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 |
142.c1 |
142e1 |
142.c |
142e |
$1$ |
$1$ |
\( 2 \cdot 71 \) |
\( 2^{27} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$324$ |
$0.764042$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$7.10950$ |
$[1, -1, 0, -2626, 52244]$ |
\(y^2+xy=x^3-x^2-2626x+52244\) |
568.2.0.? |
$[]$ |
1136.a1 |
1136d1 |
1136.a |
1136d |
$1$ |
$1$ |
\( 2^{4} \cdot 71 \) |
\( 2^{39} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7776$ |
$1.457190$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$6.19042$ |
$[0, 0, 0, -42019, -3301598]$ |
\(y^2=x^3-42019x-3301598\) |
568.2.0.? |
$[]$ |
1278.g1 |
1278i1 |
1278.g |
1278i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.317904479$ |
$1$ |
|
$6$ |
$4536$ |
$1.313349$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.84717$ |
$[1, -1, 1, -23636, -1386953]$ |
\(y^2+xy+y=x^3-x^2-23636x-1386953\) |
568.2.0.? |
$[(-91, 109)]$ |
3550.j1 |
3550o1 |
3550.j |
3550o |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71 \) |
\( 2^{27} \cdot 5^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.108704719$ |
$1$ |
|
$10$ |
$41472$ |
$1.568762$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.49134$ |
$[1, -1, 1, -65655, 6464847]$ |
\(y^2+xy+y=x^3-x^2-65655x+6464847\) |
568.2.0.? |
$[(-61, 3230)]$ |
4544.a1 |
4544j1 |
4544.a |
4544j |
$1$ |
$1$ |
\( 2^{6} \cdot 71 \) |
\( 2^{45} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62208$ |
$1.803762$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.66523$ |
$[0, 0, 0, -168076, 26412784]$ |
\(y^2=x^3-168076x+26412784\) |
568.2.0.? |
$[]$ |
4544.n1 |
4544m1 |
4544.n |
4544m |
$1$ |
$1$ |
\( 2^{6} \cdot 71 \) |
\( 2^{45} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$62208$ |
$1.803762$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.66523$ |
$[0, 0, 0, -168076, -26412784]$ |
\(y^2=x^3-168076x-26412784\) |
568.2.0.? |
$[]$ |
6958.a1 |
6958i1 |
6958.a |
6958i |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 71 \) |
\( 2^{27} \cdot 7^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$4.754753268$ |
$1$ |
|
$2$ |
$106920$ |
$1.736998$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.30185$ |
$[1, -1, 0, -128683, -17662331]$ |
\(y^2+xy=x^3-x^2-128683x-17662331\) |
568.2.0.? |
$[(-207, 374)]$ |
10082.g1 |
10082g1 |
10082.g |
10082g |
$1$ |
$1$ |
\( 2 \cdot 71^{2} \) |
\( 2^{27} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1632960$ |
$2.895382$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$6.59646$ |
$[1, -1, 0, -13238611, -18460412875]$ |
\(y^2+xy=x^3-x^2-13238611x-18460412875\) |
568.2.0.? |
$[]$ |
10224.h1 |
10224s1 |
10224.h |
10224s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 71 \) |
\( 2^{39} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$108864$ |
$2.006496$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.43113$ |
$[0, 0, 0, -378171, 89143146]$ |
\(y^2=x^3-378171x+89143146\) |
568.2.0.? |
$[]$ |
17182.j1 |
17182i1 |
17182.j |
17182i |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 71 \) |
\( 2^{27} \cdot 11^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$349920$ |
$1.962990$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.08847$ |
$[1, -1, 1, -317769, -68583479]$ |
\(y^2+xy+y=x^3-x^2-317769x-68583479\) |
568.2.0.? |
$[]$ |
23998.m1 |
23998j1 |
23998.m |
23998j |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 71 \) |
\( 2^{27} \cdot 13^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$664848$ |
$2.046516$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.01929$ |
$[1, -1, 1, -443826, 113448625]$ |
\(y^2+xy+y=x^3-x^2-443826x+113448625\) |
568.2.0.? |
$[]$ |
28400.z1 |
28400o1 |
28400.z |
