| 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 |
| 162450.a1 |
162450da3 |
162450.a |
162450da |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$2280$ |
$48$ |
$0$ |
$3.799382673$ |
$1$ |
|
$2$ |
$265420800$ |
$4.313736$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$7.07195$ |
$[1, -1, 0, -40001689692, 3079406547008716]$ |
\(y^2+xy=x^3-x^2-40001689692x+3079406547008716\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[(114389, 579668)]$ |
| 162450.a2 |
162450da4 |
162450.a |
162450da |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{26} \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$2280$ |
$48$ |
$0$ |
$3.799382673$ |
$1$ |
|
$2$ |
$265420800$ |
$4.313736$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$6.38176$ |
$[1, -1, 0, -2530972692, 46867159493716]$ |
\(y^2+xy=x^3-x^2-2530972692x+46867159493716\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 60.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(39734, 2985458)]$ |
| 162450.a3 |
162450da2 |
162450.a |
162450da |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$1140$ |
$48$ |
$0$ |
$7.598765347$ |
$1$ |
|
$4$ |
$132710400$ |
$3.967159$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$6.37870$ |
$[1, -1, 0, -2500107192, 48116131951216]$ |
\(y^2+xy=x^3-x^2-2500107192x+48116131951216\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 60.24.0-60.b.1.7, 76.24.0.?, 1140.48.0.? |
$[(54915, 8714699)]$ |
| 162450.a4 |
162450da1 |
162450.a |
162450da |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$2280$ |
$48$ |
$0$ |
$3.799382673$ |
$1$ |
|
$5$ |
$66355200$ |
$3.620586$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$5.68970$ |
$[1, -1, 0, -154329192, 771294577216]$ |
\(y^2+xy=x^3-x^2-154329192x+771294577216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(-6816, 1230808)]$ |
| 162450.b1 |
162450db1 |
162450.b |
162450db |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$6.410187661$ |
$1$ |
|
$2$ |
$3283200$ |
$2.248886$ |
$48735/32$ |
$1.20155$ |
$4.17141$ |
$[1, -1, 0, 366528, 31246496]$ |
\(y^2+xy=x^3-x^2+366528x+31246496\) |
8.2.0.a.1 |
$[(1465, 60184)]$ |
| 162450.c1 |
162450dc2 |
162450.c |
162450dc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87162880$ |
$3.779716$ |
$248028267187/76527504$ |
$1.06020$ |
$5.74965$ |
$[1, -1, 0, -202008267, 755115613141]$ |
\(y^2+xy=x^3-x^2-202008267x+755115613141\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 162450.c2 |
162450dc1 |
162450.c |
162450dc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 5^{6} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$43581440$ |
$3.433144$ |
$14580432307/559872$ |
$1.02951$ |
$5.51346$ |
$[1, -1, 0, -78546267, -258877792859]$ |
\(y^2+xy=x^3-x^2-78546267x-258877792859\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
| 162450.d1 |
162450dd3 |
162450.d |
162450dd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$2280$ |
$48$ |
$0$ |
$4.399508404$ |
$1$ |
|
$4$ |
$26542080$ |
$3.190762$ |
$3107086841064961/570$ |
$0.98891$ |
$5.79986$ |
$[1, -1, 0, -246925692, 1493535273966]$ |
\(y^2+xy=x^3-x^2-246925692x+1493535273966\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.y.1.7, $\ldots$ |
$[(9073, -4482)]$ |
| 162450.d2 |
162450dd4 |
162450.d |
162450dd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{10} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$2280$ |
$48$ |
$0$ |
$4.399508404$ |
$1$ |
|
$4$ |
$26542080$ |
$3.190762$ |
$1177918188481/488703750$ |
$0.96253$ |
$5.14328$ |
$[1, -1, 0, -17871192, 15475826466]$ |
\(y^2+xy=x^3-x^2-17871192x+15475826466\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.s.1.8, 760.24.0.?, $\ldots$ |
$[(-3201, 201288)]$ |
| 162450.d3 |
162450dd2 |
162450.d |
162450dd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$2280$ |
$48$ |
$0$ |
$2.199754202$ |
$1$ |
