| 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 |
| 5075.d1 |
5075d3 |
5075.d |
5075d |
$3$ |
$9$ |
\( 5^{2} \cdot 7 \cdot 29 \) |
\( - 5^{24} \cdot 7^{5} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18270$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$4043520$ |
$4.197021$ |
$-21829688069145876627900706422784/1859294891357421875$ |
$1.07423$ |
$9.58939$ |
$[0, -1, 1, -14556197783, -675953651051907]$ |
\(y^2+y=x^3-x^2-14556197783x-675953651051907\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 63.36.0.e.2, $\ldots$ |
$[]$ |
| 5514.a1 |
5514a3 |
5514.a |
5514a |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 919 \) |
\( - 2 \cdot 3 \cdot 919 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$66168$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$43740$ |
$1.690487$ |
$-358134155981875922335777/5514$ |
$1.00788$ |
$6.29540$ |
$[1, 0, 0, -1479474, -692765778]$ |
\(y^2+xy=x^3-1479474x-692765778\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 8271.72.0.?, 22056.16.0.?, 66168.144.3.? |
$[]$ |
| 6335.c1 |
6335c3 |
6335.c |
6335c |
$3$ |
$9$ |
\( 5 \cdot 7 \cdot 181 \) |
\( - 5 \cdot 7 \cdot 181^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$114030$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$624024$ |
$3.319168$ |
$-669704693478538248257181174562816/1146635$ |
$1.05057$ |
$8.63442$ |
$[0, 1, 1, -1822719655, -29952752526081]$ |
\(y^2+y=x^3+x^2-1822719655x-29952752526081\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 70.2.0.a.1, 210.16.0.?, 630.48.1.?, $\ldots$ |
$[]$ |
| 12138.t1 |
12138q3 |
12138.t |
12138q |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 17^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2799360$ |
$3.260715$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$7.14265$ |
$[1, 1, 1, -110311884, -446006527017]$ |
\(y^2+xy+y=x^3+x^2-110311884x-446006527017\) |
3.4.0.a.1, 9.36.0.d.2, 51.8.0-3.a.1.1, 153.72.0.?, 168.8.0.?, $\ldots$ |
$[]$ |
| 15606.bl1 |
15606bn2 |
15606.bl |
15606bn |
$2$ |
$3$ |
\( 2 \cdot 3^{3} \cdot 17^{2} \) |
\( - 2 \cdot 3^{11} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$247860$ |
$2.116512$ |
$-212837331/2$ |
$0.96438$ |
$5.58511$ |
$[1, -1, 1, -1334801, -593242217]$ |
\(y^2+xy+y=x^3-x^2-1334801x-593242217\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[]$ |
| 15675.ba1 |
15675f1 |
15675.ba |
15675f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 3^{11} \cdot 5^{10} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1254$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$537240$ |
$2.420555$ |
$-8263103822294732800/37023723$ |
$1.00722$ |
$6.17534$ |
$[0, -1, 1, -9002708, -10393995307]$ |
\(y^2+y=x^3-x^2-9002708x-10393995307\) |
1254.2.0.? |
$[]$ |
| 19215.x1 |
19215t1 |
19215.x |
19215t |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 61 \) |
\( - 3^{6} \cdot 5 \cdot 7^{17} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2207280$ |
$2.906200$ |
$-156653440431604480405504/4328090712731986235$ |
$1.00325$ |
$6.08779$ |
$[0, 0, 1, -10107597, -12660392115]$ |
\(y^2+y=x^3-10107597x-12660392115\) |
70.2.0.a.1 |
$[]$ |
| 19266.m1 |
19266h3 |
19266.m |
19266h |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3 \cdot 13^{9} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8892$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$11757312$ |
$3.818760$ |
$-184768138755655701309378433/8507338464245556$ |
$1.04816$ |
$7.69006$ |
$[1, 0, 1, -2005339132, -34564634865538]$ |
\(y^2+xy+y=x^3-2005339132x-34564634865538\) |
3.4.0.a.1, 9.36.0.d.2, 39.8.0-3.a.1.2, 117.72.0.?, 228.8.0.?, $\ldots$ |
$[]$ |
| 20787.e1 |
20787d1 |
20787.e |
20787d |
$1$ |
$1$ |
\( 3 \cdot 13^{2} \cdot 41 \) |
\( - 3 \cdot 13^{10} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$13410432$ |
$3.538513$ |
$-95051071934010512925700096/5905358043$ |
$1.04885$ |
$7.56443$ |
$[0, -1, 1, -1606809806, -24790508840251]$ |
\(y^2+y=x^3-x^2-1606809806x-24790508840251\) |
246.2.0.? |
$[]$ |
| 21758.i1 |
21758k3 |
21758.i |
21758k |
$3$ |
$9$ |
\( 2 \cdot 11 \cdot 23 \cdot 43 \) |
\( 2^{5} \cdot 11 \cdot 23^{9} \cdot 43^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$783288$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$466015680$ |
$5.701370$ |
$812547474818604818643317890971947708801282017/2167539447097152783776$ |
$1.06322$ |
$10.35357$ |
$[1, 0, 0, -19440540900814, -32992152521343165084]$ |
\(y^2+xy=x^3-19440540900814x-32992152521343165084\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 387.72.0.?, 2024.2.0.?, 6072.16.0.?, $\ldots$ |
$[]$ |
| 21810.j1 |
21810j3 |
21810.j |
21810j |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 5 \cdot 727 \) |
\( - 2 \cdot 3 \cdot 5^{9} \cdot 727 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$261720$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$184680$ |
$1.814697$ |
$-140058796013128582205329/8519531250$ |
$1.01598$ |
$5.33490$ |
$[1, 0, 0, -1081921, -433243285]$ |
\(y^2+xy=x^3-1081921x-433243285\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 6543.72.0.?, 87240.16.0.?, 261720.144.3.? |
$[]$ |
| 22077.g1 |
22077e1 |
22077.g |
22077e |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 223 \) |
\( 3^{48} \cdot 11 \cdot 223 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4906$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$13440000$ |
$4.196968$ |
$23572305998501103184129172733952/268404780339599817139677$ |
$1.05960$ |
$7.88112$ |
$[0, 0, 1, -5376115974, -151721379981842]$ |
\(y^2+y=x^3-5376115974x-151721379981842\) |
4906.2.0.? |
$[]$ |
| 27910.d1 |
27910c3 |
27910.d |
27910c |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 2791 \) |
\( 2 \cdot 5 \cdot 2791 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$1004760$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$427680$ |
$2.180386$ |
$235083798429967711936308961/27910$ |
$0.98038$ |
$5.93177$ |
$[1, 0, 0, -12857790, -17746954210]$ |
\(y^2+xy=x^3-12857790x-17746954210\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 25119.72.0.?, 111640.2.0.?, 334920.16.0.?, $\ldots$ |
$[]$ |
| 31046.g1 |
31046e1 |
31046.g |
31046e |
$1$ |
$1$ |
\( 2 \cdot 19^{2} \cdot 43 \) |
\( - 2^{13} \cdot 19^{17} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$82368000$ |
$4.238472$ |
$3014039068081427225638287/1764478883453394378752$ |
$1.08670$ |
$7.15753$ |
$[1, -1, 0, 1086381239, 1484500203149]$ |
\(y^2+xy=x^3-x^2+1086381239x+1484500203149\) |
152.2.0.? |
$[]$ |
| 32934.h1 |
32934h3 |
32934.h |
32934h |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 11 \cdot 499 \) |
\( - 2 \cdot 3 \cdot 11^{9} \cdot 499 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$395208$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$307152$ |
$1.845552$ |
$-30450458447073077438017/7059695386854$ |
$0.96687$ |
$4.97684$ |
$[1, 0, 0, -650564, -202022538]$ |
\(y^2+xy=x^3-650564x-202022538\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 4491.72.0.?, 131736.16.0.?, 395208.144.3.? |
$[]$ |
| 35090.f1 |
35090c1 |
35090.f |
35090c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 5^{23} \cdot 11^{10} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$94723200$ |
$4.798286$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$7.94315$ |
$[1, 0, 1, -22376989924, -1303266065395934]$ |
\(y^2+xy+y=x^3-22376989924x-1303266065395934\) |
20.2.0.a.1 |
$[]$ |
| 36784.bk1 |
36784bj3 |
36784.bk |
36784bj |
$3$ |
$9$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{12} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$22572$ |
$1296$ |
$43$ |
$1$ |
$81$ |
$3$ |
$0$ |
$291600$ |
$1.925533$ |
$-50357871050752/19$ |
$1.10495$ |
$5.16087$ |
$[0, -1, 0, -1489429, -699148899]$ |
\(y^2=x^3-x^2-1489429x-699148899\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$ |
$[]$ |
| 40075.p1 |
40075h1 |
40075.p |
40075h |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 229 \) |
\( - 5^{11} \cdot 7 \cdot 229^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2905920$ |
$2.504890$ |
$-41274287110762297307136/1147146875$ |
$0.99310$ |
$5.82451$ |
$[0, 0, 1, -17999425, -29392468469]$ |
\(y^2+y=x^3-17999425x-29392468469\) |
70.2.0.a.1 |
$[]$ |
| 43434.d1 |
43434g2 |
43434.d |
43434g |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \) |
\( 2^{11} \cdot 3^{11} \cdot 19^{3} \cdot 127 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$57912$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$2$ |
$219542400$ |
$5.179710$ |
$6182190434668776228197462317730516196625/433511626752$ |
$1.06622$ |
$9.19695$ |
$[1, -1, 0, -3441243454497, 2457091690206296445]$ |
\(y^2+xy=x^3-x^2-3441243454497x+2457091690206296445\) |
3.8.0-3.a.1.2, 57912.16.0.? |
$[]$ |
| 46731.d1 |
46731d1 |
46731.d |
46731d |
$1$ |
$1$ |
\( 3 \cdot 37 \cdot 421 \) |
\( - 3 \cdot 37^{13} \cdot 421 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$93462$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$10029240$ |
$3.295910$ |
$-13954990589147401481986748416/307627930184910688716411$ |
$1.00111$ |
$6.03070$ |
$[0, 1, 1, -50157430, -139322476892]$ |
\(y^2+y=x^3+x^2-50157430x-139322476892\) |
93462.2.0.? |
$[]$ |
| 49680.bc1 |
49680bu1 |
49680.bc |
49680bu |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1468800$ |
$2.483692$ |
$-525284597774079877303152/71875$ |
$1.05782$ |
$5.86860$ |
$[0, 0, 0, -32020263, -69740564062]$ |
\(y^2=x^3-32020263x-69740564062\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 690.8.0.?, 1380.16.0.? |
$[]$ |
| 51870.bo1 |
51870br6 |
51870.bo |
51870br |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{27} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$622440$ |
$864$ |
$21$ |
$1$ |
$81$ |
$3$ |
$0$ |
$53747712$ |
$4.201744$ |
$7512320558222339533015168533236198761/1583826232934400$ |
$1.04037$ |
$7.82109$ |
$[1, 0, 1, -40802189303, -3172296548756902]$ |
\(y^2+xy+y=x^3-40802189303x-3172296548756902\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$ |
$[]$ |
| 51870.bo2 |
51870br5 |
51870.bo |
51870br |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{54} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$622440$ |
$864$ |
$21$ |
$1$ |
$81$ |
$3$ |
$1$ |
$26873856$ |
$3.855167$ |
$-1834062617110722362185460981345641/26630595244574669537280$ |
$1.02556$ |
$7.05493$ |
$[1, 0, 1, -2550136823, -49567293320614]$ |
\(y^2+xy+y=x^3-2550136823x-49567293320614\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$ |
$[]$ |
| 53466.s1 |
53466t3 |
53466.s |
53466t |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 67 \) |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$641592$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2706048$ |
$2.713848$ |
$256435716456715237127576178625/160398$ |
$1.00593$ |
$6.22007$ |
$[1, 0, 0, -132358428, -586116148734]$ |
\(y^2+xy=x^3-132358428x-586116148734\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 71288.2.0.?, 80199.72.0.?, 213864.16.0.?, $\ldots$ |
$[]$ |
| 55616.bd1 |
55616u1 |
55616.bd |
55616u |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \cdot 79 \) |
\( 2^{50} \cdot 11^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$74317824$ |
$4.210686$ |
$1031530003248877226947940527881/601094928071655424$ |
$1.06570$ |
$7.46692$ |
$[0, 0, 0, -13472019148, -601862313944176]$ |
\(y^2=x^3-13472019148x-601862313944176\) |
316.2.0.? |
$[]$ |
| 55762.i1 |
55762e2 |
55762.i |
55762e |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 569 \) |
\( 2^{3} \cdot 7^{8} \cdot 569^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$13602816$ |
$3.259975$ |
$291516701655344638950446761/126914312$ |
$1.05714$ |
$6.64412$ |
$[1, 1, 0, -676876323, -6778446434395]$ |
\(y^2+xy=x^3+x^2-676876323x-6778446434395\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 55762.i2 |
