| 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 |
| 95506.a1 |
95506f1 |
95506.a |
95506f |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{9} \cdot 17^{3} \cdot 53^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$408$ |
$16$ |
$0$ |
$8.456957834$ |
$1$ |
|
$2$ |
$3503088$ |
$2.580570$ |
$-5192525593/2515456$ |
$0.87645$ |
$4.77381$ |
$[1, 0, 1, -1429840, 891843102]$ |
\(y^2+xy+y=x^3-1429840x+891843102\) |
3.8.0-3.a.1.2, 136.2.0.?, 408.16.0.? |
$[(21184/5, 2071442/5)]$ |
| 95506.a2 |
95506f2 |
95506.a |
95506f |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{27} \cdot 17 \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$408$ |
$16$ |
$0$ |
$25.37087350$ |
$1$ |
|
$0$ |
$10509264$ |
$3.129875$ |
$2512127159927/2281701376$ |
$0.94215$ |
$5.25986$ |
$[1, 0, 1, 11224705, -10922440110]$ |
\(y^2+xy+y=x^3+11224705x-10922440110\) |
3.8.0-3.a.1.1, 136.2.0.?, 408.16.0.? |
$[(56594744011/4510, 18639142402788629/4510)]$ |
| 95506.b1 |
95506e1 |
95506.b |
95506e |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{5} \cdot 17 \cdot 53^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.833383531$ |
$1$ |
|
$2$ |
$62640$ |
$0.527646$ |
$-2809/544$ |
$0.88904$ |
$2.58463$ |
$[1, 0, 1, -59, -3162]$ |
\(y^2+xy+y=x^3-59x-3162\) |
136.2.0.? |
$[(22, 68)]$ |
| 95506.c1 |
95506c2 |
95506.c |
95506c |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{4} \cdot 17^{2} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3604$ |
$12$ |
$0$ |
$22.02607114$ |
$1$ |
|
$0$ |
$3953664$ |
$2.539822$ |
$10233153213432625/245072$ |
$0.93765$ |
$5.29227$ |
$[1, 0, 1, -12705166, -17431909968]$ |
\(y^2+xy+y=x^3-12705166x-17431909968\) |
2.3.0.a.1, 68.6.0.c.1, 106.6.0.?, 3604.12.0.? |
$[(-138617700552/8207, 579024732253737/8207)]$ |
| 95506.c2 |
95506c1 |
95506.c |
95506c |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{8} \cdot 17 \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3604$ |
$12$ |
$0$ |
$11.01303557$ |
$1$ |
|
$1$ |
$1976832$ |
$2.193249$ |
$2507141976625/12224768$ |
$0.88164$ |
$4.56721$ |
$[1, 0, 1, -795006, -271751440]$ |
\(y^2+xy+y=x^3-795006x-271751440\) |
2.3.0.a.1, 34.6.0.a.1, 212.6.0.?, 3604.12.0.? |
$[(-416035/29, 23799505/29)]$ |
| 95506.d1 |
95506d1 |
95506.d |
95506d |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{6} \cdot 17^{5} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3604$ |
$2$ |
$0$ |
$3.493023266$ |
$1$ |
|
$0$ |
$19181760$ |
$3.413380$ |
$-71975722083173/90870848$ |
$0.96111$ |
$5.89888$ |
$[1, 1, 0, -129017428, 564615191184]$ |
\(y^2+xy=x^3+x^2-129017428x+564615191184\) |
3604.2.0.? |
$[(946573/12, 37346015/12)]$ |
| 95506.e1 |
95506a4 |
95506.e |
95506a |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2 \cdot 17^{6} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$21624$ |
$96$ |
$1$ |
$33.34985432$ |
$1$ |
|
$0$ |
$1797120$ |
$2.164635$ |
$159661140625/48275138$ |
$1.06848$ |
$4.32705$ |
$[1, 1, 0, -317475, -47710717]$ |
\(y^2+xy=x^3+x^2-317475x-47710717\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(14943055678498693/1976667, 1791478472546704711131599/1976667)]$ |
| 95506.e2 |
95506a3 |
95506.e |
95506a |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{2} \cdot 17^{3} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$21624$ |
$96$ |
$1$ |
$16.67492716$ |
$1$ |
|
$1$ |
$898560$ |
$1.818060$ |
$120920208625/19652$ |
$0.98564$ |
$4.30282$ |
$[1, 1, 0, -289385, -60030991]$ |
\(y^2+xy=x^3+x^2-289385x-60030991\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(855343267/473, 24554975235059/473)]$ |
| 95506.e3 |
95506a2 |
95506.e |
95506a |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{3} \cdot 17^{2} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$21624$ |
$96$ |
$1$ |
$11.11661810$ |
$1$ |
|
$0$ |
$599040$ |
$1.615328$ |
$8805624625/2312$ |
$0.96590$ |
$4.07436$ |
$[1, 1, 0, -120845, 16115381]$ |
\(y^2+xy=x^3+x^2-120845x+16115381\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(299977/19, 149032834/19)]$ |
| 95506.e4 |
95506a1 |
95506.e |
95506a |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{6} \cdot 17 \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$21624$ |
$96$ |
$1$ |
$5.558309054$ |
