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 |
47610.a1 |
47610t2 |
47610.a |
47610t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 5^{4} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$2.202818159$ |
$1$ |
|
$6$ |
$245760$ |
$1.581112$ |
$234542659463/131220000$ |
$1.04372$ |
$3.91606$ |
$[1, -1, 0, -26595, -297675]$ |
\(y^2+xy=x^3-x^2-26595x-297675\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[(171, 279)]$ |
47610.a2 |
47610t1 |
47610.a |
47610t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1.101409079$ |
$1$ |
|
$9$ |
$122880$ |
$1.234539$ |
$3463512697/2073600$ |
$1.01892$ |
$3.52469$ |
$[1, -1, 0, 6525, -39339]$ |
\(y^2+xy=x^3-x^2+6525x-39339\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[(75, 894)]$ |
47610.b1 |
47610r1 |
47610.b |
47610r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{2} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$6.821357432$ |
$1$ |
|
$0$ |
$1978368$ |
$2.605247$ |
$-529/9600$ |
$1.11957$ |
$5.06656$ |
$[1, -1, 0, -52470, 819238900]$ |
\(y^2+xy=x^3-x^2-52470x+819238900\) |
24.2.0.b.1 |
$[(1715/2, 234985/2)]$ |
47610.c1 |
47610s1 |
47610.c |
47610s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{15} \cdot 3^{19} \cdot 5^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$9.990212658$ |
$1$ |
|
$0$ |
$4792320$ |
$2.965107$ |
$-443321577260160665089/20407334400000000$ |
$1.05471$ |
$5.61519$ |
$[1, -1, 0, -11562705, -15720912675]$ |
\(y^2+xy=x^3-x^2-11562705x-15720912675\) |
24.2.0.b.1 |
$[(57624105/16, 436915770285/16)]$ |
47610.d1 |
47610f4 |
47610.d |
47610f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.190239281$ |
$1$ |
|
$12$ |
$608256$ |
$1.945265$ |
$8527173507/200$ |
$1.05154$ |
$4.78767$ |
$[1, -1, 0, -607920, 182587400]$ |
\(y^2+xy=x^3-x^2-607920x+182587400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[(443, 43), (415, 1075)]$ |
47610.d2 |
47610f3 |
47610.d |
47610f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5 \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.190239281$ |
$1$ |
|
$13$ |
$304128$ |
$1.598692$ |
$-1860867/320$ |
$0.97305$ |
$4.02915$ |
$[1, -1, 0, -36600, 3078656]$ |
\(y^2+xy=x^3-x^2-36600x+3078656\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[(-40, 2136), (-8, 1840)]$ |
47610.d3 |
47610f2 |
47610.d |
47610f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{6} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.190239281$ |
$1$ |
|
$12$ |
$202752$ |
$1.395960$ |
$57960603/31250$ |
$1.11205$ |
$3.71227$ |
$[1, -1, 0, -12795, -142425]$ |
\(y^2+xy=x^3-x^2-12795x-142425\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$ |
$[(-17, 273), (121, 204)]$ |
47610.d4 |
47610f1 |
47610.d |
47610f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.190239281$ |
$1$ |
|
$15$ |
$101376$ |
$1.049385$ |
$804357/500$ |
$1.08207$ |
$3.31513$ |
$[1, -1, 0, 3075, -18639]$ |
\(y^2+xy=x^3-x^2+3075x-18639\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$ |
$[(75, 756), (12, 135)]$ |
47610.e1 |
47610e2 |
47610.e |
47610e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{14} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$19869696$ |
$3.692696$ |
$5138442430700033888523/413281250000000$ |
$1.07961$ |
$6.69401$ |
$[1, -1, 0, -570531360, 5245042649216]$ |
\(y^2+xy=x^3-x^2-570531360x+5245042649216\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
47610.e2 |
47610e1 |
47610.e |
47610e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9934848$ |
$3.346123$ |
$-1015884369980369163/358196480000000$ |
$1.06210$ |
$5.94635$ |
$[1, -1, 0, -33236640, 93568332800]$ |
\(y^2+xy=x^3-x^2-33236640x+93568332800\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
47610.f1 |
47610a2 |
47610.f |
47610a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2119680$ |
$2.773746$ |
$71421719949/39062500$ |
$1.05838$ |
$5.24633$ |
$[1, -1, 0, -3155055, 506242825]$ |
\(y^2+xy=x^3-x^2-3155055x+506242825\) |
2.3.0.a.1, 20.6.0.d.1, 138.6.0.?, 1380.12.0.? |
$[]$ |
47610.f2 |
47610a1 |
47610.f |
47610a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1059840$ |
$2.427174$ |
$32431240269/50000$ |
$0.98194$ |
$5.17303$ |
$[1, -1, 0, -2425035, 1452202741]$ |
\(y^2+xy=x^3-x^2-2425035x+1452202741\) |
2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.? |
$[]$ |
47610.g1 |
47610n2 |
47610.g |
47610n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.874005074$ |
$1$ |
|
$4$ |
$1198080$ |
$2.446911$ |
$9225153360356018903/149299200$ |
$1.05583$ |
$5.53967$ |
$[1, -1, 0, -9044550, 10471824436]$ |
\(y^2+xy=x^3-x^2-9044550x+10471824436\) |
2.3.0.a.1, 120.6.0.?, 184.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(1731, -463)]$ |
47610.g2 |
47610n1 |
47610.g |
47610n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{26} \cdot 3^{9} \cdot 5 \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$5.748010148$ |
$1$ |
|
$3$ |
$599040$ |
$2.100338$ |
$2258764829526743/9059696640$ |
$1.02692$ |
$4.76768$ |
$[1, -1, 0, -565830, 163396660]$ |
\(y^2+xy=x^3-x^2-565830x+163396660\) |
2.3.0.a.1, 120.6.0.?, 184.6.0.?, 690.6.0.?, 2760.12.0.? |
$[(357, 2429)]$ |
47610.h1 |
47610l4 |
47610.h |
47610l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{10} \cdot 5^{2} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$552$ |
$48$ |
$0$ |
$66.61810176$ |
$1$ |
|
$0$ |
$30277632$ |
$4.016685$ |
$292169767125103365085489/72534787200$ |
$1.04787$ |
$7.37515$ |
$[1, -1, 0, -6581658870, -205516970674700]$ |
\(y^2+xy=x^3-x^2-6581658870x-205516970674700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 184.24.0.?, $\ldots$ |
$[(171903194973172722210365878811/1343491495190, 13495572596023892152064350874923990213083739/1343491495190)]$ |
47610.h2 |
47610l3 |
47610.h |
47610l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{22} \cdot 5^{8} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$16.65452544$ |
$1$ |
|
$0$ |
$30277632$ |
$4.016685$ |
$114387056741228939569/49503729150000000$ |
$1.04172$ |
$6.64675$ |
$[1, -1, 0, -481484790, -2041927346444]$ |
\(y^2+xy=x^3-x^2-481484790x-2041927346444\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.3, $\ldots$ |
$[(-245136081/202, 6586718777171/202)]$ |
47610.h3 |
47610l2 |
47610.h |
47610l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$552$ |
$48$ |
$0$ |
$33.30905088$ |
$1$ |
|
$2$ |
$15138816$ |
$3.670109$ |
$71356102305927901489/35540674560000$ |
$1.02426$ |
$6.60293$ |
$[1, -1, 0, -411402870, -3210319100300]$ |
\(y^2+xy=x^3-x^2-411402870x-3210319100300\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 92.12.0.?, $\ldots$ |
$[(32202789802025795/787826, 5233569632720590116638665/787826)]$ |
47610.h4 |
47610l1 |
47610.h |
47610l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$16.65452544$ |
$1$ |
|
$1$ |
$7569408$ |
$3.323536$ |
$-10017490085065009/12502381363200$ |
$1.00472$ |
$5.88603$ |
$[1, -1, 0, -21381750, -67606919564]$ |
\(y^2+xy=x^3-x^2-21381750x-67606919564\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.1, $\ldots$ |
$[(7468556723/386, 641066312025121/386)]$ |
47610.i1 |
47610m2 |
47610.i |
47610m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{10} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$9.415448021$ |
$1$ |
|
$0$ |
$2027520$ |
$2.781155$ |
$53706380371489/16171875000$ |
$1.03421$ |
$5.29387$ |
$[1, -1, 0, -3742245, -1928890179]$ |
\(y^2+xy=x^3-x^2-3742245x-1928890179\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(47157/4, 7100295/4)]$ |
47610.i2 |
47610m1 |
47610.i |
47610m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{5} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$4.707724010$ |
$1$ |
|
$3$ |
$1013760$ |
$2.434582$ |
$265971760991/317400000$ |
$1.01836$ |
$4.80666$ |
$[1, -1, 0, 637875, -202246875]$ |
\(y^2+xy=x^3-x^2+637875x-202246875\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(666, 22419)]$ |
47610.j1 |
47610o2 |
47610.j |
47610o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$12.86963106$ |
$1$ |
|
$0$ |
$2826240$ |
$2.704399$ |
$96260823287/11250$ |
$0.97106$ |
$5.58004$ |
$[1, -1, 0, -10455255, -13008252425]$ |
\(y^2+xy=x^3-x^2-10455255x-13008252425\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[(939161/11, 808145485/11)]$ |
47610.j2 |
47610o1 |
47610.j |
47610o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$6.434815532$ |
$1$ |
|
$3$ |
$1413120$ |
$2.357826$ |
$-18191447/8100$ |
$1.04016$ |
$4.83699$ |
$[1, -1, 0, -599985, -237793559]$ |
\(y^2+xy=x^3-x^2-599985x-237793559\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[(7460, 636899)]$ |
47610.k1 |
47610b2 |
47610.k |
47610b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$1.226477422$ |
$1$ |
|
$12$ |
$69120$ |
$0.888414$ |
$-6886621107/200$ |
$0.94315$ |
$3.60339$ |
$[1, -1, 0, -8655, 312101]$ |
\(y^2+xy=x^3-x^2-8655x+312101\) |
3.4.0.a.1, 24.8.0.d.1, 69.8.0-3.a.1.1, 552.16.0.? |
$[(55, -14), (53, -14)]$ |
47610.k2 |
47610b1 |
47610.k |
47610b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$1.226477422$ |
$1$ |
|
$8$ |
$23040$ |
$0.339108$ |
$-213003/31250$ |
$0.99128$ |
$2.54162$ |
$[1, -1, 0, -30, 1026]$ |
\(y^2+xy=x^3-x^2-30x+1026\) |
3.4.0.a.1, 24.8.0.d.1, 69.8.0-3.a.1.2, 552.16.0.? |
$[(33, 171), (7/2, 243/2)]$ |
47610.l1 |
47610p2 |
47610.l |
47610p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{12} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$2.331934859$ |
$1$ |
|
$2$ |
$331776$ |
$1.636341$ |
$-3247061909089/5859375000$ |
$1.00058$ |
$4.00034$ |
$[1, -1, 0, -22455, -2622699]$ |
\(y^2+xy=x^3-x^2-22455x-2622699\) |
3.4.0.a.1, 24.8.0.d.1, 69.8.0-3.a.1.2, 552.16.0.? |
$[(4983, 349071)]$ |
47610.l2 |
47610p1 |
47610.l |
47610p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$0.777311619$ |
$1$ |
|
$4$ |
$110592$ |
$1.087034$ |
$3889584671/8640000$ |
$0.95954$ |
$3.34121$ |
$[1, -1, 0, 2385, 74925]$ |
\(y^2+xy=x^3-x^2+2385x+74925\) |
3.4.0.a.1, 24.8.0.d.1, 69.8.0-3.a.1.1, 552.16.0.? |
$[(15, 330)]$ |
47610.m1 |
47610c1 |
47610.m |
47610c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$11658240$ |
$3.597607$ |
$-70681322281271643/1280000$ |
$1.19790$ |
$6.81915$ |
$[1, -1, 0, -894144465, -10290825776419]$ |
\(y^2+xy=x^3-x^2-894144465x-10290825776419\) |
24.2.0.b.1 |
$[]$ |
47610.n1 |
47610q2 |
47610.n |
47610q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1.566116732$ |
$1$ |
|
$6$ |
$811008$ |
$2.202587$ |
$172715635009/7935000$ |
$0.92220$ |
$4.76098$ |
$[1, -1, 0, -552375, 151751461]$ |
\(y^2+xy=x^3-x^2-552375x+151751461\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(213, 6506)]$ |
47610.n2 |
47610q1 |
47610.n |
47610q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.783058366$ |
$1$ |
|
$9$ |
$405504$ |
$1.856012$ |
$6967871/331200$ |
$0.92224$ |
$4.22973$ |
$[1, -1, 0, 18945, 9035725]$ |
\(y^2+xy=x^3-x^2+18945x+9035725\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(-109, 2435)]$ |
47610.o1 |
47610d2 |
47610.o |
47610d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{2} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2838528$ |
$2.882885$ |
$27333463470867/895491200$ |
$0.97181$ |
$5.53716$ |
$[1, -1, 0, -8963475, -10030228939]$ |
\(y^2+xy=x^3-x^2-8963475x-10030228939\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
47610.o2 |
47610d1 |
47610.o |
47610d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1419264$ |
$2.536308$ |
$212776173/43335680$ |
$1.00656$ |
$4.98912$ |
$[1, -1, 0, 177645, -539918155]$ |
\(y^2+xy=x^3-x^2+177645x-539918155\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
47610.p1 |
47610g2 |
47610.p |
47610g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$1.425175$ |
$246491883/26450$ |
$0.97168$ |
$3.84666$ |
$[1, -1, 0, -20730, -1031674]$ |
\(y^2+xy=x^3-x^2-20730x-1031674\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
47610.p2 |
47610g1 |
47610.p |
47610g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.078600$ |
$3176523/460$ |
$1.07306$ |
$3.44265$ |
$[1, -1, 0, -4860, 114140]$ |
\(y^2+xy=x^3-x^2-4860x+114140\) |
2.3.0.a.1, 24.6.0.d.1, 690.6.0.?, 920.6.0.?, 2760.12.0.? |
$[]$ |
47610.q1 |
47610u1 |
47610.q |
47610u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{19} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$8.711927170$ |
$1$ |
|
$0$ |
$2396160$ |
$2.461040$ |
$63102533673332111/124556484375000$ |
$1.10183$ |
$4.86744$ |
$[1, -1, 0, 603720, 280190200]$ |
\(y^2+xy=x^3-x^2+603720x+280190200\) |
24.2.0.b.1 |
$[(935195/13, 907857170/13)]$ |
47610.r1 |
47610bd1 |
47610.r |
47610bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{19} \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55111680$ |
$4.028786$ |
$63102533673332111/124556484375000$ |
$1.10183$ |
$6.61410$ |
$[1, -1, 0, 319367781, -3410990370275]$ |
\(y^2+xy=x^3-x^2+319367781x-3410990370275\) |
24.2.0.b.1 |
$[]$ |
47610.s1 |
47610z2 |
47610.s |
47610z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{12} \cdot 23^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7630848$ |
$3.204090$ |
$-3247061909089/5859375000$ |
$1.00058$ |
$5.74700$ |
$[1, -1, 0, -11878794, 31981651308]$ |
\(y^2+xy=x^3-x^2-11878794x+31981651308\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[]$ |
47610.s2 |
47610z1 |
47610.s |
47610z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2543616$ |
$2.654781$ |
$3889584671/8640000$ |
$0.95954$ |
$5.08787$ |
$[1, -1, 0, 1261566, -919182060]$ |
\(y^2+xy=x^3-x^2+1261566x-919182060\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[]$ |
47610.t1 |
47610i2 |
47610.t |
47610i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$24.43860871$ |
$1$ |
|
$0$ |
$1589760$ |
$2.456161$ |
$-6886621107/200$ |
$0.94315$ |
$5.35005$ |
$[1, -1, 0, -4578594, -3769861492]$ |
\(y^2+xy=x^3-x^2-4578594x-3769861492\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[(142677045721/7568, 6694040002159157/7568)]$ |
47610.t2 |
47610i1 |
47610.t |
47610i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 23^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$8.146202905$ |
$1$ |
|
$2$ |
$529920$ |
$1.906855$ |
$-213003/31250$ |
$0.99128$ |
$4.28828$ |
$[1, -1, 0, -15969, -12387717]$ |
\(y^2+xy=x^3-x^2-15969x-12387717\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[(30837/11, 116559/11)]$ |
47610.u1 |
47610j1 |
47610.u |
47610j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.239669975$ |
$1$ |
|
$4$ |
$506880$ |
$2.029858$ |
$-70681322281271643/1280000$ |
$1.19790$ |
$5.07249$ |
$[1, -1, 0, -1690254, 846239060]$ |
\(y^2+xy=x^3-x^2-1690254x+846239060\) |
24.2.0.b.1 |
$[(751, -368)]$ |
47610.v1 |
47610y2 |
47610.v |
47610y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$0.864585839$ |
$1$ |
|
$16$ |
$122880$ |
$1.136652$ |
$96260823287/11250$ |
$0.97106$ |
$3.83337$ |
$[1, -1, 0, -19764, 1074298]$ |
\(y^2+xy=x^3-x^2-19764x+1074298\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[(77, 29), (83, -64)]$ |
47610.v2 |
47610y1 |
47610.v |
47610y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$0.864585839$ |
$1$ |
|
$21$ |
$61440$ |
$0.790079$ |
$-18191447/8100$ |
$1.04016$ |
$3.09033$ |
$[1, -1, 0, -1134, 19840]$ |
\(y^2+xy=x^3-x^2-1134x+19840\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[(6, 112), (14, 74)]$ |
47610.w1 |
47610v2 |
47610.w |
47610v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{8} \cdot 5^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2027520$ |
$2.636963$ |
$6687281588245201/165600$ |
$0.98744$ |
$5.74179$ |
$[1, -1, 0, -18687024, -31088020320]$ |
\(y^2+xy=x^3-x^2-18687024x-31088020320\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
47610.w2 |
47610v1 |
47610.w |
47610v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1013760$ |
$2.290386$ |
$-1626794704081/8125440$ |
$0.93841$ |
$4.97000$ |
$[1, -1, 0, -1166544, -486749952]$ |
\(y^2+xy=x^3-x^2-1166544x-486749952\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
47610.x1 |
47610w4 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.169 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6488064$ |
$3.270069$ |
$148809678420065817601/20700$ |
$1.02663$ |
$6.67117$ |
$[1, -1, 0, -525614499, 4638327636393]$ |
\(y^2+xy=x^3-x^2-525614499x+4638327636393\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 16.48.0-16.e.1.4, $\ldots$ |
$[]$ |
47610.x2 |
47610w6 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 23^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.129 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12976128$ |
$3.616646$ |
$1905890658841300321/293666194803750$ |
$1.01528$ |
$6.26658$ |
$[1, -1, 0, -122976729, -449598702465]$ |
\(y^2+xy=x^3-x^2-122976729x-449598702465\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.3, 24.48.0.bl.2, $\ldots$ |
$[]$ |
47610.x3 |
47610w3 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.126 |
2Cs |
$552$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$6488064$ |
$3.270069$ |
$39248884582600321/3935264062500$ |
$0.99808$ |
$5.90609$ |
$[1, -1, 0, -33707979, 68499268785]$ |
\(y^2+xy=x^3-x^2-33707979x+68499268785\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.5, 24.96.0-24.m.2.12, 184.96.0.?, $\ldots$ |
$[]$ |
47610.x4 |
47610w2 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.83 |
2Cs |
$552$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3244032$ |
$2.923496$ |
$36330796409313601/428490000$ |
$0.99526$ |
$5.89892$ |
$[1, -1, 0, -32850999, 72479598093]$ |
\(y^2+xy=x^3-x^2-32850999x+72479598093\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.10, 12.24.0-4.b.1.2, 24.96.0-24.r.2.11, $\ldots$ |
$[]$ |
47610.x5 |
47610w1 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.105 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1622016$ |
$2.576923$ |
$-8194759433281/965779200$ |
$0.95262$ |
$5.13653$ |
$[1, -1, 0, -1999719, 1194630525]$ |
\(y^2+xy=x^3-x^2-1999719x+1194630525\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.5, $\ldots$ |
$[]$ |
47610.x6 |
47610w5 |
47610.x |
47610w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{16} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.167 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12976128$ |
$3.616646$ |
$75108181893694559/484313964843750$ |
$1.20385$ |
$6.18144$ |
$[1, -1, 0, 41849091, 331845880563]$ |
\(y^2+xy=x^3-x^2+41849091x+331845880563\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.e.2.13, 24.48.0-24.bn.1.12, $\ldots$ |
$[]$ |