| 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 |
| 84042.a1 |
84042o2 |
84042.a |
84042o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{18} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4325376$ |
$2.446815$ |
$83495906876545843418929/4446486067968$ |
$0.97337$ |
$5.23595$ |
$[1, -1, 0, -8195139, 9031941589]$ |
\(y^2+xy=x^3-x^2-8195139x+9031941589\) |
2.3.0.a.1, 28.6.0.c.1, 2668.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.a2 |
84042o1 |
84042.a |
84042o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$2.100243$ |
$-20277830643563063089/148784320806912$ |
$0.94027$ |
$4.50304$ |
$[1, -1, 0, -511299, 141738709]$ |
\(y^2+xy=x^3-x^2-511299x+141738709\) |
2.3.0.a.1, 14.6.0.b.1, 2668.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.b1 |
84042c1 |
84042.b |
84042c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1.136043356$ |
$1$ |
|
$12$ |
$130560$ |
$0.946796$ |
$29503629/33467392$ |
$0.91737$ |
$3.05738$ |
$[1, -1, 0, 174, 38996]$ |
\(y^2+xy=x^3-x^2+174x+38996\) |
8004.2.0.? |
$[(52, 406), (20, 214)]$ |
| 84042.c1 |
84042f1 |
84042.c |
84042f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$8004$ |
$16$ |
$0$ |
$0.816272043$ |
$1$ |
|
$10$ |
$428544$ |
$1.430737$ |
$-74394829397764539/2656744070848$ |
$0.94462$ |
$3.72199$ |
$[1, -1, 0, -26286, 1696788]$ |
\(y^2+xy=x^3-x^2-26286x+1696788\) |
3.8.0-3.a.1.2, 8004.16.0.? |
$[(84, 234)]$ |
| 84042.c2 |
84042f2 |
84042.c |
84042f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{18} \cdot 3^{9} \cdot 7^{2} \cdot 23 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$8004$ |
$16$ |
$0$ |
$2.448816129$ |
$1$ |
|
$2$ |
$1285632$ |
$1.980043$ |
$11201683792858749/7205395628032$ |
$0.96483$ |
$4.13106$ |
$[1, -1, 0, 125859, 5707781]$ |
\(y^2+xy=x^3-x^2+125859x+5707781\) |
3.8.0-3.a.1.1, 8004.16.0.? |
$[(1162, 40891)]$ |
| 84042.d1 |
84042k2 |
84042.d |
84042k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{14} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37352$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3440640$ |
$2.672253$ |
$7054751972146948898193/332947845138448288$ |
$1.00823$ |
$5.01802$ |
$[1, -1, 0, -3596073, 2516362541]$ |
\(y^2+xy=x^3-x^2-3596073x+2516362541\) |
2.3.0.a.1, 232.6.0.?, 644.6.0.?, 37352.12.0.? |
$[]$ |
| 84042.d2 |
84042k1 |
84042.d |
84042k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{7} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37352$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$2.325676$ |
$6811821555839776164753/16312107262976$ |
$0.98402$ |
$5.01493$ |
$[1, -1, 0, -3554313, 2580063245]$ |
\(y^2+xy=x^3-x^2-3554313x+2580063245\) |
2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.? |
$[]$ |
| 84042.e1 |
84042s4 |
84042.e |
84042s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{14} \cdot 7 \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$5.137585849$ |
$4$ |
$2$ |
$2$ |
$3932160$ |
$2.652420$ |
$10637644355320485051409393/5636528856$ |
$1.03463$ |
$5.66344$ |
$[1, -1, 0, -41236623, -101912821515]$ |
\(y^2+xy=x^3-x^2-41236623x-101912821515\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(18345, 2296290)]$ |
| 84042.e2 |
84042s3 |
84042.e |
84042s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{8} \cdot 7^{4} \cdot 23^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1.284396462$ |
$1$ |
|
$6$ |
$3932160$ |
$2.652420$ |
$2891653301319233037553/392595522777413928$ |
$1.04748$ |
$4.93936$ |
$[1, -1, 0, -2671263, -1469493819]$ |
\(y^2+xy=x^3-x^2-2671263x-1469493819\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[(-675, 5409)]$ |
| 84042.e3 |
84042s2 |
84042.e |
84042s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$2.568792924$ |
$1$ |
|
$8$ |
$1966080$ |
$2.305843$ |
$2597124184544220800113/59781720914496$ |
$1.04423$ |
