| 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 |
| 272734.a1 |
272734a1 |
272734.a |
272734a |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{4} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$184$ |
$2$ |
$0$ |
$0.746590848$ |
$1$ |
|
$4$ |
$1980000$ |
$1.506763$ |
$71498889/46$ |
$0.82851$ |
$3.59948$ |
$[1, -1, 0, -69295, -6999833]$ |
\(y^2+xy=x^3-x^2-69295x-6999833\) |
184.2.0.? |
$[(-151, 15)]$ |
| 272734.b1 |
272734b1 |
272734.b |
272734b |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{6} \cdot 7^{3} \cdot 11^{7} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$0.648335329$ |
$1$ |
|
$16$ |
$1382400$ |
$1.187733$ |
$34965783/16192$ |
$0.80088$ |
$3.00369$ |
$[1, -1, 0, -5770, 76852]$ |
\(y^2+xy=x^3-x^2-5770x+76852\) |
7084.2.0.? |
$[(-19, 433), (-52, 510)]$ |
| 272734.c1 |
272734c1 |
272734.c |
272734c |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{7} \cdot 7^{2} \cdot 11^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70963200$ |
$3.221935$ |
$701476100299318729/10023806115968$ |
$0.97713$ |
$5.12669$ |
$[1, 0, 1, -40539238, -98117671368]$ |
\(y^2+xy+y=x^3-40539238x-98117671368\) |
8.2.0.b.1 |
$[]$ |
| 272734.d1 |
272734d1 |
272734.d |
272734d |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{15} \cdot 7^{6} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$6072$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3326400$ |
$1.912289$ |
$691510653107/398688256$ |
$1.04659$ |
$3.68571$ |
$[1, 0, 1, -99300, 727010]$ |
\(y^2+xy+y=x^3-99300x+727010\) |
3.6.0.b.1, 33.12.0.a.1, 552.12.0.?, 2024.2.0.?, 6072.24.1.? |
$[]$ |
| 272734.e1 |
272734e1 |
272734.e |
272734e |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 7^{23} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$8.619069854$ |
$1$ |
|
$2$ |
$67682304$ |
$3.420280$ |
$-31561336767775878870433/10701003643411522$ |
$1.00315$ |
$5.45515$ |
$[1, 0, 1, -159564067, 776015689656]$ |
\(y^2+xy+y=x^3-159564067x+776015689656\) |
1288.2.0.? |
$[(9442, 328747)]$ |
| 272734.f1 |
272734f1 |
272734.f |
272734f |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.844262102$ |
$1$ |
|
$4$ |
$64512$ |
$-0.005613$ |
$1877953/1058$ |
$0.80051$ |
$1.84826$ |
$[1, 0, 1, -47, -24]$ |
\(y^2+xy+y=x^3-47x-24\) |
8.2.0.b.1 |
$[(8, 7)]$ |
| 272734.g1 |
272734g1 |
272734.g |
272734g |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{17} \cdot 7^{7} \cdot 11^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$22.18759551$ |
$1$ |
|
$0$ |
$27574272$ |
$3.115051$ |
$-197294400193/21102592$ |
$0.96837$ |
$4.94013$ |
$[1, 0, 1, -17591467, -30913572714]$ |
\(y^2+xy+y=x^3-17591467x-30913572714\) |
1288.2.0.? |
$[(4285012492/127, 280189791048051/127)]$ |
| 272734.h1 |
272734h2 |
272734.h |
272734h |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{8} \cdot 11^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.797215$ |
$304821217/51842$ |
$0.85015$ |
$3.64311$ |
$[1, 0, 1, -83130, -7759006]$ |
\(y^2+xy+y=x^3-83130x-7759006\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.h2 |
272734h1 |
272734.h |
272734h |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{7} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1244160$ |
$1.450640$ |
$7189057/644$ |
$0.79155$ |
$3.34372$ |
$[1, 0, 1, -23840, 1300506]$ |
\(y^2+xy+y=x^3-23840x+1300506\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.i1 |
272734i2 |
272734.i |
272734i |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 7^{9} \cdot 11^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$8.647894938$ |
$1$ |
|
$0$ |
$36495360$ |
$3.128059$ |
$388686162930440257/734497456$ |
$0.94141$ |
$5.31824$ |
$[1, 1, 0, -90144639, -329463098411]$ |
\(y^2+xy=x^3+x^2-90144639x-329463098411\) |
3.4.0.a.1, 231.8.0.?, 276.8.0.?, 7084.2.0.?, 21252.16.0.? |
$[(-1585830/17, 14893561/17)]$ |
| 272734.i2 |
272734i1 |
272734.i |
