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 |
40425.a1 |
40425s1 |
40425.a |
40425s |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{13} \cdot 5^{7} \cdot 7^{13} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5031936$ |
$3.123280$ |
$63090423356788736/72214645051395$ |
$1.00252$ |
$5.65799$ |
$[0, -1, 1, 10159742, -12329342082]$ |
\(y^2+y=x^3-x^2+10159742x-12329342082\) |
2310.2.0.? |
$[]$ |
40425.b1 |
40425g1 |
40425.b |
40425g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$3.087133280$ |
$1$ |
|
$2$ |
$193536$ |
$1.434641$ |
$9834496/1485$ |
$0.88039$ |
$3.89597$ |
$[0, -1, 1, -20008, -929832]$ |
\(y^2+y=x^3-x^2-20008x-929832\) |
330.2.0.? |
$[(-78, 387)]$ |
40425.c1 |
40425br1 |
40425.c |
40425br |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{7} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$0.095544531$ |
$1$ |
|
$32$ |
$193536$ |
$1.362398$ |
$5186867200/754677$ |
$0.89635$ |
$3.81652$ |
$[0, -1, 1, -15108, 623468]$ |
\(y^2+y=x^3-x^2-15108x+623468\) |
154.2.0.? |
$[(537, 12127), (42, 247)]$ |
40425.d1 |
40425bb1 |
40425.d |
40425bb |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.529360227$ |
$1$ |
|
$6$ |
$399168$ |
$1.842670$ |
$148455501824/26198073$ |
$0.95024$ |
$4.34791$ |
$[0, -1, 1, -98898, -9947302]$ |
\(y^2+y=x^3-x^2-98898x-9947302\) |
330.2.0.? |
$[(-163, 1347)]$ |
40425.e1 |
40425z2 |
40425.e |
40425z |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{7} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$770$ |
$48$ |
$1$ |
$0.465524160$ |
$1$ |
|
$6$ |
$12672000$ |
$3.581684$ |
$116423188793017446400/91315917$ |
$1.04270$ |
$6.97390$ |
$[0, -1, 1, -1065453958, 13386334297818]$ |
\(y^2+y=x^3-x^2-1065453958x+13386334297818\) |
5.12.0.a.2, 35.24.0-5.a.2.2, 110.24.0.?, 154.2.0.?, 770.48.1.? |
$[(18856, 2425)]$ |
40425.e2 |
40425z1 |
40425.e |
40425z |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{20} \cdot 5^{2} \cdot 7^{11} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$770$ |
$48$ |
$1$ |
$2.327620803$ |
$1$ |
|
$0$ |
$2534400$ |
$2.776962$ |
$1363413585016606720/644626239703677$ |
$1.03562$ |
$5.34079$ |
$[0, -1, 1, -3309868, -990379482]$ |
\(y^2+y=x^3-x^2-3309868x-990379482\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 110.24.0.?, 154.2.0.?, 770.48.1.? |
$[(175489/5, 70888262/5)]$ |
40425.f1 |
40425cm1 |
40425.f |
40425cm |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.166810276$ |
$1$ |
|
$8$ |
$27648$ |
$0.461687$ |
$9834496/1485$ |
$0.88039$ |
$2.79526$ |
$[0, 1, 1, -408, 2594]$ |
\(y^2+y=x^3+x^2-408x+2594\) |
330.2.0.? |
$[(3, 37)]$ |
40425.g1 |
40425dh1 |
40425.g |
40425dh |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.067528631$ |
$1$ |
|
$12$ |
$57024$ |
$0.869716$ |
$148455501824/26198073$ |
$0.95024$ |
$3.24720$ |
$[0, 1, 1, -2018, 28424]$ |
\(y^2+y=x^3+x^2-2018x+28424\) |
330.2.0.? |
$[(-32, 247)]$ |
40425.h1 |
40425bi2 |
40425.h |
40425bi |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$4.408760076$ |
$1$ |
|
$2$ |
$1382400$ |
$2.668644$ |
$4274401176989/2343775203$ |
$0.97915$ |
$5.20817$ |
$[1, 1, 1, -2070888, -263657094]$ |
\(y^2+xy+y=x^3+x^2-2070888x-263657094\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(-379, 21798)]$ |
40425.h2 |
40425bi1 |
40425.h |
40425bi |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{6} \cdot 5^{9} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$2.204380038$ |
$1$ |
|
$5$ |
$691200$ |
$2.322071$ |
$926574216749/6792093$ |
$0.92168$ |
$5.06403$ |
$[1, 1, 1, -1244013, 530142906]$ |
\(y^2+xy+y=x^3+x^2-1244013x+530142906\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[(496, 5705)]$ |
40425.i1 |
40425m4 |
40425.i |
40425m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{18} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5308416$ |
$3.293152$ |
$981281029968144361/522287841796875$ |
$1.01026$ |
$5.91671$ |
$[1, 1, 1, -25360588, 13916648906]$ |
\(y^2+xy+y=x^3+x^2-25360588x+13916648906\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0.h.1, 88.24.0.?, $\ldots$ |
$[]$ |
40425.i2 |
40425m2 |
40425.i |
40425m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{8} \cdot 5^{12} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2654208$ |
$2.946579$ |
$474334834335054841/607815140625$ |
$0.97695$ |
$5.84817$ |
$[1, 1, 1, -19903213, 34130765906]$ |
\(y^2+xy+y=x^3+x^2-19903213x+34130765906\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.3, 140.24.0.?, 1540.48.0.? |
$[]$ |
40425.i3 |
40425m1 |
40425.i |
40425m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{9} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1327104$ |
$2.600002$ |
$473897054735271721/779625$ |
$0.97692$ |
$5.84809$ |
$[1, 1, 1, -19897088, 34152852656]$ |
\(y^2+xy+y=x^3+x^2-19897088x+34152852656\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 280.24.0.?, 770.6.0.?, $\ldots$ |
$[]$ |
40425.i4 |
40425m3 |
40425.i |
40425m |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{16} \cdot 5^{9} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5308416$ |
$3.293152$ |
$-185077034913624841/551466161890875$ |
$0.99497$ |
$5.93068$ |
$[1, 1, 1, -14543838, 52931453406]$ |
\(y^2+xy+y=x^3+x^2-14543838x+52931453406\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$ |
$[]$ |
40425.j1 |
40425l4 |
40425.j |
40425l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5^{9} \cdot 7^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1327104$ |
$2.529270$ |
$1058993490188089/13182390375$ |
$0.94617$ |
$5.27266$ |
$[1, 1, 1, -2601313, 1596321656]$ |
\(y^2+xy+y=x^3+x^2-2601313x+1596321656\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0.h.1, 264.12.0.?, $\ldots$ |
$[]$ |
40425.j2 |
40425l2 |
40425.j |
40425l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{12} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$663552$ |
$2.182697$ |
$1697509118089/833765625$ |
$0.93038$ |
$4.66591$ |
$[1, 1, 1, -304438, -25272094]$ |
\(y^2+xy+y=x^3+x^2-304438x-25272094\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
40425.j3 |
40425l1 |
40425.j |
40425l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{9} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.836123$ |
$932288503609/779625$ |
$0.89741$ |
$4.60941$ |
$[1, 1, 1, -249313, -47983594]$ |
\(y^2+xy+y=x^3+x^2-249313x-47983594\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
40425.j4 |
40425l3 |
40425.j |
40425l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{18} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1327104$ |
$2.529270$ |
$82375335041831/56396484375$ |
$0.95870$ |
$5.03190$ |
$[1, 1, 1, 1110437, -192227344]$ |
\(y^2+xy+y=x^3+x^2+1110437x-192227344\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
40425.k1 |
40425bh1 |
40425.k |
40425bh |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.384186622$ |
$1$ |
|
$2$ |
$145152$ |
$1.556435$ |
$-5916387959190625/288178803$ |
$1.04726$ |
$4.39759$ |
$[1, 1, 1, -117888, -15629244]$ |
\(y^2+xy+y=x^3+x^2-117888x-15629244\) |
6.2.0.a.1 |
$[(750, 17472)]$ |
40425.l1 |
40425e1 |
40425.l |
40425e |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{10} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$8.606584178$ |
$1$ |
|
$0$ |
$92880$ |
$1.359804$ |
$-1225/3993$ |
$1.00823$ |
$3.73569$ |
$[1, 1, 1, -638, -465844]$ |
\(y^2+xy+y=x^3+x^2-638x-465844\) |
132.2.0.? |
$[(5014/3, 347060/3)]$ |
40425.m1 |
40425p2 |
40425.m |
40425p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{16} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.829479$ |
$14553591673375/5208653241$ |
$1.01238$ |
$5.41883$ |
$[1, 1, 1, -4361638, -2167539844]$ |
\(y^2+xy+y=x^3+x^2-4361638x-2167539844\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[]$ |
40425.m2 |
40425p1 |
40425.m |
40425p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{9} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.482906$ |
$98931640625/96059601$ |
$1.13077$ |
$4.94829$ |
$[1, 1, 1, 826237, -237650344]$ |
\(y^2+xy+y=x^3+x^2+826237x-237650344\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[]$ |
40425.n1 |
40425n1 |
40425.n |
40425n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$1.894119$ |
$2336752783/12375$ |
$0.87180$ |
$4.59516$ |
$[1, 1, 1, -237063, 44124156]$ |
\(y^2+xy+y=x^3+x^2-237063x+44124156\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 770.6.0.?, 4620.12.0.? |
$[]$ |
40425.n2 |
40425n2 |
40425.n |
40425n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{12} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.240692$ |
$-223648543/5671875$ |
$0.93252$ |
$4.73246$ |
$[1, 1, 1, -108438, 91972656]$ |
\(y^2+xy+y=x^3+x^2-108438x+91972656\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[]$ |
40425.o1 |
40425o1 |
40425.o |
40425o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{6} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.483494$ |
$-765625/33$ |
$0.93577$ |
$4.02896$ |
$[1, 1, 1, -31263, 2192406]$ |
\(y^2+xy+y=x^3+x^2-31263x+2192406\) |
132.2.0.? |
$[]$ |
40425.p1 |
40425y4 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.612691916$ |
$1$ |
|
$4$ |
$221184$ |
$1.765041$ |
$347873904937/395307$ |
$1.00913$ |
$4.51648$ |
$[1, 1, 1, -179488, -29314594]$ |
\(y^2+xy+y=x^3+x^2-179488x-29314594\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 140.12.0.?, $\ldots$ |
$[(-239, 70)]$ |
40425.p2 |
40425y2 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1.306345958$ |
$1$ |
|
$12$ |
$110592$ |
$1.418468$ |
$169112377/88209$ |
$1.00669$ |
$3.79725$ |
$[1, 1, 1, -14113, -208594]$ |
\(y^2+xy+y=x^3+x^2-14113x-208594\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 140.12.0.?, $\ldots$ |
$[(-64, 693)]$ |
40425.p3 |
40425y1 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.612691916$ |
$1$ |
|
$5$ |
$55296$ |
$1.071896$ |
$30664297/297$ |
$1.09706$ |
$3.63627$ |
$[1, 1, 1, -7988, 269156]$ |
\(y^2+xy+y=x^3+x^2-7988x+269156\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(80, 347)]$ |
40425.p4 |
40425y3 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.612691916$ |
$1$ |
|
$4$ |
$221184$ |
$1.765041$ |
$9090072503/5845851$ |
$1.03763$ |
$4.17288$ |
$[1, 1, 1, 53262, -1556094]$ |
\(y^2+xy+y=x^3+x^2+53262x-1556094\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(211, 4268)]$ |
40425.q1 |
40425bo2 |
40425.q |
40425bo |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.329803$ |
$341385539669/160083$ |
$0.91353$ |
$4.05951$ |
$[1, 1, 1, -35673, -2607144]$ |
\(y^2+xy+y=x^3+x^2-35673x-2607144\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[]$ |
40425.q2 |
40425bo1 |
40425.q |
40425bo |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.983230$ |
$131872229/56133$ |
$0.85546$ |
$3.31860$ |
$[1, 1, 1, -2598, -27294]$ |
\(y^2+xy+y=x^3+x^2-2598x-27294\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[]$ |
40425.r1 |
40425ba1 |
40425.r |
40425ba |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$25.79590391$ |
$1$ |
|
$0$ |
$277200$ |
$1.801580$ |
$-78683185/2673$ |
$0.83894$ |
$4.40086$ |
$[1, 1, 1, -117013, -15900844]$ |
\(y^2+xy+y=x^3+x^2-117013x-15900844\) |
132.2.0.? |
$[(114917414944/14979, 24920612182592057/14979)]$ |
40425.s1 |
40425bp1 |
40425.s |
40425bp |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{9} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35840$ |
$0.796625$ |
$571787/99$ |
$0.78736$ |
$3.16570$ |
$[1, 1, 1, -1513, -19594]$ |
\(y^2+xy+y=x^3+x^2-1513x-19594\) |
2.3.0.a.1, 44.6.0.d.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[]$ |
40425.s2 |
40425bp2 |
40425.s |
40425bp |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{4} \cdot 5^{9} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71680$ |
$1.143198$ |
$3869893/9801$ |
$0.86619$ |
$3.46069$ |
$[1, 1, 1, 2862, -107094]$ |
\(y^2+xy+y=x^3+x^2+2862x-107094\) |
2.3.0.a.1, 44.6.0.d.1, 70.6.0.a.1, 1540.12.0.? |
$[]$ |
40425.t1 |
40425bt1 |
40425.t |
40425bt |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{6} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.510539$ |
$-765625/33$ |
$0.93577$ |
$2.92825$ |
$[1, 0, 0, -638, -6483]$ |
\(y^2+xy=x^3-638x-6483\) |
132.2.0.? |
$[]$ |
40425.u1 |
40425ci1 |
40425.u |
40425ci |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{9} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1.555629865$ |
$1$ |
|
$3$ |
$46080$ |
$0.921165$ |
$2336752783/12375$ |
$0.87180$ |
$3.49445$ |
$[1, 0, 0, -4838, -129333]$ |
\(y^2+xy=x^3-4838x-129333\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 770.6.0.?, 4620.12.0.? |
$[(97, 514)]$ |
40425.u2 |
40425ci2 |
40425.u |
40425ci |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{12} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$3.111259731$ |
$1$ |
|
$2$ |
$92160$ |
$1.267738$ |
$-223648543/5671875$ |
$0.93252$ |
$3.63175$ |
$[1, 0, 0, -2213, -268458]$ |
\(y^2+xy=x^3-2213x-268458\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(942, 28404)]$ |
40425.v1 |
40425cj2 |
40425.v |
40425cj |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$0.417264881$ |
$1$ |
|
$10$ |
$368640$ |
$1.856525$ |
$14553591673375/5208653241$ |
$1.01238$ |
$4.31812$ |
$[1, 0, 0, -89013, 6306642]$ |
\(y^2+xy=x^3-89013x+6306642\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[(501, 9105)]$ |
40425.v2 |
40425cj1 |
40425.v |
40425cj |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$0.834529763$ |
$1$ |
|
$7$ |
$184320$ |
$1.509951$ |
$98931640625/96059601$ |
$1.13077$ |
$3.84758$ |
$[1, 0, 0, 16862, 695267]$ |
\(y^2+xy=x^3+16862x+695267\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[(83, 1592)]$ |
40425.w1 |
40425ch1 |
40425.w |
40425ch |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{10} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$25.62426669$ |
$1$ |
|
$0$ |
$650160$ |
$2.332760$ |
$-1225/3993$ |
$1.00823$ |
$4.83640$ |
$[1, 0, 0, -31263, 159690642]$ |
\(y^2+xy=x^3-31263x+159690642\) |
132.2.0.? |
$[(133376167651/1779, 48591042388844695/1779)]$ |
40425.x1 |
40425cv1 |
40425.x |
40425cv |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.324160164$ |
$1$ |
|
$6$ |
$1016064$ |
$2.529388$ |
$-5916387959190625/288178803$ |
$1.04726$ |
$5.49830$ |
$[1, 0, 0, -5776513, 5343501092]$ |
