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 |
129.b2 |
129b1 |
129.b |
129b |
$4$ |
$4$ |
\( 3 \cdot 43 \) |
\( 3^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15$ |
$-0.129747$ |
$2845178713/1347921$ |
$0.95310$ |
$4.47937$ |
$[1, 0, 1, -30, -29]$ |
\(y^2+xy+y=x^3-30x-29\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 172.24.0.?, 516.48.0.? |
$[]$ |
387.a2 |
387d2 |
387.a |
387d |
$4$ |
$4$ |
\( 3^{2} \cdot 43 \) |
\( 3^{12} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$120$ |
$0.419559$ |
$2845178713/1347921$ |
$0.95310$ |
$4.75974$ |
$[1, -1, 1, -266, 776]$ |
\(y^2+xy+y=x^3-x^2-266x+776\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 172.24.0.?, 516.48.0.? |
$[]$ |
2064.e2 |
2064i2 |
2064.e |
2064i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43 \) |
\( 2^{12} \cdot 3^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$2.393619927$ |
$1$ |
|
$7$ |
$960$ |
$0.563400$ |
$2845178713/1347921$ |
$0.95310$ |
$3.94196$ |
$[0, -1, 0, -472, 1840]$ |
\(y^2=x^3-x^2-472x+1840\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 172.24.0.?, 516.48.0.? |
$[(2, 30)]$ |
3225.b2 |
3225c2 |
3225.b |
3225c |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 43 \) |
\( 3^{6} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1920$ |
$0.674973$ |
$2845178713/1347921$ |
$0.95310$ |
$3.88993$ |
$[1, 1, 1, -738, -3594]$ |
\(y^2+xy+y=x^3+x^2-738x-3594\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[]$ |
5547.b2 |
5547a2 |
5547.b |
5547a |
$4$ |
$4$ |
\( 3 \cdot 43^{2} \) |
\( 3^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$27720$ |
$1.750853$ |
$2845178713/1347921$ |
$0.95310$ |
$5.14279$ |
$[1, 1, 1, -54584, 2067536]$ |
\(y^2+xy+y=x^3+x^2-54584x+2067536\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.? |
$[]$ |
6192.g2 |
6192x2 |
6192.g |
6192x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{12} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$1.112707$ |
$2845178713/1347921$ |
$0.95310$ |
$4.20092$ |
$[0, 0, 0, -4251, -45430]$ |
\(y^2=x^3-4251x-45430\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 172.24.0.?, 516.48.0.? |
$[]$ |
6321.f2 |
6321a2 |
6321.f |
6321a |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 43 \) |
\( 3^{6} \cdot 7^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5760$ |
$0.843208$ |
$2845178713/1347921$ |
$0.95310$ |
$3.82150$ |
$[1, 1, 0, -1446, 8415]$ |
\(y^2+xy=x^3+x^2-1446x+8415\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
8256.f2 |
8256j2 |
8256.f |
8256j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$0.909974$ |
$2845178713/1347921$ |
$0.95310$ |
$3.79717$ |
$[0, -1, 0, -1889, -12831]$ |
\(y^2=x^3-x^2-1889x-12831\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[]$ |
8256.ba2 |
8256bm2 |
8256.ba |
8256bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1.777564832$ |
$1$ |
|
$9$ |
$7680$ |
$0.909974$ |
$2845178713/1347921$ |
$0.95310$ |
$3.79717$ |
$[0, 1, 0, -1889, 12831]$ |
\(y^2=x^3+x^2-1889x+12831\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 172.12.0.?, $\ldots$ |
$[(82, 645)]$ |
9675.s2 |
9675m2 |
9675.s |
9675m |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{12} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$4.141902573$ |
$1$ |
|
$4$ |
$15360$ |
$1.224277$ |
$2845178713/1347921$ |
$0.95310$ |
$4.14252$ |
$[1, -1, 0, -6642, 90391]$ |
\(y^2+xy=x^3-x^2-6642x+90391\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[(51/2, 649/2)]$ |
15609.e2 |
15609j2 |
15609.e |
15609j |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 43 \) |
\( 3^{6} \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5676$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$21600$ |
$1.069201$ |
$2845178713/1347921$ |
$0.95310$ |
$3.74459$ |
$[1, 0, 0, -3572, 34695]$ |
\(y^2+xy=x^3-3572x+34695\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
16641.k2 |
16641j2 |
16641.k |
16641j |
$4$ |
$4$ |
\( 3^{2} \cdot 43^{2} \) |
\( 3^{12} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$516$ |
$48$ |
$0$ |
$35.28282659$ |
$1$ |
|
$2$ |
$221760$ |
$2.300159$ |
$2845178713/1347921$ |
$0.95310$ |
$5.23968$ |
$[1, -1, 0, -491256, -56314733]$ |
\(y^2+xy=x^3-x^2-491256x-56314733\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 172.24.0.?, 516.48.0.? |
$[(-1917695460018742/2993263, 170335772155843480929413/2993263)]$ |
18963.c2 |
18963h2 |
18963.c |
18963h |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{12} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$3.805091414$ |
$1$ |
|
$6$ |
$46080$ |
$1.392515$ |
$2845178713/1347921$ |
$0.95310$ |
$4.06447$ |
$[1, -1, 1, -13019, -240222]$ |
\(y^2+xy+y=x^3-x^2-13019x-240222\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$ |
$[(-94, 429)]$ |
21801.d2 |
21801g2 |
21801.d |
21801g |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \cdot 43 \) |
\( 3^{6} \cdot 13^{6} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6708$ |
$48$ |
$0$ |
$3.022482235$ |
$1$ |
|
$18$ |
$34560$ |
$1.152727$ |
$2845178713/1347921$ |
$0.95310$ |
$3.71969$ |
$[1, 0, 0, -4989, -58176]$ |
\(y^2+xy=x^3-4989x-58176\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$ |
$[(-51, 279), (-15, 123)]$ |
24768.ce2 |
24768bc2 |
24768.ce |
24768bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$6.720479767$ |
$1$ |
|
$3$ |
$61440$ |
$1.459280$ |
$2845178713/1347921$ |
$0.95310$ |
$4.03637$ |
$[0, 0, 0, -17004, 363440]$ |
\(y^2=x^3-17004x+363440\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[(-860/3, 28520/3)]$ |
24768.cf2 |
24768cc2 |
24768.cf |
24768cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{12} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$7.561261291$ |
$1$ |
|
$3$ |
$61440$ |
$1.459280$ |
$2845178713/1347921$ |
$0.95310$ |
$4.03637$ |
$[0, 0, 0, -17004, -363440]$ |
\(y^2=x^3-17004x-363440\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 172.12.0.?, $\ldots$ |
$[(-3462/11, 420160/11)]$ |
37281.b2 |
37281b2 |
37281.b |
37281b |
$4$ |
$4$ |
\( 3 \cdot 17^{2} \cdot 43 \) |
\( 3^{6} \cdot 17^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8772$ |
$48$ |
$0$ |
$7.742078964$ |
$1$ |
|
$2$ |
$69120$ |
$1.286860$ |
$2845178713/1347921$ |
$0.95310$ |
$3.68300$ |
$[1, 1, 0, -8531, -132720]$ |
\(y^2+xy=x^3+x^2-8531x-132720\) |
2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 172.12.0.?, 204.24.0.?, $\ldots$ |
$[(-3188/13, 346146/13)]$ |
46569.c2 |
46569c2 |
46569.c |
46569c |
$4$ |
$4$ |
\( 3 \cdot 19^{2} \cdot 43 \) |
\( 3^{6} \cdot 19^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9804$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$103680$ |