28400o |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 71 \) |
\( 2^{39} \cdot 5^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$995328$ |
$2.261909$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.18891$ |
$[0, 0, 0, -1050475, -412699750]$ |
\(y^2=x^3-1050475x-412699750\) |
568.2.0.? |
$[]$ |
31950.bf1 |
31950r1 |
31950.bf |
31950r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 5^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$580608$ |
$2.118069$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.96357$ |
$[1, -1, 0, -590892, -173959984]$ |
\(y^2+xy=x^3-x^2-590892x-173959984\) |
568.2.0.? |
$[]$ |
40896.bk1 |
40896o1 |
40896.bk |
40896o |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{45} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$870912$ |
$2.353069$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.11375$ |
$[0, 0, 0, -1512684, -713145168]$ |
\(y^2=x^3-1512684x-713145168\) |
568.2.0.? |
$[]$ |
40896.br1 |
40896by1 |
40896.br |
40896by |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{45} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$870912$ |
$2.353069$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.11375$ |
$[0, 0, 0, -1512684, 713145168]$ |
\(y^2=x^3-1512684x+713145168\) |
568.2.0.? |
$[]$ |
41038.a1 |
41038b1 |
41038.a |
41038b |
$1$ |
$1$ |
\( 2 \cdot 17^{2} \cdot 71 \) |
\( 2^{27} \cdot 17^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$3.632920817$ |
$1$ |
|
$2$ |
$1492992$ |
$2.180649$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.91729$ |
$[1, -1, 0, -758968, 253638976]$ |
\(y^2+xy=x^3-x^2-758968x+253638976\) |
568.2.0.? |
$[(149, 11919)]$ |
51262.e1 |
51262g1 |
51262.e |
51262g |
$1$ |
$1$ |
\( 2 \cdot 19^{2} \cdot 71 \) |
\( 2^{27} \cdot 19^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.380881189$ |
$1$ |
|
$4$ |
$2326968$ |
$2.236263$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.87797$ |
$[1, -1, 1, -948054, -353601435]$ |
\(y^2+xy+y=x^3-x^2-948054x-353601435\) |
568.2.0.? |
$[(-535, 779)]$ |
55664.bg1 |
55664r1 |
55664.bg |
55664r |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 71 \) |
\( 2^{39} \cdot 7^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$11.21926299$ |
$1$ |
|
$0$ |
$2566080$ |
$2.430145$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.05411$ |
$[0, 0, 0, -2058931, 1132448114]$ |
\(y^2=x^3-2058931x+1132448114\) |
568.2.0.? |
$[(43098001/243, 61727113216/243)]$ |
62622.cn1 |
62622cc1 |
62622.cn |
62622cc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 7^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1496880$ |
$2.286304$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.84393$ |
$[1, -1, 1, -1158149, 478041085]$ |
\(y^2+xy+y=x^3-x^2-1158149x+478041085\) |
568.2.0.? |
$[]$ |
75118.i1 |
75118h1 |
75118.i |
75118h |
$1$ |
$1$ |
\( 2 \cdot 23^{2} \cdot 71 \) |
\( 2^{27} \cdot 23^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$62.58376829$ |
$1$ |
|
$0$ |
$3927528$ |
$2.331791$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.81405$ |
$[1, -1, 0, -1389253, -627317419]$ |
\(y^2+xy=x^3-x^2-1389253x-627317419\) |
568.2.0.? |
$[(-2577321816488599798241399291/2000080286841, 2753698515046141159860916828991351752579/2000080286841)]$ |
80656.a1 |
80656p1 |
80656.a |
80656p |
$1$ |
$1$ |
\( 2^{4} \cdot 71^{2} \) |
\( 2^{39} \cdot 71^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$4.069094917$ |
$1$ |
|
$4$ |
$39191040$ |
$3.588528$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$6.11857$ |
$[0, 0, 0, -211817779, 1181678241778]$ |
\(y^2=x^3-211817779x+1181678241778\) |
568.2.0.? |
$[(-16791, 65536)]$ |
90738.v1 |
90738bc1 |
90738.v |
90738bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 71^{2} \) |
\( 2^{27} \cdot 3^{6} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22861440$ |
$3.444687$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.90424$ |
$[1, -1, 1, -119147501, 498550295125]$ |
\(y^2+xy+y=x^3-x^2-119147501x+498550295125\) |
568.2.0.? |
$[]$ |
113600.a1 |
113600cg1 |
113600.a |
113600cg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 71 \) |
\( 2^{45} \cdot 5^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.608482$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.92823$ |
$[0, 0, 0, -4201900, -3301598000]$ |
\(y^2=x^3-4201900x-3301598000\) |
568.2.0.? |
$[]$ |
113600.cv1 |
113600bl1 |
113600.cv |
113600bl |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 71 \) |
\( 2^{45} \cdot 5^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7962624$ |
$2.608482$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.92823$ |
$[0, 0, 0, -4201900, 3301598000]$ |
\(y^2=x^3-4201900x+3301598000\) |
568.2.0.? |
$[]$ |
119422.d1 |
119422i1 |
119422.d |
119422i |
$1$ |
$1$ |
\( 2 \cdot 29^{2} \cdot 71 \) |
\( 2^{27} \cdot 29^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.474415116$ |
$1$ |
|
$4$ |
$8128512$ |
$2.447689$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.74211$ |
$[1, -1, 1, -2208624, 1258718931]$ |
\(y^2+xy+y=x^3-x^2-2208624x+1258718931\) |
568.2.0.? |
$[(573, 13169)]$ |
136462.a1 |
136462d1 |
136462.a |
136462d |
$1$ |
$1$ |
\( 2 \cdot 31^{2} \cdot 71 \) |
\( 2^{27} \cdot 31^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$27.46866667$ |
$1$ |
|
$0$ |
$9710280$ |
$2.481037$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.72246$ |
$[1, -1, 0, -2523766, -1536211340]$ |
\(y^2+xy=x^3-x^2-2523766x-1536211340\) |
568.2.0.? |
$[(-1579988647913/40487, 2850524389252255/40487)]$ |
137456.a1 |
137456a1 |
137456.a |
137456a |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 71 \) |
\( 2^{39} \cdot 11^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$4.590578287$ |
$1$ |
|
$2$ |
$8398080$ |
$2.656136$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.89716$ |
$[0, 0, 0, -5084299, 4394426938]$ |
\(y^2=x^3-5084299x+4394426938\) |
568.2.0.? |
$[(-209, 73810)]$ |
154638.e1 |
154638p1 |
154638.e |
154638p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 11^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$12.20291977$ |
$1$ |
|
$0$ |
$4898880$ |
$2.512295$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.70443$ |
$[1, -1, 0, -2859918, 1854613844]$ |
\(y^2+xy=x^3-x^2-2859918x+1854613844\) |
568.2.0.? |
$[(1520495/49, 1990834257/49)]$ |
173950.dr1 |
173950br1 |
173950.dr |
173950br |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 71 \) |
\( 2^{27} \cdot 5^{6} \cdot 7^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13685760$ |
$2.541718$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.68781$ |
$[1, -1, 1, -3217080, -2211008453]$ |
\(y^2+xy+y=x^3-x^2-3217080x-2211008453\) |
568.2.0.? |
$[]$ |
191984.a1 |
191984a1 |
191984.a |
191984a |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 71 \) |
\( 2^{39} \cdot 13^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$6.060562930$ |
$1$ |
|
$2$ |
$15956352$ |
$2.739662$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.84506$ |
$[0, 0, 0, -7101211, -7253610806]$ |
\(y^2=x^3-7101211x-7253610806\) |
568.2.0.? |
$[(-1481, 3862)]$ |
194398.s1 |
194398k1 |
194398.s |
194398k |
$1$ |
$1$ |
\( 2 \cdot 37^{2} \cdot 71 \) |
\( 2^{27} \cdot 37^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.259502681$ |
$1$ |
|
$0$ |
$16796160$ |
$2.569500$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.67241$ |
$[1, -1, 1, -3595251, 2613958867]$ |
\(y^2+xy+y=x^3-x^2-3595251x+2613958867\) |
568.2.0.? |
$[(5395/3, 692822/3)]$ |
