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 |
1290.f1 |
1290h1 |
1290.f |
1290h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1068480$ |
$3.994469$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$9.94135$ |
$[1, 0, 1, 120229952, -3351306510322]$ |
\(y^2+xy+y=x^3+120229952x-3351306510322\) |
1720.2.0.? |
$[]$ |
3870.m1 |
3870u1 |
3870.m |
3870u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8547840$ |
$4.543777$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$9.41720$ |
$[1, -1, 1, 1082069572, 90485275778687]$ |
\(y^2+xy+y=x^3-x^2+1082069572x+90485275778687\) |
1720.2.0.? |
$[]$ |
6450.be1 |
6450x1 |
6450.be |
6450x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{15} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25643520$ |
$4.799187$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$9.21820$ |
$[1, 1, 1, 3005748812, -418913313790219]$ |
\(y^2+xy+y=x^3+x^2+3005748812x-418913313790219\) |
1720.2.0.? |
$[]$ |
10320.r1 |
10320w1 |
10320.r |
10320w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{65} \cdot 3^{8} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$7.131233936$ |
$1$ |
|
$2$ |
$25643520$ |
$4.687614$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.60453$ |
$[0, -1, 0, 1923679240, 214483616660592]$ |
\(y^2=x^3-x^2+1923679240x+214483616660592\) |
1720.2.0.? |
$[(-15646, 13437090)]$ |
19350.bh1 |
19350q1 |
19350.bh |
19350q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{15} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$205148160$ |
$5.348495$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.86000$ |
$[1, -1, 0, 27051739308, 11310686524075216]$ |
\(y^2+xy=x^3-x^2+27051739308x+11310686524075216\) |
1720.2.0.? |
$[]$ |
30960.w1 |
30960bh1 |
30960.w |
30960bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{65} \cdot 3^{14} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$120.4793189$ |
$1$ |
|
$0$ |
$205148160$ |
$5.236923$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.32781$ |
$[0, 0, 0, 17313113157, -5791074962949142]$ |
\(y^2=x^3+17313113157x-5791074962949142\) |
1720.2.0.? |
$[(2181027042449684377510415706448124200613444733588651698029/49398215478043577533923617, 102545506629820987078051101903766507214900284965584425641630312101229007919967583076352/49398215478043577533923617)]$ |
41280.d1 |
41280f1 |
41280.d |
41280f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{71} \cdot 3^{8} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$95.49504863$ |
$1$ |
|
$0$ |
$205148160$ |
$5.034187$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.87349$ |
$[0, -1, 0, 7694716959, -1715876628001695]$ |
\(y^2=x^3-x^2+7694716959x-1715876628001695\) |
1720.2.0.? |
$[(4893127057341171647728986425537640768294591/2458081462019461799, 10869708134086013600556638905758325109194082161556637800832301392/2458081462019461799)]$ |
41280.cn1 |
41280dc1 |
41280.cn |
41280dc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{71} \cdot 3^{8} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$205148160$ |
$5.034187$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.87349$ |
$[0, 1, 0, 7694716959, 1715876628001695]$ |
\(y^2=x^3+x^2+7694716959x+1715876628001695\) |
1720.2.0.? |
$[]$ |
51600.cd1 |
51600dl1 |
51600.cd |
51600dl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{65} \cdot 3^{8} \cdot 5^{15} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$615444480$ |
$5.492332$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.21823$ |
$[0, 1, 0, 48091980992, 26810548266535988]$ |
\(y^2=x^3+x^2+48091980992x+26810548266535988\) |
1720.2.0.? |
$[]$ |
55470.v1 |
55470u1 |
55470.v |
55470u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$7.995546653$ |
$1$ |
|
$0$ |
$1974551040$ |
$5.875069$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.58427$ |
$[1, 1, 1, 222305182134, 266453215936879959]$ |
\(y^2+xy+y=x^3+x^2+222305182134x+266453215936879959\) |
1720.2.0.? |
$[(86299249/13, 1573216498391/13)]$ |
63210.g1 |
63210e1 |
63210.g |
63210e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$143.2746333$ |
$1$ |
|
$0$ |
$352598400$ |
$4.967422$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.49753$ |
$[1, 1, 0, 5891267672, 1149504024308032]$ |
\(y^2+xy=x^3+x^2+5891267672x+1149504024308032\) |
1720.2.0.? |
$[(-128802546989073700589905461745776761256855103392015072624273461/95437170718382067389646624434, 28352296638983283633352805874827383779923137244430427226482715859949210610498712112761797373245/95437170718382067389646624434)]$ |
123840.ec1 |
123840ct1 |
123840.ec |
123840ct |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{71} \cdot 3^{14} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$14.77489290$ |
$1$ |
|
$0$ |
$1641185280$ |
$5.583496$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.69798$ |
$[0, 0, 0, 69252452628, 46328599703593136]$ |
\(y^2=x^3+69252452628x+46328599703593136\) |
1720.2.0.? |
$[(79087497430/1021, 242750140673163264/1021)]$ |
123840.gb1 |
123840gm1 |
123840.gb |
123840gm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{71} \cdot 3^{14} \cdot 5^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$28.52974936$ |
$1$ |
|
$0$ |
$1641185280$ |
$5.583496$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.69798$ |
$[0, 0, 0, 69252452628, -46328599703593136]$ |
\(y^2=x^3+69252452628x-46328599703593136\) |
1720.2.0.? |
$[(4311678981887534362/3088497, 8192408167920965192253440000/3088497)]$ |
154800.bd1 |
154800bq1 |
154800.bd |
154800bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{65} \cdot 3^{14} \cdot 5^{15} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$4923555840$ |
