Elliptic curves over Q\Q of conductor 3120

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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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3120.a1	3120o3	3120.a	3120o	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{17} \cdot 3 \cdot 5^{4} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$120$	$48$	$0$	$1$	$1$		$1$	$30720$	$1.890411$	$71647584155243142409/10140000$	$1.03753$	$6.71623$	$[0, -1, 0, -1384456, -626537744]$	$y^2=x^3-x^2-1384456x-626537744$	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, $\ldots$	$[]$
3120.a2	3120o4	3120.a	3120o	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{17} \cdot 3^{4} \cdot 5 \cdot 13^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$120$	$48$	$0$	$1$	$1$		$1$	$30720$	$1.890411$	$26465989780414729/10571870144160$	$1.02500$	$5.73388$	$[0, -1, 0, -99336, -6673680]$	$y^2=x^3-x^2-99336x-6673680$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 24.24.0-24.y.1.16, $\ldots$	$[]$
3120.a3	3120o2	3120.a	3120o	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$		$3$	$15360$	$1.543837$	$17496824387403529/6580454400$	$1.00721$	$5.68244$	$[0, -1, 0, -86536, -9766160]$	$y^2=x^3-x^2-86536x-9766160$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.3, $\ldots$	$[]$
3120.a4	3120o1	3120.a	3120o	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{32} \cdot 3 \cdot 5 \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$120$	$48$	$0$	$1$	$1$		$1$	$7680$	$1.197264$	$-2656166199049/2658140160$	$0.97703$	$4.71435$	$[0, -1, 0, -4616, -197904]$	$y^2=x^3-x^2-4616x-197904$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$	$[]$
3120.b1	3120q4	3120.b	3120q	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 13^{6}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$0.343106291$	$1$		$11$	$6912$	$1.372971$	$189208196468929/10860320250$	$0.98694$	$5.11978$	$[0, -1, 0, -19136, 973440]$	$y^2=x^3-x^2-19136x+973440$	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, $\ldots$	$[(104, 312)]$
3120.b2	3120q2	3120.b	3120q	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1.029318873$	$1$		$7$	$2304$	$0.823665$	$967068262369/4928040$	$0.95296$	$4.46397$	$[0, -1, 0, -3296, -71424]$	$y^2=x^3-x^2-3296x-71424$	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, $\ldots$	$[(-32, 16)]$
3120.b3	3120q1	3120.b	3120q	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$2.058637746$	$1$		$5$	$1152$	$0.477091$	$-24137569/561600$	$1.08140$	$3.60888$	$[0, -1, 0, -96, -2304]$	$y^2=x^3-x^2-96x-2304$	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, $\ldots$	$[(26, 110)]$
3120.b4	3120q3	3120.b	3120q	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{14} \cdot 3 \cdot 5^{6} \cdot 13^{3}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$0.686212582$	$1$		$7$	$3456$	$1.026398$	$17394111071/411937500$	$1.08898$	$4.42281$	$[0, -1, 0, 864, 61440]$	$y^2=x^3-x^2+864x+61440$	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, $\ldots$	$[(-16, 208)]$
3120.c1	3120a3	3120.c	3120a	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 13^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$520$	$48$	$0$	$1.198913471$	$1$		$7$	$6144$	$1.320562$	$52337949619538/23423590125$	$0.99759$	$4.87390$	$[0, -1, 0, -9896, 183696]$	$y^2=x^3-x^2-9896x+183696$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[(8, 324)]$
3120.c2	3120a2	3120.c	3120a	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$520$	$48$	$0$	$2.397826943$	$1$		$9$	$3072$	$0.973989$	$12677589459076/213890625$	$1.04517$	$4.61151$	$[0, -1, 0, -4896, -128304]$	$y^2=x^3-x^2-4896x-128304$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 52.12.0-2.a.1.1, $\ldots$	$[(-40, 44)]$
3120.c3	3120a1	3120.c	3120a	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$520$	$48$	$0$	$4.795653886$	$1$		$3$	$1536$	$0.627416$	$50091484483024/14625$	$1.04455$	$4.60999$	$[0, -1, 0, -4876, -129440]$	$y^2=x^3-x^2-4876x-129440$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$	$[(81, 22)]$
3120.c4	3120a4	3120.c	3120a	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{11} \cdot 3^{2} \cdot 5^{12} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$520$	$48$	$0$	$4.795653886$	$1$		$3$	$6144$	$1.320562$	$-546718898/28564453125$	$1.10685$	$4.86661$	$[0, -1, 0, -216, -367920]$	$y^2=x^3-x^2-216x-367920$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 52.12.0-4.c.1.2, $\ldots$	$[(194, 2618)]$