215982.bh1 |
215982cm1 |
215982.bh |
215982cm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 13^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$54.31265583$ |
$1$ |
|
$0$ |
$9307872$ |
$2.595821$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.65807$ |
$[1, -1, 0, -3994431, -3059118451]$ |
\(y^2+xy=x^3-x^2-3994431x-3059118451\) |
568.2.0.? |
$[(-716886615057146219264935/24361886243, 30706952683239521544165120671719271/24361886243)]$ |
222656.g1 |
222656b1 |
222656.g |
222656b |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 71 \) |
\( 2^{45} \cdot 7^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$2.409480651$ |
$1$ |
|
$0$ |
$20528640$ |
$2.776718$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.82285$ |
$[0, 0, 0, -8235724, 9059584912]$ |
\(y^2=x^3-8235724x+9059584912\) |
568.2.0.? |
$[(16354/3, 262144/3)]$ |
222656.dx1 |
222656dy1 |
222656.dx |
222656dy |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 71 \) |
\( 2^{45} \cdot 7^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$105.8626102$ |
$1$ |
|
$0$ |
$20528640$ |
$2.776718$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.82285$ |
$[0, 0, 0, -8235724, -9059584912]$ |
\(y^2=x^3-8235724x-9059584912\) |
568.2.0.? |
$[(-33920888693412924982670442303789993767124470936/4508430711581861353791, 555568714060956209419097258692170177589891205500076982200942857596716/4508430711581861353791)]$ |
238702.a1 |
238702a1 |
238702.a |
238702a |
$1$ |
$1$ |
\( 2 \cdot 41^{2} \cdot 71 \) |
\( 2^{27} \cdot 41^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$13.18985673$ |
$1$ |
|
$0$ |
$21565440$ |
$2.620827$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.64468$ |
$[1, -1, 0, -4414621, 3556563589]$ |
\(y^2+xy=x^3-x^2-4414621x+3556563589\) |
568.2.0.? |
$[(30002275/167, 30932289579/167)]$ |
252050.w1 |
252050w1 |
252050.w |
252050w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{27} \cdot 5^{6} \cdot 71^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.917595106$ |
$1$ |
|
$4$ |
$209018880$ |
$3.700100$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.66568$ |
$[1, -1, 1, -330965280, -2307882574653]$ |
\(y^2+xy+y=x^3-x^2-330965280x-2307882574653\) |
568.2.0.? |
$[(22525, 1279233)]$ |
255600.x1 |
255600x1 |
255600.x |
255600x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 71 \) |
\( 2^{39} \cdot 3^{6} \cdot 5^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$2.811214$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.80265$ |
$[0, 0, 0, -9454275, 11142893250]$ |
\(y^2=x^3-9454275x+11142893250\) |
568.2.0.? |
$[]$ |
262558.c1 |
262558c1 |
262558.c |
262558c |
$1$ |
$1$ |
\( 2 \cdot 43^{2} \cdot 71 \) |
\( 2^{27} \cdot 43^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.896687479$ |
$1$ |
|
$4$ |
$26331480$ |
$2.644642$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.63212$ |
$[1, -1, 1, -4855821, -4100350923]$ |
\(y^2+xy+y=x^3-x^2-4855821x-4100350923\) |
568.2.0.? |
$[(-1265, 4728)]$ |
313678.g1 |
313678g1 |
313678.g |
313678g |
$1$ |
$1$ |
\( 2 \cdot 47^{2} \cdot 71 \) |
\( 2^{27} \cdot 47^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$110.4820477$ |
$1$ |
|
$0$ |
$34323912$ |
$2.689117$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.60918$ |
$[1, -1, 0, -5801248, -5354515456]$ |
\(y^2+xy=x^3-x^2-5801248x-5354515456\) |
568.2.0.? |
$[(-1778230252767168110595388056316474973323799581397/34928041598549295953619, 104542091117872636679354689179836096037272245367414511205743749867371502/34928041598549295953619)]$ |
322624.a1 |
322624a1 |
322624.a |
322624a |
$1$ |
$1$ |
\( 2^{6} \cdot 71^{2} \) |
\( 2^{45} \cdot 71^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$28.45490740$ |
$1$ |
|
$2$ |
$313528320$ |
