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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 254 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
588.2.u.a	$588$	$2$	588.u	588.u	$14$	$648$	$108$	$4.695$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{14}]$
600.2.bp.c	$600$	$2$	600.bp	600.ap	$20$	$896$	$112$	$4.791$		None		$8$	$0$	$0$	$0$	$0$	$-40$		$\mathrm{SU}(2)[C_{20}]$
612.2.bb.a	$612$	$2$	612.bb	612.ab	$12$	$416$	$104$	$4.887$		None		$8$	$0$	$0$	$0$	$-12$	$0$		$\mathrm{SU}(2)[C_{12}]$
624.2.ce.a	$624$	$2$	624.ce	624.be	$12$	$432$	$108$	$4.983$		None		$4$	$0$	$0$	$-2$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
624.2.cl.a	$624$	$2$	624.cl	624.bl	$12$	$432$	$108$	$4.983$		None		$8$	$0$	$0$	$-2$	$0$	$-8$		$\mathrm{SU}(2)[C_{12}]$
624.2.cx.a	$624$	$2$	624.cx	624.bx	$12$	$432$	$108$	$4.983$		None		$8$	$0$	$0$	$-2$	$0$	$-24$		$\mathrm{SU}(2)[C_{12}]$
624.2.da.a	$624$	$2$	624.da	624.ca	$12$	$432$	$108$	$4.983$		None		$4$	$0$	$0$	$-2$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
660.2.bv.a	$660$	$2$	660.bv	660.av	$20$	$1088$	$136$	$5.270$		None		$16$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{20}]$
680.2.cf.a	$680$	$2$	680.cf	680.bf	$16$	$832$	$104$	$5.430$		None		$4$	$0$	$-8$	$0$	$0$	$-16$		$\mathrm{SU}(2)[C_{16}]$
680.2.co.a	$680$	$2$	680.co	680.bo	$16$	$832$	$104$	$5.430$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{16}]$
680.2.ct.a	$680$	$2$	680.ct	680.bt	$16$	$832$	$104$	$5.430$		None		$4$	$0$	$-8$	$0$	$0$	$-16$		$\mathrm{SU}(2)[C_{16}]$
684.2.bs.a	$684$	$2$	684.bs	684.as	$18$	$696$	$116$	$5.462$		None		$4$	$0$	$-9$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{18}]$
684.2.bt.a	$684$	$2$	684.bt	684.at	$18$	$696$	$116$	$5.462$		None		$4$	$0$	$-3$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{18}]$
684.2.cc.a	$684$	$2$	684.cc	684.bc	$18$	$696$	$116$	$5.462$		None		$4$	$0$	$-3$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{18}]$
684.2.ch.a	$684$	$2$	684.ch	684.bh	$18$	$696$	$116$	$5.462$		None		$4$	$0$	$-9$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{18}]$
696.2.bd.a	$696$	$2$	696.bd	696.ad	$14$	$696$	$116$	$5.558$		None		$8$	$0$	$0$	$-14$	$0$	$0$		$\mathrm{SU}(2)[C_{14}]$
696.2.bf.a	$696$	$2$	696.bf	696.af	$14$	$696$	$116$	$5.558$		None		$8$	$0$	$0$	$-10$	$0$	$0$		$\mathrm{SU}(2)[C_{14}]$
720.2.ce.a	$720$	$2$	720.ce	720.be	$12$	$560$	$140$	$5.749$		None		$8$	$0$	$0$	$0$	$-2$	$0$		$\mathrm{SU}(2)[C_{12}]$
720.2.cm.a	$720$	$2$	720.cm	720.bm	$12$	$560$	$140$	$5.749$		None		$4$	$0$	$-6$	$-8$	$-6$	$0$		$\mathrm{SU}(2)[C_{12}]$
720.2.cp.c	$720$	$2$	720.cp	720.bp	$12$	$552$	$138$	$5.749$		None		$4$	$0$	$-4$	$0$	$-4$	$-10$		$\mathrm{SU}(2)[C_{12}]$
720.2.cq.a	$720$	$2$	720.cq	720.bq	$12$	$560$	$140$	$5.749$		None		$4$	$0$	$-6$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{12}]$
720.2.ct.c	$720$	$2$	720.ct	720.bt	$12$	$552$	$138$	$5.749$		None		$4$	$0$	$0$	$-8$	$2$	$-10$		$\mathrm{SU}(2)[C_{12}]$
720.2.da.e	$720$	$2$	720.da	720.ca	$12$	$544$	$136$	$5.749$		None		$8$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{12}]$
728.2.dp.a	$728$	$2$	728.dp	728.cp	$12$	$432$	$108$	$5.813$		None		$4$	$0$	$-2$	$4$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
728.2.dt.a	$728$	$2$	728.dt	728.ct	$12$	$432$	$108$	$5.813$		None		$8$	$0$	$-2$	$0$	$0$	$-8$		$\mathrm{SU}(2)[C_{12}]$
