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	Manin constant

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Results (42 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
510.c4	510d4	510.c	510d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.59	2B	$136$	$48$	$0$	$0.342397769$	$1$		$10$	$768$	$0.800533$	$21464092074671/109596256200$	$1.00093$	$5.25382$	$[1, 1, 1, 579, -14757]$	$y^2+xy+y=x^3+x^2+579x-14757$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 136.48.0.?	$[(21, 74)]$
1530.d4	1530f4	1530.d	1530f	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$1.187807585$	$1$		$6$	$6144$	$1.349838$	$21464092074671/109596256200$	$1.00093$	$5.36561$	$[1, -1, 0, 5211, 403645]$	$y^2+xy=x^3-x^2+5211x+403645$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[(21, 712)]$
2550.n4	2550k4	2550.n	2550k	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$1$	$1$		$0$	$18432$	$1.605251$	$21464092074671/109596256200$	$1.00093$	$5.40693$	$[1, 0, 1, 14474, -1873552]$	$y^2+xy+y=x^3+14474x-1873552$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[ ]$
4080.x4	4080bb4	4080.x	4080bb	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.48	2B	$136$	$48$	$0$	$1$	$1$		$3$	$18432$	$1.493681$	$21464092074671/109596256200$	$1.00093$	$4.94022$	$[0, 1, 0, 9264, 962964]$	$y^2=x^3+x^2+9264x+962964$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 136.48.0.?	$[ ]$
7650.cn4	7650cf4	7650.cn	7650cf	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2040$	$48$	$0$	$1$	$1$		$0$	$147456$	$2.154556$	$21464092074671/109596256200$	$1.00093$	$5.47979$	$[1, -1, 1, 130270, 50585897]$	$y^2+xy+y=x^3-x^2+130270x+50585897$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[ ]$
8670.bb4	8670bb4	8670.bb	8670bb	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.106	2B	$136$	$48$	$0$	$1$	$1$		$0$	$221184$	$2.217140$	$21464092074671/109596256200$	$1.00093$	$5.48697$	$[1, 0, 0, 167325, -73671543]$	$y^2+xy=x^3+167325x-73671543$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 68.12.0-4.c.1.1, 136.48.0.?	$[ ]$
12240.ce4	12240cc4	12240.ce	12240cc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{15} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$1$	$1$		$1$	$147456$	$2.042988$	$21464092074671/109596256200$	$1.00093$	$5.06392$	$[0, 0, 0, 83373, -25916654]$	$y^2=x^3+83373x-25916654$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[ ]$
16320.bm4	16320ch4	16320.bm	16320ch	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.59	2B	$136$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.840254$	$21464092074671/109596256200$	$1.00093$	$4.66293$	$[0, -1, 0, 37055, 7666657]$	$y^2=x^3-x^2+37055x+7666657$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 136.48.0.?	$[ ]$
16320.cl4	16320bn4	16320.cl	16320bn	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.48	2B	$136$	$48$	$0$	$1$	$1$		$3$	$147456$	$1.840254$	$21464092074671/109596256200$	$1.00093$	$4.66293$	$[0, 1, 0, 37055, -7666657]$	$y^2=x^3+x^2+37055x-7666657$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 136.48.0.?	$[ ]$
20400.g4	20400ca4	20400.g	20400ca	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$1$	$1$		$1$	$442368$	$2.298401$	$21464092074671/109596256200$	$1.00093$	$5.11210$	$[0, -1, 0, 231592, 119907312]$	$y^2=x^3-x^2+231592x+119907312$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[ ]$
24990.cc4	24990cd3	24990.cc	24990cd	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$952$	$48$	$0$	$0.757764461$	$1$		$6$	$221184$	$1.773487$	$21464092074671/109596256200$	$1.00093$	$4.38761$	$[1, 0, 0, 28370, 5146700]$	$y^2+xy=x^3+28370x+5146700$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$	$[(-10, 2210)]$
26010.n4	26010o3	26010.n	26010o	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 17^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$1$	$1$		$0$	$1769472$	$2.766445$	$21464092074671/109596256200$	$1.00093$	$5.54241$	$[1, -1, 0, 1505925, 1989131661]$	$y^2+xy=x^3-x^2+1505925x+1989131661$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[ ]$
