| 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 |
| 5160.m2 |
5160n2 |
5160.m |
5160n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$0.720959377$ |
$1$ |
|
$13$ |
$4608$ |
$0.934961$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.37320$ |
$[0, 1, 0, -5380, 149600]$ |
\(y^2=x^3+x^2-5380x+149600\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 516.24.0.?, 2580.48.0.? |
$[(50, 90)]$ |
| 10320.m2 |
10320e2 |
10320.m |
10320e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.934961$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.04520$ |
$[0, -1, 0, -5380, -149600]$ |
\(y^2=x^3-x^2-5380x-149600\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 516.24.0.?, 2580.48.0.? |
$[]$ |
| 15480.b2 |
15480d2 |
15480.b |
15480d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$7.006063275$ |
$1$ |
|
$3$ |
$36864$ |
$1.484268$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.55845$ |
$[0, 0, 0, -48423, -4087622]$ |
\(y^2=x^3-48423x-4087622\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.1, 172.12.0.?, $\ldots$ |
$[(19673/4, 2711709/4)]$ |
| 25800.h2 |
25800a2 |
25800.h |
25800a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$4.822383876$ |
$1$ |
|
$5$ |
$110592$ |
$1.739681$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.63095$ |
$[0, -1, 0, -134508, 18969012]$ |
\(y^2=x^3-x^2-134508x+18969012\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 516.24.0.?, 2580.48.0.? |
$[(-403, 2750)]$ |
| 30960.l2 |
30960c2 |
30960.l |
30960c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.484268$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.25289$ |
$[0, 0, 0, -48423, 4087622]$ |
\(y^2=x^3-48423x+4087622\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 172.12.0.?, $\ldots$ |
$[]$ |
| 41280.l2 |
41280a2 |
41280.l |
41280a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$2.653846840$ |
$1$ |
|
$9$ |
$73728$ |
$1.281534$ |
$67283921459536/260015625$ |
$1.00288$ |
$3.90887$ |
$[0, -1, 0, -21521, 1218321]$ |
\(y^2=x^3-x^2-21521x+1218321\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 516.12.0.?, $\ldots$ |
$[(73, 176)]$ |
| 41280.ce2 |
41280cy2 |
41280.ce |
41280cy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$73728$ |
$1.281534$ |
$67283921459536/260015625$ |
$1.00288$ |
$3.90887$ |
$[0, 1, 0, -21521, -1218321]$ |
\(y^2=x^3+x^2-21521x-1218321\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 516.12.0.?, $\ldots$ |
$[]$ |
| 51600.cz2 |
51600y2 |
51600.cz |
51600y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$15.79337762$ |
$1$ |
|
$3$ |
$221184$ |
$1.739681$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.33513$ |
$[0, 1, 0, -134508, -18969012]$ |
\(y^2=x^3+x^2-134508x-18969012\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 516.24.0.?, 2580.48.0.? |
$[(67759329/260, 513717999417/260)]$ |
| 77400.ba2 |
77400ba2 |
77400.ba |
77400ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$5.323861094$ |
$1$ |
|
$5$ |
$884736$ |
$2.288986$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.76456$ |
$[0, 0, 0, -1210575, -510952750]$ |
\(y^2=x^3-1210575x-510952750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 172.12.0.?, $\ldots$ |
$[(6685, 538650)]$ |
| 123840.ez2 |
123840gf2 |
123840.ez |
123840gf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1.502300557$ |
$1$ |
|
$9$ |
$589824$ |
$1.830841$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.10478$ |
$[0, 0, 0, -193692, 32700976]$ |
\(y^2=x^3-193692x+32700976\) |
2.6.0.a.1, 20.12.0.a.1, 24.12.0-2.a.1.1, 120.24.0.?, 344.12.0.?, $\ldots$ |
$[(-78, 6880)]$ |
| 123840.fa2 |
123840ck2 |
123840.fa |
123840ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.119150777$ |
$1$ |
|
$9$ |
$589824$ |
$1.830841$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.10478$ |
$[0, 0, 0, -193692, -32700976]$ |
\(y^2=x^3-193692x-32700976\) |
2.6.0.a.1, 20.12.0.a.1, 24.12.0-2.a.1.1, 120.24.0.?, 344.12.0.?, $\ldots$ |
$[(-260, 288)]$ |
| 154800.dk2 |
154800fv2 |
154800.dk |
154800fv |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$7.021792217$ |
$1$ |
|
$5$ |
$1769472$ |
$2.288986$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.48819$ |
$[0, 0, 0, -1210575, 510952750]$ |
\(y^2=x^3-1210575x+510952750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.1, 172.12.0.?, $\ldots$ |
$[(58265, 14061600)]$ |
| 206400.cp2 |
206400el2 |
206400.cp |
206400el |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1769472$ |
$2.086254$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.18389$ |
$[0, -1, 0, -538033, -151214063]$ |
\(y^2=x^3-x^2-538033x-151214063\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 516.12.0.?, $\ldots$ |
$[]$ |
| 206400.ib2 |
206400hb2 |
206400.ib |
206400hb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$6.966879293$ |
$1$ |
|
$3$ |
$1769472$ |
$2.086254$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.18389$ |
$[0, 1, 0, -538033, 151214063]$ |
\(y^2=x^3+x^2-538033x+151214063\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 516.12.0.?, $\ldots$ |
$[(12221/2, 1315413/2)]$ |
| 221880.d2 |
221880bc2 |
221880.d |
221880bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8515584$ |
$2.815563$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.87026$ |
$[0, -1, 0, -9948236, -12033519564]$ |
\(y^2=x^3-x^2-9948236x-12033519564\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.3, 172.12.0.?, $\ldots$ |
$[]$ |
| 252840.i2 |
252840i2 |
252840.i |
252840i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$18060$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1769472$ |
$1.907917$ |
$67283921459536/260015625$ |
$1.00288$ |
$3.94361$ |
$[0, -1, 0, -263636, -51840060]$ |
\(y^2=x^3-x^2-263636x-51840060\) |
2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 516.12.0.?, $\ldots$ |
$[]$ |
| 443760.ca2 |
443760ca2 |
443760.ca |
443760ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$30.84822451$ |
$1$ |
|
$3$ |
$17031168$ |
$2.815563$ |
$67283921459536/260015625$ |
$1.00288$ |
$4.61064$ |
$[0, 1, 0, -9948236, 12033519564]$ |
\(y^2=x^3+x^2-9948236x+12033519564\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.3, 172.12.0.?, $\ldots$ |
$[(1943298795817825/539092, 77474818565270578835271/539092)]$ |
