| 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 |
| 11970.z2 |
11970i1 |
11970.z |
11970i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.222910860$ |
$1$ |
|
$13$ |
$12288$ |
$0.756579$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.48393$ |
$[1, -1, 0, -1134, 10388]$ |
\(y^2+xy=x^3-x^2-1134x+10388\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(7, 49)]$ |
| 11970.bl2 |
11970bf1 |
11970.bl |
11970bf |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.561628804$ |
$1$ |
|
$11$ |
$36864$ |
$1.305885$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.18590$ |
$[1, -1, 1, -10208, -270269]$ |
\(y^2+xy+y=x^3-x^2-10208x-270269\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-55, 377)]$ |
| 59850.q2 |
59850b1 |
59850.q |
59850b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$4.808329815$ |
$1$ |
|
$3$ |
$884736$ |
$2.110603$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.45134$ |
$[1, -1, 0, -255192, -34038784]$ |
\(y^2+xy=x^3-x^2-255192x-34038784\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(1528, 55288)]$ |
| 59850.em2 |
59850do1 |
59850.em |
59850do |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.561298$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.85207$ |
$[1, -1, 1, -28355, 1270147]$ |
\(y^2+xy+y=x^3-x^2-28355x+1270147\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 83790.u2 |
83790j1 |
83790.u |
83790j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 7^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.917475967$ |
$1$ |
|
$7$ |
$589824$ |
$1.729534$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.91583$ |
$[1, -1, 0, -55575, -3451939]$ |
\(y^2+xy=x^3-x^2-55575x-3451939\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-187, 706)]$ |
| 83790.ew2 |
83790dj1 |
83790.ew |
83790dj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 7^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.012985916$ |
$1$ |
|
$9$ |
$1769472$ |
$2.278839$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.49730$ |
$[1, -1, 1, -500177, 93702529]$ |
\(y^2+xy+y=x^3-x^2-500177x+93702529\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-173, 13316)]$ |
| 95760.x2 |
95760bz1 |
95760.x |
95760bz |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$2.230768312$ |
$1$ |
|
$3$ |
$884736$ |
$1.999033$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.15220$ |
$[0, 0, 0, -163323, 17460522]$ |
\(y^2=x^3-163323x+17460522\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-179, 6400)]$ |
| 95760.de2 |
95760cr1 |
95760.de |
95760cr |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.722818316$ |
$1$ |
|
$21$ |
$294912$ |
$1.449726$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.57749$ |
$[0, 0, 0, -18147, -646686]$ |
\(y^2=x^3-18147x-646686\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-47, 320), (-62, 490)]$ |
| 227430.x2 |
227430fy1 |
227430.x |
227430fy |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.251121904$ |
$1$ |
|
$9$ |
$13271040$ |
$2.778107$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.61895$ |
$[1, -1, 0, -3684975, 1872198125]$ |
\(y^2+xy=x^3-x^2-3684975x+1872198125\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(518, 9849)]$ |
| 227430.fz2 |
227430cm1 |
227430.fz |
227430cm |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.415196878$ |
$1$ |
|
$11$ |
$4423680$ |
$2.228798$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.08455$ |
$[1, -1, 1, -409442, -69204191]$ |
\(y^2+xy+y=x^3-x^2-409442x-69204191\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-413, 5621)]$ |
| 383040.ct2 |
383040ct1 |
383040.ct |
383040ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$1.796301$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.51522$ |
$[0, 0, 0, -72588, -5173488]$ |
\(y^2=x^3-72588x-5173488\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 383040.er2 |
383040er1 |
383040.er |
383040er |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.457438003$ |
$1$ |
|
$5$ |
$2359296$ |
$1.796301$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.51522$ |
$[0, 0, 0, -72588, 5173488]$ |
\(y^2=x^3-72588x+5173488\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(264, 2100)]$ |
| 383040.in2 |
383040in1 |
383040.in |
383040in |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$2.676146491$ |
$1$ |
|
$5$ |
$7077888$ |
$2.345608$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.02795$ |
$[0, 0, 0, -653292, 139684176]$ |
\(y^2=x^3-653292x+139684176\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(922, 17920)]$ |
| 383040.of2 |
383040of1 |
383040.of |
383040of |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.345608$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.02795$ |
$[0, 0, 0, -653292, -139684176]$ |
\(y^2=x^3-653292x-139684176\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 418950.ct2 |
418950ct1 |
418950.ct |
418950ct |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 7^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$5.964102591$ |
$1$ |
|
$1$ |
$42467328$ |
$3.083561$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.68413$ |
$[1, -1, 0, -12504417, 11700311741]$ |
\(y^2+xy=x^3-x^2-12504417x+11700311741\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-8774/3, 4104661/3)]$ |
| 418950.nw2 |
418950nw1 |
418950.nw |
418950nw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 7^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$2.534252$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.17494$ |
$[1, -1, 1, -1389380, -432881753]$ |
\(y^2+xy+y=x^3-x^2-1389380x-432881753\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 478800.kp2 |
478800kp1 |
478800.kp |
478800kp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{10} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.254444$ |
$5976054062523/1824760000$ |
$0.95032$ |
$3.87559$ |
$[0, 0, 0, -453675, -80835750]$ |
\(y^2=x^3-453675x-80835750\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 478800.mv2 |
478800mv1 |
478800.mv |
478800mv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{10} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21233664$ |
$2.803753$ |
$5976054062523/1824760000$ |
$0.95032$ |
$4.37958$ |
$[0, 0, 0, -4083075, 2182565250]$ |
\(y^2=x^3-4083075x+2182565250\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
