Elliptic curves over $\Q$ of conductor 30960

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

Results (1-50 of 116 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
30960.a1	30960br1	30960.a	30960br	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.852331492$	$1$		$23$	$36864$	$0.885105$	$1263214441/29025$	$0.85169$	$3.46855$	$1$	$[0, 0, 0, -3243, 69658]$	\(y^2=x^3-3243x+69658\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(53, 216), (26, 54)]$	$1$
30960.a2	30960br2	30960.a	30960br	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.409325971$	$1$		$13$	$73728$	$1.231678$	$1685159/6739605$	$1.19354$	$3.68335$	$1$	$[0, 0, 0, 357, 215818]$	\(y^2=x^3+357x+215818\)	2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?	$[(71, 774), (266, 4374)]$	$1$
30960.b1	30960bq1	30960.b	30960bq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$9$	$3$	$0$	$368640$	$2.084919$	$-645008376471556096/783675$	$1.01002$	$5.40764$	$1$	$[0, 0, 0, -2592048, -1606248272]$	\(y^2=x^3-2592048x-1606248272\)	86.2.0.?	$[ ]$	$1$
30960.c1	30960w2	30960.c	30960w	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$6.208031046$	$1$		$3$	$1146880$	$2.524380$	$8000051600110940079507/144453125$	$1.03953$	$6.00045$	$1$	$[0, 0, 0, -20000043, 34426629658]$	\(y^2=x^3-20000043x+34426629658\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(13031, 1409454)]$	$1$
30960.c2	30960w1	30960.c	30960w	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{14} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.104015523$	$1$		$3$	$573440$	$2.177807$	$1953326569433829507/262451171875$	$1.01058$	$5.19607$	$1$	$[0, 0, 0, -1250043, 537879658]$	\(y^2=x^3-1250043x+537879658\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(653, 216)]$	$1$
30960.d1	30960bi2	30960.d	30960bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.983783352$	$1$		$7$	$43008$	$1.017607$	$2305199161/277350$	$0.86195$	$3.52672$	$1$	$[0, 0, 0, -3963, -85462]$	\(y^2=x^3-3963x-85462\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(-41, 90)]$	$1$
30960.d2	30960bi1	30960.d	30960bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.967566705$	$1$		$5$	$21504$	$0.671033$	$1685159/7740$	$0.81723$	$3.01569$	$1$	$[0, 0, 0, 357, -6838]$	\(y^2=x^3+357x-6838\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(22, 108)]$	$1$
30960.e1	30960f1	30960.e	30960f	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$0.672498864$	$1$		$4$	$10752$	$0.311132$	$-2/215$	$0.91713$	$2.61513$	$1$	$[0, 0, 0, -3, -862]$	\(y^2=x^3-3x-862\)	1720.2.0.?	$[(13, 36)]$	$1$
30960.f1	30960bf4	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$2.966728132$	$1$		$3$	$552960$	$2.338226$	$15393836938735081/2275690697640$	$0.97892$	$5.04641$	$1$	$[0, 0, 0, -746283, -214116262]$	\(y^2=x^3-746283x-214116262\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[(-539, 5616)]$	$1$
30960.f2	30960bf3	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{2} \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$5.933456265$	$1$		$3$	$276480$	$1.991653$	$13679527032530281/381633600$	$0.97456$	$5.03499$	$1$	$[0, 0, 0, -717483, -233913382]$	\(y^2=x^3-717483x-233913382\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$	$[(1199, 25090)]$	$1$
30960.f3	30960bf2	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{13} \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$0.988909377$	$1$		$9$	$184320$	$1.788921$	$276670733768281/336980250$	$0.95357$	$4.65776$	$1$	$[0, 0, 0, -195483, 33231818]$	\(y^2=x^3-195483x+33231818\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[(133, 3096)]$	$1$
30960.f4	30960bf1	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1.977818755$	$1$		$7$	$92160$	$1.442348$	$137467988281/72562500$	$0.93880$	$3.92208$	$1$	$[0, 0, 0, -15483, 219818]$	\(y^2=x^3-15483x+219818\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.c.1, $\ldots$	$[(13, 144)]$	$1$