$4.92989$ |
$[1, -1, 0, -2577303, -1591886115]$ |
\(y^2+xy=x^3-x^2-2577303x-1591886115\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 232.12.0.?, $\ldots$ |
$[(-929, 591)]$ |
| 84042.e4 |
84042s1 |
84042.e |
84042s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{8} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$5.137585849$ |
$1$ |
|
$3$ |
$983040$ |
$1.959272$ |
$-567369487256391793/96549084721152$ |
$0.92577$ |
$4.20927$ |
$[1, -1, 0, -155223, -26738019]$ |
\(y^2+xy=x^3-x^2-155223x-26738019\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(583, 8690)]$ |
| 84042.f1 |
84042l4 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4915200$ |
$2.751526$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$5.90815$ |
$[1, -1, 0, -103987968, -408126777040]$ |
\(y^2+xy=x^3-x^2-103987968x-408126777040\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 84042.f2 |
84042l3 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4915200$ |
$2.751526$ |
$41966336340198080824833/442001722607124848$ |
$0.99085$ |
$5.17528$ |
$[1, -1, 0, -6515808, -6341625136]$ |
\(y^2+xy=x^3-x^2-6515808x-6341625136\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 84042.f3 |
84042l2 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1932$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2457600$ |
$2.404953$ |
$41647175116728660507393/4693358285056$ |
$1.07362$ |
$5.17460$ |
$[1, -1, 0, -6499248, -6375761920]$ |
\(y^2+xy=x^3-x^2-6499248x-6375761920\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
| 84042.f4 |
84042l1 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$2.058380$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.44199$ |
$[1, -1, 0, -405168, -100078336]$ |
\(y^2+xy=x^3-x^2-405168x-100078336\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 84042.g1 |
84042e2 |
84042.g |
84042e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{2} \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1.042358737$ |
$1$ |
|
$6$ |
$168960$ |
$1.102850$ |
$614363455856331/92255742152$ |
$0.91746$ |
$3.29370$ |
$[1, -1, 0, -5313, 129605]$ |
\(y^2+xy=x^3-x^2-5313x+129605\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[(7, 301)]$ |
| 84042.g2 |
84042e1 |
84042.g |
84042e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{4} \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$0.521179368$ |
$1$ |
|
$9$ |
$84480$ |
$0.756277$ |
$745895875509/2357359424$ |
$0.89293$ |
$2.83349$ |
$[1, -1, 0, 567, 10829]$ |
\(y^2+xy=x^3-x^2+567x+10829\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[(-7, 84)]$ |
| 84042.h1 |
84042x4 |
84042.h |
84042x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{4} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$112056$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1572864$ |
$2.332985$ |
$169329872850278511529873/518875308$ |
$0.97581$ |
$5.29830$ |
$[1, -1, 0, -10373193, -12856691439]$ |
\(y^2+xy=x^3-x^2-10373193x-12856691439\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 276.12.0.?, 348.12.0.?, $\ldots$ |
$[]$ |
| 84042.h2 |
84042x2 |
84042.h |
84042x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{14} \cdot 7^{2} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$56028$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$786432$ |
$1.986410$ |
$41341948683761556433/2288430715536$ |
$1.02377$ |
$4.56475$ |
$[1, -1, 0, -648333, -200758635]$ |
\(y^2+xy=x^3-x^2-648333x-200758635\) |
2.6.0.a.1, 84.12.0.?, 276.12.0.?, 348.12.0.?, 644.12.0.?, $\ldots$ |
$[]$ |
| 84042.h3 |
84042x3 |
84042.h |
84042x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{22} \cdot 7 \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$112056$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1572864$ |
$2.332985$ |
$-34738422575629408273/9781544810505132$ |
$1.02757$ |
