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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 (36 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
1124.1.bb.a	$1124$	$1$	1124.bb	1124.ab	$70$	$24$	$1$	$0.561$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q-\zeta_{70}^{8}q^{2}+\zeta_{70}^{16}q^{4}+(\zeta_{70}^{31}+\zeta_{70}^{33}+\cdots)q^{5}+\cdots$
1263.1.bl.a	$1263$	$1$	1263.bl	1263.al	$70$	$24$	$1$	$0.630$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{70}^{12}q^{3}-\zeta_{70}^{16}q^{4}+(\zeta_{70}^{17}+\cdots)q^{7}+\cdots$
1775.1.bb.b	$1775$	$1$	1775.bb	1775.ab	$10$	$24$	$6$	$0.886$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-71}) $	None		$4$	$0$	$-5$	$0$	$-1$	$0$	$1$		$q+(\zeta_{70}^{17}-\zeta_{70}^{25})q^{2}+(-\zeta_{70}^{23}+\cdots)q^{3}+\cdots$
1899.1.ck.a	$1899$	$1$	1899.ck	211.n	$70$	$24$	$1$	$0.948$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-5$	$1$		$q+\zeta_{70}^{32}q^{4}+(-\zeta_{70}^{5}+\zeta_{70}^{33})q^{7}+\cdots$
1967.1.bt.a	$1967$	$1$	1967.bt	1967.at	$70$	$24$	$1$	$0.982$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-3$	$0$	$0$	$6$	$1$		$q+(-\zeta_{70}^{5}-\zeta_{70}^{11})q^{2}+(\zeta_{70}^{10}+\zeta_{70}^{16}+\cdots)q^{4}+\cdots$
1988.1.cd.a	$1988$	$1$	1988.cd	1988.bd	$70$	$24$	$1$	$0.992$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-1$	$0$	$0$	$1$	$1$		$q+\zeta_{70}^{19}q^{2}-\zeta_{70}^{3}q^{4}+\zeta_{70}^{12}q^{7}+\cdots$
1988.1.cd.b	$1988$	$1$	1988.cd	1988.bd	$70$	$24$	$1$	$0.992$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$4$	$0$	$0$	$-1$	$1$		$q-\zeta_{70}^{20}q^{2}-\zeta_{70}^{5}q^{4}-\zeta_{70}^{12}q^{7}+\cdots$
2233.1.ct.a	$2233$	$1$	2233.ct	2233.bt	$70$	$24$	$1$	$1.114$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+(\zeta_{70}^{9}+\zeta_{70}^{22})q^{2}+(-\zeta_{70}^{9}+\zeta_{70}^{18}+\cdots)q^{4}+\cdots$
2233.1.ct.b	$2233$	$1$	2233.ct	2233.bt	$70$	$24$	$1$	$1.114$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{70}^{2}-\zeta_{70}^{29})q^{2}+(\zeta_{70}^{4}-\zeta_{70}^{23}+\cdots)q^{4}+\cdots$
2248.1.by.a	$2248$	$1$	2248.by	2248.ay	$70$	$24$	$1$	$1.122$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$-5$	$0$	$0$	$1$		$q-\zeta_{70}^{11}q^{2}+(\zeta_{70}^{13}+\zeta_{70}^{30})q^{3}+\cdots$
2343.1.ea.a	$2343$	$1$	2343.ea	2343.da	$70$	$24$	$1$	$1.169$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-6$	$0$	$0$	$1$		$q-\zeta_{70}^{7}q^{3}+\zeta_{70}^{31}q^{4}+(\zeta_{70}^{9}-\zeta_{70}^{19}+\cdots)q^{5}+\cdots$
2343.1.ea.b	$2343$	$1$	2343.ea	2343.da	$70$	$24$	$1$	$1.169$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+\zeta_{70}^{34}q^{3}+\zeta_{70}^{31}q^{4}+(-\zeta_{70}^{9}+\cdots)q^{5}+\cdots$
