LMFDB - Elliptic curve search results

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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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Results (1-50 of 53 matches)

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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	Semistable	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
161.a3	161a2	161.a	161a	$4$	$4$	$ 7 \cdot 23 $	$ 7 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$20$	$-0.798781$	$5545233/161$	$0.79467$	$3.05594$	$[1, -1, 1, -4, -2]$	$y^2+xy+y=x^3-x^2-4x-2$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$	$[]$
1127.a3	1127a1	1127.a	1127a	$4$	$4$	$ 7^{2} \cdot 23 $	$ 7^{7} \cdot 23 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.7	2B	$1288$	$48$	$0$	$1$	$1$		$3$	$240$	$0.174174$	$5545233/161$	$0.79467$	$3.87117$	$[1, -1, 1, -181, 956]$	$y^2+xy+y=x^3-x^2-181x+956$	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 184.24.0.?, 322.6.0.?, $\ldots$	$[]$
1449.d3	1449e1	1449.d	1449e	$4$	$4$	$ 3^{2} \cdot 7 \cdot 23 $	$ 3^{6} \cdot 7 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$160$	$-0.249475$	$5545233/161$	$0.79467$	$3.03905$	$[1, -1, 0, -33, 80]$	$y^2+xy=x^3-x^2-33x+80$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[]$
2576.j3	2576l1	2576.j	2576l	$4$	$4$	$ 2^{4} \cdot 7 \cdot 23 $	$ 2^{12} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.6	2B	$1288$	$48$	$0$	$1.180385711$	$1$		$5$	$320$	$-0.105634$	$5545233/161$	$0.79467$	$3.03619$	$[0, 0, 0, -59, 170]$	$y^2=x^3-59x+170$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$	$[(7, 10)]$
3703.a3	3703a1	3703.a	3703a	$4$	$4$	$ 7 \cdot 23^{2} $	$ 7 \cdot 23^{7} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.7	2B	$1288$	$48$	$0$	$1$	$1$		$3$	$2640$	$0.768966$	$5545233/161$	$0.79467$	$4.17936$	$[1, -1, 1, -1951, 32806]$	$y^2+xy+y=x^3-x^2-1951x+32806$	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.13, 184.24.0.?, 322.6.0.?, $\ldots$	$[]$
4025.e3	4025a1	4025.e	4025a	$4$	$4$	$ 5^{2} \cdot 7 \cdot 23 $	$ 5^{6} \cdot 7 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$640$	$0.005938$	$5545233/161$	$0.79467$	$3.03424$	$[1, -1, 0, -92, -309]$	$y^2+xy=x^3-x^2-92x-309$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 140.12.0.?, $\ldots$	$[]$
10143.p3	10143r1	10143.p	10143r	$4$	$4$	$ 3^{2} \cdot 7^{2} \cdot 23 $	$ 3^{6} \cdot 7^{7} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.723480$	$5545233/161$	$0.79467$	$3.66366$	$[1, -1, 0, -1626, -24193]$	$y^2+xy=x^3-x^2-1626x-24193$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[]$
10304.r3	10304w1	10304.r	10304w	$4$	$4$	$ 2^{6} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.12	2B	$1288$	$48$	$0$	$1.670258978$	$1$		$5$	$2560$	$0.240940$	$5545233/161$	$0.79467$	$3.03076$	$[0, 0, 0, -236, 1360]$	$y^2=x^3-236x+1360$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.1, 184.24.0.?, $\ldots$	$[(12, 16)]$
10304.s3	10304h1	10304.s	10304h	$4$	$4$	$ 2^{6} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 7 \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.12	2B	$1288$	$48$	$0$	$4.418187947$	$1$		$9$	$2560$	$0.240940$	$5545233/161$	$0.79467$	$3.03076$	$[0, 0, 0, -236, -1360]$	$y^2=x^3-236x-1360$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.9, 184.24.0.?, $\ldots$	$[(-8, 4), (-31/2, 15/2)]$
