Elliptic curves over $\Q$ of conductor 45738

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 130 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
45738.a1	45738e1	45738.a	45738e	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{3} \cdot 7 \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1848$	$2$	$0$	$1.796017471$	$1$		$0$	$332640$	$1.487679$	$-2610969633/14$	$1.08393$	$4.33895$	$1$	$[1, -1, 0, -114549, 14951019]$	\(y^2+xy=x^3-x^2-114549x+14951019\)	1848.2.0.?	$[(727/2, 1935/2)]$	$1$
45738.b1	45738bc1	45738.b	45738bc	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7^{5} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1848$	$2$	$0$	$0.550615807$	$1$		$4$	$648000$	$1.904428$	$-1740992427/1479016$	$1.10400$	$4.32927$	$1$	$[1, -1, 0, -81879, 14187509]$	\(y^2+xy=x^3-x^2-81879x+14187509\)	1848.2.0.?	$[(245, 2842)]$	$1$
45738.c1	45738bn2	45738.c	45738bn	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 7^{6} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$3.245917464$	$1$		$0$	$311040$	$1.686029$	$-1496031771/10353112$	$0.93708$	$4.06016$	$1$	$[1, -1, 0, -17991, -3339099]$	\(y^2+xy=x^3-x^2-17991x-3339099\)	3.4.0.a.1, 24.8.0-3.a.1.7, 33.8.0-3.a.1.2, 264.16.0.?	$[(4819/2, 327205/2)]$	$1$
45738.c2	45738bn1	45738.c	45738bn	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$1.081972488$	$1$		$4$	$103680$	$1.136724$	$17779581/130438$	$0.91435$	$3.43262$	$1$	$[1, -1, 0, 1974, 114846]$	\(y^2+xy=x^3-x^2+1974x+114846\)	3.4.0.a.1, 24.8.0-3.a.1.8, 33.8.0-3.a.1.1, 264.16.0.?	$[(25, 411)]$	$1$
45738.d1	45738bl1	45738.d	45738bl	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{11} \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1.247307034$	$1$		$4$	$138240$	$1.371090$	$13893009339/112$	$0.96415$	$4.19647$	$1$	$[1, -1, 0, -68811, -6930379]$	\(y^2+xy=x^3-x^2-68811x-6930379\)	42.2.0.a.1	$[(-151, 81)]$	$1$
45738.e1	45738bm2	45738.e	45738bm	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{3} \cdot 3^{11} \cdot 7^{6} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$12.23759707$	$1$		$0$	$4105728$	$2.980850$	$122915020899/941192$	$0.98162$	$5.74040$	$1$	$[1, -1, 0, -17220561, 27327196133]$	\(y^2+xy=x^3-x^2-17220561x+27327196133\)	3.4.0.a.1, 24.8.0.c.1, 33.8.0-3.a.1.1, 264.16.0.?	$[(-2005789/25, 3502518009/25)]$	$1$
45738.e2	45738bm1	45738.e	45738bm	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{9} \cdot 7^{2} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$264$	$16$	$0$	$4.079199024$	$1$		$2$	$1368576$	$2.431545$	$605025531/25088$	$0.96685$	$5.04043$	$1$	$[1, -1, 0, -1408281, -619427539]$	\(y^2+xy=x^3-x^2-1408281x-619427539\)	3.4.0.a.1, 24.8.0.c.1, 33.8.0-3.a.1.2, 264.16.0.?	$[(-773, 3001)]$	$1$
45738.f1	45738j2	45738.f	45738j	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 7^{3} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$462$	$16$	$0$	$1$	$1$		$0$	$1368576$	$2.326736$	$2609627691/1404928$	$1.01107$	$4.76712$	$1$	$[1, -1, 0, -529821, -39058299]$	\(y^2+xy=x^3-x^2-529821x-39058299\)	3.4.0.a.1, 33.8.0-3.a.1.2, 42.8.0.b.1, 462.16.0.?	$[ ]$	$1$
45738.f2	45738j1	45738.f	45738j	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$462$	$16$	$0$	$1$	$1$		$0$	$456192$	$1.777431$	$4713944499/112$	$0.98570$	$4.61747$	$1$	$[1, -1, 0, -310206, 66576516]$	\(y^2+xy=x^3-x^2-310206x+66576516\)	3.4.0.a.1, 33.8.0-3.a.1.1, 42.8.0.b.1, 462.16.0.?	$[ ]$	$1$
45738.g1	45738ba1	45738.g	45738ba	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{7} \cdot 3^{5} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$0.368635391$	$1$		$6$	$161280$	$1.267439$	$13972389/68992$	$0.87752$	$3.57407$	$1$	$[1, -1, 0, 3789, -247307]$	\(y^2+xy=x^3-x^2+3789x-247307\)	264.2.0.?	$[(113, 1214)]$	$1$