30960.g1	30960d1	30960.g	30960d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$1.395582588$	$1$		$21$	$36864$	$0.967011$	$3550014724/725625$	$0.99630$	$3.43441$	$1$	$[0, 0, 0, -2883, -47918]$	\(y^2=x^3-2883x-47918\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(-31, 108), (77, 432)]$	$1$
30960.g2	30960d2	30960.g	30960d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{11} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1032$	$12$	$0$	$1.395582588$	$1$		$21$	$73728$	$1.313585$	$16954370638/33698025$	$0.90384$	$3.73870$	$1$	$[0, 0, 0, 6117, -287318]$	\(y^2=x^3+6117x-287318\)	2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.?	$[(81, 860), (41, 180)]$	$1$
30960.h1	30960bd1	30960.h	30960bd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.047338545$	$1$		$4$	$36864$	$1.001348$	$8951619584/6046875$	$0.93244$	$3.38979$	$1$	$[0, 0, 0, 2472, -19348]$	\(y^2=x^3+2472x-19348\)	86.2.0.?	$[(26, 250)]$	$1$
30960.i1	30960a2	30960.i	30960a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.427775$	$4662947952/26875$	$0.82819$	$3.00799$	$1$	$[0, 0, 0, -663, -6538]$	\(y^2=x^3-663x-6538\)	2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 258.6.0.?, 516.12.0.?	$[ ]$	$1$
30960.i2	30960a1	30960.i	30960a	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$516$	$12$	$0$	$1$	$1$		$1$	$4096$	$0.081202$	$-1492992/46225$	$0.85788$	$2.34834$	$1$	$[0, 0, 0, -18, -217]$	\(y^2=x^3-18x-217\)	2.3.0.a.1, 6.6.0.a.1, 172.6.0.?, 516.12.0.?	$[ ]$	$1$
30960.j1	30960r2	30960.j	30960r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$7.088702683$	$1$		$9$	$24576$	$0.827841$	$137627865747/36980$	$0.94746$	$3.60346$	$1$	$[0, 0, 0, -5163, -142758]$	\(y^2=x^3-5163x-142758\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-41, 2), (127, 1118)]$	$1$
30960.j2	30960r1	30960.j	30960r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.772175670$	$1$		$17$	$12288$	$0.481267$	$47832147/17200$	$1.02247$	$2.83322$	$1$	$[0, 0, 0, -363, -1638]$	\(y^2=x^3-363x-1638\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-9, 30), (31, 130)]$	$1$
30960.k1	30960bj2	30960.k	30960bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.494778$	$14457238157881/4437600$	$0.93485$	$4.37231$	$1$	$[0, 0, 0, -73083, -7602518]$	\(y^2=x^3-73083x-7602518\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[ ]$	$1$
30960.k2	30960bj1	30960.k	30960bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{22} \cdot 3^{8} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.148203$	$-2305199161/1981440$	$0.87827$	$3.61476$	$1$	$[0, 0, 0, -3963, -151382]$	\(y^2=x^3-3963x-151382\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[ ]$	$1$
30960.l1	30960c4	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{12} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.830841$	$54477543627364/31494140625$	$1.04568$	$4.36654$	$2$	$[0, 0, 0, -71643, -235942]$	\(y^2=x^3-71643x-235942\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
30960.l2	30960c2	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2580$	$48$	$0$	$1$	$1$		$3$	$73728$	$1.484268$	$67283921459536/260015625$	$1.00288$	$4.25289$	$1$	$[0, 0, 0, -48423, 4087622]$	\(y^2=x^3-48423x+4087622\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 172.12.0.?, $\ldots$	$[ ]$	$1$
30960.l3	30960c1	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$36864$	$1.137693$	$1073544204384256/16125$	$0.97030$	$4.25262$	$2$	$[0, 0, 0, -48378, 4095623]$	\(y^2=x^3-48378x+4095623\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
30960.l4	30960c3	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.830841$	$-2580786074884/34615360125$	$1.04688$	$4.37966$	$2$	$[0, 0, 0, -25923, 7899122]$	\(y^2=x^3-25923x+7899122\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$	$[ ]$	$1$