55762e1 |
55762.i |
55762e |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 569 \) |
\( - 2^{6} \cdot 7^{7} \cdot 569^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$81$ |
$3$ |
$1$ |
$6801408$ |
$2.913403$ |
$-71171035928958970204201/46959890934208$ |
$1.03761$ |
$5.88304$ |
$[1, 1, 0, -42304763, -105926480995]$ |
\(y^2+xy=x^3+x^2-42304763x-105926480995\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 57015.d1 |
57015f3 |
57015.d |
57015f |
$3$ |
$9$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 181 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 181^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.1 |
3B.1.1 |
$114030$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$2$ |
$18720720$ |
$3.868477$ |
$-669704693478538248257181174562816/1146635$ |
$1.05057$ |
$7.50393$ |
$[0, 0, 1, -16404476898, 808707913727283]$ |
\(y^2+y=x^3-16404476898x+808707913727283\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 70.2.0.a.1, 210.16.0.?, 630.48.1.?, $\ldots$ |
$[]$ |
| 58646.f1 |
58646f2 |
58646.f |
58646f |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 59 \cdot 71 \) |
\( - 2 \cdot 7^{3} \cdot 59 \cdot 71^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$703752$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1994544$ |
$2.435745$ |
$-1039559786926197600695654737/14486089814$ |
$0.97325$ |
$5.66600$ |
$[1, 0, 0, -21104509, -37319125673]$ |
\(y^2+xy=x^3-21104509x-37319125673\) |
3.8.0-3.a.1.1, 234584.2.0.?, 703752.16.0.? |
$[]$ |
| 59346.t1 |
59346m3 |
59346.t |
59346m |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 7 \cdot 157 \) |
\( - 2 \cdot 3^{9} \cdot 7 \cdot 157 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$79128$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$355752$ |
$1.546188$ |
$-459133043658855579/2198$ |
$0.96224$ |
$4.59967$ |
$[1, -1, 1, -433946, -109918997]$ |
\(y^2+xy+y=x^3-x^2-433946x-109918997\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 1413.72.0.?, 26376.16.0.?, 79128.144.3.? |
$[]$ |
| 69650.r1 |
69650l3 |
69650.r |
69650l |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 199 \) |
\( - 2^{3} \cdot 5^{15} \cdot 7 \cdot 199 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$501480$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$7744896$ |
$2.887913$ |
$-5971815712012734093505969/21765625000$ |
$0.98054$ |
$5.98191$ |
$[1, 1, 0, -94493275, -353588254875]$ |
\(y^2+xy=x^3+x^2-94493275x-353588254875\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 12537.36.0.?, $\ldots$ |
$[]$ |
| 70518.q1 |
70518o3 |
70518.q |
70518o |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 23 \cdot 73 \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 23^{9} \cdot 73^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$846216$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$8468064$ |
$3.098900$ |
$-58176843937363646656177559257/103201378914131387904$ |
$0.99812$ |
$5.93296$ |
$[1, 0, 1, -80725142, -279172391512]$ |
\(y^2+xy+y=x^3-80725142x-279172391512\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 657.72.0.?, 3864.16.0.?, 11592.48.1.?, $\ldots$ |
$[]$ |
| 72338.h1 |
72338g3 |
72338.h |
72338g |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 5167 \) |
\( - 2 \cdot 7 \cdot 5167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$2604168$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1638792$ |
$2.470318$ |
$-10608360685414707184837890625/72338$ |
$1.02683$ |
$5.76735$ |
$[1, 0, 0, -45776388, -119213185630]$ |
\(y^2+xy=x^3-45776388x-119213185630\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 46503.72.0.?, 289352.2.0.?, 868056.16.0.?, $\ldots$ |
$[]$ |
| 73206.r1 |
73206p1 |
73206.r |
73206p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 83 \) |
\( - 2^{28} \cdot 3^{13} \cdot 7^{22} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$996$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1040449536$ |
