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 |
72128.a1 |
72128ba1 |
72128.a |
72128ba |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.984054740$ |
$1$ |
|
$2$ |
$516096$ |
$1.348230$ |
$1029037824/596183$ |
$1.06789$ |
$3.51852$ |
$[0, 0, 0, 10388, 13720]$ |
\(y^2=x^3+10388x+13720\) |
46.2.0.a.1 |
$[(77, 1127)]$ |
72128.b1 |
72128z1 |
72128.b |
72128z |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.498424673$ |
$1$ |
|
$2$ |
$55296$ |
$0.498116$ |
$-6912/23$ |
$0.66890$ |
$2.62444$ |
$[0, 0, 0, -196, -2744]$ |
\(y^2=x^3-196x-2744\) |
46.2.0.a.1 |
$[(21, 49)]$ |
72128.c1 |
72128bu1 |
72128.c |
72128bu |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$5.663209327$ |
$1$ |
|
$0$ |
$138240$ |
$0.932666$ |
$-1149984000/23$ |
$0.95837$ |
$3.52845$ |
$[0, 0, 0, -10780, -430808]$ |
\(y^2=x^3-10780x-430808\) |
46.2.0.a.1 |
$[(1477/3, 40229/3)]$ |
72128.d1 |
72128y1 |
72128.d |
72128y |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{24} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$35.04676167$ |
$1$ |
|
$0$ |
$18800640$ |
$3.409851$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$5.74118$ |
$[0, 0, 0, 4787300, 102119883544]$ |
\(y^2=x^3+4787300x+102119883544\) |
46.2.0.a.1 |
$[(331971950098957/1250867, 628576006956794515295327/1250867)]$ |
72128.e1 |
72128ch1 |
72128.e |
72128ch |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{14} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2064384$ |
$2.430264$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$4.88027$ |
$[0, 0, 0, -1650124, 827774248]$ |
\(y^2=x^3-1650124x+827774248\) |
46.2.0.a.1 |
$[]$ |
72128.f1 |
72128cg2 |
72128.f |
72128cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$2.002571$ |
$38758598383688/25921$ |
$0.93577$ |
$4.77026$ |
$[0, 1, 0, -1105505, -447761441]$ |
\(y^2=x^3+x^2-1105505x-447761441\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
72128.f2 |
72128cg1 |
72128.f |
72128cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.656000$ |
$-74299881664/1958887$ |
$0.94180$ |
$4.02900$ |
$[0, 1, 0, -68665, -7104441]$ |
\(y^2=x^3+x^2-68665x-7104441\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
72128.g1 |
72128ce1 |
72128.g |
72128ce |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{14} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.244226$ |
$109744/23$ |
$0.77302$ |
$3.47063$ |
$[0, 1, 0, -8689, -251889]$ |
\(y^2=x^3+x^2-8689x-251889\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[]$ |
72128.g2 |
72128ce2 |
72128.g |
72128ce |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.590799$ |
$275684/529$ |
$0.79078$ |
$3.75197$ |
$[0, 1, 0, 18751, -1497665]$ |
\(y^2=x^3+x^2+18751x-1497665\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
72128.h1 |
72128bo2 |
72128.h |
72128bo |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$7.427743965$ |
$1$ |
|
$3$ |
$196608$ |
$1.501154$ |
$13062552753151/92$ |
$0.97210$ |
$4.33705$ |
$[0, 1, 0, -219809, -39739169]$ |
\(y^2=x^3+x^2-219809x-39739169\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[(3093, 169940)]$ |
72128.h2 |
72128bo1 |
72128.h |
72128bo |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 7^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$3.713871982$ |
$1$ |
|
$5$ |
$98304$ |
$1.154581$ |
$-3183010111/8464$ |
$0.90674$ |
$3.59372$ |
$[0, 1, 0, -13729, -625185]$ |
\(y^2=x^3+x^2-13729x-625185\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(149, 812)]$ |
72128.i1 |
72128w2 |
72128.i |
72128w |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{23} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$2.226862264$ |
$1$ |
|
$3$ |
$737280$ |
$2.051327$ |
$582810602977/829472$ |
$0.91997$ |
$4.58093$ |
$[0, 1, 0, -545729, -155163233]$ |
\(y^2=x^3+x^2-545729x-155163233\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-421, 384)]$ |
72128.i2 |
72128w1 |
72128.i |
72128w |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{28} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.453724529$ |
$1$ |
