LMFDB - Elliptic curves over $\Q$ of conductor 22386

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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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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	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
22386.a1	22386c1	22386.a	22386c	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{7} \cdot 41 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$0.562043310$	$1$		$12$	$118272$	$1.637054$	$24342833031142160809/871338958753536$	$0.94607$	$4.45666$	$[1, 1, 0, -60378, -5556204]$	$y^2+xy=x^3+x^2-60378x-5556204$	6396.2.0.?	$[(500, 9214), (-124, 270)]$
22386.b1	22386e1	22386.b	22386e	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{3} \cdot 41^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$1$	$1$		$0$	$806400$	$2.617657$	$2167214967262362728787049/144916175320321257216$	$0.98913$	$5.59449$	$[1, 1, 0, -2696038, -1603537004]$	$y^2+xy=x^3+x^2-2696038x-1603537004$	6396.2.0.?	$[]$
22386.c1	22386f1	22386.c	22386f	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{19} \cdot 3^{5} \cdot 7 \cdot 13^{2} \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6888$	$2$	$0$	$1$	$1$		$0$	$51680$	$1.143589$	$10209133395200375/6179378429952$	$0.94164$	$3.68025$	$[1, 1, 0, 4520, 26944]$	$y^2+xy=x^3+x^2+4520x+26944$	6888.2.0.?	$[]$
22386.d1	22386b1	22386.d	22386b	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{13} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$89544$	$2$	$0$	$1$	$1$		$0$	$29952$	$0.831365$	$-106503164422201/139465138176$	$0.89229$	$3.34277$	$[1, 1, 0, -987, -21987]$	$y^2+xy=x^3+x^2-987x-21987$	89544.2.0.?	$[]$
22386.e1	22386d1	22386.e	22386d	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3^{5} \cdot 7 \cdot 13 \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$89544$	$2$	$0$	$1$	$1$		$0$	$3200$	$-0.062198$	$-16022066761/1813266$	$0.79753$	$2.36376$	$[1, 1, 0, -52, -182]$	$y^2+xy=x^3+x^2-52x-182$	89544.2.0.?	$[]$
22386.f1	22386a1	22386.f	22386a	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{12} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$0.731171541$	$1$		$4$	$13056$	$0.321836$	$558051585337/320925696$	$0.90102$	$2.70040$	$[1, 1, 0, -171, -3]$	$y^2+xy=x^3+x^2-171x-3$	6396.2.0.?	$[(38, 205)]$
22386.g1	22386j1	22386.g	22386j	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \cdot 41^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6888$	$2$	$0$	$0.261574990$	$1$		$6$	$252000$	$1.774851$	$-81572642966348157961/5802482652509088$	$0.95201$	$4.58897$	$[1, 0, 1, -90353, 11069732]$	$y^2+xy+y=x^3-90353x+11069732$	6888.2.0.?	$[(168, 715)]$
22386.h1	22386g1	22386.h	22386g	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{8} \cdot 3^{13} \cdot 7^{2} \cdot 13 \cdot 41 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$0.164739184$	$1$		$26$	$86528$	$1.392803$	$6034224034719280009/10659567050496$	$0.93904$	$4.31741$	$[1, 0, 1, -37929, 2835628]$	$y^2+xy+y=x^3-37929x+2835628$	6396.2.0.?	$[(62, 819), (251, 2898)]$
22386.i1	22386k1	22386.i	22386k	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{9} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2184$	$2$	$0$	$0.443210715$	$1$		$4$	$18144$	$0.699855$	$-1745729089577929/2114671104$	$1.05038$	$3.50413$	$[1, 0, 1, -2509, 48200]$	$y^2+xy+y=x^3-2509x+48200$	2184.2.0.?	$[(22, 50)]$
22386.j1	22386h1	22386.j	22386h	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{2} \cdot 3 \cdot 7^{4} \cdot 13^{13} \cdot 41 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$9.286890569$	$1$		$0$	$988416$	$2.675922$	$3106880453184523246867609/357783940416575730876$	$0.99111$	$5.63045$	$[1, 0, 1, -3039954, -1826108840]$	$y^2+xy+y=x^3-3039954x-1826108840$	6396.2.0.?	$[(-102257/9, 610075/9)]$
22386.k1	22386n2	22386.k	22386n	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{6} \cdot 41^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$6888$	$16$	$0$	$1$	$1$		$0$	$707616$	$2.547646$	$-17614662728794756493037625/2607524922260224512$	$0.99440$	$5.80371$	$[1, 0, 1, -5420636, -4858691686]$	$y^2+xy+y=x^3-5420636x-4858691686$	3.8.0-3.a.1.1, 6888.16.0.?	$[]$