$1.342472$ |
$2845178713/1347921$ |
$0.95310$ |
$3.66887$ |
$[1, 1, 1, -10657, 175886]$ |
\(y^2+xy+y=x^3+x^2-10657x+175886\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
46827.o2 |
46827q2 |
46827.o |
46827q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 43 \) |
\( 3^{12} \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5676$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$172800$ |
$1.618507$ |
$2845178713/1347921$ |
$0.95310$ |
$3.97499$ |
$[1, -1, 0, -32148, -936765]$ |
\(y^2+xy=x^3-x^2-32148x-936765\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
51600.da2 |
51600cq2 |
51600.da |
51600cq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1.186460779$ |
$1$ |
|
$13$ |
$122880$ |
$1.368120$ |
$2845178713/1347921$ |
$0.95310$ |
$3.66254$ |
$[0, 1, 0, -11808, 206388]$ |
\(y^2=x^3+x^2-11808x+206388\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 172.12.0.?, $\ldots$ |
$[(12, 258)]$ |
65403.m2 |
65403f2 |
65403.m |
65403f |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 43 \) |
\( 3^{12} \cdot 13^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6708$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$276480$ |
$1.702034$ |
$2845178713/1347921$ |
$0.95310$ |
$3.94562$ |
$[1, -1, 0, -44901, 1570752]$ |
\(y^2+xy=x^3-x^2-44901x+1570752\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
68241.h2 |
68241i2 |
68241.h |
68241i |
$4$ |
$4$ |
\( 3 \cdot 23^{2} \cdot 43 \) |
\( 3^{6} \cdot 23^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11868$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$184800$ |
$1.438000$ |
$2845178713/1347921$ |
$0.95310$ |
$3.64591$ |
$[1, 0, 1, -15617, 318575]$ |
\(y^2+xy+y=x^3-15617x+318575\) |
2.6.0.a.1, 12.12.0.b.1, 92.12.0.?, 172.12.0.?, 276.24.0.?, $\ldots$ |
$[]$ |
88752.z2 |
88752bg2 |
88752.z |
88752bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1774080$ |
$2.444000$ |
$2845178713/1347921$ |
$0.95310$ |
$4.62135$ |
$[0, 1, 0, -873344, -134069004]$ |
\(y^2=x^3+x^2-873344x-134069004\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.? |
$[]$ |
101136.bx2 |
101136da2 |
101136.bx |
101136da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$1.710049995$ |
$1$ |
|
$9$ |
$368640$ |
$1.536356$ |
$2845178713/1347921$ |
$0.95310$ |
$3.62386$ |
$[0, 1, 0, -23144, -584844]$ |
\(y^2=x^3+x^2-23144x-584844\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$ |
$[(-89, 882)]$ |
108489.d2 |
108489a2 |
108489.d |
108489a |
$4$ |
$4$ |
\( 3 \cdot 29^{2} \cdot 43 \) |
\( 3^{6} \cdot 29^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$14964$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$362880$ |
$1.553902$ |
$2845178713/1347921$ |
$0.95310$ |
$3.62008$ |
$[1, 1, 1, -24827, -651544]$ |
\(y^2+xy+y=x^3+x^2-24827x-651544\) |
2.6.0.a.1, 12.12.0.b.1, 116.12.0.?, 172.12.0.?, 348.24.0.?, $\ldots$ |
$[]$ |
111843.e2 |
111843h2 |
111843.e |
111843h |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \cdot 43 \) |
\( 3^{12} \cdot 17^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8772$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$552960$ |
$1.836166$ |
$2845178713/1347921$ |
$0.95310$ |
$3.90197$ |
$[1, -1, 1, -76784, 3506658]$ |
\(y^2+xy+y=x^3-x^2-76784x+3506658\) |
