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 |
10626.p4 |
10626r6 |
10626.p |
10626r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.137 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$819200$ |
$2.965595$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.35278$ |
$[1, 0, 0, -1977394, -7125687370]$ |
\(y^2+xy=x^3-1977394x-7125687370\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.6, 16.96.0-16.e.1.6, 184.96.0.?, $\ldots$ |
$[]$ |
31878.u4 |
31878v5 |
31878.u |
31878v |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2 \cdot 3^{8} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1104$ |
$192$ |
$1$ |
$1.285097351$ |
$1$ |
|
$2$ |
$6553600$ |
$3.514900$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.31541$ |
$[1, -1, 0, -17796546, 192393558990]$ |
\(y^2+xy=x^3-x^2-17796546x+192393558990\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.1, 16.48.0.e.1, $\ldots$ |
$[(15, 438315)]$ |
74382.bg4 |
74382x5 |
74382.bg |
74382x |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2 \cdot 3^{2} \cdot 7^{8} \cdot 11^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$2576$ |
$192$ |
$1$ |
$66.14139402$ |
$1$ |
|
$0$ |
$39321600$ |
$3.938549$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.29158$ |
$[1, 1, 1, -96892307, 2444013875603]$ |
\(y^2+xy+y=x^3+x^2-96892307x+2444013875603\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-185355173139279142872503491039/3895200222160, 79755208209244390732165925832297142333773161/3895200222160)]$ |
85008.f4 |
85008bm5 |
85008.f |
85008bm |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{13} \cdot 3^{2} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.91 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$19660800$ |
$3.658741$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$5.92175$ |
$[0, -1, 0, -31638304, 456043991680]$ |
\(y^2=x^3-x^2-31638304x+456043991680\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.k.1.2, 16.96.0-16.e.1.2, 184.96.0.?, $\ldots$ |
$[]$ |
116886.m4 |
116886l5 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{22} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$4048$ |
$192$ |
$1$ |
$19.45167379$ |
$1$ |
|
$0$ |
$98304000$ |
$4.164543$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.28029$ |
$[1, 0, 1, -239264677, 9484050624794]$ |
\(y^2+xy+y=x^3-239264677x+9484050624794\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(-91378529/118, 5397848207315/118)]$ |
223146.o4 |
223146cq5 |
223146.o |
223146cq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2 \cdot 3^{8} \cdot 7^{8} \cdot 11^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$7728$ |
$192$ |
$1$ |
$7.381635204$ |
$1$ |
|
$0$ |
$314572800$ |
$4.487854$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.26557$ |
$[1, -1, 0, -872030763, -65989246672049]$ |
\(y^2+xy=x^3-x^2-872030763x-65989246672049\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 84.12.0.?, $\ldots$ |
$[(1075373/4, 854131043/4)]$ |
244398.bq4 |
244398bq6 |
244398.bq |
244398bq |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( - 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{16} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.213 |
2B |
$368$ |
$192$ |
$1$ |
$26.94509950$ |
$1$ |
|
$0$ |
$432537600$ |
$4.533340$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.26363$ |
$[1, 0, 0, -1046041437, 86696146147923]$ |
\(y^2+xy=x^3-1046041437x+86696146147923\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.3, 16.96.0-16.e.1.7, 92.12.0.?, $\ldots$ |
$[(-8089043522859/16060, 39067108395762481281/16060)]$ |
255024.ec4 |
255024ec5 |
255024.ec |
255024ec |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{13} \cdot 3^{8} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1104$ |
$192$ |
$1$ |
$16.66488469$ |
$1$ |
|
$1$ |
$157286400$ |
$4.208046$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$5.92865$ |
$[0, 0, 0, -284744739, -12312903030622]$ |
\(y^2=x^3-284744739x-12312903030622\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.2, 16.48.0.e.1, $\ldots$ |
$[(794056201/143, 17344661648328/143)]$ |
265650.r4 |
265650r5 |
265650.r |
265650r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$104857600$ |
$3.770313$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$5.48871$ |
$[1, 1, 0, -49434850, -890710921250]$ |
\(y^2+xy=x^3+x^2-49434850x-890710921250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
340032.cv4 |
340032cv5 |
340032.cv |
340032cv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{19} \cdot 3^{2} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.111 |
2B |
$368$ |
$192$ |
$1$ |
$17.06584878$ |
$1$ |
|
$3$ |
$157286400$ |
$4.005318$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$5.60374$ |
$[0, -1, 0, -126553217, -3648225380223]$ |
\(y^2=x^3-x^2-126553217x-3648225380223\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.k.1.5, 16.96.0-16.e.1.5, 184.96.0.?, $\ldots$ |
$[(68217469/2, 563434318265/2)]$ |
340032.fu4 |
340032fu6 |
340032.fu |
340032fu |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{19} \cdot 3^{2} \cdot 7^{2} \cdot 11^{16} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.157 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$157286400$ |
$4.005318$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$5.60374$ |
$[0, 1, 0, -126553217, 3648225380223]$ |
\(y^2=x^3+x^2-126553217x+3648225380223\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.1, 16.96.0-16.e.1.1, 184.96.0.?, $\ldots$ |
$[]$ |
350658.dx4 |
350658dx5 |
350658.dx |
350658dx |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 3^{8} \cdot 7^{2} \cdot 11^{22} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$12144$ |
$192$ |
$1$ |
$115.0078241$ |
$1$ |
|
$0$ |
$786432000$ |
$4.713852$ |
$-855073332201294509246497/21439133060285771735058$ |
$1.08556$ |
$6.25617$ |
$[1, -1, 1, -2153382089, -256069366869445]$ |
\(y^2+xy+y=x^3-x^2-2153382089x-256069366869445\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 132.12.0.?, $\ldots$ |
$[(172215108098694069639926001373596666943972115794287/45198766481489154484418, 1169332908498706998780081080163680753918443575440827941884303678226630751631/45198766481489154484418)]$ |