| 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 |
| 2233.b2 |
2233b2 |
2233.b |
2233b |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 29 \) |
\( - 7^{3} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1218$ |
$16$ |
$0$ |
$0.775156459$ |
$1$ |
|
$4$ |
$1008$ |
$0.652381$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.93664$ |
$[0, 1, 1, 517, -4340]$ |
\(y^2+y=x^3+x^2+517x-4340\) |
3.8.0-3.a.1.1, 406.2.0.?, 1218.16.0.? |
$[(278, 4658)]$ |
| 15631.b2 |
15631b2 |
15631.b |
15631b |
$2$ |
$3$ |
\( 7^{2} \cdot 11 \cdot 29 \) |
\( - 7^{9} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$2.032856756$ |
$1$ |
|
$0$ |
$48384$ |
$1.625336$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.35241$ |
$[0, -1, 1, 25317, 1539180]$ |
\(y^2+y=x^3-x^2+25317x+1539180\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[(1525/2, 65215/2)]$ |
| 20097.g2 |
20097k2 |
20097.g |
20097k |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$30240$ |
$1.201687$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.72893$ |
$[0, 0, 1, 4650, 121824]$ |
\(y^2+y=x^3+4650x+121824\) |
3.8.0-3.a.1.2, 406.2.0.?, 1218.16.0.? |
$[]$ |
| 24563.e2 |
24563a2 |
24563.e |
24563a |
$2$ |
$3$ |
\( 7 \cdot 11^{2} \cdot 29 \) |
\( - 7^{3} \cdot 11^{12} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.851328$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.42607$ |
$[0, 1, 1, 62517, 6026323]$ |
\(y^2+y=x^3+x^2+62517x+6026323\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
| 35728.i2 |
35728v2 |
35728.i |
35728v |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.345528$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.68893$ |
$[0, -1, 0, 8267, 286013]$ |
\(y^2=x^3-x^2+8267x+286013\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 2436.16.0.? |
$[]$ |
| 55825.l2 |
55825d2 |
55825.l |
55825d |
$2$ |
$3$ |
\( 5^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 5^{6} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$5.153327782$ |
$1$ |
|
$6$ |
$145152$ |
$1.457100$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.66080$ |
$[0, -1, 1, 12917, -568307]$ |
\(y^2+y=x^3-x^2+12917x-568307\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 6090.16.0.? |
$[(61, 665), (137, 1937)]$ |
| 64757.d2 |
64757h2 |
64757.d |
64757h |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 29^{2} \) |
\( - 7^{3} \cdot 11^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$0.426721046$ |
$1$ |
|
$0$ |
$846720$ |
$2.336029$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.56380$ |
$[0, -1, 1, 434517, -110188233]$ |
\(y^2+y=x^3-x^2+434517x-110188233\) |
3.4.0.a.1, 42.8.0-3.a.1.1, 87.8.0.?, 406.2.0.?, 1218.16.0.? |
$[(7725/2, 712323/2)]$ |
| 140679.u2 |
140679u2 |
140679.u |
140679u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.174641$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.10173$ |
$[0, 0, 1, 227850, -41785718]$ |
\(y^2+y=x^3+227850x-41785718\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[]$ |
| 142912.u2 |
142912bm2 |
142912.u |
142912bm |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{6} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$0.700326645$ |
$1$ |
|
$2$ |
$145152$ |
$0.998955$ |
$15252992000000/17621717267$ |
$0.97270$ |
$2.90773$ |
$[0, -1, 0, 2067, -36785]$ |
\(y^2=x^3-x^2+2067x-36785\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 4872.16.0.? |
$[(18, 77)]$ |
| 142912.bv2 |
142912u2 |
142912.bv |
142912u |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{6} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$0.998955$ |
$15252992000000/17621717267$ |
$0.97270$ |
