| 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 |
| 5070.g1 |
5070g2 |
5070.g |
5070g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.862549999$ |
$1$ |
|
$4$ |
$1920$ |
$0.210676$ |
$16718302693/90$ |
$0.96871$ |
$3.66127$ |
$[1, 1, 0, -692, 6726]$ |
\(y^2+xy=x^3+x^2-692x+6726\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(5, 56)]$ |
| 5070.m1 |
5070o2 |
5070.m |
5070o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.978281887$ |
$1$ |
|
$0$ |
$24960$ |
$1.493151$ |
$16718302693/90$ |
$0.96871$ |
$5.46522$ |
$[1, 1, 1, -117036, 15362043]$ |
\(y^2+xy+y=x^3+x^2-117036x+15362043\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(3173/4, -4563/4)]$ |
| 15210.q1 |
15210w2 |
15210.q |
15210w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$199680$ |
$2.042458$ |
$16718302693/90$ |
$0.96871$ |
$5.52623$ |
$[1, -1, 0, -1053324, -415828490]$ |
\(y^2+xy=x^3-x^2-1053324x-415828490\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 15210.bg1 |
15210bk2 |
15210.bg |
15210bk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15360$ |
$0.759982$ |
$16718302693/90$ |
$0.96871$ |
$3.92808$ |
$[1, -1, 1, -6233, -187833]$ |
\(y^2+xy+y=x^3-x^2-6233x-187833\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 25350.bm1 |
25350bj2 |
25350.bm |
25350bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$7.649920092$ |
$1$ |
|
$0$ |
$599040$ |
$2.297871$ |
$16718302693/90$ |
$0.96871$ |
$5.55010$ |
$[1, 0, 1, -2925901, 1926107198]$ |
\(y^2+xy+y=x^3-2925901x+1926107198\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(80602/9, -69236/9)]$ |
| 25350.cy1 |
25350db2 |
25350.cy |
25350db |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.015394$ |
$16718302693/90$ |
$0.96871$ |
$4.03245$ |
$[1, 0, 0, -17313, 875367]$ |
\(y^2+xy=x^3-17313x+875367\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 40560.bt1 |
40560cm2 |
40560.bt |
40560cm |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$599040$ |
$2.186298$ |
$16718302693/90$ |
$0.96871$ |
$5.17807$ |
$[0, 1, 0, -1872576, -986915916]$ |
\(y^2=x^3+x^2-1872576x-986915916\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 40560.cr1 |
40560cz2 |
40560.cr |
40560cz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$8.838240140$ |
$1$ |
|
$1$ |
$46080$ |
$0.903823$ |
$16718302693/90$ |
$0.96871$ |
$3.72765$ |
$[0, 1, 0, -11080, -452620]$ |
\(y^2=x^3+x^2-11080x-452620\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(4693/6, 125081/6)]$ |
| 76050.bt1 |
76050bz2 |
76050.bt |
76050bz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.019464470$ |
$1$ |
|
$2$ |
$368640$ |
$1.564701$ |
$16718302693/90$ |
$0.96871$ |
$4.22478$ |
$[1, -1, 0, -155817, -23634909]$ |
\(y^2+xy=x^3-x^2-155817x-23634909\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(529, 6198)]$ |
| 76050.ep1 |
76050fg2 |
76050.ep |
76050fg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{7} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4792320$ |
$2.847176$ |
$16718302693/90$ |
$0.96871$ |
$5.59407$ |
$[1, -1, 1, -26333105, -52004894353]$ |
\(y^2+xy+y=x^3-x^2-26333105x-52004894353\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 121680.bd1 |
121680eh2 |
121680.bd |
121680eh |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{8} \cdot 5 \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.711068106$ |
$1$ |
|
$17$ |
$368640$ |
$1.453129$ |
$16718302693/90$ |
$0.96871$ |
$3.94085$ |
$[0, 0, 0, -99723, 12121018]$ |
\(y^2=x^3-99723x+12121018\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(173, 216), (-259, 4536)]$ |
| 121680.eq1 |
121680fp2 |
121680.eq |
121680fp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{8} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$9.784208768$ |
$1$ |
|
$3$ |
$4792320$ |
$2.735603$ |
$16718302693/90$ |
$0.96871$ |
$5.25519$ |
$[0, 0, 0, -16853187, 26629876546]$ |
\(y^2=x^3-16853187x+26629876546\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(18750, 2510464)]$ |
| 162240.q1 |
162240do2 |
162240.q |
162240do |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$6.238533579$ |
$1$ |
|
$3$ |
$368640$ |
$1.250397$ |
$16718302693/90$ |
$0.96871$ |
$3.64357$ |
$[0, -1, 0, -44321, -3576639]$ |
\(y^2=x^3-x^2-44321x-3576639\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(903, 26304)]$ |
| 162240.df1 |
162240cs2 |
162240.df |
162240cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4792320$ |
$2.532871$ |
$16718302693/90$ |
$0.96871$ |
$4.92638$ |
$[0, -1, 0, -7490305, -7887837023]$ |
\(y^2=x^3-x^2-7490305x-7887837023\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 162240.fn1 |
162240gj2 |
162240.fn |
162240gj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.037546711$ |
$1$ |
|
$3$ |
$368640$ |
$1.250397$ |
$16718302693/90$ |
$0.96871$ |
$3.64357$ |
$[0, 1, 0, -44321, 3576639]$ |
\(y^2=x^3+x^2-44321x+3576639\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-230, 1287)]$ |
| 162240.hc1 |
162240ex2 |
162240.hc |
162240ex |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4792320$ |
$2.532871$ |
$16718302693/90$ |
$0.96871$ |
$4.92638$ |
$[0, 1, 0, -7490305, 7887837023]$ |
\(y^2=x^3+x^2-7490305x+7887837023\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 202800.cq1 |
202800fj2 |
202800.cq |
202800fj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{7} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$27.17681724$ |
$1$ |
|
$1$ |
$14376960$ |
$2.991016$ |
$16718302693/90$ |
$0.96871$ |
$5.28632$ |
$[0, -1, 0, -46814408, -123270860688]$ |
\(y^2=x^3-x^2-46814408x-123270860688\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(2674050057217/11259, 4105760216165622100/11259)]$ |
| 202800.dl1 |
202800fu2 |
202800.dl |
202800fu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.882186078$ |
$1$ |
|
$7$ |
$1105920$ |
$1.708542$ |
$16718302693/90$ |
$0.96871$ |
$4.02693$ |
$[0, -1, 0, -277008, -56023488]$ |
\(y^2=x^3-x^2-277008x-56023488\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-304, 8)]$ |
| 248430.cy1 |
248430cy2 |
248430.cy |
248430cy |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.183632$ |
$16718302693/90$ |
$0.96871$ |
$3.45411$ |
$[1, 0, 1, -33934, -2408794]$ |
\(y^2+xy+y=x^3-33934x-2408794\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 248430.ke1 |
248430ke2 |
248430.ke |
248430ke |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$9584640$ |
$2.466106$ |
$16718302693/90$ |
$0.96871$ |
$4.69292$ |
$[1, 0, 0, -5734765, -5286385105]$ |
\(y^2+xy=x^3-5734765x-5286385105\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 486720.du1 |
486720du2 |
486720.du |
486720du |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$38338560$ |
$3.082176$ |
$16718302693/90$ |
$0.96871$ |
$5.01645$ |
$[0, 0, 0, -67412748, 213039012368]$ |
\(y^2=x^3-67412748x+213039012368\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 486720.es1 |
486720es2 |
486720.es |
486720es |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$46.37714558$ |
$1$ |
|
$1$ |
$38338560$ |
$3.082176$ |
$16718302693/90$ |
$0.96871$ |
$5.01645$ |
$[0, 0, 0, -67412748, -213039012368]$ |
\(y^2=x^3-67412748x-213039012368\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(185209822166442363144/139099339, 368576358495596724485027647588/139099339)]$ |
| 486720.mg1 |
486720mg2 |
486720.mg |
486720mg |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.799704$ |
$16718302693/90$ |
$0.96871$ |
$3.84126$ |
$[0, 0, 0, -398892, -96968144]$ |
\(y^2=x^3-398892x-96968144\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[ ]$ |
| 486720.ng1 |
486720ng2 |
486720.ng |
486720ng |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.451844269$ |
$1$ |
|
$5$ |
$2949120$ |
$1.799704$ |
$16718302693/90$ |
$0.96871$ |
$3.84126$ |
$[0, 0, 0, -398892, 96968144]$ |
\(y^2=x^3-398892x+96968144\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(400, 1188)]$ |
