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 |
141.d1 |
141d1 |
141.d |
141d |
$1$ |
$1$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.198495236$ |
$1$ |
|
$4$ |
$4$ |
$-0.896471$ |
$262144/141$ |
$0.98143$ |
$2.52117$ |
$[0, -1, 1, -1, 0]$ |
\(y^2+y=x^3-x^2-x\) |
282.2.0.? |
$[(0, 0)]$ |
423.c1 |
423a1 |
423.c |
423a |
$1$ |
$1$ |
\( 3^{2} \cdot 47 \) |
\( 3^{7} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.139504238$ |
$1$ |
|
$6$ |
$32$ |
$-0.347165$ |
$262144/141$ |
$0.98143$ |
$3.15316$ |
$[0, 0, 1, -12, 4]$ |
\(y^2+y=x^3-12x+4\) |
282.2.0.? |
$[(-2, 4)]$ |
2256.k1 |
2256o1 |
2256.k |
2256o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 47 \) |
\( 2^{12} \cdot 3 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$-0.203324$ |
$262144/141$ |
$0.98143$ |
$2.69311$ |
$[0, 1, 0, -21, 3]$ |
\(y^2=x^3+x^2-21x+3\) |
282.2.0.? |
$[]$ |
3525.h1 |
3525m1 |
3525.h |
3525m |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 47 \) |
\( 3 \cdot 5^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1.741886602$ |
$1$ |
|
$2$ |
$560$ |
$-0.091752$ |
$262144/141$ |
$0.98143$ |
$2.70988$ |
$[0, 1, 1, -33, -31]$ |
\(y^2+y=x^3+x^2-33x-31\) |
282.2.0.? |
$[(-1, 1)]$ |
6627.e1 |
6627a1 |
6627.e |
6627a |
$1$ |
$1$ |
\( 3 \cdot 47^{2} \) |
\( 3 \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8832$ |
$1.028603$ |
$262144/141$ |
$0.98143$ |
$4.04340$ |
$[0, -1, 1, -2945, 17324]$ |
\(y^2+y=x^3-x^2-2945x+17324\) |
282.2.0.? |
$[]$ |
6768.m1 |
6768n1 |
6768.m |
6768n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 47 \) |
\( 2^{12} \cdot 3^{7} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1.658933754$ |
$1$ |
|
$2$ |
$2304$ |
$0.345983$ |
$262144/141$ |
$0.98143$ |
$3.10501$ |
$[0, 0, 0, -192, -272]$ |
\(y^2=x^3-192x-272\) |
282.2.0.? |
$[(-7, 27)]$ |
6909.h1 |
6909l1 |
6909.h |
6909l |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 47 \) |
\( 3 \cdot 7^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1320$ |
$0.076484$ |
$262144/141$ |
$0.98143$ |
$2.73196$ |
$[0, 1, 1, -65, 32]$ |
\(y^2+y=x^3+x^2-65x+32\) |
282.2.0.? |
$[]$ |
9024.r1 |
9024bj1 |
9024.r |
9024bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1.241430236$ |
$1$ |
|
$2$ |
$576$ |
$-0.549897$ |
$262144/141$ |
$0.98143$ |
$1.82655$ |
$[0, -1, 0, -5, 3]$ |
\(y^2=x^3-x^2-5x+3\) |
282.2.0.? |
$[(-2, 1)]$ |
9024.bl1 |
9024m1 |
9024.bl |
9024m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.549897$ |
$262144/141$ |
$0.98143$ |
$1.82655$ |
$[0, 1, 0, -5, -3]$ |
\(y^2=x^3+x^2-5x-3\) |
282.2.0.? |
$[]$ |
10575.n1 |
10575g1 |
10575.n |
10575g |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 47 \) |
\( 3^{7} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4480$ |
$0.457554$ |
$262144/141$ |
$0.98143$ |
$3.09995$ |
$[0, 0, 1, -300, 531]$ |
\(y^2+y=x^3-300x+531\) |
282.2.0.? |
$[]$ |
17061.b1 |
17061a1 |
17061.b |
17061a |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 47 \) |
\( 3 \cdot 11^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5400$ |
$0.302477$ |
$262144/141$ |
$0.98143$ |
$2.75683$ |
$[0, -1, 1, -161, 263]$ |
\(y^2+y=x^3-x^2-161x+263\) |