$3.935104$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.77774$ |
$[0, 0, 0, -847271116, -9453425934224]$ |
\(y^2=x^3-847271116x-9453425934224\) |
568.2.0.? |
$[(-17395, 146189), (-866200/7, 3286732/7)]$ |
322624.bk1 |
322624bk1 |
322624.bk |
322624bk |
$1$ |
$1$ |
\( 2^{6} \cdot 71^{2} \) |
\( 2^{45} \cdot 71^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$25.19127868$ |
$1$ |
|
$0$ |
$313528320$ |
$3.935104$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.77774$ |
$[0, 0, 0, -847271116, 9453425934224]$ |
\(y^2=x^3-847271116x+9453425934224\) |
568.2.0.? |
$[(9907419064188946/748497, 9299738366537771515904/748497)]$ |
328304.z1 |
328304z1 |
328304.z |
328304z |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 71 \) |
\( 2^{39} \cdot 17^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$10.76378233$ |
$1$ |
|
$0$ |
$35831808$ |
$2.873795$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.76712$ |
$[0, 0, 0, -12143491, -16220750974]$ |
\(y^2=x^3-12143491x-16220750974\) |
568.2.0.? |
$[(269589961/195, 3737392316416/195)]$ |
369342.cd1 |
369342cd1 |
369342.cd |
369342cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 17^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20901888$ |
$2.729954$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.58868$ |
$[1, -1, 1, -6830714, -6841421639]$ |
\(y^2+xy+y=x^3-x^2-6830714x-6841421639\) |
568.2.0.? |
$[]$ |
398878.m1 |
398878m1 |
398878.m |
398878m |
$1$ |
$1$ |
\( 2 \cdot 53^{2} \cdot 71 \) |
\( 2^{27} \cdot 53^{6} \cdot 71 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.429919516$ |
$1$ |
|
$24$ |
$48522240$ |
$2.749187$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.57920$ |
$[1, -1, 1, -7376961, 7682031825]$ |
\(y^2+xy+y=x^3-x^2-7376961x+7682031825\) |
568.2.0.? |
$[(2743, 88516), (1895, 21524)]$ |
410096.u1 |
410096u1 |
410096.u |
410096u |
$1$ |
$1$ |
\( 2^{4} \cdot 19^{2} \cdot 71 \) |
\( 2^{39} \cdot 19^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$55847232$ |
$2.929409$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.73670$ |
$[0, 0, 0, -15168859, 22645660682]$ |
\(y^2=x^3-15168859x+22645660682\) |
568.2.0.? |
$[]$ |
429550.a1 |
429550a1 |
429550.a |
429550a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 71 \) |
\( 2^{27} \cdot 5^{6} \cdot 11^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$4.760562530$ |
$1$ |
|
$2$ |
$44789760$ |
$2.767708$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.57018$ |
$[1, -1, 0, -7944217, -8580879059]$ |
\(y^2+xy=x^3-x^2-7944217x-8580879059\) |
568.2.0.? |
$[(4799, 250188)]$ |
461358.d1 |
461358d1 |
461358.d |
461358d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 19^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$32577552$ |
$2.785568$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.56158$ |
$[1, -1, 0, -8532483, 9555771221]$ |
\(y^2+xy=x^3-x^2-8532483x+9555771221\) |
568.2.0.? |
$[]$ |
494018.a1 |
494018a1 |
494018.a |
494018a |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 71^{2} \) |
\( 2^{27} \cdot 7^{6} \cdot 71^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$9.758831786$ |
$1$ |
|
$0$ |
$538876800$ |
$3.868336$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.52885$ |
$[1, -1, 0, -648691948, 6333219000016]$ |
\(y^2+xy=x^3-x^2-648691948x+6333219000016\) |
568.2.0.? |
$[(3592269/5, 6699100712/5)]$ |
494302.m1 |
494302m1 |
494302.m |
494302m |
$1$ |
$1$ |
\( 2 \cdot 59^{2} \cdot 71 \) |
\( 2^{27} \cdot 59^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$67576032$ |
$2.802811$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$4.55336$ |
$[1, -1, 1, -9141759, -10592697305]$ |
\(y^2+xy+y=x^3-x^2-9141759x-10592697305\) |
568.2.0.? |
$[]$ |