| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 456300.a1 |
456300a2 |
456300.a |
456300a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.852940544$ |
$1$ |
|
$2$ |
$10917504$ |
$2.407829$ |
$0$ |
|
$4.00602$ |
$1$ |
$[0, 0, 0, 0, -250622775]$ |
\(y^2=x^3-250622775\) |
|
$[(1180, 37315)]$ |
$1$ |
| 456300.a2 |
456300a1 |
456300.a |
456300a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$17.55882163$ |
$1$ |
|
$0$ |
$3639168$ |
$1.858522$ |
$0$ |
|
$3.50017$ |
$1$ |
$[0, 0, 0, 0, 9282325]$ |
\(y^2=x^3+9282325\) |
|
$[(6405409/354, 136125649873/354)]$ |
$1$ |
| 456300.b1 |
456300b2 |
456300.b |
456300b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$14556672$ |
$2.479626$ |
$0$ |
|
$4.07214$ |
$1$ |
$[0, 0, 0, 0, -385573500]$ |
\(y^2=x^3-385573500\) |
|
$[ ]$ |
$1$ |
| 456300.b2 |
456300b1 |
456300.b |
456300b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$4852224$ |
$1.930319$ |
$0$ |
|
$3.56629$ |
$1$ |
$[0, 0, 0, 0, 14280500]$ |
\(y^2=x^3+14280500\) |
|
$[ ]$ |
$1$ |
| 456300.c1 |
456300c2 |
456300.c |
456300c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.543014211$ |
$1$ |
|
$20$ |
$2239488$ |
$1.552845$ |
$0$ |
|
$3.21868$ |
$1$ |
$[0, 0, 0, 0, -1482975]$ |
\(y^2=x^3-1482975\) |
|
$[(390, 7605), (156, 1521)]$ |
$1$ |
| 456300.c2 |
456300c1 |
456300.c |
456300c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.887127904$ |
$1$ |
|
$2$ |
$746496$ |
$1.003538$ |
$0$ |
|
$2.71283$ |
$1$ |
$[0, 0, 0, 0, 54925]$ |
\(y^2=x^3+54925\) |
|
$[(39, 338), (-39/2, 1859/2)]$ |
$1$ |
| 456300.d1 |
456300d2 |
456300.d |
456300d |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.185464154$ |
$1$ |
|
$2$ |
$4199040$ |
$1.930073$ |
$0$ |
|
$3.56606$ |
$1$ |
$[0, 0, 0, 0, -14259375]$ |
\(y^2=x^3-14259375\) |
|
$[(276, 2601)]$ |
$1$ |
| 456300.d2 |
456300d1 |
456300.d |
456300d |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$12.55639246$ |
$1$ |
|
$0$ |
$1399680$ |
$1.380766$ |
$0$ |
|
$3.06021$ |
$1$ |
$[0, 0, 0, 0, 528125]$ |
\(y^2=x^3+528125\) |
|
$[(-111151/46, 60252743/46)]$ |
$1$ |
| 456300.e1 |
456300e2 |
456300.e |
456300e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16796160$ |
$2.513988$ |
$-5267712/125$ |
$1.15142$ |
$4.25304$ |
$1$ |
$[0, 0, 0, -2167425, -1253113875]$ |
\(y^2=x^3-2167425x-1253113875\) |
3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? |
$[ ]$ |
$1$ |
| 456300.e2 |
456300e1 |
456300.e |
456300e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5598720$ |
$1.964682$ |
$6912/5$ |
$0.69897$ |
$3.57208$ |
$1$ |
$[0, 0, 0, 114075, -7414875]$ |
\(y^2=x^3+114075x-7414875\) |
3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? |
$[ ]$ |
$1$ |
| 456300.f1 |
456300f1 |
456300.f |
456300f |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$0.929713710$ |
$1$ |
|
$4$ |
$2903040$ |
$1.833870$ |
$6912/845$ |
$0.81839$ |
$3.47666$ |
$1$ |
$[0, 0, 0, 12675, 7964125]$ |
\(y^2=x^3+12675x+7964125\) |