282.2.0.? |
$[]$ |
19881.e1 |
19881e1 |
19881.e |
19881e |
$1$ |
$1$ |
\( 3^{2} \cdot 47^{2} \) |
\( 3^{7} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.431700096$ |
$1$ |
|
$6$ |
$70656$ |
$1.577909$ |
$262144/141$ |
$0.98143$ |
$4.26058$ |
$[0, 0, 1, -26508, -441248]$ |
\(y^2+y=x^3-26508x-441248\) |
282.2.0.? |
$[(-94, 1104)]$ |
20727.j1 |
20727j1 |
20727.j |
20727j |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 47 \) |
\( 3^{7} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$2.187785693$ |
$1$ |
|
$2$ |
$10560$ |
$0.625791$ |
$262144/141$ |
$0.98143$ |
$3.09319$ |
$[0, 0, 1, -588, -1458]$ |
\(y^2+y=x^3-588x-1458\) |
282.2.0.? |
$[(-10, 58)]$ |
23829.f1 |
23829e1 |
23829.f |
23829e |
$1$ |
$1$ |
\( 3 \cdot 13^{2} \cdot 47 \) |
\( 3 \cdot 13^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.386003$ |
$262144/141$ |
$0.98143$ |
$2.76489$ |
$[0, -1, 1, -225, -271]$ |
\(y^2+y=x^3-x^2-225x-271\) |
282.2.0.? |
$[]$ |
27072.v1 |
27072bb1 |
27072.v |
27072bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 47 \) |
\( 2^{6} \cdot 3^{7} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.940104871$ |
$1$ |
|
$2$ |
$4608$ |
$-0.000591$ |
$262144/141$ |
$0.98143$ |
$2.27578$ |
$[0, 0, 0, -48, 34]$ |
\(y^2=x^3-48x+34\) |
282.2.0.? |
$[(-1, 9)]$ |
27072.bj1 |
27072cc1 |
27072.bj |
27072cc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 47 \) |
\( 2^{6} \cdot 3^{7} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.757868051$ |
$1$ |
|
$2$ |
$4608$ |
$-0.000591$ |
$262144/141$ |
$0.98143$ |
$2.27578$ |
$[0, 0, 0, -48, -34]$ |
\(y^2=x^3-48x-34\) |
282.2.0.? |
$[(-5, 9)]$ |
40749.k1 |
40749j1 |
40749.k |
40749j |
$1$ |
$1$ |
\( 3 \cdot 17^{2} \cdot 47 \) |
\( 3 \cdot 17^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16640$ |
$0.520136$ |
$262144/141$ |
$0.98143$ |
$2.77677$ |
$[0, 1, 1, -385, -902]$ |
\(y^2+y=x^3+x^2-385x-902\) |
282.2.0.? |
$[]$ |
50901.f1 |
50901h1 |
50901.f |
50901h |
$1$ |
$1$ |
\( 3 \cdot 19^{2} \cdot 47 \) |
\( 3 \cdot 19^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$2.053306753$ |
$1$ |
|
$2$ |
$26208$ |
$0.575748$ |
$262144/141$ |
$0.98143$ |
$2.78135$ |
$[0, 1, 1, -481, 919]$ |
\(y^2+y=x^3+x^2-481x+919\) |
282.2.0.? |
$[(139, 1624)]$ |
51183.f1 |
51183g1 |
51183.f |
51183g |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 47 \) |
\( 3^{7} \cdot 11^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$0.851783$ |
$262144/141$ |
$0.98143$ |
$3.08542$ |
$[0, 0, 1, -1452, -5657]$ |
\(y^2+y=x^3-1452x-5657\) |
282.2.0.? |
$[]$ |
56400.j1 |
56400bl1 |
56400.j |
56400bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$0.601396$ |
$262144/141$ |
$0.98143$ |
$2.78340$ |
$[0, -1, 0, -533, 1437]$ |
\(y^2=x^3-x^2-533x+1437\) |
282.2.0.? |
$[]$ |
71487.l1 |
71487g1 |
71487.l |
71487g |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 47 \) |
\( 3^{7} \cdot 13^{6} \cdot 47 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1.385462143$ |
$1$ |
|
$10$ |
$69120$ |
$0.935309$ |
$262144/141$ |
$0.98143$ |
$3.08287$ |
$[0, 0, 1, -2028, 9337]$ |
\(y^2+y=x^3-2028x+9337\) |
282.2.0.? |
$[(91, 760), (-143/2, 1517/2)]$ |
