| 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 |
| 85782.a1 |
85782b6 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$7888$ |
$192$ |
$1$ |
$18.83553834$ |
$1$ |
|
$0$ |
$2867200$ |
$2.530727$ |
$2361739090258884097/5202$ |
$1.06083$ |
$5.50283$ |
$[1, 1, 0, -23332721, -43390387461]$ |
\(y^2+xy=x^3+x^2-23332721x-43390387461\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 116.12.0.?, $\ldots$ |
$[(4021485757/364, 250845863782541/364)]$ |
| 85782.a2 |
85782b4 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 17^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$3944$ |
$192$ |
$1$ |
$9.417769170$ |
$1$ |
|
$2$ |
$1433600$ |
$2.184155$ |
$576615941610337/27060804$ |
$1.03156$ |
$4.77060$ |
$[1, 1, 0, -1458311, -678414495]$ |
\(y^2+xy=x^3+x^2-1458311x-678414495\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 116.24.0.?, 136.96.1.?, $\ldots$ |
$[(-69449/10, 430419/10)]$ |
| 85782.a3 |
85782b5 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2 \cdot 3^{2} \cdot 17^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$7888$ |
$192$ |
$1$ |
$18.83553834$ |
$1$ |
|
$0$ |
$2867200$ |
$2.530727$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$4.78872$ |
$[1, 1, 0, -1382621, -751879209]$ |
\(y^2+xy=x^3+x^2-1382621x-751879209\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 116.12.0.?, 232.96.0.?, $\ldots$ |
$[(147976999/70, 1793546493717/70)]$ |
| 85782.a4 |
85782b2 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 17^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$3944$ |
$192$ |
$1$ |
$4.708884585$ |
$1$ |
|
$2$ |
$716800$ |
$1.837580$ |
$163936758817/30338064$ |
$1.07571$ |
$4.05179$ |
$[1, 1, 0, -95891, -9466275]$ |
\(y^2+xy=x^3+x^2-95891x-9466275\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 68.24.0.c.1, 116.24.0.?, $\ldots$ |
$[(-625/2, 11155/2)]$ |
| 85782.a5 |
85782b1 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 17 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$7888$ |
$192$ |
$1$ |
$2.354442292$ |
$1$ |
|
$3$ |
$358400$ |
$1.491005$ |
$4354703137/352512$ |
$1.05192$ |
$3.73239$ |
$[1, 1, 0, -28611, 1715661]$ |
\(y^2+xy=x^3+x^2-28611x+1715661\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 34.6.0.a.1, $\ldots$ |
$[(54, 549)]$ |
| 85782.a6 |
85782b3 |
85782.a |
85782b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{16} \cdot 17 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$7888$ |
$192$ |
$1$ |
$9.417769170$ |
$1$ |
|
$0$ |
$1433600$ |
$2.184155$ |
$1276229915423/2927177028$ |
$1.03010$ |
$4.32807$ |
$[1, 1, 0, 190049, -54816359]$ |
\(y^2+xy=x^3+x^2+190049x-54816359\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 68.12.0.h.1, $\ldots$ |
$[(232829/20, 125030227/20)]$ |
| 85782.b1 |
85782f1 |
85782.b |
85782f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 17 \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$12.03560585$ |
$1$ |
|
$0$ |
$2067120$ |
$2.268883$ |
$-127216673737/2676888$ |
$0.90812$ |
$4.62546$ |
$[1, 1, 0, -831766, 296892364]$ |
\(y^2+xy=x^3+x^2-831766x+296892364\) |
408.2.0.? |
$[(95015/17, 36962959/17)]$ |
| 85782.c1 |
85782c2 |
85782.c |
85782c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5916$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$204288$ |
$1.383612$ |
$21606904315953125/9792$ |
$1.10310$ |
$4.20031$ |
$[1, 1, 0, -168275, -26639379]$ |
