| 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 |
| 6440.f1 |
6440i1 |
6440.f |
6440i |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72000$ |
$2.062500$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$6.29911$ |
$[0, -1, 0, -2071545, -1146907475]$ |
\(y^2=x^3-x^2-2071545x-1146907475\) |
70.2.0.a.1 |
$[]$ |
| 12880.s1 |
12880g1 |
12880.s |
12880g |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.234894571$ |
$1$ |
|
$4$ |
$144000$ |
$2.062500$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.83774$ |
$[0, 1, 0, -2071545, 1146907475]$ |
\(y^2=x^3+x^2-2071545x+1146907475\) |
70.2.0.a.1 |
$[(910, 4025)]$ |
| 32200.s1 |
32200d1 |
32200.s |
32200d |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 5^{11} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728000$ |
$2.867218$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$6.25273$ |
$[0, 1, 0, -51788633, -143467011637]$ |
\(y^2=x^3+x^2-51788633x-143467011637\) |
70.2.0.a.1 |
$[]$ |
| 45080.v1 |
45080w1 |
45080.v |
45080w |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$3.035454$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$6.24480$ |
$[0, 1, 0, -101505721, 393592275355]$ |
\(y^2=x^3+x^2-101505721x+393592275355\) |
70.2.0.a.1 |
$[]$ |
| 51520.p1 |
51520bq1 |
51520.p |
51520bq |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.910983212$ |
$1$ |
|
$2$ |
$1152000$ |
$2.409073$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.47515$ |
$[0, -1, 0, -8286181, 9183545981]$ |
\(y^2=x^3-x^2-8286181x+9183545981\) |
70.2.0.a.1 |
$[(1660, 161)]$ |
| 51520.bu1 |
51520g1 |
51520.bu |
51520g |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1152000$ |
$2.409073$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.47515$ |
$[0, 1, 0, -8286181, -9183545981]$ |
\(y^2=x^3+x^2-8286181x-9183545981\) |
70.2.0.a.1 |
$[]$ |
| 57960.f1 |
57960h1 |
57960.f |
57960h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2160000$ |
$2.611805$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.63817$ |
$[0, 0, 0, -18643908, 30985145732]$ |
\(y^2=x^3-18643908x+30985145732\) |
70.2.0.a.1 |
$[]$ |
| 64400.q1 |
64400h1 |
64400.q |
64400h |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 5^{11} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$2.867218$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.86132$ |
$[0, -1, 0, -51788633, 143467011637]$ |
\(y^2=x^3-x^2-51788633x+143467011637\) |
70.2.0.a.1 |
$[]$ |
| 90160.bb1 |
90160e1 |
90160.bb |
90160e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912000$ |
$3.035454$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.86541$ |
$[0, -1, 0, -101505721, -393592275355]$ |
\(y^2=x^3-x^2-101505721x-393592275355\) |
70.2.0.a.1 |
$[]$ |
| 115920.by1 |
115920y1 |
115920.by |
115920y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4320000$ |
$2.611805$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.30302$ |
$[0, 0, 0, -18643908, -30985145732]$ |
\(y^2=x^3-18643908x-30985145732\) |
70.2.0.a.1 |
$[]$ |
| 148120.m1 |
148120j1 |
148120.m |
148120j |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{5} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38016000$ |
$3.630249$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$6.22034$ |
$[0, -1, 0, -1095847481, 13963190027725]$ |
\(y^2=x^3-x^2-1095847481x+13963190027725\) |
70.2.0.a.1 |
$[]$ |
| 225400.bd1 |
225400by1 |
225400.bd |
225400by |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.089703103$ |
$1$ |
|
$12$ |
$82944000$ |
$3.840176$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$6.21283$ |
$[0, -1, 0, -2537643033, 49204109705437]$ |
\(y^2=x^3-x^2-2537643033x+49204109705437\) |
70.2.0.a.1 |
$[(28677, 120050), (28987, 28750)]$ |
| 257600.cd1 |
257600cd1 |
257600.cd |
257600cd |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{11} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$27648000$ |
$3.213791$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.54295$ |
$[0, -1, 0, -207154533, -1147528938563]$ |
\(y^2=x^3-x^2-207154533x-1147528938563\) |
70.2.0.a.1 |
$[]$ |
| 257600.ee1 |
257600ee1 |
257600.ee |
257600ee |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{11} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$7.801332288$ |
$1$ |
|
$0$ |
$27648000$ |
$3.213791$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.54295$ |
$[0, 1, 0, -207154533, 1147528938563]$ |
\(y^2=x^3+x^2-207154533x+1147528938563\) |
70.2.0.a.1 |
$[(2406142/17, 12701875/17)]$ |
| 289800.dk1 |
289800dk1 |
289800.dk |
289800dk |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{11} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.586472543$ |
$1$ |
|
$4$ |
$51840000$ |
$3.416527$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.68447$ |
$[0, 0, 0, -466097700, 3873143216500]$ |
\(y^2=x^3-466097700x+3873143216500\) |
70.2.0.a.1 |
$[(12780, 61250)]$ |
| 296240.ci1 |
296240ci1 |
296240.ci |
296240ci |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{5} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$76032000$ |
$3.630249$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.87812$ |
$[0, 1, 0, -1095847481, -13963190027725]$ |
\(y^2=x^3+x^2-1095847481x-13963190027725\) |
70.2.0.a.1 |
$[]$ |
| 360640.cx1 |
360640cx1 |
360640.cx |
360640cx |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296000$ |
$3.382030$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.55497$ |
$[0, -1, 0, -406022885, 3149144225725]$ |
\(y^2=x^3-x^2-406022885x+3149144225725\) |
70.2.0.a.1 |
$[]$ |
| 360640.gj1 |
360640gj1 |
360640.gj |
360640gj |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$55296000$ |
$3.382030$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.55497$ |
$[0, 1, 0, -406022885, -3149144225725]$ |
\(y^2=x^3+x^2-406022885x-3149144225725\) |
70.2.0.a.1 |
$[]$ |
| 405720.ew1 |
405720ew1 |
405720.ew |
405720ew |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680000$ |
$3.584763$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.69270$ |
$[0, 0, 0, -913551492, -10627904986076]$ |
\(y^2=x^3-913551492x-10627904986076\) |
70.2.0.a.1 |
$[]$ |
| 450800.em1 |
450800em1 |
450800.em |
450800em |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$46.88499456$ |
$1$ |
|
$0$ |
$165888000$ |
$3.840176$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.88205$ |
$[0, 1, 0, -2537643033, -49204109705437]$ |
\(y^2=x^3+x^2-2537643033x-49204109705437\) |
70.2.0.a.1 |
$[(40257957721361874561622/828272887, 1130938635028775006320875131031875/828272887)]$ |
| 463680.jl1 |
463680jl1 |
463680.jl |
463680jl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$4.364875756$ |
$1$ |
|
$2$ |
$34560000$ |
$2.958382$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.05831$ |
$[0, 0, 0, -74575632, 247881165856]$ |
\(y^2=x^3-74575632x+247881165856\) |
70.2.0.a.1 |
$[(5577, 73715)]$ |
| 463680.me1 |
463680me1 |
463680.me |
463680me |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560000$ |
$2.958382$ |
$-3840316976122235063296/27784071875$ |
$1.00070$ |
$5.05831$ |
$[0, 0, 0, -74575632, -247881165856]$ |
\(y^2=x^3-74575632x-247881165856\) |
70.2.0.a.1 |
$[]$ |
