LMFDB - Elliptic curves over $\Q$ of conductor 9360

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
9360.a1	9360n3	9360.a	9360n	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$3120$	$192$	$3$	$4.278783528$	$1$		$3$	$98304$	$2.141407$	$19129597231400697604/26325$	$1.02876$	$6.33417$	$[0, 0, 0, -5054403, -4373739502]$	$y^2=x^3-5054403x-4373739502$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$	$[(2809, 59940)]$
9360.a2	9360n2	9360.a	9360n	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.35	2Cs	$1560$	$192$	$3$	$8.557567056$	$1$		$5$	$49152$	$1.794832$	$18681746265374416/693005625$	$1.11967$	$5.42455$	$[0, 0, 0, -315903, -68338402]$	$y^2=x^3-315903x-68338402$	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$	$[(18446, 2504086)]$
9360.a3	9360n4	9360.a	9360n	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.2	2B	$3120$	$192$	$3$	$4.278783528$	$1$		$5$	$98304$	$2.141407$	$-4053153720264484/903687890625$	$0.99872$	$5.44469$	$[0, 0, 0, -301323, -74931478]$	$y^2=x^3-301323x-74931478$	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 104.48.1.?, 312.96.1.?, $\ldots$	$[(659, 3562)]$
9360.a4	9360n1	9360.a	9360n	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$3120$	$192$	$3$	$4.278783528$	$1$		$1$	$24576$	$1.448259$	$83587439220736/13990184325$	$1.00034$	$4.52978$	$[0, 0, 0, -20658, -963493]$	$y^2=x^3-20658x-963493$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$	$[(-431/2, 855/2)]$
9360.b1	9360o4	9360.b	9360o	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{11} \cdot 3^{7} \cdot 5 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.519688315$	$1$		$5$	$24576$	$1.229685$	$31103978031362/195$	$0.97111$	$4.95228$	$[0, 0, 0, -74883, 7887202]$	$y^2=x^3-74883x+7887202$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[(159, 22)]$
9360.b2	9360o3	9360.b	9360o	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{11} \cdot 3^{10} \cdot 5 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.379922078$	$1$		$11$	$24576$	$1.229685$	$20183398562/11567205$	$1.00841$	$4.14956$	$[0, 0, 0, -6483, 19762]$	$y^2=x^3-6483x+19762$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 104.12.0.?, $\ldots$	$[(-43, 468)]$
9360.b3	9360o2	9360.b	9360o	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$0.759844157$	$1$		$15$	$12288$	$0.883111$	$15214885924/38025$	$0.90605$	$4.04286$	$[0, 0, 0, -4683, 123082]$	$y^2=x^3-4683x+123082$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(11, 270)]$
9360.b4	9360o1	9360.b	9360o	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.519688315$	$1$		$5$	$6144$	$0.536538$	$-3631696/24375$	$0.84900$	$3.25623$	$[0, 0, 0, -183, 3382]$	$y^2=x^3-183x+3382$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$	$[(6, 50)]$
9360.c1	9360b1	9360.c	9360b	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1.097036898$	$1$		$2$	$3840$	$0.322206$	$-27648/65$	$0.73656$	$2.98351$	$[0, 0, 0, -108, 972]$	$y^2=x^3-108x+972$	390.2.0.?	$[(9, 27)]$
9360.d1	9360bk1	9360.d	9360bk	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{13} \cdot 5 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1.446046304$	$1$		$2$	$26880$	$1.435020$	$-762549907456/24024195$	$0.97132$	$4.62833$	$[0, 0, 0, -27408, 1793392]$	$y^2=x^3-27408x+1793392$	390.2.0.?	$[(89, 243)]$
9360.e1	9360bq1	9360.e	9360bq	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{19} \cdot 5^{5} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$390$	$2$	$0$	$1$	$1$		$0$	$49920$	$1.764812$	$3186827264/64769371875$	$1.15762$	$4.86490$	$[0, 0, 0, 1752, -5289572]$	$y^2=x^3+1752x-5289572$	390.2.0.?	$[]$
9360.f1	9360y2	9360.f	9360y	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 13^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$737280$	$3.081081$	$2034416504287874043/882294347833600$	$1.06294$	$6.60113$	$[0, 0, 0, -11403963, 7420221162]$	$y^2=x^3-11403963x+7420221162$	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
9360.f2	9360y1	9360.f	9360y	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{28} \cdot 3^{9} \cdot 5^{4} \cdot 13^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.734505$	$19441890357117957/15208161280000$	$1.08681$	$6.09255$	$[0, 0, 0, 2420037, 859350762]$	$y^2=x^3+2420037x+859350762$	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[]$
