| 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 |
| 10640.a1 |
10640a1 |
10640.a |
10640a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.995811465$ |
$1$ |
|
$2$ |
$4992$ |
$0.204546$ |
$336393216/315875$ |
$0.81009$ |
$2.71548$ |
$[0, 0, 0, 92, 268]$ |
\(y^2=x^3+92x+268\) |
70.2.0.a.1 |
$[(1, 19)]$ |
| 10640.b1 |
10640w1 |
10640.b |
10640w |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.798747419$ |
$1$ |
|
$2$ |
$9280$ |
$0.502736$ |
$-100934332416/12635$ |
$0.88707$ |
$3.62968$ |
$[0, 0, 0, -1552, 23536]$ |
\(y^2=x^3-1552x+23536\) |
70.2.0.a.1 |
$[(25, 19)]$ |
| 10640.c1 |
10640s1 |
10640.c |
10640s |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 5 \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.791711$ |
$-7539913083529/85120$ |
$0.89850$ |
$4.09485$ |
$[0, 1, 0, -6536, -205580]$ |
\(y^2=x^3+x^2-6536x-205580\) |
5320.2.0.? |
$[ ]$ |
| 10640.d1 |
10640g1 |
10640.d |
10640g |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.089600598$ |
$1$ |
|
$3$ |
$2048$ |
$-0.043100$ |
$2955053056/88445$ |
$0.80893$ |
$2.65082$ |
$[0, 1, 0, -75, 220]$ |
\(y^2=x^3+x^2-75x+220\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(8, 14)]$ |
| 10640.d2 |
10640g2 |
10640.d |
10640g |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.544800299$ |
$1$ |
|
$7$ |
$4096$ |
$0.303473$ |
$3286064/1140475$ |
$0.85916$ |
$2.90596$ |
$[0, 1, 0, 20, 828]$ |
\(y^2=x^3+x^2+20x+828\) |
2.3.0.a.1, 20.6.0.c.1, 38.6.0.b.1, 380.12.0.? |
$[(-2, 28)]$ |
| 10640.e1 |
10640j1 |
10640.e |
10640j |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.816558$ |
$-4483146738169/521360$ |
$0.89449$ |
$4.03880$ |
$[0, -1, 0, -5496, -155024]$ |
\(y^2=x^3-x^2-5496x-155024\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 2660.2.0.?, 3990.8.0.?, 7980.16.0.? |
$[ ]$ |
| 10640.e2 |
10640j2 |
10640.e |
10640j |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{24} \cdot 5^{3} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.365864$ |
$7892485271/24582656000$ |
$0.99374$ |
$4.28128$ |
$[0, -1, 0, 664, -482960]$ |
\(y^2=x^3-x^2+664x-482960\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 2660.2.0.?, 3990.8.0.?, 7980.16.0.? |
$[ ]$ |
| 10640.f1 |
10640o1 |
10640.f |
10640o |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1.811044410$ |
$1$ |
|
$2$ |
$4800$ |
$0.643836$ |
$-15193155676624/415625$ |
$0.88185$ |
$3.87140$ |
$[0, -1, 0, -3276, 73276]$ |
\(y^2=x^3-x^2-3276x+73276\) |
2660.2.0.? |
$[(33, 4)]$ |
| 10640.g1 |
10640t2 |
10640.g |
10640t |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$3.142617631$ |
$1$ |
|
$2$ |
$5184$ |
$0.503504$ |
$-2533446736/11763185$ |
$0.83901$ |
$3.17048$ |
$[0, -1, 0, -180, 2860]$ |
\(y^2=x^3-x^2-180x+2860\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 2660.2.0.?, 3990.8.0.?, 7980.16.0.? |
$[(-3, 58)]$ |
| 10640.g2 |
10640t1 |
10640.g |
10640t |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1.047539210$ |
$1$ |
|
$2$ |
$1728$ |
$-0.045802$ |
$3286064/16625$ |
$0.73817$ |
$2.43703$ |
$[0, -1, 0, 20, -100]$ |
\(y^2=x^3-x^2+20x-100\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 2660.2.0.?, 3990.8.0.?, 7980.16.0.? |
$[(5, 10)]$ |
| 10640.h1 |
10640bc1 |
10640.h |
10640bc |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5^{13} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.177437982$ |
$1$ |
|
$6$ |
$37440$ |
$1.537609$ |
$5084368707584/3084716796875$ |
$1.03177$ |
$4.50331$ |
$[0, -1, 0, 2275, 1350625]$ |
\(y^2=x^3-x^2+2275x+1350625\) |
70.2.0.a.1 |
$[(825, 23750)]$ |
| 10640.i1 |
10640bb1 |
10640.i |
10640bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5 \cdot 7^{7} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1.629475231$ |
