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 |
212415.a1 |
212415i1 |
212415.a |
212415i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{7} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$1.623238$ |
$100471803904/56953125$ |
$1.08007$ |
$3.47905$ |
$[0, -1, 1, -31376, 316532]$ |
\(y^2+y=x^3-x^2-31376x+316532\) |
10.2.0.a.1 |
$[]$ |
212415.b1 |
212415j1 |
212415.b |
212415j |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.605292455$ |
$1$ |
|
$2$ |
$3311616$ |
$1.938375$ |
$-1376628736/1366875$ |
$1.03772$ |
$3.81736$ |
$[0, -1, 1, -89686, 17066496]$ |
\(y^2+y=x^3-x^2-89686x+17066496\) |
6.2.0.a.1 |
$[(1043, 32512)]$ |
212415.c1 |
212415f1 |
212415.c |
212415f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{10} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$23.21584696$ |
$1$ |
|
$0$ |
$318729600$ |
$4.047104$ |
$-13165682446336/6075$ |
$1.02898$ |
$6.35888$ |
$[0, -1, 1, -4077523060, 100218711667248]$ |
\(y^2+y=x^3-x^2-4077523060x+100218711667248\) |
6.2.0.a.1 |
$[(459869031006/3533, 460547034544959/3533)]$ |
212415.d1 |
212415g1 |
212415.d |
212415g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$2.367436523$ |
$1$ |
|
$4$ |
$608256$ |
$1.142973$ |
$7229403136/19845$ |
$0.87057$ |
$3.26450$ |
$[0, -1, 1, -13050, -568114]$ |
\(y^2+y=x^3-x^2-13050x-568114\) |
10.2.0.a.1 |
$[(-63, 4)]$ |
212415.e1 |
212415h1 |
212415.e |
212415h |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{4} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.553177492$ |
$1$ |
|
$2$ |
$2678400$ |
$1.657539$ |
$-13165682446336/6075$ |
$1.02898$ |
$4.02119$ |
$[0, -1, 1, -287940, -59374582]$ |
\(y^2+y=x^3-x^2-287940x-59374582\) |
6.2.0.a.1 |
$[(1094, 30557)]$ |
212415.f1 |
212415e1 |
212415.f |
212415e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{4} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$45532800$ |
$3.074146$ |
$-13165682446336/6075$ |
$1.02898$ |
$5.40704$ |
$[0, 1, 1, -83214756, -292206608494]$ |
\(y^2+y=x^3+x^2-83214756x-292206608494\) |
6.2.0.a.1 |
$[]$ |
212415.g1 |
212415c1 |
212415.g |
212415c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{8} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10340352$ |
$2.559578$ |
$7229403136/19845$ |
$0.87057$ |
$4.65035$ |
$[0, 1, 1, -3771546, -2813771950]$ |
\(y^2+y=x^3+x^2-3771546x-2813771950\) |
10.2.0.a.1 |
$[]$ |
212415.h1 |
212415d1 |
212415.h |
212415d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{10} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18748800$ |
$2.630493$ |
$-13165682446336/6075$ |
$1.02898$ |
$4.97302$ |
$[0, 1, 1, -14109076, 20393699680]$ |
\(y^2+y=x^3+x^2-14109076x+20393699680\) |
6.2.0.a.1 |
$[]$ |
212415.i1 |
212415a1 |
212415.i |
212415a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{7} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.196551602$ |
$1$ |
|
$10$ |
$29611008$ |
$3.039845$ |
$100471803904/56953125$ |
$1.08007$ |
$4.86490$ |
$[0, 1, 1, -9067760, 1500716564]$ |
\(y^2+y=x^3+x^2-9067760x+1500716564\) |
10.2.0.a.1 |
$[(-1349, 106207)]$ |
212415.j1 |
212415b1 |
212415.j |
212415b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{10} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23181312$ |
$2.911331$ |
$-1376628736/1366875$ |
$1.03772$ |
$4.76919$ |
$[0, 1, 1, -4394630, -5845018966]$ |
\(y^2+y=x^3+x^2-4394630x-5845018966\) |
6.2.0.a.1 |
$[]$ |
212415.k1 |
212415bc1 |
212415.k |
212415bc |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$8.967184803$ |
$1$ |
|
$2$ |
$6773760$ |
$2.500793$ |
$-1823682723304561/4613203125$ |
$0.97969$ |
$4.59615$ |
$[1, 1, 1, -3017421, -2023108032]$ |
\(y^2+xy+y=x^3+x^2-3017421x-2023108032\) |
20.2.0.a.1 |
$[(103998, 33481518)]$ |
212415.l1 |
212415bd1 |
212415.l |