30.2.0.a.1 |
$[(195, 4225)]$ |
$1$ |
| 456300.g1 |
456300g1 |
456300.g |
456300g |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$2.451342759$ |
$1$ |
|
$2$ |
$5031936$ |
$1.970789$ |
$5616$ |
$0.58874$ |
$3.65674$ |
$1$ |
$[0, 0, 0, -164775, 21420750]$ |
\(y^2=x^3-164775x+21420750\) |
12.2.0.a.1 |
$[(1690, 67600)]$ |
$1$ |
| 456300.h1 |
456300h1 |
456300.h |
456300h |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$29.56804163$ |
$1$ |
|
$0$ |
$27578880$ |
$2.882393$ |
$-1022208/169$ |
$0.73748$ |
$4.51394$ |
$1$ |
$[0, 0, 0, -6274125, -6858759375]$ |
\(y^2=x^3-6274125x-6858759375\) |
30.2.0.a.1 |
$[(87329920982824/44015, 814810797349989951043/44015)]$ |
$1$ |
| 456300.i1 |
456300i2 |
456300.i |
456300i |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$1714608$ |
$1.515654$ |
$0$ |
|
$3.18443$ |
$1$ |
$[0, 0, 0, 0, -1186380]$ |
\(y^2=x^3-1186380\) |
|
$[ ]$ |
$1$ |
| 456300.i2 |
456300i1 |
456300.i |
456300i |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$571536$ |
$0.966348$ |
$0$ |
|
$2.67858$ |
$1$ |
$[0, 0, 0, 0, 43940]$ |
\(y^2=x^3+43940\) |
|
$[ ]$ |
$1$ |
| 456300.j1 |
456300j2 |
456300.j |
456300j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$8.163921592$ |
$1$ |
|
$0$ |
$2916000$ |
$1.892881$ |
$0$ |
|
$3.53181$ |
$1$ |
$[0, 0, 0, 0, -11407500]$ |
\(y^2=x^3-11407500\) |
|
$[(2029/3, 6083/3)]$ |
$1$ |
| 456300.j2 |
456300j1 |
456300.j |
456300j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$2.721307197$ |
$1$ |
|
$6$ |
$972000$ |
$1.343576$ |
$0$ |
|
$3.02596$ |
$1$ |
$[0, 0, 0, 0, 422500]$ |
\(y^2=x^3+422500\) |
|
$[(-75, 25)]$ |
$1$ |
| 456300.k1 |
456300k2 |
456300.k |
456300k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.770073132$ |
$1$ |
|
$2$ |
$466560$ |
$0.966102$ |
$0$ |
|
$2.67835$ |
$1$ |
$[0, 0, 0, 0, -43875]$ |
\(y^2=x^3-43875\) |
|
$[(55, 350)]$ |
$1$ |
| 456300.k2 |
456300k1 |
456300.k |
456300k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.923357710$ |
$1$ |
|
$4$ |
$155520$ |
$0.416795$ |
$0$ |
|
$2.17250$ |
$1$ |
$[0, 0, 0, 0, 1625]$ |
\(y^2=x^3+1625\) |
|
$[(-10, 25)]$ |
$1$ |
| 456300.l1 |
456300l2 |
456300.l |
456300l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$18195840$ |
$2.676067$ |
$0$ |
|
$4.25304$ |
$1$ |
$[0, 0, 0, 0, -1253113875]$ |
\(y^2=x^3-1253113875\) |
|
$[ ]$ |
$1$ |
| 456300.l2 |
456300l1 |
456300.l |
456300l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$6065280$ |
$2.126762$ |
$0$ |
|
$3.74719$ |
$1$ |
$[0, 0, 0, 0, 46411625]$ |
\(y^2=x^3+46411625\) |
|
$[ ]$ |
$1$ |
| 456300.m1 |
456300m2 |
456300.m |
456300m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$24.09643794$ |
$1$ |
|
$0$ |
$7581600$ |
$2.370636$ |
$0$ |
|
$3.97177$ |
$1$ |
$[0, 0, 0, 0, -200498220]$ |
\(y^2=x^3-200498220\) |
|
$[(28996523149/695, 4937631655077107/695)]$ |
$1$ |
| 456300.m2 |
456300m1 |
456300.m |
456300m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.032145980$ |
$1$ |
|
$0$ |
$2527200$ |
$1.821331$ |
$0$ |
|
$3.46592$ |
$1$ |
$[0, 0, 0, 0, 7425860]$ |
\(y^2=x^3+7425860\) |
|
$[(-556/5, 340378/5)]$ |
$1$ |
| 456300.n1 |
456300n1 |
456300.n |
456300n |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$5.557406539$ |
$1$ |
|
$8$ |
$9192960$ |
$2.333088$ |
$-1022208/169$ |
$0.73748$ |
$4.00809$ |
$1$ |
$[0, 0, 0, -697125, 254028125]$ |
\(y^2=x^3-697125x+254028125\) |
30.2.0.a.1 |
$[(-325, 21125), (425, 5875)]$ |
$1$ |
| 456300.o1 |
456300o1 |
456300.o |
456300o |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$5.823874156$ |
$1$ |
|
$8$ |
$15095808$ |
$2.520096$ |
$5616$ |
$0.58874$ |
$4.16259$ |
$1$ |
$[0, 0, 0, -1482975, -578360250]$ |
\(y^2=x^3-1482975x-578360250\) |
12.2.0.a.1 |
$[(-845, 8450), (-809, 9586)]$ |
$1$ |
| 456300.p1 |
456300p1 |
456300.p |
456300p |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.383175$ |
$6912/845$ |
$0.81839$ |
$3.98251$ |
$1$ |
$[0, 0, 0, 114075, -215031375]$ |
\(y^2=x^3+114075x-215031375\) |
30.2.0.a.1 |
$[ ]$ |
$1$ |
| 456300.q1 |
456300q2 |
456300.q |
456300q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$0.889365596$ |
$1$ |
|
$4$ |
$5598720$ |
$1.964682$ |
$-5267712/125$ |
$1.15142$ |
$3.74719$ |
$1$ |
$[0, 0, 0, -240825, 46411625]$ |
\(y^2=x^3-240825x+46411625\) |
3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? |
$[(845, 21125)]$ |
$1$ |
| 456300.q2 |
456300q1 |
456300.q |
456300q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$2.668096790$ |
$1$ |
|
$0$ |
$1866240$ |
$1.415375$ |
$6912/5$ |
$0.69897$ |
$3.06623$ |
$1$ |
$[0, 0, 0, 12675, 274625]$ |
\(y^2=x^3+12675x+274625\) |
3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? |
$[(520/3, 29575/3)]$ |
$1$ |
| 456300.r1 |
456300r1 |
456300.r |
456300r |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$0.609045035$ |
$1$ |
|
$4$ |
$145152$ |
$0.291980$ |
$-28753920$ |
$0.99921$ |
$2.42436$ |
$1$ |
$[0, 0, 0, -780, 8385]$ |
\(y^2=x^3-780x+8385\) |
6.2.0.a.1 |
$[(16, 1)]$ |
$1$ |
| 456300.s1 |
456300s1 |
456300.s |
456300s |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$47.15332607$ |
$1$ |
|
$0$ |
$28304640$ |
$2.928478$ |
$-28753920$ |
$0.99921$ |
$4.85228$ |
$1$ |
$[0, 0, 0, -29659500, -62173726875]$ |
\(y^2=x^3-29659500x-62173726875\) |
6.2.0.a.1 |
$[(9170710583943797168449/92933858, 878210768783849632325018094698207/92933858)]$ |
$1$ |
| 456300.t1 |
456300t1 |
456300.t |
456300t |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$28.59858059$ |
$1$ |
|
$0$ |
$34836480$ |
$3.021088$ |
$-1228800/169$ |
$0.85868$ |
$4.64865$ |
$1$ |
$[0, 0, 0, -11407500, -16498096875]$ |
\(y^2=x^3-11407500x-16498096875\) |
6.2.0.a.1 |
$[(26911770249481/60506, 120692036189941036379/60506)]$ |
$1$ |
| 456300.u1 |
456300u1 |
456300.u |
456300u |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.492237$ |
$-1769472/65$ |
$0.83608$ |
$4.21511$ |
$1$ |