9360.g1	9360bo4	9360.g	9360bo	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{27} \cdot 3^{12} \cdot 5 \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$829440$	$3.247841$	$73474353581350183614361/576510977802240$	$1.05636$	$7.38836$	$[0, 0, 0, -125651163, -542119386742]$	$y^2=x^3-125651163x-542119386742$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[]$
9360.g2	9360bo3	9360.g	9360bo	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{42} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$414720$	$2.901264$	$-16818951115904497561/1592332281446400$	$1.03465$	$6.48826$	$[0, 0, 0, -7686363, -8847711862]$	$y^2=x^3-7686363x-8847711862$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$	$[]$
9360.g3	9360bo2	9360.g	9360bo	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{17} \cdot 3^{24} \cdot 5^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$276480$	$2.698532$	$453198971846635561/261896250564000$	$1.11183$	$6.07648$	$[0, 0, 0, -2304363, 50685338]$	$y^2=x^3-2304363x+50685338$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[]$
9360.g4	9360bo1	9360.g	9360bo	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{22} \cdot 3^{15} \cdot 5^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$138240$	$2.351959$	$7064514799444439/4094064000000$	$1.10261$	$5.62141$	$[0, 0, 0, 575637, 6333338]$	$y^2=x^3+575637x+6333338$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.c.1, $\ldots$	$[]$
9360.h1	9360a2	9360.h	9360a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.592705423$	$1$		$7$	$36864$	$1.476490$	$216092050322508/3016755625$	$1.03524$	$4.72803$	$[0, 0, 0, -37803, 2794698]$	$y^2=x^3-37803x+2794698$	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(99, 150)]$
9360.h2	9360a1	9360.h	9360a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.185410846$	$1$		$5$	$18432$	$1.129917$	$-445090032/858203125$	$1.13399$	$4.03167$	$[0, 0, 0, -303, 117198]$	$y^2=x^3-303x+117198$	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[(-39, 264)]$
9360.i1	9360x2	9360.i	9360x	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$24576$	$1.345232$	$260549802603/4225$	$0.95689$	$4.86553$	$[0, 0, 0, -57483, -5304582]$	$y^2=x^3-57483x-5304582$	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
9360.i2	9360x1	9360.i	9360x	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.998658$	$-57960603/8125$	$0.86399$	$3.96945$	$[0, 0, 0, -3483, -88182]$	$y^2=x^3-3483x-88182$	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[]$
9360.j1	9360i2	9360.j	9360i	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$30720$	$1.635841$	$4234737878642/1247410125$	$0.96992$	$4.73422$	$[0, 0, 0, -38523, -2039222]$	$y^2=x^3-38523x-2039222$	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
9360.j2	9360i1	9360.j	9360i	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$15360$	$1.289268$	$40254822716/49359375$	$0.94318$	$4.16154$	$[0, 0, 0, 6477, -212222]$	$y^2=x^3+6477x-212222$	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[]$
9360.k1	9360l4	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.35	2B	$624$	$192$	$1$	$4.777467844$	$1$		$5$	$245760$	$2.466877$	$1556580279686303289604/114075$	$1.04256$	$6.81524$	$[0, 0, 0, -21902403, 39453520498]$	$y^2=x^3-21902403x+39453520498$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 12.24.0-12.h.1.2, 16.48.0-16.f.1.13, $\ldots$	$[(3602, 85410)]$
9360.k2	9360l5	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{11} \cdot 3^{12} \cdot 5^{16} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.113	2B	$624$	$192$	$1$	$9.554935688$	$1$		$1$	$491520$	$2.813450$	$8248670337458940482/1446075439453125$	$1.08352$	$6.31798$	$[0, 0, 0, -4811043, -3391121342]$	$y^2=x^3-4811043x-3391121342$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 16.48.0-16.f.2.1, $\ldots$	$[(-22606/5, 1853478/5)]$
9360.k3	9360l3	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{10} \cdot 3^{18} \cdot 5^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.122	2Cs	$312$	$192$	$1$	$4.777467844$	$1$		$5$	$245760$	$2.466877$	$405929061432816484/35083409765625$	$1.07074$	$5.91283$	$[0, 0, 0, -1399323, 587626522]$	$y^2=x^3-1399323x+587626522$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.3, 12.24.0-4.b.1.3, 24.96.0-24.t.1.1, $\ldots$	$[(233, 16560)]$
9360.k4	9360l2	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.10	2Cs	$312$	$192$	$1$	$2.388733922$	$1$		$7$	$122880$	$2.120304$	$1520107298839022416/13013105625$	$1.01425$	$5.90562$	$[0, 0, 0, -1368903, 616458598]$	$y^2=x^3-1368903x+616458598$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.1.7, 12.48.0-12.c.1.2, 24.96.0-24.g.2.2, $\ldots$	$[(-298, 31590)]$
9360.k5	9360l1	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.181	2B	$624$	$192$	$1$	$1.194366961$	$1$		$3$	$61440$	$1.773729$	$-5551350318708736/550618236675$	$1.01951$	$5.00594$	$[0, 0, 0, -83658, 10080007]$	$y^2=x^3-83658x+10080007$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.ba.1.8, 12.24.0-12.g.1.1, $\ldots$	$[(131, 1170)]$
9360.k6	9360l6	9360.k	9360l	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{11} \cdot 3^{30} \cdot 5^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.138	2B	$624$	$192$	$1$	$9.554935688$	$1$		$1$	$491520$	$2.813450$	$263059523447441758/2294739983908125$	$1.04969$	$6.23037$	$[0, 0, 0, 1525677, 2721121522]$	$y^2=x^3+1525677x+2721121522$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0-8.ba.2.8, $\ldots$	$[(9057/2, 1066855/2)]$
9360.l1	9360bl3	9360.l	9360bl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{6} \cdot 5 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$3120$	$192$	$3$	$1$	$4$	$2$	$1$	$24576$	$1.438240$	$294889639316481/260$	$1.02336$	$5.27406$	$[0, 0, 0, -199683, -34344702]$	$y^2=x^3-199683x-34344702$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$	$[]$
9360.l2	9360bl2	9360.l	9360bl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.35	2Cs	$1560$	$192$	$3$	$1$	$1$		$3$	$12288$	$1.091667$	$72043225281/67600$	$1.01871$	$4.36451$	$[0, 0, 0, -12483, -536382]$	$y^2=x^3-12483x-536382$	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$	$[]$
9360.l3	9360bl4	9360.l	9360bl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.2	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$24576$	$1.438240$	$-32798729601/71402500$	$1.04885$	$4.44913$	$[0, 0, 0, -9603, -790398]$	$y^2=x^3-9603x-790398$	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 520.48.1.?, 1040.96.3.?, $\ldots$	$[]$
9360.l4	9360bl1	9360.l	9360bl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{20} \cdot 3^{6} \cdot 5 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$6144$	$0.745093$	$33076161/16640$	$0.93564$	$3.52396$	$[0, 0, 0, -963, -4158]$	$y^2=x^3-963x-4158$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$	$[]$
9360.m1	9360c2	9360.m	9360c	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.915346$	$492983766/845$	$0.87955$	$4.10403$	$[0, 0, 0, -5643, -162918]$	$y^2=x^3-5643x-162918$	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
9360.m2	9360c1	9360.m	9360c	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.568772$	$-78732/325$	$0.84264$	$3.30141$	$[0, 0, 0, -243, -4158]$	$y^2=x^3-243x-4158$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
9360.n1	9360k1	9360.n	9360k	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.3	2B	$1560$	$48$	$0$	$3.249744626$	$1$		$3$	$1536$	$0.154970$	$3631696/65$	$0.75998$	$2.97916$	$[0, 0, 0, -183, -938]$	$y^2=x^3-183x-938$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$	$[(18, 40)]$
9360.n2	9360k2	9360.n	9360k	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.5	2B	$1560$	$48$	$0$	$1.624872313$	$1$		$5$	$3072$	$0.501544$	$-4/4225$	$1.09431$	$3.20713$	$[0, 0, 0, -3, -2702]$	$y^2=x^3-3x-2702$	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$	$[(27, 130)]$
9360.o1	9360bm7	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.110	2B	$6240$	$768$	$13$	$1$	$16$	$2$	$1$	$196608$	$2.431870$	$242970740812818720001/24375$	$1.04119$	$6.76373$	$[0, 0, 0, -18720003, -31175037502]$	$y^2=x^3-18720003x-31175037502$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 16.48.0-16.g.1.8, $\ldots$	$[]$
9360.o2	9360bm5	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.108	2Cs	$3120$	$768$	$13$	$1$	$4$	$2$	$3$	$98304$	$2.085297$	$59319456301170001/594140625$	$1.01234$	$5.85411$	$[0, 0, 0, -1170003, -487107502]$	$y^2=x^3-1170003x-487107502$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.8, 12.24.0-4.b.1.3, 24.96.0-24.bb.1.2, $\ldots$	$[]$