|
$12$ |
$13271040$ |
$2.844185$ |
$758800078561/324900$ |
$0.93871$ |
$5.10663$ |
$[1, -1, 0, -15434442, 23334345216]$ |
\(y^2+xy=x^3-x^2-15434442x+23334345216\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.b.1.5, 380.12.0.?, $\ldots$ |
$[(2323, 2268)]$ |
| 162450.d4 |
162450dd1 |
162450.d |
162450dd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$2280$ |
$48$ |
$0$ |
$1.099877101$ |
$1$ |
|
$9$ |
$6635520$ |
$2.497612$ |
$-111284641/123120$ |
$0.87799$ |
$4.45997$ |
$[1, -1, 0, -813942, 482503716]$ |
\(y^2+xy=x^3-x^2-813942x+482503716\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.y.1.15, $\ldots$ |
$[(784, 17658)]$ |
| 162450.e1 |
162450de2 |
162450.e |
162450de |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 19^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2280$ |
$48$ |
$1$ |
$19.52582698$ |
$1$ |
|
$0$ |
$8640000$ |
$2.844028$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.87394$ |
$[1, -1, 0, -5687442, -5777687534]$ |
\(y^2+xy=x^3-x^2-5687442x-5777687534\) |
5.12.0.a.2, 120.24.0.?, 152.2.0.?, 285.24.0.?, 760.24.1.?, $\ldots$ |
$[(19068372361/2613, 166487368957616/2613)]$ |
| 162450.e2 |
162450de1 |
162450.e |
162450de |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$3.905165396$ |
$1$ |
|
$0$ |
$1728000$ |
$2.039310$ |
$-1/608$ |
$1.37833$ |
$3.98227$ |
$[1, -1, 0, -1692, 27463216]$ |
\(y^2+xy=x^3-x^2-1692x+27463216\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 285.24.0.?, 760.24.1.?, $\ldots$ |
$[(-2729/3, 8606/3)]$ |
| 162450.f1 |
162450eo1 |
162450.f |
162450eo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.295168338$ |
$1$ |
|
$10$ |
$184320$ |
$0.827437$ |
$-13851/1024$ |
$1.07903$ |
$2.77004$ |
$[1, -1, 0, -267, 19141]$ |
\(y^2+xy=x^3-x^2-267x+19141\) |
6.2.0.a.1 |
$[(54, 373), (-10, 149)]$ |
| 162450.g1 |
162450df1 |
162450.g |
162450df |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.993072245$ |
$1$ |
|
$0$ |
$276480$ |
$1.134062$ |
$463391/1440$ |
$0.86766$ |
$3.05533$ |
$[1, -1, 0, 2583, -106259]$ |
\(y^2+xy=x^3-x^2+2583x-106259\) |
40.2.0.a.1 |
$[(131/2, 769/2)]$ |
| 162450.h1 |
162450ep1 |
162450.h |
162450ep |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.454445395$ |
$1$ |
|
$2$ |
$10506240$ |
$2.848965$ |
$-13851/1024$ |
$1.07903$ |
$4.79189$ |
$[1, -1, 0, -868092, 3532628816]$ |
\(y^2+xy=x^3-x^2-868092x+3532628816\) |
6.2.0.a.1 |
$[(-136, 60468)]$ |
| 162450.i1 |
162450dg4 |
162450.i |
162450dg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{24} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$4.111505712$ |
$1$ |
|
$2$ |
$1194393600$ |
$5.092606$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$7.05664$ |
$[1, -1, 0, -37625939667, 1793801850972741]$ |
\(y^2+xy=x^3-x^2-37625939667x+1793801850972741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 60.48.0-60.t.1.8, $\ldots$ |
$[(-128511, 67196718)]$ |
| 162450.i2 |
162450dg2 |
162450.i |
162450dg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{12} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1.370501904$ |
$1$ |
|
$8$ |
$398131200$ |
$4.543297$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$7.02915$ |
$[1, -1, 0, -33707645667, 2382002636910741]$ |
\(y^2+xy=x^3-x^2-33707645667x+2382002636910741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 60.48.0-60.t.1.7, $\ldots$ |
$[(104049, 1044513)]$ |
| 162450.i3 |
162450dg1 |
162450.i |
162450dg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{9} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$2.741003808$ |
$1$ |
|
$7$ |
$199065600$ |
$4.196724$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$6.33678$ |
$[1, -1, 0, -2101373667, 37417773678741]$ |
\(y^2+xy=x^3-x^2-2101373667x+37417773678741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 30.24.0.b.1, $\ldots$ |
$[(28239, 757518)]$ |
| 162450.i4 |
162450dg3 |
162450.i |
162450dg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{15} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$8.223011424$ |
$1$ |
|
$3$ |
$597196800$ |
$4.746033$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$6.63412$ |
$[1, -1, 0, 6943842333, 194771782158741]$ |
\(y^2+xy=x^3-x^2+6943842333x+194771782158741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[(230038, 118059053)]$ |
| 162450.j1 |
162450dh1 |
162450.j |
162450dh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.732627599$ |
$1$ |
|
$4$ |
$69120$ |
$0.411222$ |
$95/162$ |
$1.32287$ |
$2.35382$ |
$[1, -1, 0, 18, 1566]$ |
\(y^2+xy=x^3-x^2+18x+1566\) |
8.2.0.a.1 |
$[(3, 39)]$ |
| 162450.k1 |
162450di1 |
162450.k |
162450di |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{16} \cdot 5^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5253120$ |
$2.470276$ |
$-442458985/118098$ |
$0.93891$ |
$4.47180$ |
$[1, -1, 0, -1073862, 518029726]$ |
\(y^2+xy=x^3-x^2-1073862x+518029726\) |
8.2.0.a.1 |
$[]$ |
| 162450.l1 |
162450dj2 |
162450.l |
162450dj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28016640$ |
$3.413242$ |
$781484460931/900$ |
$0.98883$ |
$5.84531$ |
$[1, -1, 0, -296148042, -1961528345384]$ |
\(y^2+xy=x^3-x^2-296148042x-1961528345384\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 162450.l2 |
162450dj1 |
162450.l |
162450dj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14008320$ |
$3.066669$ |
$-186169411/6480$ |
$0.91957$ |
$5.15487$ |
$[1, -1, 0, -18358542, -31169109884]$ |
\(y^2+xy=x^3-x^2-18358542x-31169109884\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[]$ |
| 162450.m1 |
162450dk1 |
162450.m |
162450dk |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 5^{2} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$547560$ |
$1.327425$ |
$-268722985/8192$ |
$1.10269$ |
$3.42127$ |
$[1, -1, 0, -17937, 953181]$ |
\(y^2+xy=x^3-x^2-17937x+953181\) |
8.2.0.a.1 |
$[]$ |
| 162450.n1 |
162450dl1 |
162450.n |
162450dl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21669120$ |
$3.175232$ |
$1118413511/1280000$ |
$0.94724$ |
$5.05404$ |
$[1, -1, 0, 12506958, 16830172116]$ |
\(y^2+xy=x^3-x^2+12506958x+16830172116\) |
8.2.0.a.1 |
$[]$ |
| 162450.o1 |
162450dm1 |
162450.o |
162450dm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{2} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1824768$ |
$2.017879$ |
$-14899652746105/1492992$ |
$1.04152$ |
$4.32741$ |
$[1, -1, 0, -683982, -217576364]$ |
\(y^2+xy=x^3-x^2-683982x-217576364\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? |
$[]$ |
| 162450.o2 |
162450dm2 |
162450.o |
162450dm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{33} \cdot 3^{8} \cdot 5^{2} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5474304$ |
$2.567184$ |
$4847542295/77309411328$ |
$1.18091$ |
$4.51021$ |
$[1, -1, 0, 47043, -651951419]$ |
\(y^2+xy=x^3-x^2+47043x-651951419\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? |
$[]$ |
| 162450.p1 |
162450cn1 |
162450.p |
162450cn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{4} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$0.874958$ |
$-3258025/1152$ |
$1.09878$ |
$2.86643$ |
$[1, -1, 0, -1692, -33584]$ |
\(y^2+xy=x^3-x^2-1692x-33584\) |
8.2.0.a.1 |
$[]$ |
| 162450.q1 |
162450co1 |
162450.q |
162450co |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{19} \cdot 3^{10} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$9.278620828$ |
$1$ |
|
$0$ |
$74856960$ |
$3.836292$ |
$-1843005386785/42467328$ |
$0.99644$ |
$5.94294$ |
$[1, -1, 0, -431956242, -3523489319084]$ |
\(y^2+xy=x^3-x^2-431956242x-3523489319084\) |
8.2.0.a.1 |
$[(39734861/13, 249197790941/13)]$ |
| 162450.r1 |
162450dn2 |
162450.r |
162450dn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{13} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$33.89862148$ |
