| 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 |
| 69360.a1 |
69360i2 |
69360.a |
69360i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.286658130$ |
$1$ |
|
$5$ |
$30720$ |
$0.325942$ |
$7304528/45$ |
$0.83151$ |
$2.67773$ |
$[0, -1, 0, -436, -3344]$ |
\(y^2=x^3-x^2-436x-3344\) |
2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-12, 4)]$ |
| 69360.a2 |
69360i1 |
69360.a |
69360i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.573316261$ |
$1$ |
|
$3$ |
$15360$ |
$-0.020632$ |
$-2048/75$ |
$0.88377$ |
$2.06872$ |
$[0, -1, 0, -11, -114]$ |
\(y^2=x^3-x^2-11x-114\) |
2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(10, 26)]$ |
| 69360.b1 |
69360j4 |
69360.b |
69360j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$17.26959678$ |
$1$ |
|
$1$ |
$2654208$ |
$2.625889$ |
$50700519510140162/2295$ |
$1.00161$ |
$5.65966$ |
$[0, -1, 0, -28298976, -57933997344]$ |
\(y^2=x^3-x^2-28298976x-57933997344\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[(31110377/13, 173449598408/13)]$ |
| 69360.b2 |
69360j3 |
69360.b |
69360j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$4.317399195$ |
$1$ |
|
$3$ |
$2654208$ |
$2.625889$ |
$16981825082402/5646560625$ |
$0.97239$ |
$4.94184$ |
$[0, -1, 0, -1965296, -691022880]$ |
\(y^2=x^3-x^2-1965296x-691022880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 68.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(4426, 278018)]$ |
| 69360.b3 |
69360j2 |
69360.b |
69360j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$8.634798391$ |
$1$ |
|
$5$ |
$1327104$ |
$2.279312$ |
$24759905519524/5267025$ |
$0.95694$ |
$4.91349$ |
$[0, -1, 0, -1768776, -904679424]$ |
\(y^2=x^3-x^2-1768776x-904679424\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.b.1, 68.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(184056, 78960960)]$ |
| 69360.b4 |
69360j1 |
69360.b |
69360j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2040$ |
$48$ |
$0$ |
$17.26959678$ |
$1$ |
|
$1$ |
$663552$ |
$1.932741$ |
$-17029316176/11275335$ |
$0.90021$ |
$4.20428$ |
$[0, -1, 0, -98356, -17352320]$ |
\(y^2=x^3-x^2-98356x-17352320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(62993436/37, 499951759424/37)]$ |
| 69360.c1 |
69360ci1 |
69360.c |
69360ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{10} \cdot 5^{7} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43182720$ |
$4.104759$ |
$-29036780124540841/590490000000$ |
$1.05534$ |
$6.69161$ |
$[0, -1, 0, -1294269256, 18234547490800]$ |
\(y^2=x^3-x^2-1294269256x+18234547490800\) |
40.2.0.a.1 |
$[]$ |
| 69360.d1 |
69360g1 |
69360.d |
69360g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1.131131930$ |
$1$ |
|
$2$ |
$55296$ |
$0.788447$ |
$-256/255$ |
$0.82958$ |
$2.93965$ |
$[0, -1, 0, -96, 15135]$ |
\(y^2=x^3-x^2-96x+15135\) |
510.2.0.? |
$[(91, 867)]$ |
| 69360.e1 |
69360cm1 |
69360.e |
69360cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{23} \cdot 3^{2} \cdot 5^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$14.88765448$ |
$1$ |
|
$0$ |
$3231360$ |
$2.750015$ |
$34822511/57600000$ |
$1.06670$ |
$5.05127$ |
$[0, -1, 0, 207984, -1951571520]$ |
\(y^2=x^3-x^2+207984x-1951571520\) |
40.2.0.a.1 |
$[(9710586/23, 30263687274/23)]$ |
| 69360.f1 |
69360ch1 |
69360.f |
69360ch |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.890606$ |
$-12872772702976/3984375$ |
$0.94778$ |
$4.48177$ |
$[0, -1, 0, -355566, -81510609]$ |
\(y^2=x^3-x^2-355566x-81510609\) |
510.2.0.? |
$[]$ |
| 69360.g1 |
69360cj1 |
69360.g |
69360cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$646272$ |
