| 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 |
| 221991.a1 |
221991d1 |
221991.a |
221991d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{11} \cdot 7^{3} \cdot 11^{2} \cdot 31^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32474112$ |
$3.147747$ |
$13549359104/7352131941$ |
$1.00584$ |
$4.96148$ |
$[0, -1, 1, 1479620, -21201704946]$ |
\(y^2+y=x^3-x^2+1479620x-21201704946\) |
1302.2.0.? |
$[]$ |
| 221991.b1 |
221991b1 |
221991.b |
221991b |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{15} \cdot 7^{3} \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$1.260610337$ |
$1$ |
|
$4$ |
$58060800$ |
$3.514347$ |
$-146810225600966656/17741216375000811$ |
$1.00954$ |
$5.31893$ |
$[0, 1, 1, -10561710, 191365794758]$ |
\(y^2+y=x^3+x^2-10561710x+191365794758\) |
1302.2.0.? |
$[(816, 428125)]$ |
| 221991.c1 |
221991a1 |
221991.c |
221991a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{11} \cdot 7^{3} \cdot 11^{2} \cdot 31^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$0.166511945$ |
$1$ |
|
$26$ |
$1047552$ |
$1.430752$ |
$13549359104/7352131941$ |
$1.00584$ |
$3.28778$ |
$[0, 1, 1, 1540, 712178]$ |
\(y^2+y=x^3+x^2+1540x+712178\) |
1302.2.0.? |
$[(196, 2929), (-74, 445)]$ |
| 221991.d1 |
221991c1 |
221991.d |
221991c |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{3} \cdot 7 \cdot 11^{2} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.519550$ |
$20123648/708939$ |
$0.80697$ |
$3.37224$ |
$[0, 1, 1, 5446, -1195066]$ |
\(y^2+y=x^3+x^2+5446x-1195066\) |
1302.2.0.? |
$[]$ |
| 221991.e1 |
221991i2 |
221991.e |
221991i |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{5} \cdot 7^{2} \cdot 11^{4} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2604$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$655360$ |
$1.376600$ |
$250702456891375/174330387$ |
$0.93444$ |
$3.53013$ |
$[1, 1, 1, -40723, -3178132]$ |
\(y^2+xy+y=x^3+x^2-40723x-3178132\) |
2.3.0.a.1, 84.6.0.?, 186.6.0.?, 868.6.0.?, 2604.12.0.? |
$[]$ |
| 221991.e2 |
221991i1 |
221991.e |
221991i |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{10} \cdot 7 \cdot 11^{2} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2604$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.030027$ |
$106159765375/50014503$ |
$0.90131$ |
$2.89919$ |
$[1, 1, 1, -3058, -29338]$ |
\(y^2+xy+y=x^3+x^2-3058x-29338\) |
2.3.0.a.1, 84.6.0.?, 372.6.0.?, 434.6.0.?, 2604.12.0.? |
$[]$ |
| 221991.f1 |
221991j1 |
221991.f |
221991j |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{2} \cdot 7^{2} \cdot 11^{3} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.412331439$ |
$1$ |
|
$12$ |
$155520$ |
$0.555841$ |
$-230214938881/586971$ |
$0.86562$ |
$2.68348$ |
$[1, 1, 1, -1260, 16728]$ |
\(y^2+xy+y=x^3+x^2-1260x+16728\) |
22.2.0.a.1 |
$[(22, 5), (16, 23)]$ |
| 221991.g1 |
221991k1 |
221991.g |
221991k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{11} \cdot 7^{5} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28644$ |
$2$ |
$0$ |
$14.28670942$ |
$1$ |
|
$0$ |
$28807680$ |
$3.272141$ |
$18757487393/32750405919$ |
$1.00304$ |
$5.08290$ |
$[1, 1, 1, 1649056, -44762614126]$ |
\(y^2+xy+y=x^3+x^2+1649056x-44762614126\) |
28644.2.0.? |
$[(229762732/141, 3437596509953/141)]$ |
