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 |
195.a6 |
195a1 |
195.a |
195a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \) |
\( 3^{4} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.28 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$24$ |
$-0.196877$ |
$147281603041/5265$ |
$0.93867$ |
$4.87685$ |
$[1, 0, 0, -110, 435]$ |
\(y^2+xy=x^3-110x+435\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 40.48.0-40.cb.2.7, $\ldots$ |
$[]$ |
585.g6 |
585f1 |
585.g |
585f |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \) |
\( 3^{10} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.3 |
2B |
$6240$ |
$768$ |
$13$ |
$5.544855213$ |
$1$ |
|
$3$ |
$192$ |
$0.352429$ |
$147281603041/5265$ |
$0.93867$ |
$5.07050$ |
$[1, -1, 0, -990, -11745]$ |
\(y^2+xy=x^3-x^2-990x-11745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.g.1, $\ldots$ |
$[(238, 3513)]$ |
975.i6 |
975a1 |
975.i |
975a |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.87 |
2B |
$6240$ |
$768$ |
$13$ |
$1.445351661$ |
$1$ |
|
$5$ |
$576$ |
$0.607841$ |
$147281603041/5265$ |
$0.93867$ |
$5.13949$ |
$[1, 1, 0, -2750, 54375]$ |
\(y^2+xy=x^3+x^2-2750x+54375\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.16, 20.12.0-4.c.1.2, $\ldots$ |
$[(26, 23)]$ |
2535.k6 |
2535f1 |
2535.k |
2535f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.86 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$4032$ |
$1.085598$ |
$147281603041/5265$ |
$0.93867$ |
$5.24440$ |
$[1, 0, 1, -18594, 974287]$ |
\(y^2+xy+y=x^3-18594x+974287\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
2925.d6 |
2925g1 |
2925.d |
2925g |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.157148$ |
$147281603041/5265$ |
$0.93867$ |
$5.25794$ |
$[1, -1, 1, -24755, -1492878]$ |
\(y^2+xy+y=x^3-x^2-24755x-1492878\) |
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.1.8, $\ldots$ |
$[]$ |
3120.k6 |
3120r1 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.44 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.496270$ |
$147281603041/5265$ |
$0.93867$ |
$4.23007$ |
$[0, -1, 0, -1760, -27840]$ |
\(y^2=x^3-x^2-1760x-27840\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 40.48.0-40.cb.2.3, $\ldots$ |
$[]$ |
7605.h6 |
7605p1 |
7605.h |
7605p |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 3^{10} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.2 |
2B |
$6240$ |
$768$ |
$13$ |
$12.72696244$ |
$1$ |
|
$1$ |
$32256$ |
$1.634903$ |
$147281603041/5265$ |
$0.93867$ |
$5.33729$ |
$[1, -1, 1, -167342, -26305756]$ |
\(y^2+xy+y=x^3-x^2-167342x-26305756\) |
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.1.8, $\ldots$ |
$[(3610636/57, 6202458751/57)]$ |
9360.o6 |
9360bm1 |
9360.o |
9360bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.3 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.045576$ |
$147281603041/5265$ |
$0.93867$ |
$4.44271$ |
$[0, 0, 0, -15843, 767522]$ |
\(y^2=x^3-15843x+767522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.g.1, $\ldots$ |
$[]$ |
9555.b6 |
9555e1 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.776078$ |
$147281603041/5265$ |
$0.93867$ |
$4.07985$ |
$[1, 1, 1, -5391, -154596]$ |
\(y^2+xy+y=x^3+x^2-5391x-154596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
12480.n6 |
12480a1 |
12480.n |
12480a |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.193 |
2B |
$6240$ |
$768$ |
$13$ |
$1.197297732$ |
$1$ |
|
$5$ |
$12288$ |
$0.842843$ |
$147281603041/5265$ |
$0.93867$ |
$4.04927$ |
$[0, -1, 0, -7041, 229761]$ |
\(y^2=x^3-x^2-7041x+229761\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.g.1.14, 40.48.0-40.cb.2.1, $\ldots$ |
$[(48, 9)]$ |
12480.ca6 |
12480cj1 |
12480.ca |
12480cj |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.181 |
2B |
$6240$ |
$768$ |
$13$ |
$2.640917057$ |
$1$ |
|
$3$ |
$12288$ |
$0.842843$ |
$147281603041/5265$ |
$0.93867$ |
$4.04927$ |
$[0, 1, 0, -7041, -229761]$ |
\(y^2=x^3+x^2-7041x-229761\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.g.1.10, 40.48.0-40.cb.2.5, $\ldots$ |
$[(207, 2688)]$ |
12675.j6 |
12675e1 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.34 |
2B |
$6240$ |
$768$ |
$13$ |
$2.077838497$ |
$1$ |
|
$9$ |
$96768$ |
$1.890316$ |
$147281603041/5265$ |
$0.93867$ |
$5.37312$ |
$[1, 1, 1, -464838, 121785906]$ |
\(y^2+xy+y=x^3+x^2-464838x+121785906\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.g.1.15, 40.48.0-40.cb.2.10, $\ldots$ |
$[(370, 602)]$ |
15600.cj6 |
15600bz1 |
15600.cj |
15600bz |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.158 |
2B |
$6240$ |
$768$ |
$13$ |
$2.170397117$ |
$1$ |
|
$5$ |
$36864$ |
$1.300989$ |
$147281603041/5265$ |
$0.93867$ |
$4.52510$ |
$[0, 1, 0, -44008, -3568012]$ |
\(y^2=x^3+x^2-44008x-3568012\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.12, 20.12.0-4.c.1.1, $\ldots$ |
$[(-121, 6)]$ |
23595.p6 |
23595n1 |
23595.p |
23595n |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 3^{4} \cdot 5 \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$68640$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$30720$ |
$1.002069$ |
$147281603041/5265$ |
$0.93867$ |
$3.98290$ |
$[1, 0, 1, -13313, -592297]$ |
\(y^2+xy+y=x^3-13313x-592297\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
28665.bm6 |
28665bq1 |
28665.bm |
28665bq |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{10} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.325384$ |
$147281603041/5265$ |
$0.93867$ |
$4.28538$ |
$[1, -1, 0, -48519, 4125568]$ |
\(y^2+xy=x^3-x^2-48519x+4125568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
37440.ef6 |
37440ex1 |
37440.ef |
37440ex |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.10 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.392149$ |
$147281603041/5265$ |
$0.93867$ |
$4.25279$ |
$[0, 0, 0, -63372, 6140176]$ |
\(y^2=x^3-63372x+6140176\) |
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.1.11, $\ldots$ |
$[]$ |
37440.ep6 |
37440ca1 |
37440.ep |
37440ca |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.10 |
2B |
$6240$ |
$768$ |
$13$ |
$10.84291307$ |
$1$ |
|
$1$ |
$98304$ |
$1.392149$ |
$147281603041/5265$ |
$0.93867$ |
$4.25279$ |
$[0, 0, 0, -63372, -6140176]$ |
\(y^2=x^3-63372x-6140176\) |
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.1.9, $\ldots$ |
$[(356894/19, 205480960/19)]$ |
38025.cm6 |
38025bb1 |
38025.cm |
38025bb |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{7} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.6 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$9$ |
$3$ |
$1$ |
$774144$ |
$2.439621$ |
$147281603041/5265$ |
$0.93867$ |
$5.43842$ |
$[1, -1, 0, -4183542, -3292403009]$ |
\(y^2+xy=x^3-x^2-4183542x-3292403009\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.g.1, $\ldots$ |
$[]$ |
40560.h6 |
40560bg1 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.159 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.778744$ |
$147281603041/5265$ |
$0.93867$ |
$4.65792$ |
$[0, -1, 0, -297496, -62354384]$ |
\(y^2=x^3-x^2-297496x-62354384\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
46800.dh6 |
46800cw1 |
46800.dh |
46800cw |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$6240$ |
$768$ |
$13$ |
$1.602818738$ |
$1$ |
|
$7$ |
$294912$ |
$1.850294$ |
$147281603041/5265$ |
$0.93867$ |
$4.67578$ |
$[0, 0, 0, -396075, 95940250]$ |
\(y^2=x^3-396075x+95940250\) |
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.1.4, $\ldots$ |
$[(405, 1400)]$ |
47775.df6 |
47775cp1 |
47775.df |
47775cp |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{7} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.580797$ |
$147281603041/5265$ |
$0.93867$ |
$4.36668$ |