$1.929039$ |
$-4734976/1875$ |
$0.96959$ |
$4.21605$ |
$[0, -1, 0, -111361, 18600436]$ |
\(y^2=x^3-x^2-111361x+18600436\) |
6.2.0.a.1 |
$[]$ |
| 69360.h1 |
69360m1 |
69360.h |
69360m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$1.850689$ |
$85525504/10125$ |
$1.07081$ |
$4.16928$ |
$[0, -1, 0, -111361, -12719939]$ |
\(y^2=x^3-x^2-111361x-12719939\) |
10.2.0.a.1 |
$[]$ |
| 69360.i1 |
69360cl2 |
69360.i |
69360cl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$5.522509981$ |
$1$ |
|
$0$ |
$1492992$ |
$2.377380$ |
$17968412610002944/158203125$ |
$1.13557$ |
$5.12045$ |
$[0, -1, 0, -3816341, 2870834205]$ |
\(y^2=x^3-x^2-3816341x+2870834205\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.2, 30.8.0.a.1, 60.16.0-30.a.1.4 |
$[(4445/2, 7785/2)]$ |
| 69360.i2 |
69360cl1 |
69360.i |
69360cl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1.840836660$ |
$1$ |
|
$0$ |
$497664$ |
$1.828075$ |
$115220905984/66430125$ |
$1.23689$ |
$4.04777$ |
$[0, -1, 0, -70901, -420099]$ |
\(y^2=x^3-x^2-70901x-420099\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.1, 30.8.0.a.1, 60.16.0-30.a.1.1 |
$[(-163/2, 12393/2)]$ |
| 69360.j1 |
69360l1 |
69360.j |
69360l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{17} \cdot 5^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3329280$ |
$2.924755$ |
$-44103737752144/3228504075$ |
$0.98438$ |
$5.35994$ |
$[0, -1, 0, -8930196, -10898969904]$ |
\(y^2=x^3-x^2-8930196x-10898969904\) |
6.2.0.a.1 |
$[]$ |
| 69360.k1 |
69360c1 |
69360.k |
69360c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.218048515$ |
$1$ |
|
$2$ |
$10368$ |
$-0.072870$ |
$-34816/675$ |
$0.88216$ |
$2.01289$ |
$[0, -1, 0, -11, 90]$ |
\(y^2=x^3-x^2-11x+90\) |
6.2.0.a.1 |
$[(-2, 10)]$ |
| 69360.l1 |
69360cd1 |
69360.l |
69360cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.136047$ |
$112377856/6885$ |
$0.88146$ |
$3.43671$ |
$[0, -1, 0, -7321, 230440]$ |
\(y^2=x^3-x^2-7321x+230440\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 170.6.0.?, 340.24.0.?, $\ldots$ |
$[]$ |
| 69360.l2 |
69360cd2 |
69360.l |
69360cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.482620$ |
$3286064/65025$ |
$0.86717$ |
$3.68277$ |
$[0, -1, 0, 5684, 948316]$ |
\(y^2=x^3-x^2+5684x+948316\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 340.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 69360.m1 |
69360k1 |
69360.m |
69360k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1175040$ |
$2.222073$ |
$203622820864/28125$ |
$1.05941$ |
$4.86679$ |
$[0, -1, 0, -1487001, -697356315]$ |
\(y^2=x^3-x^2-1487001x-697356315\) |
10.2.0.a.1 |
$[]$ |
| 69360.n1 |
69360cc8 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$8160$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$11$ |
$1310720$ |
$2.400623$ |
$1114544804970241/405$ |
$1.07354$ |
$5.37938$ |
$[0, -1, 0, -9987936, 12152923200]$ |
\(y^2=x^3-x^2-9987936x+12152923200\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(1824, 72), (-984, 145008)]$ |
| 69360.n2 |
69360cc6 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$4080$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$21$ |
$655360$ |
$2.054050$ |
$272223782641/164025$ |
$1.03897$ |
$4.63323$ |
$[0, -1, 0, -624336, 189987840]$ |
\(y^2=x^3-x^2-624336x+189987840\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[(176, 9248), (546, 3402)]$ |
| 69360.n3 |
69360cc7 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$8160$ |
$768$ |
$13$ |
$21.20615217$ |
$1$ |
|
$5$ |
$1310720$ |
$2.400623$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.69115$ |