272734i |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{12} \cdot 7^{7} \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$2.882631646$ |
$1$ |
|
$4$ |
$12165120$ |
$2.578754$ |
$1606957644097/877735936$ |
$0.89930$ |
$4.32783$ |
$[1, 1, 0, -1446799, -159323611]$ |
\(y^2+xy=x^3+x^2-1446799x-159323611\) |
3.4.0.a.1, 231.8.0.?, 276.8.0.?, 7084.2.0.?, 21252.16.0.? |
$[(-1138, 4441)]$ |
| 272734.j1 |
272734j1 |
272734.j |
272734j |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 7^{4} \cdot 11^{9} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.649541085$ |
$1$ |
|
$4$ |
$6912000$ |
$2.475197$ |
$25248276104737/11918987872$ |
$0.93957$ |
$4.23695$ |
$[1, 1, 0, -990266, 162401716]$ |
\(y^2+xy=x^3+x^2-990266x+162401716\) |
88.2.0.? |
$[(1029, 14792)]$ |
| 272734.k1 |
272734k1 |
272734.k |
272734k |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 7^{3} \cdot 11^{7} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$1.246565160$ |
$1$ |
|
$10$ |
$5160960$ |
$2.370876$ |
$300318807853063/8771141632$ |
$0.92466$ |
$4.27931$ |
$[1, 1, 0, -1181688, 481297216]$ |
\(y^2+xy=x^3+x^2-1181688x+481297216\) |
7084.2.0.? |
$[(48, 20584), (853, 9314)]$ |
| 272734.l1 |
272734l1 |
272734.l |
272734l |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 7^{2} \cdot 11^{7} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$5.820751193$ |
$1$ |
|
$2$ |
$39744000$ |
$3.314362$ |
$25286724761962890625/14582131947204448$ |
$1.22103$ |
$5.02994$ |
$[1, 1, 0, -27075325, -3224725027]$ |
\(y^2+xy=x^3+x^2-27075325x-3224725027\) |
88.2.0.? |
$[(-3899, 209525)]$ |
| 272734.m1 |
272734m2 |
272734.m |
272734m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 7^{7} \cdot 11^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$1.231144114$ |
$1$ |
|
$4$ |
$7464960$ |
$2.531445$ |
$-3903264618625/226719878$ |
$0.94093$ |
$4.40638$ |
$[1, 1, 0, -1944835, -1095880309]$ |
\(y^2+xy=x^3+x^2-1944835x-1095880309\) |
3.4.0.a.1, 231.8.0.?, 552.8.0.?, 14168.2.0.?, 42504.16.0.? |
$[(1777, 31721)]$ |
| 272734.m2 |
272734m1 |
272734.m |
272734m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 7^{9} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$0.410381371$ |
$1$ |
|
$6$ |
$2488320$ |
$1.982140$ |
$1174241375/694232$ |
$0.84441$ |
$3.75086$ |
$[1, 1, 0, 130315, -2608283]$ |
\(y^2+xy=x^3+x^2+130315x-2608283\) |
3.4.0.a.1, 231.8.0.?, 552.8.0.?, 14168.2.0.?, 42504.16.0.? |
$[(699, 20402)]$ |
| 272734.n1 |
272734n1 |
272734.n |
272734n |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{4} \cdot 11^{9} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.030691514$ |
$1$ |
|
$4$ |
$1596672$ |
$1.795822$ |
$28017563/1058$ |
$0.81537$ |
$3.71621$ |
$[1, 1, 0, -112774, 14046278]$ |
\(y^2+xy=x^3+x^2-112774x+14046278\) |
88.2.0.? |
$[(-71, 4694)]$ |
| 272734.o1 |
272734o1 |
272734.o |
272734o |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{14} \cdot 7^{11} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$4.910118367$ |
$1$ |
|
$2$ |
$19353600$ |
$3.020573$ |
$1827347754908593/69667569664$ |
$0.91226$ |
$4.89000$ |
$[1, 1, 0, -15101286, -21837129068]$ |
\(y^2+xy=x^3+x^2-15101286x-21837129068\) |
7084.2.0.? |
$[(212988, 98172610)]$ |
| 272734.p1 |
272734p2 |
272734.p |
272734p |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$7.183970008$ |
$1$ |
|
$0$ |
$142560$ |
$0.444829$ |
$10154161633/24334$ |
$0.85268$ |
$2.53500$ |
$[1, 1, 0, -816, -9302]$ |
\(y^2+xy=x^3+x^2-816x-9302\) |
3.4.0.a.1, 184.2.0.?, 231.8.0.?, 552.8.0.?, 42504.16.0.? |
$[(-2877/13, 9374/13)]$ |
| 272734.p2 |
272734p1 |
272734.p |
272734p |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$2.394656669$ |
$1$ |
|
$2$ |
$47520$ |
$-0.104477$ |
$1877953/184$ |
$0.73074$ |
$1.84826$ |
$[1, 1, 0, -46, 92]$ |
\(y^2+xy=x^3+x^2-46x+92\) |
3.4.0.a.1, 184.2.0.?, 231.8.0.?, 552.8.0.?, 42504.16.0.? |
$[(-7, 15)]$ |
| 272734.q1 |
272734q1 |
272734.q |
272734q |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{21} \cdot 7^{3} \cdot 11^{8} \cdot 23^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$5.180946037$ |
$1$ |
|
$6$ |
$58544640$ |
$3.283569$ |
$18013683824433/13497989595136$ |
$1.07068$ |
$5.01016$ |
$[1, -1, 0, 2287906, -47912395756]$ |
\(y^2+xy=x^3-x^2+2287906x-47912395756\) |
1288.2.0.? |
$[(4447, 221808), (3721, 108189)]$ |
| 272734.r1 |
272734r2 |
272734.r |
272734r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{15} \cdot 7^{3} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$143769600$ |
$3.771172$ |
$7182115611944007873394647/11034394624$ |
$1.18976$ |
$6.18865$ |
$[1, -1, 0, -3404549374, -76459725485676]$ |
\(y^2+xy=x^3-x^2-3404549374x-76459725485676\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.r2 |
272734r1 |
272734.r |
272734r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{30} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$71884800$ |
$3.424599$ |
$-1753396709868750829527/68729140412416$ |
$1.15488$ |
$5.52410$ |
$[1, -1, 0, -212782334, -1194666915436]$ |
\(y^2+xy=x^3-x^2-212782334x-1194666915436\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.s1 |
272734s1 |
272734.s |
272734s |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{8} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$92$ |
$4$ |
$0$ |
$2.637116032$ |
$1$ |
|
$2$ |
$39536640$ |
$3.302868$ |
$-33843179482786377/26543104$ |
$0.97123$ |
$5.50637$ |
$[1, -1, 0, -197617646, 1069318441428]$ |
\(y^2+xy=x^3-x^2-197617646x+1069318441428\) |
4.2.0.a.1, 92.4.0.? |
$[(8108, -5622)]$ |
| 272734.t1 |
272734t3 |
272734.t |
272734t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{11} \cdot 11^{14} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1592524800$ |
$5.098282$ |
$94330402966367419784492146833/3811688036319086$ |
$1.04873$ |
$7.41272$ |
$[1, -1, 0, -562286223263, 162287344528684535]$ |
\(y^2+xy=x^3-x^2-562286223263x+162287344528684535\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.1, 56.24.0.bp.1, $\ldots$ |
$[]$ |
| 272734.t2 |
272734t4 |
272734.t |
272734t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{26} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1592524800$ |
$5.098282$ |
$31329713901973986300131793/10214846346887693144018$ |
$1.03796$ |
$6.77275$ |
$[1, -1, 0, -38939678003, 1954245810225099]$ |
\(y^2+xy=x^3-x^2-38939678003x+1954245810225099\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 272734.t3 |
272734t2 |
272734.t |
272734t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{16} \cdot 11^{10} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$796262400$ |
$4.751701$ |
$23033216869836569212815153/4629376217085372676$ |
$1.09666$ |
$6.74817$ |
$[1, -1, 0, -35144584393, 2535489444214425]$ |
\(y^2+xy=x^3-x^2-35144584393x+2535489444214425\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[]$ |
| 272734.t4 |
272734t1 |
272734.t |
272734t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{11} \cdot 11^{8} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$398131200$ |
$4.405128$ |
$-4001637980024799157233/2548110404539996912$ |
$1.08720$ |
$6.11572$ |
$[1, -1, 0, -1961038613, 48442418385829]$ |
\(y^2+xy=x^3-x^2-1961038613x+48442418385829\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 272734.u1 |
272734u1 |
272734.u |
272734u |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{13} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$224640$ |
$0.715297$ |
$23055209793/4333568$ |
$0.88963$ |
$2.60052$ |
$[1, -1, 0, -1073, -10851]$ |
\(y^2+xy=x^3-x^2-1073x-10851\) |
8.2.0.b.1 |
$[]$ |
| 272734.v1 |
272734v1 |
272734.v |
272734v |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{2} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.772329060$ |
$1$ |
|
$0$ |
$684288$ |
$1.371651$ |
$345893625/1058$ |
$1.00316$ |
$3.41449$ |
$[1, -1, 0, -32027, -2192261]$ |
\(y^2+xy=x^3-x^2-32027x-2192261\) |
8.2.0.b.1 |
$[(-425/2, 11/2)]$ |
| 272734.w1 |
272734w1 |
272734.w |
272734w |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{8} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4790016$ |
$2.344604$ |
$345893625/1058$ |
$1.00316$ |
$4.34731$ |
$[1, -1, 0, -1569332, 755084182]$ |
\(y^2+xy=x^3-x^2-1569332x+755084182\) |
8.2.0.b.1 |
$[]$ |
| 272734.x1 |
272734x1 |
272734.x |
272734x |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$92$ |
$4$ |
$0$ |
$1.362322889$ |
$1$ |
|
$10$ |
$866304$ |
$1.423740$ |
$165483351/103684$ |
$0.88237$ |
$3.21114$ |
$[1, -1, 0, 13711, 174257]$ |
\(y^2+xy=x^3-x^2+13711x+174257\) |
4.2.0.a.1, 92.4.0.? |
$[(58, 1049), (-8, 257)]$ |
| 272734.y1 |
272734y1 |
272734.y |
272734y |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{13} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1.791554635$ |
$1$ |
|
$4$ |
$1572480$ |
$1.688251$ |
$23055209793/4333568$ |
$0.88963$ |
$3.53334$ |
$[1, -1, 0, -52586, 3827060]$ |
\(y^2+xy=x^3-x^2-52586x+3827060\) |
8.2.0.b.1 |
$[(-257, 692)]$ |
| 272734.z1 |
272734z1 |
272734.z |
272734z |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 7^{6} \cdot 11^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$950400$ |
$1.506681$ |
$5545233/2024$ |
$0.79572$ |
$3.32298$ |
$[1, -1, 0, -21863, -750667]$ |
\(y^2+xy=x^3-x^2-21863x-750667\) |
2024.2.0.? |
$[]$ |
| 272734.ba1 |
272734ba1 |
272734.ba |
272734ba |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{5} \cdot 7^{9} \cdot 11^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9123840$ |
$2.304657$ |
$-271063881/252448$ |
$0.82365$ |
$4.09352$ |
$[1, -1, 0, -395390, 154678068]$ |
\(y^2+xy=x^3-x^2-395390x+154678068\) |
1288.2.0.? |
$[]$ |
| 272734.bb1 |
272734bb2 |
272734.bb |
272734bb |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{15} \cdot 7^{9} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1006387200$ |
$4.744125$ |
$7182115611944007873394647/11034394624$ |
$1.18976$ |
$7.12148$ |
$[1, -1, 0, -166822919335, 26226019487425533]$ |
\(y^2+xy=x^3-x^2-166822919335x+26226019487425533\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.bb2 |
272734bb1 |
272734.bb |
272734bb |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{30} \cdot 7^{9} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$503193600$ |
$4.397552$ |
$-1753396709868750829527/68729140412416$ |
$1.15488$ |
$6.45692$ |
$[1, -1, 0, -10426334375, 409791604663293]$ |
\(y^2+xy=x^3-x^2-10426334375x+409791604663293\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 272734.bc1 |
272734bc1 |
272734.bc |
272734bc |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{21} \cdot 7^{9} \cdot 11^{8} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$409812480$ |
$4.256523$ |
$18013683824433/13497989595136$ |
$1.07068$ |
$5.94298$ |
$[1, -1, 0, 112107385, 16433727529533]$ |
\(y^2+xy=x^3-x^2+112107385x+16433727529533\) |
1288.2.0.? |
$[]$ |
| 272734.bd1 |
272734bd2 |
272734.bd |
272734bd |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{8} \cdot 11^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$997920$ |
$1.417784$ |
$10154161633/24334$ |
$0.85268$ |
$3.46783$ |
$[1, 0, 1, -40010, 3070582]$ |
\(y^2+xy+y=x^3-40010x+3070582\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 184.2.0.?, 552.8.0.?, 6072.16.0.? |
$[]$ |
| 272734.bd2 |
272734bd1 |
272734.bd |
272734bd |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 7^{8} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$332640$ |
$0.868479$ |
$1877953/184$ |
$0.73074$ |
$2.78109$ |
$[1, 0, 1, -2280, -38370]$ |
\(y^2+xy+y=x^3-2280x-38370\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 184.2.0.?, 552.8.0.?, 6072.16.0.? |
$[]$ |
| 272734.be1 |
272734be1 |
272734.be |
