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 |
78.a2 |
78a3 |
78.a |
78a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$160$ |
$0.968078$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$8.00758$ |
$[1, 1, 0, -2339, -15747]$ |
\(y^2+xy=x^3+x^2-2339x-15747\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
234.c2 |
234d4 |
234.c |
234d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{26} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1280$ |
$1.517384$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$7.60329$ |
$[1, -1, 1, -21056, 404115]$ |
\(y^2+xy+y=x^3-x^2-21056x+404115\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[]$ |
624.h2 |
624i4 |
624.h |
624i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{20} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3840$ |
$1.661224$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.71278$ |
$[0, 1, 0, -37432, 932948]$ |
\(y^2=x^3+x^2-37432x+932948\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ |
$[]$ |
1014.d2 |
1014e3 |
1014.d |
1014e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$2.250553$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$7.26364$ |
$[1, 1, 1, -395379, -32619423]$ |
\(y^2+xy+y=x^3+x^2-395379x-32619423\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
1872.c2 |
1872r3 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{26} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.210529$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.60885$ |
$[0, 0, 0, -336891, -25526486]$ |
\(y^2=x^3-336891x-25526486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
1950.w2 |
1950v3 |
1950.w |
1950v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$0.342717111$ |
$1$ |
|
$10$ |
$20480$ |
$1.772797$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.87985$ |
$[1, 0, 0, -58488, -1851408]$ |
\(y^2+xy=x^3-58488x-1851408\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[(-42, 750)]$ |
2496.b2 |
2496u4 |
2496.b |
2496u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.007797$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.05480$ |
$[0, -1, 0, -149729, 7613313]$ |
\(y^2=x^3-x^2-149729x+7613313\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 26.6.0.b.1, $\ldots$ |
$[]$ |
2496.t2 |
2496j3 |
2496.t |
2496j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.007797$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.05480$ |
$[0, 1, 0, -149729, -7613313]$ |
\(y^2=x^3+x^2-149729x-7613313\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 26.6.0.b.1, $\ldots$ |
$[]$ |
3042.f2 |
3042d4 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.799858$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$7.09054$ |
$[1, -1, 0, -3558411, 877166005]$ |
\(y^2+xy=x^3-x^2-3558411x+877166005\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[]$ |
3822.j2 |
3822m4 |
3822.j |
3822m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{20} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.451539702$ |
$1$ |
|
$10$ |
$46080$ |
$1.941032$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.64491$ |
$[1, 0, 1, -114637, 5057336]$ |
\(y^2+xy+y=x^3-114637x+5057336\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-17, 2654)]$ |
5850.d2 |
5850m4 |
5850.d |
5850m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{26} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$163840$ |
$2.322102$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.89507$ |
$[1, -1, 0, -526392, 49988016]$ |
\(y^2+xy=x^3-x^2-526392x+49988016\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
7488.bk2 |
7488bt3 |
7488.bk |
7488bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{26} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$14.51375923$ |
$1$ |
|
$1$ |
$245760$ |
$2.557106$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.04805$ |
$[0, 0, 0, -1347564, -204211888]$ |
\(y^2=x^3-1347564x-204211888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 26.6.0.b.1, $\ldots$ |
$[(-2118544/55, 3310989604/55)]$ |
7488.bz2 |
7488o4 |
7488.bz |
7488o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{26} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$245760$ |
$2.557106$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.04805$ |
$[0, 0, 0, -1347564, 204211888]$ |
\(y^2=x^3-1347564x+204211888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 26.6.0.b.1, $\ldots$ |
$[]$ |
8112.v2 |
8112bg4 |
8112.v |
8112bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$2.214040045$ |
$1$ |
|
$7$ |
$645120$ |
$2.943699$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.50967$ |
$[0, 1, 0, -6326064, 2074990932]$ |
\(y^2=x^3+x^2-6326064x+2074990932\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ |
$[(306, 12960)]$ |
9438.t2 |
9438u4 |
9438.t |
9438u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{20} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$5.907806711$ |
$1$ |
|
$0$ |
$204800$ |
$2.167027$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.38367$ |
$[1, 1, 1, -283082, 19543943]$ |
\(y^2+xy+y=x^3+x^2-283082x+19543943\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(5191/3, 180355/3)]$ |
11466.cj2 |
11466bz3 |
11466.cj |
11466bz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{26} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$368640$ |
$2.490337$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.68664$ |
$[1, -1, 1, -1031729, -136548079]$ |
\(y^2+xy+y=x^3-x^2-1031729x-136548079\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
15600.bk2 |
15600bd4 |
15600.bk |
15600bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$2.465942$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.47498$ |
$[0, -1, 0, -935808, 118490112]$ |
\(y^2=x^3-x^2-935808x+118490112\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
22542.j2 |
22542n3 |
22542.j |
22542n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$0.468848160$ |