3120.d1	3120m1	3120.d	3120m	$1$	$1$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$3360$	$0.818000$	$-32278933504/27421875$	$0.96372$	$4.15369$	$[0, -1, 0, -1061, 21261]$	$y^2=x^3-x^2-1061x+21261$	390.2.0.?	$[]$
3120.e1	3120p2	3120.e	3120p	$2$	$3$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3 \cdot 5^{3} \cdot 13^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$0.270963723$	$1$		$6$	$864$	$0.323000$	$-4684079104/823875$	$0.93879$	$3.48986$	$[0, -1, 0, -221, 1521]$	$y^2=x^3-x^2-221x+1521$	3.4.0.a.1, 12.8.0-3.a.1.2, 390.8.0.?, 780.16.0.?	$[(13, 26)]$
3120.e2	3120p1	3120.e	3120p	$2$	$3$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3^{3} \cdot 5 \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$0.812891171$	$1$		$4$	$288$	$-0.226306$	$2809856/1755$	$0.89795$	$2.53478$	$[0, -1, 0, 19, -15]$	$y^2=x^3-x^2+19x-15$	3.4.0.a.1, 12.8.0-3.a.1.1, 390.8.0.?, 780.16.0.?	$[(1, 2)]$
3120.f1	3120b1	3120.f	3120b	$1$	$1$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3^{11} \cdot 5 \cdot 13^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$10560$	$1.359739$	$396555344454656/328867205355$	$1.02213$	$4.86714$	$[0, -1, 0, 9719, -245915]$	$y^2=x^3-x^2+9719x-245915$	390.2.0.?	$[]$
3120.g1	3120n1	3120.g	3120n	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$520$	$48$	$0$	$1$	$1$		$1$	$768$	$0.135119$	$3718856704/2132325$	$1.07236$	$3.08359$	$[0, -1, 0, -81, 0]$	$y^2=x^3-x^2-81x$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
3120.g2	3120n2	3120.g	3120n	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$520$	$48$	$0$	$1$	$1$		$1$	$1536$	$0.481692$	$14647977776/8555625$	$0.99143$	$3.59859$	$[0, -1, 0, 324, -324]$	$y^2=x^3-x^2+324x-324$	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[]$
3120.h1	3120c3	3120.h	3120c	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{10} \cdot 3 \cdot 5^{2} \cdot 13^{4}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$312$	$48$	$0$	$1$	$1$		$3$	$3072$	$0.645320$	$490757540836/2142075$	$0.93734$	$4.20736$	$[0, -1, 0, -1656, 26400]$	$y^2=x^3-x^2-1656x+26400$	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?	$[]$
3120.h2	3120c2	3120.h	3120c	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$156$	$48$	$0$	$1$	$1$		$3$	$1536$	$0.298747$	$1650587344/950625$	$0.98820$	$3.32724$	$[0, -1, 0, -156, 0]$	$y^2=x^3-x^2-156x$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.?	$[]$
3120.h3	3120c1	3120.h	3120c	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$312$	$48$	$0$	$1$	$1$		$1$	$768$	$-0.047827$	$9538484224/26325$	$0.91841$	$3.20066$	$[0, -1, 0, -111, -414]$	$y^2=x^3-x^2-111x-414$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$	$[]$
3120.h4	3120c4	3120.h	3120c	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{10} \cdot 3 \cdot 5^{8} \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$1$		$1$	$3072$	$0.645320$	$26198797244/15234375$	$1.02140$	$3.84316$	$[0, -1, 0, 624, -624]$	$y^2=x^3-x^2+624x-624$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[]$
3120.i1	3120f3	3120.i	3120f	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.39	2B	$1040$	$192$	$3$	$2.947029457$	$1$		$7$	$12288$	$1.592100$	$19129597231400697604/26325$	$1.02876$	$6.37980$	$[0, -1, 0, -561600, 162177552]$	$y^2=x^3-x^2-561600x+162177552$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.i.1.1, 26.6.0.b.1, $\ldots$	$[(449, 580)]$
3120.i2	3120f2	3120.i	3120f	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.39	2Cs	$520$	$192$	$3$	$1.473514728$	$1$		$9$	$6144$	$1.245527$	$18681746265374416/693005625$	$1.11967$	$5.34597$	$[0, -1, 0, -35100, 2542752]$	$y^2=x^3-x^2-35100x+2542752$	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 52.48.0-52.b.1.1, 104.96.1.?, $\ldots$	$[(104, 80)]$
3120.i3	3120f4	3120.i	3120f	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13^{4}$	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.2	2B	$1040$	$192$	$3$	$0.736757364$	$1$		$15$	$12288$	$1.592100$	$-4053153720264484/903687890625$	$0.99872$	$5.36886$	$[0, -1, 0, -33480, 2786400]$	$y^2=x^3-x^2-33480x+2786400$	2.3.0.a.1, 4.48.0-4.c.1.1, 104.96.1.?, 1040.192.3.?	$[(45, 1170)]$