\(y^2+xy=x^3+x^2-168275x-26639379\) |
2.3.0.a.1, 204.6.0.?, 348.6.0.?, 986.6.0.?, 5916.12.0.? |
$[]$ |
| 85782.c2 |
85782c1 |
85782.c |
85782c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{12} \cdot 3 \cdot 17^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5916$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$102144$ |
$1.037037$ |
$-5272566705125/3551232$ |
$1.18616$ |
$3.46814$ |
$[1, 1, 0, -10515, -419667]$ |
\(y^2+xy=x^3+x^2-10515x-419667\) |
2.3.0.a.1, 174.6.0.?, 204.6.0.?, 1972.6.0.?, 5916.12.0.? |
$[]$ |
| 85782.d1 |
85782d1 |
85782.d |
85782d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 17 \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.982160722$ |
$1$ |
|
$12$ |
$23040$ |
$0.159403$ |
$-56640625/49572$ |
$0.98868$ |
$2.24551$ |
$[1, 1, 0, -75, 369]$ |
\(y^2+xy=x^3+x^2-75x+369\) |
68.2.0.a.1 |
$[(3, 12), (30, 147)]$ |
| 85782.e1 |
85782a1 |
85782.e |
85782a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3 \cdot 17^{5} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$8.099484134$ |
$1$ |
|
$0$ |
$126000$ |
$0.802154$ |
$4746352367/136306272$ |
$0.95639$ |
$2.89618$ |
$[1, 1, 0, 331, -15987]$ |
\(y^2+xy=x^3+x^2+331x-15987\) |
408.2.0.? |
$[(1669/9, 206/9)]$ |
| 85782.f1 |
85782e1 |
85782.f |
85782e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 17^{3} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1972$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2257920$ |
$2.355255$ |
$-4831694578428193/184650192$ |
$0.94819$ |
$4.95774$ |
$[1, 1, 0, -2962019, -1963438947]$ |
\(y^2+xy=x^3+x^2-2962019x-1963438947\) |
1972.2.0.? |
$[]$ |
| 85782.g1 |
85782i1 |
85782.g |
85782i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 17^{3} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1972$ |
$2$ |
$0$ |
$1.794889673$ |
$1$ |
|
$4$ |
$14810880$ |
$2.862762$ |
$253756362691/407503872$ |
$1.07999$ |
$5.03004$ |
$[1, 0, 1, 3216807, 2958835132]$ |
\(y^2+xy+y=x^3+3216807x+2958835132\) |
1972.2.0.? |
$[(11003, 1165170)]$ |
| 85782.h1 |
85782g2 |
85782.h |
85782g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 17 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11832$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.088394$ |
$39418555113937/83380104$ |
$0.91863$ |
$4.53442$ |
$[1, 0, 1, -596287, -176952790]$ |
\(y^2+xy+y=x^3-596287x-176952790\) |
2.3.0.a.1, 136.6.0.?, 348.6.0.?, 11832.12.0.? |
$[]$ |
| 85782.h2 |
85782g1 |
85782.h |
85782g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{2} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11832$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$725760$ |
$1.741821$ |
$-2703045457/14482368$ |
$0.88227$ |
$3.89535$ |
$[1, 0, 1, -24407, -4702534]$ |
\(y^2+xy+y=x^3-24407x-4702534\) |
2.3.0.a.1, 136.6.0.?, 174.6.0.?, 11832.12.0.? |
$[]$ |
| 85782.i1 |
85782h1 |
85782.i |
85782h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 17 \cdot 29^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$204$ |
$16$ |
$0$ |
$4.549483682$ |
$1$ |
|
$4$ |
$835200$ |
$1.967533$ |
$-426477625/198288$ |
$0.93952$ |
$4.17262$ |
$[1, 0, 1, -124486, 22692200]$ |
\(y^2+xy+y=x^3-124486x+22692200\) |
3.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.? |
$[(-95, 5849)]$ |
| 85782.i2 |
85782h2 |
85782.i |
85782h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 17^{3} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$204$ |
$16$ |
$0$ |
$13.64845104$ |
$1$ |
|
$0$ |
$2505600$ |
$2.516838$ |
$203659340375/181112832$ |
$0.93669$ |
$4.66374$ |
$[1, 0, 1, 973019, -270561136]$ |
\(y^2+xy+y=x^3+973019x-270561136\) |
3.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.? |
$[(10102339/55, 33092050202/55)]$ |
| 85782.j1 |
85782j1 |
85782.j |
85782j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 17 \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1972$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28998144$ |
$3.647732$ |
$-1292766987789702125/29238755328$ |
$1.01563$ |
$6.33907$ |
$[1, 0, 1, -553510896, 5012355489214]$ |
\(y^2+xy+y=x^3-553510896x+5012355489214\) |
1972.2.0.? |
$[]$ |
| 85782.k1 |
85782n1 |
85782.k |
85782n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 17^{3} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1972$ |
$2$ |
$0$ |
$0.146388611$ |
$1$ |
|
$28$ |
$510720$ |
$1.179113$ |
$253756362691/407503872$ |
$1.07999$ |
$3.25147$ |
$[1, 1, 1, 3825, 122901]$ |
\(y^2+xy+y=x^3+x^2+3825x+122901\) |
1972.2.0.? |
$[(147, 1898), (31, 506)]$ |
| 85782.l1 |
85782l1 |
85782.l |
85782l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 17 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5916$ |
$16$ |
$0$ |
$0.518702843$ |
$1$ |
|
$4$ |
$28800$ |
$0.283885$ |
$-426477625/198288$ |
$0.93952$ |
$2.39405$ |
$[1, 1, 1, -148, 869]$ |
\(y^2+xy+y=x^3+x^2-148x+869\) |
3.4.0.a.1, 68.2.0.a.1, 87.8.0.?, 204.8.0.?, 5916.16.0.? |
$[(11, 21)]$ |
| 85782.l2 |
85782l2 |
85782.l |
85782l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 17^{3} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5916$ |
$16$ |
$0$ |
$0.172900947$ |
$1$ |
|
$8$ |
$86400$ |
$0.833191$ |
$203659340375/181112832$ |
$0.93669$ |
$2.88517$ |
$[1, 1, 1, 1157, -10615]$ |
\(y^2+xy+y=x^3+x^2+1157x-10615\) |
3.4.0.a.1, 68.2.0.a.1, 87.8.0.?, 204.8.0.?, 5916.16.0.? |
$[(83, 774)]$ |
| 85782.m1 |
85782m3 |
85782.m |
85782m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 17^{3} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$11832$ |
$96$ |
$1$ |
$1.067157342$ |
$1$ |
|
$7$ |
$1814400$ |
$2.325073$ |
$46753267515625/11591221248$ |
$1.08666$ |
$4.54944$ |
$[1, 1, 1, -631188, -146187435]$ |
\(y^2+xy+y=x^3+x^2-631188x-146187435\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(-515, 6785)]$ |
| 85782.m2 |
85782m1 |
85782.m |
85782m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 17 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$11832$ |
$96$ |
$1$ |
$3.201472027$ |
$1$ |
|
$3$ |
$604800$ |
$1.775768$ |
$1845026709625/793152$ |
$1.00293$ |
$4.26489$ |
$[1, 1, 1, -214893, 38238819]$ |
\(y^2+xy+y=x^3+x^2-214893x+38238819\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(67, 4880)]$ |
| 85782.m3 |
85782m2 |
85782.m |
85782m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 17^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$11832$ |
$96$ |
$1$ |
$6.402944055$ |
$1$ |
|
$0$ |
$1209600$ |
$2.122341$ |
$-1107111813625/1228691592$ |
$1.01884$ |
$4.31419$ |
$[1, 1, 1, -181253, 50658707]$ |
\(y^2+xy+y=x^3+x^2-181253x+50658707\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(4965/7, 1963144/7)]$ |
| 85782.m4 |
85782m4 |
85782.m |
85782m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 17^{6} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$11832$ |
$96$ |
$1$ |
$2.134314685$ |
$1$ |
|
$4$ |
$3628800$ |
$2.671646$ |
$655215969476375/1001033261568$ |
$1.05358$ |
$4.82540$ |
$[1, 1, 1, 1521772, -924697771]$ |
\(y^2+xy+y=x^3+x^2+1521772x-924697771\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(1167, 48835)]$ |
| 85782.n1 |
85782k1 |
85782.n |
85782k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 17 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1972$ |
$2$ |
$0$ |
$0.312985782$ |
$1$ |
|
$8$ |
$999936$ |
$1.964085$ |
$-1292766987789702125/29238755328$ |
$1.01563$ |
$4.56050$ |
$[1, 1, 1, -658158, 205244715]$ |
\(y^2+xy+y=x^3+x^2-658158x+205244715\) |
1972.2.0.? |
$[(433, 1079)]$ |
| 85782.o1 |
85782q1 |
85782.o |
85782q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 17 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$198016$ |
$0.920119$ |
$1771561/612$ |
$1.28490$ |
$3.04511$ |
$[1, 0, 0, -2120, 23676]$ |
\(y^2+xy=x^3-2120x+23676\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 85782.o2 |
85782q2 |
85782.o |
85782q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2 \cdot 3^{4} \cdot 17^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$396032$ |
$1.266693$ |
$46268279/46818$ |
$0.94894$ |
$3.33232$ |
$[1, 0, 0, 6290, 166646]$ |
\(y^2+xy=x^3+6290x+166646\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 85782.p1 |
85782o1 |
85782.p |
85782o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 17 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$0.328929720$ |
$1$ |
|
$4$ |
$71280$ |
$0.585235$ |
$-127216673737/2676888$ |
$0.90812$ |
$2.84689$ |
$[1, 0, 0, -989, 12105]$ |
\(y^2+xy=x^3-989x+12105\) |
408.2.0.? |
$[(28, 67)]$ |
| 85782.q1 |
85782r2 |
85782.q |
85782r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 29^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5916$ |
$12$ |
$0$ |
$51.78349838$ |
$1$ |
|
$0$ |
$5924352$ |
$3.067261$ |
$21606904315953125/9792$ |
$1.10310$ |
$5.97888$ |
$[1, 0, 0, -141519713, -648009579639]$ |
\(y^2+xy=x^3-141519713x-648009579639\) |
2.3.0.a.1, 204.6.0.?, 348.6.0.?, 986.6.0.?, 5916.12.0.? |
$[(39867443289047299161748/1482980463, 5372808451506075263683641052980149/1482980463)]$ |
| 85782.q2 |
85782r1 |
85782.q |
85782r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{12} \cdot 3 \cdot 17^{2} \cdot 29^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5916$ |
$12$ |
$0$ |
$25.89174919$ |
$1$ |
|
$1$ |
$2962176$ |
$2.720684$ |
$-5272566705125/3551232$ |
$1.18616$ |
$5.24671$ |
$[1, 0, 0, -8843553, -10129137591]$ |
\(y^2+xy=x^3-8843553x-10129137591\) |
2.3.0.a.1, 174.6.0.?, 204.6.0.?, 1972.6.0.?, 5916.12.0.? |
$[(4939109421610/17559, 10728890260076308013/17559)]$ |
| 85782.r1 |
85782p1 |
85782.r |
85782p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 17 \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$668160$ |
$1.843052$ |
$-56640625/49572$ |
$0.98868$ |
$4.02408$ |
$[1, 0, 0, -63513, 9759933]$ |
\(y^2+xy=x^3-63513x+9759933\) |
68.2.0.a.1 |
$[]$ |
| 85782.s1 |
85782s1 |
85782.s |
85782s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3 \cdot 17^{5} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1.622975583$ |
$1$ |
|
$0$ |
$3654000$ |
$2.485802$ |
$4746352367/136306272$ |
$0.95639$ |
$4.67475$ |
$[1, 0, 0, 277933, -393243903]$ |
\(y^2+xy=x^3+277933x-393243903\) |
408.2.0.? |
$[(19132/3, 2644841/3)]$ |
