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 |
67830.a1 |
67830b2 |
67830.a |
67830b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{3} \cdot 7^{2} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$135660$ |
$12$ |
$0$ |
$2.741969115$ |
$1$ |
|
$4$ |
$731136$ |
$1.814867$ |
$595487492723207345689/2876601913794000$ |
$[1, 1, 0, -175273, -28198667]$ |
\(y^2+xy=x^3+x^2-175273x-28198667\) |
2.3.0.a.1, 170.6.0.?, 1596.6.0.?, 135660.12.0.? |
$[(-234, 383)]$ |
67830.a2 |
67830b1 |
67830.a |
67830b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7 \cdot 17^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$135660$ |
$12$ |
$0$ |
$5.483938230$ |
$1$ |
|
$3$ |
$365568$ |
$1.468294$ |
$-16219061115665689/336246876000000$ |
$[1, 1, 0, -5273, -896667]$ |
\(y^2+xy=x^3+x^2-5273x-896667\) |
2.3.0.a.1, 340.6.0.?, 798.6.0.?, 135660.12.0.? |
$[(898, 26375)]$ |
67830.b1 |
67830a1 |
67830.b |
67830a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{11} \cdot 7^{9} \cdot 17^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$45220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98017920$ |
$4.328583$ |
$-25185401773789197278213465569991929/7838140867990423200000000000$ |
$[1, 1, 0, -6106725383, 183726343374837]$ |
\(y^2+xy=x^3+x^2-6106725383x+183726343374837\) |
45220.2.0.? |
$[]$ |
67830.c1 |
67830d1 |
67830.c |
67830d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{7} \cdot 7 \cdot 17 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$45220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$300160$ |
$1.299641$ |
$34186044595456151/41721809062500$ |
$[1, 1, 0, 6762, 228168]$ |
\(y^2+xy=x^3+x^2+6762x+228168\) |
45220.2.0.? |
$[]$ |
67830.d1 |
67830c4 |
67830.d |
67830c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 7^{3} \cdot 17^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29982720$ |
$3.635574$ |
$1871986476135185077872481264424809/25130624502690000$ |
$[1, 1, 0, -2567593878, 50075850331332]$ |
\(y^2+xy=x^3+x^2-2567593878x+50075850331332\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
67830.d2 |
67830c3 |
67830.d |
67830c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{20} \cdot 5 \cdot 7^{3} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$29982720$ |
$3.635574$ |
$477248093271305826527844615529/27624023221986342606757680$ |
$[1, 1, 0, -162807158, 758465739108]$ |
\(y^2+xy=x^3+x^2-162807158x+758465739108\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[]$ |
67830.d3 |
67830c2 |
67830.d |
67830c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$14991360$ |
$3.289001$ |
$457029153938202261264594701929/1674530290324307001600$ |
$[1, 1, 0, -160474758, 782383568148]$ |
\(y^2+xy=x^3+x^2-160474758x+782383568148\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
67830.d4 |
67830c1 |
67830.d |
67830c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{16} \cdot 3^{5} \cdot 5 \cdot 7^{12} \cdot 17 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7495680$ |
$2.942425$ |
$-106789118111318935437459049/6763769702405403770880$ |
$[1, 1, 0, -9884038, 12593925652]$ |
\(y^2+xy=x^3+x^2-9884038x+12593925652\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
67830.e1 |
67830e1 |
67830.e |
67830e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{15} \cdot 3 \cdot 5^{7} \cdot 7^{3} \cdot 17^{2} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3326400$ |
$2.513885$ |
$-5538755026536843301110649/5221724874240000000$ |
$[1, 1, 0, -3686063, -2727661083]$ |
\(y^2+xy=x^3+x^2-3686063x-2727661083\) |
15960.2.0.? |
$[]$ |
67830.f1 |
67830i4 |
67830.f |
67830i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 19^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$90440$ |
$48$ |
$0$ |
$6.515976518$ |
$1$ |
|
$14$ |
$278528$ |
$1.354927$ |
$164916483627583086841/2791475820$ |
$[1, 1, 0, -114247, 14815801]$ |
\(y^2+xy=x^3+x^2-114247x+14815801\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 152.24.0.?, 2380.24.0.?, 90440.48.0.? |
$[(76, 2527), (201, 52)]$ |
67830.f2 |
67830i2 |
67830.f |
67830i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$45220$ |
$48$ |
$0$ |
$1.628994129$ |
$1$ |
|
$28$ |
$139264$ |
$1.008354$ |
$40382202458800441/165632720400$ |
$[1, 1, 0, -7147, 228781]$ |
\(y^2+xy=x^3+x^2-7147x+228781\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 76.24.0.?, 2380.24.0.?, 45220.48.0.? |
$[(55, 49), (27, 224)]$ |
67830.f3 |
67830i3 |
67830.f |
67830i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 17^{4} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$90440$ |
$48$ |
$0$ |
$0.407248532$ |
$1$ |
|
$30$ |
$278528$ |
$1.354927$ |
$-5727748633923961/85728251227500$ |
$[1, 1, 0, -3727, 452449]$ |
\(y^2+xy=x^3+x^2-3727x+452449\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 38.6.0.b.1, 76.24.0.?, 4760.24.0.?, $\ldots$ |
$[(13, 631), (-32, 751)]$ |
67830.f4 |
67830i1 |
67830.f |
67830i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$90440$ |
$48$ |
$0$ |
$6.515976518$ |
$1$ |
|
$7$ |
$69632$ |
$0.661780$ |
$32894113444921/18988058880$ |
$[1, 1, 0, -667, -611]$ |
\(y^2+xy=x^3+x^2-667x-611\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 76.12.0.?, 152.24.0.?, $\ldots$ |
$[(-10, 77), (-1, 8)]$ |
67830.g1 |
67830f4 |
67830.g |
67830f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{3} \cdot 7^{4} \cdot 17^{3} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$3.440850747$ |
$1$ |
|
$0$ |
$157777920$ |
$4.504997$ |
$53881562447953964400955363457130361/349271243612989819334192416500$ |
$[1, 1, 0, -7868745327, 267149873551041]$ |
\(y^2+xy=x^3+x^2-7868745327x+267149873551041\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[(111823/2, 66351887/2)]$ |
67830.g2 |
67830f2 |
67830.g |
67830f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 17^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1.720425373$ |
$1$ |
|
$6$ |
$78888960$ |
$4.158424$ |
$53629641290797203965940313877250361/2275393787389636562250000$ |
$[1, 1, 0, -7856462827, 268029985914541]$ |
\(y^2+xy=x^3+x^2-7856462827x+268029985914541\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 340.24.0.?, 7140.48.0.? |
$[(28062, 8332289)]$ |
67830.g3 |
67830f1 |
67830.g |
67830f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 17^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$3.440850747$ |
$1$ |
|
$3$ |
$39444480$ |
$3.811852$ |
$53629639652513658138966376126710841/96540214176000$ |
$[1, 1, 0, -7856462747, 268029991646109]$ |
\(y^2+xy=x^3+x^2-7856462747x+268029991646109\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(52198, 376461)]$ |
67830.g4 |
67830f3 |
67830.g |
67830f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{2} \cdot 3^{5} \cdot 5^{12} \cdot 7 \cdot 17^{12} \cdot 19^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$3.440850747$ |
$1$ |
|
$4$ |
$157777920$ |
$4.504997$ |
$-53378532722347236878204938507244281/349380462515179950606445312500$ |
$[1, 1, 0, -7844181607, 268909731459289]$ |
\(y^2+xy=x^3+x^2-7844181607x+268909731459289\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 680.24.0.?, 14280.48.0.? |
$[(17198, 11785151)]$ |
67830.h1 |
67830g1 |
67830.h |
67830g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5 \cdot 7^{7} \cdot 17 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$45220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3104640$ |
$2.666969$ |
$-726230423063275053252841/464513665675101880320$ |
$[1, 1, 0, -1872622, 1430343604]$ |
\(y^2+xy=x^3+x^2-1872622x+1430343604\) |
45220.2.0.? |
$[]$ |
67830.i1 |
67830h4 |
67830.i |
67830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{28} \cdot 7^{4} \cdot 17 \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$90440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$242565120$ |
$4.723724$ |
$53346089623199775002480961307061641/27033171705007553100585937500000$ |
$[1, 1, 0, -7842592072, -94264625472416]$ |
\(y^2+xy=x^3+x^2-7842592072x-94264625472416\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 136.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
67830.i2 |
67830h2 |
67830.i |
67830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{14} \cdot 7^{2} \cdot 17^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$90440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$121282560$ |
$4.377151$ |
$28068971896171660058216122889072521/27319049408986256250000000000$ |
$[1, 1, 0, -6331417192, -193749196877504]$ |
\(y^2+xy=x^3+x^2-6331417192x-193749196877504\) |
2.6.0.a.1, 76.12.0.?, 136.12.0.?, 140.12.0.?, 2584.24.0.?, $\ldots$ |
$[]$ |
67830.i3 |
67830h1 |
67830.i |
67830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 17^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$90440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$60641280$ |
$4.030579$ |
$28049296969044664721145684928081801/26609057432616960000000$ |
$[1, 1, 0, -6329937512, -193844354210496]$ |
\(y^2+xy=x^3+x^2-6329937512x-193844354210496\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 136.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
67830.i4 |
67830h3 |
67830.i |
67830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{5} \cdot 3^{16} \cdot 5^{7} \cdot 7 \cdot 17 \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$90440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$242565120$ |
$4.723724$ |
$-12569379613224069554465172689072521/28344595067338137399654097500000$ |
$[1, 1, 0, -4843917192, -287143669377504]$ |
\(y^2+xy=x^3+x^2-4843917192x-287143669377504\) |
2.3.0.a.1, 4.6.0.c.1, 136.12.0.?, 140.12.0.?, 152.12.0.?, $\ldots$ |
$[]$ |
67830.j1 |
67830l1 |
67830.j |
67830l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{4} \cdot 7^{5} \cdot 17^{5} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18088$ |
$2$ |
$0$ |
$0.133841438$ |
$1$ |
|
$8$ |
$1459200$ |
$2.362331$ |
$5228123602722998239079/14874023044473705000$ |
$[1, 1, 0, 361583, 165761821]$ |
\(y^2+xy=x^3+x^2+361583x+165761821\) |
18088.2.0.? |
$[(3007, 167179)]$ |
67830.k1 |
67830j4 |
67830.k |
67830j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{5} \cdot 7^{4} \cdot 17^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$271320$ |
$48$ |
$0$ |
$1.552307783$ |
$1$ |
|
$6$ |
$1597440$ |
$2.344730$ |
$112763439169361881747561/4410075563770668750$ |
$[1, 1, 0, -1006502, -375717234]$ |
\(y^2+xy=x^3+x^2-1006502x-375717234\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-593, 3909)]$ |
67830.k2 |
67830j2 |
67830.k |
67830j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 17^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$271320$ |
$48$ |
$0$ |
$0.776153891$ |
$1$ |
|
$14$ |
$798720$ |
$1.998158$ |
$476767764597000247561/145575633164062500$ |
$[1, 1, 0, -162752, 17301516]$ |
\(y^2+xy=x^3+x^2-162752x+17301516\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 120.24.0.?, 9044.12.0.?, $\ldots$ |
$[(82, 2084)]$ |
67830.k3 |
67830j1 |
67830.k |
67830j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{5} \cdot 7 \cdot 17 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$271320$ |
$48$ |
$0$ |
$1.552307783$ |
$1$ |
|
$5$ |
$399360$ |
$1.651583$ |
$359771470011326084041/60079405050000$ |
$[1, 1, 0, -148172, 21888384]$ |
\(y^2+xy=x^3+x^2-148172x+21888384\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(228, 36)]$ |
67830.k4 |
67830j3 |
67830.k |
67830j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{3} \cdot 5^{20} \cdot 7 \cdot 17 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$271320$ |
$48$ |
$0$ |
$1.552307783$ |
$4$ |
$2$ |
$4$ |
$1597440$ |
$2.344730$ |
$9925122178496507474519/11643791198730468750$ |
$[1, 1, 0, 447718, 117052314]$ |
\(y^2+xy=x^3+x^2+447718x+117052314\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(-77, 9101)]$ |
67830.l1 |
67830k1 |
67830.l |
67830k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{29} \cdot 3^{5} \cdot 5^{3} \cdot 7^{3} \cdot 17^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2088000$ |
$2.421272$ |
$5418426396033376591319/30713670770098176000$ |
$[1, 1, 0, 365918, -252509324]$ |
\(y^2+xy=x^3+x^2+365918x-252509324\) |
15960.2.0.? |
$[]$ |
67830.m1 |
67830o2 |
67830.m |
67830o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19380$ |
$12$ |
$0$ |
$0.339264077$ |
$1$ |
|
$40$ |
$272384$ |
$1.414038$ |
$452010552257419849/128690085617100$ |
$[1, 0, 1, -15989, -555964]$ |
\(y^2+xy+y=x^3-15989x-555964\) |
2.3.0.a.1, 76.6.0.?, 1020.6.0.?, 19380.12.0.? |
$[(-72, 508), (-99, 292)]$ |
67830.m2 |
67830o1 |
67830.m |
67830o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 17 \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19380$ |
$12$ |
$0$ |
$1.357056311$ |
$1$ |
|
$21$ |
$136192$ |
$1.067465$ |
$2015224898618231/2578024577520$ |
$[1, 0, 1, 2631, -56948]$ |
\(y^2+xy+y=x^3+2631x-56948\) |
2.3.0.a.1, 76.6.0.?, 510.6.0.?, 19380.12.0.? |
$[(95, 978), (23, 114)]$ |
67830.n1 |
67830n2 |
67830.n |
67830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$135660$ |
$12$ |
$0$ |
$0.385152294$ |
$1$ |
|
$10$ |
$175104$ |
$1.187180$ |
$2680110489192084649/70150328640$ |
$[1, 0, 1, -28939, 1892342]$ |
\(y^2+xy+y=x^3-28939x+1892342\) |
2.3.0.a.1, 170.6.0.?, 1596.6.0.?, 135660.12.0.? |
$[(103, 32)]$ |
67830.n2 |
67830n1 |
67830.n |
67830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$135660$ |
$12$ |
$0$ |
$0.770304589$ |
$1$ |
|
$7$ |
$87552$ |
$0.840607$ |
$-581116772167849/106270617600$ |
$[1, 0, 1, -1739, 31862]$ |
\(y^2+xy+y=x^3-1739x+31862\) |
2.3.0.a.1, 340.6.0.?, 798.6.0.?, 135660.12.0.? |
$[(15, 88)]$ |
67830.o1 |
67830m2 |
67830.o |
67830m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{7} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \cdot 17 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$38760$ |
$12$ |
$0$ |
$10.59474481$ |
$1$ |
|
$0$ |
$559104$ |
$1.672199$ |
$1179487844109684177769/13959414000000$ |
$[1, 0, 1, -220119, -39767558]$ |
\(y^2+xy+y=x^3-220119x-39767558\) |
2.3.0.a.1, 60.6.0.c.1, 2584.6.0.?, 38760.12.0.? |
$[(218506/15, 85234876/15)]$ |
67830.o2 |
67830m1 |
67830.o |
67830m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{14} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 17^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$38760$ |
$12$ |
$0$ |
$5.297372405$ |
$1$ |
|
$1$ |
$279552$ |
$1.325626$ |
$-266007743865635689/31408871424000$ |
$[1, 0, 1, -13399, -656134]$ |
\(y^2+xy+y=x^3-13399x-656134\) |
2.3.0.a.1, 30.6.0.a.1, 2584.6.0.?, 38760.12.0.? |
$[(1690/3, 47659/3)]$ |
67830.p1 |
67830s1 |
67830.p |
67830s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{7} \cdot 3^{20} \cdot 5^{4} \cdot 7^{13} \cdot 17 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18088$ |
$2$ |
$0$ |
$0.293307733$ |
$1$ |
|
$4$ |
$64995840$ |
$4.040741$ |
$72448196218150707243102543911/8729555368583338109588880000$ |
$[1, 0, 1, 86849626, 4484452919672]$ |
\(y^2+xy+y=x^3+86849626x+4484452919672\) |
18088.2.0.? |
$[(-11844, 1345459)]$ |
67830.q1 |
67830t4 |
67830.q |
67830t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$135660$ |
$96$ |
$1$ |
$0.610032934$ |
$1$ |
|
$6$ |
$1741824$ |
$2.317242$ |
$21387926929424202058969/6774718645013256000$ |
$[1, 0, 1, -578294, 113832776]$ |
\(y^2+xy+y=x^3-578294x+113832776\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 170.6.0.?, 510.48.0.?, $\ldots$ |
$[(-19, 11181)]$ |
67830.q2 |
67830t2 |
67830.q |
67830t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 17^{3} \cdot 19^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$135660$ |
$96$ |
$1$ |
$1.830098802$ |
$1$ |
|
$12$ |
$580608$ |
$1.767937$ |
$15909779688753017303209/1267090311060$ |
$[1, 0, 1, -523979, 145944722]$ |
\(y^2+xy+y=x^3-523979x+145944722\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 170.6.0.?, 510.48.0.?, $\ldots$ |
$[(413, -36)]$ |
67830.q3 |
67830t1 |
67830.q |
67830t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 17^{6} \cdot 19 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$135660$ |
$96$ |
$1$ |
$3.660197605$ |
$1$ |
|
$9$ |
$290304$ |
$1.421362$ |
$-3859320826323964009/34671204111600$ |
$[1, 0, 1, -32679, 2288602]$ |
\(y^2+xy+y=x^3-32679x+2288602\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 340.6.0.?, 798.48.0.?, $\ldots$ |
$[(115, 176)]$ |
67830.q4 |
67830t3 |
67830.q |
67830t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$135660$ |
$96$ |
$1$ |
$1.220065868$ |
$1$ |
|
$3$ |
$870912$ |
$1.970669$ |
$116350853426302261031/130543121856000000$ |
$[1, 0, 1, 101706, 12104776]$ |
\(y^2+xy+y=x^3+101706x+12104776\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 340.6.0.?, 798.48.0.?, $\ldots$ |
$[(469, 12533)]$ |
67830.r1 |
67830q4 |
67830.r |
67830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 17 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$90440$ |
$48$ |
$0$ |
$1.096989739$ |
$1$ |
|
$6$ |
$147456$ |
$1.142923$ |
$3305345506018293529/8724633750$ |
$[1, 0, 1, -31034, 2101646]$ |
\(y^2+xy+y=x^3-31034x+2101646\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 280.24.0.?, 1292.12.0.?, $\ldots$ |
$[(108, 58)]$ |
67830.r2 |
67830q2 |
67830.r |
67830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$90440$ |
$48$ |
$0$ |
$0.548494869$ |
$1$ |
|
$16$ |
$73728$ |
$0.796350$ |
$837201991720249/41408180100$ |
$[1, 0, 1, -1964, 31862]$ |
\(y^2+xy+y=x^3-1964x+31862\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 1292.12.0.?, $\ldots$ |
$[(6, 139)]$ |
67830.r3 |
67830q1 |
67830.r |
67830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$90440$ |
$48$ |
$0$ |
$1.096989739$ |
$1$ |
|
$7$ |
$36864$ |
$0.449776$ |
$4483146738169/1186753680$ |
$[1, 0, 1, -344, -1834]$ |
\(y^2+xy+y=x^3-344x-1834\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(-6, 7)]$ |
67830.r4 |
67830q3 |
67830.r |
67830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$90440$ |
$48$ |
$0$ |
$1.096989739$ |
$1$ |
|
$6$ |
$147456$ |
$1.142923$ |
$184715807453351/6857260351830$ |
$[1, 0, 1, 1186, 125102]$ |
\(y^2+xy+y=x^3+1186x+125102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(48, 517)]$ |
67830.s1 |
67830p8 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{12} \cdot 7^{12} \cdot 17 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$271320$ |
$384$ |
$5$ |
$3.527156831$ |
$1$ |
|
$4$ |
$59719680$ |
$4.169014$ |
$2708215857449597952771459256806409/1815677562935478375000000000$ |
$[1, 0, 1, -2903932529, 60196943047556]$ |
\(y^2+xy+y=x^3-2903932529x+60196943047556\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$ |
$[(31734, 21838)]$ |
67830.s2 |
67830p5 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 17^{3} \cdot 19 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$271320$ |
$384$ |
$5$ |
$10.58147049$ |
$1$ |
|
$6$ |
$19906560$ |
$3.619705$ |
$2706908330196708836642873424493849/816939805815000$ |
$[1, 0, 1, -2903465114, 60217301097812]$ |
\(y^2+xy+y=x^3-2903465114x+60217301097812\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$ |
$[(1046166, 1068127129)]$ |
67830.s3 |
67830p6 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$271320$ |
$384$ |
$5$ |
$1.763578415$ |
$1$ |
|
$12$ |
$29859840$ |
$3.822437$ |
$1136315122909965387044499819529/530704359775758422016000000$ |
$[1, 0, 1, -217399409, 541937811332]$ |
\(y^2+xy+y=x^3-217399409x+541937811332\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 24.96.0-24.o.2.31, $\ldots$ |
$[(2550, 63163)]$ |
67830.s4 |
67830p2 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$271320$ |
$384$ |
$5$ |
$5.290735247$ |
$1$ |
|
$14$ |
$9953280$ |
$3.273132$ |
$660866552951225193140994678169/363054521201227329600$ |
$[1, 0, 1, -181466594, 940883727476]$ |
\(y^2+xy+y=x^3-181466594x+940883727476\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[(-15042, 524368)]$ |
67830.s5 |
67830p4 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 17^{12} \cdot 19^{4} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$271320$ |
$384$ |
$5$ |
$10.58147049$ |
$1$ |
|
$4$ |
$19906560$ |
$3.619705$ |
$-649778658927959232413187423769/15498405515425377751317720$ |
$[1, 0, 1, -180445994, 951990304916]$ |
\(y^2+xy+y=x^3-180445994x+951990304916\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$ |
$[(-2540586/13, 1152471952/13)]$ |
67830.s6 |
67830p3 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{36} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 17 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.2 |
2B, 3B.1.2 |
$271320$ |
$384$ |
$5$ |
$3.527156831$ |
$1$ |
|
$5$ |
$14929920$ |
$3.475864$ |
$152195662006675487969752714249/2254051004206282702848000$ |
$[1, 0, 1, -111231089, -445724835964]$ |
\(y^2+xy+y=x^3-111231089x-445724835964\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$ |
$[(-6636, 17083)]$ |
67830.s7 |
67830p1 |
67830.s |
67830p |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{12} \cdot 3^{24} \cdot 5 \cdot 7 \cdot 17^{3} \cdot 19 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.1 |
2B, 3B.1.1 |
$271320$ |
$384$ |
$5$ |
$10.58147049$ |
$1$ |
|
$5$ |
$4976640$ |
$2.926559$ |
$164083032511008797673646489/3779535863669623787520$ |
$[1, 0, 1, -11405474, 14526794612]$ |
\(y^2+xy+y=x^3-11405474x+14526794612\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$ |
$[(1477185/32, 1051296209/32)]$ |