| 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 |
| 104040.a1 |
104040cl4 |
104040.a |
104040cl |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$4.192245948$ |
$1$ |
|
$3$ |
$1310720$ |
$2.035316$ |
$546718898/405$ |
$0.99169$ |
$4.44362$ |
$[0, 0, 0, -562683, 162354998]$ |
\(y^2=x^3-562683x+162354998\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(766, 13446)]$ |
| 104040.a2 |
104040cl3 |
104040.a |
104040cl |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$4.192245948$ |
$1$ |
|
$3$ |
$1310720$ |
$2.035316$ |
$136835858/1875$ |
$0.97925$ |
$4.32372$ |
$[0, 0, 0, -354603, -80307898]$ |
\(y^2=x^3-354603x-80307898\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(782, 10982)]$ |
| 104040.a3 |
104040cl2 |
104040.a |
104040cl |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$2.096122974$ |
$1$ |
|
$9$ |
$655360$ |
$1.688742$ |
$470596/225$ |
$1.13245$ |
$3.77270$ |
$[0, 0, 0, -42483, 1405118]$ |
\(y^2=x^3-42483x+1405118\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(323, 4624)]$ |
| 104040.a4 |
104040cl1 |
104040.a |
104040cl |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1.048061487$ |
$1$ |
|
$7$ |
$327680$ |
$1.342169$ |
$21296/15$ |
$0.85611$ |
$3.38475$ |
$[0, 0, 0, 9537, 167042]$ |
\(y^2=x^3+9537x+167042\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(17, 578)]$ |
| 104040.b1 |
104040ck2 |
104040.b |
104040ck |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.385858820$ |
$1$ |
|
$5$ |
$2088960$ |
$2.291855$ |
$7304528/45$ |
$0.83151$ |
$4.62581$ |
$[0, 0, 0, -1134903, -462873382]$ |
\(y^2=x^3-1134903x-462873382\) |
2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-587, 1026)]$ |
| 104040.b2 |
104040ck1 |
104040.b |
104040ck |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$6.771717640$ |
$1$ |
|
$3$ |
$1044480$ |
$1.945280$ |
$-2048/75$ |
$0.88377$ |
$4.03817$ |
$[0, 0, 0, -29478, -15618427]$ |
\(y^2=x^3-29478x-15618427\) |
2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(3538, 210159)]$ |
| 104040.c1 |
104040cm1 |
104040.c |
104040cm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.670267350$ |
$1$ |
|
$5$ |
$184320$ |
$1.139824$ |
$240945152/91125$ |
$1.09684$ |
$3.21696$ |
$[0, 0, 0, -4998, 80053]$ |
\(y^2=x^3-4998x+80053\) |
2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(98, 729)]$ |
| 104040.c2 |
104040cm2 |
104040.c |
104040cm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.835133675$ |
$1$ |
|
$7$ |
$368640$ |
$1.486397$ |
$462951088/421875$ |
$0.93513$ |
$3.51348$ |
$[0, 0, 0, 15657, 571642]$ |
\(y^2=x^3+15657x+571642\) |
2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(17, 918)]$ |
| 104040.d1 |
104040w1 |
104040.d |
104040w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$24.82890921$ |
$1$ |
|
$0$ |
$7931520$ |
$2.970043$ |
$3374596798/1953125$ |
$1.14976$ |
$5.09166$ |
$[0, 0, 0, 6824157, -75001858]$ |
\(y^2=x^3+6824157x-75001858\) |
40.2.0.a.1 |
$[(3272743762/8321, 9066870923250708/8321)]$ |
| 104040.e1 |
104040d1 |
104040.e |
104040d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.557487581$ |
$1$ |
|
$4$ |
$221184$ |
$1.268621$ |
$-5038848/2125$ |
$0.81216$ |
$3.38002$ |
$[0, 0, 0, -7803, 348823]$ |
\(y^2=x^3-7803x+348823\) |
510.2.0.? |
$[(51, 289)]$ |
| 104040.f1 |
104040e1 |
104040.f |
104040e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.607908107$ |
$1$ |
|
$4$ |
$23040$ |
$0.203150$ |
$940032/625$ |
$1.03262$ |
$2.20631$ |
$[0, 0, 0, 102, 153]$ |
\(y^2=x^3+102x+153\) |
6.2.0.a.1 |
$[(4, 25)]$ |
| 104040.g1 |
104040b2 |
104040.g |
104040b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$8.472815529$ |
$1$ |
|
$1$ |
$983040$ |
$1.978903$ |
$3721734/25$ |
$1.06284$ |
$4.29699$ |
$[0, 0, 0, -319923, 69243822]$ |
\(y^2=x^3-319923x+69243822\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(81634/5, 22995152/5)]$ |
| 104040.g2 |
104040b1 |
104040.g |
104040b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$4.236407764$ |
