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 |
135240.a1 |
135240bq1 |
135240.a |
135240bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 7^{10} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9596160$ |
$2.936951$ |
$165490120517698816/230982890625$ |
$0.97776$ |
$5.23744$ |
$[0, -1, 0, -18911076, -31609055799]$ |
\(y^2=x^3-x^2-18911076x-31609055799\) |
690.2.0.? |
$[]$ |
135240.b1 |
135240ds1 |
135240.b |
135240ds |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$362880$ |
$1.157465$ |
$142476544/77625$ |
$0.96231$ |
$3.14136$ |
$[0, -1, 0, -4916, 33741]$ |
\(y^2=x^3-x^2-4916x+33741\) |
690.2.0.? |
$[]$ |
135240.c1 |
135240do3 |
135240.c |
135240do |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.433861$ |
$344577854816148242/2716875$ |
$0.95505$ |
$5.05139$ |
$[0, -1, 0, -9088536, 10549060236]$ |
\(y^2=x^3-x^2-9088536x+10549060236\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$ |
$[]$ |
135240.c2 |
135240do2 |
135240.c |
135240do |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1474560$ |
$2.087284$ |
$168591300897604/472410225$ |
$0.90609$ |
$4.34755$ |
$[0, -1, 0, -568416, 164737980]$ |
\(y^2=x^3-x^2-568416x+164737980\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 920.12.0.?, $\ldots$ |
$[]$ |
135240.c3 |
135240do4 |
135240.c |
135240do |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{12} \cdot 5 \cdot 7^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.433861$ |
$-18524646126002/146738831715$ |
$0.93768$ |
$4.44673$ |
$[0, -1, 0, -343016, 296461740]$ |
\(y^2=x^3-x^2-343016x+296461740\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 840.24.0.?, $\ldots$ |
$[]$ |
135240.c4 |
135240do1 |
135240.c |
135240do |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.740711$ |
$458891455696/264449745$ |
$0.93291$ |
$3.73030$ |
$[0, -1, 0, -49996, 295156]$ |
\(y^2=x^3-x^2-49996x+295156\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$ |
$[]$ |
135240.d1 |
135240br1 |
135240.d |
135240br |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 7^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3168000$ |
$2.485954$ |
$190737654201344/2245153696875$ |
$1.02276$ |
$4.49138$ |
$[0, -1, 0, 373119, -385911819]$ |
\(y^2=x^3-x^2+373119x-385911819\) |
230.2.0.? |
$[]$ |
135240.e1 |
135240bs5 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$12880$ |
$192$ |
$1$ |
$2.847799660$ |
$1$ |
|
$3$ |
$11010048$ |
$2.991611$ |
$155324313723954725282/13018359375$ |
$0.98179$ |
$5.56862$ |
$[0, -1, 0, -69685856, 223928874156]$ |
\(y^2=x^3-x^2-69685856x+223928874156\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 28.12.0-4.c.1.1, 56.48.0-56.bh.1.6, $\ldots$ |
$[(4793, 3234)]$ |
135240.e2 |
135240bs4 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{16} \cdot 5 \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$12880$ |
$192$ |
$1$ |
$5.695599321$ |
$4$ |
$2$ |
$3$ |
$5505024$ |
$2.645039$ |
$198048499826486404/242568272835$ |
$0.94879$ |
$4.94585$ |
$[0, -1, 0, -5997616, -5645498564]$ |
\(y^2=x^3-x^2-5997616x-5645498564\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[(4478, 239316)]$ |
135240.e3 |
135240bs3 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$6440$ |
$192$ |
$1$ |
$5.695599321$ |
$1$ |
|
$5$ |
$5505024$ |
$2.645039$ |
$76343005935514084/694180580625$ |
$0.94393$ |
$4.86516$ |
$[0, -1, 0, -4364936, 3483833340]$ |
