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 |
10010.a3 |
10010f2 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$483840$ |
$2.690781$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.07563$ |
$[1, 0, 1, -2633144, 1164731142]$ |
\(y^2+xy+y=x^3-2633144x+1164731142\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
50050.cg3 |
50050bm2 |
50050.cg |
50050bm |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 5^{8} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1.163793389$ |
$1$ |
|
$2$ |
$11612160$ |
$3.495499$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.06438$ |
$[1, 1, 1, -65828588, 145591392781]$ |
\(y^2+xy+y=x^3+x^2-65828588x+145591392781\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(8645, 467577)]$ |
70070.z3 |
70070w2 |
70070.z |
70070w |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{9} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23224320$ |
$3.663738$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.06244$ |
$[1, 1, 0, -129024032, -399631805824]$ |
\(y^2+xy=x^3+x^2-129024032x-399631805824\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.12, $\ldots$ |
$[]$ |
80080.bq3 |
80080v2 |
80080.bq |
80080v |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$16.92592724$ |
$1$ |
|
$1$ |
$11612160$ |
$3.383930$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.69336$ |
$[0, -1, 0, -42130296, -74542793104]$ |
\(y^2=x^3-x^2-42130296x-74542793104\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 56.6.0.a.1, $\ldots$ |
$[(-837644548/413, 8303960478528/413)]$ |
90090.dp3 |
90090dr2 |
90090.dp |
90090dr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$3.240089$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.48328$ |
$[1, -1, 1, -23698292, -31447740841]$ |
\(y^2+xy+y=x^3-x^2-23698292x-31447740841\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
110110.bo3 |
110110bs2 |
110110.bo |
110110bs |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{18} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$96$ |
$1$ |
$4.918107158$ |
$1$ |
|
$2$ |
$58060800$ |
$3.889729$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.06001$ |
$[1, 0, 0, -318610366, -1550575760700]$ |
\(y^2+xy=x^3-318610366x-1550575760700\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 56.6.0.a.1, $\ldots$ |
$[(-14444, 202274)]$ |
130130.bp3 |
130130bp2 |
130130.bp |
130130bp |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$5.579111063$ |
$1$ |
|
$2$ |
$81285120$ |
$3.973255$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.05916$ |
$[1, 0, 0, -445001255, 2559359320777]$ |
\(y^2+xy=x^3-445001255x+2559359320777\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 56.6.0.a.1, $\ldots$ |
$[(45124, 8600663)]$ |
320320.bc3 |
320320bc2 |
320320.bc |
320320bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{25} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$92897280$ |
$3.730503$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.39883$ |
$[0, 1, 0, -168521185, -596510866017]$ |
\(y^2=x^3+x^2-168521185x-596510866017\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
320320.fm3 |
320320fm2 |
320320.fm |
320320fm |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{25} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$19.52343135$ |
$1$ |
|
$1$ |
$92897280$ |
$3.730503$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.39883$ |
$[0, -1, 0, -168521185, 596510866017]$ |
\(y^2=x^3-x^2-168521185x+596510866017\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 56.6.0.a.1, $\ldots$ |
$[(16102550259/719, 1879449676513500/719)]$ |
350350.ek3 |
350350ek2 |
350350.ek |
350350ek |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 5^{8} \cdot 7^{9} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1.252582687$ |
$1$ |
|
$8$ |
$557383680$ |
$4.468452$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$6.05457$ |
$[1, 0, 0, -3225600813, -49947524526383]$ |
\(y^2+xy=x^3-3225600813x-49947524526383\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.a.1, 105.8.0.?, $\ldots$ |
$[(-44788, 2185269)]$ |
400400.u3 |
400400u2 |
400400.u |
400400u |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 5^{8} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$6.372056139$ |
$1$ |
|
$3$ |
$278691840$ |
$4.188644$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.73161$ |
$[0, 1, 0, -1053257408, -9319955652812]$ |
\(y^2=x^3+x^2-1053257408x-9319955652812\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.a.1, 60.24.0-6.a.1.4, $\ldots$ |
$[(59668, 11843650)]$ |
450450.o3 |
450450o2 |
450450.o |
450450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$278691840$ |
$4.044807$ |
$2019051077229077416165369/582160888682835862400$ |
$0.98873$ |
$5.54716$ |
$[1, -1, 0, -592457292, -3931560062384]$ |
\(y^2+xy=x^3-x^2-592457292x-3931560062384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |