Elliptic curves over $\Q$ of conductor 422142

Results (1-50 of 143 matches)

  Download displayed columns for results to

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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
422142.a1	422142a1	422142.a	422142a	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 19 \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3192$	$2$	$0$	$36.57364909$	$1$		$0$	$82667520$	$3.183430$	$-892420116098747161/21445337088$	$0.95641$	$5.12748$	$[1, 1, 0, -85813597, -306014525315]$	\(y^2+xy=x^3+x^2-85813597x-306014525315\)	3192.2.0.?	$[(6623740058326959/438301, 515726507262091767987202/438301)]$
422142.b1	422142b1	422142.b	422142b	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 19^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$8.233590879$	$1$		$0$	$19837440$	$2.699543$	$-3203324534532292752802873/52058248123392$	$1.01133$	$4.84033$	$[1, 1, 0, -24837676, -47655046064]$	\(y^2+xy=x^3+x^2-24837676x-47655046064\)	532.2.0.?	$[(190744/5, 56403668/5)]$
422142.c1	422142c1	422142.c	422142c	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$6285312$	$1.957323$	$25043174237593/94559808$	$0.86847$	$3.83419$	$[1, 1, 0, -322436, 70107024]$	\(y^2+xy=x^3+x^2-322436x+70107024\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[ ]$
422142.c2	422142c2	422142.c	422142c	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$0$	$12570624$	$2.303898$	$-3957057343513/50915390904$	$0.94696$	$3.93459$	$[1, 1, 0, -174316, 134953960]$	\(y^2+xy=x^3+x^2-174316x+134953960\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[ ]$
422142.d1	422142d1	422142.d	422142d	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{26} \cdot 3^{9} \cdot 7^{6} \cdot 19 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$9$	$3$	$1$	$972601344$	$4.330421$	$3572885513196319527503353/1561955629889212121088$	$1.00550$	$5.81702$	$[1, 1, 0, -1684822426, 13163128830484]$	\(y^2+xy=x^3+x^2-1684822426x+13163128830484\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[ ]$
422142.d2	422142d2	422142.d	422142d	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{18} \cdot 7^{3} \cdot 19^{2} \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$9$	$3$	$0$	$1945202688$	$4.676994$	$141819586013453204167621127/109972777692846964137984$	$1.01767$	$6.10121$	$[1, 1, 0, 5747246694, 97783181416980]$	\(y^2+xy=x^3+x^2+5747246694x+97783181416980\)	2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?	$[ ]$
422142.e1	422142e1	422142.e	422142e	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{15} \cdot 3^{4} \cdot 7^{5} \cdot 19 \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$1$	$1$		$0$	$42393600$	$3.073090$	$-717995444020969/847576203264$	$1.13610$	$4.66323$	$[1, 1, 0, -7981298, 15128293044]$	\(y^2+xy=x^3+x^2-7981298x+15128293044\)	1064.2.0.?	$[ ]$
422142.f1	422142f1	422142.f	422142f	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2 \cdot 3^{2} \cdot 7 \cdot 19^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$24.31285212$	$1$		$0$	$8266752$	$2.297504$	$-16362303361609/864234$	$0.89154$	$4.28547$	$[1, 1, 0, -2262808, -1311149006]$	\(y^2+xy=x^3+x^2-2262808x-1311149006\)	1064.2.0.?	$[(62721810091/115, 15704647315866469/115)]$
422142.g1	422142g1	422142.g	422142g	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 7 \cdot 19^{2} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$22998528$	$2.746105$	$1120907693189209/1117863936$	$0.92042$	$4.61178$	$[1, 1, 0, -9258833, -10838335851]$	\(y^2+xy=x^3+x^2-9258833x-10838335851\)	42.2.0.a.1	$[ ]$
422142.h1	422142h1	422142.h	422142h	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 7^{7} \cdot 19 \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$3.558691282$	$1$		$2$	$18794496$	$2.751392$	$6687833984375/20278922832$	$1.00979$	$4.32790$	$[1, 1, 0, 1679300, 1725369184]$	\(y^2+xy=x^3+x^2+1679300x+1725369184\)	532.2.0.?	$[(12916, 1469452)]$