| 221991.h1 |
221991e5 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{8} \cdot 7 \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$114576$ |
$192$ |
$1$ |
$0.703347283$ |
$1$ |
|
$8$ |
$4608000$ |
$2.339783$ |
$10206027697760497/5557167$ |
$1.00022$ |
$4.66806$ |
$[1, 0, 0, -4342779, 3483007290]$ |
\(y^2+xy=x^3-4342779x+3483007290\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[(1227, 828)]$ |
| 221991.h2 |
221991e3 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 11^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$57288$ |
$192$ |
$1$ |
$1.406694567$ |
$1$ |
|
$12$ |
$2304000$ |
$1.993210$ |
$2533811507137/58110129$ |
$0.95470$ |
$3.99375$ |
$[1, 0, 0, -272944, 53764319]$ |
\(y^2+xy=x^3-272944x+53764319\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 88.24.0.?, $\ldots$ |
$[(359, 1262)]$ |
| 221991.h3 |
221991e2 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$57288$ |
$192$ |
$1$ |
$2.813389135$ |
$1$ |
|
$6$ |
$1152000$ |
$1.646637$ |
$6570725617/2614689$ |
$0.92677$ |
$3.51003$ |
$[1, 0, 0, -37499, -1565256]$ |
\(y^2+xy=x^3-37499x-1565256\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 56.24.0.m.1, 88.24.0.?, $\ldots$ |
$[(-119, 1162)]$ |
| 221991.h4 |
221991e1 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3 \cdot 7^{2} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$114576$ |
$192$ |
$1$ |
$5.626778270$ |
$1$ |
|
$1$ |
$576000$ |
$1.300062$ |
$4354703137/1617$ |
$0.90109$ |
$3.47661$ |
$[1, 0, 0, -32694, -2277357]$ |
\(y^2+xy=x^3-32694x-2277357\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 66.6.0.a.1, $\ldots$ |
$[(-929/3, 976/3)]$ |
| 221991.h5 |
221991e6 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{2} \cdot 7 \cdot 11^{8} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$114576$ |
$192$ |
$1$ |
$2.813389135$ |
$1$ |
|
$4$ |
$4608000$ |
$2.339783$ |
$3288008303/13504609503$ |
$1.06765$ |
$4.17410$ |
$[1, 0, 0, 29771, 166555928]$ |
\(y^2+xy=x^3+29771x+166555928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[(-292, 11678)]$ |
| 221991.h6 |
221991e4 |
221991.h |
221991e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7^{8} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$114576$ |
$192$ |
$1$ |
$5.626778270$ |
$1$ |
|
$0$ |
$2304000$ |
$1.993210$ |
$221115865823/190238433$ |
$0.96278$ |
$3.79564$ |
$[1, 0, 0, 121066, -11301147]$ |
\(y^2+xy=x^3+121066x-11301147\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 88.24.0.?, $\ldots$ |
$[(6796/3, 600041/3)]$ |
| 221991.i1 |
221991f2 |
221991.i |
221991f |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{5} \cdot 7^{2} \cdot 11^{4} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2604$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20316160$ |
$3.093594$ |
$250702456891375/174330387$ |
$0.93444$ |
$5.20383$ |
$[1, 0, 0, -39134823, 94170972420]$ |
\(y^2+xy=x^3-39134823x+94170972420\) |
2.3.0.a.1, 84.6.0.?, 186.6.0.?, 868.6.0.?, 2604.12.0.? |
$[]$ |
| 221991.i2 |
221991f1 |
221991.i |
221991f |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{10} \cdot 7 \cdot 11^{2} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2604$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10158080$ |