212415bd |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$3.601733857$ |
$1$ |
|
$2$ |
$105408$ |
$0.593387$ |
$-1201933201/405$ |
$0.89496$ |
$2.80100$ |
$[1, 1, 1, -1961, -34252]$ |
\(y^2+xy+y=x^3+x^2-1961x-34252\) |
20.2.0.a.1 |
$[(84, 592)]$ |
212415.m1 |
212415y3 |
212415.m |
212415y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42467328$ |
$3.535942$ |
$25351269426118370449/27551475$ |
$0.98384$ |
$5.98013$ |
$[1, 1, 1, -866667656, 9819989573078]$ |
\(y^2+xy+y=x^3+x^2-866667656x+9819989573078\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[]$ |
212415.m2 |
212415y4 |
212415.m |
212415y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42467328$ |
$3.535942$ |
$12010404962647729/6166198828125$ |
$0.97579$ |
$5.35608$ |
$[1, 1, 1, -67562426, 71772930074]$ |
\(y^2+xy+y=x^3+x^2-67562426x+71772930074\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 42.6.0.a.1, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
212415.m3 |
212415y2 |
212415.m |
212415y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$21233664$ |
$3.189369$ |
$6193921595708449/6452105625$ |
$0.94493$ |
$5.30210$ |
$[1, 1, 1, -54180281, 153339780278]$ |
\(y^2+xy+y=x^3+x^2-54180281x+153339780278\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
212415.m4 |
212415y1 |
212415.m |
212415y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{2} \cdot 7^{7} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10616832$ |
$2.842796$ |
$-656008386769/1581036975$ |
$0.91083$ |
$4.68976$ |
$[1, 1, 1, -2563436, 3588989564]$ |
\(y^2+xy+y=x^3+x^2-2563436x+3588989564\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
212415.n1 |
212415z1 |
212415.n |
212415z |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{10} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$4.048666220$ |
$1$ |
|
$2$ |
$12543552$ |
$2.982948$ |
$-1201933201/405$ |
$0.89496$ |
$5.13868$ |
$[1, 1, 1, -27770016, 56331265878]$ |
\(y^2+xy+y=x^3+x^2-27770016x+56331265878\) |
20.2.0.a.1 |
$[(-3926, 325787)]$ |
212415.o1 |
212415ba2 |
212415.o |
212415ba |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$2.182018$ |
$24170156844497/1191196125$ |
$1.04228$ |
$4.15702$ |
$[1, 1, 1, -501761, 130638458]$ |
\(y^2+xy+y=x^3+x^2-501761x+130638458\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
212415.o2 |
212415ba1 |
212415.o |
212415ba |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.835445$ |
$1284365503/48234375$ |
$1.07064$ |
$3.69352$ |
$[1, 1, 1, 18864, 7979208]$ |
\(y^2+xy+y=x^3+x^2+18864x+7979208\) |
2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.? |
$[]$ |
212415.p1 |
212415bb1 |
212415.p |
212415bb |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$3.283102055$ |
$1$ |
|
$2$ |
$16450560$ |
$2.944443$ |
$-1823682723304561/4613203125$ |
$0.97969$ |
$5.03017$ |
$[1, 1, 1, -17796626, 28952797124]$ |
\(y^2+xy+y=x^3+x^2-17796626x+28952797124\) |
20.2.0.a.1 |
$[(2432, 6731)]$ |
212415.q1 |
212415u4 |
212415.q |
212415u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 5 \cdot 7^{10} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$6.346667853$ |
$1$ |
|
$0$ |
$21233664$ |
$3.103210$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.97757$ |
$[1, 1, 1, -14373710, -16192114828]$ |
\(y^2+xy+y=x^3+x^2-14373710x-16192114828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(-11951/3, 654178/3)]$ |
212415.q2 |
212415u2 |
212415.q |
212415u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$3.173333926$ |
$1$ |
|
$6$ |
$10616832$ |
$2.756638$ |
$4347507044161/258084225$ |
$0.89881$ |
$4.71009$ |
$[1, 1, 1, -4815035, 3850514912]$ |
\(y^2+xy+y=x^3+x^2-4815035x+3850514912\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.6, 476.24.0.?, 7140.48.0.? |
$[(-204, 69559)]$ |
212415.q3 |
212415u1 |
212415.q |