3120.i4	3120f1	3120.i	3120f	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.55	2B	$1040$	$192$	$3$	$2.947029457$	$1$		$3$	$3072$	$0.898953$	$83587439220736/13990184325$	$1.00034$	$4.32902$	$[0, -1, 0, -2295, 36450]$	$y^2=x^3-x^2-2295x+36450$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.i.1.3, 26.6.0.b.1, $\ldots$	$[(10, 120)]$
3120.j1	3120s4	3120.j	3120s	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{27} \cdot 3^{6} \cdot 5 \cdot 13^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$103680$	$2.698532$	$73474353581350183614361/576510977802240$	$1.05636$	$7.57794$	$[0, -1, 0, -13961240, 20083149552]$	$y^2=x^3-x^2-13961240x+20083149552$	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, $\ldots$	$[]$
3120.j2	3120s3	3120.j	3120s	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$51840$	$2.351959$	$-16818951115904497561/1592332281446400$	$1.03465$	$6.55494$	$[0, -1, 0, -854040, 327977712]$	$y^2=x^3-x^2-854040x+327977712$	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, $\ldots$	$[]$
3120.j3	3120s2	3120.j	3120s	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{17} \cdot 3^{18} \cdot 5^{3} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$34560$	$2.149227$	$453198971846635561/261896250564000$	$1.11183$	$6.08692$	$[0, -1, 0, -256040, -1791888]$	$y^2=x^3-x^2-256040x-1791888$	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, $\ldots$	$[]$
3120.j4	3120s1	3120.j	3120s	$4$	$6$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{22} \cdot 3^{9} \cdot 5^{6} \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1560$	$96$	$1$	$1$	$1$		$1$	$17280$	$1.802654$	$7064514799444439/4094064000000$	$1.10261$	$5.56971$	$[0, -1, 0, 63960, -255888]$	$y^2=x^3-x^2+63960x-255888$	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, $\ldots$	$[]$
3120.k1	3120r7	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{12} \cdot 3 \cdot 5^{4} \cdot 13$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.28	2B	$6240$	$768$	$13$	$1$	$4$	$2$	$3$	$24576$	$1.882565$	$242970740812818720001/24375$	$1.04119$	$6.86802$	$[0, -1, 0, -2080000, 1155324352]$	$y^2=x^3-x^2-2080000x+1155324352$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.by.1.3, $\ldots$	$[]$
3120.k2	3120r5	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2}$	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.28	2Cs	$3120$	$768$	$13$	$1$	$1$		$7$	$12288$	$1.535990$	$59319456301170001/594140625$	$1.01234$	$5.83419$	$[0, -1, 0, -130000, 18084352]$	$y^2=x^3-x^2-130000x+18084352$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 24.96.0-24.bb.1.3, 80.96.0.?, $\ldots$	$[]$
3120.k3	3120r8	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{12} \cdot 3 \cdot 5^{16} \cdot 13$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.28	2B	$6240$	$768$	$13$	$1$	$1$		$3$	$24576$	$1.882565$	$-55150149867714721/5950927734375$	$1.01425$	$5.84638$	$[0, -1, 0, -126880, 18990400]$	$y^2=x^3-x^2-126880x+18990400$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.2.3, $\ldots$	$[]$
3120.k4	3120r3	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4}$	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.3	2Cs	$3120$	$768$	$13$	$1$	$1$		$7$	$6144$	$1.189417$	$15551989015681/1445900625$	$0.97384$	$4.80922$	$[0, -1, 0, -8320, 270400]$	$y^2=x^3-x^2-8320x+270400$	2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.11, 40.96.0-40.b.2.2, 104.96.0.?, $\ldots$	$[]$
3120.k5	3120r2	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.35	2Cs	$3120$	$768$	$13$	$1$	$1$		$3$	$3072$	$0.842843$	$168288035761/27720225$	$1.01793$	$4.24664$	$[0, -1, 0, -1840, -25088]$	$y^2=x^3-x^2-1840x-25088$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.i.1.2, 40.96.0-40.bc.2.3, 48.96.0-48.d.1.2, $\ldots$	$[]$
3120.k6	3120r1	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{12} \cdot 3^{4} \cdot 5 \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.44	2B	$6240$	$768$	$13$	$1$	$1$		$1$	$1536$	$0.496270$	$147281603041/5265$	$0.93867$	$4.23007$	$[0, -1, 0, -1760, -27840]$	$y^2=x^3-x^2-1760x-27840$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 40.48.0-40.cb.2.3, $\ldots$	$[]$
3120.k7	3120r4	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{12} \cdot 3^{16} \cdot 5 \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.44	2B	$6240$	$768$	$13$	$1$	$4$	$2$	$1$	$6144$	$1.189417$	$1023887723039/2798036865$	$1.05353$	$4.63443$	$[0, -1, 0, 3360, -145728]$	$y^2=x^3-x^2+3360x-145728$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 40.48.0-40.ca.1.11, $\ldots$	$[]$