$1$ |
|
$2$ |
$6720$ |
$0.761461$ |
$-3155824042576/78236585$ |
$0.86874$ |
$3.70643$ |
$[0, -1, 0, -1940, -32948]$ |
\(y^2=x^3-x^2-1940x-32948\) |
2660.2.0.? |
$[(57, 196)]$ |
| 10640.j1 |
10640l3 |
10640.j |
10640l |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{15} \cdot 5^{4} \cdot 7 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5320$ |
$48$ |
$0$ |
$3.355220147$ |
$1$ |
|
$3$ |
$23040$ |
$1.311087$ |
$20214562937713929/665000$ |
$1.00479$ |
$4.94619$ |
$[0, 0, 0, -90803, 10531698]$ |
\(y^2=x^3-90803x+10531698\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 532.12.0.?, $\ldots$ |
$[(399, 6150)]$ |
| 10640.j2 |
10640l2 |
10640.j |
10640l |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{18} \cdot 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5320$ |
$48$ |
$0$ |
$1.677610073$ |
$1$ |
|
$9$ |
$11520$ |
$0.964514$ |
$4955605568649/28302400$ |
$0.95516$ |
$4.04959$ |
$[0, 0, 0, -5683, 164082]$ |
\(y^2=x^3-5683x+164082\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 532.12.0.?, $\ldots$ |
$[(39, 42)]$ |
| 10640.j3 |
10640l4 |
10640.j |
10640l |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 5 \cdot 7^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5320$ |
$48$ |
$0$ |
$0.838805036$ |
$1$ |
|
$5$ |
$23040$ |
$1.311087$ |
$-413327139849/12516028840$ |
$0.97349$ |
$4.21054$ |
$[0, 0, 0, -2483, 347762]$ |
\(y^2=x^3-2483x+347762\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ |
$[(89, 912)]$ |
| 10640.j4 |
10640l1 |
10640.j |
10640l |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{24} \cdot 5 \cdot 7 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5320$ |
$48$ |
$0$ |
$3.355220147$ |
$1$ |
|
$3$ |
$5760$ |
$0.617940$ |
$4818245769/2723840$ |
$0.92261$ |
$3.30157$ |
$[0, 0, 0, -563, -782]$ |
\(y^2=x^3-563x-782\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ |
$[(-14, 66)]$ |
| 10640.k1 |
10640b3 |
10640.k |
10640b |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{11} \cdot 5^{12} \cdot 7 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29184$ |
$1.346796$ |
$69604873310898/32470703125$ |
$0.95954$ |
$4.25980$ |
$[0, 0, 0, -10883, 192418]$ |
\(y^2=x^3-10883x+192418\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 532.12.0.?, $\ldots$ |
$[ ]$ |
| 10640.k2 |
10640b2 |
10640.k |
10640b |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14592$ |
$1.000223$ |
$18593062763076/276390625$ |
$0.95497$ |
$4.04268$ |
$[0, 0, 0, -5563, -157638]$ |
\(y^2=x^3-5563x-157638\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 532.12.0.?, $\ldots$ |
$[ ]$ |
| 10640.k3 |
10640b1 |
10640.k |
10640b |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7296$ |
$0.653649$ |
$73572986019024/16625$ |
$0.91724$ |
$4.04152$ |
$[0, 0, 0, -5543, -158842]$ |
\(y^2=x^3-5543x-158842\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ |
$[ ]$ |
| 10640.k4 |
10640b4 |
10640.k |
10640b |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{11} \cdot 5^{3} \cdot 7^{4} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29184$ |
$1.346796$ |
$-9636491538/39112590125$ |
$1.07942$ |
$4.25664$ |
$[0, 0, 0, -563, -430638]$ |
\(y^2=x^3-563x-430638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ |
$[ ]$ |
| 10640.l1 |
10640m1 |
10640.l |
10640m |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{21} \cdot 5 \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.124744294$ |
$1$ |
|
$4$ |
$3456$ |
$0.443995$ |
$573856191/340480$ |
$0.95110$ |
$3.07210$ |
$[0, 0, 0, 277, 282]$ |
\(y^2=x^3+277x+282\) |
5320.2.0.? |
$[(-1, 2)]$ |
