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 |
126400.a1 |
126400bg1 |
126400.a |
126400bg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{15} \cdot 5^{8} \cdot 79^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.051978339$ |
$1$ |
|
$4$ |
$533760$ |
$1.346556$ |
$1080/6241$ |
$0.93813$ |
$3.35963$ |
$[0, 0, 0, 500, 430000]$ |
\(y^2=x^3+500x+430000\) |
8.2.0.a.1 |
$[(-26, 632)]$ |
126400.b1 |
126400o1 |
126400.b |
126400o |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{15} \cdot 5^{2} \cdot 79^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.272725814$ |
$1$ |
|
$2$ |
$106752$ |
$0.541837$ |
$1080/6241$ |
$0.93813$ |
$2.53759$ |
$[0, 0, 0, 20, -3440]$ |
\(y^2=x^3+20x-3440\) |
8.2.0.a.1 |
$[(21, 79)]$ |
126400.c1 |
126400z1 |
126400.c |
126400z |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{14} \cdot 5^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$0.668846$ |
$148176/79$ |
$0.72007$ |
$2.66164$ |
$[0, 0, 0, -700, -2000]$ |
\(y^2=x^3-700x-2000\) |
316.2.0.? |
$[ ]$ |
126400.d1 |
126400bt1 |
126400.d |
126400bt |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{14} \cdot 5^{9} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$1.059658$ |
$221184/9875$ |
$0.85839$ |
$3.06457$ |
$[0, 0, 0, 800, 76000]$ |
\(y^2=x^3+800x+76000\) |
790.2.0.? |
$[ ]$ |
126400.e1 |
126400ba1 |
126400.e |
126400ba |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{26} \cdot 5^{6} \cdot 79 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$3.636540094$ |
$1$ |
|
$10$ |
$663552$ |
$1.377863$ |
$72511713/20224$ |
$0.89606$ |
$3.42486$ |
$[0, 0, 0, -13900, 454000]$ |
\(y^2=x^3-13900x+454000\) |
316.2.0.? |
$[(14, 512), (526, 11776)]$ |
126400.f1 |
126400n2 |
126400.f |
126400n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{16} \cdot 5^{7} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$2.594837872$ |
$1$ |
|
$5$ |
$245760$ |
$1.281597$ |
$55990084/31205$ |
$0.82963$ |
$3.28484$ |
$[0, 1, 0, -8033, -55937]$ |
\(y^2=x^3+x^2-8033x-55937\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(-86, 79)]$ |
126400.f2 |
126400n1 |
126400.f |
126400n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{14} \cdot 5^{8} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$1.297418936$ |
$1$ |
|
$7$ |
$122880$ |
$0.935023$ |
$3286064/1975$ |
$0.75109$ |
$2.92545$ |
$[0, 1, 0, 1967, -5937]$ |
\(y^2=x^3+x^2+1967x-5937\) |
2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.? |
$[(43, 400)]$ |
126400.g1 |
126400ch2 |
126400.g |
126400ch |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{19} \cdot 5^{6} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$632$ |
$12$ |
$0$ |
$3.739388764$ |
$1$ |
|
$3$ |
$294912$ |
$1.353973$ |
$81182737/12482$ |
$0.85973$ |
$3.43448$ |
$[0, 1, 0, -14433, -576737]$ |
\(y^2=x^3+x^2-14433x-576737\) |
2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? |
$[(353, 6200)]$ |
126400.g2 |
126400ch1 |
126400.g |
126400ch |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{20} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$632$ |
$12$ |
$0$ |
$1.869694382$ |
$1$ |
|
$5$ |
$147456$ |
$1.007401$ |
$103823/316$ |
$0.80009$ |
$2.99074$ |
$[0, 1, 0, 1567, -48737]$ |
\(y^2=x^3+x^2+1567x-48737\) |
2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? |
$[(33, 200)]$ |
126400.h1 |
126400ct2 |
126400.h |
126400ct |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{12} \cdot 5^{9} \cdot 79^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$9.848112576$ |
$1$ |
|
$7$ |
$266240$ |
$1.349037$ |
$36594368/6241$ |
$0.80576$ |
$3.42363$ |
$[0, 1, 0, -13833, -530537]$ |
\(y^2=x^3+x^2-13833x-530537\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(258, 3625), (-179/2, 237/2)]$ |
126400.h2 |
126400ct1 |
126400.h |
126400ct |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{6} \cdot 5^{9} \cdot 79 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$39.39245030$ |
$1$ |
|
$3$ |
$133120$ |
$1.002462$ |
$2038720832/79$ |
$0.86484$ |
$3.41182$ |
$[0, 1, 0, -13208, -588662]$ |
\(y^2=x^3+x^2-13208x-588662\) |
2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.? |
$[(573/2, 5539/2), (17933, 2401500)]$ |
126400.i1 |
126400ci2 |
126400.i |
126400ci |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{18} \cdot 5^{9} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$6.232821913$ |
$1$ |
|
$1$ |
$1769472$ |
$2.085846$ |
$32525910642961/780125$ |
$0.92329$ |
$4.53268$ |
$[0, 1, 0, -1064033, 422092063]$ |
\(y^2=x^3+x^2-1064033x+422092063\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(-1499/2, 221753/2)]$ |
126400.i2 |
126400ci1 |
126400.i |
126400ci |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{18} \cdot 5^{12} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$3.116410956$ |
$1$ |
|
$3$ |
$884736$ |
$1.739273$ |
$-7088952961/1234375$ |
$0.85603$ |
$3.83735$ |
$[0, 1, 0, -64033, 7092063]$ |
\(y^2=x^3+x^2-64033x+7092063\) |
2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.? |
$[(193, 1400)]$ |
126400.j1 |
126400cp2 |
126400.j |
126400cp |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{12} \cdot 5^{3} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$2.218491983$ |
$1$ |
|
$3$ |
$53248$ |
$0.544317$ |
$36594368/6241$ |
$0.80576$ |
$2.60160$ |
$[0, 1, 0, -553, 4023]$ |
\(y^2=x^3+x^2-553x+4023\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(18, 15)]$ |
126400.j2 |
126400cp1 |
126400.j |
126400cp |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{6} \cdot 5^{3} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$4.436983967$ |
$1$ |
|
$3$ |
$26624$ |
$0.197744$ |
$2038720832/79$ |
$0.86484$ |
$2.58979$ |
$[0, 1, 0, -528, 4498]$ |
\(y^2=x^3+x^2-528x+4498\) |
2.3.0.a.1, 20.6.0.c.1, 316.6.0.?, 1580.12.0.? |
$[(193, 2670)]$ |
126400.k1 |
126400w1 |
126400.k |
126400w |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{10} \cdot 5^{11} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$552960$ |
$1.655161$ |
$7234852182016/19503125$ |
$0.91477$ |
$3.93268$ |
$[0, 1, 0, -101533, -12457437]$ |
\(y^2=x^3+x^2-101533x-12457437\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[ ]$ |
126400.k2 |
126400w2 |
126400.k |
126400w |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{14} \cdot 5^{16} \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1105920$ |
$2.001736$ |
$-103123846096/771484375$ |
$0.90364$ |
$4.03106$ |
$[0, 1, 0, -62033, -22213937]$ |
\(y^2=x^3+x^2-62033x-22213937\) |
2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.? |
$[ ]$ |
126400.l1 |
126400m2 |
126400.l |
126400m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{22} \cdot 5^{7} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$7.125462277$ |
$1$ |
|
$3$ |
$1179648$ |
$2.000156$ |
$8490912541201/499280$ |
$0.91378$ |
$4.41835$ |
$[0, 1, 0, -680033, 215608063]$ |
\(y^2=x^3+x^2-680033x+215608063\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(12573, 1406900)]$ |
126400.l2 |
126400m1 |
126400.l |
126400m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{26} \cdot 5^{8} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$3.562731138$ |
$1$ |
|
$5$ |
$589824$ |
$1.653582$ |
$-1732323601/505600$ |
$0.84355$ |
$3.72977$ |
$[0, 1, 0, -40033, 3768063]$ |
\(y^2=x^3+x^2-40033x+3768063\) |
2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.? |
$[(-227, 1100)]$ |
126400.m1 |
126400cj2 |
126400.m |
126400cj |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{15} \cdot 5^{8} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$632$ |
$12$ |
$0$ |
$3.883211004$ |
$1$ |
|
$3$ |
$491520$ |
$1.425041$ |
$2998442888/156025$ |
$0.81662$ |
$3.56469$ |
$[0, 1, 0, -24033, 1360063]$ |
\(y^2=x^3+x^2-24033x+1360063\) |
2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? |
$[(473, 9800)]$ |
126400.m2 |
126400cj1 |
126400.m |
