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 |
36.a1 |
36a4 |
36.a |
36a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$6$ |
$0.080464$ |
$54000$ |
$[0, 0, 0, -135, -594]$ |
\(y^2=x^3-135x-594\) |
|
$[]$ |
36.a2 |
36a2 |
36.a |
36a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$1$ |
|
$5$ |
$2$ |
$-0.468842$ |
$54000$ |
$[0, 0, 0, -15, 22]$ |
\(y^2=x^3-15x+22\) |
|
$[]$ |
144.a1 |
144a4 |
144.a |
144a |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$24$ |
$0.080464$ |
$54000$ |
$[0, 0, 0, -135, 594]$ |
\(y^2=x^3-135x+594\) |
|
$[]$ |
144.a2 |
144a2 |
144.a |
144a |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.468842$ |
$54000$ |
$[0, 0, 0, -15, -22]$ |
\(y^2=x^3-15x-22\) |
|
$[]$ |
576.e1 |
576a4 |
576.e |
576a |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.979852016$ |
$1$ |
|
$7$ |
$192$ |
$0.427038$ |
$54000$ |
$[0, 0, 0, -540, -4752]$ |
\(y^2=x^3-540x-4752\) |
|
$[(-14, 8)]$ |
576.e2 |
576a2 |
576.e |
576a |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.326617338$ |
$1$ |
|
$9$ |
$64$ |
$-0.122268$ |
$54000$ |
$[0, 0, 0, -60, 176]$ |
\(y^2=x^3-60x+176\) |
|
$[(2, 8)]$ |
576.f1 |
576e4 |
576.f |
576e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.427038$ |
$54000$ |
$[0, 0, 0, -540, 4752]$ |
\(y^2=x^3-540x+4752\) |
|
$[]$ |
576.f2 |
576e2 |
576.f |
576e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.122268$ |
$54000$ |
$[0, 0, 0, -60, -176]$ |
\(y^2=x^3-60x-176\) |
|
$[]$ |
900.g1 |
900b4 |
900.g |
900b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$864$ |
$0.885183$ |
$54000$ |
$[0, 0, 0, -3375, -74250]$ |
\(y^2=x^3-3375x-74250\) |
|
$[]$ |
900.g2 |
900b2 |
900.g |
900b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$288$ |
$0.335877$ |
$54000$ |
$[0, 0, 0, -375, 2750]$ |
\(y^2=x^3-375x+2750\) |
|
$[]$ |
1764.e1 |
1764b4 |
1764.e |
1764b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.161372234$ |
$1$ |
|
$3$ |
$1728$ |
$1.053419$ |
$54000$ |
$[0, 0, 0, -6615, 203742]$ |
\(y^2=x^3-6615x+203742\) |
|
$[(-66, 594)]$ |
1764.e2 |
1764b2 |
1764.e |
1764b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.053790744$ |
$1$ |
|
$7$ |
$576$ |
$0.504113$ |
$54000$ |
$[0, 0, 0, -735, -7546]$ |
\(y^2=x^3-735x-7546\) |
|
$[(-17, 6)]$ |
3600.e1 |
3600bb4 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.885183$ |
$54000$ |
$[0, 0, 0, -3375, 74250]$ |
\(y^2=x^3-3375x+74250\) |
|
$[]$ |
3600.e2 |
3600bb2 |
3600.e |
3600bb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.335877$ |
$54000$ |
$[0, 0, 0, -375, -2750]$ |
\(y^2=x^3-375x-2750\) |
|
$[]$ |
4356.g1 |
4356c4 |
4356.g |
4356c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.926588831$ |
$1$ |
|
$7$ |
$8640$ |
$1.279411$ |
$54000$ |
$[0, 0, 0, -16335, 790614]$ |
\(y^2=x^3-16335x+790614\) |
|
$[(55, 242)]$ |
4356.g2 |
4356c2 |
4356.g |
4356c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.779766495$ |
$1$ |
|
$1$ |
$2880$ |
$0.730106$ |
$54000$ |
$[0, 0, 0, -1815, -29282]$ |
\(y^2=x^3-1815x-29282\) |
|
$[(209/2, 1089/2)]$ |
6084.i1 |
6084a4 |
6084.i |
6084a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$13824$ |
$1.362940$ |
$54000$ |
$[0, 0, 0, -22815, -1305018]$ |
\(y^2=x^3-22815x-1305018\) |
|
$[]$ |
6084.i2 |
6084a2 |
6084.i |
6084a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.813633$ |
$54000$ |
$[0, 0, 0, -2535, 48334]$ |
\(y^2=x^3-2535x+48334\) |
|
$[]$ |
7056.bb1 |
7056bf4 |
7056.bb |
7056bf |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.844547517$ |