$2.747021$ |
$106159765375/50014503$ |
$0.90131$ |
$4.57289$ |
$[1, 0, 0, -2938758, 835799211]$ |
\(y^2+xy=x^3-2938758x+835799211\) |
2.3.0.a.1, 84.6.0.?, 372.6.0.?, 434.6.0.?, 2604.12.0.? |
$[]$ |
| 221991.j1 |
221991g1 |
221991.j |
221991g |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{2} \cdot 7^{2} \cdot 11^{3} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$28.93269435$ |
$1$ |
|
$0$ |
$4821120$ |
$2.272835$ |
$-230214938881/586971$ |
$0.86562$ |
$4.35718$ |
$[1, 0, 0, -1210880, -514090581]$ |
\(y^2+xy=x^3-1210880x-514090581\) |
22.2.0.a.1 |
$[(9641725923579/11398, 29880439609834571253/11398)]$ |
| 221991.k1 |
221991h1 |
221991.k |
221991h |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{11} \cdot 7^{5} \cdot 11 \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28644$ |
$2$ |
$0$ |
$0.164782013$ |
$1$ |
|
$6$ |
$929280$ |
$1.555147$ |
$18757487393/32750405919$ |
$1.00304$ |
$3.40920$ |
$[1, 0, 0, 1716, 1502721]$ |
\(y^2+xy=x^3+1716x+1502721\) |
28644.2.0.? |
$[(-75, 1014)]$ |
| 221991.l1 |
221991q1 |
221991.l |
221991q |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{15} \cdot 7^{2} \cdot 11^{2} \cdot 31^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.066239235$ |
$1$ |
|
$4$ |
$2260800$ |
$2.114475$ |
$-30462265390170112/85074669603$ |
$1.01302$ |
$4.19938$ |
$[0, -1, 1, -633619, 194808216]$ |
\(y^2+y=x^3-x^2-633619x+194808216\) |
6.2.0.a.1 |
$[(486, 1193)]$ |
| 221991.m1 |
221991r1 |
221991.m |
221991r |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 7^{10} \cdot 11^{2} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3964800$ |
$2.368641$ |
$-4763030898496000000000/74750577717123$ |
$1.10906$ |
$4.61262$ |
$[0, -1, 1, -3459083, 2477409020]$ |
\(y^2+y=x^3-x^2-3459083x+2477409020\) |
6.2.0.a.1 |
$[]$ |
| 221991.n1 |
221991s1 |
221991.n |
221991s |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 11^{4} \cdot 31^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.649966506$ |
$1$ |
|
$4$ |
$30355200$ |
$3.383904$ |
$-3582128711424114688/949132107$ |
$1.10031$ |
$5.70204$ |
$[0, -1, 1, -302299207, 2023137299709]$ |
\(y^2+y=x^3-x^2-302299207x+2023137299709\) |
6.2.0.a.1 |
$[(10251, 36998), (1692057/13, 10173489/13)]$ |
| 221991.o1 |
221991t1 |
221991.o |
221991t |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 11^{2} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$328320$ |
$0.809635$ |
$198196330496/116700507$ |
$1.00142$ |
$2.67095$ |
$[0, -1, 1, 1199, -2511]$ |
\(y^2+y=x^3-x^2+1199x-2511\) |
6.2.0.a.1 |
$[]$ |
| 221991.p1 |
221991l1 |
221991.p |
221991l |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{15} \cdot 7^{2} \cdot 11^{2} \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70084800$ |
$3.831470$ |
$-30462265390170112/85074669603$ |
$1.01302$ |
$5.87308$ |
$[0, 1, 1, -608908179, -5797442489614]$ |
\(y^2+y=x^3+x^2-608908179x-5797442489614\) |
6.2.0.a.1 |
$[]$ |
| 221991.q1 |
221991m1 |
221991.q |
221991m |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{3} \cdot 7^{5} \cdot 11^{2} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$0.217724277$ |
$1$ |
|
$6$ |
$2304000$ |
$2.168350$ |
$-40142209024/1702162539$ |
$0.92610$ |
$4.00697$ |
$[0, 1, 1, -68551, 59514187]$ |
