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 |
228888.a1 |
228888ba2 |
228888.a |
228888ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$29196288$ |
$3.012482$ |
$86265529686/30116537$ |
$0.98510$ |
$4.83690$ |
$[0, 0, 0, -9121707, -6678977850]$ |
\(y^2=x^3-9121707x-6678977850\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[ ]$ |
228888.a2 |
228888ba1 |
228888.a |
228888ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14598144$ |
$2.665909$ |
$12628458252/384659$ |
$0.93972$ |
$4.62503$ |
$[0, 0, 0, -3815667, 2792303550]$ |
\(y^2=x^3-3815667x+2792303550\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[ ]$ |
228888.b1 |
228888bi1 |
228888.b |
228888bi |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$0.609137$ |
$-167042/11$ |
$0.89778$ |
$2.59432$ |
$[0, 0, 0, -867, -10370]$ |
\(y^2=x^3-867x-10370\) |
88.2.0.? |
$[ ]$ |
228888.c1 |
228888bb1 |
228888.c |
228888bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.531076222$ |
$1$ |
|
$16$ |
$87552$ |
$0.297797$ |
$198288/121$ |
$0.71616$ |
$2.16392$ |
$[0, 0, 0, 153, 170]$ |
\(y^2=x^3+153x+170\) |
6.2.0.a.1 |
$[(13, 66), (1, 18)]$ |
228888.d1 |
228888cf1 |
228888.d |
228888cf |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 11^{2} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.943052921$ |
$1$ |
|
$8$ |
$4465152$ |
$2.263710$ |
$198288/121$ |
$0.71616$ |
$4.07551$ |
$[0, 0, 0, 397953, -22550670]$ |
\(y^2=x^3+397953x-22550670\) |
6.2.0.a.1 |
$[(867, 31212), (2890, 158950)]$ |
228888.e1 |
228888cg2 |
228888.e |
228888cg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{10} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$203489280$ |
$3.992012$ |
$23152316479601292/7495915709689$ |
$0.99956$ |
$5.79363$ |
$[0, 0, 0, -467001747, -2578192897410]$ |
\(y^2=x^3-467001747x-2578192897410\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |
228888.e2 |
228888cg1 |
228888.e |
228888cg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{5} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101744640$ |
$3.645439$ |
$68285541719739888/13451140571$ |
$0.98568$ |
$5.76894$ |
$[0, 0, 0, -421900407, -3334948281270]$ |
\(y^2=x^3-421900407x-3334948281270\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
228888.f1 |
228888a1 |
228888.f |
228888a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7077888$ |
$2.384953$ |
$1055028224/4377483$ |
$0.89121$ |
$4.19194$ |
$[0, 0, 0, 350268, 198190420]$ |
\(y^2=x^3+350268x+198190420\) |
374.2.0.? |
$[ ]$ |
228888.g1 |
228888bj1 |
228888.g |
228888bj |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.384801131$ |
$1$ |
|
$6$ |
$1880064$ |
$1.965136$ |
$17408/99$ |
$0.87983$ |
$3.78779$ |
$[0, 0, 0, 58956, 16370116]$ |
\(y^2=x^3+58956x+16370116\) |
22.2.0.a.1 |
$[(578, 15606)]$ |
228888.h1 |
228888b1 |
228888.h |
228888b |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$6.462458006$ |
$1$ |
|
$2$ |
$9596160$ |
$2.764759$ |
$-2249178948/161051$ |
$1.02305$ |
$4.68677$ |
$[0, 0, 0, -4731219, -4198934754]$ |
\(y^2=x^3-4731219x-4198934754\) |
22.2.0.a.1 |
$[(10114, 991232)]$ |
228888.i1 |
228888c1 |
228888.i |
228888c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$6.856422603$ |
$1$ |
|
$0$ |
$516096$ |
$1.336700$ |
$-27648/11$ |
$0.78666$ |
$3.23205$ |
$[0, 0, 0, -10404, -530604]$ |
\(y^2=x^3-10404x-530604\) |
22.2.0.a.1 |
$[(27268/9, 4258126/9)]$ |
228888.j1 |
228888bk1 |
228888.j |
228888bk |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$5.838899464$ |
$1$ |
|
$11$ |
$2064384$ |
$1.999310$ |
$676449508/561$ |
$0.83058$ |
$4.12080$ |
$[0, 0, 0, -479451, 127688870]$ |
\(y^2=x^3-479451x+127688870\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(527, 4624), (263, 4448)]$ |
228888.j2 |
228888bk2 |
228888.j |
228888bk |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{2} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$5.838899464$ |
$1$ |
|