$1$ |
|
$3$ |
$491520$ |
$1.632330$ |
$-108/5$ |
$1.29203$ |
$3.71303$ |
$[0, 0, 0, -7803, 2387718]$ |
\(y^2=x^3-7803x+2387718\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(3247, 184960)]$ |
| 104040.h1 |
104040cf1 |
104040.h |
104040cf |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.960985513$ |
$1$ |
|
$2$ |
$110592$ |
$0.983388$ |
$85525504/10125$ |
$1.07081$ |
$3.12205$ |
$[0, 0, 0, -3468, -70108]$ |
\(y^2=x^3-3468x-70108\) |
10.2.0.a.1 |
$[(-32, 90)]$ |
| 104040.i1 |
104040br1 |
104040.i |
104040br |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$5.196350662$ |
$1$ |
|
$6$ |
$522240$ |
$1.721703$ |
$186624/125$ |
$0.77446$ |
$3.78308$ |
$[0, 0, 0, 44217, -1419857]$ |
\(y^2=x^3+44217x-1419857\) |
510.2.0.? |
$[(578, 14739), (289/3, 4913/3)]$ |
| 104040.j1 |
104040t1 |
104040.j |
104040t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.309698408$ |
$1$ |
|
$6$ |
$705024$ |
$1.893044$ |
$-34816/675$ |
$0.88216$ |
$3.98431$ |
$[0, 0, 0, -29478, 11442377]$ |
\(y^2=x^3-29478x+11442377\) |
6.2.0.a.1 |
$[(1156, 39015)]$ |
| 104040.k1 |
104040cc1 |
104040.k |
104040cc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.287710688$ |
$1$ |
|
$4$ |
$783360$ |
$2.057457$ |
$-44103737752144/3228504075$ |
$0.98438$ |
$4.27092$ |
$[0, 0, 0, -278103, -59912998]$ |
\(y^2=x^3-278103x-59912998\) |
6.2.0.a.1 |
$[(2449, 118098)]$ |
| 104040.l1 |
104040cb1 |
104040.l |
104040cb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.900234680$ |
$1$ |
|
$4$ |
$81920$ |
$0.761263$ |
$87808/1215$ |
$0.87077$ |
$2.80271$ |
$[0, 0, 0, 357, 12427]$ |
\(y^2=x^3+357x+12427\) |
510.2.0.? |
$[(17, 153)]$ |
| 104040.m1 |
104040cd1 |
104040.m |
104040cd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.360323032$ |
$1$ |
|
$4$ |
$368640$ |
$1.484402$ |
$-30118144/255$ |
$0.88843$ |
$3.77395$ |
$[0, 0, 0, -42483, 3394883]$ |
\(y^2=x^3-42483x+3394883\) |
510.2.0.? |
$[(-119, 2601)]$ |
| 104040.n1 |
104040j4 |
104040.n |
104040j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.435863$ |
$647158135396/6885$ |
$0.93033$ |
$4.99616$ |
$[0, 0, 0, -4724283, 3952282502]$ |
\(y^2=x^3-4724283x+3952282502\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[]$ |
| 104040.n2 |
104040j3 |
104040.n |
104040j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.435863$ |
$7793764996/1252815$ |
$0.89511$ |
$4.61362$ |
$[0, 0, 0, -1082883, -368602738]$ |
\(y^2=x^3-1082883x-368602738\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.3, 60.12.0.h.1, $\ldots$ |
$[]$ |
| 104040.n3 |
104040j2 |
104040.n |
104040j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$884736$ |
$2.089291$ |
$680136784/65025$ |
$0.84522$ |
$4.28252$ |
$[0, 0, 0, -302583, 58533482]$ |
\(y^2=x^3-302583x+58533482\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 60.24.0-60.a.1.8, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 104040.n4 |
104040j1 |
104040.n |
104040j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.742718$ |
$4499456/31875$ |
$0.87658$ |
$3.81757$ |
$[0, 0, 0, 22542, 4367657]$ |
\(y^2=x^3+22542x+4367657\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.3, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 104040.o1 |
104040k4 |
104040.o |
104040k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$3.344753$ |
$40472803590982276/281883375$ |
$0.99750$ |
$5.95210$ |
$[0, 0, 0, -187522563, 988384202638]$ |
\(y^2=x^3-187522563x+988384202638\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.3, 60.12.0.h.1, $\ldots$ |
$[]$ |
| 104040.o2 |
104040k2 |
104040.o |
104040k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7962624$ |
$2.998180$ |
$41948679809104/3291890625$ |
$0.95346$ |
$5.23726$ |
$[0, 0, 0, -11955063, 14792188138]$ |
\(y^2=x^3-11955063x+14792188138\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 60.24.0-60.a.1.8, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 104040.o3 |
