| 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 |
| 390720.a1 |
390720a1 |
390720.a |
390720a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$48840$ |
$2$ |
$0$ |
$13.12342818$ |
$1$ |
|
$0$ |
$10321920$ |
$2.205818$ |
$50762677672633682/12569527265625$ |
$0.93018$ |
$3.90264$ |
$[0, -1, 0, -391841, -71279295]$ |
\(y^2=x^3-x^2-391841x-71279295\) |
48840.2.0.? |
$[(-543281/43, 341048144/43)]$ |
| 390720.b1 |
390720b1 |
390720.b |
390720b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.155291$ |
$-178869124096/440603955$ |
$0.85311$ |
$2.89486$ |
$[0, -1, 0, -2981, -142659]$ |
\(y^2=x^3-x^2-2981x-142659\) |
1110.2.0.? |
$[]$ |
| 390720.c1 |
390720c3 |
390720.c |
390720c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 11^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$16280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17301504$ |
$2.449284$ |
$2572266418624258630564/1974558465$ |
$0.97113$ |
$4.69017$ |
$[0, -1, 0, -11508641, 15031248321]$ |
\(y^2=x^3-x^2-11508641x+15031248321\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 88.24.0.?, 370.6.0.?, $\ldots$ |
$[]$ |
| 390720.c2 |
390720c4 |
390720.c |
390720c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{24} \cdot 5 \cdot 11 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$16280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$17301504$ |
$2.449284$ |
$1158793322227536964/574744106738835$ |
$0.95861$ |
$4.09174$ |
$[0, -1, 0, -882241, 120881761]$ |
\(y^2=x^3-x^2-882241x+120881761\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 1480.24.0.?, $\ldots$ |
$[]$ |
| 390720.c3 |
390720c2 |
390720.c |
390720c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \cdot 11^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$16280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8650752$ |
$2.102707$ |
$2513563890164159056/2200816755225$ |
$0.93374$ |
$4.04422$ |
$[0, -1, 0, -719441, 234939441]$ |
\(y^2=x^3-x^2-719441x+234939441\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.b.1, 88.24.0.?, 740.12.0.?, $\ldots$ |
$[]$ |
| 390720.c4 |
390720c1 |
390720.c |
390720c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 11 \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$16280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4325376$ |
$1.756134$ |
$-4607254207952896/9393060661875$ |
$0.93870$ |
$3.45666$ |
$[0, -1, 0, -34941, 5358141]$ |
\(y^2=x^3-x^2-34941x+5358141\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 390720.d1 |
390720d1 |
390720.d |
390720d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{15} \cdot 5 \cdot 11^{5} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8985600$ |
$2.362411$ |
$-5287766924112949456/427517576932545$ |
$0.93917$ |
$4.11213$ |
$[0, -1, 0, -921841, 363995665]$ |
\(y^2=x^3-x^2-921841x+363995665\) |
24420.2.0.? |
$[]$ |
| 390720.e1 |
390720e4 |
390720.e |
390720e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$16280$ |
$48$ |
$0$ |
$6.581947428$ |
$4$ |
$2$ |
$3$ |
$3145728$ |
$1.842117$ |
$141454150870471921/13351635$ |
$1.00295$ |
$4.03607$ |
$[0, -1, 0, -694721, -222644799]$ |
\(y^2=x^3-x^2-694721x-222644799\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 1480.24.0.?, $\ldots$ |
$[(963, 684)]$ |
| 390720.e2 |
390720e2 |
390720.e |
390720e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$16280$ |
$48$ |
$0$ |
$3.290973714$ |
$1$ |
|
$9$ |
$1572864$ |
$1.495543$ |
$34776859950721/335439225$ |
$0.96114$ |
$3.39061$ |
$[0, -1, 0, -43521, -3450879]$ |
\(y^2=x^3-x^2-43521x-3450879\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.b.1, 88.24.0.?, 740.12.0.?, $\ldots$ |
$[(-120, 171)]$ |
| 390720.e3 |
390720e3 |
390720.e |
390720e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$16280$ |
$48$ |
$0$ |
$6.581947428$ |
$1$ |
|
$3$ |
$3145728$ |
$1.842117$ |
$-700463661841/115963711875$ |
$0.94183$ |
$3.52689$ |
$[0, -1, 0, -11841, -8399295]$ |
\(y^2=x^3-x^2-11841x-8399295\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 44.12.0.g.1, $\ldots$ |
$[(584, 13547)]$ |
| 390720.e4 |
390720e1 |
390720.e |
390720e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{18} \cdot 3^{2} \cdot 5 \cdot 11^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$16280$ |
$48$ |
$0$ |
$1.645486857$ |
$1$ |
|
$5$ |
$786432$ |
$1.148970$ |
$46694890801/24377265$ |
$0.85538$ |
$2.87700$ |
$[0, -1, 0, -4801, 41665]$ |
\(y^2=x^3-x^2-4801x+41665\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 88.24.0.?, 370.6.0.?, $\ldots$ |
$[(1, 192)]$ |
| 390720.f1 |
390720f3 |
390720.f |
390720f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2523136$ |
$1.670691$ |
$254382148753928/91843259805$ |
$0.89264$ |
$3.38365$ |
$[0, -1, 0, -42241, 2063425]$ |
\(y^2=x^3-x^2-42241x+2063425\) |
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, $\ldots$ |
$[]$ |
| 390720.f2 |
390720f2 |
390720.f |
390720f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1261568$ |
$1.324118$ |
$158551244818624/4509794025$ |
$0.89798$ |
$3.18544$ |
$[0, -1, 0, -18041, -903495]$ |
\(y^2=x^3-x^2-18041x-903495\) |
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, 444.12.0.?, $\ldots$ |
$[]$ |
| 390720.f3 |
390720f1 |
390720.f |
390720f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$630784$ |
$0.977544$ |
$9937820310319936/8394375$ |
$0.92688$ |
$3.18382$ |
$[0, -1, 0, -17916, -917070]$ |
\(y^2=x^3-x^2-17916x-917070\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 444.12.0.?, $\ldots$ |
$[]$ |
| 390720.f4 |
390720f4 |
390720.f |
390720f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{15} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2523136$ |
$1.670691$ |
$242737073272/118969178955$ |
$0.93871$ |
$3.36702$ |
$[0, -1, 0, 4159, -3003615]$ |
\(y^2=x^3-x^2+4159x-3003615\) |
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, $\ldots$ |
$[]$ |
| 390720.g1 |
390720g1 |
390720.g |
390720g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{5} \cdot 11^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1128960$ |
$1.313742$ |
$-5620383606454336/336572465625$ |
$0.90663$ |
$3.14720$ |
$[0, -1, 0, -14816, 734130]$ |
\(y^2=x^3-x^2-14816x+734130\) |
24420.2.0.? |
$[]$ |
| 390720.h1 |
390720h4 |
390720.h |
390720h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 11^{12} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$84934656$ |
$3.333099$ |
$904016362874564549207524/2900143202218458075$ |
$0.99180$ |
$5.14545$ |
$[0, -1, 0, -81216481, -280908838175]$ |
\(y^2=x^3-x^2-81216481x-280908838175\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 390720.h2 |
390720h3 |
390720.h |
390720h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$84934656$ |
$3.333099$ |
$837210937968673600979524/3155699353388974425$ |
$0.99156$ |
$5.13949$ |
$[0, -1, 0, -79164481, 270250866625]$ |
\(y^2=x^3-x^2-79164481x+270250866625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 390720.h3 |
390720h2 |
390720.h |
390720h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$42467328$ |
$2.986526$ |
$2615606330494895974096/1512761812655630625$ |
$1.09421$ |
$4.58380$ |
$[0, -1, 0, -7290481, -182245775]$ |
\(y^2=x^3-x^2-7290481x-182245775\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[]$ |
| 390720.h4 |
390720h1 |
390720.h |
390720h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 11^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21233664$ |
$2.639950$ |
$653254216438529214464/378265379804296875$ |
$1.06716$ |
$4.26072$ |
$[0, -1, 0, 1822019, -23688275]$ |
\(y^2=x^3-x^2+1822019x-23688275\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[]$ |
| 390720.i1 |
390720i4 |
390720.i |
390720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3 \cdot 5^{2} \cdot 11^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9768$ |
$48$ |
$0$ |
$4.594856300$ |
$1$ |
|
$3$ |
$1966080$ |
$1.641665$ |
$22453096149505444/40628775$ |
$0.91506$ |
$3.78546$ |
$[0, -1, 0, -236961, -44319039]$ |
\(y^2=x^3-x^2-236961x-44319039\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 88.24.0.?, 444.12.0.?, $\ldots$ |
$[(808, 17061)]$ |
| 390720.i2 |
390720i2 |
390720.i |
390720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$9768$ |
$48$ |
$0$ |
$2.297428150$ |
$1$ |
|
$9$ |
$983040$ |
$1.295090$ |
$22605528749776/931775625$ |
$0.91008$ |
$3.14182$ |
$[0, -1, 0, -14961, -673839]$ |
\(y^2=x^3-x^2-14961x-673839\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.b.1, 88.24.0.?, 444.12.0.?, $\ldots$ |
$[(-75, 144)]$ |
| 390720.i3 |
390720i1 |
390720.i |
390720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{10} \cdot 3 \cdot 5^{8} \cdot 11 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$9768$ |
$48$ |
$0$ |
$4.594856300$ |
$1$ |
|
$3$ |
$491520$ |
$0.948517$ |
$1610404796416/476953125$ |
$0.85981$ |
$2.72132$ |
$[0, -1, 0, -2461, 33661]$ |
\(y^2=x^3-x^2-2461x+33661\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 888.24.0.?, $\ldots$ |
$[(185, 2424)]$ |
| 390720.i4 |
390720i3 |
390720.i |
390720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 11 \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9768$ |
$48$ |
$0$ |
$4.594856300$ |
$1$ |
|
$3$ |
$1966080$ |
$1.641665$ |
$588457330556/41746936275$ |
$0.91830$ |
$3.33897$ |
$[0, -1, 0, 7039, -2508639]$ |
\(y^2=x^3-x^2+7039x-2508639\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 44.12.0.g.1, $\ldots$ |
$[(200, 2619)]$ |
| 390720.j1 |
390720j1 |
390720.j |
390720j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$48840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$0.667890$ |
$-94875856/1373625$ |
$0.78443$ |
$2.43333$ |
$[0, -1, 0, -241, 7441]$ |
\(y^2=x^3-x^2-241x+7441\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 24420.8.0.?, 48840.16.0.? |
$[]$ |
| 390720.j2 |
390720j2 |
390720.j |
390720j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$48840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$1.217196$ |
$67898554544/1011287145$ |
$0.86193$ |
$2.93992$ |
$[0, -1, 0, 2159, -192719]$ |
\(y^2=x^3-x^2+2159x-192719\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 24420.8.0.?, 48840.16.0.? |
$[]$ |
| 390720.k1 |
390720k1 |
390720.k |
390720k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$48840$ |
$2$ |
$0$ |
$4.486538739$ |
$1$ |
|
$2$ |
$1806336$ |
$1.499537$ |
$23300532400328/13462898625$ |
$0.95351$ |
$3.19801$ |
$[0, -1, 0, -19041, -33759]$ |
\(y^2=x^3-x^2-19041x-33759\) |
48840.2.0.? |
$[(-97, 944)]$ |
| 390720.l1 |
390720l1 |
390720.l |
390720l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 11^{17} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4070$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87736320$ |
$3.508327$ |
$426753746270989906018304/841569302451324128715$ |
$1.04174$ |
$5.04772$ |
$[0, -1, 0, 39837419, 150156483661]$ |
\(y^2=x^3-x^2+39837419x+150156483661\) |
4070.2.0.? |
$[]$ |
| 390720.m1 |
390720m1 |
390720.m |
390720m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{9} \cdot 11 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$48840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9289728$ |
$2.245720$ |
$214965934543825921/3476988281250$ |
$0.93566$ |
$4.06857$ |
$[0, -1, 0, -798721, 271151521]$ |
\(y^2=x^3-x^2-798721x+271151521\) |
48840.2.0.? |
$[]$ |
| 390720.n1 |
390720n1 |
390720.n |
390720n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{4} \cdot 11 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288000$ |
$2.615234$ |
$8104841223917104804/4286366682035625$ |
$0.97325$ |
$4.24281$ |
$[0, -1, 0, -1687201, 248107201]$ |
\(y^2=x^3-x^2-1687201x+248107201\) |
2.3.0.a.1, 66.6.0.a.1, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 390720.n2 |
390720n2 |
390720.n |
390720n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{8} \cdot 11^{2} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576000$ |
$2.961807$ |
$222980293060169780158/141371909623828125$ |
$0.99034$ |
$4.55408$ |
$[0, -1, 0, 6417279, 1932218145]$ |
\(y^2=x^3-x^2+6417279x+1932218145\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 390720.o1 |
390720o1 |
390720.o |
390720o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8140$ |
$12$ |
$0$ |
$0.994887104$ |
$1$ |
|
$7$ |
$1916928$ |
$1.537365$ |
$39209618333914576/16318665$ |
$0.91001$ |
$3.72109$ |
$[0, -1, 0, -179761, 29395345]$ |
\(y^2=x^3-x^2-179761x+29395345\) |
2.3.0.a.1, 44.6.0.c.1, 370.6.0.?, 8140.12.0.? |
$[(229, 432)]$ |
| 390720.o2 |
390720o2 |
390720.o |
390720o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8140$ |
$12$ |
$0$ |
$1.989774208$ |
$1$ |
|
$5$ |
$3833856$ |
$1.883938$ |
$-9659148689661124/200074250475$ |
$0.91041$ |
$3.72267$ |
$[0, -1, 0, -178881, 29696481]$ |
\(y^2=x^3-x^2-178881x+29696481\) |
2.3.0.a.1, 22.6.0.a.1, 740.6.0.?, 8140.12.0.? |
$[(240, 729)]$ |
| 390720.p1 |
390720p1 |
390720.p |
390720p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{26} \cdot 3^{5} \cdot 5^{5} \cdot 11 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24420$ |
$2$ |
$0$ |
$2.261509031$ |
$1$ |
|
$2$ |
$3072000$ |
$1.810453$ |
$-789145184521/79120800000$ |
$0.93498$ |
$3.49738$ |
$[0, -1, 0, -12321, 6953121]$ |
\(y^2=x^3-x^2-12321x+6953121\) |
24420.2.0.? |
$[(89, 2560)]$ |
| 390720.q1 |
390720q1 |
390720.q |
390720q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{6} \cdot 5 \cdot 11^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8140$ |
$12$ |
$0$ |
$0.798344696$ |
$1$ |
|
$7$ |
$2506752$ |
$1.825739$ |
$34780972302198736/238921574265$ |
$0.90940$ |
$3.71178$ |
$[0, -1, 0, -172721, 27522225]$ |
\(y^2=x^3-x^2-172721x+27522225\) |
2.3.0.a.1, 44.6.0.c.1, 370.6.0.?, 8140.12.0.? |
$[(104, 3267)]$ |
| 390720.q2 |
390720q2 |
390720.q |
390720q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 11^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8140$ |
$12$ |
$0$ |
$1.596689393$ |
$1$ |
|
$7$ |
$5013504$ |
$2.172314$ |
$-490490926752964/24208984307475$ |
$1.03830$ |
$3.83469$ |
$[0, -1, 0, -66241, 60978241]$ |
\(y^2=x^3-x^2-66241x+60978241\) |
2.3.0.a.1, 22.6.0.a.1, 740.6.0.?, 8140.12.0.? |
$[(280, 8019)]$ |
| 390720.r1 |
390720r1 |
390720.r |
390720r |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$4.255987077$ |
$1$ |
|
$2$ |
$7225344$ |
$2.172615$ |
$149671228591898624/86728531458195$ |
$1.06371$ |
$3.82512$ |
$[0, -1, 0, 280939, 1978701]$ |
\(y^2=x^3-x^2+280939x+1978701\) |
1110.2.0.? |
$[(84, 5115)]$ |
| 390720.s1 |
390720s1 |
390720.s |
390720s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1.366124133$ |
$1$ |
|
$5$ |
$212992$ |
$0.619578$ |
$27108144064/1129425$ |
$0.78723$ |
$2.51177$ |
$[0, -1, 0, -1001, -11415]$ |
\(y^2=x^3-x^2-1001x-11415\) |
2.3.0.a.1, 66.6.0.a.1, 296.6.0.?, 9768.12.0.? |
$[(-17, 20)]$ |
| 390720.s2 |
390720s2 |
390720.s |
390720s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$2.732248267$ |
$1$ |
|
$5$ |
$425984$ |
$0.966152$ |
$370146232/25183125$ |
$0.84600$ |
$2.70936$ |
$[0, -1, 0, 479, -43679]$ |
\(y^2=x^3-x^2+479x-43679\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(64, 495)]$ |
| 390720.t1 |
390720t1 |
390720.t |
390720t |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{22} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$0.681477$ |
$46268279/97680$ |
$0.76992$ |
$2.41543$ |
$[0, -1, 0, 479, -6719]$ |
\(y^2=x^3-x^2+479x-6719\) |
24420.2.0.? |
$[]$ |
| 390720.u1 |
390720u2 |
390720.u |
390720u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3 \cdot 5^{4} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$4.932770291$ |
$1$ |
|
$1$ |
$516096$ |
$0.860533$ |
$54108072016/8394375$ |
$0.79676$ |
$2.67311$ |
$[0, -1, 0, -2001, -28815]$ |
\(y^2=x^3-x^2-2001x-28815\) |
2.3.0.a.1, 44.6.0.c.1, 444.6.0.?, 4884.12.0.? |
$[(472/3, 2375/3)]$ |
| 390720.u2 |
390720u1 |
390720.u |
390720u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$2.466385145$ |
$1$ |
|
$3$ |
$258048$ |
$0.513959$ |
$1129201664/3388275$ |
$0.82641$ |
$2.26843$ |
$[0, -1, 0, 219, -2619]$ |
\(y^2=x^3-x^2+219x-2619\) |
2.3.0.a.1, 22.6.0.a.1, 444.6.0.?, 4884.12.0.? |
$[(36, 225)]$ |
| 390720.v1 |
390720v1 |
390720.v |
390720v |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 11^{5} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4070$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$1.976395$ |
$-301001704907776/9177430840875$ |
$0.95312$ |
$3.65224$ |
$[0, -1, 0, -35461, -18820835]$ |
\(y^2=x^3-x^2-35461x-18820835\) |
4070.2.0.? |
$[]$ |
| 390720.w1 |
390720w1 |
390720.w |
390720w |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{23} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$48840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.499912$ |
$60425492474521/212747040$ |
$0.88513$ |
$3.43352$ |
$[0, -1, 0, -52321, -4574975]$ |
\(y^2=x^3-x^2-52321x-4574975\) |
48840.2.0.? |
$[]$ |
| 390720.x1 |
390720x3 |
390720.x |
390720x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{2} \cdot 11^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16515072$ |
$2.750717$ |
$3487605307056720495001/5686728379200$ |
$0.97748$ |
$4.82148$ |
$[0, -1, 0, -20220001, 35002809601]$ |
\(y^2=x^3-x^2-20220001x+35002809601\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 74.6.0.?, 88.24.0.?, $\ldots$ |
$[]$ |
| 390720.x2 |
390720x4 |
390720.x |
390720x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{8} \cdot 11 \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16515072$ |
$2.750717$ |
$15209507008787085721/4638548475000000$ |
$1.00619$ |
$4.39936$ |
$[0, -1, 0, -3303521, -1588339455]$ |
\(y^2=x^3-x^2-3303521x-1588339455\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0.h.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 390720.x3 |
390720x2 |
390720.x |
390720x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{30} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.404144$ |
$876470240549871001/34348976640000$ |
$0.94317$ |
$4.17773$ |
$[0, -1, 0, -1276001, 536096001]$ |
\(y^2=x^3-x^2-1276001x+536096001\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.a.1, 88.24.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 390720.x4 |
390720x1 |
390720.x |
390720x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{42} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.057568$ |
$17655210697319/1536373555200$ |
$0.95134$ |
$3.72679$ |
$[0, -1, 0, 34719, 30420225]$ |
\(y^2=x^3-x^2+34719x+30420225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 296.24.0.?, $\ldots$ |
$[]$ |
| 390720.y1 |
390720y1 |
390720.y |
390720y |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{7} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.592875$ |
$87585746345984/84993046875$ |
$0.92154$ |
$3.24701$ |
$[0, -1, 0, 23499, -1148499]$ |
\(y^2=x^3-x^2+23499x-1148499\) |
1110.2.0.? |
$[]$ |
| 390720.z1 |
390720z2 |
390720.z |
390720z |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 37 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 11 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$4.089910015$ |
$1$ |
|
$3$ |
$983040$ |
$1.319227$ |
$55978482795856/762361875$ |
$0.91630$ |
$3.21224$ |
$[0, -1, 0, -20241, -1088559]$ |
\(y^2=x^3-x^2-20241x-1088559\) |
2.3.0.a.1, 44.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[(-80, 111)]$ |
