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 |
480240.a1 |
480240a1 |
480240.a |
480240a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.057734284$ |
$1$ |
|
$7$ |
$3686400$ |
$1.876955$ |
$4232738799154081/64832400$ |
$[0, 0, 0, -485283, 130117282]$ |
\(y^2=x^3-485283x+130117282\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(407, 162)]$ |
480240.a2 |
480240a2 |
480240.a |
480240a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{14} \cdot 3^{16} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$2.115468568$ |
$1$ |
|
$5$ |
$7372800$ |
$2.223530$ |
$-3867009783331681/525405011220$ |
$[0, 0, 0, -470883, 138201442]$ |
\(y^2=x^3-470883x+138201442\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(-73, 13122)]$ |
480240.b1 |
480240b4 |
480240.b |
480240b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{4} \cdot 23^{2} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3480$ |
$48$ |
$0$ |
$5.149036974$ |
$1$ |
|
$13$ |
$17694720$ |
$2.698566$ |
$35004323670386133601/5612274735000$ |
$[0, 0, 0, -9813603, -11831251102]$ |
\(y^2=x^3-9813603x-11831251102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[(-1801, 1150), (-1823, 720)]$ |
480240.b2 |
480240b2 |
480240.b |
480240b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 23^{4} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3480$ |
$48$ |
$0$ |
$5.149036974$ |
$1$ |
|
$21$ |
$8847360$ |
$2.351994$ |
$11263676431085281/3388986446400$ |
$[0, 0, 0, -672483, -147071518]$ |
\(y^2=x^3-672483x-147071518\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 580.12.0.?, $\ldots$ |
$[(-559, 7360), (31342, 5546772)]$ |
480240.b3 |
480240b1 |
480240.b |
480240b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{24} \cdot 3^{10} \cdot 5 \cdot 23^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3480$ |
$48$ |
$0$ |
$5.149036974$ |
$1$ |
|
$15$ |
$4423680$ |
$2.005421$ |
$634304757684961/25448878080$ |
$[0, 0, 0, -257763, 48593378]$ |
\(y^2=x^3-257763x+48593378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ |
$[(418, 3726), (487, 6210)]$ |
480240.b4 |
480240b3 |
480240.b |
480240b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5 \cdot 23^{8} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3480$ |
$48$ |
$0$ |
$20.59614789$ |
$1$ |
|
$5$ |
$17694720$ |
$2.698566$ |
$228142812345052319/272522228777880$ |
$[0, 0, 0, 1833117, -985445278]$ |
\(y^2=x^3+1833117x-985445278\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 1160.24.0.?, $\ldots$ |
$[(1007, 43378), (438761/28, 322424971/28)]$ |
480240.c1 |
480240c1 |
480240.c |
480240c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$3.598693578$ |
$1$ |
|
$3$ |
$909312$ |
$1.139074$ |
$54108072016/31265625$ |
$[0, 0, 0, -4503, 4502]$ |
\(y^2=x^3-4503x+4502\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(82, 432)]$ |
480240.c2 |
480240c2 |
480240.c |
480240c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.799346789$ |
$1$ |
|
$5$ |
$1818624$ |
$1.485647$ |
$863568071996/500500125$ |
$[0, 0, 0, 17997, 36002]$ |
\(y^2=x^3+17997x+36002\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(67, 1242)]$ |
480240.d1 |
480240d1 |
480240.d |
480240d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{5} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$902400$ |
$1.122015$ |
$14177905922/2084375$ |
$[0, 0, 0, -5763, -145438]$ |
\(y^2=x^3-5763x-145438\) |
26680.2.0.? |
$[]$ |
480240.e1 |
480240e1 |
480240.e |
480240e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2661120$ |
$1.696699$ |
$3596344921161/1411372000$ |
$[0, 0, 0, -45963, 2151738]$ |
\(y^2=x^3-45963x+2151738\) |
26680.2.0.? |
$[]$ |
480240.f1 |
480240f2 |
480240.f |
480240f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$11.05238751$ |
$1$ |
|
$1$ |
$33816576$ |
$2.770679$ |
$157264717208387436361/4368589453125$ |
$[0, 0, 0, -16193163, -25080444038]$ |
\(y^2=x^3-16193163x-25080444038\) |
2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.? |
$[(2130151/21, 897883750/21)]$ |
480240.f2 |
480240f1 |
480240.f |
480240f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{4} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$5.526193757$ |
$1$ |
|
$1$ |
$16908288$ |
$2.424107$ |
$-33974761330806841/6424789539375$ |
$[0, 0, 0, -971643, -424625942]$ |
\(y^2=x^3-971643x-424625942\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(21781/3, 2882600/3)]$ |
480240.g1 |
480240g1 |
480240.g |
480240g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 23^{3} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$5.861478688$ |
$1$ |
|
$0$ |
$4224000$ |
$2.043823$ |
$4881227845154890752/1247795749415$ |
$[0, 0, 0, -673188, 212547852]$ |
\(y^2=x^3-673188x+212547852\) |
20010.2.0.? |
$[(1833/2, 4299/2)]$ |
480240.h1 |
480240h1 |
480240.h |
480240h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$3.709519698$ |
$1$ |
|
$2$ |
$380160$ |
$0.781685$ |
$47045881/26680$ |
$[0, 0, 0, -1083, -1942]$ |
\(y^2=x^3-1083x-1942\) |
26680.2.0.? |
$[(-22, 106)]$ |
480240.i1 |
480240i1 |
480240.i |
480240i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$2.104323151$ |
$1$ |
|
$7$ |
$737280$ |
$1.135048$ |
$130323843/66700$ |
$[0, 0, 0, -4563, 40338]$ |
\(y^2=x^3-4563x+40338\) |
2.3.0.a.1, 120.6.0.?, 4002.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[(63, 54)]$ |
480240.i2 |
480240i2 |
480240.i |
480240i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$4.208646302$ |
$1$ |
|
$5$ |
$1474560$ |
$1.481621$ |
$6783468957/4448890$ |
$[0, 0, 0, 17037, 312498]$ |
\(y^2=x^3+17037x+312498\) |
2.3.0.a.1, 120.6.0.?, 8004.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[(-17, 134)]$ |
480240.j1 |
480240j2 |
480240.j |
480240j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{33} \cdot 3^{6} \cdot 5 \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$80040$ |
$16$ |
$0$ |
$20.55959595$ |
$1$ |
|
$0$ |
$10886400$ |
$2.473774$ |
$381710801681656201/3699827015680$ |
$[0, 0, 0, -2176203, -1225263238]$ |
\(y^2=x^3-2176203x-1225263238\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 26680.2.0.?, 80040.16.0.? |
$[(-1242161527/1222, 5591883439501/1222)]$ |
480240.j2 |
480240j1 |
480240.j |
480240j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 23 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$80040$ |
$16$ |
$0$ |
$6.853198650$ |
$1$ |
|
$0$ |
$3628800$ |
$1.924469$ |
$264621653112601/8975152000$ |
$[0, 0, 0, -192603, 31566602]$ |
\(y^2=x^3-192603x+31566602\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 26680.2.0.?, 80040.16.0.? |
$[(833/2, 5591/2)]$ |
480240.k1 |
480240k2 |
480240.k |
480240k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{21} \cdot 3^{15} \cdot 5^{2} \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1.429229556$ |
$1$ |
|
$9$ |
$477757440$ |
$4.429314$ |
$17994349231347071868080812561/16592810223148303910400$ |
$[0, 0, 0, -7861401363, 268072205610962]$ |
\(y^2=x^3-7861401363x+268072205610962\) |
2.3.0.a.1, 24.6.0.a.1, 580.6.0.?, 3480.12.0.? |
$[(49721, 338560)]$ |
480240.k2 |
480240k1 |
480240.k |
480240k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{30} \cdot 3^{24} \cdot 5 \cdot 23^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$2.858459113$ |
$4$ |
$2$ |
$7$ |
$238878720$ |
$4.082741$ |
$8220403366280885623591441/4120992775936699269120$ |
$[0, 0, 0, -605460243, 2096976728018]$ |
\(y^2=x^3-605460243x+2096976728018\) |
2.3.0.a.1, 24.6.0.d.1, 290.6.0.?, 3480.12.0.? |
$[(-22087, 2166784)]$ |
480240.l1 |
480240l2 |
480240.l |
480240l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.091457$ |
$73519511861296467/1390278125000$ |
$[0, 0, 0, -418923, 102644378]$ |
\(y^2=x^3-418923x+102644378\) |
2.3.0.a.1, 24.6.0.a.1, 5336.6.0.?, 8004.6.0.?, 16008.12.0.? |
$[]$ |
480240.l2 |
480240l1 |
480240.l |
480240l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$1.744884$ |
$72513278012259027/26680000$ |
$[0, 0, 0, -417003, 103647002]$ |
\(y^2=x^3-417003x+103647002\) |
2.3.0.a.1, 24.6.0.d.1, 4002.6.0.?, 5336.6.0.?, 16008.12.0.? |
$[]$ |
480240.m1 |
480240m2 |
480240.m |
480240m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.115665$ |
$15376949322363/8897780000$ |
$[0, 0, 0, -223803, 413802]$ |
\(y^2=x^3-223803x+413802\) |
2.3.0.a.1, 24.6.0.a.1, 5336.6.0.?, 8004.6.0.?, 16008.12.0.? |
$[]$ |
480240.m2 |
480240m1 |
480240.m |
480240m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.769091$ |
$5076918958203/17075200$ |
$[0, 0, 0, -154683, 23347818]$ |
\(y^2=x^3-154683x+23347818\) |
2.3.0.a.1, 24.6.0.d.1, 4002.6.0.?, 5336.6.0.?, 16008.12.0.? |
$[]$ |
480240.n1 |
480240n2 |
480240.n |
480240n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 23^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$5.012541391$ |
$1$ |
|
$11$ |
$1048576$ |
$1.426424$ |
$2355836376962/28764375$ |
$[0, 0, 0, -31683, 2147618]$ |
\(y^2=x^3-31683x+2147618\) |
2.3.0.a.1, 92.6.0.?, 696.6.0.?, 16008.12.0.? |
$[(119, 250), (71, 506)]$ |
480240.n2 |
480240n1 |
480240.n |
480240n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 23 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1.253135347$ |
$1$ |
|
$25$ |
$524288$ |
$1.079851$ |
$-7086244/4352175$ |
$[0, 0, 0, -363, 86762]$ |
\(y^2=x^3-363x+86762\) |
2.3.0.a.1, 46.6.0.a.1, 696.6.0.?, 16008.12.0.? |
$[(11, 290), (-29, 270)]$ |
480240.o1 |
480240o1 |
480240.o |
480240o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$0.860238360$ |
$1$ |
|
$7$ |
$2101248$ |
$1.817148$ |
$174223500965896428/5513171875$ |
$[0, 0, 0, -351843, 80326642]$ |
\(y^2=x^3-351843x+80326642\) |
2.3.0.a.1, 120.6.0.?, 4002.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[(347, 138)]$ |
480240.o2 |
480240o2 |
480240.o |
480240o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 23^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$1.720476720$ |
$1$ |
|
$5$ |
$4202496$ |
$2.163723$ |
$-76438573834538214/15562272831125$ |
$[0, 0, 0, -336843, 87487642]$ |
\(y^2=x^3-336843x+87487642\) |
2.3.0.a.1, 120.6.0.?, 8004.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[(-153, 11638)]$ |
480240.p1 |
480240p2 |
480240.p |
480240p |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$3.630570295$ |
$1$ |
|
$5$ |
$8257536$ |
$2.293312$ |
$57745651218098761/323599218750$ |
$[0, 0, 0, -1159563, -478273862]$ |
\(y^2=x^3-1159563x-478273862\) |
2.3.0.a.1, 92.6.0.?, 696.6.0.?, 16008.12.0.? |
$[(-609, 1426)]$ |
480240.p2 |
480240p1 |
480240.p |
480240p |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16008$ |
$12$ |
$0$ |
$1.815285147$ |
$1$ |
|
$7$ |
$4128768$ |
$1.946737$ |
$-1218528651241/35252617500$ |
$[0, 0, 0, -32043, -15765158]$ |
\(y^2=x^3-32043x-15765158\) |
2.3.0.a.1, 46.6.0.a.1, 696.6.0.?, 16008.12.0.? |
$[(341, 3600)]$ |
480240.q1 |
480240q1 |
480240.q |
480240q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$80040$ |
$2$ |
$0$ |
$1.912671955$ |
$1$ |
|
$2$ |
$270336$ |
$0.749757$ |
$-1771561/20010$ |
$[0, 0, 0, -363, 12058]$ |
\(y^2=x^3-363x+12058\) |
80040.2.0.? |
$[(23, 126)]$ |
480240.r1 |
480240r3 |
480240.r |
480240r |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 23 \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$80040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11943936$ |
$2.634418$ |
$161831402617566123/560947000000$ |
$[0, 0, 0, -4904523, 4168105722]$ |
\(y^2=x^3-4904523x+4168105722\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 120.48.0.?, $\ldots$ |
$[]$ |
480240.r2 |
480240r4 |
480240.r |
480240r |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 23^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$80040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.980991$ |
$-28357836595086123/314661536809000$ |
$[0, 0, 0, -2744523, 7860409722]$ |
\(y^2=x^3-2744523x+7860409722\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 120.48.0.?, $\ldots$ |
$[]$ |
480240.r3 |
480240r1 |
480240.r |
480240r |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$80040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.085114$ |
$30337173067302387/2312391884800$ |
$[0, 0, 0, -311883, -62469382]$ |
\(y^2=x^3-311883x-62469382\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 120.48.0.?, $\ldots$ |
$[]$ |
480240.r4 |
480240r2 |
480240.r |
480240r |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5 \cdot 23^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$80040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.431686$ |
$27685307706022413/318715347581440$ |
$[0, 0, 0, 302517, -278369542]$ |
\(y^2=x^3+302517x-278369542\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 120.48.0.?, $\ldots$ |
$[]$ |
480240.s1 |
480240s1 |
480240.s |
480240s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{49} \cdot 3^{11} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$80040$ |
$2$ |
$0$ |
$71.76016582$ |
$1$ |
|
$0$ |
$2768855040$ |
$5.205284$ |
$-145630437548197559578324883173793161/111381215088476160$ |
$[0, 0, 0, -1578357237963, 763231125015739258]$ |
\(y^2=x^3-1578357237963x+763231125015739258\) |
80040.2.0.? |
$[(42831937153659031369959245467748063/242997078131069, 833864866273102680282658174970372227835269144614/242997078131069)]$ |
480240.t1 |
480240t2 |
480240.t |
480240t |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 23^{3} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3151872$ |
$1.820200$ |
$-1265319018496/7418524075$ |
$[0, 0, 0, -32448, -7505872]$ |
\(y^2=x^3-32448x-7505872\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 1334.2.0.?, 4002.8.0.?, 8004.16.0.? |
$[]$ |
480240.t2 |
480240t1 |
480240.t |
480240t |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1050624$ |
$1.270895$ |
$1659797504/10421875$ |
$[0, 0, 0, 3552, 255728]$ |
\(y^2=x^3+3552x+255728\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 1334.2.0.?, 4002.8.0.?, 8004.16.0.? |
$[]$ |
480240.u1 |
480240u1 |
480240.u |
480240u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$577536$ |
$1.009581$ |
$985967532/16675$ |
$[0, 0, 0, -5643, -160758]$ |
\(y^2=x^3-5643x-160758\) |
2.3.0.a.1, 120.6.0.?, 4002.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[]$ |
480240.u2 |
480240u2 |
480240.u |
480240u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$80040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1155072$ |
$1.356153$ |
$-39366/2224445$ |
$[0, 0, 0, -243, -455598]$ |
\(y^2=x^3-243x-455598\) |
2.3.0.a.1, 120.6.0.?, 8004.6.0.?, 26680.6.0.?, 80040.12.0.? |
$[]$ |
480240.v1 |
480240v2 |
480240.v |
480240v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 23^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.928798162$ |
$1$ |
|
$7$ |
$18874368$ |
$2.750755$ |
$963262299440242801/466868184933750$ |
$[0, 0, 0, -2962803, -791237198]$ |
\(y^2=x^3-2962803x-791237198\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(-849, 33350)]$ |
480240.v2 |
480240v1 |
480240.v |
480240v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 23^{3} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.464399081$ |
$1$ |
|
$13$ |
$9437184$ |
$2.404182$ |
$11155189107953519/7744939134300$ |
$[0, 0, 0, 670317, -94404782]$ |
\(y^2=x^3+670317x-94404782\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(311, 12006)]$ |
480240.w1 |
480240w1 |
480240.w |
480240w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 23^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$5.609787327$ |
$1$ |
|
$8$ |
$1327104$ |
$1.483694$ |
$2667812225024/1984741875$ |
$[0, 0, 0, 16512, 436412]$ |
\(y^2=x^3+16512x+436412\) |
1334.2.0.? |
$[(-14, 450), (661, 17325)]$ |
480240.x1 |
480240x2 |
480240.x |
480240x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{6} \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28016640$ |
$2.793922$ |
$7326263255876346601/353019421500000$ |
$[0, 0, 0, -5826603, -5183144102]$ |
\(y^2=x^3-5826603x-5183144102\) |
2.3.0.a.1, 24.6.0.a.1, 580.6.0.?, 3480.12.0.? |
$[]$ |
480240.x2 |
480240x1 |
480240.x |
480240x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{3} \cdot 23^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14008320$ |
$2.447350$ |
$7068613385194370281/17672832000$ |
$[0, 0, 0, -5757483, -5317361318]$ |
\(y^2=x^3-5757483x-5317361318\) |
2.3.0.a.1, 24.6.0.d.1, 290.6.0.?, 3480.12.0.? |
$[]$ |
480240.y1 |
480240y2 |
480240.y |
480240y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$2.571746653$ |
$1$ |
|
$3$ |
$10321920$ |
$2.426041$ |
$90724336824565442/12867557913675$ |
$[0, 0, 0, -1069923, 370105922]$ |
\(y^2=x^3-1069923x+370105922\) |
2.3.0.a.1, 24.6.0.a.1, 580.6.0.?, 3480.12.0.? |
$[(-626, 28188)]$ |
480240.y2 |
480240y1 |
480240.y |
480240y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{10} \cdot 3^{20} \cdot 5 \cdot 23^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$5.143493306$ |
$1$ |
|
$3$ |
$5160960$ |
$2.079464$ |
$3343694036810404/366877637145$ |
$[0, 0, 0, -282603, -52055062]$ |
\(y^2=x^3-282603x-52055062\) |
2.3.0.a.1, 24.6.0.d.1, 290.6.0.?, 3480.12.0.? |
$[(1153, 33984)]$ |
480240.z1 |
480240z1 |
480240.z |
480240z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$2.097487229$ |
$1$ |
|
$2$ |
$294912$ |
$0.735534$ |
$2750073856/90045$ |
$[0, 0, 0, -1668, 25468]$ |
\(y^2=x^3-1668x+25468\) |
20010.2.0.? |
$[(17, 45)]$ |
480240.ba1 |
480240ba1 |
480240.ba |
480240ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 23 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$3.918621639$ |
$1$ |
|
$8$ |
$198144$ |
$0.652351$ |
$5971968/3335$ |
$[0, 0, 0, -648, -1188]$ |
\(y^2=x^3-648x-1188\) |
20010.2.0.? |
$[(-3, 27), (-2, 10)]$ |
480240.bb1 |
480240bb1 |
480240.bb |
480240bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 23^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$4.557385528$ |
$1$ |
|
$2$ |
$3870720$ |
$2.030109$ |
$245973316796416/69995230125$ |
$[0, 0, 0, -187968, 22362608]$ |
\(y^2=x^3-187968x+22362608\) |
20010.2.0.? |
$[(121, 1179)]$ |