| 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 |
| 786.e1 |
786c1 |
786.e |
786c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1048$ |
$2$ |
$0$ |
$2.817672580$ |
$1$ |
|
$2$ |
$12960$ |
$1.802240$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.73995$ |
$[1, 1, 0, 1217, 6622405]$ |
\(y^2+xy=x^3+x^2+1217x+6622405\) |
1048.2.0.? |
$[(12085, 1322560)]$ |
| 2358.l1 |
2358y1 |
2358.l |
2358y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{30} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$2.351547$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.63526$ |
$[1, -1, 1, 10948, -178793985]$ |
\(y^2+xy+y=x^3-x^2+10948x-178793985\) |
1048.2.0.? |
$[]$ |
| 6288.q1 |
6288q1 |
6288.q |
6288q |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( - 2^{21} \cdot 3^{24} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.495388$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.08853$ |
$[0, 1, 0, 19464, -423794988]$ |
\(y^2=x^3+x^2+19464x-423794988\) |
1048.2.0.? |
$[]$ |
| 18864.b1 |
18864y1 |
18864.b |
18864y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{30} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$4.139199538$ |
$1$ |
|
$2$ |
$2488320$ |
$3.044693$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.07865$ |
$[0, 0, 0, 175173, 11442639850]$ |
\(y^2=x^3+175173x+11442639850\) |
1048.2.0.? |
$[(173, 107136)]$ |
| 19650.bd1 |
19650z1 |
19650.bd |
19650z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$0.161659207$ |
$1$ |
|
$8$ |
$1036800$ |
$2.606960$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.52220$ |
$[1, 0, 0, 30412, 827739792]$ |
\(y^2+xy=x^3+30412x+827739792\) |
1048.2.0.? |
$[(5752, 434524)]$ |
| 25152.b1 |
25152ba1 |
25152.b |
25152ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{27} \cdot 3^{24} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.841961$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.66597$ |
$[0, -1, 0, 77855, -3390437759]$ |
\(y^2=x^3-x^2+77855x-3390437759\) |
1048.2.0.? |
$[]$ |
| 25152.x1 |
25152s1 |
25152.x |
25152s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{27} \cdot 3^{24} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$0.531403010$ |
$1$ |
|
$4$ |
$2488320$ |
$2.841961$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.66597$ |
$[0, 1, 0, 77855, 3390437759]$ |
\(y^2=x^3+x^2+77855x+3390437759\) |
1048.2.0.? |
$[(-1165, 41472)]$ |
| 38514.j1 |
38514v1 |
38514.j |
38514v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4898880$ |
$2.775196$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.36145$ |
$[1, 0, 1, 59607, -2271306068]$ |
\(y^2+xy+y=x^3+59607x-2271306068\) |
1048.2.0.? |
$[]$ |
| 58950.q1 |
58950o1 |
58950.q |
58950o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{30} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$30.40433958$ |
$1$ |
|
$0$ |
$8294400$ |
$3.156265$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.56999$ |
$[1, -1, 0, 273708, -22348974384]$ |
\(y^2+xy=x^3-x^2+273708x-22348974384\) |
1048.2.0.? |
$[(197525995949259/150769, 2718522664228205842302/150769)]$ |
| 75456.di1 |
75456v1 |
75456.di |
75456v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{27} \cdot 3^{30} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$19906560$ |
$3.391266$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.69865$ |
$[0, 0, 0, 700692, -91541118800]$ |
\(y^2=x^3+700692x-91541118800\) |
1048.2.0.? |
$[]$ |
| 75456.dl1 |
75456dl1 |
75456.dl |
75456dl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{27} \cdot 3^{30} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$19906560$ |
$3.391266$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.69865$ |
$[0, 0, 0, 700692, 91541118800]$ |
\(y^2=x^3+700692x+91541118800\) |
1048.2.0.? |
$[]$ |
| 95106.u1 |
95106u1 |
95106.u |
95106u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13996800$ |
$3.001186$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.17523$ |
$[1, 1, 1, 147194, -8813684989]$ |
\(y^2+xy+y=x^3+x^2+147194x-8813684989\) |
1048.2.0.? |
$[]$ |
| 102966.s1 |
102966s1 |
102966.s |
102966s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( - 2^{9} \cdot 3^{24} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$18.94581122$ |
$1$ |
|
$0$ |
$222393600$ |
$4.239838$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.42741$ |
$[1, 1, 1, 20875999, -14886620736289]$ |
\(y^2+xy+y=x^3+x^2+20875999x-14886620736289\) |
1048.2.0.? |
$[(58686345480735/19339, 448336871225319914248/19339)]$ |
| 115542.ci1 |
115542by1 |
115542.ci |
115542by |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{30} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$39191040$ |
$3.324501$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.42163$ |
$[1, -1, 1, 536467, 61325263829]$ |
\(y^2+xy+y=x^3-x^2+536467x+61325263829\) |
1048.2.0.? |
$[]$ |
| 132834.n1 |
132834k1 |
132834.n |
132834k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24883200$ |
$3.084713$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.11362$ |
$[1, 1, 1, 205585, 14548395701]$ |
\(y^2+xy+y=x^3+x^2+205585x+14548395701\) |
1048.2.0.? |
$[]$ |
| 157200.p1 |
157200by1 |
157200.p |
157200by |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{24} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$12.07062497$ |
$1$ |
|
$0$ |
$24883200$ |
$3.300106$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.25766$ |
$[0, -1, 0, 486592, -52975346688]$ |
\(y^2=x^3-x^2+486592x-52975346688\) |
1048.2.0.? |
$[(10234357472/871, 1025487260323200/871)]$ |
| 227154.e1 |
227154n1 |
227154.e |
227154n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 17^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1.361825775$ |
$1$ |
|
$2$ |
$66355200$ |
$3.218845$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.02167$ |
$[1, 0, 1, 351562, 32533414472]$ |
\(y^2+xy+y=x^3+351562x+32533414472\) |
1048.2.0.? |
$[(-1098, 176116)]$ |
| 283746.bj1 |
283746bj1 |
283746.bj |
283746bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 19^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87480000$ |
$3.274460$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$4.98585$ |
$[1, 0, 0, 439149, -45419562207]$ |
\(y^2+xy=x^3+439149x-45419562207\) |
1048.2.0.? |
$[]$ |
| 285318.a1 |
285318a1 |
285318.a |
285318a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{30} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$20.52963847$ |
$1$ |
|
$0$ |
$111974400$ |
$3.550495$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.24736$ |
$[1, -1, 0, 1324746, 237970819444]$ |
\(y^2+xy=x^3-x^2+1324746x+237970819444\) |
1048.2.0.? |
$[(3180387651/926, 428985946045315/926)]$ |
| 308112.c1 |
308112c1 |
308112.c |
308112c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{24} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$24.30729103$ |
$1$ |
|
$0$ |
$117573120$ |
$3.468342$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.13745$ |
$[0, -1, 0, 953720, 145363588336]$ |
\(y^2=x^3-x^2+953720x+145363588336\) |
1048.2.0.? |
$[(6729114541594/78991, 189383716322942416218/78991)]$ |
| 308898.a1 |
308898a1 |
308898.a |
308898a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( - 2^{9} \cdot 3^{30} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$27.98721773$ |
$1$ |
|
$0$ |
$1779148800$ |
$4.789146$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.39026$ |
$[1, -1, 0, 187883991, 401938947763789]$ |
\(y^2+xy=x^3-x^2+187883991x+401938947763789\) |
1048.2.0.? |
$[(-927282303024595/123451, 24242902447405023230348/123451)]$ |
| 398502.x1 |
398502x1 |
398502.x |
398502x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{30} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$76.10006215$ |
$1$ |
|
$0$ |
$199065600$ |
$3.634022$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.18913$ |
$[1, -1, 0, 1850265, -392804833667]$ |
\(y^2+xy=x^3-x^2+1850265x-392804833667\) |
1048.2.0.? |
$[(41918839309241107374062347400548031/630742028789593, 8568524880080605801841121502308939626567469122233511/630742028789593)]$ |
| 415794.b1 |
415794b1 |
415794.b |
415794b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 23^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$163088640$ |
$3.369987$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$4.92720$ |
$[1, 1, 0, 643518, -80568365580]$ |
\(y^2+xy=x^3+x^2+643518x-80568365580\) |
1048.2.0.? |
$[]$ |
| 471600.cm1 |
471600cm1 |
471600.cm |
471600cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{30} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1048$ |
$2$ |
$0$ |
$27.57515903$ |
$1$ |
|
$0$ |
$199065600$ |
$3.849411$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$5.32009$ |
$[0, 0, 0, 4379325, 1430329981250]$ |
\(y^2=x^3+4379325x+1430329981250\) |
1048.2.0.? |
$[(13438275582175/36913, 78450030872845516350/36913)]$ |
