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 |
50025.a1 |
50025i1 |
50025.a |
50025i |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{2} \cdot 23 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$0.966909769$ |
$1$ |
|
$4$ |
$81216$ |
$0.622924$ |
$-21669680312320/45436707$ |
$0.88193$ |
$3.13573$ |
$[0, -1, 1, -1698, -26422]$ |
\(y^2+y=x^3-x^2-1698x-26422\) |
1334.2.0.? |
$[(51, 130)]$ |
50025.b1 |
50025q1 |
50025.b |
50025q |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{9} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1.448511494$ |
$1$ |
|
$2$ |
$34560$ |
$0.532481$ |
$481890304/250125$ |
$0.84989$ |
$2.74021$ |
$[0, 1, 1, -408, -1156]$ |
\(y^2+y=x^3+x^2-408x-1156\) |
20010.2.0.? |
$[(-7, 37)]$ |
50025.c1 |
50025g1 |
50025.c |
50025g |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{3} \cdot 5^{8} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$2.491227390$ |
$1$ |
|
$5$ |
$41472$ |
$0.936749$ |
$5763259856089/450225$ |
$0.85441$ |
$3.60796$ |
$[1, 1, 1, -9338, 343406]$ |
\(y^2+xy+y=x^3+x^2-9338x+343406\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(56, -22)]$ |
50025.c2 |
50025g2 |
50025.c |
50025g |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{7} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.245613695$ |
$1$ |
|
$6$ |
$82944$ |
$1.283321$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.63211$ |
$[1, 1, 1, -8713, 392156]$ |
\(y^2+xy+y=x^3+x^2-8713x+392156\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(70, 327)]$ |
50025.d1 |
50025n2 |
50025.d |
50025n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{6} \cdot 5^{14} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1585152$ |
$2.332943$ |
$157264717208387436361/4368589453125$ |
$0.95575$ |
$5.19036$ |
$[1, 0, 0, -2811313, -1814502508]$ |
\(y^2+xy=x^3-2811313x-1814502508\) |
2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.? |
$[]$ |
50025.d2 |
50025n1 |
50025.d |
50025n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{12} \cdot 5^{10} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$792576$ |
$1.986372$ |
$-33974761330806841/6424789539375$ |
$0.91815$ |
$4.43646$ |
$[1, 0, 0, -168688, -30730633]$ |
\(y^2+xy=x^3-168688x-30730633\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
50025.e1 |
50025v4 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{7} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.590031$ |
$18778886261717401/732035835$ |
$0.91105$ |
$4.35554$ |
$[1, 0, 0, -138438, 19813617]$ |
\(y^2+xy=x^3-138438x+19813617\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 92.12.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
50025.e2 |
50025v3 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{10} \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.590031$ |
$512787603508921/45649063125$ |
$0.89026$ |
$4.02277$ |
$[1, 0, 0, -41688, -3017133]$ |
\(y^2+xy=x^3-41688x-3017133\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[]$ |
50025.e3 |
50025v2 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{4} \cdot 5^{8} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13340$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$92160$ |
$1.243458$ |
$5268932332201/900900225$ |
$0.85803$ |
$3.59967$ |
$[1, 0, 0, -9063, 277992]$ |
\(y^2+xy=x^3-9063x+277992\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 92.12.0.?, 116.12.0.?, 460.24.0.?, $\ldots$ |
$[]$ |
50025.e4 |
50025v1 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{8} \cdot 5^{7} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.896884$ |
$8477185319/21880935$ |
$0.82352$ |
$3.11994$ |
$[1, 0, 0, 1062, 24867]$ |
\(y^2+xy=x^3+1062x+24867\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 92.12.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
50025.f1 |
50025j1 |
50025.f |
50025j |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$125440$ |
$1.417887$ |
$4167684567498752/1031731305849$ |
$0.95670$ |
$3.77019$ |
$[0, -1, 1, -16763, -626347]$ |
\(y^2+y=x^3-x^2-16763x-626347\) |
20010.2.0.? |
$[]$ |
50025.g1 |
50025k1 |
50025.g |
50025k |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{2} \cdot 5^{4} \cdot 23^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$0.253575110$ |
$1$ |
|
$14$ |
$25344$ |
$0.467052$ |
$-419430400/3175587$ |
$0.96153$ |
$2.67434$ |
$[0, -1, 1, -133, 2268]$ |
\(y^2+y=x^3-x^2-133x+2268\) |
1334.2.0.? |
$[(32, 172), (-14, 34)]$ |
50025.h1 |
50025b1 |
50025.h |