$9$ |
$4128768$ |
$2.345882$ |
$-162365474/314721$ |
$0.85819$ |
$4.18046$ |
$[0, 0, 0, -375411, 184640366]$ |
\(y^2=x^3-375411x+184640366\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(-170, 15606), (374, 9826)]$ |
228888.k1 |
228888d4 |
228888.k |
228888d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.891891585$ |
$1$ |
|
$5$ |
$3538944$ |
$2.135235$ |
$37736227588/33$ |
$0.98449$ |
$4.44667$ |
$[0, 0, 0, -1831971, -954389554]$ |
\(y^2=x^3-1831971x-954389554\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(-781, 16)]$ |
228888.k2 |
228888d3 |
228888.k |
228888d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.891891585$ |
$1$ |
|
$5$ |
$3538944$ |
$2.135235$ |
$122657188/43923$ |
$0.95383$ |
$3.98245$ |
$[0, 0, 0, -271371, 33595094]$ |
\(y^2=x^3-271371x+33595094\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(731, 15028)]$ |
228888.k3 |
228888d2 |
228888.k |
228888d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1.445945792$ |
$1$ |
|
$13$ |
$1769472$ |
$1.788660$ |
$37642192/1089$ |
$0.89513$ |
$3.77440$ |
$[0, 0, 0, -115311, -14689870]$ |
\(y^2=x^3-115311x-14689870\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(-203, 594)]$ |
228888.k4 |
228888d1 |
228888.k |
228888d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.891891585$ |
$1$ |
|
$5$ |
$884736$ |
$1.442087$ |
$2048/891$ |
$1.09261$ |
$3.29060$ |
$[0, 0, 0, 1734, -761515]$ |
\(y^2=x^3+1734x-761515\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(166, 2025)]$ |
228888.l1 |
228888bc2 |
228888.l |
228888bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.230654138$ |
$1$ |
|
$7$ |
$737280$ |
$1.584528$ |
$64314864/3179$ |
$0.80989$ |
$3.55074$ |
$[0, 0, 0, -45951, 3625794]$ |
\(y^2=x^3-45951x+3625794\) |
2.3.0.a.1, 66.6.0.a.1, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(85, 578)]$ |
228888.l2 |
228888bc1 |
228888.l |
228888bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.461308277$ |
$1$ |
|
$5$ |
$368640$ |
$1.237953$ |
$55296/2057$ |
$0.88377$ |
$3.09017$ |
$[0, 0, 0, 1734, 221085]$ |
\(y^2=x^3+1734x+221085\) |
2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(-18, 429)]$ |
228888.m1 |
228888e1 |
228888.m |
228888e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82080$ |
$0.372450$ |
$17408/11$ |
$0.65958$ |
$2.23385$ |
$[0, 0, 0, 204, 340]$ |
\(y^2=x^3+204x+340\) |
22.2.0.a.1 |
$[ ]$ |
228888.n1 |
228888bl1 |
228888.n |
228888bl |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.438611696$ |
$1$ |
|
$14$ |
$262656$ |
$1.081112$ |
$591872/3267$ |
$0.89940$ |
$2.92786$ |
$[0, 0, 0, 1734, 81209]$ |
\(y^2=x^3+1734x+81209\) |
6.2.0.a.1 |
$[(136, 1683), (4, 297)]$ |
228888.o1 |
228888bm1 |
228888.o |
228888bm |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.599353256$ |
$1$ |
|
$6$ |
$5308416$ |
$2.498058$ |
$-3962770432/16495083$ |
$0.90694$ |
$4.32215$ |
$[0, 0, 0, -544476, -442621996]$ |
\(y^2=x^3-544476x-442621996\) |
374.2.0.? |
$[(1666, 57222)]$ |
228888.p1 |
228888bn1 |
228888.p |
228888bn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2506752$ |
$2.169262$ |
$390224/33$ |
$0.72438$ |
$4.09289$ |
$[0, 0, 0, -427431, -99389990]$ |
\(y^2=x^3-427431x-99389990\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[ ]$ |
228888.p2 |
228888bn2 |
228888.p |
228888bn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5013504$ |
$2.515835$ |
$119164/1089$ |
$0.84060$ |
$4.32740$ |
$[0, 0, 0, 456909, -457193954]$ |
\(y^2=x^3+456909x-457193954\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
228888.q1 |
228888bo2 |
228888.q |
228888bo |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$26542080$ |
$3.302006$ |
$110725946217794/21954955473$ |
$0.95362$ |
$5.14980$ |
$[0, 0, 0, -33043971, 59277654110]$ |
\(y^2=x^3-33043971x+59277654110\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
228888.q2 |
228888bo1 |
228888.q |
228888bo |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$2.955433$ |
$187761599684068/10385793$ |
$0.94659$ |
$5.13643$ |
$[0, 0, 0, -31275291, 67317719654]$ |
\(y^2=x^3-31275291x+67317719654\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
228888.r1 |
228888g2 |
228888.r |
228888g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$4.562606358$ |
$1$ |
|
$1$ |
$5308416$ |
$2.545399$ |
$30248395634/1499553$ |
$0.88414$ |
$4.48491$ |
$[0, 0, 0, -2144091, 1155488470]$ |
\(y^2=x^3-2144091x+1155488470\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(50201/4, 10182915/4)]$ |
228888.r2 |
228888g1 |
228888.r |
228888g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$9.125212717$ |
$1$ |
|
$1$ |
$2654208$ |
$2.198822$ |
$324730948/85833$ |
$0.83181$ |
$4.06134$ |
$[0, 0, 0, -375411, -65254466]$ |
\(y^2=x^3-375411x-65254466\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-197013/29, 76480960/29)]$ |
228888.s1 |
228888f2 |
228888.s |
228888f |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 11^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11698176$ |
$2.802959$ |
$30876498/14641$ |
$1.01574$ |
$4.61557$ |
$[0, 0, 0, -3670011, -1150084170]$ |
\(y^2=x^3-3670011x-1150084170\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[ ]$ |
228888.s2 |
228888f1 |
228888.s |
228888f |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5849088$ |
$2.456387$ |
$8586756/121$ |
$0.84528$ |
$4.45570$ |
$[0, 0, 0, -1901331, 996739614]$ |
\(y^2=x^3-1901331x+996739614\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[ ]$ |
228888.t1 |
228888h1 |
228888.t |
228888h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1507968$ |
$1.785435$ |
$7344/11$ |
$0.53884$ |
$3.57887$ |
$[0, 0, 0, 44217, -4510134]$ |
\(y^2=x^3+44217x-4510134\) |
22.2.0.a.1 |
$[ ]$ |
228888.u1 |
228888bp1 |
228888.u |
228888bp |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.210123714$ |
$1$ |
|
$2$ |
$984960$ |
$1.666126$ |
$-55529565136/1331$ |
$0.93717$ |
$3.90649$ |
$[0, 0, 0, -198543, 34051714]$ |
\(y^2=x^3-198543x+34051714\) |
22.2.0.a.1 |
$[(255, 68)]$ |
228888.v1 |
228888bq1 |
228888.v |
228888bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.778984$ |
$-1024/3179$ |
$0.89430$ |
$3.61846$ |
$[0, 0, 0, -3468, 5758036]$ |
\(y^2=x^3-3468x+5758036\) |
22.2.0.a.1 |
$[ ]$ |
228888.w1 |
228888i1 |
228888.w |
228888i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$7.092156250$ |
$1$ |
|
$0$ |
$734400$ |
$1.582115$ |
$-34816/11$ |
$0.64817$ |
$3.47812$ |
$[0, 0, 0, -29478, 2422109]$ |
\(y^2=x^3-29478x+2422109\) |
22.2.0.a.1 |
$[(1378/3, 33047/3)]$ |
228888.x1 |
228888j1 |
228888.x |
228888j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$15.06329774$ |
$1$ |
|
$0$ |
$2937600$ |
$2.370136$ |
$-1156/11$ |
$0.75542$ |
$4.19472$ |
$[0, 0, 0, -250563, 201619694]$ |
\(y^2=x^3-250563x+201619694\) |
22.2.0.a.1 |
$[(-1582334/57, 2671741988/57)]$ |
228888.y1 |
228888br1 |
228888.y |
228888br |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2203200$ |
$1.948822$ |
$-34816/1331$ |
$0.85576$ |
$3.78360$ |
$[0, 0, 0, -29478, -15952511]$ |
\(y^2=x^3-29478x-15952511\) |
22.2.0.a.1 |
$[ ]$ |
228888.z1 |
228888bs1 |
228888.z |
228888bs |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 11^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31334400$ |
$3.317860$ |
$860492463104/1056655611$ |
$0.97677$ |
$5.05619$ |
$[0, 0, 0, 21636852, -41031862796]$ |
\(y^2=x^3+21636852x-41031862796\) |
22.2.0.a.1 |
$[ ]$ |
228888.ba1 |
228888k1 |
228888.ba |
228888k |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$2.960177988$ |
$1$ |
|
$2$ |
$737280$ |
$1.622431$ |
$-3456000/187$ |
$0.89087$ |
$3.58814$ |
$[0, 0, 0, -52020, -4775436]$ |
\(y^2=x^3-52020x-4775436\) |
374.2.0.? |
$[(1836, 78030)]$ |
228888.bb1 |
228888l1 |
228888.bb |
228888l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{5} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1.693957337$ |
$1$ |
|
$4$ |
$522240$ |
$1.399944$ |
$16000000/161051$ |
$1.03079$ |
$3.24297$ |
$[0, 0, 0, 5100, -567596]$ |
\(y^2=x^3+5100x-567596\) |
374.2.0.? |
$[(68, 306)]$ |
228888.bc1 |
228888bd1 |
228888.bc |
228888bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.717507651$ |
$1$ |
|
$12$ |
$52992$ |
$0.295665$ |
$-117504000/121$ |
$0.92745$ |
$2.45674$ |
$[0, 0, 0, -510, 4437]$ |
\(y^2=x^3-510x+4437\) |
6.2.0.a.1 |
$[(18, 33), (9, 24)]$ |
228888.bd1 |
228888ch1 |
228888.bd |
228888ch |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.832497667$ |
$1$ |
|
$8$ |
$158976$ |
$0.844971$ |
$-117504000/121$ |
$0.92745$ |
$2.99087$ |
$[0, 0, 0, -4590, -119799]$ |
\(y^2=x^3-4590x-119799\) |
6.2.0.a.1 |
$[(144, 1485), (100, 649)]$ |
228888.be1 |
228888bt1 |
228888.be |
228888bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$2.182888541$ |
$1$ |
|
$5$ |
$655360$ |
$1.526468$ |
$62500/33$ |
$1.02621$ |
$3.36807$ |
$[0, 0, 0, -21675, -363562]$ |
\(y^2=x^3-21675x-363562\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-34, 578)]$ |
228888.be2 |
228888bt2 |
228888.be |
228888bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$4.365777083$ |
$1$ |
|
$3$ |
$1310720$ |
$1.873043$ |
$1714750/1089$ |
$1.18812$ |
$3.69260$ |
$[0, 0, 0, 82365, -2839714]$ |
\(y^2=x^3+82365x-2839714\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(1190, 42194)]$ |
228888.bf1 |
228888bu1 |
228888.bf |
228888bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$5.945358647$ |
$1$ |
|
$1$ |
$4423680$ |
$2.431190$ |
$282841522000/772497$ |
$0.95384$ |
$4.49756$ |
$[0, 0, 0, -2258535, -1303350118]$ |
\(y^2=x^3-2258535x-1303350118\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(212194/11, 15122214/11)]$ |
228888.bf2 |
228888bu2 |
228888.bf |
228888bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{16} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$11.89071729$ |
$1$ |
|
$1$ |
$8847360$ |
$2.777763$ |
$-15927506500/121463793$ |
$0.99730$ |
$4.59164$ |
$[0, 0, 0, -1374195, -2334667426]$ |
\(y^2=x^3-1374195x-2334667426\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(1448137/2, 1742658093/2)]$ |
228888.bg1 |
228888be2 |
228888.bg |
228888be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$9.158512489$ |
$1$ |
|
$9$ |
$589824$ |
$1.415367$ |
$1687500/121$ |
$1.15454$ |
$3.36807$ |
$[0, 0, 0, -21675, -1149642]$ |
\(y^2=x^3-21675x-1149642\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-69, 132), (1086, 35442)]$ |
228888.bg2 |
228888be1 |
228888.bg |
228888be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.289628122$ |
$1$ |
|
$13$ |
$294912$ |
$1.068794$ |
$54000/11$ |
$0.83260$ |
$2.97683$ |
$[0, 0, 0, -4335, 88434]$ |
\(y^2=x^3-4335x+88434\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(85, 578), (-255/2, 2601/2)]$ |
228888.bh1 |
228888m1 |
228888.bh |
228888m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$8.960820218$ |
$1$ |
|
$1$ |
$30965760$ |
$3.398281$ |
$840308702533978500/594473$ |
$1.02017$ |
$5.81760$ |
$[0, 0, 0, -515401155, 4503666202542]$ |
\(y^2=x^3-515401155x+4503666202542\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(62379154/69, 335204164/69)]$ |
228888.bh2 |
228888m2 |
228888.bh |
228888m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 11^{4} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$17.92164043$ |
$1$ |
|
$1$ |
$61931520$ |
$3.744858$ |
$-419899962807227250/353398147729$ |
$1.05242$ |
$5.81767$ |
$[0, 0, 0, -515297115, 4505575315734]$ |
\(y^2=x^3-515297115x+4505575315734\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(31527790113/1844, 4542615664731441/1844)]$ |
228888.bi1 |
228888ci2 |
228888.bi |
228888ci |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.964674$ |
$1687500/121$ |
$1.15454$ |
$3.90220$ |
$[0, 0, 0, -195075, 31040334]$ |
\(y^2=x^3-195075x+31040334\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |