| 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 |
| 2700.a1 |
2700g2 |
2700.a |
2700g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$4860$ |
$1.075089$ |
$0$ |
|
$4.58286$ |
$[0, 0, 0, 0, -84375]$ |
\(y^2=x^3-84375\) |
|
$[]$ |
| 2700.a2 |
2700g1 |
2700.a |
2700g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$1620$ |
$0.525783$ |
$0$ |
|
$3.74858$ |
$[0, 0, 0, 0, 3125]$ |
\(y^2=x^3+3125\) |
|
$[]$ |
| 2700.b1 |
2700p2 |
2700.b |
2700p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.333676692$ |
$1$ |
|
$8$ |
$2592$ |
$0.769659$ |
$0$ |
|
$4.11897$ |
$[0, 0, 0, 0, -13500]$ |
\(y^2=x^3-13500\) |
|
$[(60, 450)]$ |
| 2700.b2 |
2700p1 |
2700.b |
2700p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.001030076$ |
$1$ |
|
$2$ |
$864$ |
$0.220353$ |
$0$ |
|
$3.28469$ |
$[0, 0, 0, 0, 500]$ |
\(y^2=x^3+500\) |
|
$[(5, 25)]$ |
| 2700.c1 |
2700t2 |
2700.c |
2700t |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$4860$ |
$1.037899$ |
$0$ |
|
$4.52637$ |
$[0, 0, 0, 0, -67500]$ |
\(y^2=x^3-67500\) |
|
$[]$ |
| 2700.c2 |
2700t1 |
2700.c |
2700t |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$1$ |
|
$2$ |
$1620$ |
$0.488592$ |
$0$ |
|
$3.69209$ |
$[0, 0, 0, 0, 2500]$ |
\(y^2=x^3+2500\) |
|
$[]$ |
| 2700.d1 |
2700n2 |
2700.d |
2700n |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1.228777667$ |
$1$ |
|
$2$ |
$648$ |
$0.248921$ |
$16541040$ |
$0.94517$ |
$3.90817$ |
$[0, 0, 0, -615, 5870]$ |
\(y^2=x^3-615x+5870\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 |
$[(14, 2)]$ |
| 2700.d2 |
2700n1 |
2700.d |
2700n |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$0.409592555$ |
$1$ |
|
$4$ |
$216$ |
$-0.300385$ |
$2160$ |
$0.69897$ |
$2.49813$ |
$[0, 0, 0, -15, -10]$ |
\(y^2=x^3-15x-10\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 |
$[(-1, 2)]$ |
| 2700.e1 |
2700k1 |
2700.e |
2700k |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$0.088335347$ |
$1$ |
|
$10$ |
$288$ |
$-0.222940$ |
$768$ |
$0.64602$ |
$2.52637$ |
$[0, 0, 0, 15, 25]$ |
\(y^2=x^3+15x+25\) |
30.2.0.a.1 |
$[(5, 15)]$ |
| 2700.f1 |
2700m1 |
2700.f |
2700m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$0.381766139$ |
$1$ |
|
$2$ |
$864$ |
$0.393236$ |
$-9199872/5$ |
$0.95440$ |
$4.01983$ |
$[0, 0, 0, -825, 9125]$ |
\(y^2=x^3-825x+9125\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 |
$[(20, 25)]$ |
| 2700.f2 |
2700m2 |
2700.f |
2700m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$0.127255379$ |
$1$ |
|
$10$ |
$2592$ |
$0.942542$ |
$6912/125$ |
$1.02720$ |
$4.37504$ |
$[0, 0, 0, 675, 37125]$ |
\(y^2=x^3+675x+37125\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 |
$[(105, 1125)]$ |
| 2700.g1 |
2700c2 |
2700.g |
2700c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.942542$ |
$-9199872/5$ |
$0.95440$ |
$4.85411$ |
$[0, 0, 0, -7425, -246375]$ |
\(y^2=x^3-7425x-246375\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 |
$[]$ |
| 2700.g2 |
2700c1 |
2700.g |
2700c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$0.393236$ |
$6912/125$ |
$1.02720$ |
$3.54076$ |
$[0, 0, 0, 75, -1375]$ |