\(y^2+y=x^3+x^2-68551x+59514187\) |
1302.2.0.? |
$[(1715, 70633)]$ |
| 221991.r1 |
221991n1 |
221991.r |
221991n |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 7^{10} \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$17.34248955$ |
$1$ |
|
$0$ |
$122908800$ |
$4.085632$ |
$-4763030898496000000000/74750577717123$ |
$1.10906$ |
$6.28632$ |
$[0, 1, 1, -3324179083, -73771250332538]$ |
\(y^2+y=x^3+x^2-3324179083x-73771250332538\) |
6.2.0.a.1 |
$[(63321210956/457, 15621742110644617/457)]$ |
| 221991.s1 |
221991o1 |
221991.s |
221991o |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 11^{4} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.290799862$ |
$1$ |
|
$4$ |
$979200$ |
$1.666912$ |
$-3582128711424114688/949132107$ |
$1.10031$ |
$4.02834$ |
$[0, 1, 1, -314567, -68012497]$ |
\(y^2+y=x^3+x^2-314567x-68012497\) |
6.2.0.a.1 |
$[(649, 1270)]$ |
| 221991.t1 |
221991p1 |
221991.t |
221991p |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.454636508$ |
$1$ |
|
$2$ |
$10177920$ |
$2.526630$ |
$198196330496/116700507$ |
$1.00142$ |
$4.34466$ |
$[0, 1, 1, 1151919, 63277463]$ |
\(y^2+y=x^3+x^2+1151919x+63277463\) |
6.2.0.a.1 |
$[(153, 15592)]$ |
| 221991.u1 |
221991v3 |
221991.u |
221991v |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3 \cdot 7^{4} \cdot 11^{4} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$57288$ |
$48$ |
$0$ |
$7.638328335$ |
$1$ |
|
$0$ |
$3440640$ |
$2.272400$ |
$26296107018553/3269232813$ |
$0.87788$ |
$4.18381$ |
$[1, 1, 0, -595359, 156426492]$ |
\(y^2+xy=x^3+x^2-595359x+156426492\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 124.12.0.?, 186.6.0.?, $\ldots$ |
$[(-38636/9, 13460212/9)]$ |
| 221991.u2 |
221991v2 |
221991.u |
221991v |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$28644$ |
$48$ |
$0$ |
$15.27665667$ |
$1$ |
|
$2$ |
$1720320$ |
$1.925827$ |
$408023180713/51279921$ |
$0.84267$ |
$3.84541$ |
$[1, 1, 0, -148494, -19548945]$ |
\(y^2+xy=x^3+x^2-148494x-19548945\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 124.12.0.?, 308.12.0.?, 372.24.0.?, $\ldots$ |
$[(-10387466/225, 18570324473/225)]$ |
| 221991.u3 |
221991v1 |
221991.u |
221991v |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( 3 \cdot 7 \cdot 11 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$57288$ |
$48$ |
$0$ |
$30.55331334$ |
$1$ |
|
$1$ |
$860160$ |
$1.579252$ |
$369682454233/7161$ |
$0.83850$ |
$3.83739$ |
$[1, 1, 0, -143689, -21024080]$ |
\(y^2+xy=x^3+x^2-143689x-21024080\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 248.12.0.?, 616.12.0.?, $\ldots$ |
$[(-131182225459196/774675, 47502582827967288242/774675)]$ |
| 221991.u4 |
221991v4 |
221991.u |
221991v |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{4} \cdot 7 \cdot 11 \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$57288$ |
$48$ |
$0$ |
$30.55331334$ |
$1$ |
|
$0$ |
$3440640$ |
$2.272400$ |
$1354000227047/5760000477$ |
$0.88620$ |
$4.09302$ |
$[1, 1, 0, 221491, -101019642]$ |
\(y^2+xy=x^3+x^2+221491x-101019642\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 124.12.0.?, 308.12.0.?, $\ldots$ |
$[(14984864667679/104850, 59503618083780267083/104850)]$ |
| 221991.v1 |
221991w1 |
221991.v |