45738.h1	45738n1	45738.h	45738n	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{11} \cdot 3^{5} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$975744$	$2.117870$	$-68936913321/100352$	$0.96136$	$4.84900$	$1$	$[1, -1, 0, -709506, -230140652]$	\(y^2+xy=x^3-x^2-709506x-230140652\)	264.2.0.?	$[ ]$	$1$
45738.i1	45738bv2	45738.i	45738bv	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{9} \cdot 7 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$42$	$16$	$0$	$1$	$1$		$0$	$456192$	$1.778278$	$89326611/448$	$0.89660$	$4.41523$	$1$	$[1, -1, 0, -150486, -22334284]$	\(y^2+xy=x^3-x^2-150486x-22334284\)	3.8.0-3.a.1.1, 42.16.0-42.b.1.3	$[ ]$	$1$
45738.i2	45738bv1	45738.i	45738bv	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 7^{3} \cdot 11^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$42$	$16$	$0$	$1$	$1$		$2$	$152064$	$1.228971$	$23613579/1372$	$0.87781$	$3.67696$	$1$	$[1, -1, 0, -10731, 408513]$	\(y^2+xy=x^3-x^2-10731x+408513\)	3.8.0-3.a.1.2, 42.16.0-42.b.1.4	$[ ]$	$1$
45738.j1	45738y1	45738.j	45738y	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.575331710$	$1$		$4$	$70560$	$0.892756$	$-89326611/105413504$	$1.10092$	$3.17037$	$1$	$[1, -1, 0, -138, 28276]$	\(y^2+xy=x^3-x^2-138x+28276\)	168.2.0.?	$[(15, 164)]$	$1$
45738.k1	45738bs1	45738.k	45738bs	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$14256$	$0.038380$	$652509/3584$	$0.89979$	$2.20109$	$1$	$[1, -1, 0, 27, 149]$	\(y^2+xy=x^3-x^2+27x+149\)	168.2.0.?	$[ ]$	$1$
45738.l1	45738w1	45738.l	45738w	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{21} \cdot 3^{3} \cdot 7 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$11.89879981$	$1$		$0$	$483840$	$1.944300$	$-1802929676211/1776287744$	$0.98533$	$4.37044$	$1$	$[1, -1, 0, -92043, -17646139]$	\(y^2+xy=x^3-x^2-92043x-17646139\)	168.2.0.?	$[(1063481/53, 163970654/53)]$	$1$
45738.m1	45738x1	45738.m	45738x	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{3} \cdot 7 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.800889474$	$1$		$2$	$46080$	$0.878498$	$-69426531/1694$	$0.85273$	$3.33439$	$1$	$[1, -1, 0, -3108, 68866]$	\(y^2+xy=x^3-x^2-3108x+68866\)	168.2.0.?	$[(69, 389)]$	$1$
45738.n1	45738f1	45738.n	45738f	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{11} \cdot 7^{9} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$2363904$	$2.807320$	$755891263741591254387/161414428$	$1.05604$	$6.05320$	$1$	$[1, -1, 0, -52717110, 147337859312]$	\(y^2+xy=x^3-x^2-52717110x+147337859312\)	42.2.0.a.1	$[ ]$	$1$
45738.o1	45738c1	45738.o	45738c	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{5} \cdot 7^{4} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1.909397645$	$1$		$4$	$1926144$	$2.681763$	$13947303927/1258815488$	$1.05004$	$5.16983$	$1$	$[1, -1, 0, 416520, 1287886144]$	\(y^2+xy=x^3-x^2+416520x+1287886144\)	264.2.0.?	$[(-393, 32806)]$	$1$
45738.p1	45738bh1	45738.p	45738bh	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{9} \cdot 7^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$2.220371034$	$1$		$2$	$1596672$	$2.709763$	$3800555813043/52706752$	$1.00206$	$5.40849$	$1$	$[1, -1, 0, -5253540, -4577564656]$	\(y^2+xy=x^3-x^2-5253540x-4577564656\)	42.2.0.a.1	$[(-1361, 7759)]$	$1$
45738.q1	45738b1	45738.q	45738b	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{3} \cdot 7^{4} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$2.525364883$	$1$		$0$	$27648$	$0.545745$	$-12374478297/4802$	$1.10432$	$3.14324$	$1$	$[1, -1, 0, -1590, -24018]$	\(y^2+xy=x^3-x^2-1590x-24018\)	264.2.0.?	$[(199/2, 879/2)]$	$1$