$2.90773$ |
$[0, 1, 0, 2067, 36785]$ |
\(y^2=x^3+x^2+2067x+36785\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 406.2.0.?, 1218.8.0.?, 4872.16.0.? |
$[]$ |
| 171941.m2 |
171941m2 |
171941.m |
171941m |
$2$ |
$3$ |
\( 7^{2} \cdot 11^{2} \cdot 29 \) |
\( - 7^{9} \cdot 11^{12} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$7.014421608$ |
$1$ |
|
$0$ |
$5806080$ |
$2.824284$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.68014$ |
$[0, -1, 1, 3063317, -2060902229]$ |
\(y^2+y=x^3-x^2+3063317x-2060902229\) |
3.4.0.a.1, 231.8.0.?, 406.2.0.?, 1218.8.0.?, 1914.8.0.?, $\ldots$ |
$[(135217/13, 65967920/13)]$ |
| 221067.q2 |
221067q2 |
221067.q |
221067q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{12} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3628800$ |
$2.400635$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.17145$ |
$[0, 0, 1, 562650, -162148077]$ |
\(y^2+y=x^3+562650x-162148077\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
| 250096.bt2 |
250096bt2 |
250096.bt |
250096bt |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$2.101152539$ |
$1$ |
|
$0$ |
$3483648$ |
$2.318481$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.05074$ |
$[0, 1, 0, 405067, -98912605]$ |
\(y^2=x^3+x^2+405067x-98912605\) |
3.4.0.a.1, 84.8.0.?, 348.8.0.?, 406.2.0.?, 1218.8.0.?, $\ldots$ |
$[(4918/3, 456533/3)]$ |
| 321552.cw2 |
321552cw2 |
321552.cw |
321552cw |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$17.29374209$ |
$1$ |
|
$0$ |
$2177280$ |
$1.894835$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.56956$ |
$[0, 0, 0, 74400, -7796752]$ |
\(y^2=x^3+74400x-7796752\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 2436.16.0.? |
$[(1028131937/1009, 34027181666489/1009)]$ |
| 377377.g2 |
377377g2 |
377377.g |
377377g |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( - 7^{3} \cdot 11^{6} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15834$ |
$16$ |
$0$ |
$3.559709974$ |
$1$ |
|
$0$ |
$2322432$ |
$1.934855$ |
$15252992000000/17621717267$ |
$0.97270$ |
$3.56246$ |
$[0, 1, 1, 87317, -9883779]$ |
\(y^2+y=x^3+x^2+87317x-9883779\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 15834.16.0.? |
$[(15259/3, 1911968/3)]$ |
| 390775.bc2 |
390775bc2 |
390775.bc |
390775bc |
$2$ |
$3$ |
\( 5^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 5^{6} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$3.852941555$ |
$1$ |
|
$0$ |
$6967296$ |
$2.430054$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.01432$ |
$[0, 1, 1, 632917, 193663369]$ |
\(y^2+y=x^3+x^2+632917x+193663369\) |
3.4.0.a.1, 105.8.0.?, 406.2.0.?, 870.8.0.?, 1218.8.0.?, $\ldots$ |
$[(-1163/3, 282824/3)]$ |
| 393008.u2 |
393008u2 |
393008.u |
393008u |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 2^{12} \cdot 7^{3} \cdot 11^{12} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26796$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.544476$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.11913$ |
$[0, -1, 0, 1000267, -384684419]$ |
\(y^2=x^3-x^2+1000267x-384684419\) |
3.4.0.a.1, 132.8.0.?, 406.2.0.?, 1218.8.0.?, 26796.16.0.? |
$[]$ |
| 453299.n2 |
453299n2 |
453299.n |
453299n |
$2$ |
$3$ |
\( 7^{2} \cdot 11 \cdot 29^{2} \) |
\( - 7^{9} \cdot 11^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$2.034069355$ |
$1$ |
|
$0$ |
$40642560$ |
$3.308983$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.77838$ |
$[0, 1, 1, 21291317, 37751981187]$ |
\(y^2+y=x^3+x^2+21291317x+37751981187\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 406.2.0.?, 609.8.0.?, 1218.16.0.? |
$[(56431/3, 17451998/3)]$ |