2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 172.12.0.?, 204.24.0.?, $\ldots$ |
$[]$ |
123969.c2 |
123969a2 |
123969.c |
123969a |
$4$ |
$4$ |
\( 3 \cdot 31^{2} \cdot 43 \) |
\( 3^{6} \cdot 31^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15996$ |
$48$ |
$0$ |
$21.60094346$ |
$1$ |
|
$2$ |
$432000$ |
$1.587248$ |
$2845178713/1347921$ |
$0.95310$ |
$3.61303$ |
$[1, 1, 0, -28369, 771400]$ |
\(y^2+xy=x^3+x^2-28369x+771400\) |
2.6.0.a.1, 12.12.0.b.1, 124.12.0.?, 172.12.0.?, 372.24.0.?, $\ldots$ |
$[(72699782231/5450, 19362926544520279/5450)]$ |
138675.t2 |
138675q2 |
138675.t |
138675q |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$11.73892125$ |
$1$ |
|
$2$ |
$3548160$ |
$2.555573$ |
$2845178713/1347921$ |
$0.95310$ |
$4.56024$ |
$[1, 0, 1, -1364601, 261171223]$ |
\(y^2+xy+y=x^3-1364601x+261171223\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.3, 172.12.0.?, $\ldots$ |
$[(-220393/46, 1957024971/46)]$ |
139707.w2 |
139707v2 |
139707.w |
139707v |
$4$ |
$4$ |
\( 3^{2} \cdot 19^{2} \cdot 43 \) |
\( 3^{12} \cdot 19^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9804$ |
$48$ |
$0$ |
$11.50656808$ |
$1$ |
|
$2$ |
$829440$ |
$1.891779$ |
$2845178713/1347921$ |
$0.95310$ |
$3.88504$ |
$[1, -1, 0, -95913, -4844840]$ |
\(y^2+xy=x^3-x^2-95913x-4844840\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$ |
$[(-87604/31, 54103478/31)]$ |
154800.dj2 |
154800cl2 |
154800.dj |
154800cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$2.945599584$ |
$1$ |
|
$9$ |
$983040$ |
$1.917425$ |
$2845178713/1347921$ |
$0.95310$ |
$3.87744$ |
$[0, 0, 0, -106275, -5678750]$ |
\(y^2=x^3-106275x-5678750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 172.12.0.?, $\ldots$ |
$[(431, 5346)]$ |
158025.n2 |
158025g2 |
158025.n |
158025g |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$18060$ |
$48$ |
$0$ |
$1.974629530$ |
$1$ |
|
$28$ |
$737280$ |
$1.647928$ |
$2845178713/1347921$ |
$0.95310$ |
$3.60060$ |
$[1, 0, 0, -36163, 1124192]$ |
\(y^2+xy=x^3-36163x+1124192\) |
2.6.0.a.1, 12.12.0.b.1, 140.12.0.?, 172.12.0.?, 420.24.0.?, $\ldots$ |
$[(-73, 1874), (221, 1874)]$ |
176601.a2 |
176601a2 |
176601.a |
176601a |
$4$ |
$4$ |
\( 3 \cdot 37^{2} \cdot 43 \) |
\( 3^{6} \cdot 37^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19092$ |
$48$ |
$0$ |
$4.574676459$ |
$1$ |
|
$6$ |
$760320$ |
$1.675713$ |
$2845178713/1347921$ |
$0.95310$ |
$3.59507$ |
$[1, 0, 0, -40414, -1335061]$ |
\(y^2+xy=x^3-40414x-1335061\) |
2.6.0.a.1, 12.12.0.b.1, 148.12.0.?, 172.12.0.?, 444.24.0.?, $\ldots$ |
$[(-181, 332)]$ |
204723.l2 |
204723j2 |
204723.l |
204723j |
$4$ |
$4$ |
\( 3^{2} \cdot 23^{2} \cdot 43 \) |
\( 3^{12} \cdot 23^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11868$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1478400$ |
$1.987307$ |
$2845178713/1347921$ |
$0.95310$ |
$3.85738$ |
$[1, -1, 1, -140549, -8601532]$ |
\(y^2+xy+y=x^3-x^2-140549x-8601532\) |
2.6.0.a.1, 12.12.0.b.1, 92.12.0.?, 172.12.0.?, 276.24.0.?, $\ldots$ |
$[]$ |
206400.cq2 |
206400em2 |
206400.cq |
206400em |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$4.188281251$ |
$1$ |
|
$7$ |
$983040$ |
$1.714693$ |
$2845178713/1347921$ |
$0.95310$ |
$3.58749$ |
$[0, -1, 0, -47233, 1698337]$ |
\(y^2=x^3-x^2-47233x+1698337\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[(-208, 1575)]$ |
206400.ic2 |
206400hc2 |
206400.ic |
206400hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$1.714693$ |
$2845178713/1347921$ |
$0.95310$ |
$3.58749$ |
$[0, 1, 0, -47233, -1698337]$ |
\(y^2=x^3+x^2-47233x-1698337\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
216849.q2 |
216849q2 |
216849.q |
216849q |
$4$ |
$4$ |
\( 3 \cdot 41^{2} \cdot 43 \) |
\( 3^{6} \cdot 41^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$21156$ |
$48$ |
$0$ |
$27.97022411$ |
$1$ |
|
$2$ |
$1056000$ |
$1.727039$ |
$2845178713/1347921$ |
$0.95310$ |
$3.58513$ |
$[1, 1, 0, -49624, -1832645]$ |
\(y^2+xy=x^3+x^2-49624x-1832645\) |
2.6.0.a.1, 12.12.0.b.1, 164.12.0.?, 172.12.0.?, 492.24.0.?, $\ldots$ |
$[(-6344061016698/187493, 8069298309569699897/187493)]$ |
249744.bh2 |
249744bh2 |
249744.bh |
249744bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5676$ |
$48$ |
$0$ |
$6.981355825$ |
$1$ |
|
$3$ |
$1382400$ |
$1.762348$ |
$2845178713/1347921$ |
$0.95310$ |
$3.57848$ |
$[0, -1, 0, -57152, -2220480]$ |
\(y^2=x^3-x^2-57152x-2220480\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$ |
$[(149290/7, 57493150/7)]$ |
266256.ck2 |
266256ck2 |
266256.ck |
266256ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$14192640$ |
$2.993305$ |
$2845178713/1347921$ |
$0.95310$ |
$4.74260$ |
$[0, 0, 0, -7860099, 3612003010]$ |
\(y^2=x^3-7860099x+3612003010\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 172.24.0.?, 516.48.0.? |
$[]$ |
271803.h2 |
271803h2 |
271803.h |
271803h |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 43^{2} \) |
\( 3^{6} \cdot 7^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$10644480$ |
$2.723808$ |
$2845178713/1347921$ |
$0.95310$ |
$4.47633$ |
$[1, 0, 0, -2674617, -717188760]$ |
\(y^2+xy=x^3-2674617x-717188760\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
284961.g2 |
284961g2 |
284961.g |
284961g |
$4$ |
$4$ |
\( 3 \cdot 43 \cdot 47^{2} \) |
\( 3^{6} \cdot 43^{2} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$24252$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1578720$ |
$1.795326$ |
$2845178713/1347921$ |
$0.95310$ |
$3.57240$ |
$[1, 0, 1, -65212, 2724125]$ |
\(y^2+xy+y=x^3-65212x+2724125\) |
2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 188.12.0.?, 516.24.0.?, $\ldots$ |
$[]$ |
303408.dt2 |
303408dt2 |
303408.dt |
303408dt |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$4.793148689$ |
$1$ |
|
$5$ |
$2949120$ |
$2.085663$ |
$2845178713/1347921$ |
$0.95310$ |
$3.83066$ |
$[0, 0, 0, -208299, 15582490]$ |
\(y^2=x^3-208299x+15582490\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$ |
$[(3213, 180320)]$ |
325467.m2 |
325467m2 |
325467.m |
325467m |
$4$ |
$4$ |
\( 3^{2} \cdot 29^{2} \cdot 43 \) |
\( 3^{12} \cdot 29^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$14964$ |
$48$ |
$0$ |
$7.410604279$ |
$1$ |
|
$2$ |
$2903040$ |
$2.103207$ |
$2845178713/1347921$ |
$0.95310$ |
$3.82607$ |
$[1, -1, 0, -223443, 17368240]$ |
\(y^2+xy=x^3-x^2-223443x+17368240\) |
2.6.0.a.1, 12.12.0.b.1, 116.12.0.?, 172.12.0.?, 348.24.0.?, $\ldots$ |
$[(3099/10, 3220673/10)]$ |
348816.i2 |
348816i2 |
348816.i |
348816i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{6} \cdot 13^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6708$ |
