| 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 |
| 2850.a1 |
2850b4 |
2850.a |
2850b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.342378579$ |
$1$ |
|
$4$ |
$9216$ |
$1.169233$ |
$3107086841064961/570$ |
$0.98891$ |
$5.69814$ |
$[1, 1, 0, -76000, 8032750]$ |
\(y^2+xy=x^3+x^2-76000x+8032750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(165, 55)]$ |
| 2850.a2 |
2850b3 |
2850.a |
2850b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{10} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.342378579$ |
$1$ |
|
$6$ |
$9216$ |
$1.169233$ |
$1177918188481/488703750$ |
$0.96253$ |
$4.70786$ |
$[1, 1, 0, -5500, 81250]$ |
\(y^2+xy=x^3+x^2-5500x+81250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[(9, 176)]$ |
| 2850.a3 |
2850b2 |
2850.a |
2850b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$0.671189289$ |
$1$ |
|
$14$ |
$4608$ |
$0.822660$ |
$758800078561/324900$ |
$0.93871$ |
$4.65258$ |
$[1, 1, 0, -4750, 124000]$ |
\(y^2+xy=x^3+x^2-4750x+124000\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[(45, 40)]$ |
| 2850.a4 |
2850b1 |
2850.a |
2850b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$0.335594644$ |
$1$ |
|
$11$ |
$2304$ |
$0.476087$ |
$-111284641/123120$ |
$0.87799$ |
$3.67727$ |
$[1, 1, 0, -250, 2500]$ |
\(y^2+xy=x^3+x^2-250x+2500\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 76.12.0.?, $\ldots$ |
$[(0, 50)]$ |
| 2850.b1 |
2850c2 |
2850.b |
2850c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.772789$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$6.46659$ |
$[1, 1, 0, -583150, -171646250]$ |
\(y^2+xy=x^3+x^2-583150x-171646250\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[]$ |
| 2850.b2 |
2850c1 |
2850.b |
2850c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{14} \cdot 5^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13440$ |
$1.426216$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$5.42167$ |
$[1, 1, 0, -36400, -2700500]$ |
\(y^2+xy=x^3+x^2-36400x-2700500\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
| 2850.c1 |
2850d4 |
2850.c |
2850d |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{24} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$3.071079$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$7.59367$ |
$[1, 1, 0, -11580775, 9681245125]$ |
\(y^2+xy=x^3+x^2-11580775x+9681245125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 2850.c2 |
2850d2 |
2850.c |
2850d |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$2.521770$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$7.55219$ |
$[1, 1, 0, -10374775, 12857903125]$ |
\(y^2+xy=x^3+x^2-10374775x+12857903125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 2850.c3 |
2850d1 |
2850.c |
2850d |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$2.175198$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$6.50794$ |
$[1, 1, 0, -646775, 201775125]$ |
\(y^2+xy=x^3+x^2-646775x+201775125\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$ |
$[]$ |
| 2850.c4 |
2850d3 |
2850.c |
2850d |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3 \cdot 5^{15} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$2.724506$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$6.95640$ |
$[1, 1, 0, 2137225, 1052623125]$ |
\(y^2+xy=x^3+x^2+2137225x+1052623125\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$ |
$[]$ |
| 2850.d1 |
2850g1 |
2850.d |
2850g |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{4} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$1.153946$ |
$-1389310279182025/267418692$ |
$1.01569$ |
$5.19237$ |
$[1, 1, 0, -19875, -1086975]$ |
\(y^2+xy=x^3+x^2-19875x-1086975\) |
5.24.0-5.a.2.1, 228.2.0.?, 1140.48.1.? |
$[]$ |
| 2850.d2 |
2850g2 |
2850.d |
2850g |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{15} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$36000$ |
$1.958666$ |
$480705753733655/279172334592$ |
$1.08504$ |
$5.86818$ |
$[1, 1, 0, 119300, 994000]$ |
\(y^2+xy=x^3+x^2+119300x+994000\) |
5.24.0-5.a.1.1, 228.2.0.?, 1140.48.1.? |
$[]$ |
| 2850.e1 |
2850a4 |
2850.e |
2850a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.4 |
2B, 5B.1.3 |
$1140$ |
$288$ |
$5$ |
$22.52645455$ |
$1$ |
|
$0$ |
$576000$ |
$3.413548$ |
$16300610738133468173382620881/2228489100$ |
$1.07409$ |
$9.37988$ |
$[1, 1, 0, -1320586125, -18471882009375]$ |
\(y^2+xy=x^3+x^2-1320586125x-18471882009375\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 60.144.1-60.cj.1.2, 76.6.0.?, $\ldots$ |
$[(34076766980/649, 5485070538042165/649)]$ |
| 2850.e2 |
2850a3 |
2850.e |
2850a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.4 |
2B, 5B.1.3 |
$1140$ |
$288$ |
$5$ |
$45.05290911$ |
$1$ |
|
$1$ |
$288000$ |
$3.066975$ |
$-3979640234041473454886161/1471455901872240$ |
$1.05780$ |
$8.33429$ |
$[1, 1, 0, -82536625, -288649002875]$ |
\(y^2+xy=x^3+x^2-82536625x-288649002875\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 10.72.0-10.a.1.1, 30.144.1-30.i.2.3, 76.6.0.?, $\ldots$ |
$[(292470172465266602910/120251263, 4352619315608951027501283745385/120251263)]$ |
| 2850.e3 |
2850a2 |
2850.e |
2850a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{16} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$1140$ |
$288$ |
$5$ |
$4.505290911$ |
$1$ |
|
$2$ |
$115200$ |
$2.608829$ |
$75224183150104868881/11219310000000000$ |
$1.03228$ |
$6.96708$ |
$[1, 1, 0, -2198625, -1081996875]$ |
\(y^2+xy=x^3+x^2-2198625x-1081996875\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 60.144.1-60.cj.2.2, 76.6.0.?, $\ldots$ |
$[(1730, 16335)]$ |
| 2850.e4 |
2850a1 |
2850.e |
2850a |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{11} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$1140$ |
$288$ |
$5$ |
$9.010581822$ |
$1$ |
|
$3$ |
$57600$ |
$2.262257$ |
$89962967236397039/287450726400000$ |
$1.02813$ |
$6.31089$ |
$[1, 1, 0, 233375, -92172875]$ |
\(y^2+xy=x^3+x^2+233375x-92172875\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 30.144.1-30.i.1.3, 76.6.0.?, $\ldots$ |
$[(35421, 6649418)]$ |
| 2850.f1 |
2850f1 |
2850.f |
2850f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$1.267761$ |
$-23891790625/1181952$ |
$1.01527$ |
$5.03744$ |
$[1, 1, 0, -12825, 577125]$ |
\(y^2+xy=x^3+x^2-12825x+577125\) |
228.2.0.? |
$[]$ |
| 2850.g1 |
2850e3 |
2850.g |
2850e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5184$ |
$0.910221$ |
$8671983378625/82308$ |
$1.00775$ |
$4.95882$ |
$[1, 1, 0, -10700, -430500]$ |
\(y^2+xy=x^3+x^2-10700x-430500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 2850.g2 |
2850e4 |
2850.g |
2850e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$1.256794$ |
$-8078253774625/846825858$ |
$1.01015$ |
$4.97083$ |
$[1, 1, 0, -10450, -451250]$ |
\(y^2+xy=x^3+x^2-10450x-451250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 2850.g3 |
2850e1 |
2850.g |
2850e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$0.360915$ |
$57066625/32832$ |
$1.04766$ |
$3.45897$ |
$[1, 1, 0, -200, 0]$ |
\(y^2+xy=x^3+x^2-200x\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 2850.g4 |
2850e2 |
2850.g |
2850e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.707488$ |
$3616805375/2105352$ |
$1.07346$ |
$3.98054$ |
$[1, 1, 0, 800, 1000]$ |
\(y^2+xy=x^3+x^2+800x+1000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 2850.h1 |
2850l4 |
2850.h |
2850l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.074210364$ |
$1$ |
|
$6$ |
$92160$ |
$2.292206$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$7.61676$ |
$[1, 0, 1, -12312001, 16627013648]$ |
\(y^2+xy+y=x^3-12312001x+16627013648\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(2026, -994)]$ |
| 2850.h2 |
2850l3 |
2850.h |
2850l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$0.268552591$ |
$1$ |
|
$14$ |
$92160$ |
$2.292206$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$6.57579$ |
$[1, 0, 1, -779001, 253003648]$ |
\(y^2+xy+y=x^3-779001x+253003648\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 76.12.0.?, $\ldots$ |
$[(-103, 18276)]$ |
| 2850.h3 |
2850l2 |
2850.h |
2850l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$0.537105182$ |
$1$ |
|
$16$ |
$46080$ |
$1.945633$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$6.57116$ |
$[1, 0, 1, -769501, 259748648]$ |
\(y^2+xy+y=x^3-769501x+259748648\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 76.12.0.?, $\ldots$ |
$[(526, 506)]$ |
| 2850.h4 |
2850l1 |
2850.h |
2850l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$0.268552591$ |