$[1, 0, 1, -134776, -19054927]$ |
\(y^2+xy+y=x^3-134776x-19054927\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
56355.b6 |
56355b1 |
56355.b |
56355b |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$106080$ |
$768$ |
$13$ |
$5.063879576$ |
$1$ |
|
$13$ |
$122880$ |
$1.219728$ |
$147281603041/5265$ |
$0.93867$ |
$3.90467$ |
$[1, 1, 1, -31796, 2168948]$ |
\(y^2+xy+y=x^3+x^2-31796x+2168948\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(102, -56), (104, -28)]$ |
62400.cw6 |
62400ep1 |
62400.cw |
62400ep |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.110 |
2B |
$6240$ |
$768$ |
$13$ |
$3.180395400$ |
$1$ |
|
$3$ |
$294912$ |
$1.647562$ |
$147281603041/5265$ |
$0.93867$ |
$4.33362$ |
$[0, -1, 0, -176033, -28368063]$ |
\(y^2=x^3-x^2-176033x-28368063\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.8, 40.48.0-40.cb.2.2, $\ldots$ |
$[(1197, 38400)]$ |
62400.fm6 |
62400cs1 |
62400.fm |
62400cs |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.171 |
2B |
$6240$ |
$768$ |
$13$ |
$0.690092548$ |
$1$ |
|
$9$ |
$294912$ |
$1.647562$ |
$147281603041/5265$ |
$0.93867$ |
$4.33362$ |
$[0, 1, 0, -176033, 28368063]$ |
\(y^2=x^3+x^2-176033x+28368063\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.4, 40.48.0-40.cb.2.6, $\ldots$ |
$[(253, 300)]$ |
70395.n6 |
70395g1 |
70395.n |
70395g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$118560$ |
$768$ |
$13$ |
$22.65862717$ |
$1$ |
|
$1$ |
$165888$ |
$1.275343$ |
$147281603041/5265$ |
$0.93867$ |
$3.88664$ |
$[1, 1, 0, -39717, -3063096]$ |
\(y^2+xy=x^3+x^2-39717x-3063096\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(6701179180/1397, 543037126919954/1397)]$ |
70785.i6 |
70785m1 |
70785.i |
70785m |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 3^{10} \cdot 5 \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$68640$ |
$768$ |
$13$ |
$4.461314479$ |
$1$ |
|
$3$ |
$245760$ |
$1.551376$ |
$147281603041/5265$ |
$0.93867$ |
$4.18134$ |
$[1, -1, 1, -119813, 15992012]$ |
\(y^2+xy+y=x^3-x^2-119813x+15992012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(226, 534)]$ |
103155.e6 |
103155h1 |
103155.e |
103155h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$143520$ |
$768$ |
$13$ |
$13.64760496$ |
$1$ |
|
$7$ |
$270336$ |
$1.370871$ |
$147281603041/5265$ |
$0.93867$ |
$3.85730$ |
$[1, 0, 0, -58201, -5409040]$ |
\(y^2+xy=x^3-58201x-5409040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(-139, 80), (301, 1939)]$ |
117975.n6 |
117975p1 |
117975.n |
117975p |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{7} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$68640$ |
$768$ |
$13$ |
$7.496806379$ |
$1$ |
|
$1$ |
$737280$ |
$1.806789$ |
$147281603041/5265$ |
$0.93867$ |
$4.26089$ |
$[1, 1, 1, -332813, -74037094]$ |
\(y^2+xy+y=x^3+x^2-332813x-74037094\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(6010/3, 29684/3)]$ |
121680.ef6 |
121680eo1 |
121680.ef |
121680eo |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.2 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.328053$ |
$147281603041/5265$ |
$0.93867$ |
$4.78384$ |
$[0, 0, 0, -2677467, 1686245834]$ |
\(y^2=x^3-2677467x+1686245834\) |
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.1.4, $\ldots$ |
$[]$ |
124215.cj6 |
124215bd1 |
124215.cj |
124215bd |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$4.153643812$ |
$1$ |
|
$1$ |
$1548288$ |
$2.058552$ |
$147281603041/5265$ |
$0.93867$ |
$4.49973$ |
$[1, 1, 0, -911082, -335091609]$ |
\(y^2+xy=x^3+x^2-911082x-335091609\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(8795/2, 719933/2)]$ |
143325.z6 |
143325bi1 |
143325.z |
143325bi |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{7} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.130104$ |
$147281603041/5265$ |
$0.93867$ |
$4.51781$ |
$[1, -1, 1, -1212980, 514483022]$ |