| 10640.m1 |
10640p1 |
10640.m |
10640p |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 5 \cdot 7^{3} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$4.384912590$ |
$1$ |
|
$2$ |
$40320$ |
$1.682707$ |
$-4959007166945889/543553252480$ |
$0.96824$ |
$4.81335$ |
$[0, 0, 0, -56843, -5688902]$ |
\(y^2=x^3-56843x-5688902\) |
5320.2.0.? |
$[(447, 7630)]$ |
| 10640.n1 |
10640f3 |
10640.n |
10640f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{10} \cdot 5 \cdot 7^{3} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5320$ |
$48$ |
$0$ |
$36.69385523$ |
$1$ |
|
$1$ |
$552960$ |
$2.965145$ |
$1706768805632178182685889284/11763185$ |
$1.05504$ |
$7.51004$ |
$[0, 0, 0, -250947947, -1530113279126]$ |
\(y^2=x^3-250947947x-1530113279126\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 76.12.0.?, 140.12.0.?, $\ldots$ |
$[(53038377192496225/958362, 11695614712593536916232921/958362)]$ |
| 10640.n2 |
10640f4 |
10640.n |
10640f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{10} \cdot 5 \cdot 7^{3} \cdot 19^{12} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5320$ |
$48$ |
$0$ |
$36.69385523$ |
$1$ |
|
$3$ |
$552960$ |
$2.965145$ |
$419431409113242476158884/3795835086198466115$ |
$1.03432$ |
$6.61369$ |
$[0, 0, 0, -15718547, -23798197246]$ |
\(y^2=x^3-15718547x-23798197246\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 140.24.0.?, 152.24.0.?, 5320.48.0.? |
$[(-403936394129140901/12995249, 23481669728104081930205270/12995249)]$ |
| 10640.n3 |
10640f2 |
10640.n |
10640f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2660$ |
$48$ |
$0$ |
$18.34692761$ |
$1$ |
|
$3$ |
$276480$ |
$2.618568$ |
$1666766511378391624080336/138372521344225$ |
$1.08367$ |
$6.61299$ |
$[0, 0, 0, -15684247, -23908018986]$ |
\(y^2=x^3-15684247x-23908018986\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 76.24.0.?, 140.24.0.?, 2660.48.0.? |
$[(10123559137/422, 1016049732761415/422)]$ |
| 10640.n4 |
10640f1 |
10640.n |
10640f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{12} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5320$ |
$48$ |
$0$ |
$9.173463809$ |
$1$ |
|
$1$ |
$138240$ |
$2.271996$ |
$-6468190632452541413376/59335868069786875$ |
$1.09873$ |
$5.71693$ |
$[0, 0, 0, -978122, -375277761]$ |
\(y^2=x^3-978122x-375277761\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 38.6.0.b.1, 76.24.0.?, 280.24.0.?, $\ldots$ |
$[(227177/2, 108263045/2)]$ |
| 10640.o1 |
10640e1 |
10640.o |
10640e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{11} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.369360101$ |
$1$ |
|
$6$ |
$1920$ |
$0.227906$ |
$-631642482/16625$ |
$0.80676$ |
$3.01249$ |
$[0, 0, 0, -227, 1346]$ |
\(y^2=x^3-227x+1346\) |
5320.2.0.? |
$[(7, 10)]$ |
| 10640.p1 |
10640d3 |
10640.p |
10640d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{10} \cdot 5^{3} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.445486$ |
$14723474810172804/13691402375$ |
$0.96391$ |
$4.76250$ |
$[0, 0, 0, -51467, 4490474]$ |
\(y^2=x^3-51467x+4490474\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[ ]$ |
| 10640.p2 |
10640d2 |
10640.p |
10640d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.098911$ |
$26969341851216/13543140625$ |
$1.02932$ |
$3.93329$ |
$[0, 0, 0, -3967, 34974]$ |
\(y^2=x^3-3967x+34974\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 76.24.0.?, 380.48.0.? |
$[ ]$ |
| 10640.p3 |
10640d1 |
10640.p |
10640d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.752338$ |
$69850705729536/798216125$ |
$0.94549$ |
$3.73690$ |
$[0, 0, 0, -2162, -38309]$ |
\(y^2=x^3-2162x-38309\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 152.24.0.?, $\ldots$ |
