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 |
195.a4 |
195a3 |
195.a |
195a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.48.0.3 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$96$ |
$0.496270$ |
$15551989015681/1445900625$ |
$[1, 0, 0, -520, -4225]$ |
\(y^2+xy=x^3-520x-4225\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.1, 40.96.0-40.b.2.9, 104.96.0.?, $\ldots$ |
$[]$ |
585.g4 |
585f3 |
585.g |
585f |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.42 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1.386213803$ |
$1$ |
|
$6$ |
$768$ |
$1.045576$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -4680, 114075]$ |
\(y^2+xy=x^3-x^2-4680x+114075\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 12.48.0-4.b.1.1, 24.96.0-24.b.1.12, $\ldots$ |
$[(78, 429)]$ |
975.i4 |
975a3 |
975.i |
975a |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.47 |
2Cs |
$3120$ |
$768$ |
$13$ |
$5.781406645$ |
$1$ |
|
$2$ |
$2304$ |
$1.300989$ |
$15551989015681/1445900625$ |
$[1, 1, 0, -13000, -528125]$ |
\(y^2+xy=x^3+x^2-13000x-528125\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.3, 20.48.0-4.b.1.1, 24.96.0-24.b.1.8, $\ldots$ |
$[(-321/2, 959/2)]$ |
2535.k4 |
2535f3 |
2535.k |
2535f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.43 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$16128$ |
$1.778744$ |
$15551989015681/1445900625$ |
$[1, 0, 1, -87884, -9194443]$ |
\(y^2+xy+y=x^3-87884x-9194443\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.1, 24.96.0-24.b.1.14, 40.96.0-40.b.2.23, $\ldots$ |
$[]$ |
2925.d4 |
2925g3 |
2925.d |
2925g |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{10} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.53 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.850294$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -117005, 14142372]$ |
\(y^2+xy+y=x^3-x^2-117005x+14142372\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.9, 24.96.0-24.b.1.7, 40.96.0-40.b.2.4, $\ldots$ |
$[]$ |
3120.k4 |
3120r3 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.48.0.3 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$6144$ |
$1.189417$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -8320, 270400]$ |
\(y^2=x^3-x^2-8320x+270400\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.11, 40.96.0-40.b.2.2, 104.96.0.?, $\ldots$ |
$[]$ |
7605.h4 |
7605p3 |
7605.h |
7605p |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.48 |
2Cs |
$3120$ |
$768$ |
$13$ |
$3.181740612$ |
$1$ |
|
$6$ |
$129024$ |
$2.328053$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -790952, 248249954]$ |
\(y^2+xy+y=x^3-x^2-790952x+248249954\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.6, 24.96.0-24.b.1.23, 40.96.0-40.b.2.16, $\ldots$ |
$[(894, 15523)]$ |
9360.o4 |
9360bm3 |
9360.o |
9360bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.42 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.738724$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -74883, -7225918]$ |
\(y^2=x^3-74883x-7225918\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 12.48.0-4.b.1.1, 24.96.0-24.b.1.2, $\ldots$ |
$[]$ |
9555.b4 |
9555e3 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$36864$ |
$1.469225$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -25481, 1423694]$ |
\(y^2+xy+y=x^3+x^2-25481x+1423694\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 28.48.0-4.b.1.1, 40.48.0.b.2, $\ldots$ |
$[]$ |
12480.n4 |
12480a3 |
12480.n |
12480a |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.52 |
2Cs |
$3120$ |
$768$ |
$13$ |
$4.789190928$ |
$1$ |
|
$7$ |
$49152$ |
$1.535990$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -33281, -2129919]$ |
\(y^2=x^3-x^2-33281x-2129919\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.2, 24.96.0-24.b.1.10, 40.96.0-40.b.2.5, $\ldots$ |
$[(-80, 119)]$ |
12480.ca4 |
12480cj3 |
12480.ca |