$5.641434$ |
$-1024074375966668466862743896129521/1619330121041898938277298176$ |
$1.06312$ |
$8.41699$ |
$[1, -1, 0, -926064391464, -343480532333653184]$ |
\(y^2+xy=x^3-x^2-926064391464x-343480532333653184\) |
996.2.0.? |
$[]$ |
| 75400.w1 |
75400n1 |
75400.w |
75400n |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{11} \cdot 5^{6} \cdot 13 \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$2607360$ |
$2.139694$ |
$-226210687270871058/10933$ |
$0.99776$ |
$5.09694$ |
$[0, 0, 0, -4030075, -3113994250]$ |
\(y^2=x^3-4030075x-3113994250\) |
104.2.0.? |
$[]$ |
| 75866.c1 |
75866d3 |
75866.c |
75866d |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 5419 \) |
\( 2 \cdot 7 \cdot 5419 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$2731176$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$3347568$ |
$2.484852$ |
$12834283089128956324942057777/75866$ |
$1.01330$ |
$5.75986$ |
$[1, 0, 0, -48777099, -131125007993]$ |
\(y^2+xy=x^3-48777099x-131125007993\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 48771.72.0.?, 303464.2.0.?, 910392.16.0.?, $\ldots$ |
$[]$ |
| 77586.h1 |
77586h3 |
77586.h |
77586h |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 67 \cdot 193 \) |
\( - 2^{45} \cdot 3^{3} \cdot 67 \cdot 193 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$931032$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$16796160$ |
$3.337524$ |
$-5729945646794382294017424035977/12284166117978537984$ |
$1.00775$ |
$6.29029$ |
$[1, 0, 1, -372799737, -2770552469348]$ |
\(y^2+xy+y=x^3-372799737x-2770552469348\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 116379.72.0.?, 310344.16.0.?, 931032.144.3.? |
$[]$ |
| 80934.f1 |
80934e2 |
80934.f |
80934e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 41 \cdot 47 \) |
\( - 2^{51} \cdot 3^{9} \cdot 7 \cdot 41 \cdot 47^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$323736$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$153474912$ |
$4.422562$ |
$-373516734465401261228520303873833497/1320676779066572730148061184$ |
$1.02954$ |
$7.24763$ |
$[1, 0, 1, -15003599082, -707364701177252]$ |
\(y^2+xy+y=x^3-15003599082x-707364701177252\) |
3.8.0-3.a.1.1, 323736.16.0.? |
$[]$ |
| 81290.n1 |
81290n3 |
81290.n |
81290n |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11 \cdot 739 \) |
\( - 2^{5} \cdot 5 \cdot 11^{27} \cdot 739^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$2926440$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1155202560$ |
$5.598511$ |
$-8708767965175015075230413140502430001/1145542902056981355518395487883342560$ |
$1.05218$ |
$8.00370$ |
$[1, 0, 0, -42862516875, -51608005623604015]$ |
\(y^2+xy=x^3-42862516875x-51608005623604015\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 440.2.0.?, 1320.16.0.?, 3960.48.1.?, $\ldots$ |
$[]$ |
| 83445.e1 |
83445a1 |
83445.e |
83445a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 5563 \) |
\( - 3^{44} \cdot 5^{14} \cdot 5563 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11126$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$739022592$ |
$5.323067$ |
$-42231923384184005225324116004961162409/33436770805953547903546160888671875$ |
$1.03361$ |
$7.72139$ |
$[1, 1, 0, -72550272778, -11574721378158797]$ |
\(y^2+xy=x^3+x^2-72550272778x-11574721378158797\) |
11126.2.0.? |
$[]$ |
| 83790.b1 |
83790w1 |
83790.b |
83790w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{7} \cdot 5^{11} \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2280$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$457416960$ |
$4.952438$ |
$-2837709913983947389297630321/17162337388800000000000$ |
$1.04804$ |
$7.53190$ |
$[1, -1, 0, -47597635395, -4017746152775979]$ |
\(y^2+xy=x^3-x^2-47597635395x-4017746152775979\) |
2280.2.0.? |
$[]$ |
| 84006.g2 |
84006e2 |
84006.g |
84006e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 359 \) |
\( - 2^{5} \cdot 3^{6} \cdot 13 \cdot 359^{6} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$312$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$2$ |
$6609600$ |
$2.672684$ |
$-2525774197675689793/890553514914685856$ |
$1.04219$ |
$4.88406$ |
$[1, -1, 0, -255348, -1226832912]$ |
\(y^2+xy=x^3-x^2-255348x-1226832912\) |
3.8.0-3.a.1.2, 104.2.0.?, 312.16.0.? |
$[]$ |
| 84474.ce1 |
84474cb3 |
84474.ce |
84474cb |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 13^{3} \cdot 19^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8892$ |
$144$ |
$3$ |
$1$ |
$81$ |
$3$ |
$0$ |
$201553920$ |
$4.557808$ |
$-184768138755655701309378433/8507338464245556$ |
$1.04816$ |
$7.46985$ |
$[1, -1, 1, -38552348156, -2913553164259821]$ |
\(y^2+xy+y=x^3-x^2-38552348156x-2913553164259821\) |
3.4.0.a.1, 9.36.0.d.2, 57.8.0-3.a.1.1, 156.8.0.?, 171.72.0.?, $\ldots$ |
$[]$ |
| 84578.c1 |
84578c1 |
84578.c |
84578c |
$1$ |
$1$ |
\( 2 \cdot 13 \cdot 3253 \) |
\( - 2 \cdot 13^{5} \cdot 3253^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1257040$ |
$1.795650$ |
$-12773180766770409802257/7858051735274$ |
$1.02211$ |
$4.48653$ |
$[1, -1, 1, -486996, -130686767]$ |
\(y^2+xy+y=x^3-x^2-486996x-130686767\) |
104.2.0.? |
$[]$ |
| 84680.c1 |
84680b1 |
84680.c |
84680b |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 29 \cdot 73 \) |
\( - 2^{11} \cdot 5^{7} \cdot 29 \cdot 73^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84680$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$5701248$ |
$3.036545$ |
$-7816484373661103618/25029262269829140625$ |
$1.00755$ |
$5.26553$ |
$[0, 1, 0, -525056, -10894149856]$ |
\(y^2=x^3+x^2-525056x-10894149856\) |
84680.2.0.? |
$[]$ |
| 84825.y1 |
84825d1 |
84825.y |
84825d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 3^{9} \cdot 5^{6} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2262$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1962240$ |
$2.260460$ |
$-179910479913725952/377$ |
$1.03992$ |
$5.22326$ |
$[0, 0, 1, -7938675, -8609345719]$ |
\(y^2+y=x^3-7938675x-8609345719\) |
2262.2.0.? |
$[]$ |
| 89298.co1 |
89298cf2 |
89298.co |
89298cf |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 11^{10} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10824$ |
$16$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$4599936$ |
$2.536160$ |
$-344266624273/413526$ |
$0.93404$ |
$5.01217$ |
$[1, -1, 1, -3889931, -2955073327]$ |
\(y^2+xy+y=x^3-x^2-3889931x-2955073327\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 984.8.0.?, 10824.16.0.? |
$[]$ |
| 91605.c1 |
91605b1 |
91605.c |
91605b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 31 \cdot 197 \) |
\( - 3^{13} \cdot 5 \cdot 31^{2} \cdot 197^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$5910$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$435708000$ |
$5.124840$ |
$-47948516893526689992478988202476818784041/88213141048891021387662195$ |
$1.03874$ |
$8.19860$ |
$[1, 1, 0, -756862791922, -253439549042984189]$ |
\(y^2+xy=x^3+x^2-756862791922x-253439549042984189\) |
5910.2.0.? |
$[]$ |
| 91960.be1 |
91960e1 |
91960.be |
91960e |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{11} \cdot 5 \cdot 11^{17} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8360$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$15206400$ |
$3.126453$ |
$-92296274330873538/27104608708045$ |
$0.97140$ |
$5.37979$ |
$[0, 0, 0, -14467123, -26004255442]$ |
\(y^2=x^3-14467123x-26004255442\) |
8360.2.0.? |
$[]$ |
| 92466.j1 |
92466r1 |
92466.j |
92466r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 467 \) |
\( - 2 \cdot 3^{6} \cdot 11 \cdot 467 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41096$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$1368960$ |
$2.053722$ |
$-24449584435584170527657/10274$ |
$0.96727$ |
$5.08479$ |
$[1, -1, 1, -5441999, -4885002903]$ |
\(y^2+xy+y=x^3-x^2-5441999x-4885002903\) |
41096.2.0.? |
$[]$ |
