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 |
45675.a1 |
45675s2 |
45675.a |
45675s |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$0.518854062$ |
$1$ |
|
$4$ |
$576000$ |
$1.939610$ |
$-1099616058781696/143578043$ |
$1.03288$ |
$4.74236$ |
$[0, 0, 1, -483825, 129547656]$ |
\(y^2+y=x^3-483825x+129547656\) |
5.12.0.a.2, 15.24.0-5.a.2.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.? |
$[(675, 10512)]$ |
45675.a2 |
45675s1 |
45675.a |
45675s |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$2.594270311$ |
$1$ |
|
$2$ |
$115200$ |
$1.134890$ |
$841232384/487403$ |
$1.28149$ |
$3.42974$ |
$[0, 0, 1, 4425, 3906]$ |
\(y^2+y=x^3+4425x+3906\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.? |
$[(0, 62)]$ |
45675.b1 |
45675bh2 |
45675.b |
45675bh |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{16} \cdot 5^{8} \cdot 7^{5} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$13.04649601$ |
$1$ |
|
$8$ |
$1344000$ |
$2.324566$ |
$-27933450833920/28780659747$ |
$0.93882$ |
$4.79534$ |
$[0, 0, 1, -415875, -172126094]$ |
\(y^2+y=x^3-415875x-172126094\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.? |
$[(796, 1093), (2254, 101695)]$ |
45675.b2 |
45675bh1 |
45675.b |
45675bh |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{4} \cdot 7 \cdot 29^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$0.521859840$ |
$1$ |
|
$16$ |
$268800$ |
$1.519848$ |
$-352558182400/1292202387$ |
$0.94138$ |
$3.87820$ |
$[0, 0, 1, -11325, 1256206]$ |
\(y^2+y=x^3-11325x+1256206\) |
5.12.0.a.2, 15.24.0-5.a.2.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.? |
$[(511, 11353), (-11, 1174)]$ |
45675.c1 |
45675bk1 |
45675.c |
45675bk |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{4} \cdot 7^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.157023376$ |
$1$ |
|
$30$ |
$80640$ |
$0.717618$ |
$12800000/89523$ |
$0.91747$ |
$2.96385$ |
$[0, 0, 1, 375, 9306]$ |
\(y^2+y=x^3+375x+9306\) |
406.2.0.? |
$[(20, 157), (-1, 94)]$ |
45675.d1 |
45675bj1 |
45675.d |
45675bj |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{16} \cdot 5^{8} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$326400$ |
$1.717489$ |
$-106039644160/11986947$ |
$0.87121$ |
$4.19717$ |
$[0, 0, 1, -64875, -6953594]$ |
\(y^2+y=x^3-64875x-6953594\) |
406.2.0.? |
$[]$ |
45675.e1 |
45675k4 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1572864$ |
$2.644688$ |
$947531277805646290177/38367$ |
$1.01996$ |
$6.01611$ |
$[1, -1, 1, -46040405, -120230661778]$ |
\(y^2+xy+y=x^3-x^2-46040405x-120230661778\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
45675.e2 |
45675k6 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{30} \cdot 5^{6} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3145728$ |
$2.991261$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.57646$ |
$[1, -1, 1, -9555530, 9244638722]$ |
\(y^2+xy+y=x^3-x^2-9555530x+9244638722\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[]$ |
45675.e3 |
45675k3 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{18} \cdot 5^{6} \cdot 7^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$24360$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1572864$ |
$2.644688$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$5.24618$ |
$[1, -1, 1, -2932655, -1802316778]$ |
\(y^2+xy+y=x^3-x^2-2932655x-1802316778\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 40.24.0-4.b.1.2, $\ldots$ |
$[]$ |
45675.e4 |
45675k2 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$24360$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$786432$ |
$2.298115$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$5.24087$ |
$[1, -1, 1, -2877530, -1878058528]$ |
\(y^2+xy+y=x^3-x^2-2877530x-1878058528\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0-4.b.1.3, 56.24.0.m.1, $\ldots$ |
$[]$ |
45675.e5 |