22386.k2	22386n1	22386.k	22386n	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{3} \cdot 3^{21} \cdot 7^{3} \cdot 13^{2} \cdot 41 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$6888$	$16$	$0$	$1$	$1$		$2$	$235872$	$1.998339$	$307348720697576375/198884536470802728$	$1.23057$	$4.72089$	$[1, 0, 1, 14059, -21445720]$	$y^2+xy+y=x^3+14059x-21445720$	3.8.0-3.a.1.2, 6888.16.0.?	$[]$
22386.l1	22386l1	22386.l	22386l	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 41^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2184$	$2$	$0$	$0.225244952$	$1$		$6$	$54432$	$1.312307$	$20832968985844679/49866992732466$	$0.93066$	$3.86558$	$[1, 0, 1, 5732, 296324]$	$y^2+xy+y=x^3+5732x+296324$	2184.2.0.?	$[(94, 1244)]$
22386.m1	22386i4	22386.m	22386i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{5} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$89544$	$48$	$0$	$9.271538759$	$1$		$0$	$69120$	$1.315538$	$83268941223547539433/3317067936$	$0.95084$	$4.57945$	$[1, 0, 1, -90975, -10569134]$	$y^2+xy+y=x^3-90975x-10569134$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 2132.12.0.?, $\ldots$	$[(202172/11, 88199811/11)]$
22386.m2	22386i2	22386.m	22386i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$89544$	$48$	$0$	$4.635769379$	$1$		$4$	$34560$	$0.968966$	$20421858870283753/128290046976$	$0.90918$	$3.74947$	$[1, 0, 1, -5695, -164974]$	$y^2+xy+y=x^3-5695x-164974$	2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 2132.12.0.?, $\ldots$	$[(1660, 66737)]$
22386.m3	22386i3	22386.m	22386i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{5} \cdot 3 \cdot 7 \cdot 13^{4} \cdot 41^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$89544$	$48$	$0$	$9.271538759$	$1$		$0$	$69120$	$1.315538$	$-1407074115849193/54234808266912$	$0.94911$	$3.90308$	$[1, 0, 1, -2335, -357166]$	$y^2+xy+y=x^3-2335x-357166$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$	$[(134428/9, 48662857/9)]$
22386.m4	22386i1	22386.m	22386i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{20} \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$89544$	$48$	$0$	$9.271538759$	$1$		$1$	$17280$	$0.622392$	$20972058349033/11736711168$	$0.90560$	$3.06246$	$[1, 0, 1, -575, 914]$	$y^2+xy+y=x^3-575x+914$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$	$[(10376/5, 1029486/5)]$
22386.n1	22386m4	22386.n	22386m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2 \cdot 3 \cdot 7^{4} \cdot 13^{4} \cdot 41 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$89544$	$48$	$0$	$1$	$1$		$0$	$31232$	$0.723526$	$361811696411593/16869440406$	$0.88427$	$3.34680$	$[1, 0, 1, -1485, 20986]$	$y^2+xy+y=x^3-1485x+20986$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 492.12.0.?, 728.24.0.?, $\ldots$	$[]$
22386.n2	22386m2	22386.n	22386m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$89544$	$48$	$0$	$1$	$1$		$2$	$15616$	$0.376953$	$1823449422313/501132996$	$0.84983$	$2.81861$	$[1, 0, 1, -255, -1154]$	$y^2+xy+y=x^3-255x-1154$	2.6.0.a.1, 8.12.0-2.a.1.1, 364.12.0.?, 492.12.0.?, 728.24.0.?, $\ldots$	$[]$
22386.n3	22386m1	22386.n	22386m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$89544$	$48$	$0$	$1$	$4$	$2$	$1$	$7808$	$0.030379$	$1426487591593/179088$	$0.83947$	$2.79410$	$[1, 0, 1, -235, -1402]$	$y^2+xy+y=x^3-235x-1402$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 364.12.0.?, 492.12.0.?, $\ldots$	$[]$
22386.n4	22386m3	22386.n	22386m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3^{4} \cdot 7 \cdot 13 \cdot 41^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$89544$	$48$	$0$	$1$	$1$		$0$	$31232$	$0.723526$	$31145864569847/41657368662$	$0.88526$	$3.12900$	$[1, 0, 1, 655, -7342]$	$y^2+xy+y=x^3+655x-7342$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 364.12.0.?, 728.24.0.?, $\ldots$	$[]$
