| 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 |
| 3990.p4 |
3990p4 |
3990.p |
3990p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1.232948134$ |
$1$ |
|
$6$ |
$24576$ |
$1.738939$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.23644$ |
$[1, 0, 1, 39542, -3098644]$ |
\(y^2+xy+y=x^3+39542x-3098644\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$ |
$[(160, 2627)]$ |
| 11970.bg4 |
11970bp4 |
11970.bg |
11970bp |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$2.437658500$ |
$1$ |
|
$4$ |
$196608$ |
$2.288246$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.32578$ |
$[1, -1, 1, 355882, 83663381]$ |
\(y^2+xy+y=x^3-x^2+355882x+83663381\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$ |
$[(391, 16611)]$ |
| 19950.ci4 |
19950by4 |
19950.ci |
19950by |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.194054001$ |
$1$ |
|
$4$ |
$589824$ |
$2.543659$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.36056$ |
$[1, 1, 1, 988562, -387330469]$ |
\(y^2+xy+y=x^3+x^2+988562x-387330469\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(655, 22947)]$ |
| 27930.g4 |
27930g3 |
27930.g |
27930g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{14} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.747133431$ |
$1$ |
|
$6$ |
$1179648$ |
$2.711895$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.38158$ |
$[1, 1, 0, 1937582, 1064772388]$ |
\(y^2+xy=x^3+x^2+1937582x+1064772388\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-456, 9538)]$ |
| 31920.bc4 |
31920bf3 |
31920.bc |
31920bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$2.428576011$ |
$1$ |
|
$9$ |
$589824$ |
$2.432087$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.98853$ |
$[0, -1, 0, 632680, 198313200]$ |
\(y^2=x^3-x^2+632680x+198313200\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 152.24.0.?, $\ldots$ |
$[(-230, 6370)]$ |
| 59850.cu4 |
59850bs3 |
59850.cu |
59850bs |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.051192335$ |
$1$ |
|
$6$ |
$4718592$ |
$3.092964$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.42443$ |
$[1, -1, 0, 8897058, 10466819716]$ |
\(y^2+xy=x^3-x^2+8897058x+10466819716\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(848, 136034)]$ |
| 75810.cj4 |
75810cl3 |
75810.cj |
75810cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8847360$ |
$3.211159$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.43654$ |
$[1, 1, 1, 14274835, 21282147155]$ |
\(y^2+xy+y=x^3+x^2+14274835x+21282147155\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 83790.ff4 |
83790fj3 |
83790.ff |
83790fj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{14} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9437184$ |
$3.261200$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.44151$ |
$[1, -1, 1, 17438233, -28731416241]$ |
\(y^2+xy+y=x^3-x^2+17438233x-28731416241\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 95760.by4 |
95760dp3 |
95760.by |
95760dp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1.488892584$ |
$1$ |
|
$13$ |
$4718592$ |
$2.981392$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.08541$ |
$[0, 0, 0, 5694117, -5360150518]$ |
\(y^2=x^3+5694117x-5360150518\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 152.24.0.?, $\ldots$ |
$[(1181, 54880)]$ |
| 127680.h4 |
127680e3 |
127680.h |
127680e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.778660$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.75406$ |
$[0, -1, 0, 2530719, -1589036319]$ |
\(y^2=x^3-x^2+2530719x-1589036319\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 127680.eu4 |
127680fe3 |
127680.eu |
127680fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.778660$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.75406$ |
$[0, 1, 0, 2530719, 1589036319]$ |
\(y^2=x^3+x^2+2530719x+1589036319\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 139650.ic4 |
139650bt3 |
139650.ic |
139650bt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{14} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$3.261278914$ |
$1$ |
|
$4$ |
$28311552$ |
$3.516613$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.46559$ |
$[1, 0, 0, 48439537, 132999669417]$ |
\(y^2+xy=x^3+48439537x+132999669417\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 140.12.0.?, $\ldots$ |
$[(-188, 352069)]$ |
| 159600.ek4 |
159600cb3 |
159600.ek |
159600cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$3.236805$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.12441$ |
$[0, 1, 0, 15816992, 24820783988]$ |
\(y^2=x^3+x^2+15816992x+24820783988\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 223440.em4 |
223440cg4 |
223440.em |
223440cg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 7^{14} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28311552$ |
$3.405041$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.14833$ |
$[0, 1, 0, 31001304, -68083430220]$ |
\(y^2=x^3+x^2+31001304x-68083430220\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 227430.i4 |
227430fd4 |
227430.i |
227430fd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$456$ |
$48$ |
$0$ |
$5.053004559$ |
$1$ |
|
$0$ |
$70778880$ |
$3.760464$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.48672$ |
$[1, -1, 0, 128473515, -574489499675]$ |
\(y^2+xy=x^3-x^2+128473515x-574489499675\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[(2205635/2, 3274150945/2)]$ |
| 379050.em4 |
379050em3 |
379050.em |
379050em |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$212336640$ |
$4.015877$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.50714$ |
$[1, 0, 1, 356870874, 2659554652648]$ |
\(y^2+xy+y=x^3+356870874x+2659554652648\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 383040.jl4 |
383040jl3 |
383040.jl |
383040jl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37748736$ |
$3.327965$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.86054$ |
$[0, 0, 0, 22776468, 42881204144]$ |
\(y^2=x^3+22776468x+42881204144\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 383040.nk4 |
383040nk4 |
383040.nk |
383040nk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$6.529048418$ |
$1$ |
|
$3$ |
$37748736$ |
$3.327965$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.86054$ |
$[0, 0, 0, 22776468, -42881204144]$ |
\(y^2=x^3+22776468x-42881204144\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(6032, 560340)]$ |
| 418950.dy4 |
418950dy4 |
418950.dy |
418950dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{14} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$226492416$ |
$4.065918$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.51095$ |
$[1, -1, 0, 435955833, -3590991074259]$ |
\(y^2+xy=x^3-x^2+435955833x-3590991074259\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 140.12.0.?, $\ldots$ |
$[]$ |
| 478800.ef4 |
478800ef4 |
478800.ef |
478800ef |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$113246208$ |
$3.786110$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$5.19796$ |
$[0, 0, 0, 142352925, -670018814750]$ |
\(y^2=x^3+142352925x-670018814750\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 482790.ib4 |
482790ib3 |
482790.ib |
482790ib |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$0.645166795$ |
$1$ |
|
$8$ |
$35389440$ |
$2.937885$ |
$6837784281928633319/8113766016106800$ |
$1.05240$ |
$4.41691$ |
$[1, 0, 0, 4784640, 4129079472]$ |
\(y^2+xy=x^3+4784640x+4129079472\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(714, 88578)]$ |
