| 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 |
| 4290.bb7 |
4290bb1 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$17160$ |
$384$ |
$5$ |
$2.145205242$ |
$1$ |
|
$13$ |
$13824$ |
$1.236206$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.73969$ |
$[1, 0, 0, -11420, -450288]$ |
\(y^2+xy=x^3-11420x-450288\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$ |
$[(-68, 148)]$ |
| 12870.c7 |
12870p1 |
12870.c |
12870p |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.785511$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.88601$ |
$[1, -1, 0, -102780, 12157776]$ |
\(y^2+xy=x^3-x^2-102780x+12157776\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
| 21450.r7 |
21450d1 |
21450.r |
21450d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$8.949379149$ |
$1$ |
|
$1$ |
$331776$ |
$2.040924$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.94307$ |
$[1, 1, 0, -285500, -56286000]$ |
\(y^2+xy=x^3+x^2-285500x-56286000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-42335/11, 1514455/11)]$ |
| 34320.bb7 |
34320bn1 |
34320.bb |
34320bn |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$5.762060812$ |
$1$ |
|
$3$ |
$331776$ |
$1.929352$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.59241$ |
$[0, -1, 0, -182720, 28818432]$ |
\(y^2=x^3-x^2-182720x+28818432\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[(337, 2324)]$ |
| 47190.bl7 |
47190bh1 |
47190.bl |
47190bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$2.435154$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.02050$ |
$[1, 0, 1, -1381823, 597951506]$ |
\(y^2+xy+y=x^3-1381823x+597951506\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 55770.bc7 |
55770bc1 |
55770.bc |
55770bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$8.044455396$ |
$1$ |
|
$1$ |
$2322432$ |
$2.518681$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.03548$ |
$[1, 0, 1, -1929984, -987352754]$ |
\(y^2+xy+y=x^3-1929984x-987352754\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(192289/3, 83849537/3)]$ |
| 64350.fe7 |
64350el1 |
64350.fe |
64350el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{9} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.590229$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.04794$ |
$[1, -1, 1, -2569505, 1517152497]$ |
\(y^2+xy+y=x^3-x^2-2569505x+1517152497\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 102960.ci7 |
102960dj1 |
102960.ci |
102960dj |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{36} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2654208$ |
$2.478657$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.72639$ |
$[0, 0, 0, -1644483, -776453182]$ |
\(y^2=x^3-1644483x-776453182\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[]$ |
| 137280.e7 |
137280gn1 |
137280.e |
137280gn |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{42} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2654208$ |
$2.275925$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.40580$ |
$[0, -1, 0, -730881, -229816575]$ |
\(y^2=x^3-x^2-730881x-229816575\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 137280.fi7 |
137280bs1 |
137280.fi |
137280bs |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{42} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$11.81656552$ |
$1$ |
|
$1$ |
$2654208$ |
$2.275925$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.40580$ |
$[0, 1, 0, -730881, 229816575]$ |
\(y^2=x^3+x^2-730881x+229816575\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[(275109/14, 121829721/14)]$ |
| 141570.dp7 |
141570ca1 |
141570.dp |
141570ca |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$2.984459$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.11123$ |
$[1, -1, 1, -12436403, -16144690669]$ |
\(y^2+xy+y=x^3-x^2-12436403x-16144690669\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 167310.fr7 |
167310w1 |
167310.fr |
167310w |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$18579456$ |
$3.067986$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.12358$ |
$[1, -1, 1, -17369852, 26658524351]$ |
\(y^2+xy+y=x^3-x^2-17369852x+26658524351\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
| 171600.el7 |
171600bg1 |
171600.el |
171600bg |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{36} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.734070$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.78037$ |
$[0, 1, 0, -4568008, 3593167988]$ |
\(y^2=x^3+x^2-4568008x+3593167988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 210210.cs7 |
210210da1 |
210210.cs |
210210da |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$2.928720341$ |
$1$ |
|
$5$ |
$3981312$ |
$2.209160$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.18726$ |
$[1, 1, 1, -559581, 153889203]$ |
\(y^2+xy+y=x^3+x^2-559581x+153889203\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(759, 12548)]$ |
| 235950.eq7 |
235950eq1 |
235950.eq |
235950eq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$39813120$ |
$3.239872$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.14793$ |
$[1, 1, 1, -34545563, 74743938281]$ |
\(y^2+xy+y=x^3+x^2-34545563x+74743938281\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
| 278850.ey7 |
278850ey1 |
278850.ey |
278850ey |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$7.014498953$ |
$1$ |
|
$3$ |
$55738368$ |
$3.323399$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$5.15928$ |
$[1, 1, 1, -48249588, -123419094219]$ |
\(y^2+xy+y=x^3+x^2-48249588x-123419094219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-3519, 54765)]$ |
| 377520.bu7 |
377520bu1 |
377520.bu |
377520bu |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$39813120$ |
$3.128300$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.85525$ |
$[0, -1, 0, -22109160, -38268896400]$ |
\(y^2=x^3-x^2-22109160x-38268896400\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 411840.hc7 |
411840hc1 |
411840.hc |
411840hc |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{42} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$8.526258279$ |
$1$ |
|
$1$ |
$21233664$ |
$2.825233$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.54127$ |
$[0, 0, 0, -6577932, 6211625456]$ |
\(y^2=x^3-6577932x+6211625456\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(44257/4, 6132015/4)]$ |
| 411840.nt7 |
411840nt1 |
411840.nt |
411840nt |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{42} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$10.65420815$ |
$1$ |
|
$1$ |
$21233664$ |
$2.825233$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.54127$ |
$[0, 0, 0, -6577932, -6211625456]$ |
\(y^2=x^3-6577932x-6211625456\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-314407/16, 15641955/16)]$ |
| 446160.a7 |
446160a1 |
446160.a |
446160a |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$55738368$ |
$3.211826$ |
$164711681450297281/8097103872000$ |
$0.95859$ |
$4.86995$ |
$[0, -1, 0, -30879736, 63190576240]$ |
\(y^2=x^3-x^2-30879736x+63190576240\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[]$ |