\(y^2=x^3+75x-1375\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 |
$[]$ |
| 2700.h1 |
2700s1 |
2700.h |
2700s |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$0.326365$ |
$768$ |
$0.64602$ |
$3.36066$ |
$[0, 0, 0, 135, -675]$ |
\(y^2=x^3+135x-675\) |
30.2.0.a.1 |
$[]$ |
| 2700.i1 |
2700d2 |
2700.i |
2700d |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1944$ |
$0.798227$ |
$16541040$ |
$0.94517$ |
$4.74245$ |
$[0, 0, 0, -5535, -158490]$ |
\(y^2=x^3-5535x-158490\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 |
$[]$ |
| 2700.i2 |
2700d1 |
2700.i |
2700d |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.248921$ |
$2160$ |
$0.69897$ |
$3.33241$ |
$[0, 0, 0, -135, 270]$ |
\(y^2=x^3-135x+270\) |
3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 |
$[]$ |
| 2700.j1 |
2700h2 |
2700.j |
2700h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$6.725594314$ |
$1$ |
|
$0$ |
$1620$ |
$0.806849$ |
$0$ |
|
$4.17546$ |
$[0, 0, 0, 0, -16875]$ |
\(y^2=x^3-16875\) |
|
$[(679/3, 17342/3)]$ |
| 2700.j2 |
2700h1 |
2700.j |
2700h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$2.241864771$ |
$1$ |
|
$6$ |
$540$ |
$0.257543$ |
$0$ |
|
$3.34118$ |
$[0, 0, 0, 0, 625]$ |
\(y^2=x^3+625\) |
|
$[(6, 29)]$ |
| 2700.k1 |
2700b1 |
2700.k |
2700b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$1.213987$ |
$-5971968/25$ |
$1.09044$ |
$5.15113$ |
$[0, 0, 0, -16200, 796500]$ |
\(y^2=x^3-16200x+796500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[]$ |
| 2700.k2 |
2700b2 |
2700.k |
2700b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$1.763294$ |
$8429568/15625$ |
$1.06918$ |
$5.57190$ |
$[0, 0, 0, 37800, 4198500]$ |
\(y^2=x^3+37800x+4198500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[]$ |
| 2700.l1 |
2700l2 |
2700.l |
2700l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.345368857$ |
$1$ |
|
$6$ |
$324$ |
$0.002131$ |
$0$ |
|
$2.95326$ |
$[0, 0, 0, 0, -135]$ |
\(y^2=x^3-135\) |
|
$[(6, 9)]$ |
| 2700.l2 |
2700l1 |
2700.l |
2700l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.036106571$ |
$1$ |
|
$2$ |
$108$ |
$-0.547175$ |
$0$ |
|
$2.11897$ |
$[0, 0, 0, 0, 5]$ |
\(y^2=x^3+5\) |
|
$[(-1, 2)]$ |
| 2700.m1 |
2700a1 |
2700.m |
2700a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.664681$ |
$-5971968/25$ |
$1.09044$ |
$4.31685$ |
$[0, 0, 0, -1800, -29500]$ |
\(y^2=x^3-1800x-29500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[]$ |
| 2700.m2 |
2700a2 |
2700.m |
2700a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$1.213987$ |
$8429568/15625$ |
$1.06918$ |
$4.73762$ |
$[0, 0, 0, 4200, -155500]$ |
\(y^2=x^3+4200x-155500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[]$ |
| 2700.n1 |
2700j2 |
2700.n |
2700j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.8.0.1 |
3B.1.1 |
$12$ |
$16$ |
$0$ |
$0.987169817$ |
$1$ |
|
$10$ |
$3240$ |
$1.053640$ |
$16541040$ |
$0.94517$ |
$5.13037$ |
$[0, 0, 0, -15375, 733750]$ |
\(y^2=x^3-15375x+733750\) |
3.8.0-3.a.1.2, 12.16.0-12.b.1.4 |
$[(71, 6)]$ |
| 2700.n2 |
2700j1 |
2700.n |
2700j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.8.0.2 |
3B.1.2 |
$12$ |
$16$ |
$0$ |
$2.961509452$ |