$[0, -1, 0, -508736, 262399680]$ |
\(y^2=x^3-x^2-508736x+262399680\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(261, 12138), (6106/3, 408646/3)]$ |
| 69360.n4 |
69360cc4 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$8160$ |
$768$ |
$13$ |
$21.20615217$ |
$1$ |
|
$7$ |
$327680$ |
$1.707476$ |
$56667352321/15$ |
$1.03019$ |
$4.49244$ |
$[0, -1, 0, -370016, -86508864]$ |
\(y^2=x^3-x^2-370016x-86508864\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(2250, 102306), (4273, 276284)]$ |
| 69360.n5 |
69360cc3 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$4080$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$19$ |
$327680$ |
$1.707476$ |
$111284641/50625$ |
$1.02534$ |
$3.93329$ |
$[0, -1, 0, -46336, 1791040]$ |
\(y^2=x^3-x^2-46336x+1791040\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[(-96, 2312), (24, 832)]$ |
| 69360.n6 |
69360cc2 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$4080$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$21$ |
$163840$ |
$1.360903$ |
$13997521/225$ |
$0.96230$ |
$3.74730$ |
$[0, -1, 0, -23216, -1334784]$ |
\(y^2=x^3-x^2-23216x-1334784\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(-94, 90), (-80, 64)]$ |
| 69360.n7 |
69360cc1 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$8160$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$9$ |
$81920$ |
$1.014330$ |
$-1/15$ |
$1.19808$ |
$3.18289$ |
$[0, -1, 0, -96, -58560]$ |
\(y^2=x^3-x^2-96x-58560\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(74, 578), (4474/3, 298826/3)]$ |
| 69360.n8 |
69360cc5 |
69360.n |
69360cc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$8160$ |
$768$ |
$13$ |
$5.301538042$ |
$1$ |
|
$13$ |
$655360$ |
$2.054050$ |
$4733169839/3515625$ |
$1.05585$ |
$4.26973$ |
$[0, -1, 0, 161744, 13277056]$ |
\(y^2=x^3-x^2+161744x+13277056\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 68.24.0-4.d.1.1, $\ldots$ |
$[(-62, 1734), (210, 7514)]$ |
| 69360.o1 |
69360bz2 |
69360.o |
69360bz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$365568$ |
$1.721653$ |
$2382032/75$ |
$0.80941$ |
$4.10221$ |
$[0, -1, 0, -86796, 9599820]$ |
\(y^2=x^3-x^2-86796x+9599820\) |
2.3.0.a.1, 60.6.0.e.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 69360.o2 |
69360bz1 |
69360.o |
69360bz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$182784$ |
$1.375080$ |
$131072/45$ |
$0.93207$ |
$3.59332$ |
$[0, -1, 0, -13101, -363744]$ |
\(y^2=x^3-x^2-13101x-363744\) |
2.3.0.a.1, 60.6.0.e.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 69360.p1 |
69360a4 |
69360.p |
69360a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1360$ |
$192$ |
$3$ |
$6.231262094$ |
$1$ |
|
$3$ |
$1769472$ |
$2.520771$ |
$6913728144004/3658971285$ |
$0.98918$ |
$4.79905$ |
$[0, -1, 0, -1156096, 140275216]$ |
\(y^2=x^3-x^2-1156096x+140275216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(-672, 24764)]$ |
| 69360.p2 |
69360a2 |
69360.p |
69360a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$680$ |
$192$ |
$3$ |
$12.46252418$ |
$1$ |
|
$3$ |
$884736$ |
$2.174198$ |
$5258429611216/47403225$ |
$0.93621$ |
$4.65013$ |
$[0, -1, 0, -664796, -206779104]$ |
\(y^2=x^3-x^2-664796x-206779104\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0-4.a.1.2, 40.48.0-8.g.1.4, $\ldots$ |
$[(-756020/41, 70187216/41)]$ |
| 69360.p3 |
69360a1 |
69360.p |
69360a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1360$ |
$192$ |
$3$ |
$24.92504837$ |
$1$ |
|
$1$ |
$442368$ |
$1.827623$ |
$83587439220736/6885$ |
$1.05748$ |
$4.64954$ |
$[0, -1, 0, -663351, -207731070]$ |
\(y^2=x^3-x^2-663351x-207731070\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(888150875489/22952, 711548998247152241/22952)]$ |
| 69360.p4 |
69360a3 |
69360.p |
69360a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1360$ |
$192$ |
$3$ |
$6.231262094$ |
$1$ |
|
$3$ |
$1769472$ |
$2.520771$ |
$-34008619684/4228250625$ |
$1.00942$ |
$4.80442$ |
$[0, -1, 0, -196616, -492930720]$ |
\(y^2=x^3-x^2-196616x-492930720\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.0-4.c.1.2, 68.48.0-4.c.1.1, 680.96.1.?, $\ldots$ |
$[(25421, 4052358)]$ |
| 69360.q1 |
69360cb8 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{13} \cdot 3^{16} \cdot 5^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.258 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$3.596493$ |
$161572377633716256481/914742821250$ |
$1.03379$ |
$6.44551$ |
$[0, -1, 0, -524685376, 4626055605376]$ |
\(y^2=x^3-x^2-524685376x+4626055605376\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 16.96.0-16.x.1.4, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 69360.q2 |
69360cb4 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3 \cdot 5 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.80 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3538944$ |
$2.903347$ |
$1139466686381936641/4080$ |
$1.01700$ |
$6.00105$ |
$[0, -1, 0, -100618336, -388442119424]$ |
\(y^2=x^3-x^2-100618336x-388442119424\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 32.96.0-32.e.2.16, $\ldots$ |
$[]$ |
| 69360.q3 |
69360cb6 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.126 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7077888$ |
$3.249920$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.70415$ |
$[0, -1, 0, -33385376, 69542885376]$ |
\(y^2=x^3-x^2-33385376x+69542885376\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.8, 68.24.0-4.b.1.3, 136.192.1.?, $\ldots$ |
$[]$ |
| 69360.q4 |
69360cb3 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.93 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$3538944$ |
$2.903347$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.27026$ |
$[0, -1, 0, -6658656, -5313312000]$ |
\(y^2=x^3-x^2-6658656x-5313312000\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.10, 68.48.0-4.b.1.1, 120.192.1.?, $\ldots$ |
$[]$ |
| 69360.q5 |
69360cb2 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.62 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1769472$ |
$2.556774$ |
$278202094583041/16646400$ |
$0.97964$ |
$5.25487$ |
$[0, -1, 0, -6288736, -6067652864]$ |
\(y^2=x^3-x^2-6288736x-6067652864\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.11, 16.96.0-16.d.1.11, 60.24.0-4.b.1.2, $\ldots$ |
$[]$ |
| 69360.q6 |
69360cb1 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{28} \cdot 3 \cdot 5 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.80 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$884736$ |
$2.210201$ |
$-56667352321/16711680$ |
$1.00176$ |
$4.52939$ |
$[0, -1, 0, -370016, -106318080]$ |
\(y^2=x^3-x^2-370016x-106318080\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 32.96.0-32.e.2.16, $\ldots$ |
$[]$ |
| 69360.q7 |
69360cb5 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.210 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7077888$ |
$3.249920$ |
$3168685387909439/6278181696900$ |
$1.01379$ |
$5.55253$ |
$[0, -1, 0, 14149344, -31897612800]$ |
\(y^2=x^3-x^2+14149344x-31897612800\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.5, 60.24.0.h.1, $\ldots$ |
$[]$ |
| 69360.q8 |
69360cb7 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{16} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.301 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$3.596493$ |
$31077313442863199/420227050781250$ |
$1.04291$ |
$5.95671$ |
$[0, -1, 0, 30287104, 303399169920]$ |
\(y^2=x^3-x^2+30287104x+303399169920\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.3, 16.96.0-16.u.1.4, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 69360.r1 |
69360ca2 |
69360.r |
69360ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$307200$ |
$1.600452$ |
$339630096833/47239200$ |
$0.99048$ |
$3.89058$ |
$[0, -1, 0, -39536, -2624064]$ |
\(y^2=x^3-x^2-39536x-2624064\) |
2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.? |
$[]$ |
| 69360.r2 |
69360ca1 |
69360.r |
69360ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{22} \cdot 3^{5} \cdot 5 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$153600$ |
$1.253880$ |
$347428927/1244160$ |
$0.97546$ |
$3.42062$ |
$[0, -1, 0, 3984, -221760]$ |
\(y^2=x^3-x^2+3984x-221760\) |
2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.? |
$[]$ |
| 69360.s1 |
69360b1 |
69360.s |
69360b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{21} \cdot 5^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$24.01445193$ |
$1$ |
|
$0$ |
$10967040$ |
$3.397263$ |
$-4868914236046592/1307544150375$ |
$1.03727$ |
$5.81089$ |
$[0, -1, 0, -43714236, 134619486615]$ |
\(y^2=x^3-x^2-43714236x+134619486615\) |
510.2.0.? |
$[(1825429684439/6131, 2444782284663165187/6131)]$ |
| 69360.t1 |
69360ck1 |
69360.t |
69360ck |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$9.859285938$ |
$1$ |
|
$0$ |
$528768$ |
$1.950535$ |
$-127157223424/16875$ |
$1.00596$ |
$4.57584$ |
$[0, -1, 0, -504401, -137731224]$ |
\(y^2=x^3-x^2-504401x-137731224\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[(3788436/31, 7243741650/31)]$ |
| 69360.t2 |
69360ck2 |
69360.t |
69360ck |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{12} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$29.57785781$ |
$1$ |
|
$0$ |
$1586304$ |
$2.499840$ |
$611926016/732421875$ |
$1.14791$ |
$4.78192$ |
$[0, -1, 0, 85159, -434928420]$ |
\(y^2=x^3-x^2+85159x-434928420\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[(778916694886488/446059, 21717662861917597406250/446059)]$ |
| 69360.u1 |
69360d2 |
69360.u |
69360d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$4.954663156$ |
$1$ |
|
$3$ |
$3342336$ |
$2.744560$ |
$19960071154/4100625$ |
$0.96800$ |
$5.09915$ |
$[0, -1, 0, -3525896, 2047767696]$ |
\(y^2=x^3-x^2-3525896x+2047767696\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(5981, 441450)]$ |
| 69360.u2 |
69360d1 |
69360.u |
69360d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$2.477331578$ |
$1$ |
|
$5$ |
$1671168$ |
$2.397987$ |
$33610279748/2025$ |
$0.95771$ |
$5.08371$ |
$[0, -1, 0, -3329376, 2339246160]$ |
\(y^2=x^3-x^2-3329376x+2339246160\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(1068, 720)]$ |
| 69360.v1 |
69360cf1 |
69360.v |
69360cf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$532224$ |
$1.929911$ |
$4589352212399/72559411200$ |
$1.03977$ |
$4.16336$ |
$[0, -1, 0, 36624, -13852224]$ |
\(y^2=x^3-x^2+36624x-13852224\) |
6.2.0.a.1 |
$[]$ |
| 69360.w1 |
69360e1 |
69360.w |
69360e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$6.949925956$ |
$1$ |
|
$0$ |
$165888$ |
$1.247341$ |
$52577024/57375$ |
$0.83544$ |
$3.36857$ |
$[0, -1, 0, 5684, -157109]$ |
\(y^2=x^3-x^2+5684x-157109\) |
510.2.0.? |
$[(15747/7, 2022133/7)]$ |
