| 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 |
| 4600.e1 |
4600c1 |
4600.e |
4600c |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$6.381582816$ |
$1$ |
|
$0$ |
$9120$ |
$1.280642$ |
$-19450850/529$ |
$0.85398$ |
$4.80783$ |
$[0, -1, 0, -15208, -733588]$ |
\(y^2=x^3-x^2-15208x-733588\) |
8.2.0.a.1 |
$[(2549/2, 125971/2)]$ |
| 4600.l1 |
4600n1 |
4600.l |
4600n |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1824$ |
$0.475923$ |
$-19450850/529$ |
$0.85398$ |
$3.66284$ |
$[0, 1, 0, -608, -6112]$ |
\(y^2=x^3+x^2-608x-6112\) |
8.2.0.a.1 |
$[]$ |
| 9200.k1 |
9200l1 |
9200.k |
9200l |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.119599032$ |
$1$ |
|
$26$ |
$3648$ |
$0.475923$ |
$-19450850/529$ |
$0.85398$ |
$3.38466$ |
$[0, -1, 0, -608, 6112]$ |
\(y^2=x^3-x^2-608x+6112\) |
8.2.0.a.1 |
$[(12, 20), (42, 230)]$ |
| 9200.bb1 |
9200g1 |
9200.bb |
9200g |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18240$ |
$1.280642$ |
$-19450850/529$ |
$0.85398$ |
$4.44270$ |
$[0, 1, 0, -15208, 733588]$ |
\(y^2=x^3+x^2-15208x+733588\) |
8.2.0.a.1 |
$[]$ |
| 36800.bg1 |
36800bq1 |
36800.bg |
36800bq |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.925484795$ |
$1$ |
|
$2$ |
$29184$ |
$0.822496$ |
$-19450850/529$ |
$0.85398$ |
$3.33394$ |
$[0, -1, 0, -2433, -46463]$ |
\(y^2=x^3-x^2-2433x-46463\) |
8.2.0.a.1 |
$[(193, 2576)]$ |
| 36800.bi1 |
36800ct1 |
36800.bi |
36800ct |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.338894991$ |
$1$ |
|
$4$ |
$145920$ |
$1.627216$ |
$-19450850/529$ |
$0.85398$ |
$4.25246$ |
$[0, -1, 0, -60833, 5929537]$ |
\(y^2=x^3-x^2-60833x+5929537\) |
8.2.0.a.1 |
$[(141, 368)]$ |
| 36800.cl1 |
36800h1 |
36800.cl |
36800h |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.666839529$ |
$1$ |
|
$0$ |
$145920$ |
$1.627216$ |
$-19450850/529$ |
$0.85398$ |
$4.25246$ |
$[0, 1, 0, -60833, -5929537]$ |
\(y^2=x^3+x^2-60833x-5929537\) |
8.2.0.a.1 |
$[(19201/3, 2642608/3)]$ |
| 36800.cn1 |
36800df1 |
36800.cn |
36800df |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.231452978$ |
$1$ |
|
$2$ |
$29184$ |
$0.822496$ |
$-19450850/529$ |
$0.85398$ |
$3.33394$ |
$[0, 1, 0, -2433, 46463]$ |
\(y^2=x^3+x^2-2433x+46463\) |
8.2.0.a.1 |
$[(37, 92)]$ |
| 41400.c1 |
41400cc1 |
41400.c |
41400cc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$273600$ |
$1.829948$ |
$-19450850/529$ |
$0.85398$ |
$4.43419$ |
$[0, 0, 0, -136875, 19943750]$ |
\(y^2=x^3-136875x+19943750\) |
8.2.0.a.1 |
$[]$ |
| 41400.cc1 |
41400w1 |
41400.cc |
41400w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.571478555$ |
$1$ |
|
$0$ |
$54720$ |
$1.025229$ |
$-19450850/529$ |
$0.85398$ |
$3.52584$ |
$[0, 0, 0, -5475, 159550]$ |
\(y^2=x^3-5475x+159550\) |
8.2.0.a.1 |
$[(201/2, 851/2)]$ |
| 82800.r1 |
82800cf1 |
82800.r |
82800cf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109440$ |
$1.025229$ |
$-19450850/529$ |
$0.85398$ |
$3.31003$ |
$[0, 0, 0, -5475, -159550]$ |
\(y^2=x^3-5475x-159550\) |
8.2.0.a.1 |
$[]$ |
| 82800.fq1 |
82800y1 |
82800.fq |
82800y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$547200$ |
$1.829948$ |
$-19450850/529$ |
$0.85398$ |
$4.16277$ |
$[0, 0, 0, -136875, -19943750]$ |
\(y^2=x^3-136875x-19943750\) |
8.2.0.a.1 |
$[]$ |
| 105800.m1 |
105800h1 |
105800.m |
105800h |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4815360$ |
$2.848389$ |
$-19450850/529$ |
$0.85398$ |
$5.13093$ |
$[0, -1, 0, -8045208, 8989926412]$ |
\(y^2=x^3-x^2-8045208x+8989926412\) |
8.2.0.a.1 |
$[]$ |
| 105800.t1 |
105800bc1 |
105800.t |
105800bc |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$963072$ |
$2.043671$ |
$-19450850/529$ |
$0.85398$ |
$4.29625$ |
$[0, 1, 0, -321808, 71790688]$ |
\(y^2=x^3+x^2-321808x+71790688\) |
8.2.0.a.1 |
$[]$ |
| 211600.bq1 |
211600cz1 |
211600.bq |
211600cz |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$9.054575854$ |
$1$ |
|
$0$ |
$1926144$ |
$2.043671$ |
$-19450850/529$ |
$0.85398$ |
$4.05340$ |
$[0, -1, 0, -321808, -71790688]$ |
\(y^2=x^3-x^2-321808x-71790688\) |
8.2.0.a.1 |
$[(20564/5, 1851412/5)]$ |
| 211600.cr1 |
211600dq1 |
211600.cr |
211600dq |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9630720$ |
$2.848389$ |
$-19450850/529$ |
$0.85398$ |
$4.84090$ |
$[0, 1, 0, -8045208, -8989926412]$ |
\(y^2=x^3+x^2-8045208x-8989926412\) |
8.2.0.a.1 |
$[]$ |
| 225400.bg1 |
225400o1 |
225400.bg |
225400o |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.610643875$ |
$1$ |
|
$2$ |
$525312$ |
$1.448879$ |
$-19450850/529$ |
$0.85398$ |
$3.45355$ |
$[0, -1, 0, -29808, 2036812]$ |
\(y^2=x^3-x^2-29808x+2036812\) |
8.2.0.a.1 |
$[(453, 9016)]$ |
| 225400.bz1 |
225400ci1 |
225400.bz |
225400ci |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{10} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2626560$ |
$2.253597$ |
$-19450850/529$ |
$0.85398$ |
$4.23701$ |
$[0, 1, 0, -745208, 253111088]$ |
\(y^2=x^3+x^2-745208x+253111088\) |
8.2.0.a.1 |
$[]$ |
| 331200.y1 |
331200y1 |
331200.y |
331200y |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.143042260$ |
$1$ |
|
$4$ |
$875520$ |
$1.371803$ |
$-19450850/529$ |
$0.85398$ |
$3.27621$ |
$[0, 0, 0, -21900, -1276400]$ |
\(y^2=x^3-21900x-1276400\) |
8.2.0.a.1 |
$[(210, 1840)]$ |
| 331200.bn1 |
331200bn1 |
331200.bn |
331200bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.026990988$ |
$1$ |
|
$2$ |
$4377600$ |
$2.176521$ |
$-19450850/529$ |
$0.85398$ |
$4.03595$ |
$[0, 0, 0, -547500, 159550000]$ |
\(y^2=x^3-547500x+159550000\) |
8.2.0.a.1 |
$[(54, 11408)]$ |
| 331200.pp1 |
331200pp1 |
331200.pp |
331200pp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$22.47404759$ |
$1$ |
|
$0$ |
$4377600$ |
$2.176521$ |
$-19450850/529$ |
$0.85398$ |
$4.03595$ |
$[0, 0, 0, -547500, -159550000]$ |
\(y^2=x^3-547500x-159550000\) |
8.2.0.a.1 |
$[(37822531024/6369, 3063278885070268/6369)]$ |
| 331200.qc1 |
331200qc1 |
331200.qc |
331200qc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.501090547$ |
$1$ |
|
$2$ |
$875520$ |
$1.371803$ |
$-19450850/529$ |
$0.85398$ |
$3.27621$ |
$[0, 0, 0, -21900, 1276400]$ |
\(y^2=x^3-21900x+1276400\) |
8.2.0.a.1 |
$[(20, 920)]$ |
| 450800.bz1 |
450800bz1 |
450800.bz |
450800bz |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{10} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.929092461$ |
$1$ |
|
$2$ |
$5253120$ |
$2.253597$ |
$-19450850/529$ |
$0.85398$ |
$4.01142$ |
$[0, -1, 0, -745208, -253111088]$ |
\(y^2=x^3-x^2-745208x-253111088\) |
8.2.0.a.1 |
$[(185946, 80181542)]$ |
| 450800.ej1 |
450800ej1 |
450800.ej |
450800ej |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.970292439$ |
$1$ |
|
$2$ |
$1050624$ |
$1.448879$ |
$-19450850/529$ |
$0.85398$ |
$3.26967$ |
$[0, 1, 0, -29808, -2036812]$ |
\(y^2=x^3+x^2-29808x-2036812\) |
8.2.0.a.1 |
$[(214, 1196)]$ |