|
$3$ |
$368640$ |
$1.704754$ |
$304821217/164864$ |
$0.89657$ |
$3.90547$ |
$[0, 1, 0, -43969, -922209]$ |
\(y^2=x^3+x^2-43969x-922209\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(1101, 35868)]$ |
72128.j1 |
72128bp2 |
72128.j |
72128bp |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1.143445379$ |
$1$ |
|
$7$ |
$221184$ |
$1.381550$ |
$57512456/25921$ |
$0.81907$ |
$3.57049$ |
$[0, 1, 0, -12609, -260513]$ |
\(y^2=x^3+x^2-12609x-260513\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(443, 9016)]$ |
72128.j2 |
72128bp1 |
72128.j |
72128bp |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.286890758$ |
$1$ |
|
$5$ |
$110592$ |
$1.034977$ |
$277167808/161$ |
$0.94672$ |
$3.52518$ |
$[0, 1, 0, -10649, -426329]$ |
\(y^2=x^3+x^2-10649x-426329\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(-59, 8)]$ |
72128.k1 |
72128bq2 |
72128.k |
72128bq |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{19} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1.296831551$ |
$1$ |
|
$7$ |
$442368$ |
$1.637987$ |
$304821217/51842$ |
$0.85015$ |
$3.90547$ |
$[0, 1, 0, -43969, -2996673]$ |
\(y^2=x^3+x^2-43969x-2996673\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-113, 736)]$ |
72128.k2 |
72128bq1 |
72128.k |
72128bq |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.593663102$ |
$1$ |
|
$5$ |
$221184$ |
$1.291412$ |
$7189057/644$ |
$0.79155$ |
$3.57049$ |
$[0, 1, 0, -12609, 496831]$ |
\(y^2=x^3+x^2-12609x+496831\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(143, 1280)]$ |
72128.l1 |
72128bm1 |
72128.l |
72128bm |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$4.200597707$ |
$1$ |
|
$3$ |
$36864$ |
$0.683357$ |
$39304000/1127$ |
$0.80444$ |
$2.97878$ |
$[0, 1, 0, -1388, -19874]$ |
\(y^2=x^3+x^2-1388x-19874\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(45, 104)]$ |
72128.l2 |
72128bm2 |
72128.l |
72128bm |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.100298853$ |
$1$ |
|
$5$ |
$73728$ |
$1.029932$ |
$8000/3703$ |
$0.89579$ |
$3.18818$ |
$[0, 1, 0, 327, -64121]$ |
\(y^2=x^3+x^2+327x-64121\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(83, 736)]$ |
72128.m1 |
72128u2 |
72128.m |
72128u |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 7^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$9.617725590$ |
$1$ |
|
$1$ |
$2949120$ |
$2.789040$ |
$263822189935250/149429406721$ |
$1.01471$ |
$5.06564$ |
$[0, 1, 0, -3325793, -341474561]$ |
\(y^2=x^3+x^2-3325793x-341474561\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(51714/5, 5053537/5)]$ |
72128.m2 |
72128u1 |
72128.m |
72128u |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 7^{11} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$4.808862795$ |
$1$ |
|
$3$ |
$1474560$ |
$2.442467$ |
$7953970437500/4703287687$ |
$1.05161$ |
$4.69065$ |
$[0, 1, 0, 821567, -42035169]$ |
\(y^2=x^3+x^2+821567x-42035169\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(626, 26795)]$ |
72128.n1 |
72128cd2 |
72128.n |
72128cd |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{25} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.533428$ |
$24553362849625/1755162752$ |
$0.94866$ |
$4.91534$ |
$[0, 1, 0, -1898913, 942289375]$ |
\(y^2=x^3+x^2-1898913x+942289375\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
72128.n2 |
72128cd1 |
72128.n |
72128cd |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{32} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.186855$ |
$4533086375/60669952$ |
$0.94157$ |
$4.42363$ |
$[0, 1, 0, 108127, 64410079]$ |
\(y^2=x^3+x^2+108127x+64410079\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
72128.o1 |
72128bl2 |
72128.o |
72128bl |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$3.532465911$ |
$1$ |
|
$3$ |
$245760$ |
$1.522774$ |
$12576878500/1127$ |
$0.87137$ |
$4.11408$ |
$[0, 1, 0, -95713, 11364639]$ |
\(y^2=x^3+x^2-95713x+11364639\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(193, 344)]$ |
72128.o2 |
72128bl1 |
72128.o |