\(y^2+xy+y=x^3-x^2-1212980x+514483022\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
152880.em6 |
152880bu1 |
152880.em |
152880bu |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1.128731714$ |
$1$ |
|
$19$ |
$589824$ |
$1.469225$ |
$147281603041/5265$ |
$0.93867$ |
$3.82904$ |
$[0, 1, 0, -86256, 9721620]$ |
\(y^2=x^3+x^2-86256x+9721620\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(156, 294), (186, 384)]$ |
162240.dh6 |
162240hc1 |
162240.dh |
162240hc |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.170 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.125317$ |
$147281603041/5265$ |
$0.93867$ |
$4.46634$ |
$[0, -1, 0, -1189985, 500025057]$ |
\(y^2=x^3-x^2-1189985x+500025057\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.13, 40.48.0-40.cb.2.11, $\ldots$ |
$[]$ |
162240.he6 |
162240k1 |
162240.he |
162240k |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.111 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.125317$ |
$147281603041/5265$ |
$0.93867$ |
$4.46634$ |
$[0, 1, 0, -1189985, -500025057]$ |
\(y^2=x^3+x^2-1189985x-500025057\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.9, 40.48.0-40.cb.2.15, $\ldots$ |
$[]$ |
163995.t6 |
163995y1 |
163995.t |
163995y |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$180960$ |
$768$ |
$13$ |
$4.902415562$ |
$1$ |
|
$3$ |
$602112$ |
$1.486771$ |
$147281603041/5265$ |
$0.93867$ |
$3.82420$ |
$[1, 1, 0, -92527, 10794256]$ |
\(y^2+xy=x^3+x^2-92527x+10794256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(240, 1456)]$ |
169065.bi6 |
169065x1 |
169065.bi |
169065x |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$106080$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$1$ |
$983040$ |
$1.769035$ |
$147281603041/5265$ |
$0.93867$ |
$4.09590$ |
$[1, -1, 0, -286164, -58847765]$ |
\(y^2+xy=x^3-x^2-286164x-58847765\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
187200.hl6 |
187200eh1 |
187200.hl |
187200eh |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.9 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.196869$ |
$147281603041/5265$ |
$0.93867$ |
$4.48442$ |
$[0, 0, 0, -1584300, 767522000]$ |
\(y^2=x^3-1584300x+767522000\) |
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, $\ldots$ |
$[]$ |
187200.ji6 |
187200mt1 |
187200.ji |
187200mt |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.9 |
2B |
$6240$ |
$768$ |
$13$ |
$17.14540759$ |
$1$ |
|
$1$ |
$2359296$ |
$2.196869$ |
$147281603041/5265$ |
$0.93867$ |
$4.48442$ |
$[0, 0, 0, -1584300, -767522000]$ |
\(y^2=x^3-1584300x-767522000\) |
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, $\ldots$ |
$[(-507970999/836, 89907358149/836)]$ |
187395.g6 |
187395h1 |
187395.g |
187395h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$193440$ |
$768$ |
$13$ |
$6.992232108$ |
$1$ |
|
$3$ |
$691200$ |
$1.520117$ |
$147281603041/5265$ |
$0.93867$ |
$3.81514$ |
$[1, 1, 1, -105730, -13276258]$ |
\(y^2+xy+y=x^3+x^2-105730x-13276258\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(900, 24481)]$ |
202800.ie6 |
202800cg1 |
202800.ie |
202800cg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.50 |
2B |
$6240$ |
$768$ |
$13$ |
$1.756066608$ |
$1$ |
|
$7$ |
$6193152$ |
$2.583462$ |
$147281603041/5265$ |
$0.93867$ |
$4.83468$ |
$[0, 1, 0, -7437408, -7809172812]$ |
\(y^2=x^3+x^2-7437408x-7809172812\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.g.1.11, 40.48.0-40.cb.2.14, $\ldots$ |
$[(-1572, 450)]$ |
211185.g6 |
211185l1 |
211185.g |
211185l |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 3^{10} \cdot 5 \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$118560$ |
$768$ |
$13$ |
$4.111075321$ |
$1$ |
|
$5$ |
$1327104$ |
$1.824648$ |
$147281603041/5265$ |
$0.93867$ |
$4.07601$ |
$[1, -1, 1, -357458, 82346136]$ |
\(y^2+xy+y=x^3-x^2-357458x+82346136\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(348, -109)]$ |