$1$ |
|
$13$ |
$23040$ |
$1.599060$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$5.53199$ |
$[1, 0, 1, -47501, 4160648]$ |
\(y^2+xy+y=x^3-47501x+4160648\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[(51, 1342)]$ |
| 2850.i1 |
2850m2 |
2850.i |
2850m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{5} \cdot 3 \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$3.016809534$ |
$1$ |
|
$2$ |
$9600$ |
$1.320646$ |
$14809006736693/34656$ |
$1.03845$ |
$5.63303$ |
$[1, 0, 1, -63951, 6219298]$ |
\(y^2+xy+y=x^3-63951x+6219298\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(148, -31)]$ |
| 2850.i2 |
2850m1 |
2850.i |
2850m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.508404767$ |
$1$ |
|
$5$ |
$4800$ |
$0.974072$ |
$-3491055413/175104$ |
$0.98978$ |
$4.59349$ |
$[1, 0, 1, -3951, 99298]$ |
\(y^2+xy+y=x^3-3951x+99298\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(23, 132)]$ |
| 2850.j1 |
2850j3 |
2850.j |
2850j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$30720$ |
$1.906158$ |
$74220219816682217473/16416$ |
$1.10905$ |
$6.96539$ |
$[1, 0, 1, -2188801, -1246582252]$ |
\(y^2+xy+y=x^3-2188801x-1246582252\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 456.24.0.?, $\ldots$ |
$[]$ |
| 2850.j2 |
2850j2 |
2850.j |
2850j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15360$ |
$1.559586$ |
$18120364883707393/269485056$ |
$1.09068$ |
$5.91980$ |
$[1, 0, 1, -136801, -19486252]$ |
\(y^2+xy+y=x^3-136801x-19486252\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 228.12.0.?, $\ldots$ |
$[]$ |
| 2850.j3 |
2850j4 |
2850.j |
2850j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{12} \cdot 5^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.906158$ |
$-16576888679672833/2216253521952$ |
$1.04427$ |
$5.93474$ |
$[1, 0, 1, -132801, -20678252]$ |
\(y^2+xy+y=x^3-132801x-20678252\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 2850.j4 |
2850j1 |
2850.j |
2850j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.213011$ |
$4824238966273/537919488$ |
$1.00823$ |
$4.88510$ |
$[1, 0, 1, -8801, -286252]$ |
\(y^2+xy+y=x^3-8801x-286252\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[]$ |
| 2850.k1 |
2850n2 |
2850.k |
2850n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.379888806$ |
$1$ |
|
$8$ |
$2688$ |
$0.683935$ |
$428831641421/181752822$ |
$0.98464$ |
$3.97390$ |
$[1, 0, 1, -786, 4318]$ |
\(y^2+xy+y=x^3-786x+4318\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(26, 27)]$ |
| 2850.k2 |
2850n1 |
2850.k |
2850n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.189944403$ |
$1$ |
|
$13$ |
$1344$ |
$0.337361$ |
$3936827539/3158028$ |
$0.95500$ |
$3.38425$ |
$[1, 0, 1, 164, 518]$ |
\(y^2+xy+y=x^3+164x+518\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(7, 41)]$ |
| 2850.l1 |
2850h1 |
2850.l |
2850h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{16} \cdot 3 \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.210096$ |
$272199695/3735552$ |
$0.95892$ |
$3.23868$ |
$[1, 0, 1, 39, -452]$ |
\(y^2+xy+y=x^3+39x-452\) |
228.2.0.? |
$[]$ |
| 2850.m1 |
2850i3 |
2850.m |
2850i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6144$ |
$1.167637$ |
$26487576322129/44531250$ |
$0.96284$ |
$5.09918$ |
$[1, 0, 1, -15526, -744802]$ |
\(y^2+xy+y=x^3-15526x-744802\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 456.24.0.?, $\ldots$ |
$[]$ |
| 2850.m2 |
2850i2 |
2850.m |
2850i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$0.821063$ |
$14688124849/8122500$ |
$0.96350$ |
$4.15671$ |
$[1, 0, 1, -1276, -3802]$ |
\(y^2+xy+y=x^3-1276x-3802\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 228.12.0.?, $\ldots$ |
$[]$ |
| 2850.m3 |
2850i1 |
2850.m |
2850i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.474489$ |
$3301293169/22800$ |
$0.89080$ |
$3.96907$ |
$[1, 0, 1, -776, 8198]$ |
\(y^2+xy+y=x^3-776x+8198\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[]$ |
| 2850.m4 |
2850i4 |
2850.m |
2850i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2 \cdot 3^{4} \cdot 5^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.167637$ |
$871257511151/527800050$ |
$0.99326$ |
$4.66995$ |
$[1, 0, 1, 4974, -28802]$ |
\(y^2+xy+y=x^3+4974x-28802\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 2850.n1 |