45738.r1	45738m1	45738.r	45738m	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{11} \cdot 7^{8} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$898560$	$2.345577$	$-28499523955017/47225249792$	$1.02358$	$4.80965$	$1$	$[1, -1, 0, -393135, -186387283]$	\(y^2+xy=x^3-x^2-393135x-186387283\)	264.2.0.?	$[ ]$	$1$
45738.s1	45738br1	45738.s	45738br	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{9} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$311040$	$1.803886$	$-2444008923/275968$	$0.90711$	$4.29330$	$1$	$[1, -1, 0, -91680, -11657728]$	\(y^2+xy=x^3-x^2-91680x-11657728\)	264.2.0.?	$[ ]$	$1$
45738.t1	45738u1	45738.t	45738u	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{24} \cdot 3^{9} \cdot 7 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$4.960213440$	$1$		$2$	$165888$	$1.471855$	$314252688123/117440512$	$1.00626$	$3.83543$	$1$	$[1, -1, 0, -18915, -591211]$	\(y^2+xy=x^3-x^2-18915x-591211\)	42.2.0.a.1	$[(-91, 654)]$	$1$
45738.u1	45738bf3	45738.u	45738bf	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{11} \cdot 7 \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$5544$	$144$	$3$	$2.768091744$	$1$		$0$	$466560$	$1.942137$	$-545407363875/14$	$1.02302$	$4.98541$	$1$	$[1, -1, 0, -1156722, 479130614]$	\(y^2+xy=x^3-x^2-1156722x+479130614\)	3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.1, 63.36.0.d.2, 99.24.0.?, $\ldots$	$[(5593/3, -8087/3)]$	$1$
45738.u2	45738bf2	45738.u	45738bf	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7^{3} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$5544$	$144$	$3$	$0.922697248$	$1$		$4$	$155520$	$1.392832$	$-7414875/2744$	$0.97713$	$3.78245$	$1$	$[1, -1, 0, -13272, 756872]$	\(y^2+xy=x^3-x^2-13272x+756872\)	3.12.0.a.1, 33.24.0-3.a.1.1, 63.36.0.a.1, 168.24.1.?, 504.72.3.?, $\ldots$	$[(91, 499)]$	$1$
45738.u3	45738bf1	45738.u	45738bf	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 7 \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$5544$	$144$	$3$	$2.768091744$	$1$		$0$	$51840$	$0.843525$	$4492125/3584$	$1.01407$	$3.07539$	$1$	$[1, -1, 0, 1248, -10752]$	\(y^2+xy=x^3-x^2+1248x-10752\)	3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.2, 63.36.0.d.1, 99.24.0.?, $\ldots$	$[(67/2, 901/2)]$	$1$
45738.v1	45738bd2	45738.v	45738bd	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{11} \cdot 7^{3} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$3.284046517$	$1$		$2$	$38880$	$0.793733$	$-122887875/686$	$0.87918$	$3.30985$	$1$	$[1, -1, 0, -2877, 60407]$	\(y^2+xy=x^3-x^2-2877x+60407\)	3.4.0.a.1, 33.8.0-3.a.1.1, 168.8.0.?, 1848.16.0.?	$[(23, 66)]$	$1$
45738.v2	45738bd1	45738.v	45738bd	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7 \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$1.094682172$	$1$		$2$	$12960$	$0.244427$	$37125/56$	$0.77971$	$2.39308$	$1$	$[1, -1, 0, 93, 413]$	\(y^2+xy=x^3-x^2+93x+413\)	3.4.0.a.1, 33.8.0-3.a.1.2, 168.8.0.?, 1848.16.0.?	$[(1, 22)]$	$1$
45738.w1	45738be1	45738.w	45738be	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{3} \cdot 7 \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$1.384721455$	$1$		$4$	$129600$	$1.346634$	$-32614639875/298144$	$0.93130$	$3.90533$	$1$	$[1, -1, 0, -24162, 1463028]$	\(y^2+xy=x^3-x^2-24162x+1463028\)	3.4.0.a.1, 33.8.0-3.a.1.1, 168.8.0.?, 1848.16.0.?	$[(-173, 752)]$	$1$