$4.58437$ |
$[1, -1, 0, -611793, -224414631]$ |
\(y^2+xy=x^3-x^2-611793x-224414631\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 348.12.0.?, 406.6.0.?, $\ldots$ |
$[]$ |
| 84042.h4 |
84042x1 |
84042.h |
84042x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{10} \cdot 7 \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$112056$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.639837$ |
$11904985543468753/2361254789376$ |
$0.90554$ |
$3.84577$ |
$[1, -1, 0, -42813, -2753595]$ |
\(y^2+xy=x^3-x^2-42813x-2753595\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 276.12.0.?, 322.6.0.?, $\ldots$ |
$[]$ |
| 84042.i1 |
84042a1 |
84042.i |
84042a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{50} \cdot 3^{3} \cdot 7^{2} \cdot 23 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$8.332473533$ |
$1$ |
|
$0$ |
$226419200$ |
$4.628937$ |
$-20455362159569980506142961077267227/21888181663777322343577157632$ |
$1.06432$ |
$7.25820$ |
$[1, -1, 0, -17092899600, 860944240063744]$ |
\(y^2+xy=x^3-x^2-17092899600x+860944240063744\) |
8004.2.0.? |
$[(77666976/23, 472861855184/23)]$ |
| 84042.j1 |
84042b1 |
84042.j |
84042b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.419632230$ |
$1$ |
|
$14$ |
$13824$ |
$-0.061123$ |
$-14348907/130732$ |
$0.87721$ |
$1.99249$ |
$[1, -1, 0, -15, 97]$ |
\(y^2+xy=x^3-x^2-15x+97\) |
8004.2.0.? |
$[(-1, 11), (6, 11)]$ |
| 84042.k1 |
84042z1 |
84042.k |
84042z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{11} \cdot 7^{6} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.374657821$ |
$1$ |
|
$8$ |
$215040$ |
$1.339804$ |
$-128031684631201/76274670276$ |
$0.88125$ |
$3.50847$ |
$[1, -1, 0, -9450, -501368]$ |
\(y^2+xy=x^3-x^2-9450x-501368\) |
8004.2.0.? |
$[(266, 3836)]$ |
| 84042.l1 |
84042p2 |
84042.l |
84042p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$0.524087241$ |
$1$ |
|
$10$ |
$129024$ |
$1.062351$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.16866$ |
$[1, -1, 0, -3312, 2484]$ |
\(y^2+xy=x^3-x^2-3312x+2484\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(66, 228)]$ |
| 84042.l2 |
84042p1 |
84042.l |
84042p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.048174483$ |
$1$ |
|
$7$ |
$64512$ |
$0.715777$ |
$86058173375/49827568$ |
$0.91788$ |
$2.80181$ |
$[1, -1, 0, 828, 0]$ |
\(y^2+xy=x^3-x^2+828x\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(4, 56)]$ |
| 84042.m1 |
84042g2 |
84042.m |
84042g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{10} \cdot 7^{2} \cdot 23^{4} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$2.559780$ |
$124366161863676314688625/216708738315048$ |
$1.06525$ |
$5.27108$ |
$[1, -1, 0, -9359127, 11022819093]$ |
\(y^2+xy=x^3-x^2-9359127x+11022819093\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 84042.m2 |
84042g1 |
84042.m |
84042g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{8} \cdot 7 \cdot 23^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$2.213207$ |
$-29459681838088944625/1268715316413888$ |
$0.94263$ |
$4.54120$ |
$[1, -1, 0, -579087, 175957677]$ |
\(y^2+xy=x^3-x^2-579087x+175957677\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 84042.n1 |
84042t2 |
84042.n |
84042t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{18} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$1.622601$ |
$311534760415992625/69476344812$ |
$0.91949$ |
$4.13367$ |
$[1, -1, 0, -127107, -17407143]$ |
\(y^2+xy=x^3-x^2-127107x-17407143\) |
2.3.0.a.1, 28.6.0.c.1, 2668.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.n2 |
84042t1 |
84042.n |
84042t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{12} \cdot 7 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.276026$ |
$-53093782176625/36324297072$ |
$0.87602$ |
$3.43724$ |
$[1, -1, 0, -7047, -334611]$ |
\(y^2+xy=x^3-x^2-7047x-334611\) |