$[0, 0, 0, -1825200, -978763500]$ |
\(y^2=x^3-1825200x-978763500\) |
390.2.0.? |
$[ ]$ |
$1$ |
| 456300.v1 |
456300v1 |
456300.v |
456300v |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$8.619733430$ |
$1$ |
|
$0$ |
$27869184$ |
$3.003651$ |
$-837392793600/28561$ |
$1.14048$ |
$4.92202$ |
$1$ |
$[0, 0, 0, -40154400, 97940117925]$ |
\(y^2=x^3-40154400x+97940117925\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(1310569/14, 983269547/14)]$ |
$1$ |
| 456300.w1 |
456300w1 |
456300.w |
456300w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$1.484405319$ |
$1$ |
|
$4$ |
$9289728$ |
$2.454346$ |
$-837392793600/28561$ |
$1.14048$ |
$4.41617$ |
$1$ |
$[0, 0, 0, -4461600, -3627411775]$ |
\(y^2=x^3-4461600x-3627411775\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[(5980, 428415)]$ |
$1$ |
| 456300.x1 |
456300x1 |
456300.x |
456300x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.285306928$ |
$1$ |
|
$6$ |
$2903040$ |
$1.942932$ |
$-1769472/65$ |
$0.83608$ |
$3.70926$ |
$1$ |
$[0, 0, 0, -202800, 36250500]$ |
\(y^2=x^3-202800x+36250500\) |
390.2.0.? |
$[(-260, 8450)]$ |
$1$ |
| 456300.y1 |
456300y1 |
456300.y |
456300y |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.699876320$ |
$1$ |
|
$2$ |
$11612160$ |
$2.471779$ |
$-1228800/169$ |
$0.85868$ |
$4.14280$ |
$1$ |
$[0, 0, 0, -1267500, 611040625]$ |
\(y^2=x^3-1267500x+611040625\) |
6.2.0.a.1 |
$[(624, 7943)]$ |
$1$ |
| 456300.z1 |
456300z1 |
456300.z |
456300z |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$10.88363432$ |
$1$ |
|
$0$ |
$435456$ |
$0.841286$ |
$-28753920$ |
$0.99921$ |
$2.93020$ |
$1$ |
$[0, 0, 0, -7020, -226395]$ |
\(y^2=x^3-7020x-226395\) |
6.2.0.a.1 |
$[(230409/2, 110598363/2)]$ |
$1$ |
| 456300.ba1 |
456300ba1 |
456300.ba |
456300ba |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1.069016731$ |
$1$ |
|
$0$ |
$9434880$ |
$2.379173$ |
$-28753920$ |
$0.99921$ |
$4.34643$ |
$1$ |
$[0, 0, 0, -3295500, 2302730625]$ |
\(y^2=x^3-3295500x+2302730625\) |
6.2.0.a.1 |
$[(4225/2, 4225/2)]$ |
$1$ |
| 456300.bb1 |
456300bb1 |
456300.bb |
456300bb |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5080320$ |
$2.040600$ |
$6912/13$ |
$0.58874$ |
$3.63431$ |
$1$ |
$[0, 0, 0, 114075, 22244625]$ |
\(y^2=x^3+114075x+22244625\) |
78.2.0.? |
$[ ]$ |
$1$ |
| 456300.bc1 |
456300bc1 |
456300.bc |
456300bc |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4414176$ |
$1.916779$ |
$15600$ |
$0.65730$ |
$3.65674$ |
$1$ |
$[0, 0, 0, -164775, -24276850]$ |
\(y^2=x^3-164775x-24276850\) |
12.2.0.a.1 |
$[ ]$ |
$1$ |
| 456300.bd1 |
456300bd1 |
456300.bd |
456300bd |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$5.596836590$ |
$1$ |
|
$2$ |
$5093280$ |
$1.988329$ |
$15600$ |
$0.65730$ |
$3.72263$ |
$1$ |
$[0, 0, 0, -219375, 37293750]$ |
\(y^2=x^3-219375x+37293750\) |
12.2.0.a.1 |
$[(-329, 8594)]$ |
$1$ |
| 456300.be1 |
456300be2 |
456300.be |
456300be |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$7.388104869$ |