30960.m1	30960e4	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$4.439126857$	$1$		$3$	$270336$	$1.961258$	$820480625548035842/5805$	$0.99016$	$5.36388$	$2$	$[0, 0, 0, -2229123, 1281000098]$	\(y^2=x^3-2229123x+1281000098\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 1720.24.0.?, $\ldots$	$[(1006, 7524)]$	$1$
30960.m2	30960e3	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1.109781714$	$1$		$5$	$270336$	$1.961258$	$245245463376482/57692266875$	$0.95595$	$4.57906$	$2$	$[0, 0, 0, -149043, 17061842]$	\(y^2=x^3-149043x+17061842\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[(82, 2322)]$	$1$
30960.m3	30960e2	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$5160$	$48$	$0$	$2.219563428$	$1$		$9$	$135168$	$1.614685$	$400649568576484/33698025$	$0.94741$	$4.55950$	$1$	$[0, 0, 0, -139323, 20014778]$	\(y^2=x^3-139323x+20014778\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 860.12.0.?, $\ldots$	$[(209, 160)]$	$1$
30960.m4	30960e1	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{18} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5160$	$48$	$0$	$4.439126857$	$1$		$3$	$67584$	$1.268112$	$-315278049616/114259815$	$0.89070$	$3.78125$	$2$	$[0, 0, 0, -8103, 358022]$	\(y^2=x^3-8103x+358022\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$	$[(149, 1568)]$	$1$
30960.n1	30960bk1	30960.n	30960bk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$860160$	$2.528728$	$-522547125460258816/9506987907075$	$1.00952$	$5.39028$	$1$	$[0, 0, 0, -2416368, 1468298608]$	\(y^2=x^3-2416368x+1468298608\)	86.2.0.?	$[ ]$	$1$
30960.o1	30960bl1	30960.o	30960bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{17} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$1$	$2027520$	$3.005684$	$408076159454905367161/1190206406250000$	$1.01605$	$6.03140$	$1$	$[0, 0, 0, -22251963, -40299850262]$	\(y^2=x^3-22251963x-40299850262\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[ ]$	$1$
30960.o2	30960bl2	30960.o	30960bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{28} \cdot 5^{5} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$16$	$2$	$1$	$4055040$	$3.352257$	$-86193969101536367161/725294740213012500$	$1.03975$	$6.14635$	$1$	$[0, 0, 0, -13251963, -73198450262]$	\(y^2=x^3-13251963x-73198450262\)	2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?	$[ ]$	$1$
30960.p1	30960bm1	30960.p	30960bm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.305710$	$-10091699281/13932000$	$0.89938$	$3.78745$	$1$	$[0, 0, 0, -6483, 369682]$	\(y^2=x^3-6483x+369682\)	1720.2.0.?	$[ ]$	$1$
30960.q1	30960bo1	30960.q	30960bo	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$884736$	$2.408215$	$660867352100864/8926548046875$	$1.07121$	$5.04237$	$1$	$[0, 0, 0, 261312, 243016112]$	\(y^2=x^3+261312x+243016112\)	86.2.0.?	$[ ]$	$1$
30960.r1	30960u2	30960.r	30960u	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$0.841363170$	$1$		$9$	$36864$	$1.009453$	$30459021867/9245000$	$0.90382$	$3.45761$	$1$	$[0, 0, 0, -3123, 46322]$	\(y^2=x^3-3123x+46322\)	2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.?	$[(89, 688)]$	$1$
30960.r2	30960u1	30960.r	30960u	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1.682726340$	$1$		$7$	$18432$	$0.662880$	$1740992427/68800$	$0.85574$	$3.18084$	$1$	$[0, 0, 0, -1203, -15502]$	\(y^2=x^3-1203x-15502\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-17, 6)]$	$1$
30960.s1	30960bn2	30960.s	30960bn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.495760$	$1481933914201/53916840$	$0.91933$	$4.15202$	$1$	$[0, 0, 0, -34203, -2356918]$	\(y^2=x^3-34203x-2356918\)	2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?	$[ ]$	$1$
30960.s2	30960bn1	30960.s	30960bn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.149185$	$5841725401/1857600$	$1.01588$	$3.61664$	$1$	$[0, 0, 0, -5403, 102602]$	\(y^2=x^3-5403x+102602\)	2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?	$[ ]$	$1$