2.3.0.a.1, 14.6.0.b.1, 2668.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.o1 |
84042h1 |
84042.o |
84042h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.584500553$ |
$1$ |
|
$14$ |
$49152$ |
$0.427554$ |
$2691419471/1568784$ |
$0.83961$ |
$2.49624$ |
$[1, -1, 0, 261, -203]$ |
\(y^2+xy=x^3-x^2+261x-203\) |
8004.2.0.? |
$[(2, 17), (38, 233)]$ |
| 84042.p1 |
84042d1 |
84042.p |
84042d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109056$ |
$1.074903$ |
$-88257832883667/130732$ |
$0.89891$ |
$3.70390$ |
$[1, -1, 0, -25044, -1519228]$ |
\(y^2+xy=x^3-x^2-25044x-1519228\) |
8004.2.0.? |
$[]$ |
| 84042.q1 |
84042v1 |
84042.q |
84042v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{31} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4300800$ |
$2.776562$ |
$-76444681828933004802769/443070937958809104$ |
$0.97316$ |
$5.22904$ |
$[1, -1, 0, -7957629, 8685346581]$ |
\(y^2+xy=x^3-x^2-7957629x+8685346581\) |
8004.2.0.? |
$[]$ |
| 84042.r1 |
84042u1 |
84042.r |
84042u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{20} \cdot 3^{7} \cdot 7^{10} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072000$ |
$2.694855$ |
$-4921925963128800767569/592689730157543424$ |
$0.96495$ |
$5.00294$ |
$[1, -1, 0, -3189429, -2408918859]$ |
\(y^2+xy=x^3-x^2-3189429x-2408918859\) |
8004.2.0.? |
$[]$ |
| 84042.s1 |
84042j2 |
84042.s |
84042j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{6} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.007202$ |
$545644947830040577/251340262104722$ |
$0.93931$ |
$4.18310$ |
$[1, -1, 0, -153216, -10388570]$ |
\(y^2+xy=x^3-x^2-153216x-10388570\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
| 84042.s2 |
84042j1 |
84042.s |
84042j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{5} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.660627$ |
$70687311717054817/1093629002564$ |
$0.91163$ |
$4.00286$ |
$[1, -1, 0, -77526, 8216032]$ |
\(y^2+xy=x^3-x^2-77526x+8216032\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
| 84042.t1 |
84042r4 |
84042.t |
84042r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{30} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16008$ |
$48$ |
$0$ |
$14.38560711$ |
$1$ |
|
$0$ |
$3145728$ |
$2.650646$ |
$39299952982911088675537/36922578163234092$ |
$0.97073$ |
$5.16949$ |
$[1, -1, 0, -6374781, -6188442935]$ |
\(y^2+xy=x^3-x^2-6374781x-6188442935\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 184.12.0.?, 232.12.0.?, $\ldots$ |
$[(-4717265/57, 544227500/57)]$ |
| 84042.t2 |
84042r3 |
84042.t |
84042r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{8} \cdot 23^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16008$ |
$48$ |
$0$ |
$3.596401779$ |
$1$ |
|
$2$ |
$3145728$ |
$2.650646$ |
$12038137758966292431697/136420985247469524$ |
$0.96660$ |
$5.06514$ |
$[1, -1, 0, -4297221, 3396038737]$ |
\(y^2+xy=x^3-x^2-4297221x+3396038737\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[(827, 19769)]$ |
| 84042.t3 |
84042r2 |
84042.t |
84042r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{18} \cdot 7^{4} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8004$ |
$48$ |
$0$ |
$7.192803559$ |
$1$ |
|
$2$ |
$1572864$ |
$2.304073$ |
$18049736530420002577/9082781509962384$ |
$0.96032$ |
$4.49167$ |
$[1, -1, 0, -491841, -47830163]$ |
\(y^2+xy=x^3-x^2-491841x-47830163\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 116.12.0.?, 276.24.0.?, $\ldots$ |
$[(-1589/3, 158611/3)]$ |
| 84042.t4 |
84042r1 |
84042.t |
84042r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{8} \cdot 3^{12} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16008$ |
$48$ |
$0$ |
$3.596401779$ |
$1$ |
|
$3$ |
$786432$ |
$1.957499$ |
$222861355966481903/148759051730688$ |
$0.94123$ |
$4.10413$ |
$[1, -1, 0, 113679, -5807075]$ |
\(y^2+xy=x^3-x^2+113679x-5807075\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(5858, 446135)]$ |
| 84042.u1 |
84042i2 |
84042.u |
84042i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{14} \cdot 7^{2} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37352$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$1.317707$ |
$380022594806737/39455701992$ |
$0.88073$ |
$3.54199$ |
$[1, -1, 0, -13581, -548451]$ |
\(y^2+xy=x^3-x^2-13581x-548451\) |
2.3.0.a.1, 232.6.0.?, 644.6.0.?, 37352.12.0.? |
$[]$ |
| 84042.u2 |
84042i1 |
84042.u |
84042i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37352$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$0.971132$ |
$4701947389777/701918784$ |
$0.84805$ |
$3.15464$ |
$[1, -1, 0, -3141, 59157]$ |
\(y^2+xy=x^3-x^2-3141x+59157\) |
2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.? |
$[]$ |
| 84042.v1 |
84042w2 |
84042.v |
84042w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.843332$ |
$6950735348004218737/462042447104$ |
$0.93513$ |
$4.40751$ |
$[1, -1, 0, -357831, -82294083]$ |
\(y^2+xy=x^3-x^2-357831x-82294083\) |
2.3.0.a.1, 58.6.0.a.1, 644.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.v2 |
84042w1 |
84042.v |
84042w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{3} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.496759$ |
$2032601155983217/434808356864$ |
$0.89500$ |
$3.68988$ |
$[1, -1, 0, -23751, -1112643]$ |
\(y^2+xy=x^3-x^2-23751x-1112643\) |
2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.? |
$[]$ |
| 84042.w1 |
84042q1 |
84042.w |
84042q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{14} \cdot 3^{15} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$4.930261191$ |
$1$ |
|
$2$ |
$1161216$ |
$1.737177$ |
$-4998193642364833/10539818827776$ |
$0.91617$ |
$3.90465$ |
$[1, -1, 0, -32058, -4752972]$ |
\(y^2+xy=x^3-x^2-32058x-4752972\) |
8004.2.0.? |
$[(241, 1094)]$ |
| 84042.x1 |
84042m1 |
84042.x |
84042m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{23} \cdot 7^{4} \cdot 23^{5} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$141004800$ |
$4.405594$ |
$-15783581016591674409040545168913/199363941874093251129348096$ |
$1.02486$ |
$6.91854$ |
$[1, -1, 0, -4703304753, -125498146835043]$ |
\(y^2+xy=x^3-x^2-4703304753x-125498146835043\) |
8004.2.0.? |
$[]$ |
| 84042.y1 |
84042ba1 |
84042.y |
84042ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 3^{7} \cdot 7^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$2.379916875$ |
$1$ |
|
$0$ |
$1775616$ |
$2.153629$ |
$411669726023975327/1684468993622016$ |
$0.94601$ |
$4.31730$ |
$[1, -1, 0, 139482, -49436492]$ |
\(y^2+xy=x^3-x^2+139482x-49436492\) |
8004.2.0.? |
$[(7676/5, 570634/5)]$ |
| 84042.z1 |
84042n2 |
84042.z |
84042n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$5111808$ |
$2.599354$ |
$224579217782301820003441/263864147484672$ |
$0.97676$ |
$5.32320$ |
$[1, -1, 0, -11397015, -14806445027]$ |
\(y^2+xy=x^3-x^2-11397015x-14806445027\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 84042.z2 |
84042n1 |
84042.z |
84042n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{26} \cdot 3^{8} \cdot 7 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2555904$ |
$2.252781$ |
$-53487221637874132081/1880927709954048$ |
$0.94514$ |
$4.59267$ |
$[1, -1, 0, -706455, -235211747]$ |
\(y^2+xy=x^3-x^2-706455x-235211747\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 84042.ba1 |
84042y2 |
84042.ba |
84042y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{14} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13762560$ |
$3.132801$ |
$4694218885023389137367281/37521774547776433152$ |
$1.01508$ |
$5.59129$ |
$[1, -1, 0, -31394655, 67245339213]$ |
\(y^2+xy=x^3-x^2-31394655x+67245339213\) |
2.3.0.a.1, 28.6.0.c.1, 2668.6.0.?, 18676.12.0.? |
$[]$ |