74589.g1 |
74589a1 |
74589.g |
74589a |
$1$ |
$1$ |
\( 3 \cdot 23^{2} \cdot 47 \) |
\( 3 \cdot 23^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49896$ |
$0.671276$ |
$262144/141$ |
$0.98143$ |
$2.78880$ |
$[0, -1, 1, -705, 2150]$ |
\(y^2+y=x^3-x^2-705x+2150\) |
282.2.0.? |
$[]$ |
106032.bk1 |
106032bg1 |
106032.bk |
106032bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 47^{2} \) |
\( 2^{12} \cdot 3 \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$635904$ |
$1.721750$ |
$262144/141$ |
$0.98143$ |
$3.79340$ |
$[0, 1, 0, -47125, -1061629]$ |
\(y^2=x^3+x^2-47125x-1061629\) |
282.2.0.? |
$[]$ |
110544.bj1 |
110544ca1 |
110544.bj |
110544ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$6.886447484$ |
$1$ |
|
$0$ |
$95040$ |
$0.769631$ |
$262144/141$ |
$0.98143$ |
$2.79595$ |
$[0, -1, 0, -1045, -3107]$ |
\(y^2=x^3-x^2-1045x-3107\) |
282.2.0.? |
$[(-564/5, 11509/5)]$ |
118581.b1 |
118581e1 |
118581.b |
118581e |
$1$ |
$1$ |
\( 3 \cdot 29^{2} \cdot 47 \) |
\( 3 \cdot 29^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$5.145679565$ |
$1$ |
|
$0$ |
$100688$ |
$0.787177$ |
$262144/141$ |
$0.98143$ |
$2.79718$ |
$[0, 1, 1, -1121, -4213]$ |
\(y^2+y=x^3+x^2-1121x-4213\) |
282.2.0.? |
$[(-123/2, 365/2)]$ |
122247.h1 |
122247l1 |
122247.h |
122247l |
$1$ |
$1$ |
\( 3^{2} \cdot 17^{2} \cdot 47 \) |
\( 3^{7} \cdot 17^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1.278761904$ |
$1$ |
|
$4$ |
$133120$ |
$1.069443$ |
$262144/141$ |
$0.98143$ |
$3.07907$ |
$[0, 0, 1, -3468, 20880]$ |
\(y^2+y=x^3-3468x+20880\) |
282.2.0.? |
$[(0, 144)]$ |
135501.h1 |
135501g1 |
135501.h |
135501g |
$1$ |
$1$ |
\( 3 \cdot 31^{2} \cdot 47 \) |
\( 3 \cdot 31^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$2.328552274$ |
$1$ |
|
$0$ |
$120960$ |
$0.820522$ |
$262144/141$ |
$0.98143$ |
$2.79947$ |
$[0, 1, 1, -1281, 4262]$ |
\(y^2+y=x^3+x^2-1281x+4262\) |
282.2.0.? |
$[(28/3, 467/3)]$ |
152703.j1 |
152703j1 |
152703.j |
152703j |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 47 \) |
\( 3^{7} \cdot 19^{6} \cdot 47 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$4.328150971$ |
$1$ |
|
$6$ |
$209664$ |
$1.125055$ |
$262144/141$ |
$0.98143$ |
$3.07760$ |
$[0, 0, 1, -4332, -29151]$ |
\(y^2+y=x^3-4332x-29151\) |
282.2.0.? |
$[(-57, 180), (-31, 274)]$ |
165675.q1 |
165675n1 |
165675.q |
165675n |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 47^{2} \) |
\( 3 \cdot 5^{6} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$6.172053152$ |
$1$ |
|
$0$ |
$1236480$ |
$1.833323$ |
$262144/141$ |
$0.98143$ |
$3.76394$ |
$[0, 1, 1, -73633, 2018269]$ |
\(y^2+y=x^3+x^2-73633x+2018269\) |
282.2.0.? |
$[(46897/11, 7511039/11)]$ |
169200.bb1 |
169200br1 |
169200.bb |
169200br |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 47 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.150702$ |
$262144/141$ |
$0.98143$ |
$3.07693$ |
$[0, 0, 0, -4800, -34000]$ |
\(y^2=x^3-4800x-34000\) |
282.2.0.? |
$[]$ |
172725.t1 |
172725z1 |
172725.t |
172725z |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 47 \) |
\( 3 \cdot 5^{6} \cdot 7^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184800$ |