$1$ |
|
$0$ |
$77414400$ |
$3.794315$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$6.30936$ |
$[1, -1, 0, -1894656042, -31742212244634]$ |
\(y^2+xy=x^3-x^2-1894656042x-31742212244634\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(11949758263004511/477647, 385666082568934853038629/477647)]$ |
| 162450.r2 |
162450dn1 |
162450.r |
162450dn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{20} \cdot 5^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$16.94931074$ |
$1$ |
|
$1$ |
$38707200$ |
$3.447742$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$5.61655$ |
$[1, -1, 0, -118265292, -497275342884]$ |
\(y^2+xy=x^3-x^2-118265292x-497275342884\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(626998386/127, 14963799702414/127)]$ |
| 162450.s1 |
162450eq4 |
162450.s |
162450eq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.654457$ |
$8527173507/200$ |
$1.05154$ |
$5.00722$ |
$[1, -1, 0, -10371417, 12858314741]$ |
\(y^2+xy=x^3-x^2-10371417x+12858314741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[]$ |
| 162450.s2 |
162450eq3 |
162450.s |
162450eq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.307884$ |
$-1860867/320$ |
$0.97305$ |
$4.32630$ |
$[1, -1, 0, -624417, 216455741]$ |
\(y^2+xy=x^3-x^2-624417x+216455741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 162450.s3 |
162450eq2 |
162450.s |
162450eq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{12} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$2.105152$ |
$57960603/31250$ |
$1.11205$ |
$4.04183$ |
$[1, -1, 0, -218292, -10207134]$ |
\(y^2+xy=x^3-x^2-218292x-10207134\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[]$ |
| 162450.s4 |
162450eq1 |
162450.s |
162450eq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.758577$ |
$804357/500$ |
$1.08207$ |
$3.68532$ |
$[1, -1, 0, 52458, -1272384]$ |
\(y^2+xy=x^3-x^2+52458x-1272384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 162450.t1 |
162450do2 |
162450.t |
162450do |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{13} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$15960$ |
$96$ |
$2$ |
$5.628465522$ |
$1$ |
|
$2$ |
$1354752$ |
$1.866877$ |
$-2520369/10000000$ |
$1.31055$ |
$3.80977$ |
$[1, -1, 0, -4542, -9755884]$ |
\(y^2+xy=x^3-x^2-4542x-9755884\) |
7.8.0.a.1, 40.2.0.a.1, 133.24.0.?, 280.16.0.?, 1995.48.0.?, $\ldots$ |
$[(4039, 254593)]$ |
| 162450.t2 |
162450do1 |
162450.t |
162450do |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$15960$ |
$96$ |
$2$ |
$0.804066503$ |
$1$ |
|
$4$ |
$193536$ |
$0.893921$ |
$-2520369/10$ |
$0.86380$ |
$3.07414$ |
$[1, -1, 0, -4542, 119366]$ |
\(y^2+xy=x^3-x^2-4542x+119366\) |
7.8.0.a.1, 40.2.0.a.1, 133.24.0.?, 280.16.0.?, 1995.48.0.?, $\ldots$ |
$[(49, 88)]$ |
| 162450.u1 |
162450dp1 |
162450.u |
162450dp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{6} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.012482$ |
$-1100553625/62208$ |
$1.03685$ |
$4.07883$ |
$[1, -1, 0, -245367, -48951459]$ |
\(y^2+xy=x^3-x^2-245367x-48951459\) |
6.2.0.a.1 |
$[]$ |
| 162450.v1 |
162450er2 |
162450.v |
162450er |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{22} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$456$ |
$12$ |
$0$ |
$10.56731841$ |
$1$ |
|
$0$ |
$36864000$ |
$3.544075$ |
$63433837731204513/4882812500000$ |
$1.10262$ |
$5.58973$ |
$[1, -1, 0, -106558917, 394247138741]$ |
\(y^2+xy=x^3-x^2-106558917x+394247138741\) |
2.3.0.a.1, 8.6.0.f.1, 228.6.0.?, 456.12.0.? |
$[(37955/2, 3859953/2)]$ |
| 162450.v2 |
162450er1 |
162450.v |
162450er |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$456$ |
$12$ |
$0$ |
$5.283659209$ |
$1$ |
|
$3$ |
$18432000$ |
$3.197502$ |
$59839327109608353/400000000$ |
$1.06364$ |
$5.58486$ |
$[1, -1, 0, -104506917, 411235646741]$ |
