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 |
198744.a1 |
198744bh2 |
198744.a |
198744bh |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$4368$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$21565440$ |
$2.967930$ |
$34909201168/81$ |
$1.02428$ |
$5.29364$ |
$[0, -1, 0, -46541980, -122196677084]$ |
\(y^2=x^3-x^2-46541980x-122196677084\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[ ]$ |
198744.a2 |
198744bh1 |
198744.a |
198744bh |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$4368$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$10782720$ |
$2.621357$ |
$141150208/6561$ |
$1.03967$ |
$4.61467$ |
$[0, -1, 0, -2942515, -1862153684]$ |
\(y^2=x^3-x^2-2942515x-1862153684\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[ ]$ |
198744.b1 |
198744dg1 |
198744.b |
198744dg |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$16.38792174$ |
$1$ |
|
$0$ |
$6806592$ |
$2.389664$ |
$-8479744/27$ |
$0.96700$ |
$4.50312$ |
$[0, -1, 0, -1865985, -983166939]$ |
\(y^2=x^3-x^2-1865985x-983166939\) |
6.2.0.a.1 |
$[(31143865/3, 173803559138/3)]$ |
198744.c1 |
198744df2 |
198744.c |
198744df |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4644864$ |
$2.216961$ |
$94875856/9477$ |
$0.90366$ |
$4.17864$ |
$[0, -1, 0, -499620, -123474924]$ |
\(y^2=x^3-x^2-499620x-123474924\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
198744.c2 |
198744df1 |
198744.c |
198744df |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2322432$ |
$1.870388$ |
$702464/4563$ |
$0.96739$ |
$3.73981$ |
$[0, -1, 0, 38645, -9362744]$ |
\(y^2=x^3-x^2+38645x-9362744\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
198744.d1 |
198744bi1 |
198744.d |
198744bi |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$0.842494258$ |
$1$ |
|
$4$ |
$48384$ |
$0.079792$ |
$7990528/9$ |
$0.96432$ |
$2.26956$ |
$[0, -1, 0, -212, -1119]$ |
\(y^2=x^3-x^2-212x-1119\) |
2.2.0.a.1, 182.6.0.?, 1092.12.0.? |
$[(-8, 1)]$ |
198744.e1 |
198744dh1 |
198744.e |
198744dh |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{6} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$3.264972091$ |
$1$ |
|
$8$ |
$3833856$ |
$2.313046$ |
$69212/81$ |
$0.89849$ |
$4.12250$ |
$[0, -1, 0, 394728, -96644484]$ |
\(y^2=x^3-x^2+394728x-96644484\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[(282, 6084), (13802, 1623076)]$ |
198744.f1 |
198744bj1 |
198744.f |
198744bj |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{7} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.712335789$ |
$1$ |
|
$4$ |
$3096576$ |
$2.145111$ |
$5030912/7371$ |
$0.81422$ |
$3.97285$ |
$[0, -1, 0, 187703, -38801699]$ |
\(y^2=x^3-x^2+187703x-38801699\) |
182.2.0.? |
$[(2791, 149058)]$ |
198744.g1 |
198744di1 |
198744.g |
198744di |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58406400$ |
$3.526588$ |
$34118657010420166912/3486784401$ |
$1.06430$ |
$5.91490$ |
$[0, -1, 0, -582161792, 5406661891149]$ |
\(y^2=x^3-x^2-582161792x+5406661891149\) |
2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[ ]$ |
198744.h1 |
198744bl1 |
198744.h |
198744bl |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$2.763126242$ |
$1$ |
|
$2$ |
$7128576$ |
$2.621784$ |
$163072/81$ |
$0.84817$ |
$4.48805$ |
$[0, -1, 0, -1758332, 338381289]$ |
\(y^2=x^3-x^2-1758332x+338381289\) |
2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[(-1408, 4563)]$ |
198744.i1 |
198744bk1 |
198744.i |
198744bk |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{11} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50319360$ |
$3.421097$ |
$-20380171264/12252303$ |
$0.97705$ |
$5.30792$ |
$[0, -1, 0, -38898617, -133321430451]$ |
\(y^2=x^3-x^2-38898617x-133321430451\) |
182.2.0.? |
$[ ]$ |
198744.j1 |
198744bm1 |
198744.j |
198744bm |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{8} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$397393920$ |
$4.546181$ |
$-3811170500576969572/16129443546333$ |
$1.03111$ |
$6.61325$ |
$[0, -1, 0, -9939388944, 382801519911420]$ |
\(y^2=x^3-x^2-9939388944x+382801519911420\) |
52.2.0.a.1 |
$[ ]$ |
198744.k1 |
198744dj2 |
198744.k |
198744dj |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$6.175607886$ |
$1$ |
|
$3$ |
$5391360$ |
$2.476204$ |
$907924/9$ |
$0.92429$ |
$4.54192$ |
$[0, -1, 0, -2188944, 1236530268]$ |
\(y^2=x^3-x^2-2188944x+1236530268\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-1398, 39528)]$ |
198744.k2 |
198744dj1 |
198744.k |
198744dj |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$12.35121577$ |
$1$ |
|
$1$ |
$2695680$ |
$2.129627$ |
$-16/3$ |
$0.96944$ |
$4.00512$ |
$[0, -1, 0, -35884, 47179924]$ |
\(y^2=x^3-x^2-35884x+47179924\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(-227690/27, 103820536/27)]$ |
198744.l1 |
198744dk1 |
198744.l |
198744dk |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$395136$ |
$1.317247$ |
$-10192/3$ |
$0.70538$ |
$3.26029$ |
$[0, -1, 0, -10404, -498252]$ |
\(y^2=x^3-x^2-10404x-498252\) |
6.2.0.a.1 |
$[ ]$ |
198744.m1 |
198744bn1 |
198744.m |
198744bn |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9906624$ |
$2.741657$ |
$186368/19683$ |
$1.02264$ |
$4.60633$ |
$[0, -1, 0, 502381, 1846276860]$ |
\(y^2=x^3-x^2+502381x+1846276860\) |
6.2.0.a.1 |
$[ ]$ |
198744.n1 |
198744dl5 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 3 \cdot 7^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.559704$ |
$187491149065688834/3549$ |
$1.00542$ |
$6.10358$ |
$[0, -1, 0, -1253944904, 17091351939180]$ |
\(y^2=x^3-x^2-1253944904x+17091351939180\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 48.48.0-48.e.1.4, 112.48.0.?, $\ldots$ |
$[ ]$ |
198744.n2 |
198744dl3 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{8} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$3.213131$ |
$91557481657828/12595401$ |
$0.96319$ |
$5.42179$ |
$[0, -1, 0, -78374144, 267053450364]$ |
\(y^2=x^3-x^2-78374144x+267053450364\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.i.2.25, 56.48.0-56.h.1.4, $\ldots$ |
$[ ]$ |
198744.n3 |
198744dl6 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3 \cdot 7^{7} \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$33030144$ |
$3.559704$ |
$-34639400027234/17130345141$ |
$0.97147$ |
$5.44956$ |
$[0, -1, 0, -71418104, 316382903628]$ |
\(y^2=x^3-x^2-71418104x+316382903628\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 24.24.0.bz.1, $\ldots$ |
$[ ]$ |
198744.n4 |
198744dl2 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.866558$ |
$115562131792/32867289$ |
$0.91234$ |
$4.76102$ |
$[0, -1, 0, -5335724, 3384754164]$ |
\(y^2=x^3-x^2-5335724x+3384754164\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.1.11, 28.24.0-4.b.1.2, $\ldots$ |
$[ ]$ |
198744.n5 |
198744dl1 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.519981$ |
$94757435392/4179357$ |
$0.93004$ |
$4.51749$ |
$[0, -1, 0, -1981919, -1031536260]$ |
\(y^2=x^3-x^2-1981919x-1031536260\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
198744.n6 |
198744dl4 |
198744.n |
198744dl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{14} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16515072$ |
$3.213131$ |
$526556774012/674481717$ |
$0.95177$ |
$5.01482$ |
$[0, -1, 0, 14041816, 22304984220]$ |
\(y^2=x^3-x^2+14041816x+22304984220\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bz.2, $\ldots$ |
$[ ]$ |
198744.o1 |
198744dm1 |
198744.o |
198744dm |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$473088$ |
$1.354975$ |
$119164/39$ |
$0.76323$ |
$3.26622$ |
$[0, -1, 0, -12224, -338820]$ |
\(y^2=x^3-x^2-12224x-338820\) |
2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? |
$[ ]$ |
198744.o2 |
198744dm2 |
198744.o |
198744dm |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$946176$ |
$1.701548$ |
$1409938/1521$ |
$0.85499$ |
$3.52557$ |
$[0, -1, 0, 35096, -2364116]$ |
\(y^2=x^3-x^2+35096x-2364116\) |
2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? |
$[ ]$ |
198744.p1 |
198744bo1 |
198744.p |
198744bo |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2261952$ |
$2.002129$ |
$-7168/27$ |
$0.94787$ |
$3.88496$ |
$[0, -1, 0, -77289, -22637187]$ |
\(y^2=x^3-x^2-77289x-22637187\) |
6.2.0.a.1 |
$[ ]$ |
198744.q1 |
198744dn1 |
198744.q |
198744dn |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.2 |
2Cn |
$364$ |
$12$ |
$0$ |
$1.969066206$ |
$1$ |
|
$2$ |
$9225216$ |
$2.736198$ |
$159787264/6561$ |
$0.88869$ |
$4.73360$ |
$[0, -1, 0, -4772616, -3866544891]$ |
\(y^2=x^3-x^2-4772616x-3866544891\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[(-1290, 11907)]$ |
198744.r1 |
198744bp1 |
198744.r |
198744bp |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$5.343415018$ |
$1$ |
|
$0$ |
$518400$ |
$1.382895$ |
$68782/243$ |
$0.97191$ |
$3.25211$ |
$[0, -1, 0, 6704, 475084]$ |
\(y^2=x^3-x^2+6704x+475084\) |
24.2.0.b.1 |
$[(2493/2, 125567/2)]$ |
198744.s1 |
198744bq1 |
198744.s |
198744bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 7^{8} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$45497088$ |
$3.663799$ |
$24078535936/4782969$ |
$1.00098$ |
$5.56518$ |
$[0, -1, 0, -140415396, -518956437663]$ |
\(y^2=x^3-x^2-140415396x-518956437663\) |
2.2.0.a.1, 156.4.0.?, 182.6.0.?, 1092.12.0.? |
$[ ]$ |
198744.t1 |
198744dq1 |
198744.t |
198744dq |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.990153797$ |
$1$ |
|
$2$ |
$7233408$ |
$2.548855$ |
$45500/27$ |
$0.87148$ |
$4.40531$ |
$[0, -1, 0, 1255952, 85935004]$ |
\(y^2=x^3-x^2+1255952x+85935004\) |
6.2.0.a.1 |
$[(14586, 1766744)]$ |
198744.u1 |
198744br2 |
198744.u |
198744br |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.678066884$ |
$1$ |
|
$9$ |
$2064384$ |
$2.041569$ |
$137842000/117$ |
$0.90407$ |
$4.20925$ |
$[0, -1, 0, -565868, 163908900]$ |
\(y^2=x^3-x^2-565868x+163908900\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(464, 1014)]$ |
198744.u2 |
198744br1 |
198744.u |
198744br |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.356133769$ |
$1$ |
|
$7$ |
$1032192$ |
$1.694996$ |
$-256000/507$ |
$0.90091$ |
$3.58837$ |
$[0, -1, 0, -27603, 3721236]$ |
\(y^2=x^3-x^2-27603x+3721236\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-43, 2197)]$ |
198744.v1 |
198744do2 |
198744.v |
198744do |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.443167$ |
$665500/81$ |
$0.94923$ |
$3.40721$ |
$[0, -1, 0, -21688, 1099708]$ |
\(y^2=x^3-x^2-21688x+1099708\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[ ]$ |
198744.v2 |
198744do1 |
198744.v |
198744do |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.096594$ |
$2000/9$ |
$0.88823$ |
$2.97439$ |
$[0, -1, 0, 1972, 87060]$ |
\(y^2=x^3-x^2+1972x+87060\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 12.12.0.o.1, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
198744.w1 |
198744dp2 |
198744.w |
198744dp |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14450688$ |
$3.237263$ |
$8207369602000/3046751253$ |
$0.95414$ |
$5.11045$ |
$[0, -1, 0, -22096468, 23945748436]$ |
\(y^2=x^3-x^2-22096468x+23945748436\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
198744.w2 |
198744dp1 |
198744.w |
198744dp |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7225344$ |
$2.890690$ |
$953312000000/887416803$ |
$1.04778$ |
$4.70672$ |
$[0, -1, 0, 4278517, 2655860544]$ |
\(y^2=x^3-x^2+4278517x+2655860544\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
198744.x1 |
198744bs2 |
198744.x |
198744bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$14.75971865$ |
$1$ |
|
$1$ |
$61931520$ |
$3.792336$ |
$1989996724085074000/1843096437$ |
$1.00659$ |
$6.12675$ |
$[0, -1, 0, -1377861788, -19685484939420]$ |
\(y^2=x^3-x^2-1377861788x-19685484939420\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(2256593336/67, 106895257549002/67)]$ |
198744.x2 |
198744bs1 |
198744.x |
198744bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 7^{14} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$29.51943730$ |
$1$ |
|
$1$ |
$30965760$ |
$3.445763$ |
$-7604375980288000/236743082667$ |
$1.00871$ |
$5.44745$ |
$[0, -1, 0, -85487523, -312277757364]$ |
\(y^2=x^3-x^2-85487523x-312277757364\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(420157817315837/57821, 8588236979158067229557/57821)]$ |
198744.y1 |
198744bt1 |
198744.y |
198744bt |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$556416$ |
$1.266378$ |
$45500/27$ |
$0.87148$ |
$3.14384$ |
$[0, -1, 0, 7432, 36828]$ |
\(y^2=x^3-x^2+7432x+36828\) |
6.2.0.a.1 |
$[ ]$ |
198744.z1 |
198744dr1 |
198744.z |
198744dr |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$3.754347443$ |