45675k1 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.951540$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.47296$ |
$[1, -1, 1, -176405, -30489028]$ |
\(y^2+xy+y=x^3-x^2-176405x-30489028\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 40.24.0-8.n.1.8, $\ldots$ |
$[]$ |
45675.e6 |
45675k5 |
45675.e |
45675k |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{12} \cdot 5^{6} \cdot 7 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3145728$ |
$2.991261$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.51098$ |
$[1, -1, 1, 2808220, -8002461778]$ |
\(y^2+xy+y=x^3-x^2+2808220x-8002461778\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[]$ |
45675.f1 |
45675i1 |
45675.f |
45675i |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{7} \cdot 5^{8} \cdot 7 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$4.200968796$ |
$1$ |
|
$11$ |
$49152$ |
$0.892069$ |
$148035889/15225$ |
$0.88914$ |
$3.26780$ |
$[1, -1, 1, -2480, -42478]$ |
\(y^2+xy+y=x^3-x^2-2480x-42478\) |
2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.? |
$[(-26, 75), (79, 460)]$ |
45675.f2 |
45675i2 |
45675.f |
45675i |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$1.050242199$ |
$1$ |
|
$22$ |
$98304$ |
$1.238644$ |
$302111711/1854405$ |
$0.83805$ |
$3.54516$ |
$[1, -1, 1, 3145, -211228]$ |
\(y^2+xy+y=x^3-x^2+3145x-211228\) |
2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.? |
$[(54, 310), (79, 685)]$ |
45675.g1 |
45675h1 |
45675.g |
45675h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{11} \cdot 5^{16} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1843200$ |
$2.812740$ |
$13263598743074512561/23604697265625$ |
$0.96973$ |
$5.61824$ |
$[1, -1, 1, -11095880, -14201593878]$ |
\(y^2+xy+y=x^3-x^2-11095880x-14201593878\) |
2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.? |
$[]$ |
45675.g2 |
45675h2 |
45675.g |
45675h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{16} \cdot 5^{11} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$3.159313$ |
$-4228901316132262561/18257731027003125$ |
$0.98905$ |
$5.71073$ |
$[1, -1, 1, -7580255, -23363312628]$ |
\(y^2+xy+y=x^3-x^2-7580255x-23363312628\) |
2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.? |
$[]$ |
45675.h1 |
45675q2 |
45675.h |
45675q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.331616371$ |
$1$ |
|
$6$ |
$110592$ |
$1.375887$ |
$380920459249/888125$ |
$0.86203$ |
$3.99971$ |
$[1, -1, 1, -33980, 2414522]$ |
\(y^2+xy+y=x^3-x^2-33980x+2414522\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[(114, 55)]$ |
45675.h2 |
45675q1 |
45675.h |
45675q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{8} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$2.663232742$ |
$1$ |
|
$5$ |
$55296$ |
$1.029314$ |
$-24137569/147175$ |
$0.91419$ |
$3.32669$ |
$[1, -1, 1, -1355, 65522]$ |
\(y^2+xy+y=x^3-x^2-1355x+65522\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(-26, 300)]$ |
45675.i1 |
45675j4 |
45675.i |
45675j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{7} \cdot 5^{14} \cdot 7 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$393216$ |
$2.020763$ |
$3835168345623889/237890625$ |
$0.92921$ |
$4.85878$ |
$[1, -1, 1, -733730, -241712728]$ |
\(y^2+xy+y=x^3-x^2-733730x-241712728\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 120.12.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
45675.i2 |
45675j3 |
45675.i |
45675j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{10} \cdot 5^{8} \cdot 7 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$2.020763$ |
$143622619359409/10025708175$ |
$0.91018$ |
$4.55263$ |
$[1, -1, 1, -245480, 43960772]$ |
\(y^2+xy+y=x^3-x^2-245480x+43960772\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0.h.1, 60.12.0-4.c.1.1, 420.24.0.?, $\ldots$ |
$[]$ |
45675.i3 |
45675j2 |
45675.i |
45675j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{8} \cdot 5^{10} \cdot 7^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12180$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$196608$ |
$1.674189$ |
$1114835073409/231800625$ |
$0.87761$ |
$4.09980$ |
$[1, -1, 1, -48605, -3289228]$ |
\(y^2+xy+y=x^3-x^2-48605x-3289228\) |
2.6.0.a.1, 28.12.0.a.1, 60.12.0-2.a.1.1, 348.12.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
45675.i4 |
45675j1 |
45675.i |
45675j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{7} \cdot 5^{8} \cdot 7^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.327616$ |
$2691419471/5222175$ |
$0.84163$ |
$3.61787$ |
$[1, -1, 1, 6520, -312478]$ |
\(y^2+xy+y=x^3-x^2+6520x-312478\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 60.12.0-4.c.1.2, 174.6.0.?, $\ldots$ |
$[]$ |
45675.j1 |
45675l1 |
45675.j |
45675l |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33600$ |
$0.637836$ |
$-1/1421$ |
$1.01742$ |
$2.88575$ |
$[1, -1, 1, -5, 6122]$ |
\(y^2+xy+y=x^3-x^2-5x+6122\) |
116.2.0.? |
$[]$ |
45675.k1 |
45675z1 |
45675.k |
45675z |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{10} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$1.346481$ |
$-4629825/9947$ |
$0.80908$ |
$3.68936$ |
$[1, -1, 1, -6680, 457822]$ |
\(y^2+xy+y=x^3-x^2-6680x+457822\) |
406.2.0.? |
$[]$ |
45675.l1 |
45675v8 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{22} \cdot 5^{7} \cdot 7^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$97440$ |
$768$ |
$13$ |
$2.890205487$ |
$1$ |
|
$4$ |
$7864320$ |
$3.410553$ |
$708102767635831683894241/14986500682545$ |
$1.00805$ |
$6.63278$ |
$[1, -1, 1, -417804755, 3287168547122]$ |
\(y^2+xy+y=x^3-x^2-417804755x+3287168547122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.7, $\ldots$ |
$[(11809, -7305)]$ |
45675.l2 |
45675v6 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{14} \cdot 5^{8} \cdot 7^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.23 |
2Cs |
$48720$ |
$768$ |
$13$ |
$1.445102743$ |
$1$ |
|
$12$ |
$3932160$ |
$3.063980$ |
$173449931524273005841/795225618065025$ |
$0.98016$ |
$5.85786$ |
$[1, -1, 1, -26141630, 51247808372]$ |
\(y^2+xy+y=x^3-x^2-26141630x+51247808372\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 24.48.0-8.i.1.7, 40.48.0.bc.1, $\ldots$ |
$[(3234, 21220)]$ |
45675.l3 |
45675v7 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{16} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$97440$ |
$768$ |
$13$ |
$2.890205487$ |
$1$ |
|
$4$ |
$7864320$ |
$3.410553$ |
$-20980751961338245441/390320769539963745$ |
$1.00949$ |
$5.98728$ |
$[1, -1, 1, -12928505, 103016832122]$ |
\(y^2+xy+y=x^3-x^2-12928505x+103016832122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.3, $\ldots$ |
$[(-2841, 343195)]$ |
45675.l4 |
45675v4 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$48720$ |
$768$ |
$13$ |
$2.890205487$ |
$1$ |
|
$8$ |
$1966080$ |
$2.717407$ |
$149620653479787841/85970447600625$ |
$1.00893$ |
$5.20026$ |
$[1, -1, 1, -2488505, -126779128]$ |
\(y^2+xy+y=x^3-x^2-2488505x-126779128\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0-4.b.1.6, 40.48.0.b.1, 56.48.0-4.b.1.8, $\ldots$ |
$[(-926, 37650)]$ |
45675.l5 |
45675v2 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.23 |
2Cs |
$48720$ |
$768$ |
$13$ |
$5.780410975$ |
$1$ |
|
$4$ |
$983040$ |
$2.370831$ |
$55254534707337841/144875390625$ |
$0.94400$ |
$5.10742$ |
$[1, -1, 1, -1785380, -915685378]$ |
\(y^2+xy+y=x^3-x^2-1785380x-915685378\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 48.48.0-8.i.1.3, 60.24.0-4.b.1.3, $\ldots$ |
$[(1800, 40333)]$ |
45675.l6 |
45675v1 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{7} \cdot 5^{10} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$97440$ |
$768$ |
$13$ |
$11.56082195$ |
$1$ |
|
$1$ |
$491520$ |
$2.024258$ |
$55150149867714721/380625$ |
$0.94394$ |
$5.10724$ |
$[1, -1, 1, -1784255, -916900378]$ |
\(y^2+xy+y=x^3-x^2-1784255x-916900378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(276942/7, 140251903/7)]$ |
45675.l7 |
45675v3 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{7} \cdot 5^{22} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$97440$ |
$768$ |
$13$ |
$11.56082195$ |
$1$ |
|
$0$ |
$1966080$ |
$2.717407$ |
$-12931706531187361/92926025390625$ |
$0.96987$ |
$5.21406$ |
$[1, -1, 1, -1100255, -1626845128]$ |
\(y^2+xy+y=x^3-x^2-1100255x-1626845128\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(211275/11, 54883823/11)]$ |
45675.l8 |
45675v5 |
45675.l |
45675v |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.67 |
2B |
$97440$ |
$768$ |
$13$ |
$5.780410975$ |
$1$ |
|
$2$ |
$3932160$ |
$3.063980$ |
$9462467906178230159/5515216702895025$ |
$1.02448$ |
$5.58677$ |
$[1, -1, 1, 9914620, -1019804128]$ |
\(y^2+xy+y=x^3-x^2+9914620x-1019804128\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 24.48.0-8.q.1.5, 40.48.0.bf.2, $\ldots$ |
$[(1909, 156720)]$ |
45675.m1 |
45675bn1 |
45675.m |
45675bn |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$2.663377696$ |
$1$ |
|
$3$ |
$174080$ |
$1.482899$ |
$2082440933/115101$ |
$0.83359$ |
$3.96423$ |
$[1, -1, 1, -29930, -1887928]$ |
\(y^2+xy+y=x^3-x^2-29930x-1887928\) |
2.3.0.a.1, 20.6.0.b.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[(243, 2146)]$ |
45675.m2 |
45675bn2 |
45675.m |
45675bn |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{9} \cdot 7^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1.331688848$ |
$1$ |
|
$4$ |
$348160$ |
$1.829472$ |
$688465387/18173169$ |
$0.90298$ |
$4.21506$ |
$[1, -1, 1, 20695, -7659178]$ |
\(y^2+xy+y=x^3-x^2+20695x-7659178\) |
2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[(315, 5323)]$ |
45675.n1 |
45675u4 |
45675.n |
45675u |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{7} \cdot 5^{7} \cdot 7^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$5.816955126$ |
$1$ |
|
$0$ |
$294912$ |
$1.817974$ |
$1382804639990929/1044435$ |
$0.92311$ |
$4.76370$ |
$[1, -1, 1, -522230, -145127478]$ |
\(y^2+xy+y=x^3-x^2-522230x-145127478\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 580.12.0.?, $\ldots$ |
$[(5387/2, 313893/2)]$ |
45675.n2 |
45675u2 |
45675.n |
45675u |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12180$ |
$48$ |
$0$ |
$2.908477563$ |
$1$ |
|
$6$ |
$147456$ |
$1.471399$ |
$344324701729/9272025$ |
$0.86171$ |
$3.99030$ |
$[1, -1, 1, -32855, -2229978]$ |
\(y^2+xy+y=x^3-x^2-32855x-2229978\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 580.12.0.?, $\ldots$ |
$[(-111, 255)]$ |
45675.n3 |
45675u1 |
45675.n |
45675u |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( 3^{7} \cdot 5^{10} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$1.454238781$ |
$1$ |
|
$7$ |
$73728$ |
$1.124826$ |
$1027243729/380625$ |
$0.81389$ |
$3.44835$ |
$[1, -1, 1, -4730, 76272]$ |
\(y^2+xy+y=x^3-x^2-4730x+76272\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 420.12.0.?, $\ldots$ |
$[(14, 105)]$ |
45675.n4 |
45675u3 |
45675.n |
45675u |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$5.816955126$ |
$1$ |
|
$0$ |
$294912$ |
$1.817974$ |
$2691419471/2005141635$ |
$0.95015$ |
$4.20542$ |
$[1, -1, 1, 6520, -7269978]$ |
\(y^2+xy+y=x^3-x^2+6520x-7269978\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(1131/2, 31965/2)]$ |
45675.o1 |
45675e3 |
45675.o |
45675e |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{24} \cdot 7^{5} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$121305600$ |
$4.746323$ |
$-21829688069145876627900706422784/1859294891357421875$ |
$1.07423$ |
$8.23997$ |
$[0, 0, 1, -131005780050, 18250879584181531]$ |
\(y^2+y=x^3-131005780050x+18250879584181531\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 45.24.0-9.a.1.1, 63.36.0.e.2, $\ldots$ |
$[]$ |
45675.o2 |
45675e2 |
45675.o |
45675e |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{12} \cdot 7^{15} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$18270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$40435200$ |
