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 |
4002.a1 |
4002c2 |
4002.a |
4002c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3 \cdot 23^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$2.341542326$ |
$1$ |
|
$10$ |
$2688$ |
$0.526122$ |
$5654307459987577/368184$ |
$1.02746$ |
$4.37289$ |
$[1, 1, 0, -3711, 85485]$ |
\(y^2+xy=x^3+x^2-3711x+85485\) |
2.3.0.a.1, 92.6.0.?, 696.6.0.?, 16008.12.0.? |
$[(29, 43), (-17, 388)]$ |
4002.a2 |
4002c1 |
4002.a |
4002c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{2} \cdot 23 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$0.585385581$ |
$1$ |
|
$21$ |
$1344$ |
$0.179549$ |
$-1372441819897/11141568$ |
$0.88511$ |
$3.37107$ |
$[1, 1, 0, -231, 1269]$ |
\(y^2+xy=x^3+x^2-231x+1269\) |
2.3.0.a.1, 46.6.0.a.1, 696.6.0.?, 16008.12.0.? |
$[(6, 9), (9, 0)]$ |
4002.b1 |
4002a2 |
4002.b |
4002a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{8} \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$1.169432266$ |
$1$ |
|
$4$ |
$1792$ |
$0.332310$ |
$2189403771625/201304602$ |
$0.94902$ |
$3.42570$ |
$[1, 1, 0, -270, 1458]$ |
\(y^2+xy=x^3+x^2-270x+1458\) |
2.3.0.a.1, 92.6.0.?, 232.6.0.?, 5336.12.0.? |
$[(1, 34)]$ |
4002.b2 |
4002a1 |
4002.b |
4002a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{4} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$0.584716133$ |
$1$ |
|
$7$ |
$896$ |
$-0.014264$ |
$817400375/6267132$ |
$0.86704$ |
$2.77617$ |
$[1, 1, 0, 20, 124]$ |
\(y^2+xy=x^3+x^2+20x+124\) |
2.3.0.a.1, 46.6.0.a.1, 232.6.0.?, 5336.12.0.? |
$[(-2, 10)]$ |
4002.c1 |
4002b1 |
4002.c |
4002b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{11} \cdot 23 \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7392$ |
$1.036180$ |
$-31976054253232201/397480312836$ |
$0.95122$ |
$4.58434$ |
$[1, 1, 0, -6612, -211932]$ |
\(y^2+xy=x^3+x^2-6612x-211932\) |
8004.2.0.? |
$[]$ |
4002.d1 |
4002g1 |
4002.d |
4002g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{3} \cdot 3 \cdot 23^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.343887303$ |
$1$ |
|
$2$ |
$2112$ |
$0.383047$ |
$-9714044119753/194769336$ |
$0.90090$ |
$3.60944$ |
$[1, 0, 1, -445, 3632]$ |
\(y^2+xy+y=x^3-445x+3632\) |
696.2.0.? |
$[(6, 31)]$ |
4002.e1 |
4002d1 |
4002.e |
4002d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.770253$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.94125$ |
$[1, 0, 1, -699, 14470]$ |
\(y^2+xy+y=x^3-699x+14470\) |
8004.2.0.? |
$[]$ |
4002.f1 |
4002f2 |
4002.f |
4002f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{4} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$0.431534698$ |
$1$ |
|
$6$ |
$24576$ |
$1.631374$ |
$887320005345582835753/5563780852176$ |
$1.02888$ |
$5.81523$ |
$[1, 0, 1, -200195, 34459886]$ |
\(y^2+xy+y=x^3-200195x+34459886\) |
2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.? |
$[(252, 46)]$ |
4002.f2 |
4002f1 |
4002.f |
4002f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{8} \cdot 3^{8} \cdot 23^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$0.215767349$ |
$1$ |
|
$9$ |
$12288$ |
$1.284801$ |
$-204520739414888233/17186581700352$ |
$0.96192$ |
$4.82185$ |
$[1, 0, 1, -12275, 559118]$ |
\(y^2+xy+y=x^3-12275x+559118\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(-42, 1021)]$ |
4002.g1 |
4002e2 |
4002.g |
4002e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{6} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15360$ |
$1.402719$ |
$1268188156752269618809/22367178$ |
$0.99598$ |
$5.85829$ |
$[1, 0, 1, -225504, -41235956]$ |
\(y^2+xy+y=x^3-225504x-41235956\) |
2.3.0.a.1, 92.6.0.?, 232.6.0.?, 5336.12.0.? |
$[]$ |
4002.g2 |
4002e1 |
4002.g |
4002e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{12} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.056145$ |
$-309586644846318169/41118653052$ |
$0.96220$ |
$4.85551$ |
$[1, 0, 1, -14094, -645236]$ |
\(y^2+xy+y=x^3-14094x-645236\) |
2.3.0.a.1, 46.6.0.a.1, 232.6.0.?, 5336.12.0.? |
$[]$ |
4002.h1 |
4002k2 |
4002.h |
4002k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{7} \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$4.754952439$ |
$1$ |
|
$0$ |
$16128$ |
$1.509398$ |
$88694637150489389137/6546157250904$ |
$0.98627$ |
$5.53758$ |
$[1, 1, 1, -92909, -10938229]$ |
\(y^2+xy+y=x^3+x^2-92909x-10938229\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(2663/2, 116755/2)]$ |
4002.h2 |
4002k1 |
4002.h |
4002k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{14} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$2.377476219$ |
$1$ |
|
$3$ |
$8064$ |
$1.162823$ |
$-17696534894747857/5921086039488$ |
$0.95388$ |
$4.56546$ |
$[1, 1, 1, -5429, -195685]$ |
\(y^2+xy+y=x^3+x^2-5429x-195685\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(119, 868)]$ |
4002.i1 |
4002j2 |
4002.i |
4002j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{9} \cdot 3 \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.921714264$ |
$1$ |
|
$6$ |
$6912$ |
$1.071085$ |
$52260349338689617/574696932864$ |
$0.99330$ |
$4.64100$ |
$[1, 1, 1, -7789, -265309]$ |
\(y^2+xy+y=x^3+x^2-7789x-265309\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(-53, 72)]$ |
4002.i2 |
4002j1 |
4002.i |
4002j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{18} \cdot 3^{2} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.460857132$ |
$1$ |
|
$11$ |
$3456$ |
$0.724511$ |
$-143301984337/45635862528$ |
$0.97392$ |
$3.85801$ |
$[1, 1, 1, -109, -10333]$ |
\(y^2+xy+y=x^3+x^2-109x-10333\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(35, 156)]$ |
4002.j1 |
4002i1 |
4002.j |
4002i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{7} \cdot 23^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.290382442$ |
$1$ |
|
$6$ |
$10080$ |
$1.254274$ |
$577572497126639/26125579653696$ |
$0.98856$ |
$4.62180$ |
$[1, 1, 1, 1735, 245063]$ |
\(y^2+xy+y=x^3+x^2+1735x+245063\) |
8004.2.0.? |
$[(17, 520)]$ |
4002.k1 |
4002h1 |
4002.k |
4002h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{9} \cdot 3 \cdot 23^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.222496791$ |
$1$ |
|
$4$ |
$864$ |
$0.102630$ |
$30342134159/23563776$ |
$0.87653$ |
$2.90984$ |
$[1, 1, 1, 65, -91]$ |
\(y^2+xy+y=x^3+x^2+65x-91\) |
696.2.0.? |
$[(19, 82)]$ |
4002.l1 |
4002l3 |
4002.l |
4002l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3 \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$16008$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$3840$ |
$0.551379$ |
$719732649848113/97384668$ |
$0.92955$ |
$4.12438$ |
$[1, 1, 1, -1867, 30269]$ |
\(y^2+xy+y=x^3+x^2-1867x+30269\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 184.24.0.?, 348.24.0.?, 16008.48.0.? |
$[]$ |
4002.l2 |
4002l2 |
4002.l |
4002l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{2} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$8004$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1920$ |
$0.204806$ |
$226646274673/64064016$ |
$0.87893$ |
$3.15227$ |
$[1, 1, 1, -127, 341]$ |
\(y^2+xy+y=x^3+x^2-127x+341\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 92.24.0.?, 348.24.0.?, 8004.48.0.? |
$[]$ |
4002.l3 |
4002l1 |
4002.l |
4002l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3 \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$16008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$960$ |
$-0.141768$ |
$11497268593/512256$ |
$0.84057$ |
$2.79284$ |
$[1, 1, 1, -47, -139]$ |
\(y^2+xy+y=x^3+x^2-47x-139\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
4002.l4 |
4002l4 |
4002.l |
4002l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3^{4} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$16008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.551379$ |
$4082957867087/5270658012$ |
$0.91544$ |
$3.52586$ |
$[1, 1, 1, 333, 2733]$ |
\(y^2+xy+y=x^3+x^2+333x+2733\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 46.6.0.a.1, 92.24.0.?, 696.24.0.?, $\ldots$ |
$[]$ |
4002.m1 |
4002m1 |
4002.m |
4002m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$8004$ |
$16$ |
$0$ |
$0.906375156$ |
$1$ |
|
$8$ |
$1440$ |
$-0.029222$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.03844$ |
$[1, 0, 0, -92, 336]$ |
\(y^2+xy=x^3-92x+336\) |
3.8.0-3.a.1.2, 8004.16.0.? |
$[(6, 0)]$ |
4002.m2 |
4002m2 |
4002.m |
4002m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{2} \cdot 3 \cdot 23^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$8004$ |
$16$ |
$0$ |
$2.719125469$ |
$1$ |
|
$2$ |
$4320$ |
$0.520083$ |
$3901777377407/3560891556$ |
$0.91510$ |
$3.49536$ |
$[1, 0, 0, 328, 1764]$ |
\(y^2+xy=x^3+328x+1764\) |
3.8.0-3.a.1.1, 8004.16.0.? |
$[(0, 42)]$ |
4002.n1 |
4002o3 |
4002.n |
4002o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{3} \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$23040$ |
$1.528122$ |
$1571623248760107387697/12708699174$ |
$0.99673$ |
$5.88415$ |
$[1, 0, 0, -242219, -45904101]$ |
\(y^2+xy=x^3-242219x-45904101\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 184.24.0.?, 552.48.0.? |
$[]$ |
4002.n2 |
4002o4 |
4002.n |
4002o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{3} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.528122$ |
$1077625178826324337/621306044897562$ |
$1.10134$ |
$5.00585$ |
$[1, 0, 0, -21359, -75057]$ |
\(y^2+xy=x^3-21359x-75057\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 92.12.0.?, $\ldots$ |
$[]$ |
4002.n3 |
4002o2 |
4002.n |
4002o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{6} \cdot 23^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$11520$ |
$1.181547$ |
$384483228869610577/1091026208484$ |
$0.96328$ |
$4.88160$ |
$[1, 0, 0, -15149, -717171]$ |
\(y^2+xy=x^3-15149x-717171\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 92.24.0.?, 552.48.0.? |
$[]$ |
4002.n4 |
4002o1 |
4002.n |
4002o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{12} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5760$ |
$0.834974$ |
$-20375497153297/164474612208$ |
$0.94786$ |
$4.02071$ |
$[1, 0, 0, -569, -20247]$ |
\(y^2+xy=x^3-569x-20247\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[]$ |
4002.o1 |
4002r1 |
4002.o |
4002r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{19} \cdot 3^{9} \cdot 23^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.028213941$ |
$1$ |
|
$18$ |
$16416$ |
$1.476389$ |
$-2352048005459422369/158312380760064$ |
$0.97272$ |
$5.11322$ |
$[1, 0, 0, -27706, 1873124]$ |
\(y^2+xy=x^3-27706x+1873124\) |
696.2.0.? |
$[(68, 518)]$ |
4002.p1 |
4002q1 |
4002.p |
4002q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{8} \cdot 3^{3} \cdot 23 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.138540479$ |
$1$ |
|
$8$ |
$5760$ |
$1.082815$ |
$-257854523348449/3260780423424$ |
$0.96802$ |
$4.37787$ |
$[1, 0, 0, -1326, -88956]$ |
\(y^2+xy=x^3-1326x-88956\) |
8004.2.0.? |
$[(468, 9858)]$ |
4002.q1 |
4002n2 |
4002.q |
4002n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( 2^{3} \cdot 3^{4} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.415898$ |
$207317019156625/9940968$ |
$0.98794$ |
$3.97433$ |
$[1, 0, 0, -1233, -16767]$ |
\(y^2+xy=x^3-1233x-16767\) |
2.3.0.a.1, 92.6.0.?, 232.6.0.?, 5336.12.0.? |
$[]$ |
4002.q2 |
4002n1 |
4002.q |
4002n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{2} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$5336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.069325$ |
$-43059012625/11141568$ |
$0.93843$ |
$2.99660$ |
$[1, 0, 0, -73, -295]$ |
\(y^2+xy=x^3-73x-295\) |
2.3.0.a.1, 46.6.0.a.1, 232.6.0.?, 5336.12.0.? |
$[]$ |
4002.r1 |
4002p1 |
4002.r |
4002p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{3} \cdot 3 \cdot 23^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33120$ |
$1.782099$ |
$-657113243203147908283777/368184$ |
$1.01566$ |
$6.61183$ |
$[1, 0, 0, -1811224, 938072696]$ |
\(y^2+xy=x^3-1811224x+938072696\) |
696.2.0.? |
$[]$ |