| 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 |
| 222768.a1 |
222768b1 |
222768.a |
222768b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{21} \cdot 3^{13} \cdot 7 \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$37128$ |
$2$ |
$0$ |
$2.811592924$ |
$1$ |
|
$2$ |
$4064256$ |
$2.126137$ |
$102181603702751/292749230592$ |
$0.92244$ |
$3.94198$ |
$[0, 0, 0, 140253, -40184030]$ |
\(y^2=x^3+140253x-40184030\) |
37128.2.0.? |
$[(689, 19584)]$ |
| 222768.b1 |
222768fm2 |
222768.b |
222768fm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$2.596301068$ |
$1$ |
|
$11$ |
$294912$ |
$0.762476$ |
$25429191408/7600411$ |
$0.79223$ |
$2.66367$ |
$[0, 0, 0, -1167, 10670]$ |
\(y^2=x^3-1167x+10670\) |
2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? |
$[(-7, 136), (-2, 114)]$ |
| 222768.b2 |
222768fm1 |
222768.b |
222768fm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$2.596301068$ |
$1$ |
|
$9$ |
$147456$ |
$0.415902$ |
$1987172352/2393209$ |
$0.79180$ |
$2.23783$ |
$[0, 0, 0, 198, 1115]$ |
\(y^2=x^3+198x+1115\) |
2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? |
$[(79, 714), (11, 68)]$ |
| 222768.c1 |
222768c1 |
222768.c |
222768c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.675037253$ |
$1$ |
|
$3$ |
$368640$ |
$0.849015$ |
$29025255424/14911533$ |
$0.97677$ |
$2.71691$ |
$[0, 0, 0, -1452, 7135]$ |
\(y^2=x^3-1452x+7135\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.? |
$[(113, 1134)]$ |
| 222768.c2 |
222768c2 |
222768.c |
222768c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{4} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.350074506$ |
$1$ |
|
$3$ |
$737280$ |
$1.195589$ |
$95033195696/62082657$ |
$0.84220$ |
$3.03839$ |
$[0, 0, 0, 5433, 55330]$ |
\(y^2=x^3+5433x+55330\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.? |
$[(42, 598)]$ |
| 222768.d1 |
222768d1 |
222768.d |
222768d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 7^{3} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.510305$ |
$1855878893569/61855248$ |
$0.86529$ |
$3.50489$ |
$[0, 0, 0, -36867, -2644990]$ |
\(y^2=x^3-36867x-2644990\) |
2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.? |
$[]$ |
| 222768.d2 |
222768d2 |
222768.d |
222768d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$1.856878$ |
$65499561791/12168200772$ |
$0.93600$ |
$3.70177$ |
$[0, 0, 0, 12093, -9156670]$ |
\(y^2=x^3+12093x-9156670\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 222768.e1 |
222768dp2 |
222768.e |
222768dp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$0.610825429$ |
$1$ |
|
$27$ |
$4325376$ |
$2.071152$ |
$487086912609698/281558645641$ |
$0.99326$ |
$3.90094$ |
$[0, 0, 0, -187347, 1052210]$ |
\(y^2=x^3-187347x+1052210\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(773, 17836), (-11, 1764)]$ |
| 222768.e2 |
222768dp1 |
222768.e |
222768dp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{4} \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$2.443301716$ |
$1$ |
|
$19$ |
$2162688$ |
$1.724577$ |
$299943806051236/1165774337$ |
$0.89351$ |
$3.80528$ |
$[0, 0, 0, -126507, -17260630]$ |
\(y^2=x^3-126507x-17260630\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(-197, 126), (-211, 196)]$ |
| 222768.f1 |
222768cn2 |
222768.f |
222768cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{9} \cdot 7 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37128$ |
$12$ |
$0$ |
$1.399203468$ |
$1$ |
|
$7$ |
$1198080$ |
$1.432253$ |
$38034753147/683774$ |
$0.86061$ |
$3.45683$ |
$[0, 0, 0, -30267, -1995030]$ |
\(y^2=x^3-30267x-1995030\) |
2.3.0.a.1, 168.6.0.?, 2652.6.0.?, 12376.6.0.?, 37128.12.0.? |
$[(-107, 136)]$ |
| 222768.f2 |
222768cn1 |
222768.f |
222768cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{2} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$37128$ |