12480cj |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.52 |
2Cs |
$3120$ |
$768$ |
$13$ |
$2.640917057$ |
$1$ |
|
$9$ |
$49152$ |
$1.535990$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -33281, 2129919]$ |
\(y^2=x^3+x^2-33281x+2129919\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.2, 24.96.0-24.b.1.6, 40.96.0-40.b.2.12, $\ldots$ |
$[(154, 825)]$ |
12675.j4 |
12675e3 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.48 |
2Cs |
$3120$ |
$768$ |
$13$ |
$8.311353991$ |
$1$ |
|
$2$ |
$387072$ |
$2.583462$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -2197088, -1149305344]$ |
\(y^2+xy+y=x^3+x^2-2197088x-1149305344\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.6, 24.96.0-24.b.1.19, 40.96.0-40.b.2.14, $\ldots$ |
$[(-3421/2, 85429/2)]$ |
15600.cj4 |
15600bz3 |
15600.cj |
15600bz |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.47 |
2Cs |
$3120$ |
$768$ |
$13$ |
$2.170397117$ |
$1$ |
|
$9$ |
$147456$ |
$1.994137$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -208008, 33383988]$ |
\(y^2=x^3+x^2-208008x+33383988\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.3, 20.48.0-4.b.1.1, 24.96.0-24.b.1.8, $\ldots$ |
$[(78, 4200)]$ |
23595.p4 |
23595n4 |
23595.p |
23595n |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$34320$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$122880$ |
$1.695217$ |
$15551989015681/1445900625$ |
$[1, 0, 1, -62923, 5560553]$ |
\(y^2+xy+y=x^3-62923x+5560553\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 44.48.0-4.b.1.1, $\ldots$ |
$[]$ |
28665.bm4 |
28665bq4 |
28665.bm |
28665bq |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$294912$ |
$2.018532$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -229329, -38669072]$ |
\(y^2+xy=x^3-x^2-229329x-38669072\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 56.48.0-4.b.1.4, $\ldots$ |
$[]$ |
37440.ef4 |
37440ex4 |
37440.ef |
37440ex |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.47 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$2.085297$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -299532, -57807344]$ |
\(y^2=x^3-299532x-57807344\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.3, 24.96.0-24.b.1.9, 40.96.0-40.b.2.3, $\ldots$ |
$[]$ |
37440.ep4 |
37440ca4 |
37440.ep |
37440ca |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.47 |
2Cs |
$3120$ |
$768$ |
$13$ |
$2.710728267$ |
$1$ |
|
$9$ |
$393216$ |
$2.085297$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -299532, 57807344]$ |
\(y^2=x^3-299532x+57807344\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.3, 24.96.0-24.b.1.5, 40.96.0-40.b.2.3, $\ldots$ |
$[(398, 1280)]$ |
38025.cm4 |
38025bb4 |
38025.cm |
38025bb |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{10} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.41 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$9$ |
$3$ |
$2$ |
$3096576$ |
$3.132771$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -19773792, 31011470491]$ |
\(y^2+xy=x^3-x^2-19773792x+31011470491\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.7, 24.96.0-24.b.1.20, 40.96.0-40.b.2.20, $\ldots$ |
$[]$ |
40560.h4 |
40560bg4 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.46 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$1032192$ |
$2.471893$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -1406136, 588444336]$ |
\(y^2=x^3-x^2-1406136x+588444336\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.10, 24.96.0-24.b.1.24, 40.96.0-40.b.2.18, $\ldots$ |
$[]$ |
46800.dh4 |
46800cw4 |
46800.dh |
46800cw |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.53 |
2Cs |
$3120$ |
$768$ |
$13$ |
$6.411274952$ |
$1$ |
|
$5$ |
$1179648$ |
$2.543442$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -1872075, -903239750]$ |
\(y^2=x^3-1872075x-903239750\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.9, 24.96.0-24.b.1.7, 40.96.0-40.b.2.4, $\ldots$ |