2769.1.cw.c	$2769$	$1$	2769.cw	2769.bw	$70$	$48$	$2$	$1.382$	$\Q(\zeta_{140})$	$D_{70}$	$\Q(\sqrt{-39}) $	None		$8$	$0$	$0$	$-2$	$0$	$0$	$1$		$q+(-\zeta_{140}^{11}-\zeta_{140}^{21})q^{2}+\zeta_{140}^{46}q^{3}+\cdots$
2900.1.ck.a	$2900$	$1$	2900.ck	2900.bk	$70$	$24$	$1$	$1.447$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$-1$	$0$	$1$		$q+\zeta_{70}^{19}q^{2}-\zeta_{70}^{3}q^{4}-\zeta_{70}^{32}q^{5}+\cdots$
2900.1.ck.b	$2900$	$1$	2900.ck	2900.bk	$70$	$24$	$1$	$1.447$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-1$	$0$	$1$		$q-\zeta_{70}^{19}q^{2}-\zeta_{70}^{3}q^{4}+\zeta_{70}^{27}q^{5}+\cdots$
2947.1.df.a	$2947$	$1$	2947.df	2947.cf	$70$	$24$	$1$	$1.471$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-5$	$0$	$0$	$1$	$1$		$q+(-\zeta_{70}^{5}+\zeta_{70}^{29})q^{2}+(\zeta_{70}^{10}-\zeta_{70}^{23}+\cdots)q^{4}+\cdots$
2987.1.o.b	$2987$	$1$	2987.o	2987.o	$14$	$24$	$4$	$1.491$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-103}) $	None		$4$	$0$	$7$	$0$	$0$	$-2$	$1$		$q+(-\zeta_{70}^{9}+\zeta_{70}^{21})q^{2}+(-\zeta_{70}^{7}+\cdots)q^{4}+\cdots$
3311.1.ex.a	$3311$	$1$	3311.ex	3311.dx	$70$	$24$	$1$	$1.652$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$6$	$1$		$q+(\zeta_{70}^{23}+\zeta_{70}^{31})q^{2}+(-\zeta_{70}^{11}+\cdots)q^{4}+\cdots$
3311.1.ex.b	$3311$	$1$	3311.ex	3311.dx	$70$	$24$	$1$	$1.652$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$-6$	$1$		$q+(-\zeta_{70}^{3}+\zeta_{70}^{16})q^{2}+(\zeta_{70}^{6}-\zeta_{70}^{19}+\cdots)q^{4}+\cdots$
3479.1.ea.a	$3479$	$1$	3479.ea	71.h	$70$	$24$	$1$	$1.736$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-3$	$0$	$0$	$0$	$1$		$q+(\zeta_{70}^{10}-\zeta_{70}^{27})q^{2}+(\zeta_{70}^{2}-\zeta_{70}^{19}+\cdots)q^{4}+\cdots$
3479.1.ex.a	$3479$	$1$	3479.ex	497.ad	$210$	$48$	$1$	$1.736$	$\Q(\zeta_{210})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$3$	$0$	$0$	$0$	$1$		$q+(\zeta_{210}^{40}+\zeta_{210}^{52})q^{2}+(\zeta_{210}^{80}+\zeta_{210}^{92}+\cdots)q^{4}+\cdots$
3773.1.l.a	$3773$	$1$	3773.l	11.d	$10$	$24$	$6$	$1.883$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{70}^{31}+\zeta_{70}^{32})q^{2}+(-\zeta_{70}^{27}+\cdots)q^{4}+\cdots$
3773.1.t.a	$3773$	$1$	3773.t	77.o	$30$	$48$	$6$	$1.883$	$\Q(\zeta_{210})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{210}^{19}+\zeta_{210}^{37})q^{2}+(\zeta_{210}^{38}+\cdots)q^{4}+\cdots$
3775.1.bb.b	$3775$	$1$	3775.bb	3775.ab	$10$	$24$	$6$	$1.884$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-151}) $	None		$4$	$0$	$0$	$0$	$-1$	$0$	$1$		$q+(\zeta_{70}^{31}+\zeta_{70}^{32})q^{2}+(-\zeta_{70}^{27}+\cdots)q^{4}+\cdots$
