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 |
28314.a1 |
28314m2 |
28314.a |
28314m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{8} \cdot 11^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4257792$ |
$2.968922$ |
$2278031600817539/131609088$ |
$1.08386$ |
$6.19785$ |
$[1, -1, 0, -32837184, -72414588416]$ |
\(y^2+xy=x^3-x^2-32837184x-72414588416\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
28314.a2 |
28314m1 |
28314.a |
28314m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{7} \cdot 11^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2128896$ |
$2.622345$ |
$658275956099/132907008$ |
$1.06215$ |
$5.40289$ |
$[1, -1, 0, -2170944, -992915456]$ |
\(y^2+xy=x^3-x^2-2170944x-992915456\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
28314.b1 |
28314w1 |
28314.b |
28314w |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{12} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$2.332432206$ |
$1$ |
|
$0$ |
$2995200$ |
$3.165043$ |
$-124352595912593543977/103332962304$ |
$1.02112$ |
$6.56014$ |
$[1, -1, 0, -113241321, 463855087053]$ |
\(y^2+xy=x^3-x^2-113241321x+463855087053\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(24663/2, -705/2)]$ |
28314.b2 |
28314w2 |
28314.b |
28314w |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{39} \cdot 3^{8} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$6.997296618$ |
$1$ |
|
$0$ |
$8985600$ |
$3.714348$ |
$-58169016237585194137/119573538788081664$ |
$1.03495$ |
$6.63387$ |
$[1, -1, 0, -87905736, 676853506368]$ |
\(y^2+xy=x^3-x^2-87905736x+676853506368\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(-27609/2, 7844451/2)]$ |
28314.c1 |
28314x1 |
28314.c |
28314x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{5} \cdot 3^{6} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$1.885492332$ |
$1$ |
|
$4$ |
$172800$ |
$1.558756$ |
$-30664297/773344$ |
$0.91386$ |
$4.09857$ |
$[1, -1, 0, -7101, 1539621]$ |
\(y^2+xy=x^3-x^2-7101x+1539621\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(-129, 609)]$ |
28314.c2 |
28314x2 |
28314.c |
28314x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$5.656476997$ |
$1$ |
|
$0$ |
$518400$ |
$2.108063$ |
$22117051943/566984704$ |
$1.12064$ |
$4.73771$ |
$[1, -1, 0, 63684, -40719024]$ |
\(y^2+xy=x^3-x^2+63684x-40719024\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(5229/4, 236745/4)]$ |
28314.d1 |
28314u4 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{11} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.266280198$ |
$1$ |
|
$6$ |
$1638400$ |
$2.716331$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.08832$ |
$[1, -1, 0, -22585338, 41318763844]$ |
\(y^2+xy=x^3-x^2-22585338x+41318763844\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(2720, 818)]$ |
28314.d2 |
28314u3 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{26} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$5.065120795$ |
$1$ |
|
$2$ |
$1638400$ |
$2.716331$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.44973$ |
$[1, -1, 0, -2547738, -530234204]$ |
\(y^2+xy=x^3-x^2-2547738x-530234204\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-723, 30914)]$ |
28314.d3 |
28314u2 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{16} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$2.532560397$ |
$1$ |
|
$8$ |
$819200$ |
$2.369759$ |
$242702053576633/2554695936$ |
$1.10395$ |
$5.27766$ |
$[1, -1, 0, -1415178, 642418420]$ |
\(y^2+xy=x^3-x^2-1415178x+642418420\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 52.12.0.b.1, 132.24.0.?, $\ldots$ |
$[(815, 5060)]$ |
28314.d4 |
28314u1 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{11} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.266280198$ |
$1$ |
|
$7$ |
$409600$ |
$2.023186$ |
$-822656953/207028224$ |
$1.08584$ |
$4.64188$ |
$[1, -1, 0, -21258, 24911860]$ |
\(y^2+xy=x^3-x^2-21258x+24911860\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$ |
$[(47, 4877)]$ |
28314.e1 |
28314t1 |
28314.e |
28314t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{11} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.611998479$ |
$1$ |
|
$4$ |
$51840$ |
$1.184395$ |
$1472207/1067742$ |
$1.03785$ |
$3.65992$ |
$[1, -1, 0, 522, -162486]$ |
\(y^2+xy=x^3-x^2+522x-162486\) |
312.2.0.? |
$[(69, 411)]$ |
28314.f1 |
28314s1 |
28314.f |
28314s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$3.413332098$ |
$1$ |
|
$2$ |
$190080$ |
$1.839615$ |
$2224882033/53248$ |
$0.90167$ |
$4.61392$ |
$[1, -1, 0, -146493, 21166789]$ |
\(y^2+xy=x^3-x^2-146493x+21166789\) |
26.2.0.a.1 |
$[(138, 1819)]$ |
28314.g1 |
28314b2 |
28314.g |
28314b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 11^{3} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$0.976973084$ |
$1$ |
|
$14$ |
$15360$ |
$0.505785$ |
$315821241/57122$ |
$0.97259$ |
$2.93239$ |
$[1, -1, 0, -468, 3350]$ |
\(y^2+xy=x^3-x^2-468x+3350\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[(7, 16), (-89/2, 479/2)]$ |
28314.g2 |
28314b1 |
28314.g |
28314b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$0.976973084$ |
$1$ |
|
$19$ |
$7680$ |
$0.159212$ |
$8120601/676$ |
$0.91456$ |
$2.57528$ |
$[1, -1, 0, -138, -544]$ |
\(y^2+xy=x^3-x^2-138x-544\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[(-7, 10), (19, 49)]$ |
28314.h1 |
28314ba4 |
28314.h |
28314ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{10} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$29.20560603$ |
$1$ |
|
$6$ |
$737280$ |
$2.410381$ |
$13778603383488553/13703976$ |
$1.03871$ |
$5.67167$ |
$[1, -1, 0, -5439033, -4881005915]$ |
\(y^2+xy=x^3-x^2-5439033x-4881005915\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(-1347, 716), (-33661/5, 92077/5)]$ |
28314.h2 |
28314ba3 |
28314.h |
28314ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 3^{14} \cdot 11^{7} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.825350377$ |
$1$ |
|
$14$ |
$737280$ |
$2.410381$ |
$47504791830313/16490207448$ |
$0.96779$ |
$5.11856$ |
$[1, -1, 0, -821673, 181554709]$ |
\(y^2+xy=x^3-x^2-821673x+181554709\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(1433, 43388), (-25, 14228)]$ |
28314.h3 |
28314ba2 |
28314.h |
28314ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{10} \cdot 11^{8} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$7.301401508$ |
$1$ |
|
$20$ |
$368640$ |
$2.063805$ |
$3440899317673/106007616$ |
$1.00103$ |
$4.86248$ |
$[1, -1, 0, -342513, -74987555]$ |
\(y^2+xy=x^3-x^2-342513x-74987555\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 104.12.0.?, 264.24.0.?, $\ldots$ |
$[(-379, 716), (-301, 1028)]$ |
28314.h4 |
28314ba1 |
28314.h |
28314ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{8} \cdot 11^{7} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$7.301401508$ |
$1$ |
|
$13$ |
$184320$ |
$1.717234$ |
$18191447/5271552$ |
$0.96388$ |
$4.28340$ |
$[1, -1, 0, 5967, -3967331]$ |
\(y^2+xy=x^3-x^2+5967x-3967331\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(338, 5879), (914, 27191)]$ |
28314.i1 |
28314h2 |
28314.i |
28314h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.592526197$ |
$1$ |
|
$6$ |
$184320$ |
$1.806583$ |
$3249025693731/158357056$ |
$0.94940$ |
$4.53537$ |
$[1, -1, 0, -112008, -13779584]$ |
