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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
361920.a1 |
361920a1 |
361920.a |
361920a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 29 \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$9.395165708$ |
$1$ |
|
$19$ |
$368640$ |
$0.611889$ |
$1690201440256/152685$ |
$[0, -1, 0, -2501, 48981]$ |
\(y^2=x^3-x^2-2501x+48981\) |
361920.a2 |
361920a2 |
361920.a |
361920a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 29^{2} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1.174395713$ |
$1$ |
|
$53$ |
$737280$ |
$0.958463$ |
$-84433792336/31979025$ |
$[0, -1, 0, -2321, 56145]$ |
\(y^2=x^3-x^2-2321x+56145\) |
361920.b1 |
361920b3 |
361920.b |
361920b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{6} \cdot 29^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4.217092088$ |
$1$ |
|
$11$ |
$3317760$ |
$1.966448$ |
$2320909044001816576/26487235057725$ |
$[0, -1, 0, -278021, -55772379]$ |
\(y^2=x^3-x^2-278021x-55772379\) |
361920.b2 |
361920b4 |
361920.b |
361920b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 13^{3} \cdot 29^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$16.86836835$ |
$1$ |
|
$5$ |
$6635520$ |
$2.313019$ |
$-1339017045088336/529264868675985$ |
$[0, -1, 0, -58321, -141762959]$ |
\(y^2=x^3-x^2-58321x-141762959\) |
361920.b3 |
361920b1 |
361920.b |
361920b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4.217092088$ |
$1$ |
|
$11$ |
$1105920$ |
$1.417141$ |
$1902884346904576/55825453125$ |
$[0, -1, 0, -26021, 1582821]$ |
\(y^2=x^3-x^2-26021x+1582821\) |
361920.b4 |
361920b2 |
361920.b |
361920b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5^{3} \cdot 13 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$16.86836835$ |
$1$ |
|
$9$ |
$2211840$ |
$1.763714$ |
$1835526588464/726280556625$ |
$[0, -1, 0, 6479, 5242321]$ |
\(y^2=x^3-x^2+6479x+5242321\) |
361920.c1 |
361920c4 |
361920.c |
361920c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{17} \cdot 3 \cdot 5^{4} \cdot 13^{2} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$10.12361229$ |
$1$ |
|
$7$ |
$3276800$ |
$1.879486$ |
$1268609515369922/224119666875$ |
$[0, -1, 0, -114561, -12401535]$ |
\(y^2=x^3-x^2-114561x-12401535\) |
361920.c2 |
361920c2 |
361920.c |
361920c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2.530903074$ |
$1$ |
|
$29$ |
$1638400$ |
$1.532913$ |
$63109470425764/5404455225$ |
$[0, -1, 0, -33441, 2183841]$ |
\(y^2=x^3-x^2-33441x+2183841\) |
361920.c3 |
361920c1 |
361920.c |
361920c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 13^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2.530903074$ |
$1$ |
|
$13$ |
$819200$ |
$1.186338$ |
$236481269958736/1984905$ |
$[0, -1, 0, -32721, 2289105]$ |
\(y^2=x^3-x^2-32721x+2289105\) |
361920.c4 |
361920c3 |
361920.c |
361920c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{17} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$10.12361229$ |
$1$ |
|
$9$ |
$3276800$ |
$1.879486$ |
$39888803452318/354842863635$ |
$[0, -1, 0, 36159, 10020801]$ |
\(y^2=x^3-x^2+36159x+10020801\) |
361920.d1 |
361920d4 |
361920.d |
361920d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{16} \cdot 3^{24} \cdot 5 \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$7.464868156$ |
$1$ |
|
$3$ |
$15728640$ |
$2.681637$ |
$37031353559394592324/6920935791466905$ |
$[0, -1, 0, -2799681, -1482679359]$ |
\(y^2=x^3-x^2-2799681x-1482679359\) |
361920.d2 |
361920d2 |
361920.d |
361920d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3.732434078$ |
$1$ |
|
$9$ |
$7864320$ |
$2.335064$ |
$3990492186049586896/319127676581025$ |
$[0, -1, 0, -839281, 275015281]$ |
\(y^2=x^3-x^2-839281x+275015281\) |
361920.d3 |