18032.l3	18032x1	18032.l	18032x	$4$	$4$	$ 2^{4} \cdot 7^{2} \cdot 23 $	$ 2^{12} \cdot 7^{7} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.8	2B	$1288$	$48$	$0$	$4.763093862$	$1$		$13$	$15360$	$0.867321$	$5545233/161$	$0.79467$	$3.62470$	$[0, 0, 0, -2891, -58310]$	$y^2=x^3-2891x-58310$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 322.6.0.?, $\ldots$	$[(-27, 8), (-33, 34)]$
19481.e3	19481b1	19481.e	19481b	$4$	$4$	$ 7 \cdot 11^{2} \cdot 23 $	$ 7 \cdot 11^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$14168$	$48$	$0$	$1$	$1$		$1$	$6400$	$0.400167$	$5545233/161$	$0.79467$	$3.02878$	$[1, -1, 0, -446, 3647]$	$y^2+xy=x^3-x^2-446x+3647$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 184.12.0.?, $\ldots$	$[]$
23184.o3	23184bj1	23184.o	23184bj	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 $	$ 2^{12} \cdot 3^{6} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$2.472625042$	$1$		$5$	$10240$	$0.443672$	$5545233/161$	$0.79467$	$3.02828$	$[0, 0, 0, -531, -4590]$	$y^2=x^3-531x-4590$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[(-14, 10)]$
25921.a3	25921b1	25921.a	25921b	$4$	$4$	$ 7^{2} \cdot 23^{2} $	$ 7^{7} \cdot 23^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.14	2B	$1288$	$48$	$0$	$5.102166655$	$1$		$3$	$126720$	$1.741920$	$5545233/161$	$0.79467$	$4.52797$	$[1, -1, 1, -95584, -11061382]$	$y^2+xy+y=x^3-x^2-95584x-11061382$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 28.12.0-4.c.1.2, 56.24.0-56.z.1.15, $\ldots$	$[(8102, 724646)]$
27209.l3	27209d1	27209.l	27209d	$4$	$4$	$ 7 \cdot 13^{2} \cdot 23 $	$ 7 \cdot 13^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$16744$	$48$	$0$	$6.722250842$	$1$		$1$	$9600$	$0.483694$	$5545233/161$	$0.79467$	$3.02784$	$[1, -1, 0, -623, -5680]$	$y^2+xy=x^3-x^2-623x-5680$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 104.12.0.?, 184.12.0.?, $\ldots$	$[(-1015/8, 6505/8)]$
28175.ba3	28175i1	28175.ba	28175i	$4$	$4$	$ 5^{2} \cdot 7^{2} \cdot 23 $	$ 5^{6} \cdot 7^{7} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$3.327177722$	$1$		$1$	$30720$	$0.978893$	$5545233/161$	$0.79467$	$3.59749$	$[1, -1, 0, -4517, 115016]$	$y^2+xy=x^3-x^2-4517x+115016$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[(131/2, 169/2)]$
33327.n3	33327g1	33327.n	33327g	$4$	$4$	$ 3^{2} \cdot 7 \cdot 23^{2} $	$ 3^{6} \cdot 7 \cdot 23^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$19.68922322$	$1$		$1$	$84480$	$1.318272$	$5545233/161$	$0.79467$	$3.93054$	$[1, -1, 0, -17556, -868213]$	$y^2+xy=x^3-x^2-17556x-868213$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[(-411703159/2288, 2223868405901/2288)]$
36225.k3	36225bf1	36225.k	36225bf	$4$	$4$	$ 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 3^{6} \cdot 5^{6} \cdot 7 \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.805285271$	$1$		$15$	$20480$	$0.555244$	$5545233/161$	$0.79467$	$3.02708$	$[1, -1, 1, -830, 9172]$	$y^2+xy+y=x^3-x^2-830x+9172$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 120.12.0.?, 184.12.0.?, $\ldots$	$[(14, 5), (-1, 100)]$
46529.a3	46529d1	46529.a	46529d	$4$	$4$	$ 7 \cdot 17^{2} \cdot 23 $	$ 7 \cdot 17^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$21896$	$48$	$0$	$1$	$1$		$1$	$25600$	$0.617826$	$5545233/161$	$0.79467$	$3.02645$	$[1, -1, 1, -1066, -12784]$	$y^2+xy+y=x^3-x^2-1066x-12784$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 136.12.0.?, 184.12.0.?, $\ldots$	$[]$
58121.c3	58121b1	58121.c	58121b	$4$	$4$	$ 7 \cdot 19^{2} \cdot 23 $	$ 7 \cdot 19^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$24472$	$48$	$0$	$5.964329621$	$1$		$1$	$34560$	$0.673438$	$5545233/161$	$0.79467$	$3.02591$	$[1, -1, 0, -1331, 18552]$	$y^2+xy=x^3-x^2-1331x+18552$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 152.12.0.?, 184.12.0.?, $\ldots$	$[(7301/20, 2439/20)]$
59248.p3	59248y1	59248.p	59248y	$4$	$4$	$ 2^{4} \cdot 7 \cdot 23^{2} $	$ 2^{12} \cdot 7 \cdot 23^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.8	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$1$	$168960$	$1.462112$	$5545233/161$	$0.79467$	$3.88182$	$[0, 0, 0, -31211, -2068390]$	$y^2=x^3-31211x-2068390$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.5, 184.24.0.?, 322.6.0.?, $\ldots$	$[]$
64400.bl3	64400bo1	64400.bl	64400bo	$4$	$4$	$ 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{12} \cdot 5^{6} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$0.861595932$	$1$		$7$	$40960$	$0.699085$	$5545233/161$	$0.79467$	$3.02567$	$[0, 0, 0, -1475, 21250]$	$y^2=x^3-1475x+21250$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 140.12.0.?, $\ldots$	$[(15, 50)]$
72128.bd3	72128b1	72128.bd	72128b	$4$	$4$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ 2^{18} \cdot 7^{7} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.8	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$122880$	$1.213894$	$5545233/161$	$0.79467$	$3.54728$	$[0, 0, 0, -11564, 466480]$	$y^2=x^3-11564x+466480$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.z.1.11, 184.24.0.?, $\ldots$	$[]$
72128.bg3	72128bw1	72128.bg	72128bw	$4$	$4$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ 2^{18} \cdot 7^{7} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.7	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$1$	$122880$	$1.213894$	$5545233/161$	$0.79467$	$3.54728$	$[0, 0, 0, -11564, -466480]$	$y^2=x^3-11564x-466480$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.3, 184.24.0.?, $\ldots$	$[]$
92575.w3	92575q1	92575.w	92575q	$4$	$4$	$ 5^{2} \cdot 7 \cdot 23^{2} $	$ 5^{6} \cdot 7 \cdot 23^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$3.857939709$	$1$		$3$	$337920$	$1.573685$	$5545233/161$	$0.79467$	$3.84740$	$[1, -1, 0, -48767, 4052016]$	$y^2+xy=x^3-x^2-48767x+4052016$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[(-36, 2418)]$
92736.eb3	92736dx1	92736.eb	92736dx	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 3^{6} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$4.525193058$	$1$		$1$	$81920$	$0.790246$	$5545233/161$	$0.79467$	$3.02485$	$[0, 0, 0, -2124, -36720]$	$y^2=x^3-2124x-36720$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[(-95/2, 145/2)]$
92736.ey3	92736cm1	92736.ey	92736cm	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 3^{6} \cdot 7 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$81920$	$0.790246$	$5545233/161$	$0.79467$	$3.02485$	$[0, 0, 0, -2124, 36720]$	$y^2=x^3-2124x+36720$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[]$