43350.e4	43350n3	43350.e	43350n	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$12.16409530$	$1$		$0$	$5308416$	$3.021858$	$21464092074671/109596256200$	$1.00093$	$5.56430$	$[1, 1, 0, 4183125, -9208942875]$	$y^2+xy=x^3+x^2+4183125x-9208942875$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[(778989/23, 138515532/23)]$
48960.b4	48960bt3	48960.b	48960bt	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{21} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$1$	$1$		$1$	$1179648$	$2.389561$	$21464092074671/109596256200$	$1.00093$	$4.79896$	$[0, 0, 0, 333492, 207333232]$	$y^2=x^3+333492x+207333232$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$	$[ ]$
48960.de4	48960el3	48960.de	48960el	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{21} \cdot 3^{14} \cdot 5^{2} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$4.163480497$	$1$		$3$	$1179648$	$2.389561$	$21464092074671/109596256200$	$1.00093$	$4.79896$	$[0, 0, 0, 333492, -207333232]$	$y^2=x^3+333492x-207333232$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[(43762, 9155520)]$
61200.g4	61200gd3	61200.g	61200gd	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{15} \cdot 3^{14} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2040$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.847706$	$21464092074671/109596256200$	$1.00093$	$5.20061$	$[0, 0, 0, 2084325, -3239581750]$	$y^2=x^3+2084325x-3239581750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[ ]$
61710.i4	61710c3	61710.i	61710c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$1496$	$48$	$0$	$1$	$1$		$0$	$983040$	$1.999481$	$21464092074671/109596256200$	$1.00093$	$4.27389$	$[1, 1, 0, 70057, 19991613]$	$y^2+xy=x^3+x^2+70057x+19991613$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[ ]$
69360.be4	69360cy3	69360.be	69360cy	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.106	2B	$136$	$48$	$0$	$4.983363576$	$1$		$3$	$5308416$	$2.910286$	$21464092074671/109596256200$	$1.00093$	$5.20958$	$[0, -1, 0, 2677200, 4714978752]$	$y^2=x^3-x^2+2677200x+4714978752$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 68.12.0-4.c.1.2, 136.48.0.?	$[(-438, 58806)]$
74970.y4	74970bd3	74970.y	74970bd	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 7^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2856$	$48$	$0$	$1$	$1$		$0$	$1769472$	$2.322796$	$21464092074671/109596256200$	$1.00093$	$4.54542$	$[1, -1, 0, 255330, -138960900]$	$y^2+xy=x^3-x^2+255330x-138960900$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 84.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
81600.ew4	81600o3	81600.ew	81600o	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{21} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$21.81424256$	$1$		$1$	$3538944$	$2.644974$	$21464092074671/109596256200$	$1.00093$	$4.85321$	$[0, -1, 0, 926367, -960184863]$	$y^2=x^3-x^2+926367x-960184863$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[(26630535432/527, 4345995019445163/527)]$
81600.ff4	81600ii3	81600.ff	81600ii	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{21} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$1.247902979$	$1$		$9$	$3538944$	$2.644974$	$21464092074671/109596256200$	$1.00093$	$4.85321$	$[0, 1, 0, 926367, 960184863]$	$y^2=x^3+x^2+926367x+960184863$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$	$[(663, 43200)]$
86190.t4	86190r3	86190.t	86190r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 13^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$1768$	$48$	$0$	$5.069599848$	$1$		$2$	$1769472$	$2.083008$	$21464092074671/109596256200$	$1.00093$	$4.23644$	$[1, 1, 0, 97848, -32909976]$	$y^2+xy=x^3+x^2+97848x-32909976$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[(1215, 42768)]$
124950.h4	124950bd3	124950.h	124950bd	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$4760$	$48$	$0$	$3.649720518$	$1$		$4$	$5308416$	$2.578205$	$21464092074671/109596256200$	$1.00093$	$4.60873$	$[1, 1, 0, 709250, 643337500]$	$y^2+xy=x^3+x^2+709250x+643337500$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 136.24.0.?, 140.12.0.?, $\ldots$	$[(-295, 20360)]$
130050.dw4	130050y4	130050.dw	130050y	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{14} \cdot 5^{8} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2040$	$48$	$0$	$6.948207690$	$1$		$2$	$42467328$	$3.571163$	$21464092074671/109596256200$	$1.00093$	$5.60495$	$[1, -1, 1, 37648120, 248679105747]$	$y^2+xy+y=x^3-x^2+37648120x+248679105747$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 120.24.0.?, 136.24.0.?, $\ldots$	$[(218879, 102333285)]$
184110.p4	184110be4	184110.p	184110be	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} \cdot 19^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2584$	$48$	$0$	$0.852771338$	$1$		$20$	$5308416$	$2.272751$	$21464092074671/109596256200$	$1.00093$	$4.15903$	$[1, 0, 1, 209011, 102889136]$	$y^2+xy+y=x^3+209011x+102889136$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 136.24.0.?, $\ldots$	$[(-84, 9247), (18, 10318)]$
185130.fr4	185130w3	185130.fr	185130w	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 11^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$4488$	$48$	$0$	$1$	$1$		$0$	$7864320$	$2.548786$	$21464092074671/109596256200$	$1.00093$	$4.43024$	$[1, -1, 1, 630508, -539143041]$	$y^2+xy+y=x^3-x^2+630508x-539143041$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 132.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
199920.dt4	199920cw3	199920.dt	199920cw	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$952$	$48$	$0$	$1$	$4$	$2$	$1$	$5308416$	$2.466637$	$21464092074671/109596256200$	$1.00093$	$4.32157$	$[0, -1, 0, 453920, -329388800]$	$y^2=x^3-x^2+453920x-329388800$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$	$[ ]$
208080.m4	208080br3	208080.m	208080br	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{15} \cdot 3^{14} \cdot 5^{2} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$408$	$48$	$0$	$5.817167495$	$1$		$1$	$42467328$	$3.459595$	$21464092074671/109596256200$	$1.00093$	$5.28049$	$[0, 0, 0, 24094797, -127328521102]$	$y^2=x^3+24094797x-127328521102$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[(869737/7, 832611312/7)]$
244800.bu4	244800bu3	244800.bu	244800bu	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{21} \cdot 3^{14} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2040$	$48$	$0$	$1$	$1$		$1$	$28311552$	$3.194279$	$21464092074671/109596256200$	$1.00093$	$4.95474$	$[0, 0, 0, 8337300, -25916654000]$	$y^2=x^3+8337300x-25916654000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[ ]$
244800.rl4	244800rl4	244800.rl	244800rl	$4$	$4$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{21} \cdot 3^{14} \cdot 5^{8} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$2040$	$48$	$0$	$3.897415426$	$1$		$3$	$28311552$	$3.194279$	$21464092074671/109596256200$	$1.00093$	$4.95474$	$[0, 0, 0, 8337300, 25916654000]$	$y^2=x^3+8337300x+25916654000$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(2054, 227392)]$
258570.ec4	258570ec4	258570.ec	258570ec	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 13^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$5304$	$48$	$0$	$4.723392033$	$1$		$2$	$14155776$	$2.632313$	$21464092074671/109596256200$	$1.00093$	$4.39190$	$[1, -1, 1, 880627, 889449981]$	$y^2+xy+y=x^3-x^2+880627x+889449981$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 136.24.0.?, 156.12.0.?, $\ldots$	$[(1401, 69096)]$
269790.bs4	269790bs4	269790.bs	269790bs	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$3128$	$48$	$0$	$1$	$4$	$2$	$0$	$9461760$	$2.368279$	$21464092074671/109596256200$	$1.00093$	$4.12362$	$[1, 1, 1, 306280, 182609057]$	$y^2+xy+y=x^3+x^2+306280x+182609057$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 92.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
277440.cd4	277440cd3	277440.cd	277440cd	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.118	2B	$136$	$48$	$0$	$2.653967541$	$4$	$2$	$3$	$42467328$	$3.256859$	$21464092074671/109596256200$	$1.00093$	$4.96518$	$[0, -1, 0, 10708799, -37730538815]$	$y^2=x^3-x^2+10708799x-37730538815$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 68.12.0-4.c.1.2, 136.48.0.?	$[(27121, 4494528)]$
277440.fc4	277440fc4	277440.fc	277440fc	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.118	2B	$136$	$48$	$0$	$3.478083608$	$1$		$3$	$42467328$	$3.256859$	$21464092074671/109596256200$	$1.00093$	$4.96518$	$[0, 1, 0, 10708799, 37730538815]$	$y^2=x^3+x^2+10708799x+37730538815$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 68.12.0-4.c.1.1, 136.48.0.?	$[(19697, 2809080)]$
308550.hy4	308550hy4	308550.hy	308550hy	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$7480$	$48$	$0$	$0.680368039$	$1$		$8$	$23592960$	$2.804199$	$21464092074671/109596256200$	$1.00093$	$4.49368$	$[1, 0, 0, 1751412, 2495448792]$	$y^2+xy=x^3+1751412x+2495448792$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 136.24.0.?, 220.12.0.?, $\ldots$	$[(318, 55380)]$
346800.lh4	346800lh4	346800.lh	346800lh	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$680$	$48$	$0$	$4.830701166$	$1$		$3$	$127401984$	$3.715004$	$21464092074671/109596256200$	$1.00093$	$5.30931$	$[0, 1, 0, 66929992, 589506203988]$	$y^2=x^3+x^2+66929992x+589506203988$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[(556438, 415119600)]$
374850.on4	374850on3	374850.on	374850on	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{8} \cdot 7^{6} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$14280$	$48$	$0$	$1$	$4$	$2$	$0$	$42467328$	$3.127514$	$21464092074671/109596256200$	$1.00093$	$4.72783$	$[1, -1, 1, 6383245, -17363729253]$	$y^2+xy+y=x^3-x^2+6383245x-17363729253$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 136.24.0.?, 420.12.0.?, $\ldots$	$[ ]$
424830.ff4	424830ff4	424830.ff	424830ff	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$952$	$48$	$0$	$7.611867693$	$1$		$0$	$63700992$	$3.190094$	$21464092074671/109596256200$	$1.00093$	$4.74011$	$[1, 1, 1, 8198924, 25277538173]$	$y^2+xy+y=x^3+x^2+8198924x+25277538173$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 56.24.0-8.d.1.3, 136.24.0.?, $\ldots$	$[(-6877/2, 631869/2)]$
428910.w4	428910w3	428910.w	428910w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$3944$	$48$	$0$	$1$	$1$		$0$	$19267584$	$2.484180$	$21464092074671/109596256200$	$1.00093$	$4.08345$	$[1, 0, 1, 486921, -365747198]$	$y^2+xy+y=x^3+486921x-365747198$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 116.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
430950.gv4	430950gv3	430950.gv	430950gv	$4$	$4$	$ 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 13^{6} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$8840$	$48$	$0$	$5.176888190$	$1$		$2$	$42467328$	$2.887726$	$21464092074671/109596256200$	$1.00093$	$4.45521$	$[1, 0, 0, 2446187, -4118639383]$	$y^2+xy=x^3+2446187x-4118639383$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 136.24.0.?, 260.12.0.?, $\ldots$	$[(31916, 5692355)]$
490110.ck4	490110ck4	490110.ck	490110ck	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 17^{4} \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$4216$	$48$	$0$	$1$	$1$		$0$	$23224320$	$2.517525$	$21464092074671/109596256200$	$1.00093$	$4.07242$	$[1, 0, 0, 556399, 446853681]$	$y^2+xy=x^3+556399x+446853681$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 124.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
493680.dx4	493680dx3	493680.dx	493680dx	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \cdot 17^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.16	2B	$1496$	$48$	$0$	$1.613961387$	$1$		$25$	$23592960$	$2.692627$	$21464092074671/109596256200$	$1.00093$	$4.23045$	$[0, 1, 0, 1120904, -1277221420]$	$y^2=x^3+x^2+1120904x-1277221420$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(1622, 69360), (854, 17424)]$

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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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