3784.1.dz.a	$3784$	$1$	3784.dz	3784.cz	$70$	$24$	$1$	$1.888$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{70}^{33}q^{2}+(\zeta_{70}^{26}+\zeta_{70}^{27})q^{3}+\cdots$
3784.1.dz.b	$3784$	$1$	3784.dz	3784.cz	$70$	$24$	$1$	$1.888$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q-\zeta_{70}^{33}q^{2}+(-\zeta_{70}^{6}+\zeta_{70}^{12})q^{3}+\cdots$
3905.1.fa.b	$3905$	$1$	3905.fa	3905.ea	$70$	$24$	$1$	$1.949$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-7$	$-1$	$0$	$1$		$q+(\zeta_{70}^{17}-\zeta_{70}^{21})q^{3}+\zeta_{70}^{33}q^{4}+\cdots$
3905.1.fa.c	$3905$	$1$	3905.fa	3905.ea	$70$	$24$	$1$	$1.949$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$7$	$-1$	$0$	$1$		$q+(-\zeta_{70}^{17}+\zeta_{70}^{21})q^{3}+\zeta_{70}^{33}q^{4}+\cdots$
3905.1.fa.e	$3905$	$1$	3905.fa	3905.ea	$70$	$48$	$2$	$1.949$	$\Q(\zeta_{140})$	$D_{70}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$12$	$0$	$1$		$q+(-\zeta_{140}^{17}-\zeta_{140}^{55})q^{2}+(-\zeta_{140}^{2}+\cdots)q^{4}+\cdots$
3976.1.dt.a	$3976$	$1$	3976.dt	3976.ct	$70$	$24$	$1$	$1.984$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-4$	$0$	$0$	$1$	$1$		$q+\zeta_{70}^{20}q^{2}-\zeta_{70}^{5}q^{4}+\zeta_{70}^{12}q^{7}+\cdots$
3976.1.dt.b	$3976$	$1$	3976.dt	3976.ct	$70$	$24$	$1$	$1.984$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$1$	$0$	$0$	$-1$	$1$		$q-\zeta_{70}^{19}q^{2}-\zeta_{70}^{3}q^{4}-\zeta_{70}^{12}q^{7}+\cdots$
3976.1.ec.a	$3976$	$1$	3976.ec	3976.dc	$70$	$24$	$1$	$1.984$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-1$	$0$	$0$	$-1$	$1$		$q-\zeta_{70}^{16}q^{2}+\zeta_{70}^{32}q^{4}+\zeta_{70}^{23}q^{7}+\cdots$
3976.1.ec.d	$3976$	$1$	3976.ec	3976.dc	$70$	$24$	$1$	$1.984$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$4$	$0$	$0$	$-1$	$1$		$q+\zeta_{70}^{15}q^{2}+\zeta_{70}^{30}q^{4}+\zeta_{70}^{23}q^{7}+\cdots$
3976.1.ec.e	$3976$	$1$	3976.ec	3976.dc	$70$	$48$	$2$	$1.984$	$\Q(\zeta_{140})$	$D_{70}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$-2$	$0$	$0$	$-2$	$1$		$q-\zeta_{140}^{24}q^{2}+(\zeta_{140}^{13}+\zeta_{140}^{55})q^{3}+\cdots$
3999.1.ex.a	$3999$	$1$	3999.ex	3999.dx	$70$	$24$	$1$	$1.996$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-\zeta_{70}^{16}q^{3}+\zeta_{70}^{3}q^{4}+(\zeta_{70}^{27}-\zeta_{70}^{29}+\cdots)q^{7}+\cdots$
3999.1.ex.b	$3999$	$1$	3999.ex	3999.dx	$70$	$24$	$1$	$1.996$	$\Q(\zeta_{35})$	$D_{70}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+\zeta_{70}^{16}q^{3}+\zeta_{70}^{3}q^{4}+(\zeta_{70}^{22}-\zeta_{70}^{34}+\cdots)q^{7}+\cdots$

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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.