\(y^2+xy=x^3-x^2-112008x-13779584\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(-195, 884)]$ |
28314.i2 |
28314h1 |
28314.i |
28314h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.185052394$ |
$1$ |
|
$5$ |
$92160$ |
$1.460009$ |
$165469149/6443008$ |
$0.95479$ |
$3.98020$ |
$[1, -1, 0, 4152, -839360]$ |
\(y^2+xy=x^3-x^2+4152x-839360\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(201, 2743)]$ |
28314.j1 |
28314bb1 |
28314.j |
28314bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 3^{15} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.841250$ |
$-128667913/2047032$ |
$0.94962$ |
$3.25914$ |
$[1, -1, 0, -468, -20696]$ |
\(y^2+xy=x^3-x^2-468x-20696\) |
312.2.0.? |
$[]$ |
28314.k1 |
28314o2 |
28314.k |
28314o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{30} \cdot 3^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$5.577939594$ |
$1$ |
|
$0$ |
$129600$ |
$1.622091$ |
$100638995169625/13958643712$ |
$0.98640$ |
$4.25613$ |
$[1, -1, 0, -43137, -2996163]$ |
\(y^2+xy=x^3-x^2-43137x-2996163\) |
3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.2, 78.8.0.?, 858.16.0.? |
$[(-44174/17, 834231/17)]$ |
28314.k2 |
28314o1 |
28314.k |
28314o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$1.859313198$ |
$1$ |
|
$2$ |
$43200$ |
$1.072786$ |
$1651590939625/2249728$ |
$0.95696$ |
$3.85521$ |
$[1, -1, 0, -10962, 443988]$ |
\(y^2+xy=x^3-x^2-10962x+443988\) |
3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.1, 78.8.0.?, 858.16.0.? |
$[(52, 86)]$ |
28314.l1 |
28314e1 |
28314.l |
28314e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{3} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$3.234532193$ |
$1$ |
|
$2$ |
$23232$ |
$0.833272$ |
$37125/26$ |
$0.73445$ |
$3.21926$ |
$[1, -1, 0, 1248, -8090]$ |
\(y^2+xy=x^3-x^2+1248x-8090\) |
312.2.0.? |
$[(17, 125)]$ |
28314.m1 |
28314j2 |
28314.m |
28314j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{10} \cdot 11^{3} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.787556$ |
$11897870153788410875/1429316843490432$ |
$1.04475$ |
$5.62946$ |
$[1, -1, 0, -4708512, 3501830272]$ |
\(y^2+xy=x^3-x^2-4708512x+3501830272\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.? |
$[]$ |
28314.m2 |
28314j1 |
28314.m |
28314j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{14} \cdot 11^{3} \cdot 13^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$2.440983$ |
$8666286316805125/39912298463232$ |
$1.04487$ |
$5.11393$ |
$[1, -1, 0, 423648, 279860224]$ |
\(y^2+xy=x^3-x^2+423648x+279860224\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.? |
$[]$ |
28314.n1 |
28314i2 |
28314.n |
28314i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{10} \cdot 11^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$1.894789$ |
$61629875/27378$ |
$0.90712$ |
$4.49799$ |
$[1, -1, 0, -98577, 5767119]$ |
\(y^2+xy=x^3-x^2-98577x+5767119\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.? |
$[]$ |
28314.n2 |
28314i1 |
28314.n |
28314i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 3^{8} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.548216$ |
$614125/468$ |
$0.84557$ |
$4.04841$ |
$[1, -1, 0, 21213, 664065]$ |
\(y^2+xy=x^3-x^2+21213x+664065\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.? |
$[]$ |
28314.o1 |
28314c2 |
28314.o |
28314c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.217445$ |
$211176358875/55294096$ |
$0.93598$ |
$4.91174$ |
$[1, -1, 0, -405312, -73390960]$ |
\(y^2+xy=x^3-x^2-405312x-73390960\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
28314.o2 |
28314c1 |
28314.o |
28314c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.870871$ |
$9460870875/475904$ |
$0.89406$ |
$4.60880$ |
$[1, -1, 0, -143952, 20123648]$ |
\(y^2+xy=x^3-x^2-143952x+20123648\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
28314.p1 |
28314d1 |
28314.p |
28314d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{9} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6336$ |
$0.183631$ |
$37125/26$ |
$0.73445$ |
$2.45879$ |
$[1, -1, 0, 93, -181]$ |
\(y^2+xy=x^3-x^2+93x-181\) |
312.2.0.? |
$[]$ |
28314.q1 |
28314y2 |
28314.q |
28314y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$78$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$60480$ |
$1.154058$ |
$115636266625/8788$ |
$0.96550$ |
$4.06365$ |
$[1, -1, 0, -22347, 1291329]$ |
\(y^2+xy=x^3-x^2-22347x+1291329\) |
3.8.0-3.a.1.2, 26.2.0.a.1, 78.16.0.? |
$[]$ |
28314.q2 |
28314y1 |
28314.q |
28314y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$78$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$0.604753$ |
$1890625/832$ |
$0.97154$ |
$2.98852$ |
$[1, -1, 0, -567, -2403]$ |
\(y^2+xy=x^3-x^2-567x-2403\) |
3.8.0-3.a.1.1, 26.2.0.a.1, 78.16.0.? |
$[]$ |
28314.r1 |
28314p4 |
28314.r |
28314p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$5.721422911$ |
$1$ |
|
$0$ |
$3317760$ |
$3.184078$ |
$30618029936661765625/3678951124992$ |
$1.13012$ |
$6.42342$ |
$[1, -1, 0, -70976142, -230111392428]$ |
\(y^2+xy=x^3-x^2-70976142x-230111392428\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(-19449/2, 58527/2)]$ |
28314.r2 |
28314p3 |
28314.r |
28314p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{24} \cdot 3^{8} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$11.44284582$ |
$1$ |
|
$1$ |
$1658880$ |
$2.837505$ |
$-5764706497797625/2612665516032$ |
$0.98882$ |
$5.64309$ |
$[1, -1, 0, -4067982, -4216062636]$ |
\(y^2+xy=x^3-x^2-4067982x-4216062636\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(405369/8, 240750801/8)]$ |
28314.r3 |
28314p2 |
28314.r |
28314p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1.907140970$ |
$1$ |
|
$6$ |
$1105920$ |
$2.634773$ |
$645532578015625/252306960048$ |
$1.03336$ |
$5.37309$ |
$[1, -1, 0, -1960767, 602589213]$ |
\(y^2+xy=x^3-x^2-1960767x+602589213\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(1323, 17307)]$ |
28314.r4 |
28314p1 |
28314.r |
28314p |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$3.814281940$ |
$1$ |
|
$5$ |
$552960$ |
$2.288200$ |
$5137417856375/4510142208$ |
$0.96333$ |
$4.90158$ |
$[1, -1, 0, 391473, 67689837]$ |
\(y^2+xy=x^3-x^2+391473x+67689837\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(-81, 5994)]$ |
28314.s1 |
28314z1 |
28314.s |
28314z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 3^{6} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.404058$ |
$-4165509529/12584$ |
$0.87863$ |
$4.20777$ |
$[1, -1, 0, -36504, 2700616]$ |
\(y^2+xy=x^3-x^2-36504x+2700616\) |
104.2.0.? |
$[]$ |
28314.t1 |
28314n1 |
28314.t |
28314n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.265931223$ |
$1$ |
|
$2$ |
$10752$ |
$0.456197$ |
$2803221/1664$ |
$1.09157$ |
$2.79303$ |
$[1, -1, 0, 291, -379]$ |
\(y^2+xy=x^3-x^2+291x-379\) |
1144.2.0.? |
$[(25, 136)]$ |
28314.u1 |
28314r2 |
28314.u |
28314r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{8} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1.862594623$ |
$1$ |
|
$2$ |
$153600$ |
$1.617186$ |
$174958262857/33462$ |
$0.91387$ |
$4.57188$ |
$[1, -1, 0, -126891, -17363241]$ |
\(y^2+xy=x^3-x^2-126891x-17363241\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[(465, 4668)]$ |
28314.u2 |
28314r1 |
28314.u |
28314r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 3^{7} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$3.725189247$ |
$1$ |
|
$3$ |
$76800$ |
$1.270613$ |
$-30664297/18876$ |
$0.83618$ |
$3.79882$ |
$[1, -1, 0, -7101, -329103]$ |
\(y^2+xy=x^3-x^2-7101x-329103\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[(1884, 80733)]$ |
28314.v1 |
28314q1 |
28314.v |
28314q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{5} \cdot 3^{7} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.665452414$ |
$1$ |
|
$4$ |
$9600$ |
$0.407447$ |
$-370680937/1248$ |
$0.88108$ |
$3.03617$ |
$[1, -1, 0, -666, 6804]$ |
\(y^2+xy=x^3-x^2-666x+6804\) |
312.2.0.? |
$[(15, -3)]$ |
28314.w1 |
28314a2 |
28314.w |
28314a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 11^{9} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$10.57012433$ |
$1$ |
|
$0$ |
$506880$ |
$2.254040$ |
$315821241/57122$ |
$0.97259$ |
$4.97890$ |
$[1, -1, 0, -509856, 116310662]$ |
\(y^2+xy=x^3-x^2-509856x+116310662\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[(34987/6, 4905259/6)]$ |
28314.w2 |
28314a1 |
28314.w |
28314a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$5.285062166$ |
$1$ |
|
$1$ |
$253440$ |
$1.907465$ |
$8120601/676$ |
$0.91456$ |
$4.62179$ |
$[1, -1, 0, -150486, -20753056]$ |
\(y^2+xy=x^3-x^2-150486x-20753056\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[(-845/2, 10889/2)]$ |
28314.x1 |
28314g2 |
28314.x |
28314g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$47.05015479$ |
$1$ |
|
$0$ |
$25436160$ |
$4.096016$ |
$13802951728468271053322091/158357056$ |
$1.06730$ |
$8.01492$ |
$[1, -1, 0, -16326705291, -802959676523515]$ |
\(y^2+xy=x^3-x^2-16326705291x-802959676523515\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(126215320314957169109203/776043139, 32933570553319130767187403520647490/776043139)]$ |
28314.x2 |
28314g1 |
28314.x |
28314g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$94.10030958$ |
$1$ |
|
$1$ |
$12718080$ |
$3.749439$ |
$-3369853043629824680811/11414181695488$ |
$1.13079$ |
$7.20352$ |
$[1, -1, 0, -1020418251, -12546075035323]$ |
\(y^2+xy=x^3-x^2-1020418251x-12546075035323\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(2838629439886701735901945020877282322058214/3480831179521711429, 4730621154398184866526771923672649909655500193528903860376644577/3480831179521711429)]$ |
28314.y1 |
28314f2 |
28314.y |
28314f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.991509384$ |
$1$ |
|
$6$ |
$122880$ |
$1.505596$ |
$1033364331/676$ |
$1.11849$ |
$4.39279$ |
$[1, -1, 0, -68811, 6960905]$ |
\(y^2+xy=x^3-x^2-68811x+6960905\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(113, 730)]$ |
28314.y2 |
28314f1 |
28314.y |
28314f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.983018769$ |
$1$ |
|
$5$ |
$61440$ |
$1.159023$ |
$-132651/208$ |
$1.11492$ |
$3.64656$ |
$[1, -1, 0, -3471, 152477]$ |
\(y^2+xy=x^3-x^2-3471x+152477\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(34, 253)]$ |
28314.z1 |
28314l1 |
28314.z |
28314l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{17} \cdot 3^{14} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$313344$ |
$1.773251$ |
$-11832089797403/11179524096$ |
$0.99824$ |
$4.37564$ |
$[1, -1, 0, -46998, -6351372]$ |
\(y^2+xy=x^3-x^2-46998x-6351372\) |
1144.2.0.? |
$[]$ |
28314.ba1 |
28314k1 |
28314.ba |
28314k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{22} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.815460$ |
$-1407450852604763/1119214746$ |
$1.00746$ |
$4.74751$ |
$[1, -1, 0, -231138, 42858778]$ |
\(y^2+xy=x^3-x^2-231138x+42858778\) |
1144.2.0.? |
$[]$ |