$1$ |
|
$1$ |
$6912$ |
$1.053419$ |
$54000$ |
$[0, 0, 0, -6615, -203742]$ |
\(y^2=x^3-6615x-203742\) |
|
$[(16177/6, 2021201/6)]$ |
7056.bb2 |
7056bf2 |
7056.bb |
7056bf |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.614849172$ |
$1$ |
|
$3$ |
$2304$ |
$0.504113$ |
$54000$ |
$[0, 0, 0, -735, 7546]$ |
\(y^2=x^3-735x+7546\) |
|
$[(2, 78)]$ |
10404.i1 |
10404b4 |
10404.i |
10404b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$1$ |
$31104$ |
$1.497070$ |
$54000$ |
$[0, 0, 0, -39015, -2918322]$ |
\(y^2=x^3-39015x-2918322\) |
|
$[]$ |
10404.i2 |
10404b2 |
10404.i |
10404b |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$10368$ |
$0.947765$ |
$54000$ |
$[0, 0, 0, -4335, 108086]$ |
\(y^2=x^3-4335x+108086\) |
|
$[]$ |
12996.d1 |
12996f4 |
12996.d |
12996f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.290307121$ |
$1$ |
|
$5$ |
$36288$ |
$1.552685$ |
$54000$ |
$[0, 0, 0, -48735, 4074246]$ |
\(y^2=x^3-48735x+4074246\) |
|
$[(87, 702)]$ |
12996.d2 |
12996f2 |
12996.d |
12996f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.870921363$ |
$1$ |
|
$1$ |
$12096$ |
$1.003378$ |
$54000$ |
$[0, 0, 0, -5415, -150898]$ |
\(y^2=x^3-5415x-150898\) |
|
$[(-2294/7, 468/7)]$ |
14400.n1 |
14400cz4 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.231756$ |
$54000$ |
$[0, 0, 0, -13500, 594000]$ |
\(y^2=x^3-13500x+594000\) |
|
$[]$ |
14400.n2 |
14400cz2 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.682451$ |
$54000$ |
$[0, 0, 0, -1500, -22000]$ |
\(y^2=x^3-1500x-22000\) |
|
$[]$ |
14400.ey1 |
14400l4 |
14400.ey |
14400l |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.166046073$ |
$1$ |
|
$3$ |
$27648$ |
$1.231756$ |
$54000$ |
$[0, 0, 0, -13500, -594000]$ |
\(y^2=x^3-13500x-594000\) |
|
$[(426, 8424)]$ |
14400.ey2 |
14400l2 |
14400.ey |
14400l |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.055348691$ |
$1$ |
|
$7$ |
$9216$ |
$0.682451$ |
$54000$ |
$[0, 0, 0, -1500, 22000]$ |
\(y^2=x^3-1500x+22000\) |
|
$[(26, 24)]$ |
17424.w1 |
17424be4 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.870871293$ |
$1$ |
|
$1$ |
$34560$ |
$1.279411$ |
$54000$ |
$[0, 0, 0, -16335, -790614]$ |
\(y^2=x^3-16335x-790614\) |
|
$[(7161/2, 604395/2)]$ |
17424.w2 |
17424be2 |
17424.w |
17424be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.623623764$ |
$1$ |
|
$3$ |
$11520$ |
$0.730106$ |
$54000$ |
$[0, 0, 0, -1815, 29282]$ |
\(y^2=x^3-1815x+29282\) |
|
$[(-22, 242)]$ |
19044.i1 |
19044c4 |
19044.i |
19044c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.863497176$ |
$1$ |
|
$1$ |
$76032$ |
$1.648212$ |
$54000$ |
$[0, 0, 0, -71415, 7227198]$ |
\(y^2=x^3-71415x+7227198\) |
|
$[(1081/6, 488267/6)]$ |
19044.i2 |
19044c2 |
19044.i |
19044c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.954499058$ |
$1$ |
|
$3$ |
$25344$ |
$1.098906$ |
$54000$ |
$[0, 0, 0, -7935, -267674]$ |
\(y^2=x^3-7935x-267674\) |
|
$[(230, 3174)]$ |
24336.bb1 |
24336ba4 |
24336.bb |
24336ba |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.362940$ |
$54000$ |
$[0, 0, 0, -22815, 1305018]$ |
\(y^2=x^3-22815x+1305018\) |
|
$[]$ |
24336.bb2 |
24336ba2 |
24336.bb |
24336ba |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.813633$ |
$54000$ |
$[0, 0, 0, -2535, -48334]$ |
\(y^2=x^3-2535x-48334\) |
|
$[]$ |
28224.di1 |
28224di4 |
28224.di |
28224di |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.104355409$ |
$1$ |
|
$1$ |
$55296$ |
$1.399994$ |
$54000$ |
$[0, 0, 0, -26460, -1629936]$ |
\(y^2=x^3-26460x-1629936\) |