22386.o1	22386s4	22386.o	22386s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$89544$	$48$	$0$	$4.237880430$	$1$		$4$	$61440$	$1.223724$	$86229623764904257/9525651634044$	$0.91957$	$3.89328$	$[1, 1, 1, -9204, 301881]$	$y^2+xy+y=x^3+x^2-9204x+301881$	2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 2296.24.0.?, 89544.48.0.?	$[(669, 16815)]$
22386.o2	22386s2	22386.o	22386s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$44772$	$48$	$0$	$2.118940215$	$1$		$8$	$30720$	$0.877151$	$1152110255377537/162367090704$	$0.89436$	$3.46243$	$[1, 1, 1, -2184, -35079]$	$y^2+xy+y=x^3+x^2-2184x-35079$	2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 1148.24.0.?, 44772.48.0.?	$[(-33, 65)]$
22386.o3	22386s1	22386.o	22386s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{8} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$89544$	$48$	$0$	$4.237880430$	$1$		$3$	$15360$	$0.530577$	$1030086793846657/25788672$	$0.89041$	$3.45125$	$[1, 1, 1, -2104, -38023]$	$y^2+xy+y=x^3+x^2-2104x-38023$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$	$[(169, 2029)]$
22386.o4	22386s3	22386.o	22386s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{2} \cdot 3^{12} \cdot 7 \cdot 13^{4} \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$89544$	$48$	$0$	$4.237880430$	$1$		$2$	$61440$	$1.223724$	$4972803928432703/17424902388348$	$0.92669$	$3.77021$	$[1, 1, 1, 3556, -182023]$	$y^2+xy+y=x^3+x^2+3556x-182023$	2.3.0.a.1, 4.12.0-4.c.1.2, 312.24.0.?, 574.6.0.?, 1148.24.0.?, $\ldots$	$[(49, 311)]$
22386.p1	22386p1	22386.p	22386p	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3 \cdot 7 \cdot 13^{10} \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6888$	$2$	$0$	$1$	$1$		$0$	$116960$	$1.447840$	$408411137424575375/237392322963978$	$0.98682$	$4.04855$	$[1, 1, 1, 15457, 55583]$	$y^2+xy+y=x^3+x^2+15457x+55583$	6888.2.0.?	$[]$
22386.q1	22386o1	22386.q	22386o	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{5} \cdot 3 \cdot 7^{5} \cdot 13 \cdot 41^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$2184$	$2$	$0$	$0.789820823$	$1$		$4$	$18400$	$0.704510$	$2427173723519/35259203616$	$0.89734$	$3.16488$	$[1, 1, 1, 280, 8969]$	$y^2+xy+y=x^3+x^2+280x+8969$	2184.2.0.?	$[(-7, 85)]$
22386.r1	22386q1	22386.r	22386q	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$0.694276876$	$1$		$2$	$9984$	$0.269303$	$496981290961/138211164$	$0.97426$	$2.68883$	$[1, 1, 1, -165, -657]$	$y^2+xy+y=x^3+x^2-165x-657$	6396.2.0.?	$[(-9, 18)]$
22386.s1	22386r2	22386.s	22386r	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2 \cdot 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 41^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.6	2B	$2296$	$12$	$0$	$1$	$1$		$0$	$70656$	$1.165783$	$447151332019614769/601610161698$	$0.96139$	$4.05760$	$[1, 1, 1, -15931, -779689]$	$y^2+xy+y=x^3+x^2-15931x-779689$	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[]$
22386.s2	22386r1	22386.s	22386r	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{2} \cdot 3^{4} \cdot 7^{3} \cdot 13^{4} \cdot 41 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.1	2B	$2296$	$12$	$0$	$1$	$1$		$1$	$35328$	$0.819210$	$-41454067728529/130135683132$	$0.93654$	$3.31621$	$[1, 1, 1, -721, -19189]$	$y^2+xy+y=x^3+x^2-721x-19189$	2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.?	$[]$
22386.t1	22386t1	22386.t	22386t	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{16} \cdot 3^{3} \cdot 7^{14} \cdot 13^{5} \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$1$	$1$		$0$	$9569280$	$3.584427$	$187536845211756879082380654673/18269088231048308260798464$	$1.01982$	$6.72948$	$[1, 0, 0, -119248877, -457102142511]$	$y^2+xy=x^3-119248877x-457102142511$	6396.2.0.?	$[]$
22386.u1	22386bc2	22386.u	22386bc	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{6} \cdot 3^{3} \cdot 7^{12} \cdot 13 \cdot 41^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$6396$	$16$	$0$	$0.435839725$	$1$		$6$	$1306368$	$2.713951$	$120986373702456846135875233/21429653098766238144$	$0.99989$	$5.99606$	$[1, 0, 0, -10303962, -12729674844]$	$y^2+xy=x^3-10303962x-12729674844$	3.8.0-3.a.1.1, 6396.16.0.?	$[(-1866, -96)]$
