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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
248256.a1 |
248256a2 |
248256.a |
248256a |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$51720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368000$ |
$2.573860$ |
$155125609019771539456/401559694321077$ |
$[0, 0, 0, -4029852, 3106763930]$ |
\(y^2=x^3-4029852x+3106763930\) |
5.12.0.a.2, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$ |
$[]$ |
248256.a2 |
248256a1 |
248256.a |
248256a |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{21} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$51720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2073600$ |
$1.769140$ |
$28589738658328576/6184378917$ |
$[0, 0, 0, -229332, -42263350]$ |
\(y^2=x^3-229332x-42263350\) |
5.12.0.a.1, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$ |
$[]$ |
248256.b1 |
248256b1 |
248256.b |
248256b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{14} \cdot 3^{15} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$1.248082374$ |
$1$ |
|
$2$ |
$940032$ |
$1.487179$ |
$-515004459856/8483373$ |
$[0, 0, 0, -38172, 2911120]$ |
\(y^2=x^3-38172x+2911120\) |
5172.2.0.? |
$[(149, 729)]$ |
248256.c1 |
248256c1 |
248256.c |
248256c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{14} \cdot 3^{15} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$3.341547709$ |
$1$ |
|
$4$ |
$940032$ |
$1.487179$ |
$-515004459856/8483373$ |
$[0, 0, 0, -38172, -2911120]$ |
\(y^2=x^3-38172x-2911120\) |
5172.2.0.? |
$[(226, 72)]$ |
248256.d1 |
248256d2 |
248256.d |
248256d |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$51720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368000$ |
$2.573860$ |
$155125609019771539456/401559694321077$ |
$[0, 0, 0, -4029852, -3106763930]$ |
\(y^2=x^3-4029852x-3106763930\) |
5.12.0.a.2, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$ |
$[]$ |
248256.d2 |
248256d1 |
248256.d |
248256d |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{21} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$51720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2073600$ |
$1.769140$ |
$28589738658328576/6184378917$ |
$[0, 0, 0, -229332, 42263350]$ |
\(y^2=x^3-229332x+42263350\) |
5.12.0.a.1, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$ |
$[]$ |
248256.e1 |
248256e1 |
248256.e |
248256e |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{6} \cdot 431 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$4.817094889$ |
$1$ |
|
$6$ |
$737280$ |
$1.236099$ |
$-912673/110336$ |
$[0, 0, 0, -1164, 221456]$ |
\(y^2=x^3-1164x+221456\) |
862.2.0.? |
$[(98, 1024), (370/3, 13312/3)]$ |
248256.f1 |
248256f2 |
248256.f |
248256f |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{22} \cdot 3^{6} \cdot 431^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10344$ |
$16$ |
$0$ |
$7.210675897$ |
$1$ |
|
$0$ |
$2488320$ |
$2.016994$ |
$-41314084993/1281007856$ |
$[0, 0, 0, -41484, -24026096]$ |
\(y^2=x^3-41484x-24026096\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 862.2.0.?, 2586.8.0.?, 10344.16.0.? |
$[(16626/5, 1946624/5)]$ |
248256.f2 |
248256f1 |
248256.f |
248256f |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{30} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10344$ |
$16$ |
$0$ |
$2.403558632$ |
$1$ |
|
$2$ |
$829440$ |
$1.467690$ |
$56181887/1765376$ |
$[0, 0, 0, 4596, 875536]$ |
\(y^2=x^3+4596x+875536\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 862.2.0.?, 2586.8.0.?, 10344.16.0.? |
$[(642, 16384)]$ |
248256.g1 |
248256g1 |
248256.g |
248256g |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{14} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$3.249318032$ |
$1$ |
|
$2$ |
$168960$ |
$0.697122$ |
$-61918288/431$ |
$[0, 0, 0, -1884, -31664]$ |
\(y^2=x^3-1884x-31664\) |
862.2.0.? |
$[(78, 544)]$ |
248256.h1 |
248256h1 |
