| 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 |
| 4046.n2 |
4046h2 |
4046.n |
4046h |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$4$ |
$2$ |
$0$ |
$69632$ |
$2.333645$ |
$4869777375/92236816$ |
$1.12615$ |
$6.17212$ |
$[1, -1, 1, 173490, 156628973]$ |
\(y^2+xy+y=x^3-x^2+173490x+156628973\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 4046.o2 |
4046o2 |
4046.o |
4046o |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$0.468407470$ |
$1$ |
|
$6$ |
$4096$ |
$0.917038$ |
$4869777375/92236816$ |
$1.12615$ |
$4.12537$ |
$[1, -1, 1, 600, 31739]$ |
\(y^2+xy+y=x^3-x^2+600x+31739\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(-13, 153)]$ |
| 28322.y2 |
28322r2 |
28322.y |
28322r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{14} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$5.554931935$ |
$1$ |
|
$2$ |
$196608$ |
$1.889992$ |
$4869777375/92236816$ |
$1.12615$ |
$4.48121$ |
$[1, -1, 1, 29415, -10945399]$ |
\(y^2+xy+y=x^3-x^2+29415x-10945399\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(269, 3912)]$ |
| 28322.z2 |
28322q2 |
28322.z |
28322q |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{14} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$23.74104350$ |
$1$ |
|
$0$ |
$3342336$ |
$3.306599$ |
$4869777375/92236816$ |
$1.12615$ |
$6.13945$ |
$[1, -1, 1, 8501025, -53740739881]$ |
\(y^2+xy+y=x^3-x^2+8501025x-53740739881\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(19626473717/2261, 2154775401833538/2261)]$ |
| 32368.s2 |
32368g2 |
32368.s |
32368g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.610186$ |
$4869777375/92236816$ |
$1.12615$ |
$4.10027$ |
$[0, 0, 0, 9605, -2040918]$ |
\(y^2=x^3+9605x-2040918\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 32368.t2 |
32368v2 |
32368.t |
32368v |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$12.23242561$ |
$1$ |
|
$1$ |
$1671168$ |
$3.026791$ |
$4869777375/92236816$ |
$1.12615$ |
$5.73719$ |
$[0, 0, 0, 2775845, -10027030134]$ |
\(y^2=x^3+2775845x-10027030134\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(4605655/43, 8832829278/43)]$ |
| 36414.w2 |
36414p2 |
36414.w |
36414p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2228224$ |
$2.882950$ |
$4869777375/92236816$ |
$1.12615$ |
$5.50850$ |
$[1, -1, 0, 1561413, -4230543691]$ |
\(y^2+xy=x^3-x^2+1561413x-4230543691\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 36414.y2 |
36414bd2 |
36414.y |
36414bd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$0.542744861$ |
$1$ |
|
$8$ |
$131072$ |
$1.466343$ |
$4869777375/92236816$ |
$1.12615$ |
$3.88994$ |
$[1, -1, 0, 5403, -862363]$ |
\(y^2+xy=x^3-x^2+5403x-862363\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(334, 6007)]$ |
| 101150.p2 |
101150a2 |
101150.p |
101150a |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$2.495817270$ |
$1$ |
|
$4$ |
$589824$ |
$1.721756$ |
$4869777375/92236816$ |
$1.12615$ |
$3.81104$ |
$[1, -1, 0, 15008, 3982416]$ |
\(y^2+xy=x^3-x^2+15008x+3982416\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(-21, 1923)]$ |
| 101150.v2 |
101150p2 |
101150.v |
101150p |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$10027008$ |
$3.138363$ |
$4869777375/92236816$ |
$1.12615$ |
$5.28612$ |
$[1, -1, 0, 4337258, 19582958916]$ |
\(y^2+xy=x^3-x^2+4337258x+19582958916\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 129472.bv2 |
129472bu2 |
129472.bv |
129472bu |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$4$ |
$2$ |
$1$ |
$786432$ |
$1.956758$ |
$4869777375/92236816$ |
$1.12615$ |
$3.97069$ |
$[0, 0, 0, 38420, -16327344]$ |
\(y^2=x^3+38420x-16327344\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 129472.bw2 |
129472a2 |
129472.bw |
129472a |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$6.047161300$ |
$4$ |
$2$ |
$3$ |
$13369344$ |
$3.373363$ |
$4869777375/92236816$ |
$1.12615$ |
$5.41483$ |
$[0, 0, 0, 11103380, 80216241072]$ |
\(y^2=x^3+11103380x+80216241072\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(-1786, 233856)]$ |
| 129472.bx2 |
129472cu2 |
129472.bx |
129472cu |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$16.09150964$ |
$1$ |
|
$1$ |
$13369344$ |
$3.373363$ |
$4869777375/92236816$ |
$1.12615$ |
$5.41483$ |
$[0, 0, 0, 11103380, -80216241072]$ |
\(y^2=x^3+11103380x-80216241072\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(324353644/115, 5879461189728/115)]$ |
| 129472.by2 |
129472y2 |
129472.by |
129472y |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 7^{8} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$3.112706565$ |
$1$ |
|
$13$ |
$786432$ |
$1.956758$ |
$4869777375/92236816$ |
$1.12615$ |
$3.97069$ |
$[0, 0, 0, 38420, 16327344]$ |
\(y^2=x^3+38420x+16327344\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(678, 18816), (580, 15288)]$ |
| 226576.bt2 |
226576be2 |
226576.bt |
226576be |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{14} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$38.77137750$ |
$1$ |
|
$1$ |
$80216064$ |
$3.999748$ |
$4869777375/92236816$ |
$1.12615$ |
$5.77866$ |
$[0, 0, 0, 136016405, 3439271335962]$ |
\(y^2=x^3+136016405x+3439271335962\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(56210959820364703/2213251, 27664343133411125889385098/2213251)]$ |
| 226576.bu2 |
226576bf2 |
226576.bu |
226576bf |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{14} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$10.65678194$ |
$1$ |
|
$1$ |
$4718592$ |
$2.583141$ |
$4869777375/92236816$ |
$1.12615$ |
$4.40006$ |
$[0, 0, 0, 470645, 700034874]$ |
\(y^2=x^3+470645x+700034874\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(67999/5, 18583818/5)]$ |
| 254898.bw2 |
254898bw2 |
254898.bw |
254898bw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{14} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$6.757052534$ |
$1$ |
|
$2$ |
$106954752$ |
$3.855904$ |
$4869777375/92236816$ |
$1.12615$ |
$5.58533$ |
$[1, -1, 0, 76509228, 1450923467552]$ |
\(y^2+xy=x^3-x^2+76509228x+1450923467552\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(27064, 4818064)]$ |
| 254898.bx2 |
254898bx2 |
254898.bx |
254898bx |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{14} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$2.551863403$ |
$1$ |
|
$2$ |
$6291456$ |
$2.439301$ |
$4869777375/92236816$ |
$1.12615$ |
$4.21977$ |
$[1, -1, 0, 264738, 295261028]$ |
\(y^2+xy=x^3-x^2+264738x+295261028\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(1696, 74122)]$ |
| 291312.cv2 |
291312cv2 |
291312.cv |
291312cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$5.028856292$ |
$1$ |
|
$3$ |
$3145728$ |
$2.159492$ |
$4869777375/92236816$ |
$1.12615$ |
$3.90813$ |
$[0, 0, 0, 86445, 55104786]$ |
\(y^2=x^3+86445x+55104786\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(3519, 209610)]$ |
| 291312.de2 |
291312de2 |
291312.de |
291312de |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$53477376$ |
$3.576099$ |
$4869777375/92236816$ |
$1.12615$ |
$5.25919$ |
$[0, 0, 0, 24982605, 270729813618]$ |
\(y^2=x^3+24982605x+270729813618\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 489566.x2 |
489566x2 |
489566.x |
489566x |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 11^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$5898240$ |
$2.115986$ |
$4869777375/92236816$ |
$1.12615$ |
$3.71342$ |
$[1, -1, 0, 72638, -42462876]$ |
\(y^2+xy=x^3-x^2+72638x-42462876\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 489566.y2 |
489566y2 |
489566.y |
489566y |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{8} \cdot 11^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$4.608416396$ |
$1$ |
|
$2$ |
$100270080$ |
$3.532593$ |
$4869777375/92236816$ |
$1.12615$ |
$5.01095$ |
$[1, -1, 0, 20992328, -208536140400]$ |
\(y^2+xy=x^3-x^2+20992328x-208536140400\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(81172, 23118088)]$ |
