| 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 |
| 17248.b1 |
17248w1 |
17248.b |
17248w |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$301056$ |
$2.169178$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.44421$ |
$[0, 0, 0, -1016995, -394585142]$ |
\(y^2=x^3-1016995x-394585142\) |
88.2.0.? |
$[ ]$ |
| 17248.c1 |
17248v1 |
17248.c |
17248v |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.527122797$ |
$1$ |
|
$4$ |
$43008$ |
$1.196222$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.24739$ |
$[0, 0, 0, -20755, -1150394]$ |
\(y^2=x^3-20755x-1150394\) |
88.2.0.? |
$[(-83, 22)]$ |
| 17248.bg1 |
17248ba1 |
17248.bg |
17248ba |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$9.374389392$ |
$1$ |
|
$0$ |
$43008$ |
$1.196222$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.24739$ |
$[0, 0, 0, -20755, 1150394]$ |
\(y^2=x^3-20755x+1150394\) |
88.2.0.? |
$[(-2474/9, 965980/9)]$ |
| 17248.bh1 |
17248c1 |
17248.bh |
17248c |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$301056$ |
$2.169178$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.44421$ |
$[0, 0, 0, -1016995, 394585142]$ |
\(y^2=x^3-1016995x+394585142\) |
88.2.0.? |
$[ ]$ |
| 34496.e1 |
34496c1 |
34496.e |
34496c |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$6.070259828$ |
$1$ |
|
$2$ |
$1204224$ |
$2.515751$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.48108$ |
$[0, 0, 0, -4067980, 3156681136]$ |
\(y^2=x^3-4067980x+3156681136\) |
88.2.0.? |
$[(1117, 2533)]$ |
| 34496.f1 |
34496bv1 |
34496.f |
34496bv |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.362193418$ |
$1$ |
|
$4$ |
$172032$ |
$1.542797$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.36366$ |
$[0, 0, 0, -83020, 9203152]$ |
\(y^2=x^3-83020x+9203152\) |
88.2.0.? |
$[(144, 484)]$ |
| 34496.dn1 |
34496ba1 |
34496.dn |
34496ba |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$172032$ |
$1.542797$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.36366$ |
$[0, 0, 0, -83020, -9203152]$ |
\(y^2=x^3-83020x-9203152\) |
88.2.0.? |
$[ ]$ |
| 34496.do1 |
34496i1 |
34496.do |
34496i |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1204224$ |
$2.515751$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.48108$ |
$[0, 0, 0, -4067980, -3156681136]$ |
\(y^2=x^3-4067980x-3156681136\) |
88.2.0.? |
$[ ]$ |
| 155232.bz1 |
155232bg1 |
155232.bz |
155232bg |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$602112$ |
$1.745529$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.01809$ |
$[0, 0, 0, -186795, 31060638]$ |
\(y^2=x^3-186795x+31060638\) |
88.2.0.? |
$[ ]$ |
| 155232.ch1 |
155232br1 |
155232.ch |
155232br |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$39.91695995$ |
$1$ |
|
$0$ |
$4214784$ |
$2.718483$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.99490$ |
$[0, 0, 0, -9152955, -10653798834]$ |
\(y^2=x^3-9152955x-10653798834\) |
88.2.0.? |
$[(-1354996735962976427/27932117, 43764558773314394095372034/27932117)]$ |
| 155232.cn1 |
155232dp1 |
155232.cn |
155232dp |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$602112$ |
$1.745529$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.01809$ |
$[0, 0, 0, -186795, -31060638]$ |
\(y^2=x^3-186795x-31060638\) |
88.2.0.? |
$[ ]$ |
| 155232.cv1 |
155232dt1 |
155232.cv |
155232dt |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.855197366$ |
$1$ |
|
$2$ |
$4214784$ |
$2.718483$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.99490$ |
$[0, 0, 0, -9152955, 10653798834]$ |
\(y^2=x^3-9152955x+10653798834\) |
88.2.0.? |
$[(1666, 5390)]$ |
| 189728.b1 |
189728bw1 |
189728.b |
189728bw |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{8} \cdot 11^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36126720$ |
$3.368126$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.55387$ |
$[0, 0, 0, -123056395, 525192824002]$ |
\(y^2=x^3-123056395x+525192824002\) |
88.2.0.? |
$[ ]$ |
| 189728.c1 |
189728a1 |
189728.c |
189728a |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 11^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$2.395172$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.59319$ |
$[0, 0, 0, -2511355, 1531174414]$ |
\(y^2=x^3-2511355x+1531174414\) |
88.2.0.? |
$[ ]$ |
| 189728.db1 |
189728bu1 |
189728.db |
189728bu |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{8} \cdot 11^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$28.15057714$ |
$1$ |
|
$0$ |
$36126720$ |
$3.368126$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.55387$ |
$[0, 0, 0, -123056395, -525192824002]$ |
