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 |
106.d1 |
106c2 |
106.d |
106c |
$2$ |
$3$ |
\( 2 \cdot 53 \) |
\( - 2^{8} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$636$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$0.977397$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$8.99454$ |
$[1, 0, 0, -24603, -1487407]$ |
\(y^2+xy=x^3-24603x-1487407\) |
3.8.0-3.a.1.1, 212.2.0.?, 636.16.0.? |
$[]$ |
848.c1 |
848b2 |
848.c |
848b |
$2$ |
$3$ |
\( 2^{4} \cdot 53 \) |
\( - 2^{20} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$636$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$1.670544$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$7.45427$ |
$[0, -1, 0, -393648, 95194048]$ |
\(y^2=x^3-x^2-393648x+95194048\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 212.2.0.?, 318.8.0.?, 636.16.0.? |
$[]$ |
954.c1 |
954e2 |
954.c |
954e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 53^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$636$ |
$16$ |
$0$ |
$3.070176751$ |
$1$ |
|
$4$ |
$4320$ |
$1.526703$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$7.07470$ |
$[1, -1, 0, -221427, 40159989]$ |
\(y^2+xy=x^3-x^2-221427x+40159989\) |
3.8.0-3.a.1.2, 212.2.0.?, 636.16.0.? |
$[(310, 957)]$ |
2650.b1 |
2650b2 |
2650.b |
2650b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 53 \) |
\( - 2^{8} \cdot 5^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.782116$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.54657$ |
$[1, 1, 0, -615075, -185925875]$ |
\(y^2+xy=x^3+x^2-615075x-185925875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 3180.16.0.? |
$[]$ |
3392.g1 |
3392g2 |
3392.g |
3392g |
$2$ |
$3$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{26} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$2.017117$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.69467$ |
$[0, -1, 0, -1574593, -759977791]$ |
\(y^2=x^3-x^2-1574593x-759977791\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[]$ |
3392.k1 |
3392p2 |
3392.k |
3392p |
$2$ |
$3$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{26} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$0.670970881$ |
$1$ |
|
$4$ |
$27648$ |
$2.017117$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.69467$ |
$[0, 1, 0, -1574593, 759977791]$ |
\(y^2=x^3+x^2-1574593x+759977791\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(15, 27136)]$ |
5194.n1 |
5194n2 |
5194.n |
5194n |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 53 \) |
\( - 2^{8} \cdot 7^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4452$ |
$16$ |
$0$ |
$0.513655574$ |
$1$ |
|
$6$ |
$41472$ |
$1.950352$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.26760$ |
$[1, 1, 1, -1205548, 508975053]$ |
\(y^2+xy+y=x^3+x^2-1205548x+508975053\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 4452.16.0.? |
$[(629, -119)]$ |
5618.a1 |
5618b2 |
5618.a |
5618b |
$2$ |
$3$ |
\( 2 \cdot 53^{2} \) |
\( - 2^{8} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$636$ |
$16$ |
$0$ |
$18.52751714$ |
$1$ |
|
$0$ |
$404352$ |
$2.962543$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$7.61747$ |
$[1, 1, 0, -69109885, -221164252483]$ |
\(y^2+xy=x^3+x^2-69109885x-221164252483\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 159.8.0.?, 212.2.0.?, 636.16.0.? |
$[(20114134234/851, 2697925095100609/851)]$ |
7632.k1 |
7632m2 |
7632.k |
7632m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 53 \) |
\( - 2^{20} \cdot 3^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$636$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$103680$ |
$2.219849$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.35954$ |
$[0, 0, 0, -3542835, -2566696462]$ |
\(y^2=x^3-3542835x-2566696462\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 212.2.0.?, 318.8.0.?, 636.16.0.? |
$[]$ |