$1$ |
|
$2$ |
$1080$ |
$0.504333$ |
$2160$ |
$0.69897$ |
$3.72033$ |
$[0, 0, 0, -375, -1250]$ |
\(y^2=x^3-375x-1250\) |
3.8.0-3.a.1.1, 12.16.0-12.b.1.2 |
$[(-6, 28)]$ |
| 2700.o1 |
2700q1 |
2700.o |
2700q |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.581779$ |
$768$ |
$0.64602$ |
$3.74858$ |
$[0, 0, 0, 375, 3125]$ |
\(y^2=x^3+375x+3125\) |
30.2.0.a.1 |
$[]$ |
| 2700.p1 |
2700i1 |
2700.p |
2700i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$30$ |
$2$ |
$0$ |
$1.395676020$ |
$1$ |
|
$4$ |
$4320$ |
$1.131084$ |
$768$ |
$0.64602$ |
$4.58286$ |
$[0, 0, 0, 3375, -84375]$ |
\(y^2=x^3+3375x-84375\) |
30.2.0.a.1 |
$[(25, 125)]$ |
| 2700.q1 |
2700r2 |
2700.q |
2700r |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.8.0.2 |
3B.1.2 |
$12$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9720$ |
$1.602945$ |
$16541040$ |
$0.94517$ |
$5.96465$ |
$[0, 0, 0, -138375, -19811250]$ |
\(y^2=x^3-138375x-19811250\) |
3.8.0-3.a.1.1, 12.16.0-12.b.1.2 |
$[]$ |
| 2700.q2 |
2700r1 |
2700.q |
2700r |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.8.0.1 |
3B.1.1 |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3240$ |
$1.053640$ |
$2160$ |
$0.69897$ |
$4.55462$ |
$[0, 0, 0, -3375, 33750]$ |
\(y^2=x^3-3375x+33750\) |
3.8.0-3.a.1.2, 12.16.0-12.b.1.4 |
$[]$ |
| 2700.r1 |
2700o2 |
2700.r |
2700o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1.324809194$ |
$1$ |
|
$2$ |
$2592$ |
$0.682207$ |
$-5267712/125$ |
$1.15142$ |
$4.23232$ |
$[0, 0, 0, -1425, 21125]$ |
\(y^2=x^3-1425x+21125\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 |
$[(20, 25)]$ |
| 2700.r2 |
2700o1 |
2700.r |
2700o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$0.441603064$ |
$1$ |
|
$4$ |
$864$ |
$0.132901$ |
$6912/5$ |
$0.69897$ |
$3.10923$ |
$[0, 0, 0, 75, 125]$ |
\(y^2=x^3+75x+125\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 |
$[(5, 25)]$ |
| 2700.s1 |
2700e2 |
2700.s |
2700e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$972$ |
$0.233180$ |
$0$ |
|
$3.30417$ |
$[0, 0, 0, 0, -540]$ |
\(y^2=x^3-540\) |
|
$[]$ |
| 2700.s2 |
2700e1 |
2700.s |
2700e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$324$ |
$-0.316126$ |
$0$ |
|
$2.46989$ |
$[0, 0, 0, 0, 20]$ |
\(y^2=x^3+20\) |
|
$[]$ |
| 2700.t1 |
2700f2 |
2700.t |
2700f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7776$ |
$1.231514$ |
$-5267712/125$ |
$1.15142$ |
$5.06660$ |
$[0, 0, 0, -12825, -570375]$ |
\(y^2=x^3-12825x-570375\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 |
$[]$ |
| 2700.t2 |
2700f1 |
2700.t |
2700f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.682207$ |
$6912/5$ |
$0.69897$ |
$3.94352$ |
$[0, 0, 0, 675, -3375]$ |
\(y^2=x^3+675x-3375\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 |
$[]$ |
| 2700.u1 |
2700u2 |
2700.u |
2700u |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$972$ |
$0.270370$ |
$0$ |
|
$3.36066$ |
$[0, 0, 0, 0, -675]$ |
\(y^2=x^3-675\) |
|
$[]$ |
| 2700.u2 |
2700u1 |
2700.u |
2700u |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$1$ |
|
$2$ |
$324$ |
$-0.278936$ |
$0$ |
|
$2.52637$ |
$[0, 0, 0, 0, 25]$ |
\(y^2=x^3+25\) |
|
$[]$ |