$12$ |
$0$ |
$2.798406936$ |
$1$ |
|
$5$ |
$599040$ |
$1.085680$ |
$-27/43316$ |
$1.03336$ |
$2.95084$ |
$[0, 0, 0, -27, -89910]$ |
\(y^2=x^3-27x-89910\) |
2.3.0.a.1, 168.6.0.?, 1326.6.0.?, 12376.6.0.?, 37128.12.0.? |
$[(61, 368)]$ |
| 222768.g1 |
222768a1 |
222768.g |
222768a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3094$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60480$ |
$0.071935$ |
$-16384/1547$ |
$0.73630$ |
$1.96276$ |
$[0, 0, 0, -12, -205]$ |
\(y^2=x^3-12x-205\) |
3094.2.0.? |
$[]$ |
| 222768.h1 |
222768co1 |
222768.h |
222768co |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$2.923236566$ |
$1$ |
|
$5$ |
$2949120$ |
$2.053192$ |
$420100556152674123/62939003491$ |
$1.01013$ |
$4.23854$ |
$[0, 0, 0, -748947, -249441390]$ |
\(y^2=x^3-748947x-249441390\) |
2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? |
$[(-498, 168)]$ |
| 222768.h2 |
222768co2 |
222768.h |
222768co |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$1.461618283$ |
$1$ |
|
$7$ |
$5898240$ |
$2.399765$ |
$-313859434290315003/164114213839849$ |
$1.01750$ |
$4.26714$ |
$[0, 0, 0, -679587, -297507870]$ |
\(y^2=x^3-679587x-297507870\) |
2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? |
$[(1137, 19992)]$ |
| 222768.i1 |
222768j1 |
222768.i |
222768j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{8} \cdot 7 \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$706560$ |
$1.380613$ |
$-325660672/40000779$ |
$0.89294$ |
$3.23807$ |
$[0, 0, 0, -2064, -527056]$ |
\(y^2=x^3-2064x-527056\) |
182.2.0.? |
$[]$ |
| 222768.j1 |
222768dr1 |
222768.j |
222768dr |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{11} \cdot 7^{3} \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$4.606546659$ |
$1$ |
|
$0$ |
$1566720$ |
$1.843960$ |
$1039812152065376512/5323417281$ |
$0.93834$ |
$4.12947$ |
$[0, 0, 0, -478659, -127463411]$ |
\(y^2=x^3-478659x-127463411\) |
9282.2.0.? |
$[(-19540/7, 1989/7)]$ |
| 222768.k1 |
222768cp1 |
222768.k |
222768cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$0.694523076$ |
$1$ |
|
$4$ |
$64512$ |
$0.205604$ |
$42360102144/1547$ |
$0.78214$ |
$2.47996$ |
$[0, 0, 0, -549, 4951]$ |
\(y^2=x^3-549x+4951\) |
9282.2.0.? |
$[(14, 3)]$ |
| 222768.l1 |
222768cq2 |
222768.l |
222768cq |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 7 \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18564$ |
$16$ |
$0$ |
$2.538819062$ |
$1$ |
|
$2$ |
$373248$ |
$1.123938$ |
$1703751895296/447083$ |
$0.83395$ |
$3.31528$ |
$[0, 0, 0, -16929, 847611]$ |
\(y^2=x^3-16929x+847611\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 9282.8.0.?, 18564.16.0.? |
$[(42, 459)]$ |
| 222768.l2 |
222768cq1 |
222768.l |
222768cq |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18564$ |
$16$ |
$0$ |
$0.846273020$ |
$1$ |
|
$2$ |
$124416$ |
$0.574631$ |
$42360102144/12810707$ |
$0.79566$ |
$2.47996$ |
$[0, 0, 0, -549, -3421]$ |
\(y^2=x^3-549x-3421\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 9282.8.0.?, 18564.16.0.? |
$[(-14, 39)]$ |
| 222768.m1 |
222768k3 |
222768.m |
222768k |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$111384$ |
$144$ |
$3$ |
$1.780814811$ |
$1$ |
|
$2$ |
$5598720$ |
$2.480190$ |
$-60758712037297/21582993522454$ |
$0.98362$ |
$4.30966$ |
$[0, 0, 0, -117939, -386554894]$ |
\(y^2=x^3-117939x-386554894\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 819.36.0.?, $\ldots$ |
$[(9823, 972774)]$ |
| 222768.m2 |
222768k1 |
222768.m |
222768k |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{21} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$111384$ |
$144$ |
$3$ |
$1.780814811$ |
$1$ |
|
$2$ |
$622080$ |
$1.381578$ |
$-4701947389777/792064$ |
$0.87228$ |
$3.58041$ |
$[0, 0, 0, -50259, 4337426]$ |
