+\cdots$
6025.2.a.c	$6025$	$2$	6025.a	1.a	$1$	$2$	$2$	$48.110$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$3$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+(1+\beta )q^{3}+3q^{4}+(-1+\cdots)q^{6}+\cdots$
6025.2.a.d	$6025$	$2$	6025.a	1.a	$1$	$2$	$2$	$48.110$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-1$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}-q^{4}+(-1+\beta )q^{6}+\cdots$
6026.2.a.e	$6026$	$2$	6026.a	1.a	$1$	$2$	$2$	$48.118$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\beta )q^{6}+\cdots$
6027.2.a.i	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$-2$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots$
6027.2.a.j	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-1$	$-2$	$3$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(2-\beta )q^{5}+\cdots$
6027.2.a.k	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-1$	$2$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-2q^{5}-\beta q^{6}+\cdots$
6027.2.a.l	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4+\beta )q^{11}+\cdots$
6027.2.a.m	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$-4$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+(-2+\beta )q^{5}-\beta q^{6}+\cdots$
6027.2.a.n	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4-\beta )q^{11}+\cdots$
6028.2.a.a	$6028$	$2$	6028.a	1.a	$1$	$2$	$2$	$48.134$	$\Q(\sqrt{5}) $	None	✓	$1$	$2$	$0$	$-1$	$-5$	$-7$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(-3+\beta )q^{5}+(-3-\beta )q^{7}+\cdots$
6028.2.a.b	$6028$	$2$	6028.a	1.a	$1$	$2$	$2$	$48.134$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-1$	$3$	$5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+(1+\beta )q^{5}+(3-\beta )q^{7}+(-2+\cdots)q^{9}+\cdots$
6030.2.a.z	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(-3+\beta )q^{7}-q^{8}+\cdots$
6030.2.a.ba	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+(-2+2\beta )q^{7}-q^{8}+\cdots$
6030.2.a.bb	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots$
6030.2.a.bc	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(2+\beta )q^{7}-q^{8}+\cdots$
6030.2.a.bd	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$-2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(2+\beta )q^{7}+q^{8}+\cdots$
6030.2.a.be	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(-2+2\beta )q^{7}+q^{8}+\cdots$
6030.2.a.bf	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(-1+\beta )q^{7}+q^{8}+\cdots$
6030.2.a.bg	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots$
6030.2.a.bh	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots$
6030.2.a.bi	$6030$	$2$	6030.a	1.a	$1$	$2$	$2$	$48.150$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
6030.2.d.a	$6030$	$2$	6030.d	201.d	$2$	$2$	$2$	$48.150$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-6q^{11}+\cdots$
6030.2.d.b	$6030$	$2$	6030.d	201.d	$2$	$2$	$2$	$48.150$	$\Q(\sqrt{-2}) $	None		$2$	$1$	$-2$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+q^{5}+2\beta q^{7}-q^{8}-q^{10}+\cdots$
6030.2.d.c	$6030$	$2$	6030.d	201.d	$2$	$2$	$2$	$48.150$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{16}+\cdots$
6030.2.d.d	$6030$	$2$	6030.d	201.d	$2$	$2$	$2$	$48.150$	$\Q(\sqrt{-2}) $	None		$2$	$0$	$-2$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{2}+q^{4}+q^{5}+\beta q^{7}-q^{8}-q^{10}+\cdots$
6030.2.d.e	$6030$	$2$	6030.d	201.d	$2$	$2$	$2$	$48.150$	$\Q(\sqrt{-2}) $	None		$2$	$1$	$2$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{2}+q^{4}-q^{5}+\beta q^{7}+q^{8}-q^{10}+\cdots$

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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.