248256.h |
248256h |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{18} \cdot 3^{6} \cdot 431 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$9.484980147$ |
$1$ |
|
$6$ |
$286720$ |
$0.934699$ |
$-72511713/431$ |
$[0, 0, 0, -5004, -136944]$ |
\(y^2=x^3-5004x-136944\) |
862.2.0.? |
$[(82, 64), (370, 6976)]$ |
248256.i1 |
248256i1 |
248256.i |
248256i |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{18} \cdot 3^{6} \cdot 431 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$2.869990371$ |
$1$ |
|
$6$ |
$286720$ |
$0.934699$ |
$-72511713/431$ |
$[0, 0, 0, -5004, 136944]$ |
\(y^2=x^3-5004x+136944\) |
862.2.0.? |
$[(46, 64), (40, 28)]$ |
248256.j1 |
248256j2 |
248256.j |
248256j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{22} \cdot 3^{6} \cdot 431^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10344$ |
$16$ |
$0$ |
$1.778863093$ |
$1$ |
|
$0$ |
$2488320$ |
$2.016994$ |
$-41314084993/1281007856$ |
$[0, 0, 0, -41484, 24026096]$ |
\(y^2=x^3-41484x+24026096\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 862.2.0.?, 2586.8.0.?, 10344.16.0.? |
$[(3502/3, 220672/3)]$ |
248256.j2 |
248256j1 |
248256.j |
248256j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{30} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10344$ |
$16$ |
$0$ |
$5.336589281$ |
$1$ |
|
$0$ |
$829440$ |
$1.467690$ |
$56181887/1765376$ |
$[0, 0, 0, 4596, -875536]$ |
\(y^2=x^3+4596x-875536\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 862.2.0.?, 2586.8.0.?, 10344.16.0.? |
$[(7390/9, 401408/9)]$ |
248256.k1 |
248256k1 |
248256.k |
248256k |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{14} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$1.381389180$ |
$1$ |
|
$2$ |
$168960$ |
$0.697122$ |
$-61918288/431$ |
$[0, 0, 0, -1884, 31664]$ |
\(y^2=x^3-1884x+31664\) |
862.2.0.? |
$[(26, 16)]$ |
248256.l1 |
248256l1 |
248256.l |
248256l |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{6} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$737280$ |
$1.236099$ |
$-912673/110336$ |
$[0, 0, 0, -1164, -221456]$ |
\(y^2=x^3-1164x-221456\) |
862.2.0.? |
$[]$ |
248256.m1 |
248256m3 |
248256.m |
248256m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{9} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$10344$ |
$48$ |
$0$ |
$12.45560335$ |
$1$ |
|
$1$ |
$8159232$ |
$2.614086$ |
$26438903289204662017/11637$ |
$[0, 0, 0, -35748876, 82270038544]$ |
\(y^2=x^3-35748876x+82270038544\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 2586.6.0.?, $\ldots$ |
$[(4621829/35, 1421767017/35)]$ |
248256.m2 |
248256m4 |
248256.m |
248256m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{9} \cdot 431^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$10344$ |
$48$ |
$0$ |
$3.113900839$ |
$1$ |
|
$3$ |
$8159232$ |
$2.614086$ |
$7152577607925217/931693026267$ |
$[0, 0, 0, -2312076, 1191179536]$ |
\(y^2=x^3-2312076x+1191179536\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(434, 16416)]$ |
248256.m3 |
248256m2 |
248256.m |
248256m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{12} \cdot 431^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$10344$ |
$48$ |
$0$ |
$6.227801679$ |
$1$ |
|
$5$ |
$4079616$ |
$2.267513$ |
$6454907876131057/135419769$ |
$[0, 0, 0, -2234316, 1285455760]$ |
\(y^2=x^3-2234316x+1285455760\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 1724.12.0.?, $\ldots$ |
$[(1949, 65835)]$ |
248256.m4 |
248256m1 |
248256.m |
248256m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{18} \cdot 3^{18} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$10344$ |
$48$ |
$0$ |
$3.113900839$ |
$1$ |
|
$5$ |
$2039808$ |
$1.920938$ |
$-1417383186337/229051071$ |
$[0, 0, 0, -134796, 21544720]$ |
\(y^2=x^3-134796x+21544720\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 862.6.0.?, $\ldots$ |
$[(-238, 6336)]$ |
248256.n1 |
248256n1 |
248256.n |
248256n |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2586$ |
$2$ |
$0$ |
$0.843837662$ |
$1$ |
|
$2$ |
$95232$ |
$0.378953$ |
$35287552/11637$ |
$[0, 0, 0, -246, 974]$ |
\(y^2=x^3-246x+974\) |
2586.2.0.? |
$[(1, 27)]$ |
248256.o1 |
248256o1 |
248256.o |
248256o |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{7} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$3.381242089$ |
$1$ |
|
$2$ |
$3244032$ |
$2.123749$ |
$-6733388587405537/331008$ |
$[0, 0, 0, -2265996, -1312915696]$ |
\(y^2=x^3-2265996x-1312915696\) |
5172.2.0.? |
$[(1954, 41472)]$ |
248256.p1 |
248256p1 |
248256.p |
248256p |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{6} \cdot 3^{11} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143360$ |
$0.542613$ |
$36594368/104733$ |
$[0, 0, 0, 249, -3004]$ |
\(y^2=x^3+249x-3004\) |
5172.2.0.? |
$[]$ |
248256.q1 |
248256q1 |
248256.q |
248256q |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2586$ |
$2$ |
$0$ |
$1.156019049$ |
$1$ |
|
$2$ |
$110592$ |
$0.369468$ |
$884736/431$ |
$[0, 0, 0, -216, -486]$ |
\(y^2=x^3-216x-486\) |
2586.2.0.? |
$[(-9, 27)]$ |
248256.r1 |
248256r2 |
248256.r |
248256r |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{19} \cdot 3^{9} \cdot 431^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10344$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.787291$ |
$2402335209457/10031094$ |
$[0, 0, 0, -160716, -24709520]$ |
\(y^2=x^3-160716x-24709520\) |
2.3.0.a.1, 24.6.0.a.1, 1724.6.0.?, 10344.12.0.? |
$[]$ |
248256.r2 |
248256r1 |
248256.r |
248256r |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{20} \cdot 3^{12} \cdot 431 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10344$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.440718$ |
$-81182737/1256796$ |
$[0, 0, 0, -5196, -759440]$ |
\(y^2=x^3-5196x-759440\) |
2.3.0.a.1, 24.6.0.d.1, 862.6.0.?, 10344.12.0.? |
$[]$ |
248256.s1 |
248256s1 |
248256.s |
248256s |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{3} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$1.019781149$ |
$1$ |
|
$4$ |
$245760$ |
$0.966452$ |
$55306341/110336$ |
$[0, 0, 0, 1524, -35824]$ |
\(y^2=x^3+1524x-35824\) |
5172.2.0.? |
$[(130, 1536)]$ |
248256.t1 |
248256t3 |
248256.t |
248256t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{23} \cdot 3^{22} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10344$ |
$48$ |
$0$ |
$9.296882659$ |
$1$ |
|
$1$ |
$16220160$ |
$2.991108$ |
$44260923429070723297/593700376032$ |
$[0, 0, 0, -42447756, 106444979984]$ |
\(y^2=x^3-42447756x+106444979984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ |
$[(659794/5, 520947072/5)]$ |
248256.t2 |
248256t4 |
248256.t |
248256t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{23} \cdot 3^{10} \cdot 431^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$10344$ |
$48$ |
$0$ |
$37.18753063$ |
$1$ |
|
$1$ |
$16220160$ |
$2.991108$ |
$612637130696707297/89442530521632$ |
$[0, 0, 0, -10191756, -10829062384]$ |
\(y^2=x^3-10191756x-10829062384\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[(33643312453362709/2211935, 5348236442025790703520927/2211935)]$ |
248256.t3 |
248256t2 |
248256.t |
248256t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{28} \cdot 3^{14} \cdot 431^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$10344$ |
$48$ |
$0$ |
$18.59376531$ |
$1$ |
|
$3$ |
$8110080$ |
$2.644531$ |
$11733138754458337/1248028591104$ |
$[0, 0, 0, -2726796, 1565757200]$ |
\(y^2=x^3-2726796x+1565757200\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 1724.12.0.?, $\ldots$ |
$[(3035269141/1441, 79344654906015/1441)]$ |
248256.t4 |
248256t1 |
248256.t |
248256t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{38} \cdot 3^{10} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10344$ |
$48$ |
$0$ |
$9.296882659$ |
$1$ |
|
$1$ |
$4055040$ |
$2.297958$ |
$6359387729183/36606836736$ |
$[0, 0, 0, 222324, 120688400]$ |
\(y^2=x^3+222324x+120688400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 862.6.0.?, $\ldots$ |
$[(9133/11, 15630003/11)]$ |
248256.u1 |
248256u4 |
248256.u |
248256u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{23} \cdot 3^{22} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10344$ |
$48$ |
$0$ |
$54.38343680$ |
$1$ |
|
$1$ |
$16220160$ |
$2.991108$ |
$44260923429070723297/593700376032$ |
$[0, 0, 0, -42447756, -106444979984]$ |
\(y^2=x^3-42447756x-106444979984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ |
$[(-3213556711054990413605487/29243734036, 25811218671971570245379735366618695/29243734036)]$ |
248256.u2 |
248256u3 |
248256.u |
248256u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{23} \cdot 3^{10} \cdot 431^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$10344$ |
$48$ |
$0$ |
$13.59585920$ |
$1$ |
|
$1$ |
$16220160$ |
$2.991108$ |
$612637130696707297/89442530521632$ |
$[0, 0, 0, -10191756, 10829062384]$ |
\(y^2=x^3-10191756x+10829062384\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[(-45502911/122, 210307884799/122)]$ |
248256.u3 |
248256u2 |
248256.u |
248256u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{28} \cdot 3^{14} \cdot 431^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$10344$ |
$48$ |
$0$ |
$27.19171840$ |
$1$ |
|
$3$ |
$8110080$ |
$2.644531$ |
$11733138754458337/1248028591104$ |
$[0, 0, 0, -2726796, -1565757200]$ |
\(y^2=x^3-2726796x-1565757200\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 1724.12.0.?, $\ldots$ |
$[(25801192365764/98185, 96097200060620891088/98185)]$ |
248256.u4 |
248256u1 |
248256.u |
248256u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{38} \cdot 3^{10} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10344$ |
$48$ |
$0$ |
$13.59585920$ |
$1$ |
|
$1$ |
$4055040$ |
$2.297958$ |
$6359387729183/36606836736$ |
$[0, 0, 0, 222324, -120688400]$ |
\(y^2=x^3+222324x-120688400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 862.6.0.?, $\ldots$ |
$[(12719300/73, 46041028560/73)]$ |
248256.v1 |
248256v1 |
248256.v |
248256v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{3} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$3.383752310$ |
$1$ |
|
$2$ |
$245760$ |
$0.966452$ |
$55306341/110336$ |
$[0, 0, 0, 1524, 35824]$ |
\(y^2=x^3+1524x+35824\) |
5172.2.0.? |
$[(-19, 3)]$ |
248256.w1 |
248256w2 |
248256.w |
248256w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{19} \cdot 3^{9} \cdot 431^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10344$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.787291$ |
$2402335209457/10031094$ |
$[0, 0, 0, -160716, 24709520]$ |
\(y^2=x^3-160716x+24709520\) |
2.3.0.a.1, 24.6.0.a.1, 1724.6.0.?, 10344.12.0.? |
$[]$ |
248256.w2 |
248256w1 |
248256.w |
248256w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{20} \cdot 3^{12} \cdot 431 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10344$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.440718$ |
$-81182737/1256796$ |
$[0, 0, 0, -5196, 759440]$ |
\(y^2=x^3-5196x+759440\) |
2.3.0.a.1, 24.6.0.d.1, 862.6.0.?, 10344.12.0.? |
$[]$ |
248256.x1 |
248256x1 |
248256.x |
248256x |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2586$ |
$2$ |
$0$ |
$2.389874365$ |
$1$ |
|
$0$ |
$110592$ |
$0.369468$ |
$884736/431$ |
$[0, 0, 0, -216, 486]$ |
\(y^2=x^3-216x+486\) |
2586.2.0.? |
$[(9/2, 27/2)]$ |
248256.y1 |
248256y1 |
248256.y |
248256y |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{6} \cdot 3^{11} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$2.052549466$ |
$1$ |
|
$0$ |
$143360$ |
$0.542613$ |
$36594368/104733$ |
$[0, 0, 0, 249, 3004]$ |
\(y^2=x^3+249x+3004\) |
5172.2.0.? |
$[(-7/2, 405/2)]$ |
248256.z1 |
248256z1 |
248256.z |
248256z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{26} \cdot 3^{7} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5172$ |
$2$ |
$0$ |
$1.961823581$ |
$1$ |
|
$2$ |
$3244032$ |
$2.123749$ |
$-6733388587405537/331008$ |
$[0, 0, 0, -2265996, 1312915696]$ |
\(y^2=x^3-2265996x+1312915696\) |
5172.2.0.? |
$[(869, 9)]$ |
248256.ba1 |
248256ba1 |
248256.ba |
248256ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{6} \cdot 3^{9} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2586$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95232$ |
$0.378953$ |
$35287552/11637$ |
$[0, 0, 0, -246, -974]$ |
\(y^2=x^3-246x-974\) |
2586.2.0.? |
$[]$ |
248256.bb1 |
248256bb4 |
248256.bb |
248256bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{9} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$10344$ |
$48$ |
$0$ |
$78.21677366$ |
$1$ |
|
$1$ |
$8159232$ |
$2.614086$ |
$26438903289204662017/11637$ |
$[0, 0, 0, -35748876, -82270038544]$ |
\(y^2=x^3-35748876x-82270038544\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 2586.6.0.?, $\ldots$ |
$[(39251817034105459437747507164530036/2194828726628395, 4326137847068247284260662728977319926441827317909784/2194828726628395)]$ |
248256.bb2 |
248256bb3 |
248256.bb |
248256bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{9} \cdot 431^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$10344$ |
$48$ |
$0$ |
$19.55419341$ |
$1$ |
|
$1$ |
$8159232$ |
$2.614086$ |
$7152577607925217/931693026267$ |
$[0, 0, 0, -2312076, -1191179536]$ |
\(y^2=x^3-2312076x-1191179536\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(-25233073891/5017, 1378481269567259/5017)]$ |
248256.bb3 |
248256bb2 |
248256.bb |
248256bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( 2^{18} \cdot 3^{12} \cdot 431^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$10344$ |
$48$ |
$0$ |
$39.10838683$ |
$1$ |
|
$3$ |
$4079616$ |
$2.267513$ |
$6454907876131057/135419769$ |
$[0, 0, 0, -2234316, -1285455760]$ |
\(y^2=x^3-2234316x-1285455760\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 1724.12.0.?, $\ldots$ |
$[(514137913385557204/8672035, 358974103366974026775451608/8672035)]$ |
248256.bb4 |
248256bb1 |
248256.bb |
248256bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{18} \cdot 3^{18} \cdot 431 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$10344$ |
$48$ |
$0$ |
$19.55419341$ |
$1$ |
|
$1$ |
$2039808$ |
$1.920938$ |
$-1417383186337/229051071$ |
$[0, 0, 0, -134796, -21544720]$ |
\(y^2=x^3-134796x-21544720\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 862.6.0.?, $\ldots$ |
$[(7224546670/1033, 613142282252160/1033)]$ |
248256.bc1 |
248256bc1 |
248256.bc |
248256bc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{12} \cdot 3^{6} \cdot 431 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$0.443884$ |
$-438976/431$ |
$[0, 0, 0, -228, -2176]$ |
\(y^2=x^3-228x-2176\) |
862.2.0.? |
$[]$ |
248256.bd1 |
248256bd1 |
248256.bd |
248256bd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{12} \cdot 3^{6} \cdot 431 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$2.722000343$ |
$1$ |
|
$6$ |
$501760$ |
$1.256889$ |
$-14952388971456/431$ |
$[0, 0, 0, -73908, 7733664]$ |
\(y^2=x^3-73908x+7733664\) |
862.2.0.? |
$[(157, 1), (154, 64)]$ |
248256.be1 |
248256be1 |
248256.be |
248256be |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{20} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$1.406046561$ |
$1$ |
|
$2$ |
$184320$ |
$0.892366$ |
$357911/1724$ |
$[0, 0, 0, 852, 25904]$ |
\(y^2=x^3+852x+25904\) |
862.2.0.? |
$[(-10, 128)]$ |
248256.bf1 |
248256bf1 |
248256.bf |
248256bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 431 \) |
\( - 2^{24} \cdot 3^{6} \cdot 431 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$862$ |
$2$ |
$0$ |
$8.378183352$ |
$1$ |
|
$0$ |
$516096$ |
$1.376127$ |
$-38238692409/27584$ |
$[0, 0, 0, -40428, -3130704]$ |
\(y^2=x^3-40428x-3130704\) |
862.2.0.? |
$[(84406/11, 23363072/11)]$ |