12826.d1 |
12826b2 |
12826.d |
12826b |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 53 \) |
\( - 2^{8} \cdot 11^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6996$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$2.176346$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.95533$ |
$[1, 0, 1, -2976966, 1976761752]$ |
\(y^2+xy+y=x^3-2976966x+1976761752\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 6996.16.0.? |
$[]$ |
17914.e1 |
17914a2 |
17914.e |
17914a |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 53 \) |
\( - 2^{8} \cdot 13^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8268$ |
$16$ |
$0$ |
$46.60974684$ |
$1$ |
|
$0$ |
$295488$ |
$2.259872$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.85451$ |
$[1, 0, 1, -4157911, -3263675270]$ |
\(y^2+xy+y=x^3-4157911x-3263675270\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 8268.16.0.? |
$[(636700909139969335399/229849047, 15745990861572107007006971318260/229849047)]$ |
21200.s1 |
21200p2 |
21200.s |
21200p |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 53 \) |
\( - 2^{20} \cdot 5^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$1.184799666$ |
$1$ |
|
$2$ |
$497664$ |
$2.475262$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.01499$ |
$[0, 1, 0, -9841208, 11879573588]$ |
\(y^2=x^3+x^2-9841208x+11879573588\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 1590.8.0.?, $\ldots$ |
$[(1628, 13250)]$ |
23850.df1 |
23850ck2 |
23850.df |
23850ck |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$1.460778613$ |
$1$ |
|
$4$ |
$622080$ |
$2.331421$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.77346$ |
$[1, -1, 1, -5535680, 5014462947]$ |
\(y^2+xy+y=x^3-x^2-5535680x+5014462947\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 3180.16.0.? |
$[(1359, -655)]$ |
30528.z1 |
30528g2 |
30528.z |
30528g |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{26} \cdot 3^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.566425$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.90853$ |
$[0, 0, 0, -14171340, 20533571696]$ |
\(y^2=x^3-14171340x+20533571696\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[]$ |
30528.bf1 |
30528bk2 |
30528.bf |
30528bk |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{26} \cdot 3^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$41.49692024$ |
$1$ |
|
$0$ |
$829440$ |
$2.566425$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.90853$ |
$[0, 0, 0, -14171340, -20533571696]$ |
\(y^2=x^3-14171340x-20533571696\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(33319453131170383314/12402047, 192300659108104701458147837440/12402047)]$ |
30634.f1 |
30634e2 |
30634.f |
30634e |
$2$ |
$3$ |
\( 2 \cdot 17^{2} \cdot 53 \) |
\( - 2^{8} \cdot 17^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10812$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$725760$ |
$2.394005$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.70625$ |
$[1, 1, 1, -7110273, -7300520321]$ |
\(y^2+xy+y=x^3+x^2-7110273x-7300520321\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 10812.16.0.? |
$[]$ |
38266.b1 |
38266e2 |
38266.b |
38266e |
$2$ |
$3$ |
\( 2 \cdot 19^{2} \cdot 53 \) |
\( - 2^{8} \cdot 19^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12084$ |
$16$ |
$0$ |
$0.712160937$ |
$1$ |
|
$4$ |
$1034208$ |
$2.449615$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.64920$ |
$[1, 1, 0, -8881690, 10184361236]$ |
\(y^2+xy=x^3+x^2-8881690x+10184361236\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 12084.16.0.? |
$[(1732, -18)]$ |
41552.bg1 |
41552be2 |
41552.bg |
41552be |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 53 \) |
\( - 2^{20} \cdot 7^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4452$ |
$16$ |
$0$ |
$42.63008393$ |
$1$ |
|
$0$ |
$995328$ |