$[(29655, 5101250)]$ |
47775.df4 |
47775cp4 |
47775.df |
47775cp |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$2.273945$ |
$15551989015681/1445900625$ |
$[1, 0, 1, -637026, 179235823]$ |
\(y^2+xy+y=x^3-637026x+179235823\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 56.48.0-4.b.1.3, $\ldots$ |
$[]$ |
56355.b4 |
56355b4 |
56355.b |
56355b |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$53040$ |
$768$ |
$13$ |
$5.063879576$ |
$1$ |
|
$18$ |
$491520$ |
$1.912876$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -150286, -20607142]$ |
\(y^2+xy+y=x^3+x^2-150286x-20607142\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 68.48.0-4.b.1.1, $\ldots$ |
$[(664, 12817), (456, 2209)]$ |
62400.cw4 |
62400ep4 |
62400.cw |
62400ep |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.42 |
2Cs |
$3120$ |
$768$ |
$13$ |
$3.180395400$ |
$1$ |
|
$7$ |
$1179648$ |
$2.340710$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -832033, 267903937]$ |
\(y^2=x^3-x^2-832033x+267903937\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 24.96.0-24.b.1.3, 40.96.0-40.b.2.1, $\ldots$ |
$[(-627, 23296)]$ |
62400.fm4 |
62400cs4 |
62400.fm |
62400cs |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.42 |
2Cs |
$3120$ |
$768$ |
$13$ |
$2.760370192$ |
$1$ |
|
$9$ |
$1179648$ |
$2.340710$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -832033, -267903937]$ |
\(y^2=x^3+x^2-832033x-267903937\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.4, 24.96.0-24.b.1.3, 40.96.0-40.b.2.10, $\ldots$ |
$[(-557, 4800)]$ |
70395.n4 |
70395g4 |
70395.n |
70395g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$59280$ |
$768$ |
$13$ |
$5.664656793$ |
$1$ |
|
$4$ |
$663552$ |
$1.968489$ |
$15551989015681/1445900625$ |
$[1, 1, 0, -187727, 28603824]$ |
\(y^2+xy=x^3+x^2-187727x+28603824\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 76.48.0.?, $\ldots$ |
$[(54908, 12838586)]$ |
70785.i4 |
70785m4 |
70785.i |
70785m |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$34320$ |
$768$ |
$13$ |
$4.461314479$ |
$1$ |
|
$4$ |
$983040$ |
$2.244522$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -566303, -150134938]$ |
\(y^2+xy+y=x^3-x^2-566303x-150134938\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 88.48.0.?, $\ldots$ |
$[(873, 4063)]$ |
103155.e4 |
103155h4 |
103155.e |
103155h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$71760$ |
$768$ |
$13$ |
$3.411901240$ |
$1$ |
|
$18$ |
$1081344$ |
$2.064018$ |
$15551989015681/1445900625$ |
$[1, 0, 0, -275091, 50855400]$ |
\(y^2+xy=x^3-275091x+50855400\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 92.48.0.?, $\ldots$ |
$[(453, 4161), (504, 6096)]$ |
117975.n4 |
117975p4 |
117975.n |
117975p |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{10} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$34320$ |
$768$ |
$13$ |
$1.874201594$ |
$1$ |
|
$12$ |
$2949120$ |
$2.499935$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -1573063, 695069156]$ |
\(y^2+xy+y=x^3+x^2-1573063x+695069156\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 88.48.0.?, $\ldots$ |
$[(424, 10012)]$ |
121680.ef4 |
121680eo4 |
121680.ef |
121680eo |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.48 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$3.021198$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -12655227, -15875341846]$ |
\(y^2=x^3-12655227x-15875341846\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.6, 24.96.0-24.b.1.13, 40.96.0-40.b.2.16, $\ldots$ |
$[]$ |
124215.cj4 |
124215bd4 |
124215.cj |
124215bd |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$4.153643812$ |
$1$ |
|
$4$ |
$6193152$ |
$2.751701$ |
$15551989015681/1445900625$ |
$[1, 1, 0, -4306292, 3149387571]$ |
\(y^2+xy=x^3+x^2-4306292x+3149387571\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 56.48.0-4.b.1.2, $\ldots$ |
$[(762, 17259)]$ |
143325.z4 |
143325bi4 |
143325.z |
143325bi |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$7077888$ |
$2.823250$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -5733230, -4839367228]$ |
\(y^2+xy+y=x^3-x^2-5733230x-4839367228\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 56.48.0-4.b.1.8, $\ldots$ |
$[]$ |
152880.em4 |
152880bu4 |
152880.em |
152880bu |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$4.514926858$ |
$1$ |
|
$25$ |
$2359296$ |
$2.162373$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -407696, -91931820]$ |
\(y^2=x^3+x^2-407696x-91931820\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 28.48.0-4.b.1.1, 40.48.0.b.2, $\ldots$ |
$[(772, 7350), (-404, 2646)]$ |
162240.dh4 |
162240hc4 |
162240.dh |
162240hc |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.46 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$8257536$ |
$2.818466$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -5624545, -4701930143]$ |
\(y^2=x^3-x^2-5624545x-4701930143\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.10, 24.96.0-24.b.1.21, 40.96.0-40.b.2.13, $\ldots$ |
$[]$ |
162240.he4 |
162240k3 |
162240.he |
162240k |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.43 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.818466$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -5624545, 4701930143]$ |
\(y^2=x^3+x^2-5624545x+4701930143\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.1, 24.96.0-24.b.1.17, 40.96.0-40.b.2.22, $\ldots$ |
$[]$ |
163995.t4 |
163995y4 |
163995.t |
163995y |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$90480$ |
$768$ |
$13$ |
$4.902415562$ |
$1$ |
|
$2$ |
$2408448$ |
$2.179916$ |
$15551989015681/1445900625$ |
$[1, 1, 0, -437337, -102168864]$ |
\(y^2+xy=x^3+x^2-437337x-102168864\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(-1201/2, 13031/2)]$ |
169065.bi4 |
169065x3 |
169065.bi |
169065x |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$53040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$3932160$ |
$2.462181$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -1352574, 555040255]$ |
\(y^2+xy=x^3-x^2-1352574x+555040255\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[]$ |
187200.hl4 |
187200eh4 |
187200.hl |
187200eh |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{10} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.54 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$9437184$ |
$2.890015$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -7488300, -7225918000]$ |
\(y^2=x^3-7488300x-7225918000\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.8, 24.96.0-24.b.1.4, 40.96.0-40.b.2.7, $\ldots$ |
$[]$ |
187200.ji4 |
187200mt3 |
187200.ji |
187200mt |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.54 |
2Cs |
$3120$ |
$768$ |
$13$ |
$4.286351898$ |
$1$ |
|
$7$ |
$9437184$ |
$2.890015$ |
$15551989015681/1445900625$ |
$[0, 0, 0, -7488300, 7225918000]$ |
\(y^2=x^3-7488300x+7225918000\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.8, 24.96.0-24.b.1.4, 40.96.0-40.b.2.7, $\ldots$ |
$[(-2779, 81081)]$ |
187395.g4 |
187395h3 |
187395.g |
187395h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$96720$ |
$768$ |
$13$ |
$1.748058027$ |
$1$ |
|
$8$ |
$2764800$ |
$2.213264$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -499740, 124367772]$ |
\(y^2+xy+y=x^3+x^2-499740x+124367772\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(152, 7131)]$ |
202800.ie4 |
202800cg3 |
202800.ie |
202800cg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.48 |
2Cs |
$3120$ |
$768$ |
$13$ |
$7.024266434$ |
$1$ |
|
$3$ |
$24772608$ |
$3.276611$ |
$15551989015681/1445900625$ |
$[0, 1, 0, -35153408, 73485235188]$ |
\(y^2=x^3+x^2-35153408x+73485235188\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.6, 24.96.0-24.b.1.19, 40.96.0-40.b.2.21, $\ldots$ |
$[(53452/3, 7356250/3)]$ |
211185.g4 |
211185l4 |
211185.g |
