Elliptic curves over $\Q$ of conductor 6762

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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Results (1-50 of 71 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
6762.a1	6762j1	6762.a	6762j	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{3} \cdot 3 \cdot 7^{2} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.346545263$	$1$		$4$	$4032$	$0.315368$	$633631943/6716184$	$[1, 1, 0, 66, 876]$	\(y^2+xy=x^3+x^2+66x+876\)
6762.b1	6762a1	6762.b	6762a	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.316019079$	$1$		$6$	$8064$	$0.751305$	$-3451273/9936$	$[1, 1, 0, -564, 12384]$	\(y^2+xy=x^3+x^2-564x+12384\)
6762.c1	6762h1	6762.c	6762h	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{6} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.964146714$	$1$		$7$	$10752$	$0.846735$	$3188856056959/274710528$	$[1, 1, 0, -2146, 34420]$	\(y^2+xy=x^3+x^2-2146x+34420\)
6762.c2	6762h2	6762.c	6762h	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{7} \cdot 3^{12} \cdot 7^{3} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.928293429$	$1$		$4$	$21504$	$1.193308$	$4096768048001/35984932992$	$[1, 1, 0, 2334, 164340]$	\(y^2+xy=x^3+x^2+2334x+164340\)
6762.d1	6762g1	6762.d	6762g	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 7^{9} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.628831392$	$1$		$9$	$53760$	$1.899929$	$1311889499494111/438012$	$[1, 1, 0, -782261, 265976985]$	\(y^2+xy=x^3+x^2-782261x+265976985\)
6762.d2	6762g2	6762.d	6762g	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2 \cdot 3^{4} \cdot 7^{9} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.257662784$	$1$		$4$	$107520$	$2.246502$	$-1294708239486271/23981814018$	$[1, 1, 0, -778831, 268429435]$	\(y^2+xy=x^3+x^2-778831x+268429435\)
6762.e1	6762c1	6762.e	6762c	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{9} \cdot 7^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$2160$	$0.381451$	$-1967079625/14486688$	$[1, 1, 0, -95, -1371]$	\(y^2+xy=x^3+x^2-95x-1371\)
6762.e2	6762c2	6762.e	6762c	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{15} \cdot 3^{3} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1$	$1$		$0$	$6480$	$0.930758$	$1383521234375/10764582912$	$[1, 1, 0, 850, 33972]$	\(y^2+xy=x^3+x^2+850x+33972\)
6762.f1	6762e2	6762.f	6762e	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{3} \cdot 3^{2} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1.581952620$	$1$		$6$	$18432$	$1.296801$	$5182207647625/91449288$	$[1, 1, 0, -17665, -897203]$	\(y^2+xy=x^3+x^2-17665x-897203\)
6762.f2	6762e1	6762.f	6762e	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$3.163905240$	$1$		$5$	$9216$	$0.950228$	$-15625/5842368$	$[1, 1, 0, -25, -39899]$	\(y^2+xy=x^3+x^2-25x-39899\)
6762.g1	6762b4	6762.g	6762b	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1$	$1$		$0$	$34560$	$1.668964$	$50591419971625/28422890688$	$[1, 1, 0, -37755, -498147]$	\(y^2+xy=x^3+x^2-37755x-498147\)
6762.g2	6762b2	6762.g	6762b	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{3} \cdot 7^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1$	$1$		$0$	$11520$	$1.119659$	$21081759765625/57132$	$[1, 1, 0, -28200, -1834524]$	\(y^2+xy=x^3+x^2-28200x-1834524\)
6762.g3	6762b1	6762.g	6762b	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$5760$	$0.773086$	$-4956477625/268272$	$[1, 1, 0, -1740, -29952]$	\(y^2+xy=x^3+x^2-1740x-29952\)
6762.g4	6762b3	6762.g	6762b	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1$	$1$		$1$	$17280$	$1.322392$	$752329532375/448524288$	$[1, 1, 0, 9285, -55971]$	\(y^2+xy=x^3+x^2+9285x-55971\)
6762.h1	6762f4	6762.h	6762f	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{15} \cdot 3^{2} \cdot 7^{18} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$6.993325357$	$1$		$0$	$1382400$	$3.333317$	$385693937170561837203625/2159357734550274048$	$[1, 1, 0, -74308035, 245321703117]$	\(y^2+xy=x^3+x^2-74308035x+245321703117\)
6762.h2	6762f2	6762.h	6762f	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{5} \cdot 3^{6} \cdot 7^{10} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$2.331108452$	$1$		$2$	$460800$	$2.784012$	$155355156733986861625/8291568305839392$	$[1, 1, 0, -5487780, -4716747216]$	\(y^2+xy=x^3+x^2-5487780x-4716747216\)
