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 |
1666.a1 |
1666h1 |
1666.a |
1666h |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$5.820922052$ |
$1$ |
|
$0$ |
$43680$ |
$2.042763$ |
$-164384733177/1140850688$ |
$1.05960$ |
$6.45023$ |
$[1, -1, 0, -74881, -28409795]$ |
\(y^2+xy=x^3-x^2-74881x-28409795\) |
68.2.0.a.1 |
$[(19602/7, 738305/7)]$ |
1666.h1 |
1666c1 |
1666.h |
1666c |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$2.144168461$ |
$1$ |
|
$0$ |
$6240$ |
$1.069809$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.87633$ |
$[1, -1, 0, -1528, 83264]$ |
\(y^2+xy=x^3-x^2-1528x+83264\) |
68.2.0.a.1 |
$[(-464/3, 4792/3)]$ |
13328.c1 |
13328l1 |
13328.c |
13328l |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$1.762957$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.68446$ |
$[0, 0, 0, -24451, -5304446]$ |
\(y^2=x^3-24451x-5304446\) |
68.2.0.a.1 |
$[]$ |
13328.z1 |
13328z1 |
13328.z |
13328z |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$1048320$ |
$2.735912$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.91377$ |
$[0, 0, 0, -1198099, 1819424978]$ |
\(y^2=x^3-1198099x+1819424978\) |
68.2.0.a.1 |
$[]$ |
14994.bv1 |
14994co1 |
14994.bv |
14994co |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$611520$ |
$2.592072$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.66181$ |
$[1, -1, 1, -673931, 767738395]$ |
\(y^2+xy+y=x^3-x^2-673931x+767738395\) |
68.2.0.a.1 |
$[]$ |
14994.cu1 |
14994cb1 |
14994.cu |
14994cb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87360$ |
$1.619116$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.44757$ |
$[1, -1, 1, -13754, -2234375]$ |
\(y^2+xy+y=x^3-x^2-13754x-2234375\) |
68.2.0.a.1 |
$[]$ |
28322.b1 |
28322c1 |
28322.b |
28322c |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{26} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.465911820$ |
$1$ |
|
$4$ |
$1797120$ |
$2.486416$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.18688$ |
$[1, -1, 0, -441646, 407309524]$ |
\(y^2+xy=x^3-x^2-441646x+407309524\) |
68.2.0.a.1 |
$[(940, 28202)]$ |
28322.l1 |
28322j1 |
28322.l |
28322j |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{26} \cdot 7^{10} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$12579840$ |
$3.459370$ |
$-164384733177/1140850688$ |
$1.05960$ |
$6.32580$ |
$[1, -1, 0, -21640663, -139663885411]$ |
\(y^2+xy=x^3-x^2-21640663x-139663885411\) |
68.2.0.a.1 |
$[]$ |
41650.bh1 |
41650bm1 |
41650.bh |
41650bm |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 5^{6} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.099954617$ |
$1$ |
|
$12$ |
$798720$ |
$1.874527$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.30853$ |
$[1, -1, 1, -38205, 10369797]$ |
\(y^2+xy+y=x^3-x^2-38205x+10369797\) |
68.2.0.a.1 |
$[(79, 2760)]$ |
41650.cm1 |
41650bx1 |
41650.cm |
41650bx |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 5^{6} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$5.094670436$ |
$1$ |
|
$0$ |
$5591040$ |
$2.847485$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.40616$ |
$[1, -1, 1, -1872030, -3553096403]$ |
\(y^2+xy+y=x^3-x^2-1872030x-3553096403\) |
68.2.0.a.1 |
$[(18241/3, 815825/3)]$ |
53312.b1 |
53312cn1 |
53312.b |
53312cn |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8386560$ |
$3.082485$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.54264$ |
$[0, 0, 0, -4792396, 14555399824]$ |
\(y^2=x^3-4792396x+14555399824\) |
68.2.0.a.1 |
$[]$ |
53312.e1 |
53312i1 |
53312.e |
53312i |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$4.710677419$ |
$1$ |
|
$0$ |
$1198080$ |
$2.109531$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.46991$ |
$[0, 0, 0, -97804, 42435568]$ |
\(y^2=x^3-97804x+42435568\) |
68.2.0.a.1 |
$[(-42866/11, 7602176/11)]$ |
53312.ck1 |
53312be1 |
53312.ck |
53312be |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$56.06411097$ |
$1$ |
|
$0$ |
$8386560$ |
$3.082485$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.54264$ |
$[0, 0, 0, -4792396, -14555399824]$ |
\(y^2=x^3-4792396x-14555399824\) |
68.2.0.a.1 |
$[(1023067204189545349105858990/575221080729, 2600140104492330389579193125335200956416/575221080729)]$ |
53312.cl1 |
53312bl1 |
53312.cl |
53312bl |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1198080$ |
$2.109531$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.46991$ |
$[0, 0, 0, -97804, -42435568]$ |
\(y^2=x^3-97804x-42435568\) |
68.2.0.a.1 |
$[]$ |
119952.bf1 |
119952fh1 |
119952.bf |
119952fh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 3^{6} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$14676480$ |
$3.285217$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.36633$ |
$[0, 0, 0, -10782891, -49124474406]$ |
\(y^2=x^3-10782891x-49124474406\) |
68.2.0.a.1 |
$[]$ |
119952.fh1 |
119952eb1 |
119952.fh |
119952eb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 3^{6} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$2.312263$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.36799$ |
$[0, 0, 0, -220059, 143220042]$ |
\(y^2=x^3-220059x+143220042\) |
68.2.0.a.1 |
$[]$ |
201586.bt1 |
201586b1 |
201586.bt |
201586b |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{10} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51979200$ |
$3.241711$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.09550$ |
$[1, -1, 1, -9060624, 37840618995]$ |
\(y^2+xy+y=x^3-x^2-9060624x+37840618995\) |
68.2.0.a.1 |
$[]$ |
201586.dq1 |
201586by1 |
201586.dq |
201586by |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{4} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7425600$ |
$2.268757$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.13959$ |
$[1, -1, 1, -184911, -110269673]$ |
\(y^2+xy+y=x^3-x^2-184911x-110269673\) |
68.2.0.a.1 |
$[]$ |
226576.b1 |
226576b1 |
226576.b |
226576b |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{38} \cdot 7^{10} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$8.284357824$ |
$1$ |
|
$0$ |
$301916160$ |
$4.152519$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.93358$ |
$[0, 0, 0, -346250611, 8938834916914]$ |
\(y^2=x^3-346250611x+8938834916914\) |
68.2.0.a.1 |
$[(-21335/2, 26087741/2)]$ |
226576.dm1 |
226576cj1 |
226576.dm |
226576cj |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{38} \cdot 7^{4} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$43130880$ |
$3.179562$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.98673$ |
$[0, 0, 0, -7066339, -26060743198]$ |
\(y^2=x^3-7066339x-26060743198\) |
68.2.0.a.1 |
$[]$ |
254898.ez1 |
254898ez1 |
254898.ez |
254898ez |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.402133798$ |
$1$ |
|
$6$ |
$25159680$ |
$3.035721$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.80089$ |
$[1, -1, 1, -3974816, -10993382333]$ |
\(y^2+xy+y=x^3-x^2-3974816x-10993382333\) |
68.2.0.a.1 |
$[(3005, 63233)]$ |
254898.hb1 |
254898hb1 |
254898.hb |
254898hb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{10} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$176117760$ |
$4.008675$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.73878$ |
$[1, -1, 1, -194765969, 3771119672065]$ |
\(y^2+xy+y=x^3-x^2-194765969x+3771119672065\) |
68.2.0.a.1 |
$[]$ |
281554.cd1 |
281554cd1 |
281554.cd |
281554cd |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{10} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98017920$ |
$3.325237$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.03971$ |
$[1, -1, 1, -12654921, -62454284343]$ |
\(y^2+xy+y=x^3-x^2-12654921x-62454284343\) |
68.2.0.a.1 |
$[]$ |
281554.ea1 |
281554ea1 |
281554.ea |
281554ea |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{26} \cdot 7^{4} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14002560$ |
$2.352283$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.10925$ |
$[1, -1, 1, -258264, 182156251]$ |
\(y^2+xy+y=x^3-x^2-258264x+182156251\) |
68.2.0.a.1 |
$[]$ |
333200.j1 |
333200j1 |
333200.j |
333200j |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 5^{6} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$12.87399876$ |
$1$ |
|
$0$ |
$134184960$ |
$3.540630$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.17622$ |
$[0, 0, 0, -29952475, 227428122250]$ |
\(y^2=x^3-29952475x+227428122250\) |
68.2.0.a.1 |
$[(-1387945/19, 3666549650/19)]$ |
333200.gy1 |
333200gy1 |
333200.gy |
333200gy |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{38} \cdot 5^{6} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$62.35373495$ |
$1$ |
|
$0$ |
$19169280$ |
$2.567677$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.25808$ |
$[0, 0, 0, -611275, -663055750]$ |
\(y^2=x^3-611275x-663055750\) |
68.2.0.a.1 |
$[(10915603520873500840004699815/1349568076527, 1128919070869457260326564460946513623838450/1349568076527)]$ |
374850.hk1 |
374850hk1 |
374850.hk |
374850hk |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{6} \cdot 5^{6} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$78274560$ |
$3.396790$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.99422$ |
$[1, -1, 0, -16848267, 95950451141]$ |
\(y^2+xy=x^3-x^2-16848267x+95950451141\) |
68.2.0.a.1 |
$[]$ |
374850.hn1 |
374850hn1 |
374850.hn |
374850hn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11182080$ |
$2.423836$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.08451$ |
$[1, -1, 0, -343842, -279640684]$ |
\(y^2+xy=x^3-x^2-343842x-279640684\) |
68.2.0.a.1 |
$[]$ |
479808.dd1 |
479808dd1 |
479808.dd |
479808dd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 3^{6} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$20.99946182$ |
$1$ |
|
$0$ |
$16773120$ |
$2.658836$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.22301$ |
$[0, 0, 0, -880236, -1145760336]$ |
\(y^2=x^3-880236x-1145760336\) |
68.2.0.a.1 |
$[(786390788614/15073, 661169679766913024/15073)]$ |
479808.ez1 |
479808ez1 |
479808.ez |
479808ez |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 3^{6} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16773120$ |
$2.658836$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.22301$ |
$[0, 0, 0, -880236, 1145760336]$ |
\(y^2=x^3-880236x+1145760336\) |
68.2.0.a.1 |
$[]$ |
479808.ng1 |
479808ng1 |
479808.ng |
479808ng |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 3^{6} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$35.49752548$ |
$1$ |
|
$0$ |
$117411840$ |
$3.631790$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.11555$ |
$[0, 0, 0, -43131564, 392995795248]$ |
\(y^2=x^3-43131564x+392995795248\) |
68.2.0.a.1 |
$[(-191095493305400186/12617635, 1337070421836489342235967488/12617635)]$ |
479808.pa1 |
479808pa1 |
479808.pa |
479808pa |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 3^{6} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$117411840$ |
$3.631790$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.11555$ |
$[0, 0, 0, -43131564, -392995795248]$ |
\(y^2=x^3-43131564x-392995795248\) |
68.2.0.a.1 |
$[]$ |