212415u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 5 \cdot 7^{7} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$6.346667853$ |
$1$ |
|
$5$ |
$5308416$ |
$2.410061$ |
$4158523459441/16065$ |
$0.89697$ |
$4.70647$ |
$[1, 1, 1, -4744230, 3975386610]$ |
\(y^2+xy+y=x^3+x^2-4744230x+3975386610\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 952.24.0.?, 3570.6.0.?, $\ldots$ |
$[(1484, 13605)]$ |
212415.q4 |
212415u3 |
212415.q |
212415u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{4} \cdot 7^{7} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$1.586666963$ |
$1$ |
|
$4$ |
$21233664$ |
$3.103210$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.93242$ |
$[1, 1, 1, 3610760, 15902772080]$ |
\(y^2+xy+y=x^3+x^2+3610760x+15902772080\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 238.6.0.?, 476.24.0.?, $\ldots$ |
$[(-1002, 106708)]$ |
212415.r1 |
212415v2 |
212415.r |
212415v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$3.405285588$ |
$1$ |
|
$4$ |
$10027008$ |
$2.746014$ |
$208527857/91875$ |
$0.87030$ |
$4.59225$ |
$[1, 1, 1, -2974105, 963200300]$ |
\(y^2+xy+y=x^3+x^2-2974105x+963200300\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(-92, 35203)]$ |
212415.r2 |
212415v1 |
212415.r |
212415v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$6.810571177$ |
$1$ |
|
$3$ |
$5013504$ |
$2.399441$ |
$2048383/1575$ |
$0.80887$ |
$4.21537$ |
$[1, 1, 1, 636950, 112435742]$ |
\(y^2+xy+y=x^3+x^2+636950x+112435742\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(1512, 66586)]$ |
212415.s1 |
212415w2 |
212415.s |
212415w |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{11} \cdot 5^{12} \cdot 7^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$4.047628972$ |
$1$ |
|
$4$ |
$97320960$ |
$4.014214$ |
$63953244990201015504593/5088175635498046875$ |
$1.04088$ |
$5.92579$ |
$[1, 1, 1, -693997585, 6535068232412]$ |
\(y^2+xy+y=x^3+x^2-693997585x+6535068232412\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(-9248, 3492076)]$ |
212415.s2 |
212415w1 |
212415.s |
212415w |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{22} \cdot 5^{6} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$8.095257944$ |
$1$ |
|
$3$ |
$48660480$ |
$3.667645$ |
$16098893047132187167/168182866341984375$ |
$1.04624$ |
$5.48141$ |
$[1, 1, 1, 43819670, 461061462350]$ |
\(y^2+xy+y=x^3+x^2+43819670x+461061462350\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(1008, 711013)]$ |
212415.t1 |
212415x7 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$57120$ |
$768$ |
$13$ |
$8.439857846$ |
$1$ |
|
$0$ |
$7864320$ |
$2.680431$ |
$1114544804970241/405$ |
$1.07354$ |
$5.16227$ |
$[1, 1, 1, -30588055, 65101484720]$ |
\(y^2+xy+y=x^3+x^2-30588055x+65101484720\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(40995/2, 7239617/2)]$ |
212415.t2 |
212415x5 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$28560$ |
$768$ |
$13$ |
$4.219928923$ |
$1$ |
|
$4$ |
$3932160$ |
$2.333858$ |
$272223782641/164025$ |
$1.03897$ |
$4.48421$ |
$[1, 1, 1, -1912030, 1016304050]$ |
\(y^2+xy+y=x^3+x^2-1912030x+1016304050\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[(9743, 947688)]$ |
212415.t3 |
212415x8 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{16} \cdot 5 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$57120$ |
$768$ |
$13$ |
$8.439857846$ |
$1$ |
|
$0$ |
$7864320$ |
$2.680431$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.53685$ |
$[1, 1, 1, -1558005, 1404740280]$ |
\(y^2+xy+y=x^3+x^2-1558005x+1404740280\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(-37925/6, 9474955/6)]$ |
212415.t4 |
212415x4 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$57120$ |
$768$ |
$13$ |
$8.439857846$ |
$1$ |
|
$0$ |
$1966080$ |
$1.987284$ |
$56667352321/15$ |
$1.03019$ |