$4.197021$ |
$-39789362471294920448180224/1809191838531247296875$ |
$1.04842$ |
$7.01533$ |
$[0, 0, 1, -1600283550, 25589857156906]$ |
\(y^2+y=x^3-1600283550x+25589857156906\) |
3.12.0.a.1, 15.24.0-3.a.1.1, 63.36.0.b.1, 315.72.0.?, 406.2.0.?, $\ldots$ |
$[]$ |
45675.o3 |
45675e1 |
45675.o |
45675e |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{8} \cdot 7^{5} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$13478400$ |
$3.647713$ |
$9958490884690134695936/6095540060410757075$ |
$1.11166$ |
$6.23535$ |
$[0, 0, 1, 100849200, 93636189031]$ |
\(y^2+y=x^3+100849200x+93636189031\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 63.36.0.e.1, $\ldots$ |
$[]$ |
45675.p1 |
45675be1 |
45675.p |
45675be |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{10} \cdot 5^{8} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$2.198559$ |
$-101687374151680/1934502507$ |
$0.95259$ |
$4.82347$ |
$[0, 0, 1, -639750, 200164531]$ |
\(y^2+y=x^3-639750x+200164531\) |
406.2.0.? |
$[]$ |
45675.q1 |
45675b1 |
45675.q |
45675b |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$870$ |
$16$ |
$0$ |
$0.200895232$ |
$1$ |
|
$16$ |
$96768$ |
$1.414196$ |
$-60088890949632/5975305$ |
$1.02485$ |
$4.16425$ |
$[0, 0, 1, -61200, 5827906]$ |
\(y^2+y=x^3-61200x+5827906\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 174.8.0.?, 870.16.0.? |
$[(130, 262), (-10, 2537)]$ |
45675.q2 |
45675b2 |
45675.q |
45675b |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{9} \cdot 5^{9} \cdot 7^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$870$ |
$16$ |
$0$ |
$1.808057092$ |
$1$ |
|
$10$ |
$290304$ |
$1.963503$ |
$23887872/426477625$ |
$1.06548$ |
$4.36840$ |
$[0, 0, 1, 4050, 17424281]$ |
\(y^2+y=x^3+4050x+17424281\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 174.8.0.?, 870.16.0.? |
$[(6945, 578812), (85, 4287)]$ |
45675.r1 |
45675bd1 |
45675.r |
45675bd |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$0.372870033$ |
$1$ |
|
$14$ |
$11776$ |
$0.328702$ |
$262144/4263$ |
$0.84949$ |
$2.53476$ |
$[0, 0, 1, 60, 931]$ |
\(y^2+y=x^3+60x+931\) |
870.2.0.? |
$[(-5, 22), (1, 31)]$ |
45675.s1 |
45675bc1 |
45675.s |
45675bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{10} \cdot 5^{4} \cdot 7 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.493091589$ |
$1$ |
|
$14$ |
$33792$ |
$0.697823$ |
$-1090355200/16443$ |
$0.85738$ |
$3.15630$ |
$[0, 0, 1, -1650, 26131]$ |
\(y^2+y=x^3-1650x+26131\) |
406.2.0.? |
$[(25, 22), (19, 40)]$ |
45675.t1 |
45675o2 |
45675.t |
45675o |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$0.443491379$ |
$1$ |
|
$4$ |
$48384$ |
$1.047592$ |
$-312381276160/75288843$ |
$0.96507$ |
$3.41366$ |
$[0, 0, 1, -3720, 103936]$ |
\(y^2+y=x^3-3720x+103936\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 6090.16.0.? |
$[(-14, 391)]$ |
45675.t2 |
45675o1 |
45675.t |
45675o |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{12} \cdot 5^{2} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$1.330474139$ |
$1$ |
|
$2$ |
$16128$ |
$0.498286$ |
$218071040/147987$ |
$0.85615$ |
$2.70389$ |
$[0, 0, 1, 330, -959]$ |
\(y^2+y=x^3+330x-959\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 6090.16.0.? |
$[(49, 364)]$ |
45675.u1 |
45675d1 |
45675.u |
45675d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{8} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.747012$ |
$884736/5075$ |
$0.75643$ |
$2.99449$ |
$[0, 0, 1, 450, -10969]$ |
\(y^2+y=x^3+450x-10969\) |
406.2.0.? |
$[]$ |
45675.v1 |
45675c1 |
45675.v |
45675c |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 3^{6} \cdot 5^{2} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70560$ |
$1.164112$ |
$-30342021120000/23882747$ |
$1.22603$ |
$3.80784$ |
$[0, 0, 1, -17100, 861266]$ |
\(y^2+y=x^3-17100x+861266\) |
406.2.0.? |
$[]$ |