72128bl |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.766232955$ |
$1$ |
|
$5$ |
$122880$ |
$1.176199$ |
$-9826000/3703$ |
$0.75859$ |
$3.39540$ |
$[0, 1, 0, -5553, 202831]$ |
\(y^2=x^3+x^2-5553x+202831\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(9, 392)]$ |
72128.p1 |
72128v2 |
72128.p |
72128v |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$33.32256908$ |
$1$ |
|
$1$ |
$1376256$ |
$2.474110$ |
$13062552753151/92$ |
$0.97210$ |
$5.38079$ |
$[0, 1, 0, -10770657, -13608993665]$ |
\(y^2=x^3+x^2-10770657x-13608993665\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[(285247656649394/76547, 4806431371257797027615/76547)]$ |
72128.p2 |
72128v1 |
72128.p |
72128v |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$16.66128454$ |
$1$ |
|
$1$ |
$688128$ |
$2.127537$ |
$-3183010111/8464$ |
$0.90674$ |
$4.63746$ |
$[0, 1, 0, -672737, -213092993]$ |
\(y^2=x^3+x^2-672737x-213092993\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(81762754/41, 739223174437/41)]$ |
72128.q1 |
72128bn2 |
72128.q |
72128bn |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 7^{12} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$2.627972582$ |
$1$ |
|
$3$ |
$737280$ |
$2.202892$ |
$1030541881826/62236321$ |
$0.92068$ |
$4.56992$ |
$[0, 1, 0, -523777, 137906943]$ |
\(y^2=x^3+x^2-523777x+137906943\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(319, 1840)]$ |
72128.q2 |
72128bn1 |
72128.q |
72128bn |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$5.255945165$ |
$1$ |
|
$3$ |
$368640$ |
$1.856318$ |
$1969910093092/7889$ |
$0.91859$ |
$4.56588$ |
$[0, 1, 0, -515937, 142468255]$ |
\(y^2=x^3+x^2-515937x+142468255\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(2865, 148960)]$ |
72128.r1 |
72128i1 |
72128.r |
72128i |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{14} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.271272$ |
$109744/23$ |
$0.77302$ |
$2.42689$ |
$[0, 1, 0, -177, -785]$ |
\(y^2=x^3+x^2-177x-785\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[]$ |
72128.r2 |
72128i2 |
72128.r |
72128i |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.617846$ |
$275684/529$ |
$0.79078$ |
$2.70823$ |
$[0, 1, 0, 383, -4257]$ |
\(y^2=x^3+x^2+383x-4257\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
72128.s1 |
72128cf2 |
72128.s |
72128cf |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.825661$ |
$5756278756/2705927$ |
$0.89317$ |
$4.04421$ |
$[0, 1, 0, -73761, -3365153]$ |
\(y^2=x^3+x^2-73761x-3365153\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
72128.s2 |
72128cf1 |
72128.s |
72128cf |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.479088$ |
$253012016/181447$ |
$0.84073$ |
$3.64096$ |
$[0, 1, 0, 16399, -389873]$ |
\(y^2=x^3+x^2+16399x-389873\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
72128.t1 |
72128p1 |
72128.t |
72128p |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.704951029$ |
$1$ |
|
$2$ |
$46080$ |
$0.491467$ |
$-256/23$ |
$0.98486$ |
$2.61068$ |
$[0, -1, 0, -65, -2519]$ |
\(y^2=x^3-x^2-65x-2519\) |
46.2.0.a.1 |
$[(96, 931)]$ |
72128.u1 |
72128bg1 |
72128.u |
72128bg |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$4.585240555$ |
$1$ |
|
$2$ |
$73728$ |
$1.140301$ |
$1257728/55223$ |
$0.84577$ |
$3.30474$ |
$[0, -1, 0, 1111, -123647]$ |
\(y^2=x^3-x^2+1111x-123647\) |
46.2.0.a.1 |
$[(656, 16807)]$ |
72128.v1 |
72128e1 |
72128.v |
72128e |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$0.579410$ |
$-562432/23$ |
$0.75822$ |
$2.85309$ |
$[0, -1, 0, -849, -9575]$ |
\(y^2=x^3-x^2-849x-9575\) |
46.2.0.a.1 |
$[]$ |
72128.w1 |
72128bf1 |
72128.w |
72128bf |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.418650386$ |
$1$ |
|
$2$ |
$73728$ |
$0.968616$ |
$-157216000/1127$ |
$0.78840$ |
$3.35166$ |
$[0, -1, 0, -5553, 162121]$ |
\(y^2=x^3-x^2-5553x+162121\) |
46.2.0.a.1 |
$[(40, 49)]$ |
72128.x1 |
72128bz2 |
72128.x |
72128bz |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.049566$ |
$-42592000/12167$ |
$0.87185$ |
$3.26968$ |
$[0, -1, 0, -3593, -100127]$ |
