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 |
3146.d1 |
3146g1 |
3146.d |
3146g |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.528874332$ |
$1$ |
|
$4$ |
$576$ |
$0.091362$ |
$2224882033/53248$ |
$0.90167$ |
$3.26783$ |
$[1, 1, 0, -134, 532]$ |
\(y^2+xy=x^3+x^2-134x+532\) |
26.2.0.a.1 |
$[(-4, 34)]$ |
3146.l1 |
3146m1 |
3146.l |
3146m |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.286940417$ |
$1$ |
|
$6$ |
$6336$ |
$1.290310$ |
$2224882033/53248$ |
$0.90167$ |
$5.05422$ |
$[1, 1, 1, -16277, -789381]$ |
\(y^2+xy+y=x^3+x^2-16277x-789381\) |
26.2.0.a.1 |
$[(-71, 156)]$ |
25168.bg1 |
25168bi1 |
25168.bg |
25168bi |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.784509$ |
$2224882033/53248$ |
$0.90167$ |
$3.41808$ |
$[0, 1, 0, -2152, -38348]$ |
\(y^2=x^3+x^2-2152x-38348\) |
26.2.0.a.1 |
$[ ]$ |
25168.bh1 |
25168t1 |
25168.bh |
25168t |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$5.367512413$ |
$1$ |
|
$0$ |
$152064$ |
$1.983456$ |
$2224882033/53248$ |
$0.90167$ |
$4.83789$ |
$[0, 1, 0, -260432, 49999508]$ |
\(y^2=x^3+x^2-260432x+49999508\) |
26.2.0.a.1 |
$[(8594/5, 137728/5)]$ |
28314.f1 |
28314s1 |
28314.f |
28314s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$3.413332098$ |
$1$ |
|
$2$ |
$190080$ |
$1.839615$ |
$2224882033/53248$ |
$0.90167$ |
$4.61392$ |
$[1, -1, 0, -146493, 21166789]$ |
\(y^2+xy=x^3-x^2-146493x+21166789\) |
26.2.0.a.1 |
$[(138, 1819)]$ |
28314.bj1 |
28314cf1 |
28314.bj |
28314cf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.815149613$ |
$1$ |
|
$4$ |
$17280$ |
$0.640668$ |
$2224882033/53248$ |
$0.90167$ |
$3.21043$ |
$[1, -1, 1, -1211, -15573]$ |
\(y^2+xy+y=x^3-x^2-1211x-15573\) |
26.2.0.a.1 |
$[(-21, 26)]$ |
40898.j1 |
40898k1 |
40898.j |
40898k |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$2.572784$ |
$2224882033/53248$ |
$0.90167$ |
$5.28267$ |
$[1, 1, 0, -2750816, -1720515584]$ |
\(y^2+xy=x^3+x^2-2750816x-1720515584\) |
26.2.0.a.1 |
$[ ]$ |
40898.bj1 |
40898bk1 |
40898.bj |
40898bk |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.154358792$ |
$1$ |
|
$8$ |
$96768$ |
$1.373837$ |
$2224882033/53248$ |
$0.90167$ |
$3.92778$ |
$[1, 1, 1, -22734, 1282315]$ |
\(y^2+xy+y=x^3+x^2-22734x+1282315\) |
26.2.0.a.1 |
$[(109, 283)]$ |
78650.be1 |
78650n1 |
78650.be |
78650n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.745924095$ |
$1$ |
|
$0$ |
$811008$ |
$2.095028$ |
$2224882033/53248$ |
$0.90167$ |
$4.46765$ |
$[1, 0, 1, -406926, -97858752]$ |
\(y^2+xy+y=x^3-406926x-97858752\) |
26.2.0.a.1 |
$[(-18507/7, 548603/7)]$ |
78650.cq1 |
78650bt1 |
78650.cq |
78650bt |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.403854348$ |
$1$ |
|
$4$ |
$73728$ |
$0.896081$ |
$2224882033/53248$ |
$0.90167$ |
$3.19135$ |
$[1, 0, 0, -3363, 73217]$ |
\(y^2+xy=x^3-3363x+73217\) |
26.2.0.a.1 |
$[(22, 89)]$ |
100672.w1 |
100672da1 |
100672.w |
100672da |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{30} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$3.126556380$ |
$1$ |
|
$2$ |
$110592$ |
$1.131083$ |
$2224882033/53248$ |
$0.90167$ |
$3.36777$ |
$[0, -1, 0, -8609, -298175]$ |
\(y^2=x^3-x^2-8609x-298175\) |
26.2.0.a.1 |
$[(-57, 64)]$ |
100672.z1 |
100672dz1 |
100672.z |
100672dz |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{30} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$2.330029$ |
$2224882033/53248$ |
$0.90167$ |
$4.61671$ |
$[0, -1, 0, -1041729, 401037793]$ |
\(y^2=x^3-x^2-1041729x+401037793\) |
26.2.0.a.1 |
$[ ]$ |
100672.cs1 |
100672bj1 |
100672.cs |
100672bj |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{30} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$14.77223238$ |
$1$ |
|
$0$ |
$1216512$ |
$2.330029$ |
$2224882033/53248$ |
$0.90167$ |
$4.61671$ |
$[0, 1, 0, -1041729, -401037793]$ |
\(y^2=x^3+x^2-1041729x-401037793\) |
26.2.0.a.1 |
$[(-5881763/103, 2765616908/103)]$ |
100672.ct1 |
100672k1 |
100672.ct |
100672k |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{30} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.131083$ |
$2224882033/53248$ |
$0.90167$ |
$3.36777$ |
$[0, 1, 0, -8609, 298175]$ |
\(y^2=x^3+x^2-8609x+298175\) |
26.2.0.a.1 |
$[ ]$ |
154154.bb1 |
154154cn1 |
154154.bb |
154154cn |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 7^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.746361053$ |
$1$ |
|
$4$ |
$207360$ |
$1.064316$ |
$2224882033/53248$ |
$0.90167$ |
$3.18058$ |
$[1, 0, 1, -6592, -202226]$ |
\(y^2+xy+y=x^3-6592x-202226\) |
26.2.0.a.1 |
$[(-52, 1)]$ |
154154.cp1 |
154154bc1 |
154154.cp |
154154bc |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 7^{6} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.531906832$ |
$1$ |
|
$4$ |
$2280960$ |
$2.263264$ |
$2224882033/53248$ |
$0.90167$ |
$4.38497$ |
$[1, 0, 0, -797574, 268364900]$ |
\(y^2+xy=x^3-797574x+268364900\) |
26.2.0.a.1 |
$[(2188, 93770)]$ |
226512.be1 |
226512n1 |
226512.be |
226512n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.883474517$ |
$1$ |
|
$2$ |
$414720$ |
$1.333815$ |
$2224882033/53248$ |
$0.90167$ |
$3.34358$ |
$[0, 0, 0, -19371, 1016026]$ |
\(y^2=x^3-19371x+1016026\) |
26.2.0.a.1 |
$[(213, 2560)]$ |
226512.bs1 |
226512s1 |
226512.bs |
226512s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{6} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4561920$ |
$2.532761$ |
$2224882033/53248$ |
$0.90167$ |
$4.51039$ |
$[0, 0, 0, -2343891, -1352330606]$ |
\(y^2=x^3-2343891x-1352330606\) |
26.2.0.a.1 |
$[ ]$ |
327184.cz1 |
327184cz1 |
327184.cz |
327184cz |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{24} \cdot 11^{8} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.227682836$ |
$1$ |
|
$0$ |
$25546752$ |
$3.265930$ |
$2224882033/53248$ |
$0.90167$ |
$5.07262$ |
$[0, 1, 0, -44013064, 110024971252]$ |
\(y^2=x^3+x^2-44013064x+110024971252\) |
26.2.0.a.1 |
$[(-55058/3, 10469888/3)]$ |
327184.dc1 |
327184dc1 |
327184.dc |
327184dc |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{24} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.402049063$ |
$1$ |
|
$4$ |
$2322432$ |
$2.066982$ |
$2224882033/53248$ |
$0.90167$ |
$3.93961$ |
$[0, 1, 0, -363744, -82795660]$ |
\(y^2=x^3+x^2-363744x-82795660\) |
26.2.0.a.1 |
$[(-308, 338)]$ |
368082.da1 |
368082da1 |
368082.da |
368082da |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$3.810224737$ |
$1$ |
|
$2$ |
$2903040$ |
$1.923141$ |
$2224882033/53248$ |
$0.90167$ |
$3.76872$ |
$[1, -1, 0, -204606, -34827116]$ |
\(y^2+xy=x^3-x^2-204606x-34827116\) |
26.2.0.a.1 |
$[(855, 19937)]$ |
368082.hd1 |
368082hd1 |
368082.hd |
368082hd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31933440$ |
$3.122089$ |
$2224882033/53248$ |
$0.90167$ |
$4.89132$ |
$[1, -1, 1, -24757349, 46429163421]$ |
\(y^2+xy+y=x^3-x^2-24757349x+46429163421\) |
26.2.0.a.1 |
$[ ]$ |