$1$ |
|
$1$ |
$299520$ |
$1.268753$ |
$3048625/1088$ |
$0.90010$ |
$3.37945$ |
$[1, 1, 0, -8485, 182733]$ |
\(y^2+xy=x^3+x^2-8485x+182733\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(11031/11, 499725/11)]$ |
| 95506.f1 |
95506b1 |
95506.f |
95506b |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{2} \cdot 17 \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3604$ |
$2$ |
$0$ |
$3.993098919$ |
$1$ |
|
$0$ |
$224640$ |
$1.348034$ |
$-117649/3604$ |
$0.85252$ |
$3.44337$ |
$[1, 1, 0, -2867, -435247]$ |
\(y^2+xy=x^3+x^2-2867x-435247\) |
3604.2.0.? |
$[(7297/3, 611248/3)]$ |
| 95506.g1 |
95506k1 |
95506.g |
95506k |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{6} \cdot 17^{5} \cdot 53^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3604$ |
$2$ |
$0$ |
$0.304082911$ |
$1$ |
|
$12$ |
$361920$ |
$1.428234$ |
$-71975722083173/90870848$ |
$0.96111$ |
$3.82145$ |
$[1, 0, 0, -45930, 3789028]$ |
\(y^2+xy=x^3-45930x+3789028\) |
3604.2.0.? |
$[(138, 220), (128, 42)]$ |
| 95506.h1 |
95506j1 |
95506.h |
95506j |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( 2^{28} \cdot 17^{3} \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$7208$ |
$48$ |
$0$ |
$3.737713950$ |
$1$ |
|
$1$ |
$43400448$ |
$3.873241$ |
$2481470116651671429817/3704574917476352$ |
$0.99228$ |
$6.37353$ |
$[1, 0, 0, -792282722, -8572565900732]$ |
\(y^2+xy=x^3-792282722x-8572565900732\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 136.24.0.?, $\ldots$ |
$[(-2768076/13, 240712486/13)]$ |
| 95506.h2 |
95506j2 |
95506.h |
95506j |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{14} \cdot 17^{6} \cdot 53^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$7208$ |
$48$ |
$0$ |
$7.475427901$ |
$1$ |
|
$2$ |
$86800896$ |
$4.219818$ |
$-886482566285905306297/3120447972650008576$ |
$1.04219$ |
$6.45448$ |
$[1, 0, 0, -562169442, -13653605191100]$ |
\(y^2+xy=x^3-562169442x-13653605191100\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 136.24.0.?, 212.12.0.?, $\ldots$ |
$[(118452, 39711934)]$ |
| 95506.i1 |
95506h1 |
95506.i |
95506h |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{5} \cdot 17 \cdot 53^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$34.16167481$ |
$1$ |
|
$0$ |
$3319920$ |
$2.512791$ |
$-2809/544$ |
$0.88904$ |
$4.66206$ |
$[1, 1, 1, -164385, -470054401]$ |
\(y^2+xy+y=x^3+x^2-164385x-470054401\) |
136.2.0.? |
$[(622035693927531/353350, 15324934034782452729271/353350)]$ |
| 95506.j1 |
95506i1 |
95506.j |
95506i |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{9} \cdot 17^{3} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21624$ |
$16$ |
$0$ |
$0.551650741$ |
$1$ |
|
$2$ |
$66096$ |
$0.595423$ |
$-5192525593/2515456$ |
$0.87645$ |
$2.69638$ |
$[1, 1, 1, -509, 5779]$ |
\(y^2+xy+y=x^3+x^2-509x+5779\) |
3.4.0.a.1, 136.2.0.?, 159.8.0.?, 408.8.0.?, 21624.16.0.? |
$[(-13, 108)]$ |
| 95506.j2 |
95506i2 |
95506.j |
95506i |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{27} \cdot 17 \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21624$ |
$16$ |
$0$ |
$1.654952225$ |
$1$ |
|
$2$ |
$198288$ |
$1.144730$ |
$2512127159927/2281701376$ |
$0.94215$ |
$3.18243$ |
$[1, 1, 1, 3996, -71707]$ |
\(y^2+xy+y=x^3+x^2+3996x-71707\) |
3.4.0.a.1, 136.2.0.?, 159.8.0.?, 408.8.0.?, 21624.16.0.? |
$[(93, 1009)]$ |
| 95506.k1 |
95506g2 |
95506.k |
95506g |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{18} \cdot 17^{3} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10812$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11726208$ |
$2.799076$ |
$-562271457628153/68259414016$ |
$0.92324$ |
$5.05585$ |
$[1, 1, 1, -4830134, -4496081741]$ |
\(y^2+xy+y=x^3+x^2-4830134x-4496081741\) |
3.4.0.a.1, 159.8.0.?, 204.8.0.?, 3604.2.0.?, 10812.16.0.? |
$[]$ |
| 95506.k2 |
95506g1 |
95506.k |
95506g |
$2$ |
$3$ |
\( 2 \cdot 17 \cdot 53^{2} \) |
\( - 2^{6} \cdot 17 \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10812$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3908736$ |
$2.249771$ |
$275005425527/161978176$ |
$0.92383$ |
$4.37447$ |
$[1, 1, 1, 380561, 12211573]$ |
\(y^2+xy+y=x^3+x^2+380561x+12211573\) |
3.4.0.a.1, 159.8.0.?, 204.8.0.?, 3604.2.0.?, 10812.16.0.? |
$[]$ |