\(y^2=x^3-x^2-3593x-100127\) |
3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 168.8.0.?, 3864.16.0.? |
$[]$ |
72128.x2 |
72128bz1 |
72128.x |
72128bz |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.500259$ |
$32000/23$ |
$0.71982$ |
$2.59073$ |
$[0, -1, 0, 327, 1009]$ |
\(y^2=x^3-x^2+327x+1009\) |
3.4.0.a.1, 46.2.0.a.1, 138.8.0.?, 168.8.0.?, 3864.16.0.? |
$[]$ |
72128.y1 |
72128d1 |
72128.y |
72128d |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$0.816116$ |
$32000/1127$ |
$0.75706$ |
$2.95654$ |
$[0, -1, 0, 327, 17473]$ |
\(y^2=x^3-x^2+327x+17473\) |
46.2.0.a.1 |
$[]$ |
72128.z1 |
72128bc2 |
72128.z |
72128bc |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{19} \cdot 7^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$3.657113537$ |
$1$ |
|
$5$ |
$884736$ |
$2.165684$ |
$1494447319737/5411854$ |
$1.04645$ |
$4.66511$ |
$[0, 0, 0, -746956, 247700880]$ |
\(y^2=x^3-746956x+247700880\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(469, 735)]$ |
72128.z2 |
72128bc1 |
72128.z |
72128bc |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{20} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.828556768$ |
$1$ |
|
$5$ |
$442368$ |
$1.819109$ |
$-60698457/725788$ |
$0.93405$ |
$4.03614$ |
$[0, 0, 0, -25676, 7370384]$ |
\(y^2=x^3-25676x+7370384\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(-224, 1372)]$ |
72128.ba1 |
72128l2 |
72128.ba |
72128l |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{19} \cdot 7^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$19.14836493$ |
$1$ |
|
$1$ |
$884736$ |
$2.165684$ |
$1494447319737/5411854$ |
$1.04645$ |
$4.66511$ |
$[0, 0, 0, -746956, -247700880]$ |
\(y^2=x^3-746956x-247700880\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(153053093/329, 1389873872073/329)]$ |
72128.ba2 |
72128l1 |
72128.ba |
72128l |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{20} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$9.574182466$ |
$1$ |
|
$1$ |
$442368$ |
$1.819109$ |
$-60698457/725788$ |
$0.93405$ |
$4.03614$ |
$[0, 0, 0, -25676, -7370384]$ |
\(y^2=x^3-25676x-7370384\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(62469/7, 15461543/7)]$ |
72128.bb1 |
72128k2 |
72128.bb |
72128k |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1.670896666$ |
$1$ |
|
$5$ |
$110592$ |
$1.189981$ |
$2315250/529$ |
$0.89506$ |
$3.40723$ |
$[0, 0, 0, -6860, -170128]$ |
\(y^2=x^3-6860x-170128\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(-56, 196)]$ |
72128.bb2 |
72128k1 |
72128.bb |
72128k |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$3.341793332$ |
$1$ |
|
$3$ |
$55296$ |
$0.843408$ |
$13500/23$ |
$0.90383$ |
$2.94479$ |
$[0, 0, 0, 980, -16464]$ |
\(y^2=x^3+980x-16464\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(142, 1728)]$ |
72128.bc1 |
72128bb2 |
72128.bc |
72128bb |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$2.257216481$ |
$1$ |
|
$3$ |
$110592$ |
$1.189981$ |
$2315250/529$ |
$0.89506$ |
$3.40723$ |
$[0, 0, 0, -6860, 170128]$ |
\(y^2=x^3-6860x+170128\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(-84, 392)]$ |
72128.bc2 |
72128bb1 |
72128.bc |
72128bb |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$4.514432962$ |
$1$ |
|
$3$ |
$55296$ |
$0.843408$ |
$13500/23$ |
$0.90383$ |
$2.94479$ |
$[0, 0, 0, 980, 16464]$ |
\(y^2=x^3+980x+16464\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(498, 11136)]$ |
72128.bd1 |
72128b4 |
72128.bd |
72128b |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$1.907042$ |
$209267191953/55223$ |
$0.94092$ |
$4.48937$ |
$[0, 0, 0, -387884, -92961232]$ |
\(y^2=x^3-387884x-92961232\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.9, 92.12.0.?, $\ldots$ |
$[]$ |
72128.bd2 |
72128b2 |
72128.bd |
72128b |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$245760$ |
$1.560469$ |
$72511713/25921$ |
$0.92625$ |
$3.77710$ |
$[0, 0, 0, -27244, -1070160]$ |
\(y^2=x^3-27244x-1070160\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.2, 92.12.0.?, $\ldots$ |
$[]$ |