$4.35626$ |
$[1, 1, 1, -1133175, -464766618]$ |
\(y^2+xy+y=x^3+x^2-1133175x-464766618\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(63299/5, 14042283/5)]$ |
212415.t5 |
212415x3 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$28560$ |
$768$ |
$13$ |
$2.109964461$ |
$1$ |
|
$8$ |
$1966080$ |
$1.987284$ |
$111284641/50625$ |
$1.02534$ |
$3.84813$ |
$[1, 1, 1, -141905, 9456950]$ |
\(y^2+xy+y=x^3+x^2-141905x+9456950\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[(358, 1988)]$ |
212415.t6 |
212415x2 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$28560$ |
$768$ |
$13$ |
$4.219928923$ |
$1$ |
|
$4$ |
$983040$ |
$1.640711$ |
$13997521/225$ |
$0.96230$ |
$3.67912$ |
$[1, 1, 1, -71100, -7224708]$ |
\(y^2+xy+y=x^3+x^2-71100x-7224708\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(2432, 117996)]$ |
212415.t7 |
212415x1 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3 \cdot 5 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$57120$ |
$768$ |
$13$ |
$8.439857846$ |
$1$ |
|
$1$ |
$491520$ |
$1.294136$ |
$-1/15$ |
$1.19808$ |
$3.16620$ |
$[1, 1, 1, -295, -314140]$ |
\(y^2+xy+y=x^3+x^2-295x-314140\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(21454/15, 2308453/15)]$ |
212415.t8 |
212415x6 |
212415.t |
212415x |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$57120$ |
$768$ |
$13$ |
$1.054982230$ |
$1$ |
|
$6$ |
$3932160$ |
$2.333858$ |
$4733169839/3515625$ |
$1.05585$ |
$4.15387$ |
$[1, 1, 1, 495340, 71652062]$ |
\(y^2+xy+y=x^3+x^2+495340x+71652062\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(392, 17866)]$ |
212415.u1 |
212415r2 |
212415.u |
212415r |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{11} \cdot 5^{12} \cdot 7^{12} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$9.565052894$ |
$1$ |
|
$0$ |
$1654456320$ |
$5.430824$ |
$63953244990201015504593/5088175635498046875$ |
$1.04088$ |
$7.31165$ |
$[1, 0, 0, -200565302071, 32108194182955526]$ |
\(y^2+xy=x^3-200565302071x+32108194182955526\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(37879010/11, 408364696/11)]$ |
212415.u2 |
212415r1 |
212415.u |
212415r |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{22} \cdot 5^{6} \cdot 7^{9} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$4.782526447$ |
$1$ |
|
$3$ |
$827228160$ |
$5.084251$ |
$16098893047132187167/168182866341984375$ |
$1.04624$ |
$6.86727$ |
$[1, 0, 0, 12663884624, 2265106317334055]$ |
\(y^2+xy=x^3+12663884624x+2265106317334055\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(105851, 69168419)]$ |
212415.v1 |
212415s2 |
212415.v |
212415s |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$2.159888188$ |
$1$ |
|
$2$ |
$589824$ |
$1.329407$ |
$208527857/91875$ |
$0.87030$ |
$3.20640$ |
$[1, 0, 0, -10291, 195446]$ |
\(y^2+xy=x^3-10291x+195446\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(130, 964)]$ |
212415.v2 |
212415s1 |
212415.v |
212415s |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1.079944094$ |
$1$ |
|
$7$ |
$294912$ |
$0.982834$ |
$2048383/1575$ |
$0.80887$ |
$2.82951$ |
$[1, 0, 0, 2204, 23015]$ |
\(y^2+xy=x^3+2204x+23015\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(11, 215)]$ |
212415.w1 |
212415t4 |
212415.w |
212415t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{7} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$9.790938252$ |
$1$ |
|
$2$ |
$14155776$ |
$2.884712$ |
$530044731605089/26309115$ |
$0.93057$ |
$5.10168$ |
$[1, 0, 0, -23875741, -44903895730]$ |
\(y^2+xy=x^3-23875741x-44903895730\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.3, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$ |
$[(213854, 98762480)]$ |
212415.w2 |
212415t3 |
212415.w |
212415t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 5 \cdot 7^{10} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$2.447734563$ |