$1$ |
|
$2$ |
$58226688$ |
$3.295418$ |
$8103309552/25$ |
$0.93203$ |
$5.25094$ |
$1$ |
$[0, 0, 0, -167576175, -834959414250]$ |
\(y^2=x^3-167576175x-834959414250\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 |
$[(80655, 22590450)]$ |
$1$ |
| 456300.be2 |
456300be1 |
456300.be |
456300be |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$22.16431460$ |
$1$ |
|
$0$ |
$19408896$ |
$2.746113$ |
$27591408/15625$ |
$0.97816$ |
$4.30901$ |
$1$ |
$[0, 0, 0, -2801175, -264189250]$ |
\(y^2=x^3-2801175x-264189250\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 |
$[(19423892030/1471, 2659127484481850/1471)]$ |
$1$ |
| 456300.bf1 |
456300bf2 |
456300.bf |
456300bf |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22744800$ |
$2.885422$ |
$16541040$ |
$0.94517$ |
$4.79755$ |
$1$ |
$[0, 0, 0, -23385375, -43525316250]$ |
\(y^2=x^3-23385375x-43525316250\) |
3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.2, 156.16.0.? |
$[ ]$ |
$1$ |
| 456300.bf2 |
456300bf1 |
456300.bf |
456300bf |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7581600$ |
$2.336113$ |
$2160$ |
$0.69897$ |
$3.94261$ |
$1$ |
$[0, 0, 0, -570375, 74148750]$ |
\(y^2=x^3-570375x+74148750\) |
3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.1, 156.16.0.? |
$[ ]$ |
$1$ |
| 456300.bg1 |
456300bg1 |
456300.bg |
456300bg |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$12.49162052$ |
$1$ |
|
$0$ |
$8294400$ |
$2.413559$ |
$768$ |
$0.64602$ |
$3.95973$ |
$1$ |
$[0, 0, 0, 570375, -185371875]$ |
\(y^2=x^3+570375x-185371875\) |
30.2.0.a.1 |
$[(17585425/192, 98906341625/192)]$ |
$1$ |
| 456300.bh1 |
456300bh1 |
456300.bh |
456300bh |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$1.864254$ |
$768$ |
$0.64602$ |
$3.45388$ |
$1$ |
$[0, 0, 0, 63375, 6865625]$ |
\(y^2=x^3+63375x+6865625\) |
30.2.0.a.1 |
$[ ]$ |
$1$ |
| 456300.bi1 |
456300bi2 |
456300.bi |
456300bi |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$7.902541857$ |
$1$ |
|
$2$ |
$7581600$ |
$2.336113$ |
$16541040$ |
$0.94517$ |
$4.29170$ |
$1$ |
$[0, 0, 0, -2598375, 1612048750]$ |
\(y^2=x^3-2598375x+1612048750\) |
3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.1, 156.16.0.? |
$[(-1746, 28742)]$ |
$1$ |
| 456300.bi2 |
456300bi1 |
456300.bi |
456300bi |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$2.634180619$ |
$1$ |
|
$2$ |
$2527200$ |
$1.786808$ |
$2160$ |
$0.69897$ |
$3.43676$ |
$1$ |
$[0, 0, 0, -63375, -2746250]$ |
\(y^2=x^3-63375x-2746250\) |
3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.2, 156.16.0.? |
$[(-225, 350)]$ |
$1$ |
| 456300.bj1 |
456300bj2 |
456300.bj |
456300bj |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$58226688$ |
$3.295418$ |
$27591408/15625$ |
$0.97816$ |
$4.81486$ |
$1$ |
$[0, 0, 0, -25210575, 7133109750]$ |
\(y^2=x^3-25210575x+7133109750\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 |
$[ ]$ |
$1$ |