104040k1 |
104040.o |
104040k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{3} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.651608$ |
$5951163357184/1129312125$ |
$0.97411$ |
$4.82822$ |
$[0, 0, 0, -2474418, -1228205783]$ |
\(y^2=x^3-2474418x-1228205783\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[]$ |
| 104040.o4 |
104040k3 |
104040.o |
104040k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$3.344753$ |
$10400706415004/112060546875$ |
$1.00063$ |
$5.48488$ |
$[0, 0, 0, 11922117, 66505384582]$ |
\(y^2=x^3+11922117x+66505384582\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 104040.p1 |
104040bq2 |
104040.p |
104040bq |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.604675$ |
$3572225388/265625$ |
$0.88811$ |
$4.83138$ |
$[0, 0, 0, -2504763, 1424406438]$ |
\(y^2=x^3-2504763x+1424406438\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 104040.p2 |
104040bq1 |
104040.p |
104040bq |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$2.258099$ |
$2963088/36125$ |
$0.84886$ |
$4.35686$ |
$[0, 0, 0, 148257, 98427042]$ |
\(y^2=x^3+148257x+98427042\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 104040.q1 |
104040i4 |
104040.q |
104040i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.597778$ |
$84944038338/2088025$ |
$0.95338$ |
$4.88039$ |
$[0, 0, 0, -3024963, 1981540638]$ |
\(y^2=x^3-3024963x+1981540638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 136.24.0.?, $\ldots$ |
$[]$ |
| 104040.q2 |
104040i2 |
104040.q |
104040i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.251202$ |
$467720676/180625$ |
$0.97507$ |
$4.37011$ |
$[0, 0, 0, -423963, -61284762]$ |
\(y^2=x^3-423963x-61284762\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 68.12.0.b.1, $\ldots$ |
$[]$ |
| 104040.q3 |
104040i1 |
104040.q |
104040i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.904631$ |
$1263257424/425$ |
$0.87614$ |
$4.33611$ |
$[0, 0, 0, -371943, -87284358]$ |
\(y^2=x^3-371943x-87284358\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.1, $\ldots$ |
$[]$ |
| 104040.q4 |
104040i3 |
104040.q |
104040i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.597778$ |
$7462174302/6640625$ |
$1.02004$ |
$4.66986$ |
$[0, 0, 0, 1344717, -440136018]$ |
\(y^2=x^3+1344717x-440136018\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.3, $\ldots$ |
$[]$ |
| 104040.r1 |
104040by4 |
104040.r |
104040by |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$5.736660789$ |
$1$ |
|
$3$ |
$1769472$ |
$2.400387$ |
$142315306276/31875$ |
$0.91748$ |
$4.86506$ |
$[0, 0, 0, -2851563, 1853055862]$ |
\(y^2=x^3-2851563x+1853055862\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 68.12.0-4.c.1.2, $\ldots$ |
$[(15147, 1853068)]$ |
| 104040.r2 |
104040by2 |
104040.r |
104040by |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$2.868330394$ |
$1$ |
|
$9$ |
$884736$ |
$2.053814$ |
$192143824/65025$ |
$0.84117$ |
$4.17310$ |
$[0, 0, 0, -198543, 21941458]$ |
\(y^2=x^3-198543x+21941458\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 60.24.0-60.b.1.5, 68.12.0-2.a.1.1, $\ldots$ |
$[(389, 1890)]$ |
| 104040.r3 |
104040by1 |
104040.r |
104040by |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$5.736660789$ |
$1$ |
|
$3$ |
$442368$ |
$1.707241$ |
$212629504/6885$ |
$0.85495$ |
$3.94187$ |
$[0, 0, 0, -81498, -8700923]$ |
\(y^2=x^3-81498x-8700923\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(3782, 231903)]$ |
| 104040.r4 |
104040by3 |
104040.r |
104040by |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$5.736660789$ |
$1$ |
|
$3$ |
$1769472$ |
$2.400387$ |
$1208446844/1252815$ |
$1.08469$ |
$4.45227$ |
$[0, 0, 0, 581757, 151939438]$ |
\(y^2=x^3+581757x+151939438\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 30.6.0.a.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(-189, 5936)]$ |
| 104040.s1 |
104040l1 |
104040.s |