422142.i1	422142i2	422142.i	422142i	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$1610752$	$1.508242$	$377149515625/90972$	$1.09011$	$3.51027$	$[1, 1, 0, -79625, -8679591]$	\(y^2+xy=x^3+x^2-79625x-8679591\)	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[ ]$
422142.i2	422142i1	422142.i	422142i	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$805376$	$1.161669$	$128787625/44688$	$0.85715$	$2.89403$	$[1, 1, 0, -5565, -103443]$	\(y^2+xy=x^3+x^2-5565x-103443\)	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[ ]$
422142.j1	422142j1	422142.j	422142j	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 7^{7} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.273489789$	$1$		$8$	$817152$	$1.183645$	$6687833984375/20278922832$	$1.00979$	$2.87551$	$[1, 1, 0, 3175, -140427]$	\(y^2+xy=x^3+x^2+3175x-140427\)	532.2.0.?	$[(86, 839)]$
422142.k1	422142k1	422142.k	422142k	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{14} \cdot 3^{3} \cdot 7 \cdot 19^{2} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$2.742327140$	$1$		$4$	$999936$	$1.178360$	$1120907693189209/1117863936$	$0.92042$	$3.15939$	$[1, 1, 0, -17502, 883188]$	\(y^2+xy=x^3+x^2-17502x+883188\)	42.2.0.a.1	$[(652/3, 238/3), (44, 426)]$
422142.l1	422142l1	422142.l	422142l	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2 \cdot 3^{2} \cdot 7 \cdot 19^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$0.543668870$	$1$		$2$	$359424$	$0.729755$	$-16362303361609/864234$	$0.89154$	$2.83307$	$[1, 1, 0, -4277, 105903]$	\(y^2+xy=x^3+x^2-4277x+105903\)	1064.2.0.?	$[(29, 71)]$
422142.m1	422142m1	422142.m	422142m	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{15} \cdot 3^{4} \cdot 7^{5} \cdot 19 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$1$	$1$		$0$	$1843200$	$1.505344$	$-717995444020969/847576203264$	$1.13610$	$3.21084$	$[1, 1, 0, -15087, -1249947]$	\(y^2+xy=x^3+x^2-15087x-1249947\)	1064.2.0.?	$[ ]$
422142.n1	422142n1	422142.n	422142n	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{11} \cdot 3^{25} \cdot 7^{4} \cdot 19 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1$	$25$	$5$	$0$	$669081600$	$4.329514$	$-186412805526685980326617/1820685432230184941568$	$1.05848$	$5.81164$	$[1, 1, 0, -629563704, -25707687106752]$	\(y^2+xy=x^3+x^2-629563704x-25707687106752\)	10488.2.0.?	$[ ]$
422142.o1	422142o3	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 7 \cdot 19 \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1$	$1$		$0$	$9732096$	$2.355675$	$2800418713303177/12058908372$	$0.90151$	$4.19834$	$[1, 1, 0, -1553419, 741789433]$	\(y^2+xy=x^3+x^2-1553419x+741789433\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 92.12.0.?, 266.6.0.?, $\ldots$	$[ ]$
422142.o2	422142o2	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$1$	$1$		$2$	$4866048$	$2.009102$	$2338337977417/1347477264$	$0.92412$	$3.65113$	$[1, 1, 0, -146279, -1461915]$	\(y^2+xy=x^3+x^2-146279x-1461915\)	2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 276.24.0.?, 532.12.0.?, $\ldots$	$[ ]$
422142.o3	422142o1	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{8} \cdot 3 \cdot 7 \cdot 19 \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1$	$4$	$2$	$1$	$2433024$	$1.662529$	$839362385737/2349312$	$0.83976$	$3.57203$	$[1, 1, 0, -103959, -12913707]$	\(y^2+xy=x^3+x^2-103959x-12913707\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 184.12.0.?, 552.24.0.?, $\ldots$	$[ ]$
422142.o4	422142o4	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{2} \cdot 3 \cdot 7^{4} \cdot 19^{4} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1$	$1$		$0$	$9732096$	$2.355675$	$148599082115063/86360598996$	$0.95203$	$3.97166$	$[1, 1, 0, 583741, -10952175]$	\(y^2+xy=x^3+x^2+583741x-10952175\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 92.12.0.?, 276.24.0.?, $\ldots$	$[ ]$