728.2.dv.a	$728$	$2$	728.dv	728.cv	$12$	$432$	$108$	$5.813$		None		$8$	$0$	$-2$	$-8$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
728.2.dy.a	$728$	$2$	728.dy	728.cy	$12$	$432$	$108$	$5.813$		None		$4$	$0$	$-2$	$0$	$0$	$-8$		$\mathrm{SU}(2)[C_{12}]$
728.2.en.a	$728$	$2$	728.en	728.dn	$12$	$432$	$108$	$5.813$		None		$4$	$0$	$-2$	$0$	$0$	$-8$		$\mathrm{SU}(2)[C_{12}]$
728.2.eo.a	$728$	$2$	728.eo	728.do	$12$	$432$	$108$	$5.813$		None		$4$	$0$	$-2$	$-8$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
735.2.ba.a	$735$	$2$	735.ba	735.aa	$14$	$648$	$108$	$5.869$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{14}]$
740.2.bg.c	$740$	$2$	740.bg	740.ag	$12$	$432$	$108$	$5.909$		None		$8$	$0$	$-6$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
740.2.bh.c	$740$	$2$	740.bh	740.ah	$12$	$432$	$108$	$5.909$		None		$8$	$0$	$-6$	$0$	$-24$	$0$		$\mathrm{SU}(2)[C_{12}]$
740.2.bo.c	$740$	$2$	740.bo	740.ao	$12$	$432$	$108$	$5.909$		None		$8$	$0$	$0$	$0$	$-4$	$0$		$\mathrm{SU}(2)[C_{12}]$
748.2.be.a	$748$	$2$	748.be	748.ae	$20$	$832$	$104$	$5.973$		None		$8$	$0$	$0$	$0$	$-12$	$0$		$\mathrm{SU}(2)[C_{20}]$
756.2.bs.a	$756$	$2$	756.bs	756.as	$18$	$840$	$140$	$6.037$		None		$4$	$0$	$-3$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{18}]$
756.2.bt.a	$756$	$2$	756.bt	756.at	$18$	$840$	$140$	$6.037$		None		$4$	$0$	$-3$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{18}]$
756.2.cc.a	$756$	$2$	756.cc	756.bc	$18$	$840$	$140$	$6.037$		None		$8$	$0$	$-12$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{18}]$
756.2.cd.a	$756$	$2$	756.cd	756.bd	$18$	$840$	$140$	$6.037$		None		$4$	$0$	$-3$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{18}]$
756.2.cf.a	$756$	$2$	756.cf	108.l	$18$	$648$	$108$	$6.037$		None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{18}]$
756.2.ci.a	$756$	$2$	756.ci	756.bi	$18$	$840$	$140$	$6.037$		None		$4$	$0$	$-3$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{18}]$
760.2.bp.a	$760$	$2$	760.bp	760.ap	$12$	$464$	$116$	$6.069$		None		$8$	$0$	$-6$	$0$	$0$	$-16$		$\mathrm{SU}(2)[C_{12}]$
760.2.bw.b	$760$	$2$	760.bw	760.aw	$12$	$456$	$114$	$6.069$		None		$8$	$0$	$2$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
760.2.bx.b	$760$	$2$	760.bx	760.ax	$18$	$672$	$112$	$6.069$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{18}]$
760.2.cj.a	$760$	$2$	760.cj	760.bj	$18$	$696$	$116$	$6.069$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{18}]$
765.2.bl.a	$765$	$2$	765.bl	765.al	$12$	$416$	$104$	$6.109$		None		$8$	$0$	$0$	$0$	$-2$	$0$		$\mathrm{SU}(2)[C_{12}]$
765.2.bm.c	$765$	$2$	765.bm	765.am	$12$	$408$	$102$	$6.109$		None		$4$	$0$	$-6$	$-8$	$-6$	$4$		$\mathrm{SU}(2)[C_{12}]$
765.2.bo.a	$765$	$2$	765.bo	765.ao	$12$	$416$	$104$	$6.109$		None		$8$	$0$	$-12$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
765.2.bt.c	$765$	$2$	765.bt	765.at	$12$	$408$	$102$	$6.109$		None		$4$	$0$	$6$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{12}]$
780.2.cf.a	$780$	$2$	780.cf	780.bf	$12$	$640$	$160$	$6.228$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$
780.2.cy.a	$780$	$2$	780.cy	780.by	$12$	$640$	$160$	$6.228$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{12}]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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.