104040l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{5} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.354774$ |
$203622820864/28125$ |
$1.05941$ |
$3.79508$ |
$[0, 0, 0, -46308, -3835132]$ |
\(y^2=x^3-46308x-3835132\) |
10.2.0.a.1 |
$[]$ |
| 104040.t1 |
104040a1 |
104040.t |
104040a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$0.919426130$ |
$1$ |
|
$4$ |
$92160$ |
$0.854402$ |
$186624/125$ |
$0.77446$ |
$2.88219$ |
$[0, 0, 0, 1377, 7803]$ |
\(y^2=x^3+1377x+7803\) |
510.2.0.? |
$[(51, 459)]$ |
| 104040.u1 |
104040ca1 |
104040.u |
104040ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{13} \cdot 5^{3} \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$6.534799592$ |
$1$ |
|
$2$ |
$7741440$ |
$3.102577$ |
$64347918907136/388153407375$ |
$1.00188$ |
$5.22847$ |
$[0, 0, 0, 5471637, -15122710213]$ |
\(y^2=x^3+5471637x-15122710213\) |
510.2.0.? |
$[(18409, 2514807)]$ |
| 104040.v1 |
104040m1 |
104040.v |
104040m |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.610628448$ |
$1$ |
|
$8$ |
$64512$ |
$0.642103$ |
$23324/75$ |
$0.78242$ |
$2.66291$ |
$[0, 0, 0, 357, 5542]$ |
\(y^2=x^3+357x+5542\) |
6.2.0.a.1 |
$[(-1, 72), (-9, 40)]$ |
| 104040.w1 |
104040s1 |
104040.w |
104040s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.168142366$ |
$1$ |
|
$2$ |
$230400$ |
$1.368782$ |
$6154544/6075$ |
$0.89965$ |
$3.38475$ |
$[0, 0, 0, 9537, 301138]$ |
\(y^2=x^3+9537x+301138\) |
6.2.0.a.1 |
$[(-1, 540)]$ |
| 104040.x1 |
104040bz1 |
104040.x |
104040bz |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{27} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$2.423630772$ |
$1$ |
|
$0$ |
$2580480$ |
$2.529961$ |
$-4868914236046592/1307544150375$ |
$1.03727$ |
$4.70605$ |
$[0, 0, 0, -1361343, 739737983]$ |
\(y^2=x^3-1361343x+739737983\) |
510.2.0.? |
$[(43537/2, 9034497/2)]$ |
| 104040.y1 |
104040ce2 |
104040.y |
104040ce |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$4.179224288$ |
$1$ |
|
$3$ |
$786432$ |
$1.877260$ |
$19960071154/4100625$ |
$0.96800$ |
$4.01929$ |
$[0, 0, 0, -109803, 11247302]$ |
\(y^2=x^3-109803x+11247302\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(26, 2900)]$ |
| 104040.y2 |
104040ce1 |
104040.y |
104040ce |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$2.089612144$ |
$1$ |
|
$5$ |
$393216$ |
$1.530685$ |
$33610279748/2025$ |
$0.95771$ |
$4.00439$ |
$[0, 0, 0, -103683, 12849518]$ |
\(y^2=x^3-103683x+12849518\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(34, 3060)]$ |
| 104040.z1 |
104040u1 |
104040.z |
104040u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.510481033$ |
$1$ |
|
$6$ |
$103680$ |
$0.887826$ |
$295936/5$ |
$0.80840$ |
$3.12205$ |
$[0, 0, 0, -3468, -77452]$ |
\(y^2=x^3-3468x-77452\) |
10.2.0.a.1 |
$[(-34, 34)]$ |
| 104040.ba1 |
104040p1 |
104040.ba |
104040p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12579840$ |
$3.124630$ |
$-1853341262928948120784/1483154296875$ |
$1.05503$ |
$5.78008$ |
$[0, 0, 0, -96686463, 365929079762]$ |
\(y^2=x^3-96686463x+365929079762\) |
6.2.0.a.1 |
$[]$ |
| 104040.bb1 |
104040o1 |
104040.bb |
104040o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3525120$ |
$2.569813$ |
$-1156/125$ |
$0.93296$ |
$4.68674$ |
$[0, 0, 0, -250563, -661653362]$ |
\(y^2=x^3-250563x-661653362\) |
20.2.0.a.1 |
$[]$ |
| 104040.bc1 |
104040c1 |
104040.bc |
104040c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$7.231811828$ |
$1$ |
|
$2$ |
$737280$ |
$1.950397$ |
$-22864543488/7099285$ |
$1.02882$ |
$4.09868$ |
$[0, 0, 0, -129183, -22152717]$ |
\(y^2=x^3-129183x-22152717\) |
510.2.0.? |
$[(3171, 177351)]$ |
| 104040.bd1 |
104040v1 |
104040.bd |
104040v |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{15} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.036815962$ |
$1$ |
|
$2$ |
$3234816$ |
$2.613632$ |
$-271395189079204/307546875$ |
$1.03119$ |
$5.02856$ |
$[0, 0, 0, -5348523, 4765667222]$ |
\(y^2=x^3-5348523x+4765667222\) |
6.2.0.a.1 |
$[(1471, 9000)]$ |