3120.k8	3120r6	3120.k	3120r	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{8}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.60	2B	$6240$	$768$	$13$	$1$	$1$		$3$	$12288$	$1.535990$	$24487529386319/183539412225$	$1.01498$	$5.17399$	$[0, -1, 0, 9680, 1264000]$	$y^2=x^3-x^2+9680x+1264000$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 24.96.0-24.be.2.3, 40.96.0-40.bf.1.7, $\ldots$	$[]$
3120.l1	3120e2	3120.l	3120e	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{11} \cdot 3^{2} \cdot 5 \cdot 13^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.639413633$	$1$		$7$	$768$	$0.176619$	$434163602/7605$	$0.87463$	$3.41971$	$[0, -1, 0, -200, -1008]$	$y^2=x^3-x^2-200x-1008$	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-8, 4)]$
3120.l2	3120e1	3120.l	3120e	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{10} \cdot 3 \cdot 5^{2} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.278827266$	$1$		$5$	$384$	$-0.169955$	$-4/975$	$1.04093$	$2.64351$	$[0, -1, 0, 0, -48]$	$y^2=x^3-x^2-48$	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[(8, 20)]$
3120.m1	3120d1	3120.m	3120d	$1$	$1$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$960$	$0.234602$	$-504871936/394875$	$0.89480$	$3.28628$	$[0, -1, 0, -105, -603]$	$y^2=x^3-x^2-105x-603$	390.2.0.?	$[]$
3120.n1	3120t1	3120.n	3120t	$1$	$1$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{12} \cdot 3 \cdot 5 \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$480$	$-0.187438$	$-4096/195$	$0.83662$	$2.61728$	$[0, -1, 0, -5, 45]$	$y^2=x^3-x^2-5x+45$	390.2.0.?	$[]$
3120.o1	3120v2	3120.o	3120v	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{13} \cdot 3^{6} \cdot 5 \cdot 13^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.225607083$	$1$		$13$	$2304$	$0.594104$	$10779215329/1232010$	$1.08676$	$3.90508$	$[0, 1, 0, -736, 6644]$	$y^2=x^3+x^2-736x+6644$	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(2, 72)]$
3120.o2	3120v1	3120.o	3120v	$2$	$2$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.451214167$	$1$		$9$	$1152$	$0.247530$	$6967871/35100$	$0.89079$	$3.24605$	$[0, 1, 0, 64, 564]$	$y^2=x^3+x^2+64x+564$	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[(4, 30)]$
3120.p1	3120h3	3120.p	3120h	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.135611600$	$1$		$7$	$3072$	$0.867657$	$10625310339698/3855735$	$1.18546$	$4.67572$	$[0, 1, 0, -5816, -172620]$	$y^2=x^3+x^2-5816x-172620$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(-44, 6)]$
3120.p2	3120h4	3120.p	3120h	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{11} \cdot 3^{12} \cdot 5 \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$0.283902900$	$1$		$11$	$3072$	$0.867657$	$1481943889298/34543665$	$0.95159$	$4.43087$	$[0, 1, 0, -3016, 61460]$	$y^2=x^3+x^2-3016x+61460$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 52.12.0-4.c.1.2, $\ldots$	$[(26, 36)]$
3120.p3	3120h2	3120.p	3120h	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$0.567805800$	$1$		$17$	$1536$	$0.521083$	$7793764996/3080025$	$0.92131$	$3.69247$	$[0, 1, 0, -416, -1980]$	$y^2=x^3+x^2-416x-1980$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(-8, 30)]$
3120.p4	3120h1	3120.p	3120h	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$- 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.135611600$	$1$		$5$	$768$	$0.174510$	$253012016/219375$	$0.87387$	$3.09413$	$[0, 1, 0, 84, -180]$	$y^2=x^3+x^2+84x-180$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.1, $\ldots$	$[(6, 24)]$
3120.q1	3120u3	3120.q	3120u	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{13} \cdot 3^{2} \cdot 5 \cdot 13^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$520$	$48$	$0$	$1.510835705$	$1$		$5$	$3072$	$0.920179$	$12501706118329/2570490$	$0.96978$	$4.78208$	$[0, 1, 0, -7736, 259284]$	$y^2=x^3+x^2-7736x+259284$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[(52, 18)]$
3120.q2	3120u2	3120.q	3120u	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 13$	$2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$520$	$48$	$0$	$0.755417852$	$1$		$13$	$1536$	$0.573606$	$4165509529/1368900$	$0.92273$	$3.78690$	$[0, 1, 0, -536, 2964]$	$y^2=x^3+x^2-536x+2964$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 52.12.0-2.a.1.1, $\ldots$	$[(4, 30)]$

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