422142.p1	422142p1	422142.p	422142p	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 19^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$4.017241229$	$1$		$2$	$456261120$	$4.267288$	$-3203324534532292752802873/52058248123392$	$1.01133$	$6.29272$	$[1, 1, 0, -13139130879, 579687554152773]$	\(y^2+xy=x^3+x^2-13139130879x+579687554152773\)	532.2.0.?	$[(60366, 2521737)]$
422142.q1	422142q1	422142.q	422142q	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 7^{2} \cdot 19 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10488$	$2$	$0$	$1$	$9$	$3$	$0$	$14192640$	$2.364437$	$-67260741124719241/74003328$	$0.97578$	$4.44375$	$[1, 1, 0, -4481963, -3654037635]$	\(y^2+xy=x^3+x^2-4481963x-3654037635\)	10488.2.0.?	$[ ]$
422142.r1	422142r1	422142.r	422142r	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3192$	$2$	$0$	$9.158895925$	$1$		$0$	$3594240$	$1.615683$	$-892420116098747161/21445337088$	$0.95641$	$3.67509$	$[1, 1, 0, -162218, 25080660]$	\(y^2+xy=x^3+x^2-162218x+25080660\)	3192.2.0.?	$[(12409/5, 993367/5)]$
422142.s1	422142s1	422142.s	422142s	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 7^{3} \cdot 19 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36708$	$2$	$0$	$10.34935530$	$1$		$0$	$28740096$	$2.555954$	$-44365623586201/1060911710208$	$1.12032$	$4.16748$	$[1, 1, 0, -390148, -610364720]$	\(y^2+xy=x^3+x^2-390148x-610364720\)	36708.2.0.?	$[(59138664/25, 454039882988/25)]$
422142.t1	422142t2	422142.t	422142t	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.835092559$	$1$		$4$	$6082560$	$1.770248$	$23711636464489/363888$	$0.95210$	$3.82997$	$[1, 0, 1, -316618, 68545292]$	\(y^2+xy+y=x^3-316618x+68545292\)	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[(321, -47)]$
422142.t2	422142t1	422142.t	422142t	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{8} \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.670185118$	$1$		$3$	$3041280$	$1.423676$	$6321363049/715008$	$1.04390$	$3.19462$	$[1, 0, 1, -20378, 1002572]$	\(y^2+xy+y=x^3-20378x+1002572\)	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[(-19, 1185)]$
422142.u1	422142u1	422142.u	422142u	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2 \cdot 3^{7} \cdot 7 \cdot 19^{2} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$0.303129197$	$1$		$8$	$4730880$	$1.861197$	$16915218263/254221254$	$0.86332$	$3.51901$	$[1, 0, 1, 28290, 9154462]$	\(y^2+xy+y=x^3+28290x+9154462\)	3864.2.0.?	$[(-94, 2427)]$
422142.v1	422142v1	422142.v	422142v	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2 \cdot 3^{6} \cdot 7 \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$73416$	$16$	$0$	$1.478866756$	$1$		$2$	$165888$	$0.239022$	$-313994137/193914$	$0.79762$	$2.05063$	$[1, 0, 1, -115, -688]$	\(y^2+xy+y=x^3-115x-688\)	3.4.0.a.1, 69.8.0-3.a.1.2, 1064.2.0.?, 3192.8.0.?, 73416.16.0.?	$[(16, 32)]$
422142.v2	422142v2	422142.v	422142v	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{3} \cdot 3^{2} \cdot 7^{3} \cdot 19^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$73416$	$16$	$0$	$4.436600268$	$1$		$0$	$497664$	$0.788327$	$163045918103/169389864$	$0.87506$	$2.47727$	$[1, 0, 1, 920, 9662]$	\(y^2+xy+y=x^3+920x+9662\)	3.4.0.a.1, 69.8.0-3.a.1.1, 1064.2.0.?, 3192.8.0.?, 73416.16.0.?	$[(-5/2, 739/2)]$
422142.w1	422142w2	422142.w	422142w	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{57} \cdot 3^{4} \cdot 7^{5} \cdot 19^{3} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$3192$	$16$	$0$	$12.40973876$	$1$		$0$	$3924080640$	$5.150711$	$-885054173129909473160896402567273/1345692322481263587272687616$	$1.06932$	$6.82523$	$[1, 0, 1, -130833560985, -18238826504070788]$	\(y^2+xy+y=x^3-130833560985x-18238826504070788\)	3.8.0-3.a.1.1, 1064.2.0.?, 3192.16.0.?	$[(1815371/2, 1005766263/2)]$
422142.w2	422142w1	422142.w	422142w	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{19} \cdot 3^{12} \cdot 7^{15} \cdot 19 \cdot 23^{4} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$3192$	$16$	$0$	$4.136579589$	$1$		$6$	$1308026880$	$4.601402$	$5440141067713791011601894407/25133280338487142984974336$	$1.06496$	$6.04868$	$[1, 0, 1, 2396620470, -119337464426180]$	\(y^2+xy+y=x^3+2396620470x-119337464426180\)	3.8.0-3.a.1.2, 1064.2.0.?, 3192.16.0.?	$[(34268, 1723839)]$
422142.x1	422142x1	422142.x	422142x	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 19^{2} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.134279645$	$1$		$28$	$5870592$	$2.013016$	$46404025484312948377/10403087412816$	$0.97366$	$3.98012$	$[1, 0, 1, -605475, 181253710]$	\(y^2+xy+y=x^3-605475x+181253710\)	42.2.0.a.1	$[(758, 12189), (359, 3012)]$
422142.y1	422142y2	422142.y	422142y	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{6} \cdot 3 \cdot 7^{9} \cdot 19^{2} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$42$	$16$	$0$	$5.650410431$	$1$		$0$	$145939968$	$3.678047$	$566741302835994084073/2796989208384$	$0.98337$	$5.62571$	$[1, 0, 1, -737611955, -7710661607410]$	\(y^2+xy+y=x^3-737611955x-7710661607410\)	3.8.0-3.a.1.1, 42.16.0-42.b.1.3	$[(-391369/5, 797256/5)]$
422142.y2	422142y1	422142.y	422142y	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 7^{3} \cdot 19^{6} \cdot 23^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$42$	$16$	$0$	$1.883470143$	$1$		$8$	$48646656$	$3.128742$	$3020743134142393/1742767615764$	$1.00177$	$4.68832$	$[1, 0, 1, -12884600, -985651198]$	\(y^2+xy+y=x^3-12884600x-985651198\)	3.8.0-3.a.1.2, 42.16.0-42.b.1.4	$[(-81, 7621)]$
422142.z1	422142z4	422142.z	422142z	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$1$	$9$	$3$	$0$	$67043328$	$3.344135$	$63116181515354994609913/20268303846$	$0.98007$	$5.50542$	$[1, 0, 1, -438794667, -3537892335560]$	\(y^2+xy+y=x^3-438794667x-3537892335560\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 152.12.0.?, 184.12.0.?, $\ldots$	$[ ]$
422142.z2	422142z2	422142.z	422142z	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 7^{4} \cdot 19^{2} \cdot 23^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10488$	$48$	$0$	$1$	$9$	$3$	$2$	$33521664$	$2.997559$	$15415512004366353433/8731989540036$	$0.94739$	$4.86331$	$[1, 0, 1, -27428397, -55265493740]$	\(y^2+xy+y=x^3-27428397x-55265493740\)	2.6.0.a.1, 24.12.0.b.1, 152.12.0.?, 184.12.0.?, 228.12.0.?, $\ldots$	$[ ]$
422142.z3	422142z3	422142.z	422142z	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2 \cdot 3^{4} \cdot 7^{2} \cdot 19 \cdot 23^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$1$	$9$	$3$	$0$	$67043328$	$3.344135$	$-8513369695913641273/11811019422050982$	$0.95847$	$4.91189$	$[1, 0, 1, -22503407, -75735722176]$	\(y^2+xy+y=x^3-22503407x-75735722176\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 152.12.0.?, 184.12.0.?, $\ldots$	$[ ]$
422142.z4	422142z1	422142.z	422142z	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 7^{8} \cdot 19 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$1$	$9$	$3$	$1$	$16760832$	$2.650986$	$6210935535799513/2781216712848$	$0.92347$	$4.25983$	$[1, 0, 1, -2025817, -528014356]$	\(y^2+xy+y=x^3-2025817x-528014356\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 114.6.0.?, 152.12.0.?, $\ldots$	$[ ]$
422142.ba1	422142ba1	422142.ba	422142ba	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{7} \cdot 3^{4} \cdot 7^{2} \cdot 19^{7} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.842504962$	$1$		$12$	$5569536$	$2.030045$	$997247786436744313/454115447307648$	$0.97432$	$3.68366$	$[1, 0, 1, -168337, 12258404]$	\(y^2+xy+y=x^3-168337x+12258404\)	152.2.0.?	$[(1762, 71138), (-533/2, 46015/2)]$
422142.bb1	422142bb1	422142.bb	422142bb	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{18} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$12400128$	$2.399700$	$-313994137/313786368$	$0.93805$	$4.02247$	$[1, 0, 1, -60582, -238573064]$	\(y^2+xy+y=x^3-60582x-238573064\)	532.2.0.?	$[ ]$