\(y^2=x^3-50259x+4337426\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 819.36.0.?, $\ldots$ |
$[(127, 54)]$ |
| 222768.m3 |
222768k2 |
222768.m |
222768k |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{3} \cdot 13^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$111384$ |
$144$ |
$3$ |
$0.593604937$ |
$1$ |
|
$6$ |
$1866240$ |
$1.930883$ |
$83281698863/29618354584$ |
$0.94794$ |
$3.77413$ |
$[0, 0, 0, 13101, 14296466]$ |
\(y^2=x^3+13101x+14296466\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 819.36.0.?, 3276.72.0.?, 12376.2.0.?, $\ldots$ |
$[(79, 3978)]$ |
| 222768.n1 |
222768ds1 |
222768.n |
222768ds |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{21} \cdot 7^{11} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$23654400$ |
$3.088680$ |
$17947507904136033140992/6270317537206298121$ |
$0.99233$ |
$4.92176$ |
$[0, 0, 0, -12370179, 10541880169]$ |
\(y^2=x^3-12370179x+10541880169\) |
9282.2.0.? |
$[]$ |
| 222768.o1 |
222768dt1 |
222768.o |
222768dt |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{11} \cdot 3^{8} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12376$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.745525$ |
$-779089619053874/115296363$ |
$0.90476$ |
$3.93911$ |
$[0, 0, 0, -219099, 39478826]$ |
\(y^2=x^3-219099x+39478826\) |
12376.2.0.? |
$[]$ |
| 222768.p1 |
222768l1 |
222768.p |
222768l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{19} \cdot 3^{6} \cdot 7^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12376$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2032128$ |
$1.942421$ |
$-64737212661577/23296384384$ |
$0.89983$ |
$3.83261$ |
$[0, 0, 0, -120459, -20493254]$ |
\(y^2=x^3-120459x-20493254\) |
12376.2.0.? |
$[]$ |
| 222768.q1 |
222768fo1 |
222768.q |
222768fo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7 \cdot 13^{5} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$0.219546227$ |
$1$ |
|
$4$ |
$1152000$ |
$1.678013$ |
$78658539659069184/3690280755707$ |
$0.96346$ |
$3.65216$ |
$[0, 0, 0, -67479, 6467589]$ |
\(y^2=x^3-67479x+6467589\) |
9282.2.0.? |
$[(108, 663)]$ |
| 222768.r1 |
222768fn1 |
222768.r |
222768fn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{7} \cdot 13 \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.349759280$ |
$1$ |
|
$6$ |
$688128$ |
$1.369862$ |
$1470708907776/182003003$ |
$0.83620$ |
$3.30333$ |
$[0, 0, 0, -16119, 698409]$ |
\(y^2=x^3-16119x+698409\) |
9282.2.0.? |
$[(40, 343), (96, 189)]$ |
| 222768.s1 |
222768f1 |
222768.s |
222768f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.757014330$ |
$1$ |
|
$14$ |
$313344$ |
$1.046158$ |
$56188928/11597859$ |
$0.89489$ |
$2.91176$ |
$[0, 0, 0, 456, 70684]$ |
\(y^2=x^3+456x+70684\) |
182.2.0.? |
$[(-18, 238), (101, 1071)]$ |
| 222768.t1 |
222768e1 |
222768.t |
222768e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{5} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.876924800$ |
$1$ |
|
$2$ |
$4838400$ |
$2.465656$ |
$155195521637763995392/484067975275521$ |
$0.96324$ |
$4.53598$ |
$[0, 0, 0, -2539029, -1553016481]$ |
\(y^2=x^3-2539029x-1553016481\) |
9282.2.0.? |
$[(-890, 1323)]$ |
| 222768.u1 |
222768g1 |
222768.u |
222768g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{8} \cdot 7^{3} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12376$ |
$2$ |
$0$ |
$0.608150045$ |
$1$ |
|
$6$ |
$313344$ |
$1.101862$ |
$270840023/1364454$ |
$0.81940$ |
$2.95345$ |
$[0, 0, 0, 1941, -91366]$ |
\(y^2=x^3+1941x-91366\) |
12376.2.0.? |
$[(61, 504)]$ |
| 222768.v1 |
222768dq1 |
222768.v |
222768dq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{11} \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153600$ |
$0.628816$ |
$13285149952/375921$ |
$0.77825$ |
$2.65344$ |
$[0, 0, 0, -1119, -14051]$ |
\(y^2=x^3-1119x-14051\) |
9282.2.0.? |
$[]$ |
| 222768.w1 |
222768h1 |
