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 |
2790.a1 |
2790b1 |
2790.a |
2790b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1.189851250$ |
$1$ |
|
$2$ |
$864$ |
$0.097331$ |
$-19683/1240$ |
$0.90467$ |
$3.08481$ |
$[1, -1, 0, -15, -235]$ |
\(y^2+xy=x^3-x^2-15x-235\) |
3720.2.0.? |
$[(13, 34)]$ |
2790.b1 |
2790a2 |
2790.b |
2790a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{10} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$18.86171801$ |
$1$ |
|
$0$ |
$51840$ |
$2.214256$ |
$66928707375050045043/155000000000$ |
$1.03223$ |
$7.00014$ |
$[1, -1, 0, -2283810, -1327854700]$ |
\(y^2+xy=x^3-x^2-2283810x-1327854700\) |
2.3.0.a.1, 60.6.0.c.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[(118056499/207, 1010253730195/207)]$ |
2790.b2 |
2790a1 |
2790.b |
2790a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{5} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$9.430859006$ |
$1$ |
|
$1$ |
$25920$ |
$1.867683$ |
$-15780576012359283/787251200000$ |
$0.99917$ |
$5.95777$ |
$[1, -1, 0, -141090, -21224044]$ |
\(y^2+xy=x^3-x^2-141090x-21224044\) |
2.3.0.a.1, 30.6.0.a.1, 744.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[(51715/9, 8655184/9)]$ |
2790.c1 |
2790g5 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{7} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32768$ |
$1.931131$ |
$3216206300355197383681/57660$ |
$1.02949$ |
$7.07280$ |
$[1, -1, 0, -2767680, 1772929620]$ |
\(y^2+xy=x^3-x^2-2767680x+1772929620\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
2790.c2 |
2790g4 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16384$ |
$1.584558$ |
$785209010066844481/3324675600$ |
$1.00078$ |
$6.02440$ |
$[1, -1, 0, -172980, 27734400]$ |
\(y^2+xy=x^3-x^2-172980x+27734400\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.1, 20.24.0-4.b.1.2, $\ldots$ |
$[]$ |
2790.c3 |
2790g6 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5 \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32768$ |
$1.931131$ |
$-749011598724977281/51173462246460$ |
$1.00195$ |
$6.03252$ |
$[1, -1, 0, -170280, 28639980]$ |
\(y^2+xy=x^3-x^2-170280x+28639980\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
2790.c4 |
2790g3 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{8} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16384$ |
$1.584558$ |
$5601911201812801/1271193750000$ |
$0.98526$ |
$5.40139$ |
$[1, -1, 0, -33300, -1815264]$ |
\(y^2+xy=x^3-x^2-33300x-1815264\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 24.48.0-8.bb.1.2, $\ldots$ |
$[]$ |
2790.c5 |
2790g2 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8192$ |
$1.237984$ |
$200828550012481/12454560000$ |
$0.96232$ |
$4.98187$ |
$[1, -1, 0, -10980, 421200]$ |
\(y^2+xy=x^3-x^2-10980x+421200\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.3, 24.48.0-8.e.2.3, $\ldots$ |
$[]$ |
2790.c6 |
2790g1 |
2790.c |
2790g |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.891411$ |
$23862997439/457113600$ |
$0.96182$ |
$4.27994$ |
$[1, -1, 0, 540, 27216]$ |
\(y^2+xy=x^3-x^2+540x+27216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.1, $\ldots$ |
$[]$ |
2790.d1 |
2790e1 |
2790.d |
2790e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50400$ |
$1.978937$ |
$-28485240894685827/4402018257760$ |
$1.07217$ |
$6.05162$ |