6762.h3	6762f3	6762.h	6762f	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{30} \cdot 3^{4} \cdot 7^{12} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$13.98665071$	$1$		$1$	$691200$	$2.986744$	$-8152944444844179625/235342826399858688$	$[1, 1, 0, -2054595, 8084758221]$	\(y^2+xy=x^3+x^2-2054595x+8084758221\)
6762.h4	6762f1	6762.h	6762f	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$4.662216905$	$1$		$3$	$230400$	$2.437439$	$11079872671250375/324440155855872$	$[1, 1, 0, 227580, -294201648]$	\(y^2+xy=x^3+x^2+227580x-294201648\)
6762.i1	6762d1	6762.i	6762d	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{5} \cdot 7^{3} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$4800$	$0.702614$	$68769820673/94610592$	$[1, 1, 0, 598, -6348]$	\(y^2+xy=x^3+x^2+598x-6348\)
6762.j1	6762i1	6762.j	6762i	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{9} \cdot 3 \cdot 7^{3} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.961150340$	$1$		$2$	$2880$	$0.081691$	$-174676879/35328$	$[1, 1, 0, -81, -363]$	\(y^2+xy=x^3+x^2-81x-363\)
6762.k1	6762u1	6762.k	6762u	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{9} \cdot 3 \cdot 7^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$20160$	$1.054646$	$-174676879/35328$	$[1, 0, 1, -3995, 112550]$	\(y^2+xy+y=x^3-3995x+112550\)
6762.l1	6762q1	6762.l	6762q	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{11} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.615724427$	$1$		$4$	$74880$	$1.912357$	$-14943832855786297/85501108224$	$[1, 0, 1, -251445, 48748480]$	\(y^2+xy+y=x^3-251445x+48748480\)
6762.m1	6762t2	6762.m	6762t	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$405504$	$2.722439$	$1733490909744055732873/99355964553216$	$[1, 0, 1, -12262962, -16528997180]$	\(y^2+xy+y=x^3-12262962x-16528997180\)
6762.m2	6762t1	6762.m	6762t	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{22} \cdot 3^{8} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$202752$	$2.375862$	$-354499561600764553/101902222098432$	$[1, 0, 1, -722482, -289233724]$	\(y^2+xy+y=x^3-722482x-289233724\)
6762.n1	6762m1	6762.n	6762m	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{5} \cdot 7^{9} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.167824021$	$1$		$4$	$33600$	$1.675568$	$68769820673/94610592$	$[1, 0, 1, 29276, 2265218]$	\(y^2+xy+y=x^3+29276x+2265218\)
6762.o1	6762k1	6762.o	6762k	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{9} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1$	$1$		$2$	$15120$	$1.354406$	$-1967079625/14486688$	$[1, 0, 1, -4681, 456236]$	\(y^2+xy+y=x^3-4681x+456236\)
6762.o2	6762k2	6762.o	6762k	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1$	$1$		$0$	$45360$	$1.903713$	$1383521234375/10764582912$	$[1, 0, 1, 41624, -11527498]$	\(y^2+xy+y=x^3+41624x-11527498\)
6762.p1	6762s1	6762.p	6762s	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{6} \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$75264$	$1.819691$	$3188856056959/274710528$	$[1, 0, 1, -105180, -12121574]$	\(y^2+xy+y=x^3-105180x-12121574\)
6762.p2	6762s2	6762.p	6762s	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{7} \cdot 3^{12} \cdot 7^{9} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$150528$	$2.166264$	$4096768048001/35984932992$	$[1, 0, 1, 114340, -56025574]$	\(y^2+xy+y=x^3+114340x-56025574\)
6762.q1	6762o2	6762.q	6762o	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3 \cdot 7^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5.208228847$	$1$		$2$	$5760$	$0.568403$	$3463512697/3174$	$[1, 0, 1, -1545, -23474]$	\(y^2+xy+y=x^3-1545x-23474\)
6762.q2	6762o1	6762.q	6762o	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{2} \cdot 7^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2.604114423$	$1$		$5$	$2880$	$0.221830$	$-389017/828$	$[1, 0, 1, -75, -542]$	\(y^2+xy+y=x^3-75x-542\)
6762.r1	6762n2	6762.r	6762n	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{5} \cdot 3^{8} \cdot 7^{12} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2.094088991$	$1$		$4$	$92160$	$1.955292$	$4144806984356137/568114785504$	$[1, 0, 1, -163980, -22341014]$	\(y^2+xy+y=x^3-163980x-22341014\)
6762.r2	6762n1	6762.r	6762n	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 7^{9} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.047044495$	$1$		$7$	$46080$	$1.608717$	$4101378352343/15049939968$	$[1, 0, 1, 16340, -1856662]$	\(y^2+xy+y=x^3+16340x-1856662\)
