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.g2 |
3990g4 |
3990.g |
3990g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$2.368946$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.32772$ |
$[1, 1, 0, -820487, -241298571]$ |
\(y^2+xy=x^3+x^2-820487x-241298571\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[ ]$ |
11970.bj2 |
11970br3 |
11970.bj |
11970br |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1.883100160$ |
$1$ |
|
$6$ |
$860160$ |
$2.918255$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.28938$ |
$[1, -1, 1, -7384388, 6507677031]$ |
\(y^2+xy+y=x^3-x^2-7384388x+6507677031\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 228.12.0.?, $\ldots$ |
$[(825, 30837)]$ |
19950.cy2 |
19950cw4 |
19950.cy |
19950cw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{18} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$3.173668$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.27445$ |
$[1, 0, 0, -20512188, -30121297008]$ |
\(y^2+xy=x^3-20512188x-30121297008\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 380.12.0.?, $\ldots$ |
$[ ]$ |
27930.ba2 |
27930bi3 |
27930.ba |
27930bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{12} \cdot 7^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5160960$ |
$3.341904$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.26543$ |
$[1, 0, 1, -40203889, 82644798212]$ |
\(y^2+xy+y=x^3-40203889x+82644798212\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[ ]$ |
31920.cc2 |
31920cb3 |
31920.cc |
31920cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$3.062096$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.86100$ |
$[0, 1, 0, -13127800, 15416852948]$ |
\(y^2=x^3+x^2-13127800x+15416852948\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[ ]$ |
59850.di2 |
59850cd3 |
59850.di |
59850cd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{18} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.618642565$ |
$1$ |
|
$2$ |
$20643840$ |
$3.722973$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.24704$ |
$[1, -1, 0, -184609692, 813275019216]$ |
\(y^2+xy=x^3-x^2-184609692x+813275019216\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-2067, 1090083)]$ |
75810.dj2 |
75810do3 |
75810.dj |
75810do |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$2.935875705$ |
$1$ |
|
$2$ |
$38707200$ |
$3.841167$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.24184$ |
$[1, 0, 0, -296195995, 1652697331025]$ |
\(y^2+xy=x^3-296195995x+1652697331025\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(790, 1190905)]$ |
83790.fq2 |
83790fr3 |
83790.fq |
83790fr |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{12} \cdot 7^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.891209$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.23970$ |
$[1, -1, 1, -361834997, -2231409551731]$ |
\(y^2+xy+y=x^3-x^2-361834997x-2231409551731\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 456.12.0.?, $\ldots$ |
$[ ]$ |
95760.bl2 |
95760eb3 |
95760.bl |
95760eb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$3.394072005$ |
$1$ |
|
$3$ |
$20643840$ |
$3.611401$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.87431$ |
$[0, 0, 0, -118150203, -416373179798]$ |
\(y^2=x^3-118150203x-416373179798\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 228.12.0.?, $\ldots$ |
$[(40109, 7705152)]$ |
127680.y2 |
127680dv3 |
127680.y |
127680dv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$8.443191112$ |
$1$ |
|
$1$ |
$20643840$ |
$3.408669$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.52366$ |
$[0, -1, 0, -52511201, 123387334785]$ |
\(y^2=x^3-x^2-52511201x+123387334785\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(21151/5, 35259224/5)]$ |
127680.ed2 |
127680cg3 |
127680.ed |
127680cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$74.85078134$ |
$1$ |
|
$1$ |
$20643840$ |
$3.408669$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.52366$ |
$[0, 1, 0, -52511201, -123387334785]$ |
\(y^2=x^3+x^2-52511201x-123387334785\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(35113942961071836538415850396650853/1119386597996578, 6337103589921424803395935711822591950201438460734375/1119386597996578)]$ |
139650.ev2 |
139650dv4 |
139650.ev |
139650dv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{18} \cdot 7^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$123863040$ |
$4.146622$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.22937$ |
$[1, 1, 1, -1005097213, 10330599776531]$ |
\(y^2+xy+y=x^3+x^2-1005097213x+10330599776531\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 456.12.0.?, $\ldots$ |
$[ ]$ |
159600.bn2 |
159600ex4 |
159600.bn |
159600ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{18} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$14.15975699$ |
$1$ |
|
$1$ |
$61931520$ |
$3.866814$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.87967$ |
$[0, -1, 0, -328195008, 1927763008512]$ |
\(y^2=x^3-x^2-328195008x+1927763008512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 380.12.0.?, $\ldots$ |
$[(632021/10, 325457869/10)]$ |
223440.bt2 |
223440fg3 |
223440.bt |
223440fg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{12} \cdot 7^{14} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$43.56252003$ |
$1$ |
|
$1$ |
$123863040$ |
$4.035049$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.88296$ |
$[0, -1, 0, -643262216, -5289267085584]$ |
\(y^2=x^3-x^2-643262216x-5289267085584\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[(982853399592379268521/61821256, 30657843999752746236554275796875/61821256)]$ |
227430.p2 |
227430fi3 |
227430.p |
227430fi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$62.40119560$ |
$1$ |
|
$0$ |
$309657600$ |
$4.390472$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.22030$ |
$[1, -1, 0, -2665763955, -44622827937675]$ |
\(y^2+xy=x^3-x^2-2665763955x-44622827937675\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(59849479953196597227232350289/256613198827, 14609903195086941555823718405232991277156442/256613198827)]$ |
379050.bg2 |
379050bg4 |
379050.bg |
379050bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3 \cdot 5^{18} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$9.419879402$ |
$1$ |
|
$0$ |
$928972800$ |
$4.645889$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.21154$ |
$[1, 1, 0, -7404899875, 206587166378125]$ |
\(y^2+xy=x^3+x^2-7404899875x+206587166378125\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(7034925/7, 15704088700/7)]$ |
383040.hx2 |
383040hx4 |
383040.hx |
383040hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$165150720$ |
$3.957973$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.56436$ |
$[0, 0, 0, -472600812, 3330985438384]$ |
\(y^2=x^3-472600812x+3330985438384\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[ ]$ |
383040.on2 |
383040on3 |
383040.on |
383040on |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{25} \cdot 3^{7} \cdot 5^{12} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$3.010637321$ |
$1$ |
|
$7$ |
$165150720$ |
$3.957973$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.56436$ |
$[0, 0, 0, -472600812, -3330985438384]$ |
\(y^2=x^3-472600812x-3330985438384\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(-12848, 787500)]$ |
418950.hx2 |
418950hx3 |
418950.hx |
418950hx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{18} \cdot 7^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$990904320$ |
$4.695930$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$6.20990$ |
$[1, -1, 0, -9045874917, -278935239841259]$ |
\(y^2+xy=x^3-x^2-9045874917x-278935239841259\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[ ]$ |
478800.bb2 |
478800bb3 |
478800.bb |
478800bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{18} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$495452160$ |
$4.416122$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.88978$ |
$[0, 0, 0, -2953755075, -52046647474750]$ |
\(y^2=x^3-2953755075x-52046647474750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[ ]$ |
482790.fw2 |
482790fw4 |
482790.fw |
482790fw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 2^{7} \cdot 3 \cdot 5^{12} \cdot 7^{8} \cdot 11^{6} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$0.533964066$ |
$1$ |
|
$28$ |
$137625600$ |
$3.567894$ |
$61085713691774408830201/10268551781250000000$ |
$1.01205$ |
$5.10829$ |
$[1, 1, 1, -99278990, 320672003147]$ |
\(y^2+xy+y=x^3+x^2-99278990x+320672003147\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 264.12.0.?, 440.12.0.?, $\ldots$ |
$[(10357, 630071), (-6583, 833351)]$ |