422142.bc1	422142bc4	422142.bc	422142bc	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{4} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$7.768931815$	$1$		$0$	$8650752$	$2.330624$	$27384399945278713/153257496$	$1.03374$	$4.37438$	$[1, 0, 1, -3321867, -2330616770]$	\(y^2+xy+y=x^3-3321867x-2330616770\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 152.12.0.?, 184.12.0.?, $\ldots$	$[(117664/5, 36426577/5)]$
422142.bc2	422142bc2	422142.bc	422142bc	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{6} \cdot 3^{2} \cdot 7^{4} \cdot 19^{2} \cdot 23^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$10488$	$48$	$0$	$3.884465907$	$1$		$4$	$4325376$	$1.984049$	$7052482298233/499254336$	$0.99741$	$3.73635$	$[1, 0, 1, -211347, -35053010]$	\(y^2+xy+y=x^3-211347x-35053010\)	2.6.0.a.1, 24.12.0.b.1, 152.12.0.?, 184.12.0.?, 228.12.0.?, $\ldots$	$[(4552, 303221)]$
422142.bc3	422142bc1	422142.bc	422142bc	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$7.768931815$	$1$		$1$	$2162688$	$1.637474$	$55611739513/11440128$	$0.91363$	$3.36249$	$[1, 0, 1, -42067, 2662574]$	\(y^2+xy+y=x^3-42067x+2662574\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 114.6.0.?, 152.12.0.?, $\ldots$	$[(43519/15, 4163792/15)]$
422142.bc4	422142bc3	422142.bc	422142bc	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{3} \cdot 3^{4} \cdot 7^{8} \cdot 19 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10488$	$48$	$0$	$1.942232953$	$1$		$4$	$8650752$	$2.330624$	$5180411077127/70976229912$	$1.16509$	$3.95351$	$[1, 0, 1, 190693, -152609506]$	\(y^2+xy+y=x^3+190693x-152609506\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 152.12.0.?, 184.12.0.?, $\ldots$	$[(458, 5325)]$
422142.bd1	422142bd1	422142.bd	422142bd	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{2} \cdot 7^{5} \cdot 19 \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$5.746535725$	$1$		$0$	$424519680$	$4.275780$	$-60622636760828930041195168773529/23543783424$	$1.06505$	$6.61805$	$[1, 0, 1, -53531262324, 4767151281631858]$	\(y^2+xy+y=x^3-53531262324x+4767151281631858\)	1064.2.0.?	$[(48222536/19, -458117238/19)]$
422142.be1	422142be1	422142.be	422142be	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{7} \cdot 7 \cdot 19^{2} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$1$	$1$		$0$	$147603456$	$3.723064$	$-981750978256503859384681/550842545627136$	$0.98907$	$5.71729$	$[1, 0, 1, -1095338154, 13953006816028]$	\(y^2+xy+y=x^3-1095338154x+13953006816028\)	3864.2.0.?	$[ ]$
422142.bf1	422142bf1	422142.bf	422142bf	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{7} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1064$	$2$	$0$	$3.579766488$	$1$		$0$	$118272$	$0.199126$	$20991479/153216$	$0.80648$	$1.97503$	$[1, 0, 1, 46, -412]$	\(y^2+xy+y=x^3+46x-412\)	1064.2.0.?	$[(39/2, 209/2)]$
422142.bg1	422142bg1	422142.bg	422142bg	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{3} \cdot 3 \cdot 7^{3} \cdot 19^{2} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$1$	$1$		$0$	$4866048$	$1.854156$	$-2628643361401/68350296$	$0.85063$	$3.66356$	$[1, 0, 1, -152099, -23351530]$	\(y^2+xy+y=x^3-152099x-23351530\)	3864.2.0.?	$[ ]$
422142.bh1	422142bh6	422142.bh	422142bh	$6$	$18$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{18} \cdot 3^{2} \cdot 7 \cdot 19^{2} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$110124$	$864$	$21$	$8.597953312$	$1$		$0$	$246343680$	$3.829979$	$103665426767620308239307625/5961940992$	$1.05833$	$6.07702$	$[1, 0, 1, -5177169866, 143378960934332]$	\(y^2+xy+y=x^3-5177169866x+143378960934332\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$	$[(91740413/47, -2575646721/47)]$

  Download displayed columns for results to