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 |
489762.a1 |
489762a2 |
489762.a |
489762a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2 \cdot 3^{8} \cdot 7^{4} \cdot 13^{6} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$7.557051335$ |
$1$ |
|
$10$ |
$7077888$ |
$1.934820$ |
$42180533641/22862322$ |
$1.12204$ |
$3.54509$ |
$[1, -1, 0, -110304, 3578134]$ |
\(y^2+xy=x^3-x^2-110304x+3578134\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(413, 5117), (-19, 2390)]$ |
489762.a2 |
489762a1 |
489762.a |
489762a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{10} \cdot 7^{2} \cdot 13^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1.889262833$ |
$1$ |
|
$17$ |
$3538944$ |
$1.588247$ |
$590589719/365148$ |
$0.90611$ |
$3.21928$ |
$[1, -1, 0, 26586, 429664]$ |
\(y^2+xy=x^3-x^2+26586x+429664\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(62, 1490), (-3, 593)]$ |
489762.b1 |
489762b2 |
489762.b |
489762b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2 \cdot 3^{11} \cdot 7^{4} \cdot 13^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7176$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61931520$ |
$2.986862$ |
$4222314736233116041/8024675022$ |
$0.94930$ |
$4.95114$ |
$[1, -1, 0, -51215904, -141063692886]$ |
\(y^2+xy=x^3-x^2-51215904x-141063692886\) |
2.3.0.a.1, 92.6.0.?, 312.6.0.?, 7176.12.0.? |
$[]$ |
489762.b2 |
489762b1 |
489762.b |
489762b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{16} \cdot 7^{2} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7176$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30965760$ |
$2.640289$ |
$-998830456240681/44986598748$ |
$0.90474$ |
$4.31959$ |
$[1, -1, 0, -3167514, -2251894176]$ |
\(y^2+xy=x^3-x^2-3167514x-2251894176\) |
2.3.0.a.1, 46.6.0.a.1, 312.6.0.?, 7176.12.0.? |
$[]$ |
489762.c1 |
489762c2 |
489762.c |
489762c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 13^{12} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3588$ |
$12$ |
$0$ |
$2.259472129$ |
$1$ |
|
$6$ |
$77414400$ |
$3.044624$ |
$1021360308093243/500462864356$ |
$0.93451$ |
$4.56714$ |
$[1, -1, 0, -9573459, -4461389191]$ |
\(y^2+xy=x^3-x^2-9573459x-4461389191\) |
2.3.0.a.1, 12.6.0.a.1, 1196.6.0.?, 3588.12.0.? |
$[(-809, 52879)]$ |
489762.c2 |
489762c1 |
489762.c |
489762c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3588$ |
$12$ |
$0$ |
$1.129736064$ |
$1$ |
|
$9$ |
$38707200$ |
$2.698051$ |
$154568843091963/1941198896$ |
$0.89538$ |
$4.42301$ |
$[1, -1, 0, -5101719, 4388184269]$ |
\(y^2+xy=x^3-x^2-5101719x+4388184269\) |
2.3.0.a.1, 12.6.0.b.1, 1196.6.0.?, 1794.6.0.?, 3588.12.0.? |
$[(1765, 28777)]$ |
489762.d1 |
489762d1 |
489762.d |
489762d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 13^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$17.60025142$ |
$1$ |
|
$0$ |
$29652480$ |
$2.730801$ |
$-51514785673/6816096$ |
$0.87619$ |
$4.35915$ |
$[1, -1, 0, -3604041, -2918169747]$ |
\(y^2+xy=x^3-x^2-3604041x-2918169747\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 3864.8.0.?, 50232.16.0.? |
$[(104483757/157, 923430730899/157)]$ |
489762.d2 |
489762d2 |
489762.d |
489762d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{7} \cdot 7 \cdot 13^{10} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$5.866750476$ |
$1$ |
|
$2$ |
$88957440$ |
$3.280106$ |
$14074607107847/8372453376$ |
$0.97223$ |
$4.77165$ |
$[1, -1, 0, 23386104, 7267910976]$ |
\(y^2+xy=x^3-x^2+23386104x+7267910976\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 3864.8.0.?, 50232.16.0.? |
$[(5259, 522426)]$ |
489762.e1 |
489762e1 |
489762.e |
489762e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{4} \cdot 13^{8} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$3.322700070$ |
$1$ |
|
$2$ |
$127475712$ |
$3.444561$ |
$2917645350022143/11008380780544$ |
$0.98477$ |
$4.91763$ |
$[1, -1, 0, 25033854, -113272787692]$ |
\(y^2+xy=x^3-x^2+25033854x-113272787692\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(6004, 500422)]$ |
489762.f1 |
489762f1 |
489762.f |
489762f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{16} \cdot 7^{2} \cdot 13^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$8372$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77475840$ |
$3.249374$ |
$3278609582807/6122436516$ |
$0.93299$ |
$4.72155$ |
$[1, -1, 0, 14389389, -31354986519]$ |
\(y^2+xy=x^3-x^2+14389389x-31354986519\) |
4.2.0.a.1, 8372.4.0.? |
$[]$ |
489762.g1 |
489762g1 |
489762.g |
489762g |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{15} \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$2.946132627$ |
$1$ |
|
$2$ |
$3981312$ |
$1.835815$ |
$-100089230083481353/354923856$ |
$0.95003$ |
$3.88244$ |
$[1, -1, 0, -481311, -128404899]$ |
\(y^2+xy=x^3-x^2-481311x-128404899\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 276.8.0.?, 3588.16.0.? |
$[(1389, 42681)]$ |
489762.g2 |
489762g2 |
489762.g |
489762g |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{6} \cdot 13^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3588$ |
$16$ |
$0$ |
$0.982044209$ |
$1$ |
|
$4$ |
$11943936$ |
$2.385120$ |
$-26117117748640633/158305301876736$ |
$0.97427$ |
$3.96614$ |
$[1, -1, 0, -307566, -222312492]$ |
\(y^2+xy=x^3-x^2-307566x-222312492\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 276.8.0.?, 3588.16.0.? |
$[(2307, 105348)]$ |
489762.h1 |
489762h1 |
489762.h |
489762h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{11} \cdot 7^{3} \cdot 13^{8} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$1991808000$ |
$4.866287$ |
$558058791583853833465367617/9081241477824096$ |
$1.02807$ |
$6.76996$ |
$[1, -1, 0, -144237060486, 21084540690979156]$ |
\(y^2+xy=x^3-x^2-144237060486x+21084540690979156\) |
3864.2.0.? |
$[]$ |
489762.i1 |
489762i2 |
489762.i |
489762i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$32503680$ |
$2.625107$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.69840$ |
$[1, -1, 0, -16983771, -26935861627]$ |
\(y^2+xy=x^3-x^2-16983771x-26935861627\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 3864.8.0.?, 50232.16.0.? |
$[]$ |
489762.i2 |
489762i1 |
489762.i |
489762i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7 \cdot 13^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10834560$ |
$2.075798$ |
$-5999796014211/2790817792$ |
$0.99901$ |
$3.71694$ |
$[1, -1, 0, -191931, -43418907]$ |
\(y^2+xy=x^3-x^2-191931x-43418907\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 3864.8.0.?, 50232.16.0.? |
$[]$ |
489762.j1 |
489762j2 |
489762.j |
489762j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 13^{4} \cdot 23^{3} \) |
$2$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$276$ |
$16$ |
$0$ |
$0.664676281$ |
$1$ |
|
$38$ |
$11612160$ |
$2.195034$ |
$-197714101181857/68708898384$ |
$0.94331$ |
$3.83460$ |
$[1, -1, 0, -333891, 94030821]$ |
\(y^2+xy=x^3-x^2-333891x+94030821\) |
3.8.0-3.a.1.2, 276.16.0.? |
$[(426, 5169), (582, 9537)]$ |
489762.j2 |
489762j1 |
489762.j |
489762j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$276$ |
$16$ |
$0$ |
$0.664676281$ |
$1$ |
|
$16$ |
$3870720$ |
$1.645729$ |
$160526692703/124637184$ |
$0.90949$ |
$3.25555$ |
$[1, -1, 0, 31149, -1244619]$ |
\(y^2+xy=x^3-x^2+31149x-1244619\) |
3.8.0-3.a.1.1, 276.16.0.? |
$[(75, 1191), (166, 2829)]$ |
489762.k1 |
489762k1 |
489762.k |
489762k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{7} \cdot 7 \cdot 13^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.830306813$ |
$1$ |
|
$4$ |
$9345024$ |
$2.216473$ |
$7406396257/3956736$ |
$0.86613$ |
$3.80386$ |
$[1, -1, 0, -341496, -21207744]$ |
\(y^2+xy=x^3-x^2-341496x-21207744\) |
3864.2.0.? |
$[(-549, 1035)]$ |
489762.l1 |
489762l1 |
489762.l |
489762l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{11} \cdot 7^{2} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7587840$ |
$2.148136$ |
$-7406396257/1095444$ |
$0.83059$ |
$3.82123$ |
$[1, -1, 0, -341496, -85984092]$ |
\(y^2+xy=x^3-x^2-341496x-85984092\) |
276.2.0.? |
$[]$ |
489762.m1 |
489762m1 |
489762.m |
489762m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 13^{9} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$16.84460300$ |
$1$ |
|
$13$ |
$11261952$ |
$2.325787$ |
$1703492778807/2384732$ |
$0.89520$ |
$4.16314$ |
$[1, -1, 0, -1639923, -806931839]$ |
\(y^2+xy=x^3-x^2-1639923x-806931839\) |
2.3.0.a.1, 1288.6.0.?, 1794.6.0.?, 2184.6.0.?, 50232.12.0.? |
$[(-760, 401), (-732, 1297)]$ |
489762.m2 |
489762m2 |
489762.m |
489762m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{3} \cdot 7 \cdot 13^{9} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$67.37841201$ |
$1$ |
|
$6$ |
$22523904$ |
$2.672359$ |
$-632291491287/2072502446$ |
$0.92369$ |
$4.23226$ |
$[1, -1, 0, -1178553, -1270977785]$ |
\(y^2+xy=x^3-x^2-1178553x-1270977785\) |
2.3.0.a.1, 1288.6.0.?, 2184.6.0.?, 3588.6.0.?, 50232.12.0.? |
$[(1437, 401), (5859, 436303)]$ |
489762.n1 |
489762n2 |
489762.n |
489762n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2 \cdot 3^{6} \cdot 7^{6} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$1.984787$ |
$1494447319737/5411854$ |
$1.04645$ |
$3.81739$ |
$[1, -1, 0, -362283, -83577025]$ |
\(y^2+xy=x^3-x^2-362283x-83577025\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
489762.n2 |
489762n1 |
489762.n |
489762n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{3} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$1.638214$ |
$-60698457/725788$ |
$0.93405$ |
$3.28037$ |
$[1, -1, 0, -12453, -2486431]$ |
\(y^2+xy=x^3-x^2-12453x-2486431\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
489762.o1 |
489762o2 |
489762.o |
489762o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{9} \cdot 7^{2} \cdot 13^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$6.197773924$ |
$1$ |
|
$2$ |
$16533504$ |
$2.543430$ |
$6719171103/207368$ |
$0.87710$ |
$4.24375$ |
$[1, -1, 0, -2331978, 1334209436]$ |
\(y^2+xy=x^3-x^2-2331978x+1334209436\) |
2.3.0.a.1, 312.6.0.?, 1288.6.0.?, 25116.6.0.?, 50232.12.0.? |
$[(-1315, 46761)]$ |
489762.o2 |
489762o1 |
489762.o |
489762o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7 \cdot 13^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$12.39554784$ |
$1$ |
|
$1$ |
$8266752$ |
$2.196857$ |
$35937/10304$ |
$0.99656$ |
$3.79074$ |
$[1, -1, 0, 40782, 70477460]$ |
\(y^2+xy=x^3-x^2+40782x+70477460\) |
2.3.0.a.1, 312.6.0.?, 1288.6.0.?, 12558.6.0.?, 50232.12.0.? |
$[(-92659/19, 45884134/19)]$ |
489762.p1 |
489762p1 |
489762.p |
489762p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{3} \cdot 13^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10321920$ |
$2.352974$ |
$5202195898618823/112114092318816$ |
$0.98200$ |
$3.93077$ |
$[1, -1, 0, 179622, 176349460]$ |
\(y^2+xy=x^3-x^2+179622x+176349460\) |
3864.2.0.? |
$[]$ |
489762.q1 |
489762q2 |
489762.q |
489762q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{11} \cdot 7^{4} \cdot 13^{7} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3588$ |
$12$ |
$0$ |
$3.186676756$ |
$1$ |
|
$4$ |
$144506880$ |
$3.545864$ |
$18371176467862382137/4491266165663004$ |
$0.96161$ |
$5.06337$ |
$[1, -1, 0, -83611683, 223657701385]$ |
\(y^2+xy=x^3-x^2-83611683x+223657701385\) |
2.3.0.a.1, 92.6.0.?, 156.6.0.?, 3588.12.0.? |
$[(9477, 526642)]$ |
489762.q2 |
489762q1 |
489762.q |
489762q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{16} \cdot 7^{2} \cdot 13^{8} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3588$ |
$12$ |
$0$ |
$1.593338378$ |
$1$ |
|
$7$ |
$72253440$ |
$3.199291$ |
$61166244013918343/95191642950768$ |
$0.94586$ |
$4.66795$ |
$[1, -1, 0, 12485097, 22065876301]$ |
\(y^2+xy=x^3-x^2+12485097x+22065876301\) |
2.3.0.a.1, 46.6.0.a.1, 156.6.0.?, 3588.12.0.? |
$[(689, 175709)]$ |
489762.r1 |
489762r4 |
489762.r |
489762r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{2} \cdot 13^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$6.961957438$ |
$1$ |
|
$2$ |
$222953472$ |
$3.733932$ |
$10311027240444450437737/676744245358272$ |
$0.98084$ |
$5.54653$ |
$[1, -1, 0, -689692158, -6971009505836]$ |
\(y^2+xy=x^3-x^2-689692158x-6971009505836\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.1, 156.24.0.?, $\ldots$ |
$[(163251, 64966052)]$ |
489762.r2 |
489762r2 |
489762.r |
489762r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{4} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3588$ |
$48$ |
$0$ |
$3.480978719$ |
$1$ |
|
$8$ |
$111476736$ |
$3.387360$ |
$3011893562835369577/640946843357184$ |
$0.98820$ |
$4.92536$ |
$[1, -1, 0, -45761598, -94732627820]$ |
\(y^2+xy=x^3-x^2-45761598x-94732627820\) |
2.6.0.a.1, 12.12.0.a.1, 52.12.0-2.a.1.1, 92.12.0.?, 156.24.0.?, $\ldots$ |
$[(8460, 347290)]$ |
489762.r3 |
489762r1 |
489762.r |
489762r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{24} \cdot 3^{9} \cdot 7^{2} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$1.740489359$ |
$1$ |
|
$7$ |
$55738368$ |
$3.040783$ |
$98044243279969897/6636680773632$ |
$0.93199$ |
$4.66395$ |
$[1, -1, 0, -14611518, 20204937364]$ |
\(y^2+xy=x^3-x^2-14611518x+20204937364\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.2, 184.12.0.?, $\ldots$ |
$[(2675, 14633)]$ |
489762.r4 |
489762r3 |
489762.r |
489762r |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{18} \cdot 7^{8} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$1.740489359$ |
$1$ |
|
$6$ |
$222953472$ |
$3.733932$ |
$31210858401683537303/58626037175299776$ |
$1.00932$ |
$5.16558$ |
$[1, -1, 0, 99767682, -574833722540]$ |
\(y^2+xy=x^3-x^2+99767682x-574833722540\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(26036, 4422218)]$ |
489762.s1 |
489762s1 |
489762.s |
489762s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 13^{3} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$1.507547922$ |
$1$ |
|
$19$ |
$2598912$ |
$1.592617$ |
$1703492778807/2384732$ |
$0.89520$ |
$3.49162$ |
$[1, -1, 0, -87333, 9943649]$ |
\(y^2+xy=x^3-x^2-87333x+9943649\) |
2.3.0.a.1, 1288.6.0.?, 1794.6.0.?, 2184.6.0.?, 50232.12.0.? |
$[(179, 60), (110, 1233)]$ |
489762.s2 |
489762s2 |
489762.s |
489762s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{9} \cdot 7 \cdot 13^{3} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$6.030191690$ |
$1$ |
|
$6$ |
$5197824$ |
$1.939192$ |
$-632291491287/2072502446$ |
$0.92369$ |
$3.56074$ |
$[1, -1, 0, -62763, 15638975]$ |
\(y^2+xy=x^3-x^2-62763x+15638975\) |
2.3.0.a.1, 1288.6.0.?, 2184.6.0.?, 3588.6.0.?, 50232.12.0.? |
$[(-199, 4596), (791/2, 25659/2)]$ |
489762.t1 |
489762t1 |
489762.t |
489762t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{5} \cdot 13^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41932800$ |
$3.020763$ |
$-54668186185873/58893341472$ |
$0.92147$ |
$4.56392$ |
$[1, -1, 0, -6649083, -11161612539]$ |
\(y^2+xy=x^3-x^2-6649083x-11161612539\) |
1288.2.0.? |
$[]$ |
489762.u1 |
489762u1 |
489762.u |
489762u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{7} \cdot 7 \cdot 13^{4} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$5.011549292$ |
$1$ |
|
$2$ |
$4193280$ |
$1.878664$ |
$-585333645793/2093113344$ |
$0.92885$ |
$3.50475$ |
$[1, -1, 0, -47943, 10838205]$ |
\(y^2+xy=x^3-x^2-47943x+10838205\) |
3864.2.0.? |
$[(-279, 1701)]$ |
489762.v1 |
489762v2 |
489762.v |
489762v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{14} \cdot 7^{6} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33177600$ |
$2.814117$ |
$4144806984356137/568114785504$ |
$0.97971$ |
$4.42249$ |
$[1, -1, 0, -5090058, -3860056940]$ |
\(y^2+xy=x^3-x^2-5090058x-3860056940\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
489762.v2 |
489762v1 |
489762.v |
489762v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{3} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16588800$ |
$2.467545$ |
$4101378352343/15049939968$ |
$0.96793$ |
$4.02232$ |
$[1, -1, 0, 507222, -321456524]$ |
\(y^2+xy=x^3-x^2+507222x-321456524\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
489762.w1 |
489762w2 |
489762.w |
489762w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{2} \cdot 13^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$1.461065519$ |
$1$ |
|
$6$ |
$423936$ |
$0.711649$ |
$6719171103/207368$ |
$0.87710$ |
$2.56600$ |
$[1, -1, 0, -1533, -22099]$ |
\(y^2+xy=x^3-x^2-1533x-22099\) |
2.3.0.a.1, 312.6.0.?, 1288.6.0.?, 25116.6.0.?, 50232.12.0.? |
$[(-25, 1)]$ |
489762.w2 |
489762w1 |
489762.w |
489762w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$2.922131038$ |
$1$ |
|
$5$ |
$211968$ |
$0.365076$ |
$35937/10304$ |
$0.99656$ |
$2.11299$ |
$[1, -1, 0, 27, -1195]$ |
\(y^2+xy=x^3-x^2+27x-1195\) |
2.3.0.a.1, 312.6.0.?, 1288.6.0.?, 12558.6.0.?, 50232.12.0.? |
$[(11, 13)]$ |
489762.x1 |
489762x1 |
489762.x |
489762x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 7 \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7188480$ |
$1.966982$ |
$-13836319393/11592$ |
$0.83273$ |
$3.85167$ |
$[1, -1, 0, -420588, -104957384]$ |
\(y^2+xy=x^3-x^2-420588x-104957384\) |
1288.2.0.? |
$[]$ |
489762.y1 |
489762y1 |
489762.y |
489762y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{13} \cdot 7^{10} \cdot 13^{7} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$812851200$ |
$4.369720$ |
$41200233490632422261295577/390855326548597092$ |
$1.00669$ |
$6.17950$ |
$[1, -1, 0, -10944296973, -440680325035599]$ |
\(y^2+xy=x^3-x^2-10944296973x-440680325035599\) |
2.3.0.a.1, 56.6.0.c.1, 1794.6.0.?, 50232.12.0.? |
$[]$ |
489762.y2 |
489762y2 |
489762.y |
489762y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{20} \cdot 7^{5} \cdot 13^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$50232$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1625702400$ |
$4.716293$ |
$-38380105394519107097435257/4022272433212893301806$ |
$1.00791$ |
$6.18680$ |
$[1, -1, 0, -10688662503, -462246109066845]$ |
\(y^2+xy=x^3-x^2-10688662503x-462246109066845\) |
2.3.0.a.1, 56.6.0.b.1, 3588.6.0.?, 50232.12.0.? |
$[]$ |
489762.z1 |
489762z1 |
489762.z |
489762z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{14} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1230028800$ |
$4.692574$ |
$-3496594517361034456836001/970390721063183616$ |
$1.01502$ |
$6.38282$ |
$[1, -1, 0, -26590834620, -1669354023751088]$ |
\(y^2+xy=x^3-x^2-26590834620x-1669354023751088\) |
276.2.0.? |
$[]$ |
489762.ba1 |
489762ba1 |
489762.ba |
489762ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7 \cdot 13^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9659520$ |
$2.365105$ |
$-3326427/5152$ |
$0.81653$ |
$3.95799$ |
$[1, -1, 0, -433770, 210944852]$ |
\(y^2+xy=x^3-x^2-433770x+210944852\) |
3864.2.0.? |
$[]$ |
489762.bb1 |
489762bb1 |
489762.bb |
489762bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{11} \cdot 7 \cdot 13^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$1.480242$ |
$243202777441/5007744$ |
$0.88698$ |
$3.28726$ |
$[1, -1, 0, -35775, 2566669]$ |
\(y^2+xy=x^3-x^2-35775x+2566669\) |
3864.2.0.? |
$[]$ |
489762.bc1 |
489762bc1 |
489762.bc |
489762bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{9} \cdot 3^{23} \cdot 7 \cdot 13^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$12.03957137$ |
$1$ |
|
$0$ |
$7520256$ |
$2.184921$ |
$40024541162402329/10645281916416$ |
$0.95256$ |
$3.81248$ |
$[1, -1, 0, -354600, 59835712]$ |
\(y^2+xy=x^3-x^2-354600x+59835712\) |
3864.2.0.? |
$[(-205339/25, 187967084/25)]$ |
489762.bd1 |
489762bd1 |
489762.bd |
489762bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2 \cdot 3^{7} \cdot 7 \cdot 13^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$1.512339$ |
$-28561/966$ |
$0.86360$ |
$3.16418$ |
$[1, -1, 0, -5355, 1164307]$ |
\(y^2+xy=x^3-x^2-5355x+1164307\) |
3864.2.0.? |
$[]$ |
489762.be1 |
489762be1 |
489762.be |
489762be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{36} \cdot 3^{15} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$125411328$ |
$3.579575$ |
$1294412885063448427199/1524386354090213376$ |
$1.02212$ |
$4.99923$ |
$[1, -1, 0, 62462115, 193290163717]$ |
\(y^2+xy=x^3-x^2+62462115x+193290163717\) |
276.2.0.? |
$[]$ |
489762.bf1 |
489762bf1 |
489762.bf |
489762bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7 \cdot 13^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$247680$ |
$0.533324$ |
$-3326427/5152$ |
$0.81653$ |
$2.28024$ |
$[1, -1, 0, -285, -3483]$ |
\(y^2+xy=x^3-x^2-285x-3483\) |
3864.2.0.? |
$[]$ |