22386.u2	22386bc1	22386.u	22386bc	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{18} \cdot 3^{9} \cdot 7^{4} \cdot 13^{3} \cdot 41 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$6396$	$16$	$0$	$0.145279908$	$1$		$28$	$435456$	$2.164642$	$3215014175651328584353/1115930860975816704$	$0.97433$	$4.94421$	$[1, 0, 0, -307482, 41491044]$	$y^2+xy=x^3-307482x+41491044$	3.8.0-3.a.1.2, 6396.16.0.?	$[(84, 3990)]$
22386.v1	22386bb2	22386.v	22386bb	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{13} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 41^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$2184$	$16$	$0$	$3.486235945$	$1$		$2$	$9401184$	$3.738327$	$-2224778660867235879101476628566993/16157901081011429376$	$1.03758$	$7.66608$	$[1, 0, 0, -2719700197, -54592309294591]$	$y^2+xy=x^3-2719700197x-54592309294591$	3.8.0-3.a.1.1, 2184.16.0.?	$[(91490, 21457607)]$
22386.v2	22386bb1	22386.v	22386bb	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{39} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 41^{2} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$2184$	$16$	$0$	$1.162078648$	$1$		$12$	$3133728$	$3.189022$	$-4128223528775369483123266513/81108488685750967074816$	$1.00950$	$6.35182$	$[1, 0, 0, -33420517, -75619489279]$	$y^2+xy=x^3-33420517x-75619489279$	3.8.0-3.a.1.2, 2184.16.0.?	$[(7010, 182471)]$
22386.w1	22386v2	22386.w	22386v	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{8} \cdot 3 \cdot 7^{6} \cdot 13^{3} \cdot 41^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$44772$	$12$	$0$	$0.970784549$	$1$		$4$	$552960$	$2.418934$	$80584461459025151375298097/333693103021824$	$0.99876$	$5.95549$	$[1, 0, 0, -8998619, 10389163089]$	$y^2+xy=x^3-8998619x+10389163089$	2.3.0.a.1, 156.6.0.?, 1148.6.0.?, 44772.12.0.?	$[(1734, -711)]$
22386.w2	22386v1	22386.w	22386v	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{16} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6} \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$44772$	$12$	$0$	$0.485392274$	$1$		$11$	$276480$	$2.072361$	$-19645130164017251655217/40036908053495808$	$0.97236$	$5.12526$	$[1, 0, 0, -562139, 162462033]$	$y^2+xy=x^3-562139x+162462033$	2.3.0.a.1, 156.6.0.?, 574.6.0.?, 44772.12.0.?	$[(382, 1681)]$
22386.x1	22386z4	22386.x	22386z	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{7} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$12792$	$48$	$0$	$2.313277631$	$1$		$2$	$258048$	$1.935724$	$285311789321435384726737/594905980032$	$0.98156$	$5.39206$	$[1, 0, 0, -1371509, -618338655]$	$y^2+xy=x^3-1371509x-618338655$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 164.12.0.?, 312.24.0.?, $\ldots$	$[(2746, 126391)]$
22386.x2	22386z3	22386.x	22386z	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{7} \cdot 3 \cdot 7^{8} \cdot 13 \cdot 41^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$12792$	$48$	$0$	$0.578319407$	$1$		$4$	$258048$	$1.935724$	$150062694782364873937/81319429594096512$	$0.98109$	$4.63825$	$[1, 0, 0, -110709, -3584607]$	$y^2+xy=x^3-110709x-3584607$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 156.12.0.?, 312.24.0.?, $\ldots$	$[(-298, 1871)]$
22386.x3	22386z2	22386.x	22386z	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{14} \cdot 3^{2} \cdot 7^{4} \cdot 13^{2} \cdot 41^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$12792$	$48$	$0$	$1.156638815$	$1$		$10$	$129024$	$1.589151$	$69728644177980628177/100579396829184$	$0.95010$	$4.56173$	$[1, 0, 0, -85749, -9659871]$	$y^2+xy=x^3-85749x-9659871$	2.6.0.a.1, 8.12.0-2.a.1.1, 156.12.0.?, 164.12.0.?, 312.24.0.?, $\ldots$	$[(-166, -1)]$
22386.x4	22386z1	22386.x	22386z	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{28} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$12792$	$48$	$0$	$2.313277631$	$1$		$3$	$64512$	$1.242579$	$-6208503067778257/21032186413056$	$0.92750$	$3.82276$	$[1, 0, 0, -3829, -239071]$	$y^2+xy=x^3-3829x-239071$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 164.12.0.?, $\ldots$	$[(658, 16471)]$