126400cj |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{12} \cdot 5^{10} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$632$ |
$12$ |
$0$ |
$1.941605502$ |
$1$ |
|
$5$ |
$245760$ |
$1.078466$ |
$1560896/49375$ |
$0.87592$ |
$3.08310$ |
$[0, 1, 0, 967, 85063]$ |
\(y^2=x^3+x^2+967x+85063\) |
2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? |
$[(-27, 200)]$ |
126400.n1 |
126400bo1 |
126400.n |
126400bo |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{16} \cdot 5^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143360$ |
$0.814054$ |
$470596/79$ |
$1.06719$ |
$2.87802$ |
$[0, -1, 0, -1633, -20863]$ |
\(y^2=x^3-x^2-1633x-20863\) |
316.2.0.? |
$[ ]$ |
126400.o1 |
126400bm1 |
126400.o |
126400bm |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{21} \cdot 5^{10} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$668160$ |
$1.671148$ |
$-9725425/632$ |
$0.80343$ |
$3.81092$ |
$[0, -1, 0, -60833, -6070463]$ |
\(y^2=x^3-x^2-60833x-6070463\) |
3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1896.8.0.?, 4740.8.0.?, $\ldots$ |
$[ ]$ |
126400.o2 |
126400bm2 |
126400.o |
126400bm |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{19} \cdot 5^{10} \cdot 79^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2004480$ |
$2.220455$ |
$1685478575/986078$ |
$0.95986$ |
$4.24070$ |
$[0, -1, 0, 339167, -8070463]$ |
\(y^2=x^3-x^2+339167x-8070463\) |
3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1896.8.0.?, 4740.8.0.?, $\ldots$ |
$[ ]$ |
126400.p1 |
126400bf1 |
126400.p |
126400bf |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{21} \cdot 5^{4} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1896$ |
$16$ |
$0$ |
$0.885870911$ |
$1$ |
|
$4$ |
$133632$ |
$0.866428$ |
$-9725425/632$ |
$0.80343$ |
$2.98889$ |
$[0, -1, 0, -2433, 49537]$ |
\(y^2=x^3-x^2-2433x+49537\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 474.8.0.?, 632.2.0.?, 1896.16.0.? |
$[(33, 64)]$ |
126400.p2 |
126400bf2 |
126400.p |
126400bf |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{19} \cdot 5^{4} \cdot 79^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1896$ |
$16$ |
$0$ |
$0.295290303$ |
$1$ |
|
$6$ |
$400896$ |
$1.415735$ |
$1685478575/986078$ |
$0.95986$ |
$3.41866$ |
$[0, -1, 0, 13567, 59137]$ |
\(y^2=x^3-x^2+13567x+59137\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 474.8.0.?, 632.2.0.?, 1896.16.0.? |
$[(161, 2528)]$ |
126400.q1 |
126400i1 |
126400.q |
126400i |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{14} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1.821169285$ |
$1$ |
|
$2$ |
$161280$ |
$1.073982$ |
$2533446736/79$ |
$0.86232$ |
$3.49134$ |
$[0, -1, 0, -18033, -926063]$ |
\(y^2=x^3-x^2-18033x-926063\) |
316.2.0.? |
$[(-77, 4)]$ |
126400.r1 |
126400h2 |
126400.r |
126400h |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{22} \cdot 5^{6} \cdot 79^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3160$ |
$48$ |
$1$ |
$16.77057108$ |
$1$ |
|
$0$ |
$6451200$ |
$2.986549$ |
$1413378216646643521/49232902384$ |
$1.01962$ |
$5.44179$ |
$[0, -1, 0, -37408033, -88048276063]$ |
\(y^2=x^3-x^2-37408033x-88048276063\) |
5.12.0.a.2, 40.24.0-5.a.2.4, 316.2.0.?, 1580.24.1.?, 3160.48.1.? |
$[(217983001/159, 1929321162368/159)]$ |
126400.r2 |
126400h1 |
126400.r |
126400h |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{38} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3160$ |
$48$ |
$1$ |
$3.354114216$ |
$1$ |
|
$2$ |
$1290240$ |
$2.181831$ |
$8194759433281/82837504$ |
$0.96131$ |
$4.41533$ |
$[0, -1, 0, -672033, 210411937]$ |
\(y^2=x^3-x^2-672033x+210411937\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 316.2.0.?, 1580.24.1.?, 3160.48.1.? |
$[(7321, 622592)]$ |
126400.s1 |
126400j1 |
126400.s |
126400j |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{11} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3160$ |
$48$ |
$1$ |
$2.775348154$ |
$1$ |
|
$2$ |
$130560$ |
$0.983467$ |
$-14102327296/246875$ |
$0.85864$ |
$3.16798$ |
$[0, -1, 0, -5033, 141187]$ |
\(y^2=x^3-x^2-5033x+141187\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 790.24.1.?, 3160.48.1.? |
$[(-18, 475)]$ |
126400.s2 |
126400j2 |
126400.s |
126400j |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{7} \cdot 79^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3160$ |
$48$ |
$1$ |
$13.87674077$ |
$1$ |
|
$0$ |
$652800$ |
$1.788185$ |
$2976041775104/15385281995$ |
$0.95926$ |
$3.79734$ |
$[0, -1, 0, 29967, -5633813]$ |
\(y^2=x^3-x^2+29967x-5633813\) |
5.12.0.a.2, 40.24.0-5.a.2.4, 790.24.1.?, 3160.48.1.? |
$[(5150422/39, 11701339525/39)]$ |
126400.t1 |
126400ce1 |
126400.t |
126400ce |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{37} \cdot 5^{10} \cdot 79^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.885147341$ |
$1$ |
|
$2$ |
$8317440$ |
$3.131496$ |
$-3665123505412225/3272081408$ |
$0.98020$ |
$5.48302$ |
$[0, -1, 0, -43940833, 112212689537]$ |
\(y^2=x^3-x^2-43940833x+112212689537\) |
8.2.0.a.1 |
$[(-6259, 376832)]$ |
126400.u1 |
126400bb1 |
126400.u |
126400bb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{37} \cdot 5^{4} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1663488$ |
$2.326778$ |
$-3665123505412225/3272081408$ |
$0.98020$ |
$4.66099$ |
$[0, -1, 0, -1757633, -896998463]$ |
\(y^2=x^3-x^2-1757633x-896998463\) |
8.2.0.a.1 |
$[ ]$ |
126400.v1 |
126400bl3 |
126400.v |
126400bl |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{36} \cdot 5^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$28440$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.524300$ |
$15698803397448457/20709376$ |
$1.00146$ |
$5.05870$ |
$[0, -1, 0, -8346433, 9283872737]$ |
\(y^2=x^3-x^2-8346433x+9283872737\) |
3.4.0.a.1, 9.12.0.a.1, 120.8.0.?, 316.2.0.?, 360.24.0.?, $\ldots$ |
$[ ]$ |
126400.v2 |
126400bl2 |
126400.v |
126400bl |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{24} \cdot 5^{6} \cdot 79^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$28440$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.974991$ |
$59914169497/31554496$ |
$0.96798$ |
$3.99665$ |
$[0, -1, 0, -130433, 5480737]$ |
\(y^2=x^3-x^2-130433x+5480737\) |
3.12.0.a.1, 120.24.0.?, 316.2.0.?, 711.36.0.?, 948.24.1.?, $\ldots$ |
$[ ]$ |
126400.v3 |
126400bl1 |
126400.v |
126400bl |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{20} \cdot 5^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$28440$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.425686$ |
$11134383337/316$ |
$0.90937$ |
$3.85339$ |
$[0, -1, 0, -74433, -7791263]$ |
\(y^2=x^3-x^2-74433x-7791263\) |
3.4.0.a.1, 9.12.0.a.1, 120.8.0.?, 316.2.0.?, 360.24.0.?, $\ldots$ |
$[ ]$ |
126400.w1 |
126400cm1 |
126400.w |
126400cm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{15} \cdot 5^{8} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$632$ |
$2$ |
$0$ |
$0.342374283$ |
$1$ |
|
$6$ |
$126720$ |
$0.984828$ |
$-5000/79$ |
$0.77251$ |
$2.99074$ |
$[0, -1, 0, -833, 49537]$ |
\(y^2=x^3-x^2-833x+49537\) |
632.2.0.? |
$[(17, 200)]$ |
126400.x1 |
126400cd1 |
126400.x |
126400cd |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{15} \cdot 5^{2} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$632$ |
$2$ |
$0$ |
$1.690305697$ |
$1$ |
|
$2$ |
$25344$ |
$0.180110$ |
$-5000/79$ |
$0.77251$ |
$2.16870$ |
$[0, -1, 0, -33, -383]$ |
\(y^2=x^3-x^2-33x-383\) |
632.2.0.? |
$[(21, 88)]$ |
126400.y1 |
126400f1 |
126400.y |
126400f |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{6} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$2.425032894$ |
$1$ |
|
$2$ |
$34560$ |
$0.382189$ |
$24897088/79$ |
$0.79495$ |
$2.62580$ |
$[0, -1, 0, -608, 5962]$ |
\(y^2=x^3-x^2-608x+5962\) |
316.2.0.? |
$[(11, 22)]$ |
126400.z1 |
126400bj1 |
126400.z |
126400bj |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{14} \cdot 5^{7} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.868913$ |