|
$[(6181/5, 329329/5)]$ |
28224.di2 |
28224di2 |
28224.di |
28224di |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.368118469$ |
$1$ |
|
$5$ |
$18432$ |
$0.850687$ |
$54000$ |
$[0, 0, 0, -2940, 60368]$ |
\(y^2=x^3-2940x+60368\) |
|
$[(16, 132)]$ |
28224.dj1 |
28224i4 |
28224.dj |
28224i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.399994$ |
$54000$ |
$[0, 0, 0, -26460, 1629936]$ |
\(y^2=x^3-26460x+1629936\) |
|
$[]$ |
28224.dj2 |
28224i2 |
28224.dj |
28224i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.850687$ |
$54000$ |
$[0, 0, 0, -2940, -60368]$ |
\(y^2=x^3-2940x-60368\) |
|
$[]$ |
30276.i1 |
30276c4 |
30276.i |
30276c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$151200$ |
$1.764112$ |
$54000$ |
$[0, 0, 0, -113535, -14487066]$ |
\(y^2=x^3-113535x-14487066\) |
|
$[]$ |
30276.i2 |
30276c2 |
30276.i |
30276c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$50400$ |
$1.214806$ |
$54000$ |
$[0, 0, 0, -12615, 536558]$ |
\(y^2=x^3-12615x+536558\) |
|
$[]$ |
34596.h1 |
34596d4 |
34596.h |
34596d |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$10.38907905$ |
$1$ |
|
$1$ |
$181440$ |
$1.797459$ |
$54000$ |
$[0, 0, 0, -129735, 17695854]$ |
\(y^2=x^3-129735x+17695854\) |
|
$[(-65154/19, 40712490/19)]$ |
34596.h2 |
34596d2 |
34596.h |
34596d |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.463026350$ |
$1$ |
|
$3$ |
$60480$ |
$1.248152$ |
$54000$ |
$[0, 0, 0, -14415, -655402]$ |
\(y^2=x^3-14415x-655402\) |
|
$[(-74, 78)]$ |
41616.bg1 |
41616bk4 |
41616.bg |
41616bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$124416$ |
$1.497070$ |
$54000$ |
$[0, 0, 0, -39015, 2918322]$ |
\(y^2=x^3-39015x+2918322\) |
|
$[]$ |
41616.bg2 |
41616bk2 |
41616.bg |
41616bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$41472$ |
$0.947765$ |
$54000$ |
$[0, 0, 0, -4335, -108086]$ |
\(y^2=x^3-4335x-108086\) |
|
$[]$ |
44100.by1 |
44100e4 |
44100.by |
44100e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.369973693$ |
$1$ |
|
$7$ |
$248832$ |
$1.858139$ |
$54000$ |
$[0, 0, 0, -165375, 25467750]$ |
\(y^2=x^3-165375x+25467750\) |
|
$[(259, 98)]$ |
44100.by2 |
44100e2 |
44100.by |
44100e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.109921081$ |
$1$ |
|
$1$ |
$82944$ |
$1.308832$ |
$54000$ |
$[0, 0, 0, -18375, -943250]$ |
\(y^2=x^3-18375x-943250\) |
|
$[(5761/6, 100009/6)]$ |
49284.e1 |
49284c4 |
49284.e |
49284c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 37^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.260627603$ |
$1$ |
|
$9$ |
$290304$ |
$1.885923$ |
$54000$ |
$[0, 0, 0, -184815, -30087882]$ |
\(y^2=x^3-184815x-30087882\) |
|
$[(703, 13690), (-249, 702)]$ |
49284.e2 |
49284c2 |
49284.e |
49284c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 37^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.260627603$ |
$1$ |
|
$7$ |
$96768$ |
$1.336617$ |
$54000$ |
$[0, 0, 0, -20535, 1114366]$ |
\(y^2=x^3-20535x+1114366\) |
|
$[(222, 2738), (62, 282)]$ |
51984.bq1 |
51984bo4 |
51984.bq |
51984bo |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$22.18311211$ |
$1$ |
|
$1$ |
$145152$ |
$1.552685$ |
$54000$ |
$[0, 0, 0, -48735, -4074246]$ |
\(y^2=x^3-48735x-4074246\) |
|
$[(-28412104146/14917, 857733259106340/14917)]$ |
51984.bq2 |
51984bo2 |
51984.bq |
51984bo |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.394370706$ |
$1$ |
|
$1$ |
$48384$ |
$1.003378$ |
$54000$ |
$[0, 0, 0, -5415, 150898]$ |
\(y^2=x^3-5415x+150898\) |
|
$[(662/7, 97140/7)]$ |