$2.643501$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.82421$ |
$[0, 1, 0, -19288768, -32612980940]$ |
\(y^2=x^3+x^2-19288768x-32612980940\) |
3.4.0.a.1, 84.8.0.?, 212.2.0.?, 636.8.0.?, 2226.8.0.?, $\ldots$ |
$[(45287028826719661732/13117161, 304719825459552296443846119854/13117161)]$ |
44944.i1 |
44944b2 |
44944.i |
44944b |
$2$ |
$3$ |
\( 2^{4} \cdot 53^{2} \) |
\( - 2^{20} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$636$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9704448$ |
$3.655689$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.91532$ |
$[0, 1, 0, -1105758168, 14152300642580]$ |
\(y^2=x^3+x^2-1105758168x+14152300642580\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 212.2.0.?, 636.16.0.? |
$[]$ |
46746.n1 |
46746n2 |
46746.n |
46746n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4452$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1244160$ |
$2.499657$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.59988$ |
$[1, -1, 0, -10849932, -13753176368]$ |
\(y^2+xy=x^3-x^2-10849932x-13753176368\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 4452.16.0.? |
$[]$ |
50562.z1 |
50562bb2 |
50562.z |
50562bb |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 53^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$636$ |
$16$ |
$0$ |
$2.287200791$ |
$1$ |
|
$2$ |
$12130560$ |
$3.511848$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.68075$ |
$[1, -1, 1, -621988970, 5970812828073]$ |
\(y^2+xy+y=x^3-x^2-621988970x+5970812828073\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 159.8.0.?, 212.2.0.?, 636.16.0.? |
$[(-22167, 2988623)]$ |
56074.g1 |
56074f2 |
56074.g |
56074f |
$2$ |
$3$ |
\( 2 \cdot 23^{2} \cdot 53 \) |
\( - 2^{8} \cdot 23^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14628$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1796256$ |
$2.545143$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.55662$ |
$[1, 0, 0, -13014998, 18071250980]$ |
\(y^2+xy=x^3-13014998x+18071250980\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 14628.16.0.? |
$[]$ |
84800.t1 |
84800bo2 |
84800.t |
84800bo |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{26} \cdot 5^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3981312$ |
$2.821838$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.64667$ |
$[0, -1, 0, -39364833, 95075953537]$ |
\(y^2=x^3-x^2-39364833x+95075953537\) |
3.4.0.a.1, 120.8.0.?, 212.2.0.?, 636.8.0.?, 6360.16.0.? |
$[]$ |
84800.by1 |
84800b2 |
84800.by |
84800b |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{26} \cdot 5^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$81.62149798$ |
$1$ |
|
$0$ |
$3981312$ |
$2.821838$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.64667$ |
$[0, 1, 0, -39364833, -95075953537]$ |
\(y^2=x^3+x^2-39364833x-95075953537\) |
3.4.0.a.1, 120.8.0.?, 212.2.0.?, 636.8.0.?, 6360.16.0.? |
$[(2786833290944216700354434801821196113/2171993547683829, 4652027314797905975691070859844409927166154156566288800/2171993547683829)]$ |
89146.a1 |
89146a2 |
89146.a |
89146a |
$2$ |
$3$ |
\( 2 \cdot 29^{2} \cdot 53 \) |
\( - 2^{8} \cdot 29^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18444$ |
$16$ |
$0$ |
$42.88477519$ |
$1$ |
|
$0$ |
$3302208$ |
$2.661045$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.45263$ |
$[1, 1, 0, -20691140, -36234987056]$ |
\(y^2+xy=x^3+x^2-20691140x-36234987056\) |
3.4.0.a.1, 87.8.0.?, 212.2.0.?, 636.8.0.?, 18444.16.0.? |
$[(15444642184933949144/23156887, 59711053757993531534013679476/23156887)]$ |
101866.k1 |
101866p2 |
101866.k |
101866p |
$2$ |
$3$ |
\( 2 \cdot 31^{2} \cdot 53 \) |
\( - 2^{8} \cdot 31^{6} \cdot 53^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19716$ |
$16$ |
$0$ |
$0.472957979$ |
$1$ |
|
$8$ |
$4354560$ |
$2.694389$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.42426$ |
$[1, 1, 1, -23643503, 44240411445]$ |
\(y^2+xy+y=x^3+x^2-23643503x+44240411445\) |
3.4.0.a.1, 93.8.0.?, 212.2.0.?, 636.8.0.?, 19716.16.0.? |
$[(3345, 49260), (2911, 8154)]$ |
102608.j1 |
102608r2 |
102608.j |
102608r |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 53 \) |
\( - 2^{20} \cdot 11^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6996$ |
$16$ |
$0$ |
$19.01290727$ |
$1$ |
|
$0$ |
$4976640$ |
$2.869492$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.60295$ |
$[0, -1, 0, -47631448, -126512752144]$ |
\(y^2=x^3-x^2-47631448x-126512752144\) |
3.4.0.a.1, 132.8.0.?, 212.2.0.?, 636.8.0.?, 3498.8.0.?, $\ldots$ |
$[(3040418506/485, 135809889431546/485)]$ |
115434.bo1 |
115434bs2 |
115434.bo |
115434bs |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6996$ |
$16$ |
$0$ |
$7.786639111$ |
$1$ |
|
$0$ |
$6220800$ |
$2.725651$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.39826$ |
$[1, -1, 1, -26792690, -53372567311]$ |
\(y^2+xy+y=x^3-x^2-26792690x-53372567311\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 6996.16.0.? |
$[(70273/3, 12367741/3)]$ |
129850.x1 |
129850f2 |
129850.x |
129850f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22260$ |
$16$ |
$0$ |
$1.022415903$ |
$1$ |
|
$0$ |
$5971968$ |
$2.755070$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.37429$ |
$[1, 0, 1, -30138701, 63682159048]$ |
\(y^2+xy+y=x^3-30138701x+63682159048\) |
3.4.0.a.1, 105.8.0.?, 212.2.0.?, 636.8.0.?, 22260.16.0.? |
$[(30283/3, 473962/3)]$ |
140450.y1 |
140450k2 |
140450.y |
140450k |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 53^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$58226688$ |
$3.767262$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.36348$ |
$[1, 0, 0, -1727747138, -27642076066108]$ |
\(y^2+xy=x^3-1727747138x-27642076066108\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 212.2.0.?, 636.8.0.?, 795.8.0.?, $\ldots$ |
$[]$ |
143312.g1 |
143312e2 |
143312.g |
143312e |
$2$ |
$3$ |
\( 2^{4} \cdot 13^{2} \cdot 53 \) |
\( - 2^{20} \cdot 13^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8268$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7091712$ |
$2.953018$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.52970$ |
$[0, -1, 0, -66526568, 208875217264]$ |
\(y^2=x^3-x^2-66526568x+208875217264\) |
3.4.0.a.1, 156.8.0.?, 212.2.0.?, 636.8.0.?, 4134.8.0.?, $\ldots$ |
$[]$ |
145114.b1 |
145114f2 |
145114.b |
145114f |
$2$ |
$3$ |
\( 2 \cdot 37^{2} \cdot 53 \) |
\( - 2^{8} \cdot 37^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$23532$ |
$16$ |
$0$ |
$51.17823799$ |
$1$ |
|
$0$ |
$7356096$ |
$2.782856$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.35208$ |
$[1, 0, 1, -33681536, -75240582194]$ |
\(y^2+xy+y=x^3-33681536x-75240582194\) |
3.4.0.a.1, 111.8.0.?, 212.2.0.?, 636.8.0.?, 23532.16.0.? |
$[(53430856830383067385393/2039824581, 10714126603171898319628798782972311/2039824581)]$ |
161226.bi1 |
161226l2 |
161226.bi |
161226l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8268$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8864640$ |
$2.809177$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.33143$ |
$[1, -1, 1, -37421195, 88119232283]$ |
\(y^2+xy+y=x^3-x^2-37421195x+88119232283\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 8268.16.0.? |
$[]$ |
166208.bi1 |
166208r2 |
166208.bi |
166208r |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{26} \cdot 7^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8904$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.990074$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.49851$ |
$[0, -1, 0, -77155073, -260826692447]$ |
\(y^2=x^3-x^2-77155073x-260826692447\) |
3.4.0.a.1, 168.8.0.?, 212.2.0.?, 636.8.0.?, 8904.16.0.? |
$[]$ |
166208.db1 |
166208do2 |
166208.db |
166208do |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{26} \cdot 7^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8904$ |
$16$ |
$0$ |
$3.732985349$ |
$1$ |
|
$2$ |
$7962624$ |
$2.990074$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.49851$ |
$[0, 1, 0, -77155073, 260826692447]$ |
\(y^2=x^3+x^2-77155073x+260826692447\) |
3.4.0.a.1, 168.8.0.?, 212.2.0.?, 636.8.0.?, 8904.16.0.? |
$[(-2119, 644056)]$ |
178186.d1 |
178186a2 |
178186.d |
178186a |
$2$ |
$3$ |
\( 2 \cdot 41^{2} \cdot 53 \) |
\( - 2^{8} \cdot 41^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26076$ |
$16$ |
$0$ |
$6.965527085$ |
$1$ |
|
$2$ |
$9953280$ |
$2.834183$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.31214$ |
$[1, 1, 1, -41357678, -102389504853]$ |
\(y^2+xy+y=x^3+x^2-41357678x-102389504853\) |
3.4.0.a.1, 123.8.0.?, 212.2.0.?, 636.8.0.?, 26076.16.0.? |
$[(119149, 41007255)]$ |
179776.p1 |
179776g2 |
179776.p |
179776g |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{26} \cdot 53^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$10.39046709$ |
$1$ |
|
$2$ |
$77635584$ |
$4.002266$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.46672$ |
$[0, -1, 0, -4423032673, 113222828173313]$ |
\(y^2=x^3-x^2-4423032673x+113222828173313\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(40139, 595508), (231731509/77, 106750988800/77)]$ |
179776.ba1 |
179776bg2 |
179776.ba |
179776bg |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{26} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$49.35612059$ |
$1$ |
|
$0$ |
$77635584$ |
$4.002266$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.46672$ |
$[0, 1, 0, -4423032673, -113222828173313]$ |
\(y^2=x^3+x^2-4423032673x-113222828173313\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(4377125718036007813771381/5803253733, 7588154950059712490647577484305154740/5803253733)]$ |
190800.l1 |
190800bn2 |
190800.l |
190800bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{20} \cdot 3^{6} \cdot 5^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$33.92333819$ |
$1$ |
|
$0$ |
$14929920$ |
$3.024570$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.47016$ |
$[0, 0, 0, -88570875, -320837057750]$ |
\(y^2=x^3-88570875x-320837057750\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 1590.8.0.?, $\ldots$ |
$[(5335968149234415/111929, 389684287122060984032650/111929)]$ |
195994.b1 |
195994h2 |
195994.b |
195994h |
$2$ |
$3$ |
\( 2 \cdot 43^{2} \cdot 53 \) |
\( - 2^{8} \cdot 43^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$27348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11104128$ |
$2.857998$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.29407$ |
$[1, 1, 0, -45490985, 118077304453]$ |
\(y^2+xy=x^3+x^2-45490985x+118077304453\) |
3.4.0.a.1, 129.8.0.?, 212.2.0.?, 636.8.0.?, 27348.16.0.? |
$[]$ |
234154.j1 |
234154j2 |
234154.j |
234154j |
$2$ |
$3$ |
\( 2 \cdot 47^{2} \cdot 53 \) |
\( - 2^{8} \cdot 47^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29892$ |
$16$ |
$0$ |
$2.285817312$ |
$1$ |
|
$0$ |
$15023232$ |
$2.902470$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.26106$ |
$[1, 0, 0, -54348073, 154209664729]$ |
\(y^2+xy=x^3-54348073x+154209664729\) |
3.4.0.a.1, 141.8.0.?, 212.2.0.?, 636.8.0.?, 29892.16.0.? |
$[(38410/3, -22271/3)]$ |
245072.q1 |
245072q2 |
245072.q |
245072q |
$2$ |
$3$ |
\( 2^{4} \cdot 17^{2} \cdot 53 \) |
\( - 2^{20} \cdot 17^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10812$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17418240$ |
$3.087151$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.42033$ |
$[0, 1, 0, -113764368, 467005771796]$ |
\(y^2=x^3+x^2-113764368x+467005771796\) |
3.4.0.a.1, 204.8.0.?, 212.2.0.?, 636.8.0.?, 5406.8.0.?, $\ldots$ |
$[]$ |
275282.m1 |
275282m2 |
275282.m |
275282m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 53^{2} \) |
\( - 2^{8} \cdot 7^{6} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4452$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$116453376$ |
$3.935497$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.18278$ |
$[1, 0, 1, -3386384391, 75849179448522]$ |
\(y^2+xy+y=x^3-3386384391x+75849179448522\) |
3.4.0.a.1, 84.8.0.?, 212.2.0.?, 636.8.0.?, 1113.8.0.?, $\ldots$ |
$[]$ |
275706.x1 |
275706x2 |
275706.x |
275706x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 17^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10812$ |
$16$ |
$0$ |
$6.470423231$ |
$1$ |
|
$0$ |
$21772800$ |
$2.943310$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.23158$ |
$[1, -1, 0, -63992457, 197050056205]$ |
\(y^2+xy=x^3-x^2-63992457x+197050056205\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 10812.16.0.? |
$[(66178/3, 9409781/3)]$ |
306128.u1 |
306128u2 |
306128.u |
306128u |
$2$ |
$3$ |
\( 2^{4} \cdot 19^{2} \cdot 53 \) |
\( - 2^{20} \cdot 19^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12084$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24820992$ |
$3.142765$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.37771$ |
$[0, 1, 0, -142107048, -652083333196]$ |
\(y^2=x^3+x^2-142107048x-652083333196\) |
3.4.0.a.1, 212.2.0.?, 228.8.0.?, 636.8.0.?, 6042.8.0.?, $\ldots$ |
$[]$ |
320650.br1 |
320650br2 |
320650.br |
320650br |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 53 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{6} \cdot 53^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$34980$ |
$16$ |
$0$ |
$0.852908088$ |
$1$ |
|
$14$ |
$29859840$ |
$2.981064$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.20500$ |
$[1, 1, 1, -74424138, 247095219031]$ |
\(y^2+xy+y=x^3+x^2-74424138x+247095219031\) |
3.4.0.a.1, 165.8.0.?, 212.2.0.?, 636.8.0.?, 34980.16.0.? |
$[(4769, 23267), (44935/3, -26341/3)]$ |
344394.bt1 |
344394bt2 |
344394.bt |
344394bt |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 53 \) |
\( - 2^{8} \cdot 3^{6} \cdot 19^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12084$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$31026240$ |
$2.998924$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.19264$ |
$[1, -1, 1, -79935215, -275057688585]$ |
\(y^2+xy+y=x^3-x^2-79935215x-275057688585\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 12084.16.0.? |
$[]$ |
368986.d1 |
368986d2 |
368986.d |
368986d |
$2$ |
$3$ |
\( 2 \cdot 53 \cdot 59^{2} \) |
\( - 2^{8} \cdot 53^{3} \cdot 59^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37524$ |
$16$ |
$0$ |
$13.00884859$ |
$1$ |
|
$2$ |
$29766528$ |
$3.016167$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.18084$ |
$[1, 0, 1, -85643116, 305053946794]$ |
\(y^2+xy+y=x^3-85643116x+305053946794\) |
3.4.0.a.1, 177.8.0.?, 212.2.0.?, 636.8.0.?, 37524.16.0.? |
$[(5777, 52807), (432721/9, -1862369/9)]$ |
373968.dn1 |
373968dn2 |
373968.dn |
373968dn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{20} \cdot 3^{6} \cdot 7^{6} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4452$ |
$16$ |
$0$ |
$2.991301496$ |
$1$ |
|
$2$ |
$29859840$ |
$3.192806$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.34062$ |
$[0, 0, 0, -173598915, 880376886466]$ |
\(y^2=x^3-173598915x+880376886466\) |
3.4.0.a.1, 84.8.0.?, 212.2.0.?, 636.8.0.?, 2226.8.0.?, $\ldots$ |
$[(9807, 347998)]$ |
394426.d1 |
394426d2 |
394426.d |
394426d |
$2$ |
$3$ |
\( 2 \cdot 53 \cdot 61^{2} \) |
\( - 2^{8} \cdot 53^{3} \cdot 61^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$38796$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$32659200$ |
$3.032833$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$5.16956$ |
$[1, 0, 1, -91547841, -337155389196]$ |
\(y^2+xy+y=x^3-91547841x-337155389196\) |
3.4.0.a.1, 183.8.0.?, 212.2.0.?, 636.8.0.?, 38796.16.0.? |
$[]$ |