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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
51600.a1 |
51600by1 |
51600.a |
51600by |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$0.931697$ |
$1685159/8256$ |
$[0, -1, 0, 992, 32512]$ |
\(y^2=x^3-x^2+992x+32512\) |
516.2.0.? |
$[]$ |
51600.b1 |
51600cp1 |
51600.b |
51600cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$0.297715084$ |
$1$ |
|
$24$ |
$23040$ |
$0.340477$ |
$-456533/774$ |
$[0, -1, 0, -128, 1152]$ |
\(y^2=x^3-x^2-128x+1152\) |
1720.2.0.? |
$[(8, 24), (-8, 40)]$ |
51600.c1 |
51600ck1 |
51600.c |
51600ck |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 43^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$11.37623653$ |
$1$ |
|
$2$ |
$489600$ |
$1.979439$ |
$-126879079874560/11907683883$ |
$[0, -1, 0, -192833, -35072088]$ |
\(y^2=x^3-x^2-192833x-35072088\) |
86.2.0.? |
$[(261416, 133658568)]$ |
51600.d1 |
51600bx2 |
51600.d |
51600bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{19} \cdot 3^{5} \cdot 5^{12} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5806080$ |
$3.049858$ |
$503835593418244309249/898614000000$ |
$[0, -1, 0, -66310408, 207857731312]$ |
\(y^2=x^3-x^2-66310408x+207857731312\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
51600.d2 |
51600bx1 |
51600.d |
51600bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{26} \cdot 3^{10} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$2.703281$ |
$-119305480789133569/5200091136000$ |
$[0, -1, 0, -4102408, 3317827312]$ |
\(y^2=x^3-x^2-4102408x+3317827312\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[]$ |
51600.e1 |
51600p1 |
51600.e |
51600p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$0.744644$ |
$-30505984/9675$ |
$[0, -1, 0, -1033, -15563]$ |
\(y^2=x^3-x^2-1033x-15563\) |
86.2.0.? |
$[]$ |
51600.f1 |
51600o1 |
51600.f |
51600o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{11} \cdot 3^{13} \cdot 5^{2} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.090189$ |
$-8986321250/68555889$ |
$[0, -1, 0, -1608, 94032]$ |
\(y^2=x^3-x^2-1608x+94032\) |
1032.2.0.? |
$[]$ |
51600.g1 |
51600co2 |
51600.g |
51600co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{19} \cdot 3^{2} \cdot 5^{9} \cdot 43^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$3.263598241$ |
$1$ |
|
$17$ |
$1290240$ |
$2.458176$ |
$20170293914861/3938458752$ |
$[0, -1, 0, -1134208, -378073088]$ |
\(y^2=x^3-x^2-1134208x-378073088\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(-512, 8256), (-384, 832)]$ |
51600.g2 |
51600co1 |
51600.g |
51600co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{26} \cdot 3 \cdot 5^{9} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$13.05439296$ |
$1$ |
|
$9$ |
$645120$ |
$2.111603$ |
$42838260499/90882048$ |
$[0, -1, 0, 145792, -35033088]$ |
\(y^2=x^3-x^2+145792x-35033088\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(442, 10750), (173248, 72111104)]$ |
51600.h1 |
51600m1 |
51600.h |
51600m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{44} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$151388160$ |
$4.832069$ |
$27554726454844416496885738496/26465717996184551883676875$ |
$[0, -1, 0, 9988741967, -312100414164563]$ |
\(y^2=x^3-x^2+9988741967x-312100414164563\) |
86.2.0.? |
$[]$ |
51600.i1 |
51600cn1 |
51600.i |
51600cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.896009226$ |
$1$ |
|
$14$ |
$783360$ |
$2.346062$ |
$-9137635610327905/1128492$ |
$[0, -1, 0, -5094208, 4427206912]$ |
\(y^2=x^3-x^2-5094208x+4427206912\) |
86.2.0.? |
$[(1792, 32400), (1306, 162)]$ |
51600.j1 |
51600cm1 |
51600.j |
51600cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.879991412$ |
$1$ |
|
$12$ |
$37440$ |
$0.717854$ |
$327680/387$ |
$[0, -1, 0, 667, 6537]$ |
\(y^2=x^3-x^2+667x+6537\) |
86.2.0.? |
$[(17, 150), (-47/3, 1450/3)]$ |
51600.k1 |
51600d1 |
51600.k |
51600d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.470315434$ |
$1$ |
|
$2$ |
$6528$ |
$-0.323980$ |
$-10240/387$ |
$[0, -1, 0, -3, -18]$ |
\(y^2=x^3-x^2-3x-18\) |
86.2.0.? |
$[(6, 12)]$ |
51600.l1 |
51600ch2 |
51600.l |
51600ch |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$2.966071450$ |
$1$ |
|
$2$ |
$88128$ |
$1.321548$ |
$-1971080396800/715563$ |
$[0, -1, 0, -35733, 2612637]$ |
\(y^2=x^3-x^2-35733x+2612637\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[(108, 39)]$ |
51600.l2 |
51600ch1 |
51600.l |
51600ch |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$0.988690483$ |
$1$ |
|
$2$ |
$29376$ |
$0.772243$ |
$819200/31347$ |
$[0, -1, 0, 267, 13437]$ |
\(y^2=x^3-x^2+267x+13437\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[(12, 135)]$ |
51600.m1 |
51600k1 |
51600.m |
51600k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65280$ |
$1.006948$ |
$-878800/387$ |
$[0, -1, 0, -2708, -71088]$ |
\(y^2=x^3-x^2-2708x-71088\) |
86.2.0.? |
$[]$ |
51600.n1 |
51600l2 |
51600.n |
51600l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.636926199$ |
$1$ |
|
$29$ |
$86016$ |
$1.123299$ |
$909513218/83205$ |
$[0, -1, 0, -6408, 183312]$ |
\(y^2=x^3-x^2-6408x+183312\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(72, 300), (32, 100)]$ |
51600.n2 |
51600l1 |
51600.n |
51600l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3 \cdot 5^{8} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.547704797$ |
$1$ |
|
$13$ |
$43008$ |
$0.776725$ |
$19307236/3225$ |
$[0, -1, 0, -1408, -16688]$ |
\(y^2=x^3-x^2-1408x-16688\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-18, 50), (-24, 52)]$ |
51600.o1 |
51600e2 |
51600.o |
51600e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.868786915$ |
$1$ |
|
$7$ |
$307200$ |
$1.832693$ |
$2727138195938/545908005$ |
$[0, -1, 0, -92408, 8775312]$ |
\(y^2=x^3-x^2-92408x+8775312\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(-128, 4300)]$ |
51600.o2 |
51600e1 |
51600.o |
51600e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.737573831$ |
$1$ |
|
$5$ |
$153600$ |
$1.486118$ |
$4615962240676/261225$ |
$[0, -1, 0, -87408, 9975312]$ |
\(y^2=x^3-x^2-87408x+9975312\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(182, 250)]$ |
51600.p1 |
51600f1 |
51600.p |
51600f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$12.21442687$ |
$1$ |
|
$0$ |
$82560$ |
$1.133942$ |
$-56243200/387$ |
$[0, -1, 0, -10833, -432963]$ |
\(y^2=x^3-x^2-10833x-432963\) |
86.2.0.? |
$[(349077/2, 206242923/2)]$ |
51600.q1 |
51600bt1 |
51600.q |
51600bt |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.030752$ |
$-799178752/3483$ |
$[0, -1, 0, -7733, -260163]$ |
\(y^2=x^3-x^2-7733x-260163\) |
86.2.0.? |
$[]$ |
51600.r1 |
51600cg1 |
51600.r |
51600cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{35} \cdot 3^{11} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1032$ |
$2$ |
$0$ |
$11.85944091$ |
$1$ |
|
$0$ |
$1457280$ |
$2.565113$ |
$56935209711531575/63898719879168$ |
$[0, -1, 0, 1096392, -428627088]$ |
\(y^2=x^3-x^2+1096392x-428627088\) |
1032.2.0.? |
$[(15280348/141, 82563743744/141)]$ |
51600.s1 |
51600b1 |
51600.s |
51600b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$2.607900609$ |
$1$ |
|
$2$ |
$26880$ |
$0.658259$ |
$1431644/1161$ |
$[0, -1, 0, 592, 3312]$ |
\(y^2=x^3-x^2+592x+3312\) |
516.2.0.? |
$[(-2, 46)]$ |
51600.t1 |
51600bq1 |
51600.t |
51600bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.357556$ |
$-35152/129$ |
$[0, -1, 0, -108, 1212]$ |
\(y^2=x^3-x^2-108x+1212\) |
516.2.0.? |
$[]$ |
51600.u1 |
51600bp1 |
51600.u |
51600bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{19} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1969920$ |
$2.784294$ |
$-9500554530751882177/199908972324$ |
$[0, -1, 0, -17649608, -28534422288]$ |
\(y^2=x^3-x^2-17649608x-28534422288\) |
516.2.0.? |
$[]$ |
51600.v1 |
51600br1 |
51600.v |
51600br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.561123$ |
$-10091699281/13932000$ |
$[0, -1, 0, -18008, -1705488]$ |
\(y^2=x^3-x^2-18008x-1705488\) |
1720.2.0.? |
$[]$ |
51600.w1 |
51600bo1 |
51600.w |
51600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{16} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6082560$ |
$3.261097$ |
$408076159454905367161/1190206406250000$ |
$[0, -1, 0, -61811008, 186593984512]$ |
\(y^2=x^3-x^2-61811008x+186593984512\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[]$ |
51600.w2 |
51600bo2 |
51600.w |
51600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{22} \cdot 5^{11} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12165120$ |
$3.607670$ |
$-86193969101536367161/725294740213012500$ |
$[0, -1, 0, -36811008, 338893984512]$ |
\(y^2=x^3-x^2-36811008x+338893984512\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[]$ |
51600.x1 |
51600bn1 |
51600.x |
51600bn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{8} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.784142$ |
$-522547125460258816/9506987907075$ |
$[0, -1, 0, -6712133, -6795441363]$ |
\(y^2=x^3-x^2-6712133x-6795441363\) |
86.2.0.? |
$[]$ |
51600.y1 |
51600bz4 |
51600.y |
51600bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 5^{10} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5160$ |
$48$ |
$0$ |
$4.722892116$ |
$1$ |
|
$3$ |
$270336$ |
$1.684509$ |
$36097320816649/80625$ |
$[0, -1, 0, -275408, -55538688]$ |
\(y^2=x^3-x^2-275408x-55538688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(5322, 386250)]$ |
51600.y2 |
51600bz3 |
51600.y |
51600bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 43^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5160$ |
$48$ |
$0$ |
$4.722892116$ |
$1$ |
|
$5$ |
$270336$ |
$1.684509$ |
$184122897769/51282015$ |
$[0, -1, 0, -47408, 2877312]$ |
\(y^2=x^3-x^2-47408x+2877312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 1032.24.0.?, 1720.24.0.?, $\ldots$ |
$[(186, 678)]$ |
51600.y3 |
51600bz2 |
51600.y |
51600bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$2.361446058$ |
$1$ |
|
$9$ |
$135168$ |
$1.337936$ |
$9116230969/416025$ |
$[0, -1, 0, -17408, -842688]$ |
\(y^2=x^3-x^2-17408x-842688\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 516.24.0.?, 860.24.0.?, $\ldots$ |
$[(-64, 72)]$ |
51600.y4 |
51600bz1 |
51600.y |
51600bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5160$ |
$48$ |
$0$ |
$1.180723029$ |
$1$ |
|
$7$ |
$67584$ |
$0.991363$ |
$357911/17415$ |
$[0, -1, 0, 592, -50688]$ |
\(y^2=x^3-x^2+592x-50688\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 430.6.0.?, 860.24.0.?, $\ldots$ |
$[(72, 600)]$ |
51600.z1 |
51600q2 |
51600.z |
51600q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.200111$ |
$13231796/5547$ |
$[0, -1, 0, -6208, 100912]$ |
\(y^2=x^3-x^2-6208x+100912\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
51600.z2 |
51600q1 |
51600.z |
51600q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.853538$ |
$476656/387$ |
$[0, -1, 0, 1292, 10912]$ |
\(y^2=x^3-x^2+1292x+10912\) |
2.3.0.a.1, 60.6.0.b.1, 430.6.0.?, 516.6.0.?, 2580.12.0.? |
$[]$ |
51600.ba1 |
51600bm1 |
51600.ba |
51600bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.300140$ |
$51200000/282123$ |
$[0, -1, 0, 4167, -303588]$ |
\(y^2=x^3-x^2+4167x-303588\) |
86.2.0.? |
$[]$ |
51600.bb1 |
51600cc1 |
51600.bb |
51600cc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.703160640$ |
$1$ |
|
$1$ |
$6912$ |
$0.027558$ |
$536870912/129$ |
$[0, -1, 0, -213, -1128]$ |
\(y^2=x^3-x^2-213x-1128\) |
2.3.0.a.1, 20.6.0.b.1, 516.6.0.?, 1290.6.0.?, 2580.12.0.? |
$[(1697/8, 54097/8)]$ |
51600.bb2 |
51600cc2 |
51600.bb |
51600cc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.851580320$ |
$1$ |
|
$3$ |
$13824$ |
$0.374131$ |
$-23086352/16641$ |