266955.w6 |
266955w1 |
266955.w |
266955w |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 37^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$230880$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1216512$ |
$1.608582$ |
$147281603041/5265$ |
$0.93867$ |
$3.79206$ |
$[1, 0, 1, -150619, 22485881]$ |
\(y^2+xy+y=x^3-150619x+22485881\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
281775.bz6 |
281775bz1 |
281775.bz |
281775bz |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$106080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.024448$ |
$147281603041/5265$ |
$0.93867$ |
$4.17341$ |
$[1, 0, 1, -794901, 272708323]$ |
\(y^2+xy+y=x^3-794901x+272708323\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
306735.p6 |
306735p1 |
306735.p |
306735p |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5 \cdot 11^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$68640$ |
$768$ |
$13$ |
$5.465092990$ |
$1$ |
|
$3$ |
$5160960$ |
$2.284546$ |
$147281603041/5265$ |
$0.93867$ |
$4.39242$ |
$[1, 0, 0, -2249816, -1299026145]$ |
\(y^2+xy=x^3-2249816x-1299026145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(5059, 339235)]$ |
309465.bg6 |
309465bg1 |
309465.bg |
309465bg |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 3^{10} \cdot 5 \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$143520$ |
$768$ |
$13$ |
$25.41487548$ |
$1$ |
|
$1$ |
$2162688$ |
$1.920176$ |
$147281603041/5265$ |
$0.93867$ |
$4.04349$ |
$[1, -1, 0, -523809, 146044080]$ |
\(y^2+xy=x^3-x^2-523809x+146044080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(113569790404/5571, 37254892327369514/5571)]$ |
327795.d6 |
327795d1 |
327795.d |
327795d |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 41^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 41^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$255840$ |
$768$ |
$13$ |
$13.96681473$ |
$1$ |
|
$5$ |
$1658880$ |
$1.659908$ |
$147281603041/5265$ |
$0.93867$ |
$3.77925$ |
$[1, 1, 1, -184945, 30535430]$ |
\(y^2+xy+y=x^3+x^2-184945x+30535430\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(245, -51), (-376, 7050)]$ |
351975.q6 |
351975q1 |
351975.q |
351975q |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$118560$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3981312$ |
$2.080063$ |
$147281603041/5265$ |
$0.93867$ |
$4.15297$ |
$[1, 0, 0, -992938, -380901133]$ |
\(y^2+xy=x^3-992938x-380901133\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
353925.da6 |
353925da1 |
353925.da |
353925da |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{7} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$68640$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.356094$ |
$147281603041/5265$ |
$0.93867$ |
$4.41042$ |
$[1, -1, 0, -2995317, 1996006216]$ |
\(y^2+xy=x^3-x^2-2995317x+1996006216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[]$ |
360555.l6 |
360555l1 |
360555.l |
360555l |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 43^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$268320$ |
$768$ |
$13$ |
$35.91717222$ |
$1$ |
|
$1$ |
$1935360$ |
$1.683723$ |
$147281603041/5265$ |
$0.93867$ |
$3.77345$ |
$[1, 1, 0, -203428, -35399213]$ |
\(y^2+xy=x^3+x^2-203428x-35399213\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(2909059360289674/2015469, 108977383520104239577295/2015469)]$ |
372645.bl6 |
372645bl1 |
372645.bl |
372645bl |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5 \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$2.095573545$ |
$1$ |
|
$3$ |
$12386304$ |
$2.607857$ |
$147281603041/5265$ |
$0.93867$ |
$4.62821$ |
$[1, -1, 1, -8199743, 9039273702]$ |
\(y^2+xy+y=x^3-x^2-8199743x+9039273702\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 40.24.0.cb.2, $\ldots$ |
$[(4937, 295647)]$ |