\(y^2+xy=x^3-x^2-104506917x+411235646741\) |
2.3.0.a.1, 8.6.0.f.1, 114.6.0.?, 456.12.0.? |
$[(9370, 499891)]$ |
| 162450.w1 |
162450dq4 |
162450.w |
162450dq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{14} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$10.88389461$ |
$1$ |
|
$0$ |
$17694720$ |
$3.189163$ |
$26487576322129/44531250$ |
$0.96284$ |
$5.40273$ |
$[1, -1, 0, -50442417, -137679858509]$ |
\(y^2+xy=x^3-x^2-50442417x-137679858509\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.6, $\ldots$ |
$[(36915/2, 3382997/2)]$ |
| 162450.w2 |
162450dq2 |
162450.w |
162450dq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2280$ |
$48$ |
$0$ |
$5.441947309$ |
$1$ |
|
$4$ |
$8847360$ |
$2.842590$ |
$14688124849/8122500$ |
$0.96350$ |
$4.77785$ |
$[1, -1, 0, -4144167, -683336759]$ |
\(y^2+xy=x^3-x^2-4144167x-683336759\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 228.12.0.?, $\ldots$ |
$[(7514, 622643)]$ |
| 162450.w3 |
162450dq1 |
162450.w |
162450dq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$2.720973654$ |
$1$ |
|
$3$ |
$4423680$ |
$2.496014$ |
$3301293169/22800$ |
$0.89080$ |
$4.65344$ |
$[1, -1, 0, -2519667, 1530856741]$ |
\(y^2+xy=x^3-x^2-2519667x+1530856741\) |
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.1.8, $\ldots$ |
$[(3710, 206081)]$ |
| 162450.w4 |
162450dq3 |
162450.w |
162450dq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{8} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2280$ |
$48$ |
$0$ |
$10.88389461$ |
$1$ |
|
$0$ |
$17694720$ |
$3.189163$ |
$871257511151/527800050$ |
$0.99326$ |
$5.11814$ |
$[1, -1, 0, 16162083, -5414693009]$ |
\(y^2+xy=x^3-x^2+16162083x-5414693009\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 456.24.0.?, $\ldots$ |
$[(1788209/16, 2728093103/16)]$ |
| 162450.x1 |
162450es2 |
162450.x |
162450es |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.2, 3.3.0.1 |
2B, 3Nn |
$456$ |
$72$ |
$3$ |
$18.49372845$ |
$1$ |
|
$0$ |
$9338880$ |
$2.757664$ |
$8602523649/8$ |
$1.12636$ |
$5.19479$ |
$[1, -1, 0, -21959517, -39602421859]$ |
\(y^2+xy=x^3-x^2-21959517x-39602421859\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.f.1, 12.18.0.c.1, $\ldots$ |
$[(107307659/10, 1111046166357/10)]$ |
| 162450.x2 |
162450es1 |
162450.x |
162450es |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.2, 3.3.0.1 |
2B, 3Nn |
$456$ |
$72$ |
$3$ |
$9.246864226$ |
$1$ |
|
$1$ |
$4669440$ |
$2.411087$ |
$2146689/64$ |
$1.08046$ |
$4.50336$ |
$[1, -1, 0, -1382517, -609006859]$ |
\(y^2+xy=x^3-x^2-1382517x-609006859\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 8.6.0.f.1, 24.36.0.bo.1, $\ldots$ |
$[(33946/5, 412991/5)]$ |
| 162450.y1 |
162450dr2 |
162450.y |
162450dr |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{10} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.935703185$ |
$1$ |
|
$20$ |
$1474560$ |
$1.991377$ |
$4904335099/1822500$ |
$0.97209$ |
$3.95020$ |
$[1, -1, 0, -151317, 13590841]$ |
\(y^2+xy=x^3-x^2-151317x+13590841\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(-52, 4643), (29, 3023)]$ |
| 162450.y2 |
162450dr1 |
162450.y |
162450dr |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$7.742812741$ |
$1$ |
|
$13$ |
$737280$ |
$1.644802$ |
$403583419/10800$ |
$0.92758$ |
$3.74204$ |
$[1, -1, 0, -65817, -6330659]$ |
\(y^2+xy=x^3-x^2-65817x-6330659\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(309, 1508), (518, 9659)]$ |
| 162450.z1 |
162450et2 |
162450.z |
162450et |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{6} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$3.046483399$ |
$1$ |
|
$10$ |
$1474560$ |
$1.948753$ |
$149721291/722$ |
$0.93693$ |
$4.12093$ |
$[1, -1, 0, -299517, 62904391]$ |
\(y^2+xy=x^3-x^2-299517x+62904391\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(423, 3218), (951/2, 17099/2)]$ |