45738.w2	45738be2	45738.w	45738be	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{15} \cdot 3^{5} \cdot 7^{3} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$4.154164367$	$1$		$0$	$388800$	$1.895939$	$111277861125/123633664$	$1.04954$	$4.22300$	$1$	$[1, -1, 0, 75663, 7664157]$	\(y^2+xy=x^3-x^2+75663x+7664157\)	3.4.0.a.1, 33.8.0-3.a.1.2, 168.8.0.?, 1848.16.0.?	$[(-329/2, 7831/2)]$	$1$
45738.x1	45738q1	45738.x	45738q	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{7} \cdot 3^{5} \cdot 7 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.409862779$	$1$		$2$	$322560$	$1.701590$	$29815125/13118336$	$0.99420$	$4.07461$	$1$	$[1, -1, 0, 4878, 3611988]$	\(y^2+xy=x^3-x^2+4878x+3611988\)	168.2.0.?	$[(-129, 972)]$	$1$
45738.y1	45738p2	45738.y	45738p	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{5} \cdot 7^{3} \cdot 11^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$168$	$16$	$0$	$2.257659013$	$1$		$6$	$142560$	$1.443375$	$-122887875/686$	$0.87918$	$4.03633$	$1$	$[1, -1, 0, -38682, 2952054]$	\(y^2+xy=x^3-x^2-38682x+2952054\)	3.8.0-3.a.1.2, 168.16.0.?	$[(105, 147)]$	$1$
45738.y2	45738p1	45738.y	45738p	$2$	$3$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 7 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$168$	$16$	$0$	$6.772977040$	$1$		$0$	$47520$	$0.894069$	$37125/56$	$0.77971$	$3.11957$	$1$	$[1, -1, 0, 1248, 21192]$	\(y^2+xy=x^3-x^2+1248x+21192\)	3.8.0-3.a.1.1, 168.16.0.?	$[(787/2, 21633/2)]$	$1$
45738.z1	45738bo1	45738.z	45738bo	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{5} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1848$	$2$	$0$	$1$	$1$		$0$	$37440$	$0.762763$	$-46875/154$	$0.85451$	$3.03190$	$1$	$[1, -1, 0, -567, -13293]$	\(y^2+xy=x^3-x^2-567x-13293\)	1848.2.0.?	$[ ]$	$1$
45738.ba1	45738bg1	45738.ba	45738bg	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{24} \cdot 3^{3} \cdot 7 \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$9.456677737$	$1$		$0$	$608256$	$2.121494$	$314252688123/117440512$	$1.00626$	$4.56191$	$1$	$[1, -1, 0, -254304, -29314048]$	\(y^2+xy=x^3-x^2-254304x-29314048\)	42.2.0.a.1	$[(-7429/5, 576866/5)]$	$1$
45738.bb1	45738a1	45738.bb	45738a	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{5} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$8.613458667$	$1$		$0$	$3294720$	$2.995220$	$-28499523955017/47225249792$	$1.02358$	$5.53614$	$1$	$[1, -1, 0, -5285484, -9191726384]$	\(y^2+xy=x^3-x^2-5285484x-9191726384\)	264.2.0.?	$[(16120655/53, 57129515818/53)]$	$1$
45738.bc1	45738k1	45738.bc	45738k	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2 \cdot 3^{9} \cdot 7^{4} \cdot 11^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$912384$	$2.293999$	$-12374478297/4802$	$1.10432$	$5.09829$	$1$	$[1, -1, 0, -1731714, -876988018]$	\(y^2+xy=x^3-x^2-1731714x-876988018\)	264.2.0.?	$[ ]$	$1$
45738.bd1	45738s1	45738.bd	45738s	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.589268615$	$1$		$4$	$48384$	$0.961510$	$3800555813043/52706752$	$1.00206$	$3.45344$	$1$	$[1, -1, 0, -4824, -126208]$	\(y^2+xy=x^3-x^2-4824x-126208\)	42.2.0.a.1	$[(-37, 43)]$	$1$
45738.be1	45738r1	45738.be	45738r	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{2} \cdot 3^{11} \cdot 7 \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$84$	$2$	$0$	$4.079191101$	$1$		$2$	$85680$	$1.162605$	$-3/28$	$1.12894$	$3.47220$	$1$	$[1, -1, 0, -204, 142676]$	\(y^2+xy=x^3-x^2-204x+142676\)	84.2.0.?	$[(-10, 384)]$	$1$
45738.bf1	45738bp1	45738.bf	45738bp	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{5} \cdot 3^{3} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$57600$	$0.965587$	$-19683/17248$	$1.06278$	$3.25180$	$1$	$[1, -1, 0, -204, -43664]$	\(y^2+xy=x^3-x^2-204x-43664\)	264.2.0.?	$[ ]$	$1$
