| 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 |
| 3990.g1 |
3990g3 |
3990.g |
3990g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$107520$ |
$2.368946$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$7.31442$ |
$[1, 1, 0, -12544007, -17105481099]$ |
\(y^2+xy=x^3+x^2-12544007x-17105481099\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 11970.bj1 |
11970br4 |
11970.bj |
11970br |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1.883100160$ |
$1$ |
|
$4$ |
$860160$ |
$2.918255$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$7.16064$ |
$[1, -1, 1, -112896068, 461735093607]$ |
\(y^2+xy+y=x^3-x^2-112896068x+461735093607\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(6225, 9161)]$ |
| 19950.cy1 |
19950cw3 |
19950.cy |
19950cw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2580480$ |
$3.173668$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$7.10076$ |
$[1, 0, 0, -313600188, -2137557937008]$ |
\(y^2+xy=x^3-313600188x-2137557937008\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[ ]$ |
| 27930.ba1 |
27930bi4 |
27930.ba |
27930bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{3} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$3.341904$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$7.06458$ |
$[1, 0, 1, -614656369, 5865336047876]$ |
\(y^2+xy+y=x^3-614656369x+5865336047876\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[ ]$ |
| 31920.cc1 |
31920cb4 |
31920.cc |
31920cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$3.062096$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.64986$ |
$[0, 1, 0, -200704120, 1094349382100]$ |
\(y^2=x^3+x^2-200704120x+1094349382100\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 59850.di1 |
59850cd4 |
59850.di |
59850cd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.618642565$ |
$1$ |
|
$2$ |
$20643840$ |
$3.722973$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.99082$ |
$[1, -1, 0, -2822401692, 57714064299216]$ |
\(y^2+xy=x^3-x^2-2822401692x+57714064299216\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(37479, 2120898)]$ |
| 75810.dj1 |
75810do4 |
75810.dj |
75810do |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$2.935875705$ |
$1$ |
|
$2$ |
$38707200$ |
$3.841167$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.96997$ |
$[1, 0, 0, -4528386715, 117290267764817]$ |
\(y^2+xy=x^3-4528386715x+117290267764817\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 380.12.0.?, $\ldots$ |
$[(38854, -18647)]$ |
| 83790.fq1 |
83790fr4 |
83790.fq |
83790fr |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.891209$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.96141$ |
$[1, -1, 1, -5531907317, -158364073292659]$ |
\(y^2+xy+y=x^3-x^2-5531907317x-158364073292659\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 420.12.0.?, $\ldots$ |
$[ ]$ |
| 95760.bl1 |
95760eb4 |
95760.bl |
95760eb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$13.57628802$ |
$1$ |
|
$1$ |
$20643840$ |
$3.611401$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.58761$ |
$[0, 0, 0, -1806337083, -29549239653782]$ |
\(y^2=x^3-1806337083x-29549239653782\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(3944839/3, 7796787362/3)]$ |
| 127680.y1 |
127680dv4 |
127680.y |
127680dv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$8.443191112$ |
$1$ |
|
$1$ |
$20643840$ |
$3.408669$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.21951$ |
$[0, -1, 0, -802816481, 8755597873281]$ |
\(y^2=x^3-x^2-802816481x+8755597873281\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(4728151/17, 1522360/17)]$ |
| 127680.ed1 |
127680cg4 |
127680.ed |
127680cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$74.85078134$ |
$1$ |
|
$1$ |
$20643840$ |
$3.408669$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.21951$ |
$[0, 1, 0, -802816481, -8755597873281]$ |
\(y^2=x^3+x^2-802816481x-8755597873281\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(440656105716666193288519352747505/111256716113923, 3841895311795964886717723678022877330288258144856/111256716113923)]$ |
| 139650.ev1 |
139650dv3 |
139650.ev |
139650dv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{9} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$123863040$ |
$4.146622$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.91995$ |
$[1, 1, 1, -15366409213, 733167005984531]$ |
\(y^2+xy+y=x^3+x^2-15366409213x+733167005984531\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 456.12.0.?, $\ldots$ |
$[ ]$ |
| 159600.bn1 |
159600ex3 |
159600.bn |
159600ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$14.15975699$ |
$1$ |
|
$3$ |
$61931520$ |
$3.866814$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.56256$ |
$[0, -1, 0, -5017603008, 136803707968512]$ |
\(y^2=x^3-x^2-5017603008x+136803707968512\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(123802229/55, 1713148658/55)]$ |
| 223440.bt1 |
223440fg4 |
223440.bt |
223440fg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{3} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$43.56252003$ |
$1$ |
|
$1$ |
$123863040$ |
$4.035049$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.54719$ |
$[0, -1, 0, -9834501896, -375381507064080]$ |
\(y^2=x^3-x^2-9834501896x-375381507064080\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(907658008562562034321/58500952, 25063267087098634449412705348889/58500952)]$ |
| 227430.p1 |
227430fi4 |
227430.p |
227430fi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$62.40119560$ |
$1$ |
|
$0$ |
$309657600$ |
$4.390472$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.88358$ |
$[1, -1, 0, -40755480435, -3166837229650059]$ |
\(y^2+xy=x^3-x^2-40755480435x-3166837229650059\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(403721710719787678091273782153/663223452473, 249565948377147514326160912491941110340428590/663223452473)]$ |
| 379050.bg1 |
379050bg3 |
379050.bg |
379050bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$9.419879402$ |
$1$ |
|
$2$ |
$928972800$ |
$4.645889$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.84844$ |
$[1, 1, 0, -113209667875, 14661283470602125]$ |
\(y^2+xy=x^3+x^2-113209667875x+14661283470602125\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(231315, 29058680)]$ |
| 383040.hx1 |
383040hx3 |
383040.hx |
383040hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$165150720$ |
$3.957973$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.20075$ |
$[0, 0, 0, -7225348332, 236393917230256]$ |
\(y^2=x^3-7225348332x+236393917230256\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[ ]$ |
| 383040.on1 |
383040on4 |
383040.on |
383040on |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$12.04254928$ |
$4$ |
$2$ |
$1$ |
$165150720$ |
$3.957973$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.20075$ |
$[0, 0, 0, -7225348332, -236393917230256]$ |
\(y^2=x^3-7225348332x-236393917230256\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(54205852/7, 397873709640/7)]$ |
| 418950.hx1 |
418950hx4 |
418950.hx |
418950hx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{9} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$990904320$ |
$4.695930$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.84188$ |
$[1, -1, 0, -138297682917, -19795647459265259]$ |
\(y^2+xy=x^3-x^2-138297682917x-19795647459265259\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$ |
$[ ]$ |
| 478800.bb1 |
478800bb4 |
478800.bb |
478800bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{9} \cdot 7^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$495452160$ |
$4.416122$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$6.51531$ |
$[0, 0, 0, -45158427075, -3693654956722750]$ |
\(y^2=x^3-45158427075x-3693654956722750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 482790.fw1 |
482790fw3 |
482790.fw |
482790fw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$2.135856266$ |
$1$ |
|
$20$ |
$137625600$ |
$3.567894$ |
$218289391029690300712901881/306514992000$ |
$1.03088$ |
$5.73342$ |
$[1, 1, 1, -1517824910, 22759806218315]$ |
\(y^2+xy+y=x^3+x^2-1517824910x+22759806218315\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 220.12.0.?, 264.12.0.?, $\ldots$ |
$[(22493, -11177), (22583, 12173)]$ |