9360.o3	9360bm8	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{16} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.171	2B	$6240$	$768$	$13$	$1$	$4$	$2$	$1$	$196608$	$2.431870$	$-55150149867714721/5950927734375$	$1.01425$	$5.86484$	$[0, 0, 0, -1141923, -511598878]$	$y^2=x^3-1141923x-511598878$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.2, 16.48.0-16.g.1.4, $\ldots$	$[]$
9360.o4	9360bm3	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.42	2Cs	$3120$	$768$	$13$	$1$	$1$		$3$	$49152$	$1.738724$	$15551989015681/1445900625$	$0.97384$	$4.95228$	$[0, 0, 0, -74883, -7225918]$	$y^2=x^3-74883x-7225918$	2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 12.48.0-4.b.1.1, 24.96.0-24.b.1.2, $\ldots$	$[]$
9360.o5	9360bm2	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.4	2Cs	$3120$	$768$	$13$	$1$	$1$		$3$	$24576$	$1.392149$	$168288035761/27720225$	$1.01793$	$4.45729$	$[0, 0, 0, -16563, 693938]$	$y^2=x^3-16563x+693938$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 12.24.0-4.b.1.1, 16.48.0-8.i.1.3, $\ldots$	$[]$
9360.o6	9360bm1	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{12} \cdot 3^{10} \cdot 5 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.3	2B	$6240$	$768$	$13$	$1$	$1$		$1$	$12288$	$1.045576$	$147281603041/5265$	$0.93867$	$4.44271$	$[0, 0, 0, -15843, 767522]$	$y^2=x^3-15843x+767522$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$	$[]$
9360.o7	9360bm4	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{22} \cdot 5 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.3	2B	$6240$	$768$	$13$	$1$	$4$	$2$	$1$	$49152$	$1.738724$	$1023887723039/2798036865$	$1.05353$	$4.79849$	$[0, 0, 0, 30237, 3904418]$	$y^2=x^3+30237x+3904418$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$	$[]$
9360.o8	9360bm6	9360.o	9360bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.196	2B	$6240$	$768$	$13$	$1$	$1$		$1$	$98304$	$2.085297$	$24487529386319/183539412225$	$1.01498$	$5.27323$	$[0, 0, 0, 87117, -34215118]$	$y^2=x^3+87117x-34215118$	2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.q.1.4, 12.24.0-4.d.1.1, 24.96.0-24.be.2.1, $\ldots$	$[]$
9360.p1	9360bn5	9360.p	9360bn	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{13} \cdot 3^{14} \cdot 5 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.8	2B	$3120$	$192$	$1$	$1$	$4$	$2$	$1$	$98304$	$2.006527$	$81025909800741361/11088090$	$1.01361$	$5.88821$	$[0, 0, 0, -1298163, -569300942]$	$y^2=x^3-1298163x-569300942$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.2, $\ldots$	$[]$
9360.p2	9360bn4	9360.p	9360bn	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{7} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.94	2B	$3120$	$192$	$1$	$1$	$1$		$1$	$49152$	$1.659952$	$66730743078481/60937500$	$0.97968$	$5.11156$	$[0, 0, 0, -121683, 16324882]$	$y^2=x^3-121683x+16324882$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.15, $\ldots$	$[]$
9360.p3	9360bn3	9360.p	9360bn	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.14	2Cs	$1560$	$192$	$1$	$1$	$1$		$3$	$49152$	$1.659952$	$19948814692561/231344100$	$0.97293$	$4.97951$	$[0, 0, 0, -81363, -8842862]$	$y^2=x^3-81363x-8842862$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 24.48.0-24.h.2.6, $\ldots$	$[]$
9360.p4	9360bn6	9360.p	9360bn	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{13} \cdot 3^{8} \cdot 5 \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.93	2B	$3120$	$192$	$1$	$1$	$1$		$1$	$98304$	$2.006527$	$-168288035761/73415764890$	$1.05371$	$5.18196$	$[0, 0, 0, -16563, -22541582]$	$y^2=x^3-16563x-22541582$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 24.48.0-24.by.2.7, $\ldots$	$[]$
9360.p5	9360bn2	9360.p	9360bn	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.11	2Cs	$1560$	$192$	$1$	$1$	$1$		$3$	$24576$	$1.313379$	$30400540561/15210000$	$0.96238$	$4.27016$	$[0, 0, 0, -9363, 128338]$	$y^2=x^3-9363x+128338$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$	$[]$

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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.

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