211185l |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$59280$ |
$768$ |
$13$ |
$4.111075321$ |
$1$ |
|
$6$ |
$5308416$ |
$2.517796$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -1689548, -773992794]$ |
\(y^2+xy+y=x^3-x^2-1689548x-773992794\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(-865, 6732)]$ |
266955.w4 |
266955w4 |
266955.w |
266955w |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 37^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$115440$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$4866048$ |
$2.301727$ |
$15551989015681/1445900625$ |
$[1, 0, 1, -711909, -211873229]$ |
\(y^2+xy+y=x^3-711909x-211873229\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[]$ |
281775.bz4 |
281775bz4 |
281775.bz |
281775bz |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$53040$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$11796480$ |
$2.717594$ |
$15551989015681/1445900625$ |
$[1, 0, 1, -3757151, -2568378427]$ |
\(y^2+xy+y=x^3-3757151x-2568378427\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[]$ |
306735.p4 |
306735p3 |
306735.p |
306735p |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$34320$ |
$768$ |
$13$ |
$5.465092990$ |
$1$ |
|
$4$ |
$20643840$ |
$2.977692$ |
$15551989015681/1445900625$ |
$[1, 0, 0, -10633906, 12227169395]$ |
\(y^2+xy=x^3-10633906x+12227169395\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 88.48.0.?, $\ldots$ |
$[(2618, 46991)]$ |
309465.bg4 |
309465bg4 |
309465.bg |
309465bg |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$71760$ |
$768$ |
$13$ |
$6.353718871$ |
$1$ |
|
$4$ |
$8650752$ |
$2.613323$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -2475819, -1373095800]$ |
\(y^2+xy=x^3-x^2-2475819x-1373095800\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(58116, 13975842)]$ |
327795.d4 |
327795d4 |
327795.d |
327795d |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 41^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 41^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$127920$ |
$768$ |
$13$ |
$13.96681473$ |
$1$ |
|
$12$ |
$6635520$ |
$2.353054$ |
$15551989015681/1445900625$ |
$[1, 1, 1, -874155, -288568800]$ |
\(y^2+xy+y=x^3+x^2-874155x-288568800\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(-612, 4508), (825478/19, 666828302/19)]$ |
351975.q4 |
351975q3 |
351975.q |
351975q |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$59280$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$15925248$ |
$2.773209$ |
$15551989015681/1445900625$ |
$[1, 0, 0, -4693188, 3584864367]$ |
\(y^2+xy=x^3-4693188x+3584864367\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[]$ |
353925.da4 |
353925da4 |
353925.da |
353925da |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{10} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$34320$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$23592960$ |
$3.049244$ |
$15551989015681/1445900625$ |
$[1, -1, 0, -14157567, -18781024784]$ |
\(y^2+xy=x^3-x^2-14157567x-18781024784\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 88.48.0.?, $\ldots$ |
$[]$ |
360555.l4 |
360555l3 |
360555.l |
360555l |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \cdot 43^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$134160$ |
$768$ |
$13$ |
$8.979293057$ |
$1$ |
|
$2$ |
$7741440$ |
$2.376869$ |
$15551989015681/1445900625$ |
$[1, 1, 0, -961518, 332071047]$ |
\(y^2+xy=x^3+x^2-961518x+332071047\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 104.48.0.?, $\ldots$ |
$[(260014/17, 66620981/17)]$ |
372645.bl4 |
372645bl4 |
372645.bl |
372645bl |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$8.382294182$ |
$1$ |
|
$4$ |
$49545216$ |
$3.301006$ |
$15551989015681/1445900625$ |
$[1, -1, 1, -38756633, -85072221048]$ |
\(y^2+xy+y=x^3-x^2-38756633x-85072221048\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 40.48.0.b.2, 56.48.0-4.b.1.6, $\ldots$ |
$[(3574685, 6756800493)]$ |