$0.881203$ |
$262144/141$ |
$0.98143$ |
$2.80350$ |
$[0, -1, 1, -1633, 7293]$ |
\(y^2+y=x^3-x^2-1633x+7293\) |
282.2.0.? |
$[]$ |
193029.e1 |
193029e1 |
193029.e |
193029e |
$1$ |
$1$ |
\( 3 \cdot 37^{2} \cdot 47 \) |
\( 3 \cdot 37^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$4.006346208$ |
$1$ |
|
$2$ |
$207792$ |
$0.908988$ |
$262144/141$ |
$0.98143$ |
$2.80530$ |
$[0, -1, 1, -1825, -7365]$ |
\(y^2+y=x^3-x^2-1825x-7365\) |
282.2.0.? |
$[(-39, 54)]$ |
223767.f1 |
223767f1 |
223767.f |
223767f |
$1$ |
$1$ |
\( 3^{2} \cdot 23^{2} \cdot 47 \) |
\( 3^{7} \cdot 23^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$399168$ |
$1.220583$ |
$262144/141$ |
$0.98143$ |
$3.07519$ |
$[0, 0, 1, -6348, -51710]$ |
\(y^2+y=x^3-6348x-51710\) |
282.2.0.? |
$[]$ |
225600.dz1 |
225600ix1 |
225600.dz |
225600ix |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$0.254822$ |
$262144/141$ |
$0.98143$ |
$2.13298$ |
$[0, -1, 0, -133, -113]$ |
\(y^2=x^3-x^2-133x-113\) |
282.2.0.? |
$[]$ |
225600.fg1 |
225600z1 |
225600.fg |
225600z |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$2.745721329$ |
$1$ |
|
$2$ |
$80640$ |
$0.254822$ |
$262144/141$ |
$0.98143$ |
$2.13298$ |
$[0, 1, 0, -133, 113]$ |
\(y^2=x^3+x^2-133x+113\) |
282.2.0.? |
$[(-8, 27)]$ |
237021.j1 |
237021j1 |
237021.j |
237021j |
$1$ |
$1$ |
\( 3 \cdot 41^{2} \cdot 47 \) |
\( 3 \cdot 41^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$3.087905843$ |
$1$ |
|
$0$ |
$266240$ |
$0.960315$ |
$262144/141$ |
$0.98143$ |
$2.80853$ |
$[0, 1, 1, -2241, -11596]$ |
\(y^2+y=x^3+x^2-2241x-11596\) |
282.2.0.? |
$[(694/3, 14275/3)]$ |
260709.e1 |
260709e1 |
260709.e |
260709e |
$1$ |
$1$ |
\( 3 \cdot 43^{2} \cdot 47 \) |
\( 3 \cdot 43^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$6.590385176$ |
$1$ |
|
$0$ |
$314496$ |
$0.984129$ |
$262144/141$ |
$0.98143$ |
$2.80999$ |
$[0, 1, 1, -2465, 11693]$ |
\(y^2+y=x^3+x^2-2465x+11693\) |
282.2.0.? |
$[(-3503/24, 2243321/24)]$ |
272976.bm1 |
272976bm1 |
272976.bm |
272976bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 47 \) |
\( 2^{12} \cdot 3 \cdot 11^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$7.976188896$ |
$1$ |
|
$0$ |
$388800$ |
$0.995624$ |
$262144/141$ |
$0.98143$ |
$2.81069$ |
$[0, 1, 0, -2581, -14269]$ |
\(y^2=x^3+x^2-2581x-14269\) |
282.2.0.? |
$[(-1490/7, 65997/7)]$ |
318096.z1 |
318096z1 |
318096.z |
318096z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 47^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5087232$ |
$2.271057$ |
$262144/141$ |
$0.98143$ |
$3.98473$ |
$[0, 0, 0, -424128, 28239856]$ |
\(y^2=x^3-424128x+28239856\) |
282.2.0.? |
$[]$ |
324723.o1 |
324723o1 |
324723.o |
324723o |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 47^{2} \) |
\( 3 \cdot 7^{6} \cdot 47^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$12.80129403$ |
$1$ |
|
$2$ |
$2914560$ |
$2.001556$ |
$262144/141$ |
$0.98143$ |
$3.72343$ |
$[0, 1, 1, -144321, -5653588]$ |
\(y^2+y=x^3+x^2-144321x-5653588\) |
282.2.0.? |
$[(-298, 3313), (-28838/9, 621469/9)]$ |
331632.bz1 |
331632bz1 |
331632.bz |
331632bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 47 \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$3.439231346$ |
$1$ |
|
$2$ |
$760320$ |
$1.318937$ |
$262144/141$ |
$0.98143$ |
$3.07286$ |
$[0, 0, 0, -9408, 93296]$ |
\(y^2=x^3-9408x+93296\) |
282.2.0.? |
$[(-47, 657)]$ |
355743.e1 |
355743e1 |
355743.e |
355743e |
$1$ |
$1$ |
\( 3^{2} \cdot 29^{2} \cdot 47 \) |
\( 3^{7} \cdot 29^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$805504$ |
$1.336483$ |
$262144/141$ |
$0.98143$ |
$3.07246$ |
$[0, 0, 1, -10092, 103653]$ |
\(y^2+y=x^3-10092x+103653\) |
282.2.0.? |
$[]$ |
381264.cj1 |
381264cj1 |
381264.cj |
381264cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 47 \) |
\( 2^{12} \cdot 3 \cdot 13^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$6.286316814$ |
$1$ |
|
$0$ |
$622080$ |
$1.079151$ |
$262144/141$ |
$0.98143$ |
$2.81561$ |
$[0, 1, 0, -3605, 20931]$ |
\(y^2=x^3+x^2-3605x+20931\) |
282.2.0.? |
$[(-4226/9, 192491/9)]$ |
396069.b1 |
396069b1 |
396069.b |
396069b |
$1$ |
$1$ |
\( 3 \cdot 47 \cdot 53^{2} \) |
\( 3 \cdot 47 \cdot 53^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$585728$ |
$1.088675$ |
$262144/141$ |
$0.98143$ |
$2.81616$ |
$[0, 1, 1, -3745, -24683]$ |
\(y^2+y=x^3+x^2-3745x-24683\) |
282.2.0.? |
$[]$ |
406503.h1 |
406503h1 |
406503.h |
406503h |
$1$ |
$1$ |
\( 3^{2} \cdot 31^{2} \cdot 47 \) |
\( 3^{7} \cdot 31^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$1.369829$ |
$262144/141$ |
$0.98143$ |
$3.07171$ |
$[0, 0, 1, -11532, -126612]$ |
\(y^2+y=x^3-11532x-126612\) |
282.2.0.? |
$[]$ |
424128.bb1 |
424128bb1 |
424128.bb |
424128bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 47^{2} \) |
\( 2^{6} \cdot 3 \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$4.679894507$ |
$1$ |
|
$0$ |
$1271808$ |
$1.375175$ |
$262144/141$ |
$0.98143$ |
$3.06660$ |
$[0, -1, 0, -11781, -126813]$ |
\(y^2=x^3-x^2-11781x-126813\) |
282.2.0.? |
$[(10001/8, 691417/8)]$ |
424128.db1 |
424128db1 |
424128.db |
424128db |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 47^{2} \) |
\( 2^{6} \cdot 3 \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$4.739720482$ |
$1$ |
|
$2$ |
$1271808$ |
$1.375175$ |
$262144/141$ |
$0.98143$ |
$3.06660$ |
$[0, 1, 0, -11781, 126813]$ |
\(y^2=x^3+x^2-11781x+126813\) |
282.2.0.? |
$[(-4, 417)]$ |
426525.bk1 |
426525bk1 |
426525.bk |
426525bk |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 47 \) |
\( 3 \cdot 5^{6} \cdot 11^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$756000$ |
$1.107195$ |
$262144/141$ |
$0.98143$ |
$2.81721$ |
$[0, 1, 1, -4033, 24844]$ |
\(y^2+y=x^3+x^2-4033x+24844\) |
282.2.0.? |
$[]$ |
442176.bx1 |
442176bx1 |
442176.bx |
442176bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$2.766746370$ |
$1$ |
|
$2$ |
$190080$ |
$0.423058$ |
$262144/141$ |
$0.98143$ |
$2.17786$ |
$[0, -1, 0, -261, 519]$ |
\(y^2=x^3-x^2-261x+519\) |
282.2.0.? |
$[(2, 1)]$ |
442176.he1 |
442176he1 |
442176.he |
442176he |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$190080$ |
$0.423058$ |
$262144/141$ |
$0.98143$ |
$2.17786$ |
$[0, 1, 0, -261, -519]$ |
\(y^2=x^3+x^2-261x-519\) |
282.2.0.? |
$[]$ |