| 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 |
| 5610.q1 |
5610t7 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$22440$ |
$384$ |
$5$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$663552$ |
$2.960789$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.99017$ |
$[1, 0, 1, -201236483, -1098790303234]$ |
\(y^2+xy+y=x^3-201236483x-1098790303234\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
| 16830.bk1 |
16830cd8 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{7} \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$4$ |
$5308416$ |
$3.510094$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.76548$ |
$[1, -1, 1, -1811128343, 29667338187311]$ |
\(y^2+xy+y=x^3-x^2-1811128343x+29667338187311\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
| 28050.cx1 |
28050cm8 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15925248$ |
$3.765507$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.67742$ |
$[1, 1, 1, -5030912063, -137348787904219]$ |
\(y^2+xy+y=x^3+x^2-5030912063x-137348787904219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 44880.bh1 |
44880br8 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$24.50252149$ |
$1$ |
|
$1$ |
$15925248$ |
$3.653934$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.21557$ |
$[0, -1, 0, -3219783720, 70322579406960]$ |
\(y^2=x^3-x^2-3219783720x+70322579406960\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[(398536258058/3233, 58401192145401014/3233)]$ |
| 61710.da1 |
61710cz8 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 11^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$79626240$ |
$4.159737$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.55752$ |
$[1, 0, 0, -24349614385, 1462465543989737]$ |
\(y^2+xy=x^3-24349614385x+1462465543989737\) |
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, $\ldots$ |
$[]$ |
| 84150.df1 |
84150bk8 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{7} \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$127401984$ |
$4.314812$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.51492$ |
$[1, -1, 0, -45278208567, 3708371995205341]$ |
\(y^2+xy=x^3-x^2-45278208567x+3708371995205341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 95370.j1 |
95370c8 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$117.4890432$ |
$4$ |
$2$ |
$0$ |
$191102976$ |
$4.377396$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.49838$ |
$[1, 1, 0, -58157343448, -5398298602443968]$ |
\(y^2+xy=x^3+x^2-58157343448x-5398298602443968\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(12623712590184267517653348173072909314628599054242339/196518086947936883429846, 777086767109676338448960449579543840902587261784591114269807640324357107607351/196518086947936883429846)]$ |
| 134640.cq1 |
134640cn8 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{7} \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$32.28785426$ |
$1$ |
|
$1$ |
$127401984$ |
$4.203239$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.10249$ |
$[0, 0, 0, -28978053483, -1898680665934438]$ |
\(y^2=x^3-28978053483x-1898680665934438\) |
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, $\ldots$ |
$[(5993571115027039/98645, 443972030622546092204538/98645)]$ |
| 179520.b1 |
179520hr8 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{27} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$77.22137606$ |
$4$ |
$2$ |
$1$ |
$127401984$ |
$4.000511$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$6.73251$ |
$[0, -1, 0, -12879134881, -562567756120799]$ |
\(y^2=x^3-x^2-12879134881x-562567756120799\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(6793407699175709611087685164727967/37205539661057, 559776022845616889304003132753086233450924184601032/37205539661057)]$ |
| 179520.gd1 |
179520bv7 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{27} \cdot 3 \cdot 5 \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$127401984$ |
$4.000511$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$6.73251$ |
$[0, 1, 0, -12879134881, 562567756120799]$ |
\(y^2=x^3+x^2-12879134881x+562567756120799\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[]$ |
| 185130.be1 |
185130eq8 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{7} \cdot 5 \cdot 11^{10} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$103.7284869$ |
$4$ |
$2$ |
$0$ |
$637009920$ |
$4.709038$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.41644$ |
$[1, -1, 0, -219146529465, -39486569687722899]$ |
\(y^2+xy=x^3-x^2-219146529465x-39486569687722899\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(92888655950791823761630760071618170908365704505/396416799835373614304, 12045502496039141754992365943799042622618782895479661639650641229180451/396416799835373614304)]$ |
| 224400.eo1 |
224400bf7 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3 \cdot 5^{7} \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$382205952$ |
$4.458656$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.05679$ |
$[0, 1, 0, -80494593008, 8790161436683988]$ |
\(y^2=x^3+x^2-80494593008x+8790161436683988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 274890.n1 |
274890n7 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{4} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$14.33391695$ |
$1$ |
|
$4$ |
$191102976$ |
$3.933743$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$6.43949$ |
$[1, 1, 0, -9860587643, 376875213421533]$ |
\(y^2+xy=x^3+x^2-9860587643x+376875213421533\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(57337, -26076), (519637/3, 3779885/3)]$ |
| 286110.gv1 |
286110gv7 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5 \cdot 11^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$3.264939948$ |
$1$ |
|
$0$ |
$1528823808$ |
$4.926697$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.36736$ |
$[1, -1, 1, -523416091037, 145753538849896101]$ |
\(y^2+xy+y=x^3-x^2-523416091037x+145753538849896101\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(20541431/7, 509823672/7)]$ |
| 308550.h1 |
308550h7 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 11^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1911029760$ |
$4.964455$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.35920$ |
$[1, 1, 0, -608740359625, 182808192998717125]$ |
\(y^2+xy=x^3+x^2-608740359625x+182808192998717125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 476850.ib1 |
476850ib8 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 11^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$33.61662249$ |
$1$ |
|
$0$ |
$4586471424$ |
$5.182114$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$7.31394$ |
$[1, 0, 0, -1453933586213, -674784417438323583]$ |
\(y^2+xy=x^3-1453933586213x-674784417438323583\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[(1247641524261994/22197, 37682523524108677666115/22197)]$ |
| 493680.cf1 |
493680cf8 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{21} \cdot 3 \cdot 5 \cdot 11^{10} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$23.45744772$ |
$4$ |
$2$ |
$1$ |
$1911029760$ |
$4.852882$ |
$901247067798311192691198986281/552431869440$ |
$1.04331$ |
$6.99323$ |
$[0, -1, 0, -389593830160, -93597794815343168]$ |
\(y^2=x^3-x^2-389593830160x-93597794815343168\) |
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, $\ldots$ |
$[(3528237605242/741, 6594786095544745714/741)]$ |