$[0, -1, 0, -188, -1428]$ |
\(y^2=x^3-x^2-188x-1428\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(97, 940)]$ |
51600.bc1 |
51600bl2 |
51600.bc |
51600bl |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.750191$ |
$14457238157881/4437600$ |
$[0, -1, 0, -203008, 35264512]$ |
\(y^2=x^3-x^2-203008x+35264512\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
51600.bc2 |
51600bl1 |
51600.bc |
51600bl |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5^{7} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.403616$ |
$-2305199161/1981440$ |
$[0, -1, 0, -11008, 704512]$ |
\(y^2=x^3-x^2-11008x+704512\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[]$ |
51600.bd1 |
51600cd2 |
51600.bd |
51600cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{29} \cdot 3^{8} \cdot 5^{9} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$26.91464264$ |
$1$ |
|
$1$ |
$12533760$ |
$3.726681$ |
$37767168555963845320349/1590072311808$ |
$[0, -1, 0, -1397956208, -20117702849088]$ |
\(y^2=x^3-x^2-1397956208x-20117702849088\) |
2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? |
$[(2451802558572712/112681, 118931868970837985024000/112681)]$ |
51600.bd2 |
51600cd1 |
51600.bd |
51600cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{46} \cdot 3^{4} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$53.82928529$ |
$1$ |
|
$1$ |
$6266880$ |
$3.380108$ |
$-9177493130077937309/59837484367872$ |
$[0, -1, 0, -87236208, -315345089088]$ |
\(y^2=x^3-x^2-87236208x-315345089088\) |
2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? |
$[(4093813641346239853374002/15171506641, 6770470977558182160295558809493465750/15171506641)]$ |
51600.be1 |
51600s2 |
51600.be |
51600s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$0.929790889$ |
$1$ |
|
$7$ |
$30720$ |
$0.686442$ |
$2727876058/16641$ |
$[0, -1, 0, -1848, -29808]$ |
\(y^2=x^3-x^2-1848x-29808\) |
2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.? |
$[(-24, 12)]$ |
51600.be2 |
51600s1 |
51600.be |
51600s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1720$ |
$12$ |
$0$ |
$1.859581778$ |
$1$ |
|
$5$ |
$15360$ |
$0.339869$ |
$-97556/3483$ |
$[0, -1, 0, -48, -1008]$ |
\(y^2=x^3-x^2-48x-1008\) |
2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.? |
$[(22, 90)]$ |
51600.bf1 |
51600h1 |
51600.bf |
51600h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{8} \cdot 3 \cdot 5^{8} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.663219$ |
$20720464/3225$ |
$[0, -1, 0, -908, 9312]$ |
\(y^2=x^3-x^2-908x+9312\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[]$ |
51600.bf2 |
51600h2 |
51600.bf |
51600h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.009794$ |
$27871484/83205$ |
$[0, -1, 0, 1592, 49312]$ |
\(y^2=x^3-x^2+1592x+49312\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[]$ |
51600.bg1 |
51600cf1 |
51600.bg |
51600cf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1.150406311$ |
$1$ |
|
$2$ |
$86400$ |
$1.107483$ |
$-2282665/2322$ |
$[0, -1, 0, -3208, -115088]$ |
\(y^2=x^3-x^2-3208x-115088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 1032.16.0.? |
$[(92, 600)]$ |
51600.bg2 |
51600cf2 |
51600.bg |
51600cf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{15} \cdot 3 \cdot 5^{8} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$3.451218934$ |
$1$ |
|
$2$ |
$259200$ |
$1.656788$ |
$1329238535/1908168$ |
$[0, -1, 0, 26792, 2044912]$ |
\(y^2=x^3-x^2+26792x+2044912\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 1032.16.0.? |
$[(-4, 1392)]$ |
51600.bh1 |
51600ce1 |
51600.bh |
51600ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{33} \cdot 3^{2} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$7.036279143$ |
$1$ |
|
$0$ |
$806400$ |
$2.289307$ |
$-7964053973/811597824$ |
$[0, -1, 0, -83208, -122915088]$ |
\(y^2=x^3-x^2-83208x-122915088\) |
1720.2.0.? |
$[(16497/4, 1905375/4)]$ |