\(y^2=x^3-123056395x-525192824002\) |
88.2.0.? |
$[(-140297809055579/148761, 39507233687264834162/148761)]$ |
| 189728.dc1 |
189728dc1 |
189728.dc |
189728dc |
$1$ |
$1$ |
\( 2^{5} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 11^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$30.56823870$ |
$1$ |
|
$0$ |
$5160960$ |
$2.395172$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.59319$ |
$[0, 0, 0, -2511355, -1531174414]$ |
\(y^2=x^3-2511355x-1531174414\) |
88.2.0.? |
$[(-42795231207583151/6889530, 134308561955261983952993/6889530)]$ |
| 310464.hz1 |
310464hz1 |
310464.hz |
310464hz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16859136$ |
$3.065060$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.04999$ |
$[0, 0, 0, -36611820, 85230390672]$ |
\(y^2=x^3-36611820x+85230390672\) |
88.2.0.? |
$[ ]$ |
| 310464.ii1 |
310464ii1 |
310464.ii |
310464ii |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$12.85184074$ |
$1$ |
|
$0$ |
$2408448$ |
$2.092102$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.12672$ |
$[0, 0, 0, -747180, -248485104]$ |
\(y^2=x^3-747180x-248485104\) |
88.2.0.? |
$[(-5646710/107, 287618248/107)]$ |
| 310464.js1 |
310464js1 |
310464.js |
310464js |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.392756182$ |
$1$ |
|
$2$ |
$16859136$ |
$3.065060$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.04999$ |
$[0, 0, 0, -36611820, -85230390672]$ |
\(y^2=x^3-36611820x-85230390672\) |
88.2.0.? |
$[(19966, 2672648)]$ |
| 310464.kb1 |
310464kb1 |
310464.kb |
310464kb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.488562092$ |
$1$ |
|
$10$ |
$2408448$ |
$2.092102$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.12672$ |
$[0, 0, 0, -747180, 248485104]$ |
\(y^2=x^3-747180x+248485104\) |
88.2.0.? |
$[(190, 10648), (4372/3, 10648/3)]$ |
| 379456.h1 |
379456h1 |
379456.h |
379456h |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.609510868$ |
$1$ |
|
$0$ |
$20643840$ |
$2.741745$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.66909$ |
$[0, 0, 0, -10045420, -12249395312]$ |
\(y^2=x^3-10045420x-12249395312\) |
88.2.0.? |
$[(-16742/3, 10648/3)]$ |
| 379456.i1 |
379456i1 |
379456.i |
379456i |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{8} \cdot 11^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144506880$ |
$3.714699$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.57794$ |
$[0, 0, 0, -492225580, -4201542592016]$ |
\(y^2=x^3-492225580x-4201542592016\) |
88.2.0.? |
$[ ]$ |
| 379456.jp1 |
379456jp1 |
379456.jp |
379456jp |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$5.421426641$ |
$1$ |
|
$0$ |
$20643840$ |
$2.741745$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.66909$ |
$[0, 0, 0, -10045420, 12249395312]$ |
\(y^2=x^3-10045420x+12249395312\) |
88.2.0.? |
$[(11902/3, 965096/3)]$ |
| 379456.jq1 |
379456jq1 |
379456.jq |
379456jq |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{8} \cdot 11^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$144506880$ |
$3.714699$ |
$39411764973000/19487171$ |
$1.01898$ |
$5.57794$ |
$[0, 0, 0, -492225580, 4201542592016]$ |
\(y^2=x^3-492225580x+4201542592016\) |
88.2.0.? |
$[ ]$ |
| 431200.e1 |
431200e1 |
431200.e |
431200e |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6193152$ |
$2.000942$ |
$39411764973000/19487171$ |
$1.01898$ |
$3.93792$ |
$[0, 0, 0, -518875, 143799250]$ |
\(y^2=x^3-518875x+143799250\) |
88.2.0.? |
$[ ]$ |
| 431200.g1 |
431200g1 |
431200.g |
431200g |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.311082788$ |
$1$ |
|
$6$ |
$43352064$ |
$2.973896$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.83781$ |
$[0, 0, 0, -25424875, 49323142750]$ |
\(y^2=x^3-25424875x+49323142750\) |
88.2.0.? |
$[(-1715, 296450)]$ |
| 431200.fg1 |
431200fg1 |
431200.fg |
431200fg |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$135.2607111$ |
$1$ |
|
$0$ |
$43352064$ |
$2.973896$ |
$39411764973000/19487171$ |
$1.01898$ |
$4.83781$ |
$[0, 0, 0, -25424875, -49323142750]$ |
\(y^2=x^3-25424875x-49323142750\) |
88.2.0.? |
$[(-857339870837741132150106600510629786102908184078234535396290/17305215862212108661210487997, 4639559369843349323907302501595376150961256993047187083027305621454691787199181617566600/17305215862212108661210487997)]$ |
| 431200.fp1 |
431200fp1 |
431200.fp |
431200fp |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6193152$ |
$2.000942$ |
$39411764973000/19487171$ |
$1.01898$ |
$3.93792$ |
$[0, 0, 0, -518875, -143799250]$ |
\(y^2=x^3-518875x-143799250\) |
88.2.0.? |
$[ ]$ |