$1$ |
|
$2$ |
$3499776$ |
$2.381325$ |
$24078535936/4782969$ |
$1.00098$ |
$4.30371$ |
$[0, -1, 0, -830860, -235955747]$ |
\(y^2=x^3-x^2-830860x-235955747\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 182.6.0.?, 1092.12.0.? |
$[(-702, 931)]$ |
198744.ba1 |
198744bu1 |
198744.ba |
198744bu |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$709632$ |
$1.453724$ |
$159787264/6561$ |
$0.88869$ |
$3.47212$ |
$[0, -1, 0, -28240, -1751231]$ |
\(y^2=x^3-x^2-28240x-1751231\) |
2.2.0.a.1, 52.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[ ]$ |
198744.bb1 |
198744ds4 |
198744.bb |
198744ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{18} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$130056192$ |
$4.015121$ |
$8594236719188066/4858291807551$ |
$1.04589$ |
$5.85090$ |
$[0, -1, 0, -448766712, 557104816332]$ |
\(y^2=x^3-x^2-448766712x+557104816332\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 56.12.0.bb.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
198744.bb2 |
198744ds2 |
198744.bb |
198744ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{12} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$65028096$ |
$3.668549$ |
$6991270724335972/14494474449$ |
$0.98730$ |
$5.77716$ |
$[0, -1, 0, -332501472, 2329591653180]$ |
\(y^2=x^3-x^2-332501472x+2329591653180\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 52.12.0-2.a.1.1, 56.12.0.a.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
198744.bb3 |
198744ds1 |
198744.bb |
198744ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{9} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32514048$ |
$3.321976$ |
$27923315228972368/120393$ |
$0.98725$ |
$5.77704$ |
$[0, -1, 0, -332335852, 2332032163252]$ |
\(y^2=x^3-x^2-332335852x+2332032163252\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 52.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$ |
$[ ]$ |
198744.bb4 |
198744ds3 |
198744.bb |
198744ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 7^{9} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$130056192$ |
$4.015121$ |
$-997241325462146/5206220835543$ |
$1.01375$ |
$5.86326$ |
$[0, -1, 0, -218886152, 3945883195500]$ |
\(y^2=x^3-x^2-218886152x+3945883195500\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 52.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$ |
$[ ]$ |
198744.bc1 |
198744du1 |
198744.bc |
198744du |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$8.617634637$ |
$1$ |
|
$0$ |
$762048$ |
$1.459183$ |
$186368/19683$ |
$1.02264$ |
$3.34486$ |
$[0, -1, 0, 2973, 839448]$ |
\(y^2=x^3-x^2+2973x+839448\) |
6.2.0.a.1 |
$[(2179/7, 352743/7)]$ |
198744.bd1 |
198744bv4 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.465532807$ |
$1$ |
|
$3$ |
$3538944$ |
$2.262390$ |
$381775972/567$ |
$0.96461$ |
$4.40639$ |
$[0, -1, 0, -1261472, -544215972]$ |
\(y^2=x^3-x^2-1261472x-544215972\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1358, 15660)]$ |
198744.bd2 |
198744bv2 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$2.732766403$ |
$1$ |
|
$7$ |
$1769472$ |
$1.915815$ |
$810448/441$ |
$0.95393$ |
$3.78824$ |
$[0, -1, 0, -102132, -3036060]$ |
\(y^2=x^3-x^2-102132x-3036060\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[(672, 15210)]$ |
198744.bd3 |
198744bv1 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.465532807$ |
$1$ |
|
$1$ |
$884736$ |
$1.569242$ |
$2725888/21$ |
$0.93026$ |
$3.66040$ |
$[0, -1, 0, -60727, 5741800]$ |
\(y^2=x^3-x^2-60727x+5741800\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(2593/3, 93835/3)]$ |
198744.bd4 |
198744bv3 |
198744.bd |
198744bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.465532807$ |
$1$ |
|
$1$ |
$3538944$ |
$2.262390$ |
$11696828/7203$ |
$1.01215$ |
$4.12069$ |
$[0, -1, 0, 394728, -24301668]$ |
\(y^2=x^3-x^2+394728x-24301668\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(4774/3, 493480/3)]$ |
198744.be1 |
198744dt3 |
198744.be |
198744dt |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.458553$ |
$62275269892/39$ |
$1.05219$ |
$4.82398$ |
$[0, -1, 0, -6892552, 6967247260]$ |
\(y^2=x^3-x^2-6892552x+6967247260\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[ ]$ |