\(y^2+xy=x^3-5776513x+5343501092\) |
6.2.0.a.1 |
$[(1523, 8132)]$ |
40425.y1 |
40425ck4 |
40425.y |
40425ck |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$10.09519998$ |
$1$ |
|
$0$ |
$8847360$ |
$3.520962$ |
$21026497979043461623321/161783881875$ |
$1.01625$ |
$6.85686$ |
$[1, 0, 0, -704396463, -7195772152458]$ |
\(y^2+xy=x^3-704396463x-7195772152458\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0.h.1, 88.24.0.?, $\ldots$ |
$[(1135437/4, 1106606001/4)]$ |
40425.y2 |
40425ck2 |
40425.y |
40425ck |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$5.047599994$ |
$1$ |
|
$4$ |
$4423680$ |
$3.174389$ |
$5143681768032498601/14238434358225$ |
$0.98713$ |
$6.07289$ |
$[1, 0, 0, -44054088, -112279495833]$ |
\(y^2+xy=x^3-44054088x-112279495833\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.3, 140.24.0.?, 1540.48.0.? |
$[(9822, 629589)]$ |
40425.y3 |
40425ck3 |
40425.y |
40425ck |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{4} \cdot 5^{7} \cdot 7^{7} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$10.09519998$ |
$1$ |
|
$0$ |
$8847360$ |
$3.520962$ |
$-1143792273008057401/8897444448004035$ |
$1.01190$ |
$6.18288$ |
$[1, 0, 0, -26689713, -201688662708]$ |
\(y^2+xy=x^3-26689713x-201688662708\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$ |
$[(38259/2, 5134467/2)]$ |
40425.y4 |
40425ck1 |
40425.y |
40425ck |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{16} \cdot 5^{7} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$2.523799997$ |
$1$ |
|
$9$ |
$2211840$ |
$2.827816$ |
$3481467828171481/2005331497785$ |
$1.02588$ |
$5.38486$ |
$[1, 0, 0, -3867963, -200393208]$ |
\(y^2+xy=x^3-3867963x-200393208\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 280.24.0.?, 770.6.0.?, $\ldots$ |
$[(-108, 14754)]$ |
40425.z1 |
40425df1 |
40425.z |
40425df |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$5.169624930$ |
$1$ |
|
$3$ |
$250880$ |
$1.769579$ |
$571787/99$ |
$0.78736$ |
$4.26641$ |
$[1, 0, 0, -74138, 6498267]$ |
\(y^2+xy=x^3-74138x+6498267\) |
2.3.0.a.1, 44.6.0.d.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[(271, 2380)]$ |
40425.z2 |
40425df2 |
40425.z |
40425df |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{4} \cdot 5^{9} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$2.584812465$ |
$1$ |
|
$4$ |
$501760$ |
$2.116154$ |
$3869893/9801$ |
$0.86619$ |
$4.56140$ |
$[1, 0, 0, 140237, 37153892]$ |
\(y^2+xy=x^3+140237x+37153892\) |
2.3.0.a.1, 44.6.0.d.1, 70.6.0.a.1, 1540.12.0.? |
$[(53, 6662)]$ |
40425.ba1 |
40425de1 |
40425.ba |
40425de |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.228299591$ |
$1$ |
|
$6$ |
$39600$ |
$0.828627$ |
$-78683185/2673$ |
$0.83894$ |
$3.30014$ |
$[1, 0, 0, -2388, 46017]$ |
\(y^2+xy=x^3-2388x+46017\) |
132.2.0.? |
$[(27, 24)]$ |
40425.bb1 |
40425cp4 |
40425.bb |
40425cp |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{7} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.141266$ |
$957681397954009/31185$ |
$0.94531$ |
$5.26318$ |
$[1, 0, 0, -2515563, 1535470992]$ |
\(y^2+xy=x^3-2515563x+1535470992\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
40425.bb2 |
40425cp3 |
40425.bb |
40425cp |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5^{7} \cdot 7^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.141266$ |
$932288503609/527295615$ |
$0.95635$ |
$4.60941$ |
$[1, 0, 0, -249313, -7232758]$ |
\(y^2+xy=x^3-249313x-7232758\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 60.12.0.h.1, 264.12.0.?, $\ldots$ |
$[]$ |