$[ ]$ |
| 10640.p4 |
10640d4 |
10640.p |
10640d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{10} \cdot 5^{12} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.445486$ |
$339784375292316/227294921875$ |
$1.05178$ |
$4.35604$ |
$[0, 0, 0, 14653, 269586]$ |
\(y^2=x^3+14653x+269586\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 38.6.0.b.1, 40.24.0-40.z.1.4, 76.24.0.?, $\ldots$ |
$[ ]$ |
| 10640.q1 |
10640z3 |
10640.q |
10640z |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{12} \cdot 5 \cdot 7 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8192$ |
$0.812985$ |
$809818183161/4561235$ |
$0.90210$ |
$3.85423$ |
$[0, 0, 0, -3107, -66334]$ |
\(y^2=x^3-3107x-66334\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 140.24.0.?, 152.24.0.?, 5320.48.0.? |
$[ ]$ |
| 10640.q2 |
10640z2 |
10640.q |
10640z |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{12} \cdot 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.466412$ |
$781229961/442225$ |
$1.01952$ |
$3.10537$ |
$[0, 0, 0, -307, 306]$ |
\(y^2=x^3-307x+306\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 76.24.0.?, 140.24.0.?, 2660.48.0.? |
$[ ]$ |
| 10640.q3 |
10640z1 |
10640.q |
10640z |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{12} \cdot 5 \cdot 7 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.119839$ |
$315821241/665$ |
$0.90381$ |
$3.00769$ |
$[0, 0, 0, -227, 1314]$ |
\(y^2=x^3-227x+1314\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 76.12.0.?, 140.12.0.?, $\ldots$ |
$[ ]$ |
| 10640.q4 |
10640z4 |
10640.q |
10640z |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.812985$ |
$48188806119/28511875$ |
$0.94791$ |
$3.54992$ |
$[0, 0, 0, 1213, 2434]$ |
\(y^2=x^3+1213x+2434\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 38.6.0.b.1, 76.24.0.?, 280.24.0.?, $\ldots$ |
$[ ]$ |
| 10640.r1 |
10640i1 |
10640.r |
10640i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.837362$ |
$28962726911/39916625$ |
$0.87484$ |
$3.52987$ |
$[0, 1, 0, 1024, -14476]$ |
\(y^2=x^3+x^2+1024x-14476\) |
2660.2.0.? |
$[ ]$ |
| 10640.s1 |
10640n1 |
10640.s |
10640n |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.656593124$ |
$1$ |
|
$4$ |
$2880$ |
$0.278232$ |
$-1219600384/619115$ |
$0.82988$ |
$2.92231$ |
$[0, 1, 0, -141, 839]$ |
\(y^2=x^3+x^2-141x+839\) |
70.2.0.a.1 |
$[(-5, 38)]$ |
| 10640.t1 |
10640r1 |
10640.t |
10640r |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{28} \cdot 5 \cdot 7^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.815374$ |
$1762396940073671/5127312834560$ |
$0.96019$ |
$4.83331$ |
$[0, 1, 0, 40264, -6227116]$ |
\(y^2=x^3+x^2+40264x-6227116\) |
2660.2.0.? |
$[ ]$ |
| 10640.u1 |
10640x1 |
10640.u |
10640x |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5 \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$-0.055301$ |
$-1771561/665$ |
$0.82100$ |
$2.50260$ |
$[0, 1, 0, -40, -140]$ |
\(y^2=x^3+x^2-40x-140\) |
2660.2.0.? |
$[ ]$ |
| 10640.v1 |
10640y2 |
10640.v |
10640y |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5 \cdot 7 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$120000$ |
$2.151066$ |
$-511416541770305536/214587319023035$ |
$0.98594$ |
$5.35343$ |
$[0, 1, 0, -266565, 69486515]$ |
\(y^2=x^3+x^2-266565x+69486515\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 70.24.1.d.2, 140.48.1.? |
$[ ]$ |
| 10640.v2 |
10640y1 |
10640.v |
10640y |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{12} \cdot 5^{5} \cdot 7^{5} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$24000$ |
$1.346346$ |
$-1029077364736/18960396875$ |
$0.95599$ |
$4.25663$ |
$[0, 1, 0, -3365, -431725]$ |
\(y^2=x^3+x^2-3365x-431725\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 70.24.1.d.1, 140.48.1.? |
$[ ]$ |
| 10640.w1 |
10640k1 |
10640.w |
10640k |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.298480$ |
$-4826809/65170$ |
$0.92228$ |
$2.90101$ |
$[0, -1, 0, -56, -784]$ |
\(y^2=x^3-x^2-56x-784\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 5320.2.0.?, 15960.16.0.? |
$[ ]$ |
| 10640.w2 |
10640k2 |
10640.w |
10640k |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 5^{3} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.847786$ |
$3449795831/48013000$ |
$0.89276$ |
$3.60393$ |
$[0, -1, 0, 504, 20720]$ |
\(y^2=x^3-x^2+504x+20720\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 5320.2.0.?, 15960.16.0.? |
$[ ]$ |
| 10640.x1 |
10640c1 |
10640.x |
10640c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{11} \cdot 5^{5} \cdot 7^{5} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1.200236249$ |
$1$ |
|
$2$ |
$16000$ |
$1.050695$ |
$1434315418702/997915625$ |
$0.90878$ |
$3.84112$ |
$[0, -1, 0, 2984, 27216]$ |
\(y^2=x^3-x^2+2984x+27216\) |
5320.2.0.? |
$[(18, 294)]$ |
| 10640.y1 |
10640u4 |
10640.y |
10640u |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 5 \cdot 7^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7980$ |
$96$ |
$1$ |
$22.52550928$ |
$1$ |
|
$1$ |
$20736$ |
$1.244392$ |
$139482396527056/80683685915$ |
$1.01853$ |
$4.11050$ |
$[0, -1, 0, -6860, 6860]$ |
\(y^2=x^3-x^2-6860x+6860\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 76.6.0.?, $\ldots$ |
$[(4640593333/6438, 211760137069091/6438)]$ |
| 10640.y2 |
10640u2 |
10640.y |
10640u |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7980$ |
$96$ |
$1$ |
$7.508503094$ |
$1$ |
|
$1$ |
$6912$ |
$0.695086$ |
$43725490482256/315875$ |
$0.89057$ |
$3.98540$ |
$[0, -1, 0, -4660, -120900]$ |
\(y^2=x^3-x^2-4660x-120900\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 76.6.0.?, $\ldots$ |
$[(3925/6, 174835/6)]$ |
| 10640.y3 |
10640u1 |
10640.y |
10640u |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7980$ |
$96$ |
$1$ |
$3.754251547$ |
$1$ |
|
$1$ |
$3456$ |
$0.348512$ |
$-160568836096/14546875$ |
$0.91323$ |
$3.09737$ |
$[0, -1, 0, -285, -1900]$ |
\(y^2=x^3-x^2-285x-1900\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 38.6.0.b.1, $\ldots$ |
$[(125/2, 1095/2)]$ |
| 10640.y4 |
10640u3 |
10640.y |
10640u |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7980$ |
$96$ |
$1$ |
$11.26275464$ |
$1$ |
|
$1$ |
$10368$ |
$0.897819$ |
$34845190651904/20173862275$ |
$1.10743$ |
$3.66190$ |
$[0, -1, 0, 1715, 0]$ |
\(y^2=x^3-x^2+1715x\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 38.6.0.b.1, $\ldots$ |
$[(61605/58, 37638435/58)]$ |
| 10640.z1 |
10640v1 |
10640.z |
10640v |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{27} \cdot 5^{3} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$5.818566854$ |
$1$ |
|
$2$ |
$51840$ |
$1.451641$ |
$-483385461758641/26693632000$ |
$0.92850$ |
$4.55339$ |
$[0, -1, 0, -26160, -1695808]$ |
\(y^2=x^3-x^2-26160x-1695808\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 5320.2.0.?, 15960.16.0.? |
$[(1874, 80790)]$ |
| 10640.z2 |
10640v2 |
10640.z |
10640v |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 5 \cdot 7^{9} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$17.45570056$ |
$1$ |
|
$0$ |
$155520$ |
$2.000946$ |
$74469146542554959/44285662466080$ |
$1.00014$ |
$5.08682$ |
$[0, -1, 0, 140240, -3405888]$ |
\(y^2=x^3-x^2+140240x-3405888\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 5320.2.0.?, 15960.16.0.? |
$[(69145938/193, 586257821718/193)]$ |