$6.041641$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.01430$ |
$[0, 0, 0, 432827828925, -723884370368642750]$ |
\(y^2=x^3+432827828925x-723884370368642750\) |
1720.2.0.? |
$[]$ |
156090.by1 |
156090i1 |
156090.by |
156090i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$0.247170855$ |
$1$ |
|
$6$ |
$1367654400$ |
$5.193420$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.15754$ |
$[1, 0, 0, 14547824250, 4460603513062500]$ |
\(y^2+xy=x^3+14547824250x+4460603513062500\) |
1720.2.0.? |
$[(597420, 475492650)]$ |
166410.bh1 |
166410bu1 |
166410.bh |
166410bu |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{9} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$15796408320$ |
$6.424377$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.34811$ |
$[1, -1, 0, 2000746639206, -7194234829549119692]$ |
\(y^2+xy=x^3-x^2+2000746639206x-7194234829549119692\) |
1720.2.0.? |
$[]$ |
189630.ea1 |
189630e1 |
189630.ea |
189630e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{9} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2820787200$ |
$5.516731$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.36216$ |
$[1, -1, 1, 53021409043, -31036555634907819]$ |
\(y^2+xy+y=x^3-x^2+53021409043x-31036555634907819\) |
1720.2.0.? |
$[]$ |
206400.w1 |
206400dx1 |
206400.w |
206400dx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{71} \cdot 3^{8} \cdot 5^{15} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4923555840$ |
$5.838905$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.62710$ |
$[0, -1, 0, 192367923967, 214484193764363937]$ |
\(y^2=x^3-x^2+192367923967x+214484193764363937\) |
1720.2.0.? |
$[]$ |
206400.js1 |
206400hs1 |
206400.js |
206400hs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{71} \cdot 3^{8} \cdot 5^{15} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$44.94276774$ |
$1$ |
|
$0$ |
$4923555840$ |
$5.838905$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.62710$ |
$[0, 1, 0, 192367923967, -214484193764363937]$ |
\(y^2=x^3+x^2+192367923967x-214484193764363937\) |
1720.2.0.? |
$[(17483911504416804268867387/5887351513, 21306297404763146228123305110405120000/5887351513)]$ |
218010.cd1 |
218010r1 |
218010.cd |
218010r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2397669120$ |
$5.276947$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.04454$ |
$[1, 0, 0, 20318861969, -7362840722038855]$ |
\(y^2+xy=x^3+20318861969x-7362840722038855\) |
1720.2.0.? |
$[]$ |
277350.be1 |
277350be1 |
277350.be |
277350be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{15} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$52.59934639$ |
$1$ |
|
$0$ |
$47389224960$ |
$6.679787$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$8.25241$ |
$[1, 0, 1, 5557629553349, 33306640876850888198]$ |
\(y^2+xy+y=x^3+5557629553349x+33306640876850888198\) |
1720.2.0.? |
$[(-32980419688295902998607298/4448854411, 388097219395081726481766437056590797636/4448854411)]$ |
316050.jn1 |
316050jn1 |
316050.jn |
316050jn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{15} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8462361600$ |
$5.772141$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.30721$ |
$[1, 0, 0, 147281691787, 143687708475120417]$ |
\(y^2+xy=x^3+147281691787x+143687708475120417\) |
1720.2.0.? |
$[]$ |
372810.k1 |
372810k1 |
372810.k |
372810k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 17^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5539000320$ |
$5.411079$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$6.87539$ |
$[1, 1, 0, 34746456267, -16465003631667027]$ |
\(y^2+xy=x^3+x^2+34746456267x-16465003631667027\) |
1720.2.0.? |
$[]$ |
443760.br1 |
443760br1 |
443760.br |
443760br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{65} \cdot 3^{8} \cdot 5^{9} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47389224960$ |
$6.568214$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.85115$ |
$[0, 1, 0, 3556882914144, -17052998706194489100]$ |
\(y^2=x^3+x^2+3556882914144x-17052998706194489100\) |
1720.2.0.? |
$[]$ |
465690.bu1 |
465690bu1 |
465690.bu |
465690bu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.616444072$ |
$1$ |
|
$4$ |
$6750656640$ |
$5.466690$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$6.80934$ |
$[1, 1, 1, 43403012845, 22986698160322577]$ |
\(y^2+xy+y=x^3+x^2+43403012845x+22986698160322577\) |
1720.2.0.? |
$[(8896227, 26537631886)]$ |
468270.ba1 |
468270ba1 |
468270.ba |
468270ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{9} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$505.9888380$ |
$1$ |
|
$0$ |
$10941235200$ |
$5.742722$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$7.06015$ |
$[1, -1, 0, 130930418250, -120436294852687500]$ |
\(y^2+xy=x^3-x^2+130930418250x-120436294852687500\) |
1720.2.0.? |
$[(174992003668085976860464442158522498941993638638662069775718284913409643035546323062408887292984808999579520515894563255703143160616458874871286092733254609082754341079079329372350199306707805725011255002457415981079842019/179427923603057170230277405133776396209211456672751364021253551826371069653881943650451507778424307005734523, 73321660791220339097611718423922035723065151317327242645966081841662568404394158874009395994101309321437187106013150210097247648058684066747459665517328999937541073996980498833690436897849357997086517526476054261829551608189874118905971543579502338744892743024966314609437507944091092010562387718016328451178243352153821475177865043/179427923603057170230277405133776396209211456672751364021253551826371069653881943650451507778424307005734523)]$ |