135401.c3	135401c1	135401.c	135401c	$4$	$4$	$ 7 \cdot 23 \cdot 29^{2} $	$ 7 \cdot 23 \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$37352$	$48$	$0$	$1$	$4$	$2$	$1$	$125440$	$0.884867$	$5545233/161$	$0.79467$	$3.02406$	$[1, -1, 0, -3101, -64008]$	$y^2+xy=x^3-x^2-3101x-64008$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 232.12.0.?, $\ldots$	$[]$
136367.m3	136367m1	136367.m	136367m	$4$	$4$	$ 7^{2} \cdot 11^{2} \cdot 23 $	$ 7^{7} \cdot 11^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$14168$	$48$	$0$	$15.24482081$	$1$		$1$	$307200$	$1.373121$	$5545233/161$	$0.79467$	$3.51780$	$[1, -1, 0, -21863, -1207200]$	$y^2+xy=x^3-x^2-21863x-1207200$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[(37098912/323, 195883192992/323)]$
154721.a3	154721a1	154721.a	154721a	$4$	$4$	$ 7 \cdot 23 \cdot 31^{2} $	$ 7 \cdot 23 \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$39928$	$48$	$0$	$1$	$1$		$1$	$151200$	$0.918213$	$5545233/161$	$0.79467$	$3.02379$	$[1, -1, 1, -3544, 80018]$	$y^2+xy+y=x^3-x^2-3544x+80018$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 248.12.0.?, $\ldots$	$[]$
162288.fn3	162288cl1	162288.fn	162288cl	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$491520$	$1.416628$	$5545233/161$	$0.79467$	$3.51029$	$[0, 0, 0, -26019, 1574370]$	$y^2=x^3-26019x+1574370$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$	$[]$
175329.d3	175329e1	175329.d	175329e	$4$	$4$	$ 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 $	$ 3^{6} \cdot 7 \cdot 11^{6} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$42504$	$48$	$0$	$9.878738250$	$1$		$7$	$204800$	$0.949472$	$5545233/161$	$0.79467$	$3.02354$	$[1, -1, 1, -4016, -94454]$	$y^2+xy+y=x^3-x^2-4016x-94454$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 264.12.0.?, $\ldots$	$[(-32, 38), (184, 2225)]$
190463.bl3	190463bl1	190463.bl	190463bl	$4$	$4$	$ 7^{2} \cdot 13^{2} \cdot 23 $	$ 7^{7} \cdot 13^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$16744$	$48$	$0$	$1$	$1$		$1$	$460800$	$1.456648$	$5545233/161$	$0.79467$	$3.50357$	$[1, -1, 0, -30536, 2009307]$	$y^2+xy=x^3-x^2-30536x+2009307$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[]$
220409.c3	220409c1	220409.c	220409c	$4$	$4$	$ 7 \cdot 23 \cdot 37^{2} $	$ 7 \cdot 23 \cdot 37^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$47656$	$48$	$0$	$16.56451218$	$1$		$1$	$259200$	$1.006678$	$5545233/161$	$0.79467$	$3.02310$	$[1, -1, 0, -5048, -133285]$	$y^2+xy=x^3-x^2-5048x-133285$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 296.12.0.?, $\ldots$	$[(-17781895/656, 22462652005/656)]$
233289.bl3	233289bl1	233289.bl	233289bl	$4$	$4$	$ 3^{2} \cdot 7^{2} \cdot 23^{2} $	$ 3^{6} \cdot 7^{7} \cdot 23^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$3864$	$48$	$0$	$1$	$1$		$1$	$4055040$	$2.291225$	$5545233/161$	$0.79467$	$4.25634$	$[1, -1, 0, -860253, 299517560]$	$y^2+xy=x^3-x^2-860253x+299517560$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 56.12.0.z.1, 84.12.0.?, $\ldots$	$[]$
236992.bo3	236992bo1	236992.bo	236992bo	$4$	$4$	$ 2^{6} \cdot 7 \cdot 23^{2} $	$ 2^{18} \cdot 7 \cdot 23^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.8	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$1351680$	$1.808687$	$5545233/161$	$0.79467$	$3.78304$	$[0, 0, 0, -124844, 16547120]$	$y^2=x^3-124844x+16547120$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.z.1.6, 184.24.0.?, $\ldots$	$[]$
236992.bq3	236992bq1	236992.bq	236992bq	$4$	$4$	$ 2^{6} \cdot 7 \cdot 23^{2} $	$ 2^{18} \cdot 7 \cdot 23^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.7	2B	$1288$	$48$	$0$	$29.08551576$	$1$		$5$	$1351680$	$1.808687$	$5545233/161$	$0.79467$	$3.78304$	$[0, 0, 0, -124844, -16547120]$	$y^2=x^3-124844x-16547120$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.14, 184.24.0.?, $\ldots$	$[(-198, 640), (133242/17, 24016000/17)]$
244881.v3	244881v1	244881.v	244881v	$4$	$4$	$ 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 $	$ 3^{6} \cdot 7 \cdot 13^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$50232$	$48$	$0$	$6.624272500$	$1$		$1$	$307200$	$1.032999$	$5545233/161$	$0.79467$	$3.02291$	$[1, -1, 1, -5609, 158968]$	$y^2+xy+y=x^3-x^2-5609x+158968$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 312.12.0.?, $\ldots$	$[(2314/5, 75778/5)]$
253575.bb3	253575bb1	253575.bb	253575bb	$4$	$4$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$19320$	$48$	$0$	$3.008815141$	$1$		$5$	$983040$	$1.528198$	$5545233/161$	$0.79467$	$3.49198$	$[1, -1, 1, -40655, -3064778]$	$y^2+xy+y=x^3-x^2-40655x-3064778$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 60.12.0-4.c.1.2, 184.12.0.?, $\ldots$	$[(-106, 265)]$
257600.cp3	257600cp1	257600.cp	257600cp	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 5^{6} \cdot 7 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$327680$	$1.045658$	$5545233/161$	$0.79467$	$3.02281$	$[0, 0, 0, -5900, -170000]$	$y^2=x^3-5900x-170000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[]$
257600.dy3	257600dy1	257600.dy	257600dy	$4$	$4$	$ 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{18} \cdot 5^{6} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$6440$	$48$	$0$	$2.625638280$	$1$		$3$	$327680$	$1.045658$	$5545233/161$	$0.79467$	$3.02281$	$[0, 0, 0, -5900, 170000]$	$y^2=x^3-5900x+170000$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[(5, 375)]$
270641.b3	270641b1	270641.b	270641b	$4$	$4$	$ 7 \cdot 23 \cdot 41^{2} $	$ 7 \cdot 23 \cdot 41^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$52808$	$48$	$0$	$9.229964177$	$1$		$1$	$345600$	$1.058004$	$5545233/161$	$0.79467$	$3.02272$	$[1, -1, 1, -6199, -181522]$	$y^2+xy+y=x^3-x^2-6199x-181522$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 322.6.0.?, $\ldots$	$[(-11031/16, 350755/16)]$
297689.b3	297689b1	297689.b	297689b	$4$	$4$	$ 7 \cdot 23 \cdot 43^{2} $	$ 7 \cdot 23 \cdot 43^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$55384$	$48$	$0$	$1$	$1$		$1$	$376320$	$1.081820$	$5545233/161$	$0.79467$	$3.02255$	$[1, -1, 0, -6818, 212895]$	$y^2+xy=x^3-x^2-6818x+212895$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 322.6.0.?, $\ldots$	$[]$
311696.bu3	311696bu1	311696.bu	311696bu	$4$	$4$	$ 2^{4} \cdot 7 \cdot 11^{2} \cdot 23 $	$ 2^{12} \cdot 7 \cdot 11^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$14168$	$48$	$0$	$8.753426463$	$1$		$1$	$409600$	$1.093313$	$5545233/161$	$0.79467$	$3.02247$	$[0, 0, 0, -7139, -226270]$	$y^2=x^3-7139x-226270$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 184.12.0.?, $\ldots$	$[(-7895/12, 31445/12)]$