$-7023616/395$ |
$0.70625$ |
$2.99801$ |
$[0, -1, 0, -2533, -50563]$ |
\(y^2=x^3-x^2-2533x-50563\) |
790.2.0.? |
$[ ]$ |
126400.ba1 |
126400be1 |
126400.ba |
126400be |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{3} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$0.820388970$ |
$1$ |
|
$2$ |
$9216$ |
$-0.198828$ |
$-32768/79$ |
$0.72257$ |
$1.78992$ |
$[0, -1, 0, -13, 47]$ |
\(y^2=x^3-x^2-13x+47\) |
790.2.0.? |
$[(2, 5)]$ |
126400.bb1 |
126400cn1 |
126400.bb |
126400cn |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{9} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$6.429263995$ |
$1$ |
|
$0$ |
$46080$ |
$0.605891$ |
$-32768/79$ |
$0.72257$ |
$2.61195$ |
$[0, -1, 0, -333, -5213]$ |
\(y^2=x^3-x^2-333x-5213\) |
790.2.0.? |
$[(4798/13, 189125/13)]$ |
126400.bc1 |
126400e1 |
126400.bc |
126400e |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{18} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1.621725925$ |
$1$ |
|
$4$ |
$110592$ |
$0.949399$ |
$912673/79$ |
$0.78348$ |
$3.05242$ |
$[0, -1, 0, -3233, 66337]$ |
\(y^2=x^3-x^2-3233x+66337\) |
316.2.0.? |
$[(41, 32)]$ |
126400.bd1 |
126400v1 |
126400.bd |
126400v |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{7} \cdot 79^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1133568$ |
$2.149017$ |
$-5058897720777362944/2465195$ |
$0.98500$ |
$4.84227$ |
$[0, -1, 0, -3576383, -2602047863]$ |
\(y^2=x^3-x^2-3576383x-2602047863\) |
790.2.0.? |
$[ ]$ |
126400.be1 |
126400bk1 |
126400.be |
126400bk |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{6} \cdot 5^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.205550$ |
$140608/79$ |
$0.88181$ |
$2.18514$ |
$[0, -1, 0, -108, -38]$ |
\(y^2=x^3-x^2-108x-38\) |
316.2.0.? |
$[ ]$ |
126400.bf1 |
126400g1 |
126400.bf |
126400g |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{20} \cdot 5^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1.429106852$ |
$1$ |
|
$4$ |
$215040$ |
$1.073875$ |
$4826809/316$ |
$0.94063$ |
$3.19420$ |
$[0, -1, 0, -5633, 155137]$ |
\(y^2=x^3-x^2-5633x+155137\) |
316.2.0.? |
$[(33, 64)]$ |
126400.bg1 |
126400bn1 |
126400.bg |
126400bn |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( - 2^{6} \cdot 5^{7} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$790$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52224$ |
$0.333651$ |
$175616/395$ |
$0.65291$ |
$2.29430$ |
$[0, -1, 0, 117, -863]$ |
\(y^2=x^3-x^2+117x-863\) |
790.2.0.? |
$[ ]$ |
126400.bh1 |
126400bv4 |
126400.bh |
126400bv |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{18} \cdot 5^{7} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3160$ |
$48$ |
$0$ |
$23.18348128$ |
$1$ |
|
$1$ |
$1769472$ |
$2.129932$ |
$1034008400994561/395$ |
$0.97173$ |
$4.82715$ |
$[0, 0, 0, -3370700, -2381926000]$ |
\(y^2=x^3-3370700x-2381926000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 632.24.0.?, $\ldots$ |
$[(108336266140/2871, 35289819892381600/2871)]$ |
126400.bh2 |
126400bv3 |
126400.bh |
126400bv |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{18} \cdot 5^{7} \cdot 79^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3160$ |
$48$ |
$0$ |
$5.795870321$ |
$1$ |
|
$1$ |
$1769472$ |
$2.129932$ |
$425428681761/194750405$ |
$1.08650$ |
$4.16351$ |
$[0, 0, 0, -250700, -22086000]$ |
\(y^2=x^3-250700x-22086000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-4711/4, 327613/4)]$ |
126400.bh3 |
126400bv2 |
126400.bh |
126400bv |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 79 \) |
\( 2^{18} \cdot 5^{8} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3160$ |
$48$ |
$0$ |
$11.59174064$ |
$1$ |
|
$3$ |
$884736$ |
$1.783360$ |
$252555814161/156025$ |
$1.14721$ |
$4.11912$ |
$[0, 0, 0, -210700, -37206000]$ |
\(y^2=x^3-210700x-37206000\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 316.12.0.?, $\ldots$ |
$[(1060540/9, 1091490400/9)]$ |