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 |
17160.a1 |
17160b4 |
17160.a |
17160b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$2.587345$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.44029$ |
$[0, -1, 0, -25660856, 50041356300]$ |
\(y^2=x^3-x^2-25660856x+50041356300\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
34320.bw1 |
34320t4 |
34320.bw |
34320t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$2.587345$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.01284$ |
$[0, 1, 0, -25660856, -50041356300]$ |
\(y^2=x^3+x^2-25660856x-50041356300\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
51480.bb1 |
51480bu4 |
51480.bb |
51480bu |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$5505024$ |
$3.136654$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.39571$ |
$[0, 0, 0, -230947707, -1350885672394]$ |
\(y^2=x^3-230947707x-1350885672394\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$ |
$[]$ |
85800.cy1 |
85800cp4 |
85800.cy |
85800cp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$4.895653091$ |
$1$ |
|
$1$ |
$16515072$ |
$3.392067$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.37791$ |
$[0, 1, 0, -641521408, 6253886494688]$ |
\(y^2=x^3+x^2-641521408x+6253886494688\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[(59717/2, 515025/2)]$ |
102960.eq1 |
102960bi4 |
102960.eq |
102960bi |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$11010048$ |
$3.136654$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.01162$ |
$[0, 0, 0, -230947707, 1350885672394]$ |
\(y^2=x^3-230947707x+1350885672394\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$ |
$[]$ |
137280.dk1 |
137280cu4 |
137280.dk |
137280cu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$19.91955825$ |
$4$ |
$2$ |
$1$ |
$11010048$ |
$2.933918$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$5.65978$ |
$[0, -1, 0, -102643425, -400228206975]$ |
\(y^2=x^3-x^2-102643425x-400228206975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(1465034695/303, 39585672299600/303)]$ |
137280.fu1 |
137280dw3 |
137280.fu |
137280dw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$4.285761096$ |
$1$ |
|
$13$ |
$11010048$ |
$2.933918$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$5.65978$ |
$[0, 1, 0, -102643425, 400228206975]$ |
\(y^2=x^3+x^2-102643425x+400228206975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(5850, 135), (5913, 8496)]$ |
171600.k1 |
171600hb4 |
171600.k |
171600hb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$33030144$ |
$3.392067$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.01113$ |
$[0, -1, 0, -641521408, -6253886494688]$ |
\(y^2=x^3-x^2-641521408x-6253886494688\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
188760.ba1 |
188760bn4 |
188760.ba |
188760bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$82.21584678$ |
$1$ |
|
$1$ |
$82575360$ |
$3.786293$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.35339$ |
$[0, -1, 0, -3104963616, -66592625380884]$ |
\(y^2=x^3-x^2-3104963616x-66592625380884\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[(4515106761781519631313171422005163017/5775790708967097, 8600653077509627515073688490657581332626524444117824438/5775790708967097)]$ |
223080.cb1 |
223080be3 |
223080.cb |
223080be |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$115605504$ |
$3.869820$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.34859$ |
$[0, -1, 0, -4336684720, 109923513052300]$ |
\(y^2=x^3-x^2-4336684720x+109923513052300\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
257400.ej1 |
257400ej4 |
257400.ej |
257400ej |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{13} \cdot 5^{8} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$70.17004512$ |
$1$ |
|
$1$ |
$132120576$ |
$3.941372$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.34459$ |
$[0, 0, 0, -5773692675, -168860709049250]$ |
\(y^2=x^3-5773692675x-168860709049250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[(11369100077086684783762867367670/8982155076133, 30880133135199767387278060535494091699822740550/8982155076133)]$ |
377520.dy1 |
377520dy3 |
377520.dy |
377520dy |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$2.991993361$ |
$1$ |
|
$5$ |
$165150720$ |
$3.786293$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.01045$ |
$[0, 1, 0, -3104963616, 66592625380884]$ |
\(y^2=x^3+x^2-3104963616x+66592625380884\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[(32172, 342)]$ |
411840.i1 |
411840i4 |
411840.i |
411840i |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$88080384$ |
$3.483227$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$5.68869$ |
$[0, 0, 0, -923790828, -10807085379152]$ |
\(y^2=x^3-923790828x-10807085379152\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
411840.gi1 |
411840gi3 |
411840.gi |
411840gi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$88080384$ |
$3.483227$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$5.68869$ |
$[0, 0, 0, -923790828, 10807085379152]$ |
\(y^2=x^3-923790828x+10807085379152\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
446160.gw1 |
446160gw4 |
446160.gw |
446160gw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$4.632856628$ |
$4$ |
$2$ |
$3$ |
$231211008$ |
$3.869820$ |
$912446049969377120252018/17177299425$ |
$1.01331$ |
$6.01031$ |
$[0, 1, 0, -4336684720, -109923513052300]$ |
\(y^2=x^3+x^2-4336684720x-109923513052300\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[(76223, 1542294)]$ |