325703.e3	325703e1	325703.e	325703e	$4$	$4$	$ 7^{2} \cdot 17^{2} \cdot 23 $	$ 7^{7} \cdot 17^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$21896$	$48$	$0$	$2.561811423$	$1$		$3$	$1228800$	$1.590780$	$5545233/161$	$0.79467$	$3.48228$	$[1, -1, 1, -52219, 4489258]$	$y^2+xy+y=x^3-x^2-52219x+4489258$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 68.12.0-4.c.1.2, 184.12.0.?, $\ldots$	$[(-4, 2169)]$
355649.c3	355649c1	355649.c	355649c	$4$	$4$	$ 7 \cdot 23 \cdot 47^{2} $	$ 7 \cdot 23 \cdot 47^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$60536$	$48$	$0$	$1$	$1$		$1$	$496800$	$1.126293$	$5545233/161$	$0.79467$	$3.02224$	$[1, -1, 1, -8146, 277816]$	$y^2+xy+y=x^3-x^2-8146x+277816$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 322.6.0.?, $\ldots$	$[]$
406847.d3	406847d1	406847.d	406847d	$4$	$4$	$ 7^{2} \cdot 19^{2} \cdot 23 $	$ 7^{7} \cdot 19^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$24472$	$48$	$0$	$7.415523651$	$1$		$1$	$1658880$	$1.646393$	$5545233/161$	$0.79467$	$3.47398$	$[1, -1, 0, -65228, -6232885]$	$y^2+xy=x^3-x^2-65228x-6232885$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 76.12.0.?, 184.12.0.?, $\ldots$	$[(358138/3, 213782717/3)]$
414736.bj3	414736bj1	414736.bj	414736bj	$4$	$4$	$ 2^{4} \cdot 7^{2} \cdot 23^{2} $	$ 2^{12} \cdot 7^{7} \cdot 23^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.14	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$8110080$	$2.435070$	$5545233/161$	$0.79467$	$4.20046$	$[0, 0, 0, -1529339, 709457770]$	$y^2=x^3-1529339x+709457770$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 28.12.0-4.c.1.1, 56.24.0-56.z.1.7, $\ldots$	$[]$
418761.bg3	418761bg1	418761.bg	418761bg	$4$	$4$	$ 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 $	$ 3^{6} \cdot 7 \cdot 17^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$65688$	$48$	$0$	$1$	$4$	$2$	$1$	$819200$	$1.167131$	$5545233/161$	$0.79467$	$3.02196$	$[1, -1, 0, -9591, 354752]$	$y^2+xy=x^3-x^2-9591x+354752$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 322.6.0.?, $\ldots$	$[]$
435344.z3	435344z1	435344.z	435344z	$4$	$4$	$ 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 $	$ 2^{12} \cdot 7 \cdot 13^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$16744$	$48$	$0$	$1$	$1$		$1$	$614400$	$1.176842$	$5545233/161$	$0.79467$	$3.02189$	$[0, 0, 0, -9971, 373490]$	$y^2=x^3-9971x+373490$	2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 104.12.0.?, 184.12.0.?, $\ldots$	$[]$
448063.n3	448063n1	448063.n	448063n	$4$	$4$	$ 7 \cdot 11^{2} \cdot 23^{2} $	$ 7 \cdot 11^{6} \cdot 23^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.6.0.1	2B	$14168$	$48$	$0$	$1$	$4$	$2$	$1$	$3379200$	$1.967915$	$5545233/161$	$0.79467$	$3.74471$	$[1, -1, 0, -236033, -42957040]$	$y^2+xy=x^3-x^2-236033x-42957040$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0.z.1, 184.12.0.?, $\ldots$	$[]$

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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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