$48$ |
$0$ |
$3.573454924$ |
$1$ |
|
$5$ |
$2211840$ |
$1.845875$ |
$2845178713/1347921$ |
$0.95310$ |
$3.56334$ |
$[0, -1, 0, -79824, 3723264]$ |
\(y^2=x^3-x^2-79824x+3723264\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$ |
$[(373, 5070)]$ |
355008.bu2 |
355008bu2 |
355008.bu |
355008bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$30.36870333$ |
$1$ |
|
$3$ |
$14192640$ |
$2.790573$ |
$2845178713/1347921$ |
$0.95310$ |
$4.44548$ |
$[0, -1, 0, -3493377, -1069058655]$ |
\(y^2=x^3-x^2-3493377x-1069058655\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 172.12.0.?, $\ldots$ |
$[(-68291131581635/243947, 548453474871712146240/243947)]$ |
355008.dz2 |
355008dz2 |
355008.dz |
355008dz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$16.03735757$ |
$1$ |
|
$3$ |
$14192640$ |
$2.790573$ |
$2845178713/1347921$ |
$0.95310$ |
$4.44548$ |
$[0, 1, 0, -3493377, 1069058655]$ |
\(y^2=x^3+x^2-3493377x+1069058655\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 172.12.0.?, $\ldots$ |
$[(-21741183/187, 358229432160/187)]$ |
362361.a2 |
362361a2 |
362361.a |
362361a |
$4$ |
$4$ |
\( 3 \cdot 43 \cdot 53^{2} \) |
\( 3^{6} \cdot 43^{2} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$27348$ |
$48$ |
$0$ |
$3.929163336$ |
$1$ |
|
$6$ |
$2271360$ |
$1.855400$ |
$2845178713/1347921$ |
$0.95310$ |
$3.56166$ |
$[1, 1, 1, -82924, -3948604]$ |
\(y^2+xy+y=x^3+x^2-82924x-3948604\) |
2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 212.12.0.?, 516.24.0.?, $\ldots$ |
$[(-218, 2065)]$ |
371907.a2 |
371907a2 |
371907.a |
371907a |
$4$ |
$4$ |
\( 3^{2} \cdot 31^{2} \cdot 43 \) |
\( 3^{12} \cdot 31^{6} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15996$ |
$48$ |
$0$ |
$18.14347501$ |
$1$ |
|
$12$ |
$3456000$ |
$2.136555$ |
$2845178713/1347921$ |
$0.95310$ |
$3.81748$ |
$[1, -1, 1, -255326, -21083124]$ |
\(y^2+xy+y=x^3-x^2-255326x-21083124\) |
2.6.0.a.1, 12.12.0.b.1, 124.12.0.?, 172.12.0.?, 372.24.0.?, $\ldots$ |
$[(-328, 5388), (1301119/45, 784788488/45)]$ |
390225.bc2 |
390225bc2 |
390225.bc |
390225bc |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \) |
\( 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$28380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2764800$ |
$1.873920$ |
$2845178713/1347921$ |
$0.95310$ |
$3.55843$ |
$[1, 1, 0, -89300, 4336875]$ |
\(y^2+xy=x^3+x^2-89300x+4336875\) |
2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 220.12.0.?, 516.24.0.?, $\ldots$ |
$[]$ |
404544.de2 |
404544de2 |
404544.de |
404544de |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7224$ |
$48$ |
$0$ |
$7.889641117$ |
$1$ |
|
$3$ |
$2949120$ |
$1.882929$ |
$2845178713/1347921$ |
$0.95310$ |
$3.55687$ |
$[0, -1, 0, -92577, -4586175]$ |
\(y^2=x^3-x^2-92577x-4586175\) |
2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 168.24.0.?, 172.12.0.?, $\ldots$ |
$[(-3439/8, 245735/8)]$ |
404544.hb2 |
404544hb2 |
404544.hb |
404544hb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2949120$ |
$1.882929$ |
$2845178713/1347921$ |
$0.95310$ |
$3.55687$ |
$[0, 1, 0, -92577, 4586175]$ |
\(y^2=x^3+x^2-92577x+4586175\) |
2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 168.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |