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 |
229320.a1 |
229320dp1 |
229320.a |
229320dp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$6.469670703$ |
$1$ |
|
$1$ |
$3538944$ |
$2.095478$ |
$565357377316/257985$ |
$[0, 0, 0, -765723, -257800858]$ |
\(y^2=x^3-765723x-257800858\) |
2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? |
$[(27769/4, 3861837/4)]$ |
229320.a2 |
229320dp2 |
229320.a |
229320dp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{14} \cdot 5^{2} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$3.234835351$ |
$1$ |
|
$3$ |
$7077888$ |
$2.442051$ |
$-166792350818/194041575$ |
$[0, 0, 0, -642243, -343718242]$ |
\(y^2=x^3-642243x-343718242\) |
2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.? |
$[(1414, 39690)]$ |
229320.b1 |
229320z1 |
229320.b |
229320z |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1.876239465$ |
$1$ |
|
$7$ |
$2654208$ |
$1.991049$ |
$46689225424/3901625$ |
$[0, 0, 0, -210063, 34277362]$ |
\(y^2=x^3-210063x+34277362\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(329, 882)]$ |
229320.b2 |
229320z2 |
229320.b |
229320z |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$3.752478931$ |
$1$ |
|
$5$ |
$5308416$ |
$2.337624$ |
$13799183324/129390625$ |
$[0, 0, 0, 222117, 157102918]$ |
\(y^2=x^3+222117x+157102918\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(-357, 5684)]$ |
229320.c1 |
229320cs1 |
229320.c |
229320cs |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$467712$ |
$1.104212$ |
$-387072/1625$ |
$[0, 0, 0, -2058, -103243]$ |
\(y^2=x^3-2058x-103243\) |
390.2.0.? |
$[]$ |
229320.d1 |
229320cj1 |
229320.d |
229320cj |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211200$ |
$0.745854$ |
$-27648/65$ |
$[0, 0, 0, -588, -12348]$ |
\(y^2=x^3-588x-12348\) |
390.2.0.? |
$[]$ |
229320.e1 |
229320ba1 |
229320.e |
229320ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.041927938$ |
$1$ |
|
$2$ |
$17971200$ |
$2.949268$ |
$-693346671296498/40610171875$ |
$[0, 0, 0, -10326603, 13403543398]$ |
\(y^2=x^3-10326603x+13403543398\) |
728.2.0.? |
$[(-2226, 159250)]$ |
229320.f1 |
229320bb1 |
229320.f |
229320bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.155551576$ |
$1$ |
|
$2$ |
$359424$ |
$1.031208$ |
$71997884/43875$ |
$[0, 0, 0, 2877, 13678]$ |
\(y^2=x^3+2877x+13678\) |
390.2.0.? |
$[(11, 216)]$ |
229320.g1 |
229320by1 |
229320.g |
229320by |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{13} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$634368$ |
$1.420099$ |
$-767228471296/142155$ |
$[0, 0, 0, -57918, -5365843]$ |
\(y^2=x^3-57918x-5365843\) |
390.2.0.? |
$[]$ |
229320.h1 |
229320bc1 |
229320.h |
229320bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$3.945867603$ |
$1$ |
|
$0$ |
$444416$ |
$1.109694$ |
$11090466/8125$ |
$[0, 0, 0, 3717, 44982]$ |
\(y^2=x^3+3717x+44982\) |
728.2.0.? |
$[(154/3, 9100/3)]$ |
229320.i1 |
229320bf4 |
229320.i |
229320bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$9.612035074$ |
$1$ |
|
$11$ |
$3538944$ |
$2.167580$ |
$490757540836/2142075$ |
$[0, 0, 0, -730443, -239377642]$ |
\(y^2=x^3-730443x-239377642\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(-469, 196), (3451, 195804)]$ |
229320.i2 |
229320bf2 |
229320.i |
229320bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$2.403008768$ |
$1$ |
|
$31$ |
$1769472$ |
$1.821009$ |
$1650587344/950625$ |
$[0, 0, 0, -68943, 482258]$ |
\(y^2=x^3-68943x+482258\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-91, 2450), (301, 2646)]$ |
229320.i3 |
229320bf1 |
229320.i |
229320bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.403008768$ |
$1$ |
|
$15$ |
$884736$ |
$1.474434$ |
$9538484224/26325$ |
$[0, 0, 0, -49098, 4177397]$ |
\(y^2=x^3-49098x+4177397\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(106, 405), (121, 90)]$ |
229320.i4 |
229320bf3 |
229320.i |
229320bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$9.612035074$ |
$1$ |
|
$9$ |
$3538944$ |
$2.167580$ |
$26198797244/15234375$ |
$[0, 0, 0, 275037, 3853262]$ |
\(y^2=x^3+275037x+3853262\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.1, 78.6.0.?, $\ldots$ |
$[(611, 20000), (67, 4752)]$ |
229320.j1 |
229320bg3 |
229320.j |
229320bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.389919$ |
$10625310339698/3855735$ |
$[0, 0, 0, -2565003, 1580679142]$ |
\(y^2=x^3-2565003x+1580679142\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
229320.j2 |
229320bg4 |
229320.j |
229320bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{18} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.389919$ |
$1481943889298/34543665$ |
$[0, 0, 0, -1330203, -578492138]$ |
\(y^2=x^3-1330203x-578492138\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
229320.j3 |
229320bg2 |
229320.j |
229320bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$2.043343$ |
$7793764996/3080025$ |
$[0, 0, 0, -183603, 17051902]$ |
\(y^2=x^3-183603x+17051902\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 120.12.0.?, 156.12.0.?, 520.12.0.?, $\ldots$ |
$[]$ |
229320.j4 |
229320bg1 |
229320.j |
229320bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.696772$ |
$253012016/219375$ |
$[0, 0, 0, 36897, 1925602]$ |
\(y^2=x^3+36897x+1925602\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 78.6.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
229320.k1 |
229320bh1 |
229320.k |
229320bh |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3096576$ |
$2.253960$ |
$14270199808/7921875$ |
$[0, 0, 0, -393078, 19143173]$ |
\(y^2=x^3-393078x+19143173\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
229320.k2 |
229320bh2 |
229320.k |
229320bh |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.600533$ |
$53247522512/32131125$ |
$[0, 0, 0, 1536297, 151498298]$ |
\(y^2=x^3+1536297x+151498298\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
229320.l1 |
229320ck2 |
229320.l |
229320ck |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{7} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$63995904$ |
$3.708946$ |
$1936101054887046531846/905403781953125$ |
$[0, 0, 0, -484725003, -4105969337498]$ |
\(y^2=x^3-484725003x-4105969337498\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
229320.l2 |
229320ck1 |
229320.l |
229320ck |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 7^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$31997952$ |
$3.362373$ |
$-553867390580563692/657061767578125$ |
$[0, 0, 0, -25350003, -85794962498]$ |
\(y^2=x^3-25350003x-85794962498\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
229320.m1 |
229320cl1 |
229320.m |
229320cl |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1725696$ |
$1.815117$ |
$1354752/10985$ |
$[0, 0, 0, 28812, -6790028]$ |
\(y^2=x^3+28812x-6790028\) |
390.2.0.? |
$[]$ |
229320.n1 |
229320dq3 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.430862$ |
$266912903848829942596/152163375$ |
$[0, 0, 0, -596239203, 5603751974702]$ |
\(y^2=x^3-596239203x+5603751974702\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, 40.12.0-4.c.1.3, $\ldots$ |
$[]$ |
229320.n2 |
229320dq2 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$3.084290$ |
$260798860029250384/196803140625$ |
$[0, 0, 0, -37271703, 87525304202]$ |
\(y^2=x^3-37271703x+87525304202\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 28.12.0-2.a.1.1, 60.24.0-60.a.1.8, $\ldots$ |
$[]$ |
229320.n3 |
229320dq4 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.430862$ |
$-32506165579682596/57814914850875$ |
$[0, 0, 0, -29554203, 124811633702]$ |
\(y^2=x^3-29554203x+124811633702\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
229320.n4 |
229320dq1 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.737717$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -2818578, 751663577]$ |
\(y^2=x^3-2818578x+751663577\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0-4.c.1.3, $\ldots$ |
$[]$ |
229320.o1 |
229320dr2 |
229320.o |
229320dr |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.509846041$ |
$1$ |
|
$19$ |
$3833856$ |
$2.289871$ |
$11151682683009628/40040325$ |
$[0, 0, 0, -2955603, 1955761598]$ |
\(y^2=x^3-2955603x+1955761598\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(959, 1820), (1414, 24570)]$ |
229320.o2 |
229320dr1 |
229320.o |
229320dr |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.509846041$ |
$1$ |
|
$17$ |
$1916928$ |
$1.943296$ |
$11367178023472/651619215$ |
$[0, 0, 0, -187383, 29634122]$ |
\(y^2=x^3-187383x+29634122\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(127, 2808), (179, 1352)]$ |
229320.p1 |
229320bd2 |
229320.p |
229320bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{28} \cdot 5^{6} \cdot 7^{9} \cdot 13^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$14.64079479$ |
$1$ |
|
$1$ |
$1173258240$ |
$5.168175$ |
$386965237776463086681532/182055746334444328125$ |
$[0, 0, 0, -47237404683, -1708949353064618]$ |
\(y^2=x^3-47237404683x-1708949353064618\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(-4658349/5, 3121007476/5)]$ |
229320.p2 |
229320bd1 |
229320.p |
229320bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{17} \cdot 5^{3} \cdot 7^{9} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$7.320397395$ |
$1$ |
|
$3$ |
$586629120$ |
$4.821602$ |
$211072197308055014773168/3052652281946850375$ |
$[0, 0, 0, -24313774863, 1440890341256338]$ |
\(y^2=x^3-24313774863x+1440890341256338\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(80997, 1711570)]$ |
229320.q1 |
229320be3 |
229320.q |
229320be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{12} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$8.833072394$ |
$1$ |
|
$1$ |
$70778880$ |
$3.608696$ |
$69014771940559650916/9797607421875$ |
$[0, 0, 0, -379849323, 2849127423478]$ |
\(y^2=x^3-379849323x+2849127423478\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 364.12.0.?, $\ldots$ |
$[(50177/2, 1929033/2)]$ |
229320.q2 |
229320be4 |
229320.q |
229320be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{18} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$8.833072394$ |
$4$ |
$2$ |
$3$ |
$70778880$ |
$3.608696$ |
$4678944235881273796/202428825314625$ |
$[0, 0, 0, -154886403, -713666478098]$ |
\(y^2=x^3-154886403x-713666478098\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 130.6.0.?, 260.12.0.?, $\ldots$ |
$[(-6186, 87998)]$ |
229320.q3 |
229320be2 |
229320.q |
229320be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$4.416536197$ |
$1$ |
|
$7$ |
$35389440$ |
$3.262123$ |
$87450143958975184/25164018140625$ |
$[0, 0, 0, -25893903, 35960536402]$ |
\(y^2=x^3-25893903x+35960536402\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 260.12.0.?, 364.12.0.?, $\ldots$ |
$[(-61, 193752)]$ |
229320.q4 |
229320be1 |
229320.q |
229320be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{14} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$2.208268098$ |
$1$ |
|
$3$ |
$17694720$ |
$2.915550$ |
$6364491337435136/8034291412875$ |
$[0, 0, 0, 4290342, 3717725893]$ |
\(y^2=x^3+4290342x+3717725893\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(6041, 500094)]$ |
229320.r1 |
229320ds4 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7864320$ |
$2.599434$ |
$841356017734178/1404585$ |
$[0, 0, 0, -11014563, -14070139202]$ |
\(y^2=x^3-11014563x-14070139202\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[]$ |
229320.r2 |
229320ds3 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.599434$ |
$3711757787138/1124589375$ |
$[0, 0, 0, -1806483, 645071182]$ |
\(y^2=x^3-1806483x+645071182\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.s.1, 168.24.0.?, $\ldots$ |
$[]$ |
229320.r3 |
229320ds2 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3932160$ |
$2.252861$ |
$423026849956/16769025$ |
$[0, 0, 0, -695163, -215312762]$ |
\(y^2=x^3-695163x-215312762\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 520.12.0.?, $\ldots$ |
$[]$ |
229320.r4 |
229320ds1 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.906288$ |
$35969456/2985255$ |
$[0, 0, 0, 19257, -12274598]$ |
\(y^2=x^3+19257x-12274598\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[]$ |
229320.s1 |
229320dt1 |
229320.s |
229320dt |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.179887577$ |
$1$ |
|
$2$ |
$69120$ |
$0.224839$ |
$14336/195$ |
$[0, 0, 0, 42, 497]$ |
\(y^2=x^3+42x+497\) |
390.2.0.? |
$[(4, 27)]$ |
229320.t1 |
229320ec1 |
229320.t |
229320ec |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{4} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3612672$ |
$2.413158$ |
$10149078716/5923125$ |
$[0, 0, 0, 733677, 22276478]$ |
\(y^2=x^3+733677x+22276478\) |
52.2.0.a.1 |
$[]$ |
229320.u1 |
229320ca1 |
229320.u |
229320ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{11} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$7.125660324$ |
$1$ |
|
$2$ |
$12063744$ |
$2.952648$ |
$-482370434896/17138671875$ |
$[0, 0, 0, -1674183, 6586139882]$ |
\(y^2=x^3-1674183x+6586139882\) |
390.2.0.? |
$[(113, 79990)]$ |
229320.v1 |
229320bi1 |
229320.v |
229320bi |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{3} \cdot 7^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.908610158$ |
$1$ |
|
$4$ |
$3110400$ |
$2.080566$ |
$-42717947152384/913520014875$ |
$[0, 0, 0, -60438, -35231987]$ |
\(y^2=x^3-60438x-35231987\) |
390.2.0.? |
$[(2486, 123201)]$ |
229320.w1 |
229320cm1 |
229320.w |
229320cm |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$919296$ |
$1.660652$ |
$1354752/1625$ |
$[0, 0, 0, 28812, -1949612]$ |
\(y^2=x^3+28812x-1949612\) |
390.2.0.? |
$[]$ |
229320.x1 |
229320bz1 |
229320.x |
229320bz |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{13} \cdot 5^{7} \cdot 7^{4} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10386432$ |
$2.758690$ |
$-7791602019623044/375378046875$ |
$[0, 0, 0, -5016963, 4501672238]$ |
\(y^2=x^3-5016963x+4501672238\) |
390.2.0.? |
$[]$ |
229320.y1 |
229320cp1 |
229320.y |
229320cp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.219683781$ |
$1$ |
|
$7$ |
$2064384$ |
$2.044758$ |
$397526095872/739375$ |
$[0, 0, 0, -510678, -140239323]$ |
\(y^2=x^3-510678x-140239323\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(-426, 27)]$ |
229320.y2 |
229320cp2 |
229320.y |
229320cp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.609841890$ |
$1$ |
|
$9$ |
$4128768$ |
$2.391331$ |
$-7680778992/34987225$ |
$[0, 0, 0, -345303, -232617798]$ |
\(y^2=x^3-345303x-232617798\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(2121, 92610)]$ |
229320.z1 |
229320du1 |
229320.z |
229320du |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{13} \cdot 5 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10920$ |
$12$ |
$0$ |
$9.383640865$ |
$1$ |
|
$1$ |
$14450688$ |
$3.014767$ |
$820221748268836/369468094905$ |
$[0, 0, 0, -8668443, -4624536602]$ |
\(y^2=x^3-8668443x-4624536602\) |
2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.? |
$[(-623497/19, 494371584/19)]$ |
229320.z2 |
229320du2 |
229320.z |
229320du |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{20} \cdot 5^{2} \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$10920$ |
$12$ |
$0$ |
$18.76728173$ |
$1$ |
|
$1$ |
$28901376$ |
$3.361343$ |
$17147425715207422/12872524043925$ |
$[0, 0, 0, 30086637, -34628719538]$ |
\(y^2=x^3+30086637x-34628719538\) |
2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.? |
$[(1479845682/551, 79847514596192/551)]$ |
229320.ba1 |
229320dv1 |
229320.ba |
229320dv |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{5} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$5.235631917$ |
$1$ |
|
$3$ |
$6881280$ |
$2.484509$ |
$267080942160036/1990625$ |
$[0, 0, 0, -5963643, 5605479558]$ |
\(y^2=x^3-5963643x+5605479558\) |
2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? |
$[(-2177, 90944)]$ |