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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 (19 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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
1348.1.bh.a	$1348$	$1$	1348.bh	1348.ah	$84$	$24$	$1$	$0.673$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$-4$	$0$	$1$		$q-\zeta_{84}^{8}q^{2}+\zeta_{84}^{16}q^{4}+(\zeta_{84}^{21}+\zeta_{84}^{36}+\cdots)q^{5}+\cdots$
1508.1.cu.a	$1508$	$1$	1508.cu	1508.bu	$84$	$24$	$1$	$0.753$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$2$	$0$	$1$		$q-\zeta_{84}^{13}q^{2}+\zeta_{84}^{26}q^{4}+(\zeta_{84}^{16}+\cdots)q^{5}+\cdots$
1508.1.cx.a	$1508$	$1$	1508.cx	1508.bx	$84$	$24$	$1$	$0.753$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-2$	$0$	$-2$	$0$	$1$		$q-\zeta_{84}^{4}q^{2}+\zeta_{84}^{8}q^{4}+(-\zeta_{84}^{16}+\cdots)q^{5}+\cdots$
1677.1.ec.a	$1677$	$1$	1677.ec	1677.dc	$84$	$24$	$1$	$0.837$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{84}^{19}q^{3}+\zeta_{84}^{25}q^{4}+(-\zeta_{84}^{20}+\cdots)q^{7}+\cdots$
1677.1.ei.a	$1677$	$1$	1677.ei	1677.di	$84$	$24$	$1$	$0.837$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-4$	$1$		$q+\zeta_{84}^{9}q^{3}+\zeta_{84}^{17}q^{4}+(-\zeta_{84}^{6}+\cdots)q^{7}+\cdots$
1911.1.ea.a	$1911$	$1$	1911.ea	1911.da	$84$	$24$	$1$	$0.954$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$2$	$1$		$q-\zeta_{84}^{33}q^{3}+\zeta_{84}q^{4}+\zeta_{84}^{32}q^{7}+\cdots$
1911.1.ep.a	$1911$	$1$	1911.ep	1911.dp	$84$	$24$	$1$	$0.954$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{84}^{13}q^{3}+\zeta_{84}^{39}q^{4}+\zeta_{84}^{37}q^{7}+\cdots$
2001.1.bf.c	$2001$	$1$	2001.bf	2001.af	$28$	$24$	$2$	$0.999$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$-2$	$2$	$0$	$0$	$1$		$q+(-\zeta_{84}^{7}-\zeta_{84}^{20})q^{2}-\zeta_{84}^{26}q^{3}+\cdots$
2001.1.bf.d	$2001$	$1$	2001.bf	2001.af	$28$	$24$	$2$	$0.999$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(\zeta_{84}^{7}+\zeta_{84}^{20})q^{2}+\zeta_{84}^{25}q^{3}+\cdots$
2359.1.dc.a	$2359$	$1$	2359.dc	2359.cc	$84$	$24$	$1$	$1.177$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{84}^{9}-\zeta_{84}^{11})q^{2}+(\zeta_{84}^{18}+\zeta_{84}^{20}+\cdots)q^{4}+\cdots$
2668.1.bc.c	$2668$	$1$	2668.bc	2668.ac	$28$	$24$	$2$	$1.332$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$-2$	$-2$	$0$	$0$	$1$		$q-\zeta_{84}^{4}q^{2}+(\zeta_{84}^{5}+\zeta_{84}^{22})q^{3}+\zeta_{84}^{8}q^{4}+\cdots$
2668.1.bc.d	$2668$	$1$	2668.bc	2668.ac	$28$	$24$	$2$	$1.332$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q-\zeta_{84}^{35}q^{2}+(\zeta_{84}^{5}-\zeta_{84}^{22})q^{3}+\cdots$
2692.1.bi.a	$2692$	$1$	2692.bi	2692.ai	$84$	$24$	$1$	$1.343$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$	$1$		$q+\zeta_{84}^{35}q^{2}-\zeta_{84}^{28}q^{4}+(-\zeta_{84}^{11}+\cdots)q^{5}+\cdots$
2696.1.cm.a	$2696$	$1$	2696.cm	2696.bm	$84$	$24$	$1$	$1.345$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+\zeta_{84}^{16}q^{2}+(\zeta_{84}^{7}+\zeta_{84}^{15})q^{3}+\cdots$
2709.1.fj.a	$2709$	$1$	2709.fj	903.bb	$42$	$48$	$4$	$1.352$	$\Q(\zeta_{168})$	$D_{84}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{168}^{11}-\zeta_{168}^{13})q^{2}+(\zeta_{168}^{22}+\cdots)q^{4}+\cdots$
3027.1.bq.a	$3027$	$1$	3027.bq	3027.aq	$84$	$24$	$1$	$1.511$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{84}^{33}q^{3}+\zeta_{84}^{10}q^{4}+(-\zeta_{84}^{13}+\cdots)q^{7}+\cdots$
3195.1.bd.c	$3195$	$1$	3195.bd	3195.ad	$12$	$24$	$6$	$1.595$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(-\zeta_{84}^{2}+\zeta_{84}^{33})q^{2}+\zeta_{84}^{41}q^{3}+\cdots$
3195.1.bd.d	$3195$	$1$	3195.bd	3195.ad	$12$	$24$	$6$	$1.595$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$4$	$2$	$0$	$0$	$1$		$q+(-\zeta_{84}^{12}+\zeta_{84}^{23})q^{2}+\zeta_{84}^{20}q^{3}+\cdots$
3503.1.be.b	$3503$	$1$	3503.be	3503.ae	$28$	$24$	$2$	$1.748$	$\Q(\zeta_{84})$	$D_{84}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$-2$	$0$	$1$		$q+(\zeta_{84}^{11}+\zeta_{84}^{37})q^{2}+(-\zeta_{84}^{6}+\zeta_{84}^{22}+\cdots)q^{4}+\cdots$

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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.