| 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 |
| 4002.e1 |
4002d1 |
4002.e |
4002d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.770253$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.94125$ |
$[1, 0, 1, -699, 14470]$ |
\(y^2+xy+y=x^3-699x+14470\) |
8004.2.0.? |
$[]$ |
| 12006.r1 |
12006s1 |
12006.r |
12006s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3^{7} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.299335826$ |
$1$ |
|
$6$ |
$30720$ |
$1.319559$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.18204$ |
$[1, -1, 1, -6287, -390697]$ |
\(y^2+xy+y=x^3-x^2-6287x-390697\) |
8004.2.0.? |
$[(123, 766)]$ |
| 32016.f1 |
32016q1 |
32016.f |
32016q |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{28} \cdot 3 \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$2.858347106$ |
$1$ |
|
$2$ |
$92160$ |
$1.463400$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.95302$ |
$[0, -1, 0, -11176, -926096]$ |
\(y^2=x^3-x^2-11176x-926096\) |
8004.2.0.? |
$[(210, 2438)]$ |
| 92046.k1 |
92046e1 |
92046.k |
92046e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 23^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$7.897406806$ |
$1$ |
|
$0$ |
$2027520$ |
$2.338001$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.50601$ |
$[1, 0, 1, -369518, -176798560]$ |
\(y^2+xy+y=x^3-369518x-176798560\) |
8004.2.0.? |
$[(6763309/93, 2536659409/93)]$ |
| 96048.bc1 |
96048ba1 |
96048.bc |
96048ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{28} \cdot 3^{7} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$2.012707$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.14904$ |
$[0, 0, 0, -100587, 25105178]$ |
\(y^2=x^3-100587x+25105178\) |
8004.2.0.? |
$[]$ |
| 100050.bw1 |
100050br1 |
100050.bw |
100050br |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 5^{6} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$0.464611587$ |
$1$ |
|
$6$ |
$537600$ |
$1.574972$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.67810$ |
$[1, 1, 1, -17463, 1808781]$ |
\(y^2+xy+y=x^3+x^2-17463x+1808781\) |
8004.2.0.? |
$[(-21, 1482)]$ |
| 116058.u1 |
116058s1 |
116058.u |
116058s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23 \cdot 29^{2} \) |
\( - 2^{16} \cdot 3 \cdot 23^{3} \cdot 29^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1.198190878$ |
$1$ |
|
$16$ |
$3225600$ |
$2.453899$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.53570$ |
$[1, 1, 1, -587456, 354089825]$ |
\(y^2+xy+y=x^3+x^2-587456x+354089825\) |
8004.2.0.? |
$[(-955, 7205), (437, 13237)]$ |
| 128064.be1 |
128064j1 |
128064.be |
128064j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 3 \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.809975$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.84068$ |
$[0, -1, 0, -44705, 7453473]$ |
\(y^2=x^3-x^2-44705x+7453473\) |
8004.2.0.? |
$[]$ |
| 128064.df1 |
128064dq1 |
128064.df |
128064dq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 3 \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$11.76459300$ |
$1$ |
|
$0$ |
$737280$ |
$1.809975$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.84068$ |
$[0, 1, 0, -44705, -7453473]$ |
\(y^2=x^3+x^2-44705x-7453473\) |
8004.2.0.? |
$[(1840677/41, 2444207148/41)]$ |
| 196098.k1 |
196098ch1 |
196098.k |
196098ch |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 7^{6} \cdot 23^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$7.175610672$ |
$1$ |
|
$6$ |
$1474560$ |
$1.743208$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.64065$ |
$[1, 1, 0, -34227, -4997523]$ |
\(y^2+xy=x^3+x^2-34227x-4997523\) |
8004.2.0.? |
$[(566, 12261), (5942, 454885)]$ |
| 276138.bo1 |
276138bo1 |
276138.bo |
276138bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{7} \cdot 23^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1.883032073$ |
$1$ |
|
$2$ |
$16220160$ |
$2.887306$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.63701$ |
$[1, -1, 1, -3325658, 4773561113]$ |
\(y^2+xy+y=x^3-x^2-3325658x+4773561113\) |
8004.2.0.? |
$[(489, 56887)]$ |
| 300150.bd1 |
300150bd1 |
300150.bd |
300150bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{6} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$5.713749793$ |
$1$ |
|
$2$ |
$4300800$ |
$2.124279$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.88035$ |
$[1, -1, 0, -157167, -48994259]$ |
\(y^2+xy=x^3-x^2-157167x-48994259\) |
8004.2.0.? |
$[(18878, 2583713)]$ |
| 348174.q1 |
348174q1 |
348174.q |
348174q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23 \cdot 29^{2} \) |
\( - 2^{16} \cdot 3^{7} \cdot 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$3.641749764$ |
$1$ |
|
$2$ |
$25804800$ |
$3.003208$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.66177$ |
$[1, -1, 0, -5287104, -9565712384]$ |
\(y^2+xy=x^3-x^2-5287104x-9565712384\) |
8004.2.0.? |
$[(563840, 423097664)]$ |
| 384192.cb1 |
384192cb1 |
384192.cb |
384192cb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 3^{7} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$5.002383114$ |
$1$ |
|
$2$ |
$5898240$ |
$2.359280$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.02517$ |
$[0, 0, 0, -402348, 200841424]$ |
\(y^2=x^3-402348x+200841424\) |
8004.2.0.? |
$[(44, 13536)]$ |
| 384192.ce1 |
384192ce1 |
384192.ce |
384192ce |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 3^{7} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$1.551391327$ |
$1$ |
|
$4$ |
$5898240$ |
$2.359280$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$4.02517$ |
$[0, 0, 0, -402348, -200841424]$ |
\(y^2=x^3-402348x-200841424\) |
8004.2.0.? |
$[(14230, 1695744)]$ |
| 484242.dc1 |
484242dc1 |
484242.dc |
484242dc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 11^{6} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8004$ |
$2$ |
$0$ |
$5.971751147$ |
$1$ |
|
$2$ |
$4569600$ |
$1.969200$ |
$-37693095294889/69371756544$ |
$0.93242$ |
$3.59641$ |
$[1, 0, 0, -84521, -19344423]$ |
\(y^2+xy=x^3-84521x-19344423\) |
8004.2.0.? |
$[(552, 9837)]$ |