$1$ |
|
$10$ |
$819200$ |
$2.384686$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.17662$ |
$[1, 0, 1, -676122, -72632516]$ |
\(y^2+xy+y=x^3-676122x-72632516\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-418, 11913)]$ |
24336.bz2 |
24336bs3 |
24336.bz |
24336bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{26} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$7.967410010$ |
$1$ |
|
$1$ |
$5160960$ |
$3.493004$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.45423$ |
$[0, 0, 0, -56934579, -56081689742]$ |
\(y^2=x^3-56934579x-56081689742\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[(-152191/11, 154874304/11)]$ |
25350.bt2 |
25350bg3 |
25350.bt |
25350bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3440640$ |
$3.055271$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.91024$ |
$[1, 0, 1, -9884476, -4057658902]$ |
\(y^2+xy+y=x^3-9884476x-4057658902\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
28158.u2 |
28158r3 |
28158.u |
28158r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$2.440296$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.12936$ |
$[1, 0, 0, -844567, 101252633]$ |
\(y^2+xy=x^3-844567x+101252633\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
28314.d2 |
28314u3 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{26} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$5.065120795$ |
$1$ |
|
$2$ |
$1638400$ |
$2.716331$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.44973$ |
$[1, -1, 0, -2547738, -530234204]$ |
\(y^2+xy=x^3-x^2-2547738x-530234204\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-723, 30914)]$ |
30576.l2 |
30576br3 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{20} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.721486898$ |
$1$ |
|
$3$ |
$1105920$ |
$2.634178$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.31372$ |
$[0, -1, 0, -1834184, -323669520]$ |
\(y^2=x^3-x^2-1834184x-323669520\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-1134, 17226)]$ |
32448.bm2 |
32448cg3 |
32448.bm |
32448cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{20} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$5160960$ |
$3.290272$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.04127$ |
$[0, -1, 0, -25304257, 16625231713]$ |
\(y^2=x^3-x^2-25304257x+16625231713\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.3, 26.6.0.b.1, $\ldots$ |
$[]$ |
32448.db2 |
32448bf3 |
32448.db |
32448bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{20} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5160960$ |
$3.290272$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.04127$ |
$[0, 1, 0, -25304257, -16625231713]$ |
\(y^2=x^3+x^2-25304257x-16625231713\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.11, 26.6.0.b.1, $\ldots$ |
$[]$ |
41262.a2 |
41262g3 |
41262.a |
41262g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$3.894483120$ |
$1$ |
|
$2$ |
$2027520$ |
$2.535824$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.05280$ |
$[1, 1, 0, -1237606, 179218564]$ |
\(y^2+xy=x^3+x^2-1237606x+179218564\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(59, 10286)]$ |
46800.fd2 |
46800dk3 |
46800.fd |
46800dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{26} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$9.542038653$ |
$1$ |
|
$1$ |
$3932160$ |
$3.015251$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.52862$ |
$[0, 0, 0, -8422275, -3190810750]$ |
\(y^2=x^3-8422275x-3190810750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(-10049/3, 1874726/3)]$ |
49686.dj2 |
49686dd3 |
49686.dj |
49686dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$3.223507$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.72913$ |
$[1, 0, 0, -19373572, 11130341312]$ |
\(y^2+xy=x^3-19373572x+11130341312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
62400.r2 |
62400bh3 |
62400.r |
62400bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3932160$ |
$2.812519$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.16424$ |
$[0, -1, 0, -3743233, -944177663]$ |
\(y^2=x^3-x^2-3743233x-944177663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.1, $\ldots$ |
$[]$ |
62400.ho2 |
62400hn3 |
62400.ho |
62400hn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.812519$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.16424$ |
$[0, 1, 0, -3743233, 944177663]$ |
\(y^2=x^3+x^2-3743233x+944177663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.2, $\ldots$ |
$[]$ |
65598.bm2 |
65598bl3 |
65598.bm |
65598bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$2.651726$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.96700$ |
$[1, 0, 0, -1967537, -360444903]$ |
\(y^2+xy=x^3-1967537x-360444903\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
67626.bh2 |
67626bc3 |
67626.bh |
67626bc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6553600$ |
$2.933990$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.25796$ |
$[1, -1, 1, -6085094, 1961077925]$ |
\(y^2+xy+y=x^3-x^2-6085094x+1961077925\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
74958.o2 |
74958k3 |
74958.o |
74958k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$2.930834313$ |
$1$ |
|
$2$ |
$4838400$ |
$2.685070$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.94363$ |
$[1, 0, 1, -2248280, 439893398]$ |
\(y^2+xy+y=x^3-2248280x+439893398\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-1587, 4195)]$ |
75504.cq2 |
75504cm3 |
75504.cq |
75504cm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{20} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.860172$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.12751$ |
$[0, 1, 0, -4529312, -1259870988]$ |
\(y^2=x^3+x^2-4529312x-1259870988\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
76050.fz2 |
76050ey3 |
76050.fz |
76050ey |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$13.29241573$ |
$1$ |
|
$0$ |
$27525120$ |
$3.604576$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.91902$ |
$[1, -1, 1, -88960280, 109556790347]$ |
\(y^2+xy+y=x^3-x^2-88960280x+109556790347\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(3832639/19, 4088514475/19)]$ |
84474.i2 |
84474p3 |
84474.i |
84474p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$13.58283223$ |
$1$ |
|
$0$ |
$7741440$ |
$2.989605$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.21368$ |
$[1, -1, 0, -7601103, -2733821091]$ |
\(y^2+xy=x^3-x^2-7601103x-2733821091\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(14655385/17, 55895707594/17)]$ |
91728.el2 |
91728ei3 |
91728.el |
91728ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{26} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$3.183487$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.37970$ |
$[0, 0, 0, -16507659, 8755584698]$ |
\(y^2=x^3-16507659x+8755584698\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
95550.gj2 |
95550hl3 |
95550.gj |
95550hl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5898240$ |
$2.745750$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.90249$ |
$[1, 1, 1, -2865913, 632167031]$ |
\(y^2+xy+y=x^3+x^2-2865913x+632167031\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
97344.y2 |
97344ci3 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{26} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.03732$ |
$[0, 0, 0, -227738316, 448653517936]$ |
\(y^2=x^3-227738316x+448653517936\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.15, 26.6.0.b.1, $\ldots$ |
$[]$ |
97344.ci2 |
97344fn3 |
97344.ci |
97344fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{26} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$38.72980240$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.03732$ |
$[0, 0, 0, -227738316, -448653517936]$ |
\(y^2=x^3-227738316x-448653517936\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.7, 26.6.0.b.1, $\ldots$ |
$[(-1261706241175342976/9529485, 158364552479521321824418268/9529485)]$ |
106782.l2 |
106782j3 |
106782.l |
106782j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11544$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8294400$ |
$2.773537$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.88422$ |
$[1, 1, 1, -3202804, -749594395]$ |
\(y^2+xy+y=x^3+x^2-3202804x-749594395\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
122304.ds2 |
122304by3 |
122304.ds |
122304by |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$33.34597495$ |
$1$ |
|
$1$ |
$8847360$ |
$2.980755$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.03991$ |
$[0, -1, 0, -7336737, 2596692897]$ |
\(y^2=x^3-x^2-7336737x+2596692897\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(2065158226578544/235345, 93602205310739301378153/235345)]$ |
122304.hn2 |
122304ij3 |
122304.hn |
122304ij |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{20} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.272038038$ |
$1$ |
|
$3$ |
$8847360$ |
$2.980755$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.03991$ |
$[0, 1, 0, -7336737, -2596692897]$ |
\(y^2=x^3+x^2-7336737x-2596692897\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(8514, 743085)]$ |
122694.g2 |
122694x3 |
122694.g |
122694x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 11^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34406400$ |
$3.449501$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.51859$ |
$[1, 1, 0, -47840861, 43177247469]$ |
\(y^2+xy=x^3+x^2-47840861x+43177247469\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
123786.bm2 |
123786bn3 |
123786.bm |
123786bn |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$7.557647210$ |
$1$ |
|
$0$ |
$16220160$ |
$3.085133$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.14154$ |
$[1, -1, 1, -11138459, -4850039685]$ |
\(y^2+xy+y=x^3-x^2-11138459x-4850039685\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-29589/5, 10285726/5)]$ |
131118.e2 |
131118o4 |
131118.e |
131118o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 41^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10649600$ |
$2.824863$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.85140$ |
$[1, 0, 1, -3932735, -1018447486]$ |
\(y^2+xy+y=x^3-3932735x-1018447486\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
144222.o2 |
144222b3 |
144222.o |
144222b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13416$ |
$48$ |
$0$ |
$0.895555217$ |
$1$ |
|
$6$ |
$12902400$ |
$2.848679$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.83655$ |
$[1, 0, 0, -4325774, 1174138548]$ |
\(y^2+xy=x^3-4325774x+1174138548\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(2218, 48814)]$ |
149058.v2 |
149058ev4 |
149058.v |
149058ev |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$7.682889167$ |
$1$ |
|
$0$ |
$61931520$ |
$3.772812$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.75411$ |
$[1, -1, 0, -174362148, -300519215424]$ |
\(y^2+xy=x^3-x^2-174362148x-300519215424\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(140347/3, 23518685/3)]$ |
172302.d2 |
172302t3 |
172302.d |
172302t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 13 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16486400$ |
$2.893150$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.80945$ |
$[1, 1, 0, -5168001, 1531548261]$ |
\(y^2+xy=x^3+x^2-5168001x+1531548261\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
180336.k2 |
180336bc3 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$7.334277377$ |
$1$ |
|
$3$ |
$19660800$ |
$3.077831$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.97446$ |
$[0, -1, 0, -10817944, 4648481008]$ |
\(y^2=x^3-x^2-10817944x+4648481008\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(50802, 11426482)]$ |