272734be |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 7^{10} \cdot 11^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11176704$ |
$2.768780$ |
$28017563/1058$ |
$0.81537$ |
$4.64904$ |
$[1, 0, 1, -5525952, -4834451184]$ |
\(y^2+xy+y=x^3-5525952x-4834451184\) |
88.2.0.? |
$[]$ |
| 272734.bf1 |
272734bf2 |
272734.bf |
272734bf |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{7} \cdot 11^{21} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$35420$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$1036800000$ |
$5.015511$ |
$3457421777436801623930814481/2690147821103679244$ |
$1.02089$ |
$7.14856$ |
$[1, 0, 1, -186777403629, -31069519745555700]$ |
\(y^2+xy+y=x^3-186777403629x-31069519745555700\) |
5.12.0.a.2, 385.24.0.?, 460.24.0.?, 7084.2.0.?, 35420.48.1.? |
$[]$ |
| 272734.bf2 |
272734bf1 |
272734.bf |
272734bf |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{11} \cdot 11^{9} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$35420$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$207360000$ |
$4.210793$ |
$1914421473306136725841/147437307865222144$ |
$0.97937$ |
$5.99752$ |
$[1, 0, 1, -1533743489, 21526037081140]$ |
\(y^2+xy+y=x^3-1533743489x+21526037081140\) |
5.12.0.a.1, 385.24.0.?, 460.24.0.?, 7084.2.0.?, 35420.48.1.? |
$[]$ |
| 272734.bg1 |
272734bg1 |
272734.bg |
272734bg |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 7^{8} \cdot 11^{7} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$278208000$ |
$4.287315$ |
$25286724761962890625/14582131947204448$ |
$1.22103$ |
$5.96276$ |
$[1, 0, 1, -1326690951, 1102100611434]$ |
\(y^2+xy+y=x^3-1326690951x+1102100611434\) |
88.2.0.? |
$[]$ |
| 272734.bh1 |
272734bh1 |
272734.bh |
272734bh |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 7^{9} \cdot 11^{7} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36126720$ |
$3.343830$ |
$300318807853063/8771141632$ |
$0.92466$ |
$5.21214$ |
$[1, 0, 1, -57902738, -165258653276]$ |
\(y^2+xy+y=x^3-57902738x-165258653276\) |
7084.2.0.? |
$[]$ |
| 272734.bi1 |
272734bi1 |
272734.bi |
272734bi |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{13} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$2.119338246$ |
$1$ |
|
$4$ |
$9031680$ |
$2.698910$ |
$76922876001889/833425516$ |
$0.89048$ |
$4.63690$ |
$[1, 0, 1, -5253218, -4591172456]$ |
\(y^2+xy+y=x^3-5253218x-4591172456\) |
7084.2.0.? |
$[(-1277, 6567)]$ |
| 272734.bj1 |
272734bj1 |
272734.bj |
272734bj |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{11} \cdot 7^{7} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9123840$ |
$2.509548$ |
$3288008303/438867968$ |
$0.90426$ |
$4.26748$ |
$[1, 0, 1, 183675, -459133776]$ |
\(y^2+xy+y=x^3+183675x-459133776\) |
14168.2.0.? |
$[]$ |
| 272734.bk1 |
272734bk1 |
272734.bk |
272734bk |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 7^{10} \cdot 11^{9} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$48384000$ |
$3.448154$ |
$25248276104737/11918987872$ |
$0.93957$ |
$5.16978$ |
$[1, 0, 1, -48523060, -55849357742]$ |
\(y^2+xy+y=x^3-48523060x-55849357742\) |
88.2.0.? |
$[]$ |
| 272734.bl1 |
272734bl1 |
272734.bl |
272734bl |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{7} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7084$ |
$2$ |
$0$ |
$1.345003073$ |
$1$ |
|
$2$ |
$294912$ |
$0.803062$ |
$1225043/644$ |
$0.75535$ |
$2.62759$ |
$[1, 0, 1, -1202, -4952]$ |
\(y^2+xy+y=x^3-1202x-4952\) |
7084.2.0.? |
$[(109, 1023)]$ |
| 272734.bm1 |
272734bm2 |
272734.bm |
272734bm |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 7^{8} \cdot 11^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$4.306984203$ |
$1$ |
|
$2$ |
$8847360$ |
$2.514366$ |
$11704814052625/66001628$ |
$0.87622$ |
$4.48648$ |
$[1, 1, 0, -2804540, 1797762212]$ |
\(y^2+xy=x^3+x^2-2804540x+1797762212\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(139, 37489)]$ |