$1$ |
|
$4$ |
$14155776$ |
$2.884712$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.82141$ |
$[1, 0, 0, -7590591, 7482033180]$ |
\(y^2+xy=x^3-7590591x+7482033180\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.3, 136.12.0.?, $\ldots$ |
$[(4239, 224775)]$ |
212415.w3 |
212415t2 |
212415.w |
212415t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2380$ |
$48$ |
$0$ |
$4.895469126$ |
$1$ |
|
$6$ |
$7077888$ |
$2.538139$ |
$151334226289/28676025$ |
$1.02382$ |
$4.43634$ |
$[1, 0, 0, -1572166, -622377925]$ |
\(y^2+xy=x^3-1572166x-622377925\) |
2.6.0.a.1, 20.12.0-2.a.1.2, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 140.24.0.?, $\ldots$ |
$[(1439, 9056)]$ |
212415.w4 |
212415t1 |
212415.w |
212415t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$9.790938252$ |
$1$ |
|
$1$ |
$3538944$ |
$2.191566$ |
$302111711/669375$ |
$0.83568$ |
$4.01432$ |
$[1, 0, 0, 197959, -57000000]$ |
\(y^2+xy=x^3+197959x-57000000\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.3, 68.12.0-4.c.1.2, $\ldots$ |
$[(84709/19, 9788305/19)]$ |
212415.x1 |
212415k1 |
212415.x |
212415k |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.235366987$ |
$1$ |
|
$22$ |
$967680$ |
$1.527836$ |
$-1823682723304561/4613203125$ |
$0.97969$ |
$3.64431$ |
$[1, 0, 0, -61580, 5889477]$ |
\(y^2+xy=x^3-61580x+5889477\) |
20.2.0.a.1 |
$[(169, 478), (139, 73)]$ |
212415.y1 |
212415l5 |
212415.y |
212415l |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7^{14} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$28560$ |
$192$ |
$1$ |
$26.37525410$ |
$1$ |
|
$0$ |
$56623104$ |
$3.510811$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.74258$ |
$[1, 0, 0, -328110665, 2287529094402]$ |
\(y^2+xy=x^3-328110665x+2287529094402\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 60.12.0.h.1, $\ldots$ |
$[(37683/2, 1406739/2), (-1308807/8, 346841031/8)]$ |
212415.y2 |
212415l4 |
212415.y |
212415l |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$28560$ |
$192$ |
$1$ |
$6.593813525$ |
$1$ |
|
$8$ |
$28311552$ |
$3.164238$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.40066$ |
$[1, 0, 0, -81072020, -280968402975]$ |
\(y^2+xy=x^3-81072020x-280968402975\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 168.48.0.?, 240.48.0.?, $\ldots$ |
$[(-5195, 430), (328945/3, 181794055/3)]$ |
212415.y3 |
212415l3 |
212415.y |
212415l |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 17^{10} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$14280$ |
$192$ |
$1$ |
$26.37525410$ |
$1$ |
|
$6$ |
$28311552$ |
$3.164238$ |
$369543396484081/45120132225$ |
$1.10652$ |
$5.07227$ |
$[1, 0, 0, -21170990, 33302733267]$ |
\(y^2+xy=x^3-21170990x+33302733267\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 60.24.0.c.1, 120.48.0.?, $\ldots$ |
$[(8754, 715923), (3394, 21703)]$ |
212415.y4 |
212415l2 |
212415.y |
212415l |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$6.593813525$ |
$1$ |
|
$18$ |
$14155776$ |
$2.817665$ |
$5602762882081/716900625$ |
$0.98003$ |
$4.73077$ |
$[1, 0, 0, -5239865, -4074872208]$ |
\(y^2+xy=x^3-5239865x-4074872208\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 120.48.0.?, 168.48.0.?, 280.48.0.?, $\ldots$ |
$[(8439, 739233), (-941, 5248)]$ |
212415.y5 |
212415l1 |
212415.y |
212415l |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{7} \cdot 17^{7} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$28560$ |
$192$ |
$1$ |
$6.593813525$ |
$1$ |
|
$19$ |
$7077888$ |
$2.471092$ |
$4733169839/19518975$ |
$0.87668$ |
$4.30164$ |
$[1, 0, 0, 495340, -332077425]$ |
\(y^2+xy=x^3+495340x-332077425\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 238.6.0.?, 240.48.0.?, $\ldots$ |
$[(655, 16210), (802, 23707)]$ |