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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 (34 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
1299.1.be.a	$1299$	$1$	1299.be	1299.ae	$72$	$24$	$1$	$0.648$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{20}q^{3}+\zeta_{72}^{6}q^{4}+(\zeta_{72}^{19}+\zeta_{72}^{22}+\cdots)q^{7}+\cdots$
1460.1.cy.a	$1460$	$1$	1460.cy	1460.by	$72$	$24$	$1$	$0.729$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{31}q^{2}-\zeta_{72}^{26}q^{4}-\zeta_{72}^{2}q^{5}+\cdots$
1460.1.df.a	$1460$	$1$	1460.df	1460.cf	$72$	$24$	$1$	$0.729$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{29}q^{2}-\zeta_{72}^{22}q^{4}+\zeta_{72}^{13}q^{5}+\cdots$
1533.1.ev.a	$1533$	$1$	1533.ev	1533.dv	$72$	$24$	$1$	$0.765$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{27}q^{3}-\zeta_{72}^{28}q^{4}-\zeta_{72}^{22}q^{7}+\cdots$
1533.1.ew.a	$1533$	$1$	1533.ew	1533.dw	$72$	$24$	$1$	$0.765$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{33}q^{3}+\zeta_{72}^{32}q^{4}-\zeta_{72}^{19}q^{7}+\cdots$
1752.1.dl.a	$1752$	$1$	1752.dl	1752.cl	$72$	$24$	$1$	$0.874$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{10}q^{2}-\zeta_{72}^{7}q^{3}+\zeta_{72}^{20}q^{4}+\cdots$
1752.1.dl.b	$1752$	$1$	1752.dl	1752.cl	$72$	$24$	$1$	$0.874$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{10}q^{2}+\zeta_{72}^{35}q^{3}+\zeta_{72}^{20}q^{4}+\cdots$
1971.1.es.a	$1971$	$1$	1971.es	73.l	$72$	$24$	$1$	$0.984$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{8}q^{4}+(-\zeta_{72}^{2}-\zeta_{72}^{13})q^{7}+\cdots$
2308.1.be.a	$2308$	$1$	2308.be	2308.ae	$72$	$24$	$1$	$1.152$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{14}q^{2}+\zeta_{72}^{28}q^{4}+(\zeta_{72}^{21}+\cdots)q^{5}+\cdots$
2336.1.ex.a	$2336$	$1$	2336.ex	73.l	$72$	$24$	$1$	$1.166$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{72}^{13}+\zeta_{72}^{28})q^{5}-\zeta_{72}^{30}q^{9}+\cdots$
2516.1.dq.a	$2516$	$1$	2516.dq	2516.cq	$72$	$24$	$1$	$1.256$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{19}q^{2}-\zeta_{72}^{2}q^{4}+(-\zeta_{72}^{22}+\cdots)q^{5}+\cdots$
2516.1.dq.b	$2516$	$1$	2516.dq	2516.cq	$72$	$24$	$1$	$1.256$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{19}q^{2}-\zeta_{72}^{2}q^{4}+(\zeta_{72}^{6}+\zeta_{72}^{13}+\cdots)q^{5}+\cdots$
2584.1.eh.a	$2584$	$1$	2584.eh	2584.dh	$72$	$24$	$1$	$1.290$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{19}q^{2}+(\zeta_{72}^{3}-\zeta_{72}^{14})q^{3}+\cdots$
2584.1.eh.b	$2584$	$1$	2584.eh	2584.dh	$72$	$24$	$1$	$1.290$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{19}q^{2}+(-\zeta_{72}^{23}-\zeta_{72}^{30}+\cdots)q^{3}+\cdots$
2628.1.er.a	$2628$	$1$	2628.er	876.at	$72$	$24$	$1$	$1.312$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{34}q^{2}-\zeta_{72}^{32}q^{4}+(\zeta_{72}^{14}+\cdots)q^{5}+\cdots$
2628.1.er.b	$2628$	$1$	2628.er	876.at	$72$	$24$	$1$	$1.312$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{34}q^{2}-\zeta_{72}^{32}q^{4}+(-\zeta_{72}^{14}+\cdots)q^{5}+\cdots$
2628.1.et.a	$2628$	$1$	2628.et	73.l	$72$	$24$	$1$	$1.312$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{72}^{23}+\zeta_{72}^{34})q^{7}+(-\zeta_{72}^{5}-\zeta_{72}^{14}+\cdots)q^{13}+\cdots$
2847.1.ic.a	$2847$	$1$	2847.ic	2847.hc	$72$	$24$	$1$	$1.421$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{21}q^{3}+\zeta_{72}^{10}q^{4}+(\zeta_{72}^{16}+\cdots)q^{7}+\cdots$
2847.1.id.a	$2847$	$1$	2847.id	2847.hd	$72$	$24$	$1$	$1.421$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{9}q^{3}+\zeta_{72}^{2}q^{4}+(\zeta_{72}^{7}-\zeta_{72}^{14}+\cdots)q^{7}+\cdots$
2847.1.ig.a	$2847$	$1$	2847.ig	2847.hg	$72$	$24$	$1$	$1.421$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{27}q^{3}+\zeta_{72}^{34}q^{4}+(\zeta_{72}^{22}+\cdots)q^{7}+\cdots$
2847.1.ih.a	$2847$	$1$	2847.ih	2847.hh	$72$	$24$	$1$	$1.421$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{3}q^{3}+\zeta_{72}^{34}q^{4}+(\zeta_{72}^{4}-\zeta_{72}^{23}+\cdots)q^{7}+\cdots$
3464.1.ci.a	$3464$	$1$	3464.ci	3464.bi	$72$	$24$	$1$	$1.729$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$12$	$0$	$0$	$1$		$q-\zeta_{72}^{21}q^{2}+(\zeta_{72}^{12}-\zeta_{72}^{16})q^{3}+\cdots$
3504.1.gc.a	$3504$	$1$	3504.gc	876.at	$72$	$24$	$1$	$1.749$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{21}q^{3}+(\zeta_{72}^{14}-\zeta_{72}^{19})q^{7}+\cdots$
3504.1.gc.b	$3504$	$1$	3504.gc	876.at	$72$	$24$	$1$	$1.749$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{21}q^{3}+(-\zeta_{72}^{14}+\zeta_{72}^{19}+\cdots)q^{7}+\cdots$
3515.1.fe.a	$3515$	$1$	3515.fe	3515.ee	$18$	$48$	$8$	$1.754$	$\Q(\zeta_{144})$	$D_{72}$	$\Q(\sqrt{-95}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{144}^{45}+\zeta_{144}^{67})q^{2}+(-\zeta_{144}+\cdots)q^{3}+\cdots$
3672.1.ed.a	$3672$	$1$	3672.ed	3672.dd	$72$	$24$	$1$	$1.833$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{17}q^{2}-\zeta_{72}^{5}q^{3}+\zeta_{72}^{34}q^{4}+\cdots$
3672.1.ed.b	$3672$	$1$	3672.ed	3672.dd	$72$	$24$	$1$	$1.833$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{17}q^{2}+\zeta_{72}^{14}q^{3}+\zeta_{72}^{34}q^{4}+\cdots$
3796.1.hs.a	$3796$	$1$	3796.hs	3796.gs	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{11}q^{2}+\zeta_{72}^{22}q^{4}+(-\zeta_{72}+\cdots)q^{5}+\cdots$
3796.1.hz.a	$3796$	$1$	3796.hz	3796.gz	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{35}q^{2}-\zeta_{72}^{34}q^{4}+(\zeta_{72}^{25}+\cdots)q^{5}+\cdots$
3796.1.ia.a	$3796$	$1$	3796.ia	3796.ha	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{17}q^{2}+\zeta_{72}^{34}q^{4}+(\zeta_{72}^{4}-\zeta_{72}^{7}+\cdots)q^{5}+\cdots$
3796.1.ic.a	$3796$	$1$	3796.ic	3796.hc	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{72}^{13}q^{2}+\zeta_{72}^{26}q^{4}+(-\zeta_{72}^{8}+\cdots)q^{5}+\cdots$
3796.1.in.a	$3796$	$1$	3796.in	3796.hn	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{7}q^{2}+\zeta_{72}^{14}q^{4}+(\zeta_{72}^{26}+\zeta_{72}^{29}+\cdots)q^{5}+\cdots$
3796.1.ip.a	$3796$	$1$	3796.ip	3796.hp	$72$	$24$	$1$	$1.894$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{72}^{7}q^{2}+\zeta_{72}^{14}q^{4}+(\zeta_{72}^{5}+\zeta_{72}^{26}+\cdots)q^{5}+\cdots$
3891.1.be.a	$3891$	$1$	3891.be	3891.ae	$72$	$24$	$1$	$1.942$	$\Q(\zeta_{72})$	$D_{72}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-12$	$1$		$q+\zeta_{72}^{16}q^{3}-\zeta_{72}^{22}q^{4}+(-\zeta_{72}^{12}+\cdots)q^{7}+\cdots$

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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.