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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 99 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	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	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3360.1.bn.a	$3360$	$1$	3360.bn	105.k	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
3360.1.bn.b	$3360$	$1$	3360.bn	105.k	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
3360.1.bn.c	$3360$	$1$	3360.bn	105.k	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
3360.1.bn.d	$3360$	$1$	3360.bn	105.k	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
3360.1.cv.a	$3360$	$1$	3360.cv	840.ap	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}-\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}+\cdots$
3360.1.cv.b	$3360$	$1$	3360.cv	840.ap	$4$	$4$	$2$	$1.677$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$4$		$1$		$q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}+q^{7}-\zeta_{8}^{2}q^{9}+\cdots$
3360.1.cv.c	$3360$	$1$	3360.cv	840.ap	$4$	$8$	$4$	$1.677$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}q^{3}-\zeta_{16}q^{5}-\zeta_{16}^{6}q^{7}+\zeta_{16}^{2}q^{9}+\cdots$
3360.1.cv.d	$3360$	$1$	3360.cv	840.ap	$4$	$8$	$4$	$1.677$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}^{3}q^{3}+\zeta_{16}q^{5}-\zeta_{16}^{6}q^{7}+\zeta_{16}^{6}q^{9}+\cdots$
3360.1.dm.a	$3360$	$1$	3360.dm	840.bg	$6$	$4$	$2$	$1.677$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$-2$		$1$		$q-\zeta_{12}q^{3}+\zeta_{12}^{3}q^{5}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$
3360.1.dm.b	$3360$	$1$	3360.dm	840.bg	$6$	$4$	$2$	$1.677$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$2$		$1$		$q-\zeta_{12}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$
3360.1.ds.a	$3360$	$1$	3360.ds	105.o	$6$	$8$	$4$	$1.677$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{24}^{9}q^{3}+\zeta_{24}^{2}q^{5}+\zeta_{24}^{7}q^{7}+\cdots$
3360.1.ds.b	$3360$	$1$	3360.ds	105.o	$6$	$8$	$4$	$1.677$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{2}q^{5}-\zeta_{24}q^{7}+\zeta_{24}^{10}q^{9}+\cdots$
3360.1.ft.a	$3360$	$1$	3360.ft	840.ch	$12$	$8$	$2$	$1.677$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$-4$		$1$		$q+\zeta_{24}^{5}q^{3}-\zeta_{24}^{11}q^{5}+\zeta_{24}^{8}q^{7}+\cdots$
3360.1.ft.b	$3360$	$1$	3360.ft	840.ch	$12$	$8$	$2$	$1.677$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-6}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots$
3360.2.a.a	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
3360.2.a.b	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+q^{15}+\cdots$
3360.2.a.c	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
3360.2.a.d	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
3360.2.a.e	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{13}+q^{15}+\cdots$
3360.2.a.f	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
3360.2.a.g	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
3360.2.a.h	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
3360.2.a.i	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
3360.2.a.j	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$
3360.2.a.k	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
3360.2.a.l	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
3360.2.a.m	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots$
3360.2.a.n	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots$
3360.2.a.o	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
3360.2.a.p	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$
3360.2.a.q	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
3360.2.a.r	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-q^{15}+\cdots$
3360.2.a.s	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$
3360.2.a.t	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots$
3360.2.a.u	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
3360.2.a.v	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{13}+q^{15}+\cdots$
3360.2.a.w	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots$
3360.2.a.x	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$
3360.2.a.y	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$
3360.2.a.z	$3360$	$2$	3360.a	1.a	$1$	$1$	$1$	$26.830$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots$
3360.2.a.ba	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$
3360.2.a.bb	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$2$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
3360.2.a.bc	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
3360.2.a.bd	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$2$	$-2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+\beta q^{13}-q^{15}+\cdots$
3360.2.a.be	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
3360.2.a.bf	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$-2$	$-2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$
3360.2.a.bg	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$-2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+(1+\beta )q^{11}+\cdots$
3360.2.a.bh	$3360$	$2$	3360.a	1.a	$1$	$2$	$2$	$26.830$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$2$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+\beta q^{13}+q^{15}+\cdots$
3360.2.a.bi	$3360$	$2$	3360.a	1.a	$1$	$3$	$3$	$26.830$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$3$	$-3$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+(-1+\beta _{2})q^{11}+\cdots$
3360.2.a.bj	$3360$	$2$	3360.a	1.a	$1$	$3$	$3$	$26.830$	3.3.148.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$3$	$3$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+(1-\beta _{2})q^{11}+\cdots$

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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.