30960.t1	30960t2	30960.t	30960t	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{21} \cdot 3^{9} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$3.470296301$	$1$		$3$	$663552$	$2.475101$	$3940344055317123/369800000000$	$1.01744$	$5.23336$	$1$	$[0, 0, 0, -1421523, 597112722]$	\(y^2=x^3-1421523x+597112722\)	2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.?	$[(3033, 155520)]$	$1$
30960.t2	30960t1	30960.t	30960t	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{30} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$6.940592603$	$1$		$1$	$331776$	$2.128529$	$43121696645763/7045120000$	$0.99588$	$4.79673$	$1$	$[0, 0, 0, -315603, -57813102]$	\(y^2=x^3-315603x-57813102\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-6201/5, 285282/5)]$	$1$
30960.u1	30960be1	30960.u	30960be	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.100421673$	$1$		$4$	$98304$	$1.449886$	$-43304636317696/176326875$	$0.98881$	$4.21095$	$1$	$[0, 0, 0, -41808, 3301868]$	\(y^2=x^3-41808x+3301868\)	86.2.0.?	$[(94, 450)]$	$1$
30960.v1	30960bg1	30960.v	30960bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$1.412937771$	$1$		$2$	$30720$	$0.973406$	$437245479/268750$	$0.92772$	$3.36595$	$1$	$[0, 0, 0, 2277, -10422]$	\(y^2=x^3+2277x-10422\)	1720.2.0.?	$[(21, 216)]$	$1$
30960.w1	30960bh1	30960.w	30960bh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{65} \cdot 3^{14} \cdot 5^{9} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1720$	$2$	$0$	$120.4793189$	$1$		$0$	$205148160$	$5.236923$	$192203697666261893287480365959/4963160303408775168000000000$	$1.09175$	$8.32781$	$1$	$[0, 0, 0, 17313113157, -5791074962949142]$	\(y^2=x^3+17313113157x-5791074962949142\)	1720.2.0.?	$[(2181027042449684377510415706448124200613444733588651698029/49398215478043577533923617, 102545506629820987078051101903766507214900284965584425641630312101229007919967583076352/49398215478043577533923617)]$	$1$
30960.x1	30960bp1	30960.x	30960bp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$61440$	$1.054899$	$99897344/783675$	$0.89128$	$3.46786$	$1$	$[0, 0, 0, 1392, 70832]$	\(y^2=x^3+1392x+70832\)	86.2.0.?	$[ ]$	$1$
30960.y1	30960v2	30960.y	30960v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.880268456$	$1$		$5$	$16384$	$0.585553$	$2315685267/9245$	$1.00157$	$3.20843$	$1$	$[0, 0, 0, -1323, 18458]$	\(y^2=x^3-1323x+18458\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(23, 14)]$	$1$
30960.y2	30960v1	30960.y	30960v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.940134228$	$1$		$7$	$8192$	$0.238980$	$1860867/1075$	$0.91503$	$2.51925$	$1$	$[0, 0, 0, -123, -22]$	\(y^2=x^3-123x-22\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-1, 10)]$	$1$
30960.z1	30960s4	30960.z	30960s	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$16$	$2$	$1$	$1327104$	$2.783176$	$206956783279200843/12642726098000$	$1.00241$	$5.61644$	$1$	$[0, 0, 0, -5323563, -4471229862]$	\(y^2=x^3-5323563x-4471229862\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$	$[ ]$	$1$
30960.z2	30960s2	30960.z	30960s	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{24} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$16$	$2$	$1$	$442368$	$2.233871$	$144118734029937784467/37867520$	$1.02674$	$5.61202$	$1$	$[0, 0, 0, -5242923, -4620705958]$	\(y^2=x^3-5242923x-4620705958\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[ ]$	$1$
30960.z3	30960s3	30960.z	30960s	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$4$	$2$	$1$	$663552$	$2.436604$	$1386456968640843/318028000000$	$0.98288$	$5.13235$	$1$	$[0, 0, 0, -1003563, 300642138]$	\(y^2=x^3-1003563x+300642138\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.s.1.13, $\ldots$	$[ ]$	$1$
30960.z4	30960s1	30960.z	30960s	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$4$	$2$	$1$	$221184$	$1.887297$	$35198225176082067/18035507200$	$0.99251$	$4.80766$	$1$	$[0, 0, 0, -327723, -72179878]$	\(y^2=x^3-327723x-72179878\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.s.1.14, $\ldots$	$[ ]$	$1$

  Download displayed columns for results to