222768.w |
222768h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{35} \cdot 3^{6} \cdot 7^{5} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12376$ |
$2$ |
$0$ |
$3.915948794$ |
$1$ |
|
$2$ |
$17487360$ |
$2.948051$ |
$8191187117050762943/5265735962066944$ |
$0.98483$ |
$4.74741$ |
$[0, 0, 0, 6047421, -1905785534]$ |
\(y^2=x^3+6047421x-1905785534\) |
12376.2.0.? |
$[(1223, 85554)]$ |
| 222768.x1 |
222768i1 |
222768.x |
222768i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.766417097$ |
$1$ |
|
$2$ |
$86016$ |
$0.196453$ |
$20353792/4641$ |
$0.66749$ |
$2.12711$ |
$[0, 0, 0, -129, 439]$ |
\(y^2=x^3-129x+439\) |
9282.2.0.? |
$[(-10, 27)]$ |
| 222768.y1 |
222768q4 |
222768.y |
222768q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{9} \cdot 7^{3} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$29.47278217$ |
$1$ |
|
$1$ |
$70778880$ |
$3.772766$ |
$2573221814539797208162915513/152882977338$ |
$1.02241$ |
$6.33629$ |
$[0, 0, 0, -4110995451, -101453867635286]$ |
\(y^2=x^3-4110995451x-101453867635286\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(229531103783066/21091, 3449216377838396550762/21091)]$ |
| 222768.y2 |
222768q2 |
222768.y |
222768q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{6} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$14.73639108$ |
$1$ |
|
$3$ |
$35389440$ |
$3.426193$ |
$628231468580531210149273/4842372001819716$ |
$0.99995$ |
$5.66082$ |
$[0, 0, 0, -256937691, -1585210523510]$ |
\(y^2=x^3-256937691x-1585210523510\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(-347646223/194, 10624359249/194)]$ |
| 222768.y3 |
222768q3 |
222768.y |
222768q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{18} \cdot 7^{12} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$29.47278217$ |
$1$ |
|
$1$ |
$70778880$ |
$3.772766$ |
$-589377067550053459948153/55271687920559220474$ |
$1.00112$ |
$5.66783$ |
$[0, 0, 0, -251527611, -1655157447830]$ |
\(y^2=x^3-251527611x-1655157447830\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[(501869187642929/31234, 11237680435856707533105/31234)]$ |
| 222768.y4 |
222768q1 |
222768.y |
222768q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$7.368195544$ |
$1$ |
|
$1$ |
$17694720$ |
$3.079620$ |
$163284962754131070553/13437317849509008$ |
$0.97278$ |
$4.99042$ |
$[0, 0, 0, -16397211, -23669835446]$ |
\(y^2=x^3-16397211x-23669835446\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-9679/2, 343089/2)]$ |
| 222768.z1 |
222768dx3 |
222768.z |
222768dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13 \cdot 17^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$37128$ |
$48$ |
$0$ |
$5.620308095$ |
$1$ |
|
$17$ |
$1572864$ |
$1.866060$ |
$15638954062612612/205211097$ |
$0.91929$ |
$4.12637$ |
$[0, 0, 0, -472611, 125054386]$ |
\(y^2=x^3-472611x+125054386\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 408.24.0.?, 546.6.0.?, 1092.24.0.?, $\ldots$ |
$[(395, 54), (-685, 11286)]$ |
| 222768.z2 |
222768dx4 |
222768.z |
222768dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{9} \cdot 7^{4} \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$37128$ |
$48$ |
$0$ |
$5.620308095$ |
$1$ |
|
$13$ |
$1572864$ |
$1.866060$ |
$213597982529572/31475907099$ |
$0.98437$ |
$3.77771$ |
$[0, 0, 0, -112971, -12617750]$ |
\(y^2=x^3-112971x-12617750\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 204.24.0.?, 2184.24.0.?, 12376.24.0.?, $\ldots$ |
$[(-133, 234), (803, 20358)]$ |
| 222768.z3 |
222768dx2 |
222768.z |
222768dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$18564$ |
$48$ |
$0$ |
$5.620308095$ |
$1$ |
|
$19$ |
$786432$ |
$1.519487$ |
$16568196345808/1744649361$ |
$0.95824$ |
$3.45751$ |
$[0, 0, 0, -30351, 1840750]$ |
\(y^2=x^3-30351x+1840750\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 204.24.0.?, 1092.24.0.?, 6188.24.0.?, $\ldots$ |
$[(137, 504), (57, 544)]$ |
| 222768.z4 |
222768dx1 |
222768.z |
222768dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{18} \cdot 7 \cdot 13 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$37128$ |
$48$ |
$0$ |
$22.48123238$ |
$1$ |
|
$5$ |
$393216$ |
$1.172913$ |
$140119918592/822139227$ |
$0.88204$ |
$3.02444$ |
$[0, 0, 0, 2454, 141451]$ |
\(y^2=x^3+2454x+141451\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 204.12.0.?, 408.24.0.?, $\ldots$ |
$[(-21, 284), (219, 3344)]$ |
| 222768.ba1 |
222768r1 |
222768.ba |
222768r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{29} \cdot 3^{6} \cdot 7 \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$11.99366601$ |
$1$ |
|
$0$ |
$5209344$ |
$2.471752$ |
$-1712224094099844753/582553567232$ |
$0.97383$ |
$4.62034$ |
$[0, 0, 0, -3589011, -2617808814]$ |
\(y^2=x^3-3589011x-2617808814\) |
728.2.0.? |
$[(452425/14, 102552211/14)]$ |
| 222768.bb1 |
222768fq1 |
222768.bb |
222768fq |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 7 \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$4.249352457$ |
$1$ |
|
$3$ |
$417792$ |
$1.280098$ |
$182916347904/98805343$ |
$0.93195$ |
$3.13405$ |
$[0, 0, 0, -8046, -71685]$ |
\(y^2=x^3-8046x-71685\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(1147, 38726)]$ |
| 222768.bb2 |
222768fq2 |
222768.bb |
222768fq |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.124676228$ |
$1$ |
|
$5$ |
$835584$ |
$1.626673$ |
$651889521936/404452321$ |
$0.91256$ |
$3.46242$ |
$[0, 0, 0, 30969, -563274]$ |
\(y^2=x^3+30969x-563274\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(25, 476)]$ |
| 222768.bc1 |
222768ct1 |
222768.bc |
222768ct |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{5} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$37128$ |
$2$ |
$0$ |
$1.583020201$ |
$1$ |
|
$2$ |
$2419200$ |
$2.172958$ |
$-1638858339/20087188576$ |
$0.99750$ |
$4.01038$ |
$[0, 0, 0, -10611, -61228494]$ |
\(y^2=x^3-10611x-61228494\) |
37128.2.0.? |
$[(1065, 33696)]$ |
| 222768.bd1 |
222768dy1 |
222768.bd |
222768dy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3094$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$243840$ |
$0.966065$ |
$-149682302445568/1547$ |
$0.89803$ |
$3.41109$ |
$[0, 0, 0, -25086, -1529309]$ |
\(y^2=x^3-25086x-1529309\) |
3094.2.0.? |
$[]$ |
| 222768.be1 |
222768cv2 |
222768.be |
222768cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.297441$ |
$684030715731/338005577$ |
$0.88598$ |
$3.15618$ |
$[0, 0, 0, -8811, 121690]$ |
\(y^2=x^3-8811x+121690\) |
2.3.0.a.1, 204.6.0.?, 1092.6.0.?, 6188.6.0.?, 18564.12.0.? |
$[]$ |
| 222768.be2 |
222768cv1 |
222768.be |
222768cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$0.950869$ |
$105890949891/1288651$ |
$0.83564$ |
$3.00468$ |
$[0, 0, 0, -4731, -123926]$ |
\(y^2=x^3-4731x-123926\) |
2.3.0.a.1, 204.6.0.?, 546.6.0.?, 6188.6.0.?, 18564.12.0.? |
$[]$ |
| 222768.bf1 |
222768cu2 |
222768.bf |
222768cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{20} \cdot 3^{3} \cdot 7^{2} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$10.16533283$ |
$1$ |
|
$1$ |
$2654208$ |
$2.208233$ |
$1440948051852717771/1029307365632$ |
$0.98671$ |
$4.33863$ |
$[0, 0, 0, -1129491, -461746990]$ |
\(y^2=x^3-1129491x-461746990\) |
2.3.0.a.1, 204.6.0.?, 1092.6.0.?, 6188.6.0.?, 18564.12.0.? |
$[(-75682/11, 205672/11)]$ |
| 222768.bf2 |
222768cu1 |
222768.bf |
222768cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{28} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$5.082666415$ |
$1$ |
|
$3$ |
$1327104$ |
$1.861658$ |
$614363455856331/291276783616$ |
$0.93734$ |
$3.70843$ |
$[0, 0, 0, -85011, -4055854]$ |
\(y^2=x^3-85011x-4055854\) |
2.3.0.a.1, 204.6.0.?, 546.6.0.?, 6188.6.0.?, 18564.12.0.? |
$[(-50, 264)]$ |