22386.y1	22386w1	22386.y	22386w	$2$	$7$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 $	$0$	$\Z/7\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$7$	7.48.0.1	7B.1.1	$89544$	$96$	$2$	$1$	$1$		$6$	$131712$	$1.682590$	$-418288977642645996769/122877464621184$	$0.95761$	$4.74065$	$[1, 0, 0, -155806, 23664452]$	$y^2+xy=x^3-155806x+23664452$	7.48.0-7.a.1.2, 89544.96.2.?	$[]$
22386.y2	22386w2	22386.y	22386w	$2$	$7$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3 \cdot 7 \cdot 13^{7} \cdot 41^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$7$	7.48.0.5	7B.1.3	$89544$	$96$	$2$	$1$	$49$	$7$	$0$	$921984$	$2.655544$	$71473535169369644529791/513262758348672548034$	$1.00101$	$5.49690$	$[1, 0, 0, 864584, -1045089598]$	$y^2+xy=x^3+864584x-1045089598$	7.48.0-7.a.2.2, 89544.96.2.?	$[]$
22386.z1	22386u1	22386.z	22386u	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2 \cdot 3 \cdot 7^{3} \cdot 13^{2} \cdot 41 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6888$	$2$	$0$	$1$	$1$		$0$	$8928$	$0.378021$	$-81436110288625/14259882$	$0.87258$	$3.19794$	$[1, 0, 0, -903, 10371]$	$y^2+xy=x^3-903x+10371$	6888.2.0.?	$[]$
22386.ba1	22386ba4	22386.ba	22386ba	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2 \cdot 3 \cdot 7^{2} \cdot 13^{3} \cdot 41^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$89544$	$96$	$1$	$10.72335927$	$1$		$0$	$124416$	$1.700817$	$24191354664255948625/3068177831138238$	$0.94789$	$4.45604$	$[1, 0, 0, -60253, -5035357]$	$y^2+xy=x^3-60253x-5035357$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 312.48.0.?, 1148.6.0.?, $\ldots$	$[(31591/10, 2577481/10)]$
22386.ba2	22386ba2	22386.ba	22386ba	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 13 \cdot 41^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$89544$	$96$	$1$	$3.574453091$	$1$		$6$	$41472$	$1.151510$	$350082141630936625/555332456952$	$0.92486$	$4.03316$	$[1, 0, 0, -14683, 682649]$	$y^2+xy=x^3-14683x+682649$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 312.48.0.?, 1148.6.0.?, $\ldots$	$[(140, 1103)]$
22386.ba3	22386ba1	22386.ba	22386ba	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 13^{2} \cdot 41 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$89544$	$96$	$1$	$1.787226545$	$1$		$13$	$20736$	$0.804936$	$-29403487464625/110884842432$	$0.89587$	$3.29758$	$[1, 0, 0, -643, 17153]$	$y^2+xy=x^3-643x+17153$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 312.48.0.?, 574.6.0.?, $\ldots$	$[(16, 97)]$
22386.ba4	22386ba3	22386.ba	22386ba	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ - 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{6} \cdot 41^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$89544$	$96$	$1$	$5.361679637$	$1$		$3$	$62208$	$1.354242$	$20020616659055375/83832462778428$	$0.93612$	$3.93022$	$[1, 0, 0, 5657, -408475]$	$y^2+xy=x^3+5657x-408475$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 312.48.0.?, 574.6.0.?, $\ldots$	$[(250, 3955)]$
22386.bb1	22386y1	22386.bb	22386y	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 41 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$6396$	$2$	$0$	$0.121797805$	$1$		$8$	$16128$	$0.684265$	$2337862343841361/913886064$	$0.89577$	$3.53308$	$[1, 0, 0, -2765, 55713]$	$y^2+xy=x^3-2765x+55713$	6396.2.0.?	$[(28, 7)]$
22386.bc1	22386x4	22386.bc	22386x	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 $	$ 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$29848$	$48$	$0$	$1$	$4$	$2$	$0$	$344064$	$2.040569$	$5529895044677685547285393/1658533968$	$0.99094$	$5.68801$	$[1, 0, 0, -3684097, -2722034887]$	$y^2+xy=x^3-3684097x-2722034887$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, 164.12.0.?, $\ldots$	$[]$

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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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