| 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 |
Manin constant |
| 4290.b2 |
4290b2 |
4290.b |
4290b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$337920$ |
$2.967636$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.46410$ |
$[1, 1, 0, -22721088, 41643528192]$ |
\(y^2+xy=x^3+x^2-22721088x+41643528192\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 12870.bx2 |
12870by2 |
12870.bx |
12870by |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2703360$ |
$3.516945$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.29412$ |
$[1, -1, 1, -204489797, -1124579750979]$ |
\(y^2+xy+y=x^3-x^2-204489797x-1124579750979\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 21450.cr2 |
21450cq2 |
21450.cr |
21450cq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$0.540788397$ |
$1$ |
|
$16$ |
$8110080$ |
$3.772354$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.22783$ |
$[1, 0, 0, -568027213, 5206577078417]$ |
\(y^2+xy=x^3-568027213x+5206577078417\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 88.12.0.?, $\ldots$ |
$[(3458, 1810367)]$ |
$1$ |
| 34320.bl2 |
34320br2 |
34320.bl |
34320br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{34} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$47.93178543$ |
$1$ |
|
$3$ |
$8110080$ |
$3.660786$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.77435$ |
$[0, 1, 0, -363537416, -2665912879116]$ |
\(y^2=x^3+x^2-363537416x-2665912879116\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.2, 44.12.0-2.a.1.1, $\ldots$ |
$[(58976477708714639257108/1472153593, 8792114115033617659409121737718006/1472153593)]$ |
$1$ |
| 47190.bs2 |
47190bs2 |
47190.bs |
47190bs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 11^{12} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$40550400$ |
$4.166588$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.13788$ |
$[1, 1, 1, -2749251711, -55441282282011]$ |
\(y^2+xy+y=x^3+x^2-2749251711x-55441282282011\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 55770.ci2 |
55770cd2 |
55770.ci |
55770cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$2.421843694$ |
$1$ |
|
$12$ |
$56770560$ |
$4.250114$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.12048$ |
$[1, 1, 1, -3839863960, 91510030757465]$ |
\(y^2+xy+y=x^3+x^2-3839863960x+91510030757465\) |
2.6.0.a.1, 24.12.0.a.1, 88.12.0.?, 104.12.0.?, 132.12.0.?, $\ldots$ |
$[(36613, 35773)]$ |
$1$ |
| 64350.bi2 |
64350be2 |
64350.bi |
64350be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{10} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$16.18805463$ |
$1$ |
|
$2$ |
$64880640$ |
$4.321663$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.10600$ |
$[1, -1, 0, -5112244917, -140577581117259]$ |
\(y^2+xy=x^3-x^2-5112244917x-140577581117259\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 88.12.0.?, 120.24.0.?, $\ldots$ |
$[(39854049729/89, 7953673002283047/89)]$ |
$1$ |
| 102960.dk2 |
102960el2 |
102960.dk |
102960el |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{34} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$3.266778371$ |
$1$ |
|
$7$ |
$64880640$ |
$4.210091$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.70064$ |
$[0, 0, 0, -3271836747, 71976375899386]$ |
\(y^2=x^3-3271836747x+71976375899386\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(31967, 228690)]$ |
$1$ |
| 137280.cz2 |
137280ch2 |
137280.cz |
137280ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{40} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$6.106919640$ |
$1$ |
|
$5$ |
$64880640$ |
$4.007355$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.33204$ |
$[0, -1, 0, -1454149665, -21325848883263]$ |
\(y^2=x^3-x^2-1454149665x-21325848883263\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(480839, 332343440)]$ |
$1$ |
| 137280.gn2 |
137280el2 |
137280.gn |
137280el |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{40} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$64880640$ |
$4.007355$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.33204$ |
$[0, 1, 0, -1454149665, 21325848883263]$ |
\(y^2=x^3+x^2-1454149665x+21325848883263\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 141570.ce2 |
141570dc2 |
141570.ce |
141570dc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 11^{12} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$264$ |
$48$ |
$0$ |
$7.461942217$ |
$1$ |
|
$4$ |
$324403200$ |
$4.715889$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.03248$ |
$[1, -1, 0, -24743265399, 1496889878348893]$ |
\(y^2+xy=x^3-x^2-24743265399x+1496889878348893\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 44.12.0-2.a.1.1, $\ldots$ |
$[(87743, 1119986)]$ |
$1$ |
| 167310.q2 |
167310eh2 |
167310.q |
167310eh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$15.63437563$ |
$1$ |
|
$2$ |
$454164480$ |
$4.799416$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$7.01814$ |
$[1, -1, 0, -34558775640, -2470805389227200]$ |
\(y^2+xy=x^3-x^2-34558775640x-2470805389227200\) |
2.6.0.a.1, 24.12.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(2908616435/97, 116692411025915/97)]$ |
$1$ |
| 171600.cg2 |
171600ei2 |
171600.cg |
171600ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{34} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$19.96657340$ |
$1$ |
|
$3$ |
$194641920$ |
$4.465500$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.67095$ |
$[0, -1, 0, -9088435408, -333220933018688]$ |
\(y^2=x^3-x^2-9088435408x-333220933018688\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 88.12.0.?, $\ldots$ |
$[(30116395842/191, 5189894648623750/191)]$ |
$1$ |
| 210210.ck2 |
210210de2 |
210210.ck |
210210de |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$129761280$ |
$3.940594$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.04653$ |
$[1, 0, 1, -1113333338, -14287070169844]$ |
\(y^2+xy+y=x^3-1113333338x-14287070169844\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 235950.di2 |
235950di2 |
235950.di |
235950di |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{10} \cdot 11^{12} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$102.3641613$ |
$1$ |
|
$2$ |
$973209600$ |
$4.971306$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.98985$ |
$[1, 0, 1, -68731292776, -6930022822665802]$ |
\(y^2+xy+y=x^3-68731292776x-6930022822665802\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 88.12.0.?, 120.24.0.?, $\ldots$ |
$[(124488400877636366416623397558454888416534086328/277835305671103052107, 43284792108841837446954318352331395971371247285579786778421016816231743/277835305671103052107)]$ |
$1$ |
| 278850.db2 |
278850db2 |
278850.db |
278850db |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$2$ |
$1362493440$ |
$5.054832$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.97666$ |
$[1, 0, 1, -95996599001, 11438945837881148]$ |
\(y^2+xy+y=x^3-95996599001x+11438945837881148\) |
2.6.0.a.1, 24.12.0.a.1, 88.12.0.?, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 377520.ex2 |
377520ex2 |
377520.ex |
377520ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{34} \cdot 3^{2} \cdot 5^{4} \cdot 11^{12} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$24.92262735$ |
$1$ |
|
$3$ |
$973209600$ |
$4.859734$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.62975$ |
$[0, 1, 0, -43988027376, 3548154089993940]$ |
\(y^2=x^3+x^2-43988027376x+3548154089993940\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(1535168676339/3707, 270875978414289612/3707)]$ |
$1$ |
| 411840.dd2 |
411840dd2 |
411840.dd |
411840dd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{40} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$519045120$ |
$4.556664$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.30383$ |
$[0, 0, 0, -13087346988, 575811007195088]$ |
\(y^2=x^3-13087346988x+575811007195088\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.2, 44.12.0-2.a.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 411840.dr2 |
411840dr2 |
411840.dr |
411840dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{40} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$519045120$ |
$4.556664$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.30383$ |
$[0, 0, 0, -13087346988, -575811007195088]$ |
\(y^2=x^3-13087346988x-575811007195088\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 446160.ii2 |
446160ii2 |
446160.ii |
446160ii |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{34} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$29.85405525$ |
$1$ |
|
$3$ |
$1362493440$ |
$4.943260$ |
$1297212465095901089487274249/1193746061037404160000$ |
$1.03381$ |
$6.62166$ |
$[0, 1, 0, -61437823360, -5856764844124492]$ |
\(y^2=x^3+x^2-61437823360x-5856764844124492\) |
2.6.0.a.1, 24.12.0.a.1, 88.12.0.?, 104.12.0.?, 132.12.0.?, $\ldots$ |
$[(18772781377252036/77921, 2563596216090119324816130/77921)]$ |
$1$ |
