LMFDB - Elliptic curves over $\Q$ of conductor 227700

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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

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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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
227700.a1	227700a1	227700.a	227700a	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11^{2} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1.679077652$	$1$		$2$	$436224$	$0.989296$	$-179830784/25047$	$0.94161$	$2.93361$	$[0, 0, 0, -3360, -83500]$	$y^2=x^3-3360x-83500$	230.2.0.?	$[(85, 495)]$
227700.b1	227700o1	227700.b	227700o	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{15} \cdot 11^{2} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1.547259281$	$1$		$4$	$53498880$	$3.551533$	$-164902021520455131136/1521088873046875$	$0.99428$	$5.54170$	$[0, 0, 0, -163216200, 808959746500]$	$y^2=x^3-163216200x+808959746500$	230.2.0.?	$[(5480, 281250)]$
227700.c1	227700c2	227700.c	227700c	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11^{2} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1.085980372$	$1$		$21$	$294912$	$1.042099$	$1031699216/25047$	$0.83699$	$3.05774$	$[0, 0, 0, -6015, 175750]$	$y^2=x^3-6015x+175750$	2.3.0.a.1, 460.6.0.?, 660.6.0.?, 3036.6.0.?, 15180.12.0.?	$[(35, 90), (59, 162)]$
227700.c2	227700c1	227700.c	227700c	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11 \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1.085980372$	$1$		$19$	$147456$	$0.695525$	$44957696/17457$	$0.91945$	$2.57899$	$[0, 0, 0, -840, -5375]$	$y^2=x^3-840x-5375$	2.3.0.a.1, 330.6.0.?, 460.6.0.?, 3036.6.0.?, 15180.12.0.?	$[(44, 207), (35, 90)]$
227700.d1	227700q2	227700.d	227700q	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1012$	$12$	$0$	$2.755491179$	$1$		$15$	$540672$	$1.335709$	$727988688/2783$	$0.86772$	$3.42088$	$[0, 0, 0, -26775, 1680750]$	$y^2=x^3-26775x+1680750$	2.3.0.a.1, 44.6.0.c.1, 92.6.0.?, 1012.12.0.?	$[(115, 350), (99, 18)]$
227700.d2	227700q1	227700.d	227700q	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1012$	$12$	$0$	$0.688872794$	$1$		$27$	$270336$	$0.989135$	$-442368/5819$	$0.97508$	$2.85248$	$[0, 0, 0, -900, 50625]$	$y^2=x^3-900x+50625$	2.3.0.a.1, 22.6.0.a.1, 92.6.0.?, 1012.12.0.?	$[(0, 225), (24, 207)]$
227700.e1	227700cg1	227700.e	227700cg	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{11} \cdot 11 \cdot 23^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$1$	$4$	$2$	$0$	$383201280$	$4.542091$	$-72506876116421629181952/32752835428291240625$	$1.08745$	$6.34773$	$[0, 0, 0, -3723364800, -116689390465500]$	$y^2=x^3-3723364800x-116689390465500$	7590.2.0.?	$[]$
227700.f1	227700b1	227700.f	227700b	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.4	2B	$10120$	$48$	$1$	$0.777465630$	$1$		$21$	$442368$	$1.200134$	$17386831872/7745089$	$0.96883$	$3.06195$	$[0, 0, 0, -6120, 88425]$	$y^2=x^3-6120x+88425$	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 20.12.0.k.1, 88.12.0.?, $\ldots$	$[(4, 253), (70, 55)]$
227700.f2	227700b2	227700.f	227700b	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 23^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.4	2B	$10120$	$48$	$1$	$0.777465630$	$1$		$27$	$884736$	$1.546707$	$44565858288/33860761$	$0.92790$	$3.36301$	$[0, 0, 0, 21105, 660150]$	$y^2=x^3+21105x+660150$	2.3.0.a.1, 4.6.0.e.1, 20.12.0.l.1, 88.12.0.?, 184.12.0.?, $\ldots$	$[(39, 1242), (15, 990)]$
227700.g1	227700p1	227700.g	227700p	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 11^{3} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$0.276279605$	$1$		$28$	$1935360$	$1.965996$	$-42415857664/37194795$	$0.85951$	$3.82519$	$[0, 0, 0, -103800, 20414500]$	$y^2=x^3-103800x+20414500$	7590.2.0.?	$[(-40, 4950), (1280, 44550)]$
227700.h1	227700cf1	227700.h	227700cf	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{11} \cdot 11 \cdot 23^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$1$	$1$		$0$	$127733760$	$3.992786$	$-72506876116421629181952/32752835428291240625$	$1.08745$	$5.81338$	$[0, 0, 0, -413707200, 4321829276500]$	$y^2=x^3-413707200x+4321829276500$	7590.2.0.?	$[]$
227700.i1	227700s1	227700.i	227700s	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$506$	$2$	$0$	$1$	$1$		$0$	$648000$	$1.537125$	$1638400/253$	$0.73264$	$3.44854$	$[0, 0, 0, -30000, 1712500]$	$y^2=x^3-30000x+1712500$	506.2.0.?	$[]$
227700.j1	227700d1	227700.j	227700d	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11 \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$506$	$2$	$0$	$1$	$1$		$0$	$1944000$	$1.762012$	$280944640/133837$	$0.81965$	$3.60464$	$[0, 0, 0, -57000, 2202500]$	$y^2=x^3-57000x+2202500$	506.2.0.?	$[]$
227700.k1	227700r1	227700.k	227700r	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1518$	$2$	$0$	$1$	$1$		$0$	$207360$	$0.826992$	$1257728/759$	$0.73400$	$2.68047$	$[0, 0, 0, 1275, 3625]$	$y^2=x^3+1275x+3625$	1518.2.0.?	$[]$
227700.l1	227700ci2	227700.l	227700ci	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$7.370307227$	$1$		$1$	$2359296$	$1.962694$	$120288273264/64009$	$0.86691$	$4.10209$	$[0, 0, 0, -440775, -112583250]$	$y^2=x^3-440775x-112583250$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-24335/8, 103625/8)]$
227700.l2	227700ci1	227700.l	227700ci	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 11^{4} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$3.685153613$	$1$		$3$	$1179648$	$1.616121$	$764411904/336743$	$1.13047$	$3.46726$	$[0, 0, 0, -32400, -1096875]$	$y^2=x^3-32400x-1096875$	2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(-125, 1000)]$
227700.m1	227700bb2	227700.m	227700bb	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$20.90977472$	$1$		$1$	$7667712$	$2.595150$	$190930594365830608/1728243$	$0.96973$	$4.99232$	$[0, 0, 0, -17138775, -27309753250]$	$y^2=x^3-17138775x-27309753250$	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[(17078072785/646, 2219919291798975/646)]$
227700.m2	227700bb1	227700.m	227700bb	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 11 \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$10.45488736$	$1$		$1$	$3833856$	$2.248573$	$-744208243621888/2244044979$	$1.08325$	$4.31828$	$[0, 0, 0, -1070400, -427361875]$	$y^2=x^3-1070400x-427361875$	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[(1842625/38, 925653825/38)]$
227700.n1	227700bc1	227700.n	227700bc	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$46$	$2$	$0$	$3.911559387$	$1$		$2$	$576000$	$1.325724$	$-7626496/336743$	$0.85402$	$3.17902$	$[0, 0, 0, -2325, -379375]$	$y^2=x^3-2325x-379375$	46.2.0.a.1	$[(200, 2675)]$
227700.o1	227700cc1	227700.o	227700cc	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$2.023708460$	$1$		$10$	$322560$	$1.091331$	$221184/253$	$0.70615$	$2.88856$	$[0, 0, 0, 3000, 62500]$	$y^2=x^3+3000x+62500$	7590.2.0.?	$[(0, 250), (500, 11250)]$
227700.p1	227700bd2	227700.p	227700bd	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{2} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5060$	$12$	$0$	$2.149971522$	$1$		$17$	$1032192$	$1.784397$	$84433792336/1127115$	$0.81174$	$3.80622$	$[0, 0, 0, -130575, -17950250]$	$y^2=x^3-130575x-17950250$	2.3.0.a.1, 44.6.0.c.1, 460.6.0.?, 5060.12.0.?	$[(-205, 450), (470, 4950)]$
227700.p2	227700bd1	227700.p	227700bd	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11 \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5060$	$12$	$0$	$2.149971522$	$1$		$21$	$516096$	$1.437822$	$-1048576/1309275$	$0.98616$	$3.28808$	$[0, 0, 0, -1200, -743375]$	$y^2=x^3-1200x-743375$	2.3.0.a.1, 22.6.0.a.1, 460.6.0.?, 5060.12.0.?	$[(110, 675), (164, 1863)]$
227700.q1	227700be2	227700.q	227700be	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{16} \cdot 5^{11} \cdot 11 \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$11.04306870$	$1$		$1$	$71884800$	$3.865879$	$689876908566571535056/300484635328659375$	$1.04300$	$5.65643$	$[0, 0, 0, -262993575, 816431494750]$	$y^2=x^3-262993575x+816431494750$	2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.?	$[(-6989/3, 27271234/3)]$
227700.q2	227700be1	227700.q	227700be	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{11} \cdot 5^{16} \cdot 11^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$5.521534352$	$1$		$3$	$35942400$	$3.519306$	$6849676135853988560896/3493616220703125$	$1.01320$	$5.61775$	$[0, 0, 0, -224321700, 1292598291625]$	$y^2=x^3-224321700x+1292598291625$	2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.?	$[(7904, 115533)]$
227700.r1	227700bf1	227700.r	227700bf	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{12} \cdot 11^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$46$	$2$	$0$	$2.274264264$	$1$		$2$	$2073600$	$2.137009$	$-1698323056384/5261609375$	$0.87932$	$3.97466$	$[0, 0, 0, -140925, 51326125]$	$y^2=x^3-140925x+51326125$	46.2.0.a.1	$[(645, 15125)]$
227700.s1	227700ch2	227700.s	227700ch	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.715240818$	$1$		$9$	$786432$	$1.413387$	$120288273264/64009$	$0.86691$	$3.56773$	$[0, 0, 0, -48975, 4169750]$	$y^2=x^3-48975x+4169750$	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(155, 550)]$
227700.s2	227700ch1	227700.s	227700ch	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.357620409$	$1$		$11$	$393216$	$1.066814$	$764411904/336743$	$1.13047$	$2.93290$	$[0, 0, 0, -3600, 40625]$	$y^2=x^3-3600x+40625$	2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(-10, 275)]$
227700.t1	227700e1	227700.t	227700e	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 11^{7} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$0.482506168$	$1$		$20$	$1483776$	$1.848217$	$-168516190208/1344614799$	$0.96604$	$3.68921$	$[0, 0, 0, -32880, -8824700]$	$y^2=x^3-32880x-8824700$	7590.2.0.?	$[(284, 2178), (405, 6655)]$
227700.u1	227700t1	227700.u	227700t	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 23^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$46$	$2$	$0$	$1$	$4$	$2$	$0$	$33062400$	$3.370407$	$-4777554520541237119744/49850049369527$	$1.01697$	$5.58855$	$[0, 0, 0, -198937425, -1080007489375]$	$y^2=x^3-198937425x-1080007489375$	46.2.0.a.1	$[]$
227700.v1	227700f2	227700.v	227700f	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 23^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.406103908$	$1$		$19$	$1032192$	$1.753500$	$1925348559248/249338331$	$0.87183$	$3.66829$	$[0, 0, 0, -74055, 6833950]$	$y^2=x^3-74055x+6833950$	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(35, 2070), (3665/4, 87975/4)]$
227700.v2	227700f1	227700.v	227700f	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 11^{2} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.406103908$	$1$		$17$	$516096$	$1.406927$	$27818984357888/576081$	$0.93656$	$3.66003$	$[0, 0, 0, -71580, 7371025]$	$y^2=x^3-71580x+7371025$	2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.?	$[(164, 207), (-250, 3105)]$
227700.w1	227700u2	227700.w	227700u	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{12} \cdot 5^{7} \cdot 11 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1$	$1$		$1$	$1548288$	$1.920578$	$54108072016/21210255$	$0.82321$	$3.77015$	$[0, 0, 0, -112575, 8257750]$	$y^2=x^3-112575x+8257750$	2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.?	$[]$
227700.w2	227700u1	227700.w	227700u	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.574003$	$79082438656/1878525$	$0.95393$	$3.57615$	$[0, 0, 0, -50700, -4302875]$	$y^2=x^3-50700x-4302875$	2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.?	$[]$
227700.x1	227700v1	227700.x	227700v	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$15180$	$16$	$0$	$1$	$1$		$0$	$248832$	$0.981228$	$-115431760/184437$	$0.77031$	$2.85710$	$[0, 0, 0, -1695, -52090]$	$y^2=x^3-1695x-52090$	3.4.0.a.1, 15.8.0-3.a.1.1, 1012.2.0.?, 3036.8.0.?, 15180.16.0.?	$[]$
227700.x2	227700v2	227700.x	227700v	$2$	$3$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$15180$	$16$	$0$	$1$	$1$		$0$	$746496$	$1.530535$	$72338485040/145748493$	$0.85757$	$3.34549$	$[0, 0, 0, 14505, 1059230]$	$y^2=x^3+14505x+1059230$	3.4.0.a.1, 15.8.0-3.a.1.2, 1012.2.0.?, 3036.8.0.?, 15180.16.0.?	$[]$
227700.y1	227700w4	227700.y	227700w	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{12} \cdot 5^{9} \cdot 11^{3} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$65691648$	$3.699760$	$427912845708615075664/17954884382601375$	$0.96878$	$5.61772$	$[0, 0, 0, -224288175, 1245126131750]$	$y^2=x^3-224288175x+1245126131750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
227700.y2	227700w3	227700.y	227700w	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{12} \cdot 11^{6} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$32845824$	$3.353188$	$31027744327833370624/9093339571078125$	$1.00133$	$5.18024$	$[0, 0, 0, -37116300, -61146383875]$	$y^2=x^3-37116300x-61146383875$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
227700.y3	227700w2	227700.y	227700w	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{24} \cdot 5^{7} \cdot 11 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$21897216$	$3.150455$	$1493164047567607504/11271999127455$	$0.94178$	$5.15905$	$[0, 0, 0, -34019175, -75872169250]$	$y^2=x^3-34019175x-75872169250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
227700.y4	227700w1	227700.y	227700w	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{15} \cdot 5^{8} \cdot 11^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$10948608$	$2.803883$	$23760502964664254464/1369444725$	$0.99158$	$5.15861$	$[0, 0, 0, -33957300, -76163662375]$	$y^2=x^3-33957300x-76163662375$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
227700.z1	227700cb1	227700.z	227700cb	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$7590$	$2$	$0$	$1$	$1$		$0$	$967680$	$1.640638$	$221184/253$	$0.70615$	$3.42292$	$[0, 0, 0, 27000, -1687500]$	$y^2=x^3+27000x-1687500$	7590.2.0.?	$[]$
227700.ba1	227700x2	227700.ba	227700x	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5060$	$12$	$0$	$4.547689530$	$1$		$3$	$5308416$	$2.505383$	$52958093807222224/1127115$	$0.92306$	$4.88836$	$[0, 0, 0, -11177175, 14382890750]$	$y^2=x^3-11177175x+14382890750$	2.3.0.a.1, 44.6.0.c.1, 460.6.0.?, 5060.12.0.?	$[(830, 75350)]$
227700.ba2	227700x1	227700.ba	227700x	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{14} \cdot 5^{8} \cdot 11 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5060$	$12$	$0$	$2.273844765$	$1$		$3$	$2654208$	$2.158810$	$-206181203574784/954461475$	$0.94773$	$4.21446$	$[0, 0, 0, -697800, 225255125]$	$y^2=x^3-697800x+225255125$	2.3.0.a.1, 22.6.0.a.1, 460.6.0.?, 5060.12.0.?	$[(535, 2250)]$
227700.bb1	227700y2	227700.bb	227700y	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{28} \cdot 5^{7} \cdot 11^{5} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$11.57509767$	$1$		$1$	$150036480$	$4.206512$	$78033177843832053218896/13367700477230561055$	$0.99135$	$6.03974$	$[0, 0, 0, -1271884575, 14648724269750]$	$y^2=x^3-1271884575x+14648724269750$	2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.?	$[(9276694/17, 12901741578/17)]$
227700.bb2	227700y1	227700.bb	227700y	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{17} \cdot 5^{8} \cdot 11^{10} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$5.787548838$	$1$		$1$	$75018240$	$3.859940$	$29744196765412662132736/2641973749581174525$	$1.01990$	$5.73679$	$[0, 0, 0, -365972700, -2479351550875]$	$y^2=x^3-365972700x-2479351550875$	2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.?	$[(825265/2, 746368425/2)]$
227700.bc1	227700z2	227700.bc	227700z	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 11 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$0.634232015$	$1$		$11$	$811008$	$1.648893$	$13674725584/261855$	$0.78930$	$3.65865$	$[0, 0, 0, -71175, 7186750]$	$y^2=x^3-71175x+7186750$	2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.?	$[(215, 1350)]$
227700.bc2	227700z1	227700.bc	227700z	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1.268464030$	$1$		$7$	$405504$	$1.302320$	$488095744/208725$	$0.80768$	$3.16372$	$[0, 0, 0, -9300, -176375]$	$y^2=x^3-9300x-176375$	2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.?	$[(-30, 275)]$
227700.bd1	227700ba4	227700.bd	227700ba	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{6} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$27869184$	$3.242001$	$14216954944919509456/8729605988235$	$0.95283$	$5.34173$	$[0, 0, 0, -72103575, 235533554750]$	$y^2=x^3-72103575x+235533554750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
227700.bd2	227700ba3	227700.bd	227700ba	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{3} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$13934592$	$2.895428$	$-29853392180740096/44333047858275$	$0.99636$	$4.72021$	$[0, 0, 0, -3664200, 5098179125]$	$y^2=x^3-3664200x+5098179125$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 22.6.0.a.1, $\ldots$	$[]$
227700.bd3	227700ba2	227700.bd	227700ba	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{18} \cdot 5^{9} \cdot 11^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$9289728$	$2.692696$	$876635730354256/184875037875$	$0.90204$	$4.55590$	$[0, 0, 0, -2848575, -1475280250]$	$y^2=x^3-2848575x-1475280250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
227700.bd4	227700ba1	227700.bd	227700ba	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{12} \cdot 5^{12} \cdot 11 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$15180$	$96$	$1$	$1$	$1$		$1$	$4644864$	$2.346123$	$34845190651904/66282046875$	$0.96205$	$4.13675$	$[0, 0, 0, 385800, -139483375]$	$y^2=x^3+385800x-139483375$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 22.6.0.a.1, $\ldots$	$[]$

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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.

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