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 |
4389.b2 |
4389k1 |
4389.b |
4389k |
$2$ |
$5$ |
\( 3 \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{5} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$5200$ |
$0.625411$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.07962$ |
$[0, 1, 1, -1870, 30478]$ |
\(y^2+y=x^3+x^2-1870x+30478\) |
5.24.0-5.a.1.2, 8778.2.0.?, 43890.48.1.? |
$[]$ |
13167.n2 |
13167i1 |
13167.n |
13167i |
$2$ |
$5$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{11} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$2.117064555$ |
$1$ |
|
$0$ |
$41600$ |
$1.174717$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.30204$ |
$[0, 0, 1, -16833, -839745]$ |
\(y^2+y=x^3-16833x-839745\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 8778.2.0.?, 14630.24.0.?, 43890.48.1.? |
$[(-295/2, 185/2)]$ |
30723.a2 |
30723t1 |
30723.a |
30723t |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 3^{5} \cdot 7^{11} \cdot 11 \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$3.204025394$ |
$1$ |
|
$8$ |
$249600$ |
$1.598366$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.44128$ |
$[0, -1, 1, -91646, -10637320]$ |
\(y^2+y=x^3-x^2-91646x-10637320\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 6270.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[(355, 1200), (-1607/3, 1187/3)]$ |
48279.bb2 |
48279r1 |
48279.bb |
48279r |
$2$ |
$5$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 3^{5} \cdot 7^{5} \cdot 11^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$624000$ |
$1.824360$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.50660$ |
$[0, 1, 1, -226310, -41471743]$ |
\(y^2+y=x^3+x^2-226310x-41471743\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 3990.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
70224.bb2 |
70224bf1 |
70224.bb |
70224bf |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{5} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$87780$ |
$48$ |
$1$ |
$17.52514871$ |
$1$ |
|
$0$ |
$208000$ |
$1.318558$ |
$723570336280576/853577109$ |
$0.91804$ |
$3.81139$ |
$[0, -1, 0, -29925, -1980531]$ |
\(y^2=x^3-x^2-29925x-1980531\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 8778.2.0.?, 43890.24.1.?, 87780.48.1.? |
$[(-100646500/1019, 1694068133/1019)]$ |
83391.r2 |
83391m1 |
83391.r |
83391m |
$2$ |
$5$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{5} \cdot 7^{5} \cdot 11 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1872000$ |
$2.097630$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.57863$ |
$[0, -1, 1, -675190, -213101205]$ |
\(y^2+y=x^3-x^2-675190x-213101205\) |
5.12.0.a.1, 95.24.0.?, 2310.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
92169.bn2 |
92169x1 |
92169.bn |
92169x |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 3^{11} \cdot 7^{11} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1996800$ |
$2.147671$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.59108$ |
$[0, 0, 1, -824817, 288032449]$ |
\(y^2+y=x^3-824817x+288032449\) |
5.12.0.a.1, 105.24.0.?, 2090.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
109725.cc2 |
109725i1 |
109725.cc |
109725i |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{5} \cdot 5^{6} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$728000$ |
$1.430130$ |
$723570336280576/853577109$ |
$0.91804$ |
$3.78019$ |
$[0, -1, 1, -46758, 3903293]$ |
\(y^2+y=x^3-x^2-46758x+3903293\) |
5.24.0-5.a.1.1, 8778.2.0.?, 43890.48.1.? |
$[]$ |
144837.c2 |
144837c1 |
144837.c |
144837c |
$2$ |
$5$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 3^{11} \cdot 7^{5} \cdot 11^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4992000$ |
$2.373665$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.64467$ |
$[0, 0, 1, -2036793, 1117700262]$ |
\(y^2+y=x^3-2036793x+1117700262\) |
5.12.0.a.1, 165.24.0.?, 1330.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[]$ |
210672.bw2 |
210672u1 |
210672.bw |
210672u |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{11} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$87780$ |
$48$ |
$1$ |
$2.957927588$ |
$1$ |
|
$2$ |
$1664000$ |
$1.867865$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.00754$ |
$[0, 0, 0, -269328, 53743664]$ |
\(y^2=x^3-269328x+53743664\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 8778.2.0.?, 29260.24.0.?, 43890.24.1.?, $\ldots$ |
$[(217, 2349)]$ |
250173.b2 |
250173b1 |
250173.b |
250173b |
$2$ |
$5$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{11} \cdot 7^{5} \cdot 11 \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$0.375754443$ |
$1$ |
|
$18$ |
$14976000$ |
$2.646938$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.70426$ |
$[0, 0, 1, -6076713, 5759809240]$ |
\(y^2+y=x^3-6076713x+5759809240\) |
5.12.0.a.1, 285.24.0.?, 770.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[(-95, 79600), (7201/2, 204683/2)]$ |
280896.bh2 |
280896bh1 |
280896.bh |
280896bh |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{6} \cdot 3^{5} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$175560$ |
$48$ |
$1$ |
$0.889706638$ |
$1$ |
|
$2$ |
$416000$ |
$0.971985$ |
$723570336280576/853577109$ |
$0.91804$ |
$3.05874$ |
$[0, -1, 0, -7481, 251307]$ |
\(y^2=x^3-x^2-7481x+251307\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 8778.2.0.?, 43890.24.1.?, 175560.48.1.? |
$[(46, 49)]$ |
280896.fg2 |
280896fg1 |
280896.fg |
280896fg |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{6} \cdot 3^{5} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$175560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$416000$ |
$0.971985$ |
$723570336280576/853577109$ |
$0.91804$ |
$3.05874$ |
$[0, 1, 0, -7481, -251307]$ |
\(y^2=x^3+x^2-7481x-251307\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 8778.2.0.?, 43890.24.1.?, 175560.48.1.? |
$[]$ |
329175.a2 |
329175a1 |
329175.a |
329175a |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{11} \cdot 5^{6} \cdot 7^{5} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5824000$ |
$1.979437$ |
$723570336280576/853577109$ |
$0.91804$ |
$3.97215$ |
$[0, 0, 1, -420825, -104968094]$ |
\(y^2+y=x^3-420825x-104968094\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 8778.2.0.?, 14630.24.0.?, 43890.48.1.? |
$[]$ |
337953.ch2 |
337953ch1 |
337953.ch |
337953ch |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 19 \) |
\( 3^{5} \cdot 7^{11} \cdot 11^{7} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$43890$ |
$48$ |
$1$ |
$8.631195187$ |
$1$ |
|
$0$ |
$29952000$ |
$2.797314$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.73487$ |
$[0, -1, 1, -11089206, 14202629363]$ |
\(y^2+y=x^3-x^2-11089206x+14202629363\) |
5.12.0.a.1, 385.24.0.?, 570.24.0.?, 8778.2.0.?, 43890.48.1.? |
$[(268129/12, 4469239/12)]$ |
491568.fd2 |
491568fd1 |
491568.fd |
491568fd |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{5} \cdot 7^{11} \cdot 11 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$87780$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9984000$ |
$2.291515$ |
$723570336280576/853577109$ |
$0.91804$ |
$4.13636$ |
$[0, 1, 0, -1466341, 682254803]$ |
\(y^2=x^3+x^2-1466341x+682254803\) |
5.12.0.a.1, 140.24.0.?, 8778.2.0.?, 12540.24.0.?, 43890.24.1.?, $\ldots$ |
$[]$ |