6762.s1	6762r1	6762.s	6762r	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 7^{3} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$7680$	$0.926973$	$1311889499494111/438012$	$[1, 0, 1, -15965, -777724]$	\(y^2+xy+y=x^3-15965x-777724\)
6762.s2	6762r2	6762.s	6762r	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2 \cdot 3^{4} \cdot 7^{3} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$0$	$15360$	$1.273548$	$-1294708239486271/23981814018$	$[1, 0, 1, -15895, -784864]$	\(y^2+xy+y=x^3-15895x-784864\)
6762.t1	6762l1	6762.t	6762l	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{3} \cdot 3 \cdot 7^{8} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.262690023$	$1$		$2$	$28224$	$1.288322$	$633631943/6716184$	$[1, 0, 1, 3208, -290818]$	\(y^2+xy+y=x^3+3208x-290818\)
6762.u1	6762p1	6762.u	6762p	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.594908560$	$1$		$4$	$1152$	$-0.221650$	$-3451273/9936$	$[1, 0, 1, -12, -38]$	\(y^2+xy+y=x^3-12x-38\)
6762.v1	6762v2	6762.v	6762v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{2} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1$	$1$		$0$	$18432$	$1.075994$	$42180533641/22862322$	$[1, 0, 1, -3554, 20234]$	\(y^2+xy+y=x^3-3554x+20234\)
6762.v2	6762v1	6762.v	6762v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1$	$1$		$1$	$9216$	$0.729422$	$590589719/365148$	$[1, 0, 1, 856, 2594]$	\(y^2+xy+y=x^3+856x+2594\)
6762.w1	6762be1	6762.w	6762be	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2 \cdot 3^{3} \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$17136$	$0.894197$	$-49/1242$	$[1, 1, 1, -50, -28519]$	\(y^2+xy+y=x^3+x^2-50x-28519\)
6762.x1	6762w1	6762.x	6762w	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2 \cdot 3^{7} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$6048$	$0.553266$	$-352263793/2313846$	$[1, 1, 1, -197, -3823]$	\(y^2+xy+y=x^3+x^2-197x-3823\)
6762.y1	6762bd1	6762.y	6762bd	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{9} \cdot 3 \cdot 7^{17} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$190080$	$2.317085$	$83228502970940543/69854999176704$	$[1, 1, 1, 445703, -76671673]$	\(y^2+xy+y=x^3+x^2+445703x-76671673\)
6762.z1	6762ba2	6762.z	6762ba	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{3} \cdot 3^{4} \cdot 7^{9} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$4$	$2$	$0$	$32256$	$1.669945$	$104453838382375/14904$	$[1, 1, 1, -336533, -75283405]$	\(y^2+xy+y=x^3+x^2-336533x-75283405\)
6762.z2	6762ba1	6762.z	6762ba	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{2} \cdot 7^{9} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$16128$	$1.323372$	$-25282750375/304704$	$[1, 1, 1, -20973, -1189917]$	\(y^2+xy+y=x^3+x^2-20973x-1189917\)
6762.ba1	6762z1	6762.ba	6762z	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{3} \cdot 3 \cdot 7^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$1008$	$-0.281160$	$-179706625/552$	$[1, 1, 1, -43, -127]$	\(y^2+xy+y=x^3+x^2-43x-127\)
6762.bb1	6762x1	6762.bb	6762x	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.164298635$	$1$		$8$	$26208$	$1.525490$	$-2689684081/117006336$	$[1, 1, 1, -5195, 1255673]$	\(y^2+xy+y=x^3+x^2-5195x+1255673\)
6762.bc1	6762bb4	6762.bc	6762bb	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{6} \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1$	$4$	$2$	$0$	$184320$	$2.349945$	$632678989847546725777/80515134$	$[1, 1, 1, -8763602, 9981900641]$	\(y^2+xy+y=x^3+x^2-8763602x+9981900641\)
6762.bc2	6762bb3	6762.bc	6762bb	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2 \cdot 3^{24} \cdot 7^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1$	$16$	$2$	$0$	$184320$	$2.349945$	$231331938231569617/90942310746882$	$[1, 1, 1, -626662, 107865953]$	\(y^2+xy+y=x^3+x^2-626662x+107865953\)
6762.bc3	6762bb2	6762.bc	6762bb	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{12} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1$	$4$	$2$	$2$	$92160$	$2.003368$	$154502321244119857/55101928644$	$[1, 1, 1, -547772, 155767961]$	\(y^2+xy+y=x^3+x^2-547772x+155767961\)
6762.bc4	6762bb1	6762.bc	6762bb	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 23^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1$	$1$		$3$	$46080$	$1.656796$	$-23771111713777/22848457968$	$[1, 1, 1, -29352, 3145113]$	\(y^2+xy+y=x^3+x^2-29352x+3145113\)