2850k2 |
2850.n |
2850k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.643647798$ |
$1$ |
|
$2$ |
$2304$ |
$0.508292$ |
$2992209121/54150$ |
$0.89013$ |
$3.95671$ |
$[1, 0, 1, -751, -7852]$ |
\(y^2+xy+y=x^3-751x-7852\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(42, 166)]$ |
| 2850.n2 |
2850k1 |
2850.n |
2850k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.821823899$ |
$1$ |
|
$7$ |
$1152$ |
$0.161718$ |
$-1/3420$ |
$1.10256$ |
$3.17392$ |
$[1, 0, 1, -1, -352]$ |
\(y^2+xy+y=x^3-x-352\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(12, 31)]$ |
| 2850.o1 |
2850o2 |
2850.o |
2850o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3 \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$228$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$0.943538$ |
$-1392225385/1316928$ |
$0.92383$ |
$4.38693$ |
$[1, 0, 1, -1701, -43952]$ |
\(y^2+xy+y=x^3-1701x-43952\) |
3.8.0-3.a.1.1, 228.16.0.? |
$[]$ |
| 2850.o2 |
2850o1 |
2850.o |
2850o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$228$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1440$ |
$0.394231$ |
$1503815/2052$ |
$0.84655$ |
$3.44497$ |
$[1, 0, 1, 174, 1048]$ |
\(y^2+xy+y=x^3+174x+1048\) |
3.8.0-3.a.1.2, 228.16.0.? |
$[]$ |
| 2850.p1 |
2850q3 |
2850.p |
2850q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{20} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.878124$ |
$207530301091125281552569/805586668007040$ |
$1.05095$ |
$7.96299$ |
$[1, 1, 1, -30836088, -65920459719]$ |
\(y^2+xy+y=x^3+x^2-30836088x-65920459719\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.5, 40.24.0-40.v.1.1, 120.48.0.? |
$[]$ |
| 2850.p2 |
2850q4 |
2850.p |
2850q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{10} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.878124$ |
$1412712966892699019449/330160465517040000$ |
$1.04349$ |
$7.33575$ |
$[1, 1, 1, -5844088, 4196148281]$ |
\(y^2+xy+y=x^3+x^2-5844088x+4196148281\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 40.24.0-40.bb.1.5, $\ldots$ |
$[]$ |
| 2850.p3 |
2850q2 |
2850.p |
2850q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$107520$ |
$2.531551$ |
$52974743974734147769/3152005008998400$ |
$1.02895$ |
$6.92300$ |
$[1, 1, 1, -1956088, -998219719]$ |
\(y^2+xy+y=x^3+x^2-1956088x-998219719\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 40.24.0-40.a.1.4, 60.24.0-60.b.1.1, $\ldots$ |
$[]$ |
| 2850.p4 |
2850q1 |
2850.p |
2850q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{5} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$53760$ |
$2.184978$ |
$5495662324535111/117739817533440$ |
$1.03950$ |
$6.22036$ |
$[1, 1, 1, 91912, -64331719]$ |
\(y^2+xy+y=x^3+x^2+91912x-64331719\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 30.6.0.a.1, 40.24.0-40.bb.1.2, $\ldots$ |
$[]$ |
| 2850.q1 |
2850r4 |
2850.q |
2850r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.319507248$ |
$1$ |
|
$8$ |
$20736$ |
$1.923819$ |
$46237740924063961/1806561830400$ |
$1.00221$ |
$6.03756$ |
$[1, 1, 1, -186938, -30118969]$ |
\(y^2+xy+y=x^3+x^2-186938x-30118969\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$ |
$[(-235, 1067)]$ |
| 2850.q2 |
2850r2 |
2850.q |
2850r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.958521746$ |
$1$ |
|
$6$ |
$6912$ |
$1.374512$ |
$148212258825961/1218375000$ |
$0.97315$ |
$5.31564$ |
$[1, 1, 1, -27563, 1737281]$ |
\(y^2+xy+y=x^3+x^2-27563x+1737281\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$ |
$[(65, 442)]$ |
| 2850.q3 |
2850r1 |
2850.q |
2850r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.479260873$ |
$1$ |
|
$9$ |
$3456$ |
$1.027939$ |
$-1263214441/110808000$ |
$0.98712$ |
$4.48031$ |
$[1, 1, 1, -563, 63281]$ |
\(y^2+xy+y=x^3+x^2-563x+63281\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$ |
$[(-25, 262)]$ |
| 2850.q4 |
2850r3 |
2850.q |
2850r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{7} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.159753624$ |
$1$ |
|
$19$ |
$10368$ |
$1.577246$ |
$918046641959/80912056320$ |
$1.02394$ |
$5.30748$ |
$[1, 1, 1, 5062, -1702969]$ |
\(y^2+xy+y=x^3+x^2+5062x-1702969\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$ |
$[(125, 887)]$ |