50025b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{10} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$34.46105809$ |
$1$ |
|
$0$ |
$8386560$ |
$3.356735$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.45073$ |
$[0, -1, 1, -264942783, -1659790506157]$ |
\(y^2+y=x^3-x^2-264942783x-1659790506157\) |
1334.2.0.? |
$[(24035846507795403/15317, 3726397032447789292523531/15317)]$ |
50025.i1 |
50025f1 |
50025.i |
50025f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{9} \cdot 23^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$0.326413468$ |
$1$ |
|
$4$ |
$161280$ |
$1.592375$ |
$245973316796416/69995230125$ |
$0.93654$ |
$3.95488$ |
$[0, -1, 1, -32633, 1628543]$ |
\(y^2+y=x^3-x^2-32633x+1628543\) |
20010.2.0.? |
$[(-173, 1437)]$ |
50025.j1 |
50025a1 |
50025.j |
50025a |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$0.696514942$ |
$1$ |
|
$6$ |
$18432$ |
$0.397895$ |
$32768000/54027$ |
$0.84561$ |
$2.54857$ |
$[0, -1, 1, 167, -1182]$ |
\(y^2+y=x^3-x^2+167x-1182\) |
1334.2.0.? |
$[(22, 112)]$ |
50025.k1 |
50025e2 |
50025.k |
50025e |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{5} \cdot 5^{21} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$14.22125668$ |
$1$ |
|
$0$ |
$4665600$ |
$3.232010$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03653$ |
$[0, -1, 1, -59476533, -176261481907]$ |
\(y^2+y=x^3-x^2-59476533x-176261481907\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 4002.8.0.?, 20010.16.0.? |
$[(-17431267/62, 3170055861/62)]$ |
50025.k2 |
50025e1 |
50025.k |
50025e |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{15} \cdot 5^{11} \cdot 23 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$4.740418895$ |
$1$ |
|
$0$ |
$1555200$ |
$2.682705$ |
$210966209738334797824/25153051046653125$ |
$1.05362$ |
$5.21751$ |
$[0, -1, 1, -3100533, 1873464968]$ |
\(y^2+y=x^3-x^2-3100533x+1873464968\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 4002.8.0.?, 20010.16.0.? |
$[(2333/2, 129771/2)]$ |
50025.l1 |
50025d1 |
50025.l |
50025d |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{2} \cdot 5^{2} \cdot 23 \cdot 29^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$0.757423922$ |
$1$ |
|
$8$ |
$32640$ |
$0.803213$ |
$-1605688360960/4245807843$ |
$0.93632$ |
$3.05359$ |
$[0, -1, 1, -713, 17543]$ |
\(y^2+y=x^3-x^2-713x+17543\) |
1334.2.0.? |
$[(197/2, 2519/2), (13, 101)]$ |
50025.m1 |
50025c1 |
50025.m |
50025c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{9} \cdot 23 \cdot 29^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$90.85742399$ |
$1$ |
|
$0$ |
$51367680$ |
$4.449242$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$7.08447$ |
$[0, -1, 1, -2605193533, 16913745257718]$ |
\(y^2+y=x^3-x^2-2605193533x+16913745257718\) |
20010.2.0.? |
$[(-9297047722867995539010689064870091254492/433827172232997887, 408753024751374813895355883142914856456788742058597516220111/433827172232997887)]$ |
50025.n1 |
50025y1 |
50025.n |
50025y |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{2} \cdot 5^{8} \cdot 23 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1.218496037$ |
$1$ |
|
$2$ |
$163200$ |
$1.607931$ |
$-1605688360960/4245807843$ |
$0.93632$ |
$3.94605$ |
$[0, 1, 1, -17833, 2157244]$ |
\(y^2+y=x^3+x^2-17833x+2157244\) |
1334.2.0.? |
$[(34, 1261)]$ |
50025.o1 |
50025o1 |
50025.o |
50025o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{11} \cdot 23^{3} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$3.219357438$ |
$1$ |
|
$2$ |
$2016000$ |
$2.791729$ |
$25101212833837967048704/2339617030153125$ |
$1.00166$ |
$5.65917$ |
$[0, 1, 1, -15249783, 22914601844]$ |
\(y^2+y=x^3+x^2-15249783x+22914601844\) |
20010.2.0.? |
$[(1298, 72862)]$ |
50025.p1 |
50025p1 |
50025.p |
50025p |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{2} \cdot 5^{10} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$6.121128728$ |
$1$ |
|
$2$ |
$126720$ |
$1.271770$ |
$-419430400/3175587$ |
$0.96153$ |
$3.56680$ |
$[0, 1, 1, -3333, 276869]$ |
\(y^2+y=x^3+x^2-3333x+276869\) |
1334.2.0.? |
$[(419, 8521)]$ |
50025.q1 |
50025x1 |
50025.q |
50025x |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{9} \cdot 23 \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$627200$ |
$2.222607$ |
$4167684567498752/1031731305849$ |
$0.95670$ |
$4.66264$ |
$[0, 1, 1, -419083, -79131506]$ |
\(y^2+y=x^3+x^2-419083x-79131506\) |
20010.2.0.? |
$[]$ |
50025.r1 |
50025l1 |
50025.r |
50025l |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{8} \cdot 5^{6} \cdot 23 \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$1.880941$ |
$36120262639616/3095193917547$ |
$1.02550$ |
$4.23884$ |
$[0, 1, 1, 17217, 10550594]$ |
\(y^2+y=x^3+x^2+17217x+10550594\) |
1334.2.0.? |
$[]$ |
50025.s1 |
50025r1 |
50025.s |
50025r |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{3} \cdot 5^{7} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1.551924028$ |
$1$ |
|
$0$ |
$39168$ |
$0.594681$ |
$14959673344/90045$ |
$0.80703$ |
$3.05771$ |
$[0, 1, 1, -1283, -18031]$ |
\(y^2+y=x^3+x^2-1283x-18031\) |
20010.2.0.? |
$[(-83/2, 71/2)]$ |
50025.t1 |
50025s4 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{9} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1179648$ |
$2.516716$ |
$262537424941059264096001/250125$ |
$1.01946$ |
$5.87613$ |
$[1, 0, 1, -33350001, -74132417477]$ |
\(y^2+xy+y=x^3-33350001x-74132417477\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 16008.24.0.?, 20010.6.0.?, $\ldots$ |
$[]$ |
50025.t2 |
50025s2 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{12} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$40020$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$589824$ |
$2.170143$ |
$64096096056024006001/62562515625$ |
$0.95193$ |
$5.10740$ |
$[1, 0, 1, -2084376, -1158448727]$ |
\(y^2+xy+y=x^3-2084376x-1158448727\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 8004.24.0.?, 40020.48.0.? |
$[]$ |
50025.t3 |
50025s3 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{9} \cdot 23^{4} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1179648$ |
$2.516716$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.11029$ |
$[1, 0, 1, -2068751, -1176667477]$ |
\(y^2+xy+y=x^3-2068751x-1176667477\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 16008.24.0.?, 80040.48.0.? |
$[]$ |
50025.t4 |
50025s1 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{18} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.823570$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.34076$ |
$[1, 0, 1, -131251, -17823727]$ |
\(y^2+xy+y=x^3-131251x-17823727\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[]$ |
50025.u1 |
50025t1 |
50025.u |
50025t |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{7} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$0.668603$ |
$146363183/1458729$ |
$0.85376$ |
$2.88760$ |
$[1, 0, 1, 274, -7027]$ |
\(y^2+xy+y=x^3+274x-7027\) |
8004.2.0.? |
$[]$ |
50025.v1 |
50025m2 |
50025.v |
50025m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{10} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141312$ |
$1.306013$ |
$290656902035521/86293125$ |
$0.88440$ |
$3.97030$ |
$[1, 0, 1, -34501, 2463023]$ |
\(y^2+xy+y=x^3-34501x+2463023\) |
2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.? |
$[]$ |
50025.v2 |
50025m1 |
50025.v |
50025m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{8} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$70656$ |
$0.959439$ |
$-46694890801/39169575$ |
$0.82606$ |
$3.24570$ |
$[1, 0, 1, -1876, 48773]$ |
\(y^2+xy+y=x^3-1876x+48773\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
50025.w1 |
50025u1 |
50025.w |
50025u |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{8} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$0.539078$ |
$7088952961/50025$ |
$0.78758$ |
$2.98869$ |
$[1, 0, 1, -1001, 12023]$ |
\(y^2+xy+y=x^3-1001x+12023\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[]$ |
50025.w2 |
50025u2 |
50025.w |
50025u |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{2} \cdot 5^{7} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$0.885652$ |
$-374805361/20020005$ |
$0.84818$ |
$3.13618$ |
$[1, 0, 1, -376, 27023]$ |
\(y^2+xy+y=x^3-376x+27023\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[]$ |
50025.x1 |
50025h1 |
50025.x |
50025h |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{9} \cdot 5^{11} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$30.69292223$ |
$1$ |
|
$0$ |
$933120$ |
$1.991835$ |
$3511697101967355904/41026753125$ |
$0.94848$ |
$4.83899$ |
$[0, -1, 1, -791658, -270849157]$ |
\(y^2+y=x^3-x^2-791658x-270849157\) |
20010.2.0.? |
$[(-854265531319723/1291394, 59639528179651484433/1291394)]$ |
50025.y1 |
50025w1 |
50025.y |
50025w |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{8} \cdot 23 \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$406080$ |
$1.427643$ |
$-21669680312320/45436707$ |
$0.88193$ |
$4.02818$ |
$[0, 1, 1, -42458, -3387631]$ |
\(y^2+y=x^3+x^2-42458x-3387631\) |
1334.2.0.? |
$[]$ |