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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
1002.c1 |
1002c1 |
1002.c |
1002c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.108540171$ |
$1$ |
|
$8$ |
$1008$ |
$0.777400$ |
$-3843995587427449/6390046584$ |
$[1, 0, 1, -3264, 71590]$ |
\(y^2+xy+y=x^3-3264x+71590\) |
1336.2.0.? |
$[(32, -3)]$ |
3006.f1 |
3006d1 |
3006.f |
3006d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{20} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$4.435061755$ |
$1$ |
|
$2$ |
$8064$ |
$1.326706$ |
$-3843995587427449/6390046584$ |
$[1, -1, 1, -29372, -1932937]$ |
\(y^2+xy+y=x^3-x^2-29372x-1932937\) |
1336.2.0.? |
$[(303, 3961)]$ |
8016.b1 |
8016e1 |
8016.b |
8016e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 167 \) |
\( - 2^{15} \cdot 3^{14} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.470547$ |
$-3843995587427449/6390046584$ |
$[0, -1, 0, -52216, -4581776]$ |
\(y^2=x^3-x^2-52216x-4581776\) |
1336.2.0.? |
$[]$ |
24048.i1 |
24048h1 |
24048.i |
24048h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{20} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$2.019852$ |
$-3843995587427449/6390046584$ |
$[0, 0, 0, -469947, 124177898]$ |
\(y^2=x^3-469947x+124177898\) |
1336.2.0.? |
$[]$ |
25050.s1 |
25050m1 |
25050.s |
25050m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 5^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$1.582119$ |
$-3843995587427449/6390046584$ |
$[1, 1, 1, -81588, 8948781]$ |
\(y^2+xy+y=x^3+x^2-81588x+8948781\) |
1336.2.0.? |
$[]$ |
32064.h1 |
32064f1 |
32064.h |
32064f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 167 \) |
\( - 2^{21} \cdot 3^{14} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.817120$ |
$-3843995587427449/6390046584$ |
$[0, -1, 0, -208865, 36863073]$ |
\(y^2=x^3-x^2-208865x+36863073\) |
1336.2.0.? |
$[]$ |
32064.u1 |
32064s1 |
32064.u |
32064s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 167 \) |
\( - 2^{21} \cdot 3^{14} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$2.605688751$ |
$1$ |
|
$2$ |
$193536$ |
$1.817120$ |
$-3843995587427449/6390046584$ |
$[0, 1, 0, -208865, -36863073]$ |
\(y^2=x^3+x^2-208865x-36863073\) |
1336.2.0.? |
$[(661, 10692)]$ |
49098.f1 |
49098c1 |
49098.f |
49098c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 7^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$381024$ |
$1.750355$ |
$-3843995587427449/6390046584$ |
$[1, 1, 0, -159912, -24715368]$ |
\(y^2+xy=x^3+x^2-159912x-24715368\) |
1336.2.0.? |
$[]$ |
75150.r1 |
75150m1 |
75150.r |
75150m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{20} \cdot 5^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$30.88897364$ |
$1$ |
|
$0$ |
$1128960$ |
$2.131424$ |
$-3843995587427449/6390046584$ |
$[1, -1, 0, -734292, -242351384]$ |
\(y^2+xy=x^3-x^2-734292x-242351384\) |
1336.2.0.? |
$[(64085065110503/167659, 464243874455661528437/167659)]$ |
96192.h1 |
96192c1 |
96192.h |
96192c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 167 \) |
\( - 2^{21} \cdot 3^{20} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1548288$ |
$2.366428$ |
$-3843995587427449/6390046584$ |
$[0, 0, 0, -1879788, -993423184]$ |
\(y^2=x^3-1879788x-993423184\) |
1336.2.0.? |
$[]$ |
96192.i1 |
96192x1 |
96192.i |
96192x |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 167 \) |
\( - 2^{21} \cdot 3^{20} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.366428$ |
$-3843995587427449/6390046584$ |
$[0, 0, 0, -1879788, 993423184]$ |
\(y^2=x^3-1879788x+993423184\) |
1336.2.0.? |
$[]$ |
121242.bj1 |
121242bj1 |
121242.bj |
121242bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 11^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1411200$ |
$1.976347$ |
$-3843995587427449/6390046584$ |
$[1, 0, 0, -394886, -95681508]$ |
\(y^2+xy=x^3-394886x-95681508\) |
1336.2.0.? |
$[]$ |
147294.bx1 |
147294n1 |
147294.bx |
147294n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{20} \cdot 7^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$5.981190912$ |
$1$ |
|
$2$ |
$3048192$ |
$2.299660$ |
$-3843995587427449/6390046584$ |
$[1, -1, 1, -1439213, 665875725]$ |
\(y^2+xy+y=x^3-x^2-1439213x+665875725\) |
1336.2.0.? |
$[(2057, 79008)]$ |
167334.f1 |
167334i1 |
167334.f |
167334i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 167^{2} \) |
\( - 2^{3} \cdot 3^{14} \cdot 167^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$11.25246800$ |
$1$ |
|
$0$ |
$28111104$ |
$3.336395$ |
$-3843995587427449/6390046584$ |
$[1, 0, 1, -91016333, -334703166496]$ |
\(y^2+xy+y=x^3-91016333x-334703166496\) |
1336.2.0.? |
$[(134444571/82, 1326840463063/82)]$ |
169338.z1 |
169338e1 |
169338.z |
169338e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 13^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.266873785$ |
$1$ |
|
$6$ |
$1935360$ |
$2.059875$ |
$-3843995587427449/6390046584$ |
$[1, 0, 0, -551535, 157835313]$ |
\(y^2+xy=x^3-551535x+157835313\) |
1336.2.0.? |
$[(768, 13305)]$ |
200400.ce1 |
200400p1 |
200400.ce |
200400p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{14} \cdot 5^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3386880$ |
$2.275265$ |
$-3843995587427449/6390046584$ |
$[0, 1, 0, -1305408, -575332812]$ |
\(y^2=x^3+x^2-1305408x-575332812\) |
1336.2.0.? |
$[]$ |
289578.b1 |
289578b1 |
289578.b |
289578b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 17^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$2.317493428$ |
$1$ |
|
$0$ |
$4967424$ |
$2.194008$ |
$-3843995587427449/6390046584$ |
$[1, 1, 0, -943157, 352666053]$ |
\(y^2+xy=x^3+x^2-943157x+352666053\) |
1336.2.0.? |
$[(15461/5, 277369/5)]$ |
361722.q1 |
361722q1 |
361722.q |
361722q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 19^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$12.97640630$ |
$1$ |
|
$0$ |
$6967296$ |
$2.249619$ |
$-3843995587427449/6390046584$ |
$[1, 1, 1, -1178131, -493393783]$ |
\(y^2+xy+y=x^3+x^2-1178131x-493393783\) |
1336.2.0.? |
$[(406371941/569, 380207315184/569)]$ |
363726.bc1 |
363726bc1 |
363726.bc |
363726bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{20} \cdot 11^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11289600$ |
$2.525654$ |
$-3843995587427449/6390046584$ |
$[1, -1, 0, -3553974, 2583400716]$ |
\(y^2+xy=x^3-x^2-3553974x+2583400716\) |
1336.2.0.? |
$[]$ |
392784.cm1 |
392784cm1 |
392784.cm |
392784cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{14} \cdot 7^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1.666350110$ |
$1$ |
|
$4$ |
$9144576$ |
$2.443501$ |
$-3843995587427449/6390046584$ |
$[0, 1, 0, -2558600, 1576666356]$ |
\(y^2=x^3+x^2-2558600x+1576666356\) |
1336.2.0.? |
$[(844, 4374)]$ |