| 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.bb4 |
4290bb8 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$17160$ |
$384$ |
$5$ |
$6.435615726$ |
$1$ |
|
$2$ |
$165888$ |
$2.478657$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.37395$ |
$[1, 0, 0, -782080, -436614148]$ |
\(y^2+xy=x^3-782080x-436614148\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.2, 12.96.0-12.c.4.6, $\ldots$ |
$[(3844, 229078)]$ |
| 12870.c4 |
12870p8 |
12870.c |
12870p |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$1327104$ |
$3.027966$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.33053$ |
$[1, -1, 0, -7038720, 11788581996]$ |
\(y^2+xy=x^3-x^2-7038720x+11788581996\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.4.5, $\ldots$ |
$[]$ |
| 21450.r4 |
21450d7 |
21450.r |
21450d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{2} \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$26.84813744$ |
$1$ |
|
$0$ |
$3981312$ |
$3.283379$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.31360$ |
$[1, 1, 0, -19552000, -54576768500]$ |
\(y^2+xy=x^3+x^2-19552000x-54576768500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(10659560300745/16511, 34475703166212828715/16511)]$ |
| 34320.bb4 |
34320bn7 |
34320.bb |
34320bn |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1.920686937$ |
$1$ |
|
$7$ |
$3981312$ |
$3.171806$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.90126$ |
$[0, -1, 0, -12513280, 27943305472]$ |
\(y^2=x^3-x^2-12513280x+27943305472\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.4.8, $\ldots$ |
$[(1578, 110110)]$ |
| 47190.bl4 |
47190bh7 |
47190.bl |
47190bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 11^{18} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$19906560$ |
$3.677605$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.29063$ |
$[1, 0, 1, -94631683, 581038799306]$ |
\(y^2+xy+y=x^3-94631683x+581038799306\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 55770.bc4 |
55770bc7 |
55770.bc |
55770bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$6.033341547$ |
$1$ |
|
$0$ |
$27869184$ |
$3.761135$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.28619$ |
$[1, 0, 1, -132171524, -959109111634]$ |
\(y^2+xy+y=x^3-132171524x-959109111634\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.1, 12.96.0-12.c.4.4, $\ldots$ |
$[(195607/3, 68198051/3)]$ |
| 64350.fe4 |
64350el7 |
64350.fe |
64350el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{10} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$31850496$ |
$3.832684$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.28249$ |
$[1, -1, 1, -175968005, 1473396781497]$ |
\(y^2+xy+y=x^3-x^2-175968005x+1473396781497\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 102960.ci4 |
102960dj7 |
102960.ci |
102960dj |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31850496$ |
$3.721111$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.91066$ |
$[0, 0, 0, -112619523, -754356628222]$ |
\(y^2=x^3-112619523x-754356628222\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.4.7, $\ldots$ |
$[]$ |
| 137280.e4 |
137280gn8 |
137280.e |
137280gn |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{20} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$31850496$ |
$3.518379$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.56127$ |
$[0, -1, 0, -50053121, -223496390655]$ |
\(y^2=x^3-x^2-50053121x-223496390655\) |
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.1.3, $\ldots$ |
$[]$ |
| 137280.fi4 |
137280bs7 |
137280.fi |
137280bs |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{20} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$35.44969658$ |
$1$ |
|
$1$ |
$31850496$ |
$3.518379$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.56127$ |
$[0, 1, 0, -50053121, 223496390655]$ |
\(y^2=x^3+x^2-50053121x+223496390655\) |
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.1.4, $\ldots$ |
$[(4918564221631362/1231139, 575918438584769206263975/1231139)]$ |
| 141570.dp4 |
141570ca8 |
141570.dp |
141570ca |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 11^{18} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$159252480$ |
$4.226913$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.26371$ |
$[1, -1, 1, -851685143, -15688047581269]$ |
\(y^2+xy+y=x^3-x^2-851685143x-15688047581269\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 167310.fr4 |
167310w7 |
167310.fr |
167310w |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$222953472$ |
$4.310440$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.26004$ |
$[1, -1, 1, -1189543712, 25895946014111]$ |
\(y^2+xy+y=x^3-x^2-1189543712x+25895946014111\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.3, 12.96.0-12.c.4.3, $\ldots$ |
$[]$ |
| 171600.el4 |
171600bg7 |
171600.el |
171600bg |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$95551488$ |
$3.976524$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.91445$ |
$[0, 1, 0, -312832008, 3492287519988]$ |
\(y^2=x^3+x^2-312832008x+3492287519988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 210210.cs4 |
210210da7 |
210210.cs |
210210da |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 7^{6} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$8.786161023$ |
$4$ |
$2$ |
$0$ |
$47775744$ |
$3.451614$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.30256$ |
$[1, 1, 1, -38321921, 149720330843]$ |
\(y^2+xy+y=x^3+x^2-38321921x+149720330843\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(22439/2, 2646707/2)]$ |
| 235950.eq4 |
235950eq7 |
235950.eq |
235950eq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{2} \cdot 3 \cdot 5^{10} \cdot 11^{18} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$477757440$ |
$4.482323$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.25282$ |
$[1, 1, 1, -2365792063, 72629849913281]$ |
\(y^2+xy+y=x^3+x^2-2365792063x+72629849913281\) |
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, $\ldots$ |
$[]$ |
| 278850.ey4 |
278850ey8 |
278850.ey |
278850ey |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$21.04349685$ |
$1$ |
|
$0$ |
$668860416$ |
$4.565849$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$6.24945$ |
$[1, 1, 1, -3304288088, -119888638954219]$ |
\(y^2+xy+y=x^3+x^2-3304288088x-119888638954219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(25096730729/79, 3974410362744013/79)]$ |
| 377520.bu4 |
377520bu8 |
377520.bu |
377520bu |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 11^{18} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$477757440$ |
$4.370750$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.91970$ |
$[0, -1, 0, -1514106920, -37186483155600]$ |
\(y^2=x^3-x^2-1514106920x-37186483155600\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 411840.hc4 |
411840hc7 |
411840.hc |
411840hc |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$6.394693709$ |
$1$ |
|
$3$ |
$254803968$ |
$4.067688$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.59855$ |
$[0, 0, 0, -450478092, 6034853025776]$ |
\(y^2=x^3-450478092x+6034853025776\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(60382, 14106240)]$ |
| 411840.nt4 |
411840nt8 |
411840.nt |
411840nt |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$7.990656117$ |
$1$ |
|
$1$ |
$254803968$ |
$4.067688$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.59855$ |
$[0, 0, 0, -450478092, -6034853025776]$ |
\(y^2=x^3-450478092x-6034853025776\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(21427970/7, 99070354944/7)]$ |
| 446160.a4 |
446160a7 |
446160.a |
446160a |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$668860416$ |
$4.454277$ |
$-52902632853833942200321/51713453577420277500$ |
$1.01622$ |
$5.92073$ |
$[0, -1, 0, -2114744376, 61382983144560]$ |
\(y^2=x^3-x^2-2114744376x+61382983144560\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.4.2, $\ldots$ |
$[]$ |