45738.bg1	45738l1	45738.bg	45738l	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{19} \cdot 3^{11} \cdot 7^{4} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$525312$	$2.032120$	$13947303927/1258815488$	$1.05004$	$4.44335$	$1$	$[1, -1, 0, 30981, 26119781]$	\(y^2+xy=x^3-x^2+30981x+26119781\)	264.2.0.?	$[ ]$	$1$
45738.bh1	45738bq1	45738.bh	45738bq	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{5} \cdot 7^{9} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$8667648$	$3.456963$	$755891263741591254387/161414428$	$1.05604$	$6.77968$	$1$	$[1, -1, 0, -708752259, 7262738266801]$	\(y^2+xy=x^3-x^2-708752259x+7262738266801\)	42.2.0.a.1	$[ ]$	$1$
45738.bi1	45738t1	45738.bi	45738t	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{3} \cdot 7^{2} \cdot 11^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$6.111334524$	$1$		$0$	$1451520$	$2.401840$	$316280586908637/488894146048$	$1.02318$	$4.80718$	$1$	$[1, -1, 0, 515256, -184155328]$	\(y^2+xy=x^3-x^2+515256x-184155328\)	264.2.0.?	$[(413483/29, 328265847/29)]$	$1$
45738.bj1	45738g1	45738.bj	45738g	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{9} \cdot 7 \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$470448$	$1.786634$	$652509/3584$	$0.89979$	$4.15615$	$1$	$[1, -1, 0, 29199, 5588765]$	\(y^2+xy=x^3-x^2+29199x+5588765\)	168.2.0.?	$[ ]$	$1$
45738.bk1	45738bi1	45738.bk	45738bi	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 7^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$13.75702978$	$1$		$0$	$2328480$	$2.641010$	$-89326611/105413504$	$1.10092$	$5.12542$	$1$	$[1, -1, 0, -150486, 1014951284]$	\(y^2+xy=x^3-x^2-150486x+1014951284\)	168.2.0.?	$[(2026375/47, 4167383456/47)]$	$1$
45738.bl1	45738v1	45738.bl	45738v	$1$	$1$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 7^{7} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$12.22606857$	$1$		$0$	$2903040$	$2.925320$	$-147843721444858011/797189624$	$1.02846$	$5.94648$	$1$	$[1, -1, 0, -35989476, -83093375656]$	\(y^2+xy=x^3-x^2-35989476x-83093375656\)	168.2.0.?	$[(24117515/59, 1296771578/59)]$	$1$
45738.bm1	45738bk3	45738.bm	45738bk	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 7^{2} \cdot 11^{15} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$5544$	$144$	$3$	$13.08636600$	$1$		$0$	$8398080$	$3.349609$	$-185554619099066451/924315494872$	$1.00815$	$6.17321$	$1$	$[1, -1, 0, -80750643, 280517213213]$	\(y^2+xy=x^3-x^2-80750643x+280517213213\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.8, 33.8.0-3.a.1.1, 63.36.0.f.2, $\ldots$	$[(1655821/15, 970251811/15)]$	$1$
45738.bm2	45738bk1	45738.bm	45738bk	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{27} \cdot 3^{3} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$5544$	$144$	$3$	$13.08636600$	$1$		$0$	$933120$	$2.250996$	$-59552017449651/72343355392$	$1.00907$	$4.70913$	$1$	$[1, -1, 0, -295323, -108672987]$	\(y^2+xy=x^3-x^2-295323x-108672987\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.7, 33.8.0-3.a.1.2, 63.36.0.f.1, $\ldots$	$[(860311/34, 344127695/34)]$	$1$
45738.bm3	45738bk2	45738.bm	45738bk	$3$	$9$	\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \)	\( - 2^{9} \cdot 3^{9} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$5544$	$144$	$3$	$4.362122002$	$1$		$2$	$2799360$	$2.800301$	$49112336711061/80174499328$	$1.01404$	$5.25589$	$1$	$[1, -1, 0, 2492517, 2043229733]$	\(y^2+xy=x^3-x^2+2492517x+2043229733\)	3.12.0.a.1, 24.24.0-3.a.1.4, 33.24.0-3.a.1.1, 63.36.0.c.1, 264.48.1.?, $\ldots$	$[(5221, 394069)]$	$1$

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