| 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 |
| 1914.e1 |
1914e4 |
1914.e |
1914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$2552$ |
$48$ |
$0$ |
$1.544294384$ |
$1$ |
|
$4$ |
$1536$ |
$0.734504$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.85270$ |
$[1, 0, 1, -4242, 105964]$ |
\(y^2+xy+y=x^3-4242x+105964\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(38, -15)]$ |
| 5742.x1 |
5742v3 |
5742.x |
5742v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{8} \cdot 11 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.283810$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.99832$ |
$[1, -1, 1, -38174, -2861035]$ |
\(y^2+xy+y=x^3-x^2-38174x-2861035\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[ ]$ |
| 15312.b1 |
15312m3 |
15312.b |
15312m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{15} \cdot 3^{2} \cdot 11 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.427650$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.66870$ |
$[0, -1, 0, -67864, -6781712]$ |
\(y^2=x^3-x^2-67864x-6781712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 21054.bd1 |
21054bg4 |
21054.bd |
21054bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{7} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2552$ |
$48$ |
$0$ |
$3.890288359$ |
$1$ |
|
$2$ |
$184320$ |
$1.933451$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.12906$ |
$[1, 0, 0, -513224, -141551640]$ |
\(y^2+xy=x^3-513224x-141551640\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 232.24.0.?, 2552.48.0.? |
$[(1066, 22336)]$ |
| 45936.bl1 |
45936bv4 |
45936.bl |
45936bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{15} \cdot 3^{8} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$2.083190343$ |
$1$ |
|
$3$ |
$294912$ |
$1.976957$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.80494$ |
$[0, 0, 0, -610779, 183717002]$ |
\(y^2=x^3-610779x+183717002\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(106, 10962)]$ |
| 47850.bx1 |
47850bw4 |
47850.bx |
47850bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12760$ |
$48$ |
$0$ |
$1.912629161$ |
$1$ |
|
$4$ |
$196608$ |
$1.539223$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.29928$ |
$[1, 1, 1, -106038, 13245531]$ |
\(y^2+xy+y=x^3+x^2-106038x+13245531\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 88.12.0.?, 220.12.0.?, $\ldots$ |
$[(195, 77)]$ |
| 55506.y1 |
55506y4 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.418152$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.20635$ |
$[1, 1, 1, -3567119, 2591496317]$ |
\(y^2+xy+y=x^3+x^2-3567119x+2591496317\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 232.24.0.?, $\ldots$ |
$[ ]$ |
| 61248.y1 |
61248h4 |
61248.y |
61248h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{21} \cdot 3^{2} \cdot 11 \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.774225$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.45883$ |
$[0, -1, 0, -271457, 54525153]$ |
\(y^2=x^3-x^2-271457x+54525153\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 232.24.0.?, 2552.48.0.? |
$[ ]$ |
| 61248.ch1 |
61248cl4 |
61248.ch |
61248cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{21} \cdot 3^{2} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2552$ |
$48$ |
$0$ |
$10.86285715$ |
$1$ |
|
$1$ |
$294912$ |
$1.774225$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.45883$ |
$[0, 1, 0, -271457, -54525153]$ |
\(y^2=x^3+x^2-271457x-54525153\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 232.24.0.?, 2552.48.0.? |
$[(60301/10, 1189251/10)]$ |
| 63162.y1 |
63162u4 |
63162.y |
63162u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{7} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$2.556115803$ |
$1$ |
|
$0$ |
$1474560$ |
$2.482758$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.21562$ |
$[1, -1, 0, -4619016, 3821894280]$ |
\(y^2+xy=x^3-x^2-4619016x+3821894280\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 232.12.0.?, $\ldots$ |
$[(5127/2, 14475/2)]$ |
| 93786.q1 |
93786p4 |
93786.q |
93786p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17864$ |
$48$ |
$0$ |
$5.199567423$ |
$1$ |
|
$2$ |
$589824$ |
$1.707458$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.22291$ |
$[1, 1, 0, -207834, -36553572]$ |
\(y^2+xy=x^3+x^2-207834x-36553572\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 88.12.0.?, 232.12.0.?, $\ldots$ |
$[(4991, 348622)]$ |
| 143550.bj1 |
143550ej4 |
143550.bj |
143550ej |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{6} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$38280$ |
$48$ |
$0$ |
$3.077767165$ |
$1$ |
|
$4$ |
$1572864$ |
$2.088528$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.45663$ |
$[1, -1, 0, -954342, -358583684]$ |
\(y^2+xy=x^3-x^2-954342x-358583684\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 232.12.0.?, $\ldots$ |
$[(-561, 368)]$ |
| 166518.y1 |
166518bx4 |
166518.y |
166518bx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11 \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$27.26433881$ |
$1$ |
|
$0$ |
$10321920$ |
$2.967457$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.27887$ |
$[1, -1, 0, -32104071, -70002504635]$ |
\(y^2+xy=x^3-x^2-32104071x-70002504635\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 232.12.0.?, $\ldots$ |
$[(1386134209991/14555, 5500286513557621/14555)]$ |
| 168432.h1 |
168432bh3 |
168432.h |
168432bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{7} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4423680$ |
$2.626598$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.93397$ |
$[0, -1, 0, -8211584, 9059304960]$ |
\(y^2=x^3-x^2-8211584x+9059304960\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 232.24.0.?, 2552.48.0.? |
$[ ]$ |
| 183744.be1 |
183744n3 |
183744.be |
183744n |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{21} \cdot 3^{8} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1.583362534$ |
$1$ |
|
$7$ |
$2359296$ |
$2.323532$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.59851$ |
$[0, 0, 0, -2443116, 1469736016]$ |
\(y^2=x^3-2443116x+1469736016\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 232.12.0.?, $\ldots$ |
$[(890, 576)]$ |
| 183744.bh1 |
183744cr4 |
183744.bh |
183744cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{21} \cdot 3^{8} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$13.98684971$ |
$1$ |
|
$1$ |
$2359296$ |
$2.323532$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.59851$ |
$[0, 0, 0, -2443116, -1469736016]$ |
\(y^2=x^3-2443116x-1469736016\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 232.12.0.?, $\ldots$ |
$[(3546241/4, 6677925057/4)]$ |
| 281358.cz1 |
281358cz3 |
281358.cz |
281358cz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 2^{3} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$0.607230980$ |
$1$ |
|
$8$ |
$4718592$ |
$2.256763$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.37850$ |
$[1, -1, 1, -1870511, 985075935]$ |
\(y^2+xy+y=x^3-x^2-1870511x+985075935\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 168.12.0.?, 232.12.0.?, $\ldots$ |
$[(773, 396)]$ |
| 323466.do1 |
323466do3 |
323466.do |
323466do |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{6} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$33176$ |
$48$ |
$0$ |
$3.631436723$ |
$1$ |
|
$2$ |
$3538944$ |
$2.016979$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.10357$ |
$[1, 0, 0, -716817, 233520273]$ |
\(y^2+xy=x^3-716817x+233520273\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 232.12.0.?, $\ldots$ |
$[(1548, 52461)]$ |
| 382800.fx1 |
382800fx4 |
382800.fx |
382800fx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12760$ |
$48$ |
$0$ |
$4.281592021$ |
$4$ |
$2$ |
$3$ |
$4718592$ |
$2.232368$ |
$8438952173768857/560166552$ |
$0.96209$ |
$4.25087$ |
$[0, 1, 0, -1696608, -851107212]$ |
\(y^2=x^3+x^2-1696608x-851107212\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 88.12.0.?, 220.12.0.?, $\ldots$ |
$[(-748, 78)]$ |
| 444048.bt1 |
444048bt4 |
444048.bt |
444048bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 11 \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$30965760$ |
$3.111298$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.01344$ |
$[0, 1, 0, -57073904, -165969912108]$ |
\(y^2=x^3+x^2-57073904x-165969912108\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 232.24.0.?, $\ldots$ |
$[ ]$ |