$[1, -1, 0, -171789, 30891653]$ |
\(y^2+xy=x^3-x^2-171789x+30891653\) |
3720.2.0.? |
$[]$ |
2790.e1 |
2790m4 |
2790.e |
2790m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 31^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$13824$ |
$1.478529$ |
$947226559343329/443751840500$ |
$0.99256$ |
$5.17737$ |
$[1, -1, 0, -18414, -415152]$ |
\(y^2+xy=x^3-x^2-18414x-415152\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 10.6.0.a.1, 30.48.0-30.a.1.4, $\ldots$ |
$[]$ |
2790.e2 |
2790m2 |
2790.e |
2790m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.929222$ |
$549131937598369/307520$ |
$0.96644$ |
$5.10866$ |
$[1, -1, 0, -15354, -728460]$ |
\(y^2+xy=x^3-x^2-15354x-728460\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 10.6.0.a.1, 30.48.0-30.a.1.2, $\ldots$ |
$[]$ |
2790.e3 |
2790m1 |
2790.e |
2790m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.582648$ |
$-131794519969/3174400$ |
$0.90964$ |
$4.06325$ |
$[1, -1, 0, -954, -11340]$ |
\(y^2+xy=x^3-x^2-954x-11340\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 20.6.0.c.1, 60.48.0-60.q.1.15, $\ldots$ |
$[]$ |
2790.e4 |
2790m3 |
2790.e |
2790m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 31^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$6912$ |
$1.131954$ |
$10347405816671/7447750000$ |
$0.97053$ |
$4.60806$ |
$[1, -1, 0, 4086, -50652]$ |
\(y^2+xy=x^3-x^2+4086x-50652\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 20.6.0.c.1, 60.48.0-60.q.1.16, $\ldots$ |
$[]$ |
2790.f1 |
2790i2 |
2790.f |
2790i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$0.349139195$ |
$1$ |
|
$10$ |
$2560$ |
$0.702731$ |
$31942518433489/27900$ |
$0.94953$ |
$4.75014$ |
$[1, -1, 0, -5949, 178105]$ |
\(y^2+xy=x^3-x^2-5949x+178105\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(44, -31)]$ |
2790.f2 |
2790i1 |
2790.f |
2790i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$0.698278391$ |
$1$ |
|
$7$ |
$1280$ |
$0.356158$ |
$-7633736209/230640$ |
$0.88317$ |
$3.70547$ |
$[1, -1, 0, -369, 2893]$ |
\(y^2+xy=x^3-x^2-369x+2893\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(9, 11)]$ |
2790.g1 |
2790f2 |
2790.g |
2790f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{21} \cdot 3^{9} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3720$ |
$16$ |
$0$ |
$4.718310562$ |
$1$ |
|
$0$ |
$6048$ |
$1.177956$ |
$-1482713947827/325058560$ |
$0.94513$ |
$4.81909$ |
$[1, -1, 0, -6414, -230572]$ |
\(y^2+xy=x^3-x^2-6414x-230572\) |
3.8.0-3.a.1.1, 3720.16.0.? |
$[(391/2, 1715/2)]$ |
2790.g2 |
2790f1 |
2790.g |
2790f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 31^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3720$ |
$16$ |
$0$ |
$1.572770187$ |
$1$ |
|
$8$ |
$2016$ |
$0.628650$ |
$722458663317/476656000$ |
$0.97492$ |
$3.85714$ |
$[1, -1, 0, 561, 1773]$ |
\(y^2+xy=x^3-x^2+561x+1773\) |
3.8.0-3.a.1.2, 3720.16.0.? |
$[(-3, 9)]$ |
2790.h1 |
2790h2 |
2790.h |
2790h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$248$ |
$12$ |
$0$ |
$0.827085596$ |
$1$ |
|
$6$ |
$2304$ |
$0.834246$ |
$133974081659809/192200$ |
$0.95835$ |
$4.93085$ |
$[1, -1, 0, -9594, 364108]$ |
\(y^2+xy=x^3-x^2-9594x+364108\) |
2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.? |
$[(57, -26)]$ |
2790.h2 |
2790h1 |
2790.h |
2790h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$248$ |
$12$ |
$0$ |
$0.413542798$ |
$1$ |
|
$11$ |
$1152$ |
$0.487672$ |
$-31824875809/1240000$ |
$0.89741$ |
$3.88721$ |
$[1, -1, 0, -594, 5908]$ |
\(y^2+xy=x^3-x^2-594x+5908\) |
2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.? |
$[(12, 14)]$ |
2790.i1 |
2790c1 |
2790.i |
2790c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{30} \cdot 3^{3} \cdot 5^{7} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33600$ |
$1.931870$ |
$6832900384593441003/2600468480000000$ |
$1.17171$ |
$5.88169$ |
$[1, -1, 0, -118599, -9168707]$ |
\(y^2+xy=x^3-x^2-118599x-9168707\) |
2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
2790.i2 |
2790c2 |
2790.i |
2790c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{14} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$2.278442$ |
$212427047662836354837/192200000000000000$ |
$1.05392$ |
$6.31488$ |
$[1, -1, 0, 372921, -65890115]$ |
\(y^2+xy=x^3-x^2+372921x-65890115\) |
2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.? |
$[]$ |
2790.j1 |
2790k2 |
2790.j |
2790k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{3} \cdot 3^{14} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.852231$ |
$461710681489/252204840$ |
$0.96693$ |
$4.21612$ |
$[1, -1, 0, -1449, -4667]$ |
\(y^2+xy=x^3-x^2-1449x-4667\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[]$ |
2790.j2 |
2790k1 |
2790.j |
2790k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.505657$ |
$6549699311/4017600$ |
$0.93394$ |
$3.67975$ |
$[1, -1, 0, 351, -707]$ |
\(y^2+xy=x^3-x^2+351x-707\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[]$ |
2790.k1 |
2790l4 |
2790.k |
2790l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 31^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$69120$ |
$2.354626$ |
$28379906689597370652529/1357352437500$ |
$1.03569$ |
$7.34726$ |
$[1, -1, 0, -5719239, 5265909873]$ |
\(y^2+xy=x^3-x^2-5719239x+5265909873\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 124.6.0.?, $\ldots$ |
$[]$ |
2790.k2 |
2790l3 |
2790.k |
2790l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 31^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$34560$ |
$2.008053$ |
$-6894246873502147249/47925198774000$ |
$1.00931$ |
$6.29974$ |
$[1, -1, 0, -356859, 82633365]$ |
\(y^2+xy=x^3-x^2-356859x+82633365\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 124.6.0.?, $\ldots$ |
$[]$ |
2790.k3 |
2790l2 |
2790.k |
2790l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.805319$ |
$68663623745397169/19216056254400$ |
$1.06957$ |
$5.71727$ |
$[1, -1, 0, -76779, 5903685]$ |
\(y^2+xy=x^3-x^2-76779x+5903685\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 124.6.0.?, $\ldots$ |
$[]$ |
2790.k4 |
2790l1 |
2790.k |
2790l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3^{15} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.458746$ |
$296354077829711/387386634240$ |
$1.14724$ |
$5.05992$ |
$[1, -1, 0, 12501, 600453]$ |
\(y^2+xy=x^3-x^2+12501x+600453\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 124.6.0.?, $\ldots$ |
$[]$ |
2790.l1 |
2790j1 |
2790.l |
2790j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{13} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.464840647$ |
$1$ |
|
$6$ |
$37440$ |
$1.866505$ |
$-1354547383894636849/8173828125000$ |
$1.00308$ |
$6.09444$ |
$[1, -1, 0, -207459, -36507587]$ |
\(y^2+xy=x^3-x^2-207459x-36507587\) |
3720.2.0.? |
$[(1277, 41549)]$ |
2790.m1 |
2790d1 |
2790.m |
2790d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.062422$ |
$1860867/620$ |
$0.82565$ |
$3.06588$ |
$[1, -1, 0, -69, -127]$ |
\(y^2+xy=x^3-x^2-69x-127\) |
2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
2790.m2 |
2790d2 |
2790.m |
2790d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2 \cdot 3^{9} \cdot 5^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.408995$ |
$45499293/48050$ |
$0.90596$ |
$3.46880$ |
$[1, -1, 0, 201, -1045]$ |
\(y^2+xy=x^3-x^2+201x-1045\) |
2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.? |
$[]$ |
2790.n1 |
2790p1 |
2790.n |
2790p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16800$ |
$1.429630$ |
$-28485240894685827/4402018257760$ |
$1.07217$ |
$5.22079$ |
$[1, -1, 1, -19088, -1137773]$ |
\(y^2+xy+y=x^3-x^2-19088x-1137773\) |
3720.2.0.? |
$[]$ |
2790.o1 |
2790y2 |
2790.o |
2790y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.429452$ |
$11867954041/778410$ |
$0.88858$ |
$3.75467$ |
$[1, -1, 1, -428, -3099]$ |
\(y^2+xy+y=x^3-x^2-428x-3099\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[]$ |
2790.o2 |
2790y1 |
2790.o |
2790y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.082879$ |
$1685159/27900$ |
$0.86543$ |
$3.05619$ |
$[1, -1, 1, 22, -219]$ |
\(y^2+xy+y=x^3-x^2+22x-219\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[]$ |
2790.p1 |
2790t2 |
2790.p |
2790t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1.146005276$ |
$1$ |
|
$6$ |
$15360$ |
$1.479216$ |
$901456690969801/457629750000$ |
$0.99863$ |
$5.17113$ |
$[1, -1, 1, -18113, 333281]$ |
\(y^2+xy+y=x^3-x^2-18113x+333281\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(-75, 1162)]$ |
2790.p2 |
2790t1 |
2790.p |
2790t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$0.573002638$ |
$1$ |
|
$11$ |
$7680$ |
$1.132643$ |
$11298232190519/7472736000$ |
$0.97672$ |
$4.61914$ |
$[1, -1, 1, 4207, 38657]$ |
\(y^2+xy+y=x^3-x^2+4207x+38657\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(15, 316)]$ |
2790.q1 |
2790q1 |
2790.q |
2790q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3720$ |
$16$ |
$0$ |
$0.763871306$ |
$1$ |
|
$10$ |
$2016$ |
$0.628650$ |
$-1482713947827/325058560$ |
$0.94513$ |
$3.98825$ |
$[1, -1, 1, -713, 8777]$ |
\(y^2+xy+y=x^3-x^2-713x+8777\) |
3.8.0-3.a.1.2, 3720.16.0.? |
$[(15, 28)]$ |
2790.q2 |
2790q2 |
2790.q |
2790q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3720$ |
$16$ |
$0$ |
$0.254623768$ |
$1$ |
|
$8$ |
$6048$ |
$1.177956$ |
$722458663317/476656000$ |
$0.97492$ |
$4.68797$ |
$[1, -1, 1, 5047, -52919]$ |
\(y^2+xy+y=x^3-x^2+5047x-52919\) |
3.8.0-3.a.1.1, 3720.16.0.? |
$[(73, 800)]$ |
2790.r1 |
2790v2 |
2790.r |
2790v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{3} \cdot 3^{7} \cdot 5 \cdot 31^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2880$ |
$0.798911$ |
$-15777367606441/3574920$ |
$0.94496$ |
$4.66128$ |
$[1, -1, 1, -4703, 125327]$ |
\(y^2+xy+y=x^3-x^2-4703x+125327\) |
3.8.0-3.a.1.2, 3720.16.0.? |
$[]$ |
2790.r2 |
2790v1 |
2790.r |
2790v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2 \cdot 3^{9} \cdot 5^{3} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.249605$ |
$1685159/209250$ |
$0.91805$ |
$3.31405$ |
$[1, -1, 1, 22, 587]$ |
\(y^2+xy+y=x^3-x^2+22x+587\) |
3.8.0-3.a.1.1, 3720.16.0.? |
$[]$ |
2790.s1 |
2790n1 |
2790.s |
2790n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{30} \cdot 3^{9} \cdot 5^{7} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$100800$ |
$2.481174$ |
$6832900384593441003/2600468480000000$ |
$1.17171$ |
$6.71252$ |
$[1, -1, 1, -1067393, 248622481]$ |
\(y^2+xy+y=x^3-x^2-1067393x+248622481\) |
2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
2790.s2 |
2790n2 |
2790.s |
2790n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{14} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$2.827751$ |
$212427047662836354837/192200000000000000$ |
$1.05392$ |
$7.14571$ |
$[1, -1, 1, 3356287, 1775676817]$ |
\(y^2+xy+y=x^3-x^2+3356287x+1775676817\) |
2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.? |
$[]$ |
2790.t1 |
2790w2 |
2790.t |
2790w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{14} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$2.103699$ |
$5805223604235668521/435937500000000$ |
$1.01018$ |
$6.27656$ |
$[1, -1, 1, -336983, -70154769]$ |
\(y^2+xy+y=x^3-x^2-336983x-70154769\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
2790.t2 |
2790w1 |
2790.t |
2790w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{7} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.757126$ |
$1238798620042199/14760960000000$ |
$1.01326$ |
$5.58618$ |
$[1, -1, 1, 20137, -4873233]$ |
\(y^2+xy+y=x^3-x^2+20137x-4873233\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[]$ |
2790.u1 |
2790u1 |
2790.u |
2790u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{11} \cdot 3^{11} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.169625409$ |
$1$ |
|
$8$ |
$3520$ |
$0.750903$ |
$102437538839/77137920$ |
$0.93617$ |
$4.02634$ |
$[1, -1, 1, 877, -5709]$ |
\(y^2+xy+y=x^3-x^2+877x-5709\) |
3720.2.0.? |
$[(23, 150)]$ |
2790.v1 |
2790x2 |
2790.v |
2790x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{13} \cdot 3^{10} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33280$ |
$2.031029$ |
$1152829477932246539641/3188367360$ |
$1.02640$ |
$6.94348$ |
$[1, -1, 1, -1966028, -1060550449]$ |
\(y^2+xy+y=x^3-x^2-1966028x-1060550449\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[]$ |
2790.v2 |
2790x1 |
2790.v |
2790x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16640$ |
$1.684456$ |
$-281115640967896441/468084326400$ |
$1.04713$ |
$5.89530$ |
$[1, -1, 1, -122828, -16561969]$ |
\(y^2+xy+y=x^3-x^2-122828x-16561969\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[]$ |
2790.w1 |
2790o1 |
2790.w |
2790o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$-0.486885$ |
$1860867/620$ |
$0.82565$ |
$2.23504$ |
$[1, -1, 1, -8, 7]$ |
\(y^2+xy+y=x^3-x^2-8x+7\) |
2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.? |
$[]$ |
2790.w2 |
2790o2 |
2790.w |
2790o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$-0.140311$ |
$45499293/48050$ |
$0.90596$ |
$2.63796$ |
$[1, -1, 1, 22, 31]$ |
\(y^2+xy+y=x^3-x^2+22x+31\) |
2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.? |
$[]$ |
2790.x1 |
2790s1 |
2790.x |
2790s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.250438710$ |
$1$ |
|
$6$ |
$288$ |
$-0.451975$ |
$-19683/1240$ |
$0.90467$ |
$2.25397$ |
$[1, -1, 1, -2, 9]$ |
\(y^2+xy+y=x^3-x^2-2x+9\) |
3720.2.0.? |
$[(-1, 3)]$ |