361920d1 |
361920.d |
361920d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1.866217039$ |
$1$ |
|
$5$ |
$3932160$ |
$1.988489$ |
$60085575315625916416/435688632405$ |
$[0, -1, 0, -822461, 287364525]$ |
\(y^2=x^3-x^2-822461x+287364525\) |
361920.d4 |
361920d3 |
361920.d |
361920d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$7.464868156$ |
$1$ |
|
$3$ |
$15728640$ |
$2.681637$ |
$1043663576155667996/10778351982913125$ |
$[0, -1, 0, 851999, 1242089185]$ |
\(y^2=x^3-x^2+851999x+1242089185\) |
361920.e1 |
361920e1 |
361920.e |
361920e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.106072271$ |
$1$ |
|
$13$ |
$270336$ |
$0.426791$ |
$1927561216/1102725$ |
$[0, -1, 0, -261, 261]$ |
\(y^2=x^3-x^2-261x+261\) |
361920.e2 |
361920e2 |
361920.e |
361920e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8.424289086$ |
$1$ |
|
$9$ |
$540672$ |
$0.773365$ |
$7563666224/4427865$ |
$[0, -1, 0, 1039, 1041]$ |
\(y^2=x^3-x^2+1039x+1041\) |
361920.f1 |
361920f2 |
361920.f |
361920f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{12} \cdot 5 \cdot 13 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$21.22764949$ |
$1$ |
|
$3$ |
$933888$ |
$1.179300$ |
$20221464942784/1001766285$ |
$[0, -1, 0, -9081, -315495]$ |
\(y^2=x^3-x^2-9081x-315495\) |
361920.f2 |
361920f1 |
361920.f |
361920f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5.306912373$ |
$1$ |
|
$7$ |
$466944$ |
$0.832726$ |
$70138418624/2590301025$ |
$[0, -1, 0, 344, -19550]$ |
\(y^2=x^3-x^2+344x-19550\) |
361920.g1 |
361920g2 |
361920.g |
361920g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{12} \cdot 5 \cdot 13 \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.957314577$ |
$1$ |
|
$3$ |
$120913920$ |
$3.672081$ |
$104257038399293776070517184/14532769730198987776665$ |
$[0, -1, 0, -156884681, 659038556745]$ |
\(y^2=x^3-x^2-156884681x+659038556745\) |
361920.g2 |
361920g1 |
361920.g |
361920g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{24} \cdot 5^{2} \cdot 13^{2} \cdot 29^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5.914629154$ |
$1$ |
|
$3$ |
$60456960$ |
$3.325508$ |
$6859403317104911965087424/24475231937622520176525$ |
$[0, -1, 0, 15833644, 55111661550]$ |
\(y^2=x^3-x^2+15833644x+55111661550\) |
361920.h1 |
361920h2 |
361920.h |
361920h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3.828720320$ |
$1$ |
|
$3$ |
$13434880$ |
$2.492481$ |
$145946019963295373639104/2767415625$ |
$[0, -1, 0, -17549961, 28304281161]$ |
\(y^2=x^3-x^2-17549961x+28304281161\) |
361920.h2 |
361920h1 |
361920.h |
361920h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7.657440640$ |
$1$ |
|
$1$ |
$6717440$ |
$2.145908$ |
$-2280180477309525902656/314018173828125$ |
$[0, -1, 0, -1096836, 442559286]$ |
\(y^2=x^3-x^2-1096836x+442559286\) |
361920.i1 |
361920i1 |
361920.i |
361920i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3 \cdot 5^{5} \cdot 13^{3} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$17633280$ |
$2.762070$ |
$-930233490349206448485376/17321971875$ |
$[0, -1, 0, -51653061, -142869616035]$ |
\(y^2=x^3-x^2-51653061x-142869616035\) |
361920.j1 |
361920j1 |
361920.j |
361920j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 13^{5} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$182476800$ |
$3.803688$ |
$-597696040869577536732798976/5641791489003680404875$ |
$[0, -1, 0, -445716661, -3651170017235]$ |
\(y^2=x^3-x^2-445716661x-3651170017235\) |
361920.k1 |
361920k1 |
361920.k |
361920k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{3} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$0.533820965$ |
$1$ |
|
$9$ |
$1769472$ |
$1.707634$ |
$27187232484868096/3146640122925$ |
$[0, -1, 0, -63141, 5483205]$ |
\(y^2=x^3-x^2-63141x+5483205\) |
361920.k2 |
361920k2 |
361920.k |
361920k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1.067641930$ |
$1$ |
|
$5$ |
$3538944$ |
$2.054207$ |
$4637464349653424/22833823325625$ |
$[0, -1, 0, 88239, 27614961]$ |
\(y^2=x^3-x^2+88239x+27614961\) |
361920.l1 |
361920l1 |
361920.l |
361920l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{5} \cdot 13^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5.516739807$ |
$1$ |
|
$2$ |
$2488320$ |
$1.855221$ |
$-20844464253240180736/50946308521875$ |
$[0, -1, 0, -229341, 42439455]$ |
\(y^2=x^3-x^2-229341x+42439455\) |
361920.m1 |
361920m2 |
361920.m |
361920m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 13 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4.238998637$ |
$1$ |
|
$3$ |
$2949120$ |
$1.919662$ |
$33900232774273984/15658723925325$ |
$[0, -1, 0, -107881, 6163081]$ |
\(y^2=x^3-x^2-107881x+6163081\) |
361920.m2 |
361920m1 |
361920.m |
361920m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8.477997275$ |
$1$ |
|
$1$ |
$1474560$ |
$1.573090$ |
$23130610638041024/16901714188125$ |
$[0, -1, 0, 23744, 713806]$ |
\(y^2=x^3-x^2+23744x+713806\) |
361920.n1 |
361920n1 |
361920.n |
361920n |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{17} \cdot 3^{13} \cdot 5^{4} \cdot 13^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$7188480$ |
$2.311455$ |
$5809117569025678/63486938311875$ |
$[0, -1, 0, 190239, -135127935]$ |
\(y^2=x^3-x^2+190239x-135127935\) |
361920.o1 |
361920o1 |
361920.o |
361920o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{19} \cdot 3 \cdot 5^{8} \cdot 13^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1.355329391$ |
$1$ |
|
$2$ |
$2875392$ |
$1.868277$ |
$74082708125999/149327343750$ |
$[0, -1, 0, 55999, -8055999]$ |
\(y^2=x^3-x^2+55999x-8055999\) |
361920.p1 |
361920p2 |
361920.p |
361920p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 13^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7.172565810$ |
$1$ |
|
$3$ |
$4718592$ |
$2.001717$ |
$10868685473848063696/3741545925$ |
$[0, -1, 0, -1172081, -488019375]$ |
\(y^2=x^3-x^2-1172081x-488019375\) |
361920.p2 |
361920p1 |
361920.p |
361920p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3.586282905$ |
$1$ |
|
$3$ |
$2359296$ |
$1.655144$ |
$43025578182363136/787373218125$ |
$[0, -1, 0, -73581, -7535475]$ |
\(y^2=x^3-x^2-73581x-7535475\) |
361920.q1 |
361920q2 |
361920.q |
361920q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{20} \cdot 5^{6} \cdot 13 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$21626880$ |
$2.924297$ |
$1955243274404098311376/595640841502078125$ |
$[0, -1, 0, -6616561, 4510331761]$ |
\(y^2=x^3-x^2-6616561x+4510331761\) |
361920.q2 |
361920q1 |
361920.q |
361920q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{12} \cdot 13^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$10813440$ |
$2.577724$ |
$1799358592611632982016/70654089111328125$ |
$[0, -1, 0, -2554061, -1515980739]$ |
\(y^2=x^3-x^2-2554061x-1515980739\) |
361920.r1 |
361920r5 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$1$ |
$1$ |
|
$1$ |
$31457280$ |
$3.080219$ |
$217764763259392950709681/191615146362900$ |
$[0, -1, 0, -80217281, 276561475425]$ |
\(y^2=x^3-x^2-80217281x+276561475425\) |
361920.r2 |
361920r3 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 13^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$15728640$ |
$2.733646$ |
$54309086480107021681/1575939143610000$ |
$[0, -1, 0, -5049281, 4257878625]$ |
\(y^2=x^3-x^2-5049281x+4257878625\) |
361920.r3 |
361920r2 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{26} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$7864320$ |
$2.387070$ |
$173294065906331761/61964605497600$ |
$[0, -1, 0, -743361, -152244639]$ |
\(y^2=x^3-x^2-743361x-152244639\) |
361920.r4 |
361920r1 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{34} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.040497$ |
$122083727651299441/32242728960$ |
$[0, -1, 0, -661441, -206786975]$ |
\(y^2=x^3-x^2-661441x-206786975\) |
361920.r5 |
361920r6 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{16} \cdot 5^{8} \cdot 13^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$1$ |
$1$ |
|
$1$ |
$31457280$ |
$3.080219$ |
$773618103830753999/329643718157812500$ |
$[0, -1, 0, 1223999, 14133276001]$ |
\(y^2=x^3-x^2+1223999x+14133276001\) |
361920.r6 |
361920r4 |
361920.r |
361920r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$15728640$ |
$2.733646$ |
$4817210305461175439/4682306425314960$ |
$[0, -1, 0, 2251839, -1072969119]$ |
\(y^2=x^3-x^2+2251839x-1072969119\) |
361920.s1 |
361920s4 |
361920.s |
361920s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{15} \cdot 3 \cdot 5 \cdot 13 \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11.40441459$ |
$1$ |
|
$7$ |
$737280$ |
$1.188028$ |
$2840362499528/137919795$ |
$[0, -1, 0, -9441, -334815]$ |
\(y^2=x^3-x^2-9441x-334815\) |
361920.s2 |
361920s2 |
361920.s |
361920s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2.851103647$ |
$1$ |
|
$25$ |
$368640$ |
$0.841455$ |
$119386201024/31979025$ |
$[0, -1, 0, -1641, 19305]$ |
\(y^2=x^3-x^2-1641x+19305\) |
361920.s3 |
361920s1 |
361920.s |
361920s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 13 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11.40441459$ |
$1$ |
|
$3$ |
$184320$ |
$0.494882$ |
$6024593993536/706875$ |
$[0, -1, 0, -1516, 23230]$ |
\(y^2=x^3-x^2-1516x+23230\) |
361920.s4 |
361920s3 |
361920.s |
361920s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5 \cdot 13^{4} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11.40441459$ |
$1$ |
|
$7$ |
$737280$ |
$1.188028$ |
$242737073272/335448945$ |
$[0, -1, 0, 4159, 120225]$ |
\(y^2=x^3-x^2+4159x+120225\) |
361920.t1 |
361920t4 |
361920.t |
361920t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{12} \cdot 13^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$20.14625802$ |
$1$ |
|
$1$ |
$141557760$ |
$3.950859$ |
$92148020139329101671876361/4210293743325439453125$ |
$[0, -1, 0, -602236961, 5459539648161]$ |
\(y^2=x^3-x^2-602236961x+5459539648161\) |
361920.t2 |
361920t2 |
361920.t |
361920t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 13^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$10.07312901$ |
$1$ |
|
$3$ |
$70778880$ |
$3.604286$ |
$89077388930693421764046841/199454797863140625$ |
$[0, -1, 0, -595471841, 5593125060705]$ |
\(y^2=x^3-x^2-595471841x+5593125060705\) |
361920.t3 |
361920t1 |
361920.t |
361920t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5.036564506$ |
$1$ |
|
$3$ |
$35389440$ |
$3.257713$ |
$89077245323151497432103721/446603625$ |
$[0, -1, 0, -595471521, 5593131372321]$ |
\(y^2=x^3-x^2-595471521x+5593131372321\) |
361920.t4 |
361920t3 |
361920.t |
361920t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( - 2^{18} \cdot 3^{24} \cdot 5^{3} \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$20.14625802$ |
$1$ |
|
$1$ |
$141557760$ |
$3.950859$ |
$-86077987377718544995236841/4219867575452158651125$ |
$[0, -1, 0, -588711841, 5726306524705]$ |
\(y^2=x^3-x^2-588711841x+5726306524705\) |
361920.u1 |
361920u1 |
361920.u |
361920u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{20} \cdot 5 \cdot 13^{3} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$21.32398014$ |
$1$ |
|
$5$ |
$4792320$ |
$2.174873$ |
$4474375016012824576/1110767472704565$ |
$[0, -1, 0, -346021, -59085659]$ |
\(y^2=x^3-x^2-346021x-59085659\) |