\(y^2=x^3-x^2-4364936x+3483833340\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 28.24.0-4.b.1.1, 40.48.0-40.h.1.20, $\ldots$ |
$[(4318, 255200)]$ |
135240.e4 |
135240bs6 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$12880$ |
$192$ |
$1$ |
$11.39119864$ |
$1$ |
|
$1$ |
$11010048$ |
$2.991611$ |
$-957928673903042/123339801817575$ |
$0.99634$ |
$5.01111$ |
$[0, -1, 0, -1277936, 8313136140]$ |
\(y^2=x^3-x^2-1277936x+8313136140\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 28.12.0-4.c.1.1, 40.48.0-40.ca.2.12, $\ldots$ |
$[(66001/4, 17317553/4)]$ |
135240.e5 |
135240bs2 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$6440$ |
$192$ |
$1$ |
$2.847799660$ |
$1$ |
|
$9$ |
$2752512$ |
$2.298462$ |
$394315384276816/208332909225$ |
$0.93560$ |
$4.30213$ |
$[0, -1, 0, -475316, -37050684]$ |
\(y^2=x^3-x^2-475316x-37050684\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 28.24.0-4.b.1.3, 40.48.0-40.h.2.5, $\ldots$ |
$[(-484, 8910)]$ |
135240.e6 |
135240bs1 |
135240.e |
135240bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 7^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$12880$ |
$192$ |
$1$ |
$5.695599321$ |
$1$ |
|
$3$ |
$1376256$ |
$1.951889$ |
$84611246065664/53699121315$ |
$0.95189$ |
$3.93719$ |
$[0, -1, 0, 112929, -4579560]$ |
\(y^2=x^3-x^2+112929x-4579560\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[(161, 4213)]$ |
135240.f1 |
135240ca1 |
135240.f |
135240ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2822400$ |
$2.318699$ |
$4333978732996864/7820156745$ |
$0.93917$ |
$4.59975$ |
$[0, -1, 0, -1534696, 731151961]$ |
\(y^2=x^3-x^2-1534696x+731151961\) |
690.2.0.? |
$[]$ |
135240.g1 |
135240bt2 |
135240.g |
135240bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40550400$ |
$3.691669$ |
$933681761518863863522/467721356521811175$ |
$1.00961$ |
$5.72043$ |
$[0, -1, 0, -126706176, 201274080876]$ |
\(y^2=x^3-x^2-126706176x+201274080876\) |
2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.? |
$[]$ |
135240.g2 |
135240bt1 |
135240.g |
135240bt |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20275200$ |
$3.345097$ |
$998988730325355742564/917843977003905$ |
$0.98627$ |
$5.66748$ |
$[0, -1, 0, -102858856, 401238628540]$ |
\(y^2=x^3-x^2-102858856x+401238628540\) |
2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.? |
$[]$ |
135240.h1 |
135240dt1 |
135240.h |
135240dt |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$3.063082981$ |
$1$ |
|
$2$ |
$283392$ |
$1.266108$ |
$57671086256/44348715$ |
$0.89277$ |
$3.22535$ |
$[0, -1, 0, 6844, 122676]$ |
\(y^2=x^3-x^2+6844x+122676\) |
230.2.0.? |
$[(170, 2484)]$ |
135240.i1 |
135240bu2 |
135240.i |
135240bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1949696$ |
$2.174412$ |
$31362635054/17353845$ |
$0.92028$ |
$4.17330$ |
$[0, -1, 0, -286176, 12434220]$ |
\(y^2=x^3-x^2-286176x+12434220\) |
2.3.0.a.1, 280.6.0.?, 644.6.0.?, 920.6.0.?, 6440.12.0.? |
$[]$ |
135240.i2 |
135240bu1 |
135240.i |
135240bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$974848$ |
$1.827839$ |
$27566165308/46575$ |
$0.85854$ |
$4.10371$ |
$[0, -1, 0, -217576, 39078460]$ |
\(y^2=x^3-x^2-217576x+39078460\) |
2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.? |
$[]$ |
135240.j1 |
135240bv1 |
135240.j |
135240bv |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$552$ |
$2$ |
$0$ |
$8.687489300$ |
$1$ |
|
$0$ |
$387072$ |
$1.334366$ |
$98010576958/665230725$ |
$0.91684$ |
$3.31767$ |
$[0, -1, 0, 4464, -377460]$ |
\(y^2=x^3-x^2+4464x-377460\) |
552.2.0.? |
$[(9977/8, 1034515/8)]$ |
135240.k1 |
135240bw2 |
135240.k |
135240bw |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$15.31796076$ |
$1$ |
|
$1$ |
$8110080$ |
$2.817371$ |
$7536914291382802562/17961229575$ |
$1.01404$ |
$5.31252$ |
$[0, -1, 0, -25417296, -49313592180]$ |
\(y^2=x^3-x^2-25417296x-49313592180\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(-374806279/359, 11069076578/359)]$ |
135240.k2 |
135240bw1 |
135240.k |
135240bw |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5 \cdot 7^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$30.63592152$ |
$1$ |
|
$1$ |
$4055040$ |
$2.470798$ |
$-3552342505518244/179863605135$ |
$0.97850$ |
$4.61262$ |
$[0, -1, 0, -1569976, -789065444]$ |
\(y^2=x^3-x^2-1569976x-789065444\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(133284081513537/104828, 1530109058149316815303/104828)]$ |
135240.l1 |
135240dp1 |
135240.l |
135240dp |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4459392$ |
$2.560429$ |
$-7944888964096/1309921875$ |
$0.93213$ |
$4.65166$ |
$[0, -1, 0, -1731921, -993856779]$ |
\(y^2=x^3-x^2-1731921x-993856779\) |
230.2.0.? |
$[]$ |
135240.m1 |
135240bx1 |
135240.m |
135240bx |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37632$ |
$0.286073$ |
$538967296/251505$ |
$0.80376$ |
$2.26576$ |
$[0, -1, 0, -156, -279]$ |
\(y^2=x^3-x^2-156x-279\) |
690.2.0.? |
$[]$ |
135240.n1 |
135240dq3 |
135240.n |
135240dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{3} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$2.389394585$ |
$1$ |
|
$5$ |
$4718592$ |
$2.422077$ |
$3183636045638162/19833730875$ |
$0.92979$ |
$4.65491$ |
$[0, -1, 0, -1907096, 1008859020]$ |
\(y^2=x^3-x^2-1907096x+1008859020\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(1489, 38318)]$ |
135240.n2 |
135240dq2 |
135240.n |
135240dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$19320$ |
$48$ |
$0$ |
$4.778789171$ |
$1$ |
|
$7$ |
$2359296$ |
$2.075504$ |
$6507178816324/3645140625$ |
$0.93125$ |
$4.07208$ |
$[0, -1, 0, -192096, -5734980]$ |
\(y^2=x^3-x^2-192096x-5734980\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 1380.12.0.?, $\ldots$ |
$[(-414, 1632)]$ |
135240.n3 |
135240dq1 |
135240.n |
135240dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3 \cdot 5^{3} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$19320$ |
$48$ |
$0$ |
$9.557578342$ |
$1$ |
|
$1$ |
$1179648$ |
$1.728931$ |
$10981797946576/20708625$ |
$0.87374$ |
$3.99904$ |
$[0, -1, 0, -144076, -20966924]$ |
\(y^2=x^3-x^2-144076x-20966924\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(-65058/17, 438752/17)]$ |
135240.n4 |
135240dq4 |
135240.n |
135240dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3 \cdot 5^{12} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$9.557578342$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.422077$ |
$197209449637198/117919921875$ |
$0.95904$ |
$4.41949$ |
$[0, -1, 0, 754584, -46252884]$ |
\(y^2=x^3-x^2+754584x-46252884\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 1932.12.0.?, $\ldots$ |
$[(1265/4, 238561/4)]$ |
135240.o1 |
135240by4 |
135240.o |
135240by |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3932160$ |
$2.466202$ |
$273629163383866082/26408025$ |
$1.01697$ |
$5.03188$ |
$[0, -1, 0, -8416256, -9395001300]$ |
\(y^2=x^3-x^2-8416256x-9395001300\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 1288.48.0.? |
$[]$ |
135240.o2 |
135240by3 |
135240.o |
135240by |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3932160$ |
$2.466202$ |
$372749784765122/194143359375$ |
$1.12387$ |
$4.47337$ |
$[0, -1, 0, -932976, 109990476]$ |
\(y^2=x^3-x^2-932976x+109990476\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[]$ |
135240.o3 |
135240by2 |
135240.o |
135240by |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1966080$ |
$2.119629$ |
$134555337776164/1312250625$ |
$0.90465$ |
$4.32846$ |
$[0, -1, 0, -527256, -145937700]$ |
\(y^2=x^3-x^2-527256x-145937700\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 184.24.0.?, 1288.48.0.? |
$[]$ |
135240.o4 |
135240by1 |
135240.o |
135240by |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$1.773054$ |
$-2533446736/440749575$ |
$0.90834$ |
$3.77346$ |
$[0, -1, 0, -8836, -5549564]$ |
\(y^2=x^3-x^2-8836x-5549564\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$ |
$[]$ |
135240.p1 |
135240dr2 |
135240.p |
135240dr |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{5} \cdot 7^{9} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$23224320$ |
$3.425274$ |
$264527137402013054/37471584403125$ |
$0.98014$ |
$5.52311$ |
$[0, -1, 0, -58253176, -148698854324]$ |
\(y^2=x^3-x^2-58253176x-148698854324\) |
2.3.0.a.1, 280.6.0.?, 644.6.0.?, 920.6.0.?, 6440.12.0.? |
$[]$ |
135240.p2 |
135240dr1 |
135240.p |
135240dr |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 7^{9} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11612160$ |
$3.078701$ |
$9733205763526108/1069365234375$ |
$0.95939$ |
$5.18493$ |
$[0, -1, 0, -15378176, 20897495676]$ |
\(y^2=x^3-x^2-15378176x+20897495676\) |
2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.? |
$[]$ |
135240.q1 |
135240du1 |
135240.q |
135240du |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{5} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$2.109074$ |
$315298651136/471571875$ |
$0.90401$ |
$4.06689$ |
$[0, -1, 0, 161439, 31372965]$ |
\(y^2=x^3-x^2+161439x+31372965\) |
230.2.0.? |
$[]$ |
135240.r1 |
135240bz1 |
135240.r |
135240bz |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1.049693698$ |
$1$ |
|
$4$ |
$21120$ |
$-0.267511$ |
$614656/345$ |
$0.81036$ |
$1.69222$ |
$[0, -1, 0, -16, 1]$ |
\(y^2=x^3-x^2-16x+1\) |
690.2.0.? |
$[(0, 1)]$ |
135240.s1 |
135240cb1 |
135240.s |
135240cb |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$0.643785490$ |
$1$ |
|
$4$ |
$67968$ |
$0.414618$ |
$34420736/25875$ |
$0.92956$ |
$2.36232$ |
$[0, -1, 0, 229, -804]$ |
\(y^2=x^3-x^2+229x-804\) |
230.2.0.? |
$[(5, 21)]$ |
135240.t1 |
135240bb1 |
135240.t |
135240bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$253440$ |
$1.071703$ |
$-3525581824/9315$ |
$0.87105$ |
$3.31859$ |
$[0, -1, 0, -9865, -374723]$ |
\(y^2=x^3-x^2-9865x-374723\) |
230.2.0.? |
$[]$ |
135240.u1 |
135240da1 |
135240.u |
135240da |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.241323$ |
$46689225424/36225$ |
$0.81798$ |
$3.53687$ |
$[0, -1, 0, -23340, -1363788]$ |
\(y^2=x^3-x^2-23340x-1363788\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
135240.u2 |
135240da2 |
135240.u |
135240da |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.587896$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.59752$ |
$[0, -1, 0, -18440, -1957668]$ |
\(y^2=x^3-x^2-18440x-1957668\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
135240.v1 |
135240bc1 |
135240.v |
135240bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$0.513579287$ |
$1$ |
|
$9$ |
$98304$ |
$0.655814$ |
$362642992/198375$ |
$0.83965$ |
$2.63160$ |
$[0, -1, 0, -660, -1308]$ |
\(y^2=x^3-x^2-660x-1308\) |
2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.? |
$[(-16, 70)]$ |
135240.v2 |
135240bc2 |
135240.v |
135240bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1.027158574$ |
$1$ |
|
$5$ |
$196608$ |
$1.002388$ |
$5280558692/3234375$ |
$0.89264$ |
$2.97563$ |
$[0, -1, 0, 2560, -12900]$ |
\(y^2=x^3-x^2+2560x-12900\) |
2.3.0.a.1, 420.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.? |
$[(30, 300)]$ |
135240.w1 |
135240bl1 |
135240.w |
135240bl |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$690$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1296000$ |
$1.918278$ |
$12935231577733647616/698625$ |
$0.99795$ |
$4.61816$ |
$[0, -1, 0, -1650140, -815335863]$ |
\(y^2=x^3-x^2-1650140x-815335863\) |
690.2.0.? |
$[]$ |
135240.x1 |
135240bm1 |
135240.x |
135240bm |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$263424$ |
$1.115103$ |
$-33685456/1035$ |
$0.73084$ |
$3.25835$ |
$[0, -1, 0, -7660, -262268]$ |
\(y^2=x^3-x^2-7660x-262268\) |
230.2.0.? |
$[]$ |
135240.y1 |
135240db1 |
135240.y |
135240db |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.149601$ |
$13745695765783090269904/148545140625$ |
$0.99077$ |
$5.77205$ |
$[0, -1, 0, -155271020, 744755814132]$ |
\(y^2=x^3-x^2-155271020x+744755814132\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
135240.y2 |
135240db2 |
135240.y |
135240db |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{20} \cdot 5^{3} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$3.496178$ |
$-3428296927707108677476/11297617307290125$ |
$0.99082$ |
$5.77233$ |
$[0, -1, 0, -155148520, 745989487132]$ |
\(y^2=x^3-x^2-155148520x+745989487132\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
135240.z1 |
135240bd2 |
135240.z |
135240bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.877529$ |
$418257395996078018/8023271484375$ |
$0.95638$ |
$5.06779$ |
$[0, -1, 0, -9694960, -11421533108]$ |
\(y^2=x^3-x^2-9694960x-11421533108\) |
2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.? |
$[]$ |
135240.z2 |
135240bd1 |
135240.z |
135240bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.530956$ |
$824899990643380516/312440625$ |
$0.95593$ |
$5.06661$ |
$[0, -1, 0, -9649880, -11534792100]$ |
\(y^2=x^3-x^2-9649880x-11534792100\) |
2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.? |
$[]$ |
135240.ba1 |
135240dj1 |
135240.ba |
135240dj |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$551040$ |
$1.617344$ |
$-226698766336/6790635$ |
$0.88058$ |
$3.76961$ |
$[0, -1, 0, -57395, -5408640]$ |
\(y^2=x^3-x^2-57395x-5408640\) |
230.2.0.? |
$[]$ |
135240.bb1 |
135240dc1 |
135240.bb |
135240dc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1.996159636$ |
$1$ |
|
$10$ |
$131328$ |
$0.794645$ |
$-30596356/2095875$ |
$0.88046$ |
$2.77972$ |
$[0, -1, 0, -240, -15588]$ |
\(y^2=x^3-x^2-240x-15588\) |
230.2.0.? |
$[(42, 216), (69, 540)]$ |