221991w |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 11^{7} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$46.27930516$ |
$1$ |
|
$0$ |
$244984320$ |
$4.228363$ |
$-67533844668033633817/81895614230750859$ |
$0.99468$ |
$6.03238$ |
$[1, 1, 0, -804569881, 15454257473092]$ |
\(y^2+xy=x^3+x^2-804569881x+15454257473092\) |
22.2.0.a.1 |
$[(454261405997032451188/126279551, 7938173199599854250208944724560/126279551)]$ |
| 221991.w1 |
221991u1 |
221991.w |
221991u |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 11^{7} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7902720$ |
$2.511372$ |
$-67533844668033633817/81895614230750859$ |
$0.99468$ |
$4.35868$ |
$[1, 0, 1, -837222, -518836937]$ |
\(y^2+xy+y=x^3-837222x-518836937\) |
22.2.0.a.1 |
$[]$ |
| 221991.x1 |
221991bb1 |
221991.x |
221991bb |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7^{13} \cdot 11^{6} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$6.776080935$ |
$1$ |
|
$0$ |
$173721600$ |
$4.089478$ |
$-6249367399308357062656/15962965671404085411$ |
$1.00702$ |
$5.88768$ |
$[0, -1, 1, -368774460, 6342382042379]$ |
\(y^2+y=x^3-x^2-368774460x+6342382042379\) |
1302.2.0.? |
$[(-2032091/30, 72264790727/30)]$ |
| 221991.y1 |
221991bc1 |
221991.y |
221991bc |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7^{7} \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$5.548512835$ |
$1$ |
|
$0$ |
$60662784$ |
$3.345928$ |
$-22763357331853312/298946109$ |
$0.97435$ |
$5.57008$ |
$[0, -1, 1, -175895994, 897977227013]$ |
\(y^2+y=x^3-x^2-175895994x+897977227013\) |
1302.2.0.? |
$[(119849/4, 1626131/4)]$ |
| 221991.z1 |
221991x1 |
221991.z |
221991x |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7 \cdot 11^{2} \cdot 31^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$43.22564408$ |
$1$ |
|
$0$ |
$12595200$ |
$2.536945$ |
$-615686922293248/72746672691$ |
$0.90636$ |
$4.45506$ |
$[0, 1, 1, -1703212, -939416483]$ |
\(y^2+y=x^3+x^2-1703212x-939416483\) |
1302.2.0.? |
$[(445656974876319200221/461066246, 6725063863392365573117050101551/461066246)]$ |
| 221991.ba1 |
221991y1 |
221991.ba |
221991y |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3^{5} \cdot 7 \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$4.162384063$ |
$1$ |
|
$0$ |
$5068800$ |
$2.283913$ |
$9399274532864/6131613411$ |
$0.90387$ |
$4.10024$ |
$[0, 1, 1, 422520, -37569877]$ |
\(y^2+y=x^3+x^2+422520x-37569877\) |
1302.2.0.? |
$[(219777/16, 126818239/16)]$ |
| 221991.bb1 |
221991ba1 |
221991.bb |
221991ba |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7^{3} \cdot 11^{2} \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$1.701708$ |
$-17738739712/3859779$ |
$0.80509$ |
$3.61663$ |
$[0, 1, 1, -52214, 5369525]$ |
\(y^2+y=x^3+x^2-52214x+5369525\) |
1302.2.0.? |
$[]$ |
| 221991.bc1 |
221991z1 |
221991.bc |
221991z |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 31^{2} \) |
\( - 3 \cdot 7^{7} \cdot 11^{2} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1302$ |
$2$ |
$0$ |
$8.241144285$ |
$1$ |
|
$0$ |
$1956864$ |
$1.628935$ |
$-22763357331853312/298946109$ |
$0.97435$ |
$3.89638$ |
$[0, 1, 1, -183034, -30201611]$ |
\(y^2+y=x^3+x^2-183034x-30201611\) |
1302.2.0.? |
$[(110989/2, 36972239/2)]$ |
