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 |
289800.a1 |
289800a1 |
289800.a |
289800a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.381083$ |
$7680778992/462875$ |
$0.82881$ |
$3.28058$ |
$[0, 0, 0, -19575, -997750]$ |
\(y^2=x^3-19575x-997750\) |
2.3.0.a.1, 210.6.0.?, 276.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
289800.a2 |
289800a2 |
289800.a |
289800a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{12} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$1.727655$ |
$851104692/17609375$ |
$0.86893$ |
$3.49801$ |
$[0, 0, 0, 14925, -4137250]$ |
\(y^2=x^3+14925x-4137250\) |
2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[]$ |
289800.b1 |
289800b2 |
289800.b |
289800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.112469$ |
$117636968738/20539575$ |
$0.85604$ |
$3.92494$ |
$[0, 0, 0, -291675, 50665750]$ |
\(y^2=x^3-291675x+50665750\) |
2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.? |
$[]$ |
289800.b2 |
289800b1 |
289800.b |
289800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.765898$ |
$5756278756/499905$ |
$0.81186$ |
$3.62992$ |
$[0, 0, 0, -84675, -8743250]$ |
\(y^2=x^3-84675x-8743250\) |
2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.? |
$[]$ |
289800.c1 |
289800c1 |
289800.c |
289800c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{16} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$23.46218234$ |
$1$ |
|
$1$ |
$82575360$ |
$3.614700$ |
$5224645130090610708304/67370009765625$ |
$0.98725$ |
$5.70895$ |
$[0, 0, 0, -516464175, -4517556340750]$ |
\(y^2=x^3-516464175x-4517556340750\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-1211463008605/9601, 4989267326726800/9601)]$ |
289800.c2 |
289800c2 |
289800.c |
289800c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5^{11} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$11.73109117$ |
$1$ |
|
$1$ |
$165150720$ |
$3.961277$ |
$-1202345928696155427076/148724718496003125$ |
$0.98899$ |
$5.71777$ |
$[0, 0, 0, -502401675, -4775167278250]$ |
\(y^2=x^3-502401675x-4775167278250\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(27977665/26, 118326324375/26)]$ |
289800.d1 |
289800d1 |
289800.d |
289800d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.816990519$ |
$1$ |
|
$2$ |
$2350080$ |
$1.923208$ |
$187878620/255507$ |
$0.81165$ |
$3.63761$ |
$[0, 0, 0, 79125, 9953750]$ |
\(y^2=x^3+79125x+9953750\) |
966.2.0.? |
$[(175, 5400)]$ |
289800.e1 |
289800e1 |
289800.e |
289800e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1.106950590$ |
$1$ |
|
$21$ |
$368640$ |
$0.952462$ |
$10536048/5635$ |
$0.69608$ |
$2.75647$ |
$[0, 0, 0, -2175, -10750]$ |
\(y^2=x^3-2175x-10750\) |
2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(65, 350), (-10, 100)]$ |
289800.e2 |
289800e2 |
289800.e |
289800e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$4.427802360$ |
$1$ |
|
$13$ |
$737280$ |
$1.299036$ |
$147704148/92575$ |
$0.79316$ |
$3.07663$ |
$[0, 0, 0, 8325, -84250]$ |
\(y^2=x^3+8325x-84250\) |
2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.? |
$[(35, 500), (410, 8500)]$ |
289800.f1 |
289800f1 |
289800.f |
289800f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$4.398547150$ |
$1$ |
|
$2$ |
$921600$ |
$1.468782$ |
$138240/161$ |
$0.59904$ |
$3.19293$ |
$[0, 0, 0, 13500, -607500]$ |
\(y^2=x^3+13500x-607500\) |
966.2.0.? |
$[(76, 926)]$ |
289800.g1 |
289800g2 |
289800.g |
289800g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.778967550$ |
$1$ |
|
$3$ |
$2621440$ |
$2.014973$ |
$26860713266/7394247$ |
$0.89749$ |
$3.80751$ |
$[0, 0, 0, -178275, 20978750]$ |
\(y^2=x^3-178275x+20978750\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(550, 9450)]$ |
289800.g2 |
289800g1 |
289800.g |
289800g |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$5.557935101$ |
$1$ |
|
$1$ |
$1310720$ |
$1.668398$ |
$224727548/299943$ |
$0.85386$ |
$3.39330$ |
$[0, 0, 0, 28725, 2141750]$ |
\(y^2=x^3+28725x+2141750\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(985/4, 130275/4)]$ |
289800.h1 |
289800h1 |
289800.h |
289800h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.171728868$ |
$1$ |
|
$10$ |
$423936$ |
$1.066238$ |
$-16857676800/85169$ |
$0.85639$ |
$3.08783$ |
$[0, 0, 0, -8700, 313700]$ |
\(y^2=x^3-8700x+313700\) |
966.2.0.? |
$[(64, 138), (56, 46)]$ |
289800.i1 |
289800i1 |
289800.i |
289800i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{11} \cdot 7^{3} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$12.32032039$ |
$1$ |
|
$1$ |
$16220160$ |
$2.919048$ |
$4867860927988386828/299954571875$ |
$0.97476$ |
$5.00226$ |
$[0, 0, 0, -26691075, -53073055250]$ |
\(y^2=x^3-26691075x-53073055250\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(-21678874/85, 23932374/85)]$ |
289800.i2 |
289800i2 |
289800.i |
289800i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{16} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$24.64064078$ |
$1$ |
|
$1$ |
$32440320$ |
$3.265621$ |
$-2025082127708317494/607776572265625$ |
$0.97932$ |
$5.02086$ |
$[0, 0, 0, -25104075, -59660692250]$ |
\(y^2=x^3-25104075x-59660692250\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(159455784846/5185, 1370770861432894/5185)]$ |
289800.j1 |
289800j3 |
289800.j |
289800j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10223616$ |
$2.488117$ |
$58687749106564/1988856345$ |
$0.89917$ |
$4.36378$ |
$[0, 0, 0, -1836075, 929137750]$ |
\(y^2=x^3-1836075x+929137750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
289800.j2 |
289800j2 |
289800.j |
289800j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5111808$ |
$2.141544$ |
$864848456656/285779025$ |
$0.86248$ |
$3.91822$ |
$[0, 0, 0, -283575, -38069750]$ |
\(y^2=x^3-283575x-38069750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
289800.j3 |
289800j1 |
289800.j |
289800j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2555904$ |
$1.794971$ |
$10115186538496/2113125$ |
$0.89487$ |
$3.89331$ |
$[0, 0, 0, -255450, -49685375]$ |
\(y^2=x^3-255450x-49685375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
289800.j4 |
289800j4 |
289800.j |
289800j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10223616$ |
$2.488117$ |
$5207251926236/5553444645$ |
$0.90087$ |
$4.17119$ |
$[0, 0, 0, 818925, -261877250]$ |
\(y^2=x^3+818925x-261877250\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$ |
$[]$ |
289800.k1 |
289800k2 |
289800.k |
289800k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1843200$ |
$1.860157$ |
$5756278756/2705927$ |
$0.89317$ |
$3.62992$ |
$[0, 0, 0, -84675, 4108750]$ |
\(y^2=x^3-84675x+4108750\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
289800.k2 |
289800k1 |
289800.k |
289800k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$1.513584$ |
$253012016/181447$ |
$0.84073$ |
$3.27126$ |
$[0, 0, 0, 18825, 486250]$ |
\(y^2=x^3+18825x+486250\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
289800.l1 |
289800l4 |
289800.l |
289800l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{30} \cdot 5^{7} \cdot 7^{5} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$42.87438209$ |
$1$ |
|
$1$ |
$849346560$ |
$4.904350$ |
$49737293673675178002921218/6641736806881023047235$ |
$1.02443$ |
$6.60269$ |
$[0, 0, 0, -21891657675, 1093451708915750]$ |
\(y^2=x^3-21891657675x+1093451708915750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 280.12.0.?, 420.12.0.?, $\ldots$ |
$[(-12865965859644325970/9312639, 26493738292343673051382532150/9312639)]$ |
289800.l2 |
289800l2 |
289800.l |
289800l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{8} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19320$ |
$48$ |
$0$ |
$21.43719104$ |
$1$ |
|
$3$ |
$424673280$ |
$4.557777$ |
$89516703758060574923008036/1985322833430374025$ |
$1.02181$ |
$6.59431$ |
$[0, 0, 0, -21135342675, 1182643180550750]$ |
\(y^2=x^3-21135342675x+1182643180550750\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 280.12.0.?, 420.12.0.?, 644.12.0.?, $\ldots$ |
$[(68154187270/903, 68109463695050/903)]$ |
289800.l3 |
289800l1 |
289800.l |
289800l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$10.71859552$ |
$1$ |
|
$1$ |
$212336640$ |
$4.211205$ |
$358061097267989271289240144/176126855625$ |
$1.02181$ |
$6.59431$ |
$[0, 0, 0, -21135230175, 1182656400313250]$ |
\(y^2=x^3-21135230175x+1182656400313250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 280.12.0.?, 322.6.0.?, $\ldots$ |
$[(36978355/21, 389416600/21)]$ |
289800.l4 |
289800l3 |
289800.l |
289800l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{7} \cdot 7^{20} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$42.87438209$ |
$1$ |
|
$1$ |
$849346560$ |
$4.904350$ |
$-40133926989810174413190818/6689384645060302103835$ |
$1.02369$ |
$6.60576$ |
$[0, 0, 0, -20380827675, 1270988587385750]$ |
\(y^2=x^3-20380827675x+1270988587385750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$ |
$[(20646750998608591630/2634051, 93710387221245372448495653650/2634051)]$ |
289800.m1 |
289800m2 |
289800.m |
289800m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$5.169292077$ |
$1$ |
|
$9$ |
$196608$ |
$0.762721$ |
$417948444/3703$ |
$0.83742$ |
$2.77543$ |
$[0, 0, 0, -2355, -43650]$ |
\(y^2=x^3-2355x-43650\) |
2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.? |
$[(-29, 16), (-26, 2)]$ |
289800.m2 |
289800m1 |
289800.m |
289800m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9660$ |
$12$ |
$0$ |
$1.292323019$ |
$1$ |
|
$21$ |
$98304$ |
$0.416148$ |
$2122416/1127$ |
$0.75113$ |
$2.24517$ |
$[0, 0, 0, -255, 450]$ |
\(y^2=x^3-255x+450\) |
2.3.0.a.1, 420.6.0.?, 644.6.0.?, 690.6.0.?, 9660.12.0.? |
$[(1, 14), (-6, 42)]$ |
289800.n1 |
289800n1 |
289800.n |
289800n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.832124584$ |
$1$ |
|
$4$ |
$180480$ |
$0.691545$ |
$276480/161$ |
$0.68817$ |
$2.50250$ |
$[0, 0, 0, 750, 625]$ |
\(y^2=x^3+750x+625\) |
966.2.0.? |
$[(0, 25)]$ |
289800.o1 |
289800o1 |
289800.o |
289800o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2496000$ |
$1.981749$ |
$-1248716800/1159683$ |
$0.85629$ |
$3.76573$ |
$[0, 0, 0, -108750, 22278125]$ |
\(y^2=x^3-108750x+22278125\) |
966.2.0.? |
$[]$ |
289800.p1 |
289800p1 |
289800.p |
289800p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.170734206$ |
$1$ |
|
$4$ |
$516096$ |
$1.278273$ |
$-1024/12075$ |
$0.85602$ |
$3.07286$ |
$[0, 0, 0, -300, -285500]$ |
\(y^2=x^3-300x-285500\) |
966.2.0.? |
$[(80, 450)]$ |
289800.q1 |
289800q1 |
289800.q |
289800q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.173513119$ |
$1$ |
|
$4$ |
$1044480$ |
$1.490568$ |
$-3525581824/23667$ |
$0.85715$ |
$3.48163$ |
$[0, 0, 0, -45300, 3732500]$ |
\(y^2=x^3-45300x+3732500\) |
966.2.0.? |
$[(100, 450)]$ |
289800.r1 |
289800r1 |
289800.r |
289800r |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{13} \cdot 5^{4} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$1.586824$ |
$55947622400/186264603$ |
$0.92342$ |
$3.34807$ |
$[0, 0, 0, 15450, -1611475]$ |
\(y^2=x^3+15450x-1611475\) |
966.2.0.? |
$[]$ |
289800.s1 |
289800s1 |
289800.s |
289800s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{17} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10982400$ |
$2.678791$ |
$-3091626087530320/28520667$ |
$0.93032$ |
$4.82469$ |
$[0, 0, 0, -12678375, 17375886250]$ |
\(y^2=x^3-12678375x+17375886250\) |
966.2.0.? |
$[]$ |
289800.t1 |
289800t1 |
289800.t |
289800t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$7.674690335$ |
$1$ |
|
$0$ |
$2580480$ |
$2.069698$ |
$3200000/255507$ |
$0.96297$ |
$3.82682$ |
$[0, 0, 0, 37500, 32712500]$ |
\(y^2=x^3+37500x+32712500\) |
966.2.0.? |
$[(-5756/5, 430722/5)]$ |
289800.u1 |
289800u1 |
289800.u |
289800u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$3.062897089$ |
$1$ |
|
$2$ |
$1843200$ |
$1.835489$ |
$163945479168/241600625$ |
$0.87802$ |
$3.55861$ |
$[0, 0, 0, 54300, 6056500]$ |
\(y^2=x^3+54300x+6056500\) |
966.2.0.? |
$[(140, 4050)]$ |
289800.v1 |
289800v1 |
289800.v |
289800v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{13} \cdot 5^{9} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$3.990966185$ |
$1$ |
|
$3$ |
$14336000$ |
$2.798340$ |
$36740974400912/4284085869$ |
$0.90981$ |
$4.60022$ |
$[0, 0, 0, -4947375, -3784868750]$ |
\(y^2=x^3-4947375x-3784868750\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(2801, 65826)]$ |
289800.v2 |
289800v2 |
289800.v |
289800v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{20} \cdot 5^{9} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$7.981932371$ |
$1$ |
|
$1$ |
$28672000$ |
$3.144913$ |
$25520019813292/123979339449$ |
$0.95078$ |
$4.84055$ |
$[0, 0, 0, 6955125, -19198606250]$ |
\(y^2=x^3+6955125x-19198606250\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(19459/3, 2082052/3)]$ |
289800.w1 |
289800w1 |
289800.w |
289800w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.628284$ |
$-50/161$ |
$0.82220$ |
$3.40679$ |
$[0, 0, 0, -1875, -2331250]$ |
\(y^2=x^3-1875x-2331250\) |
1288.2.0.? |
$[]$ |
289800.x1 |
289800x2 |
289800.x |
289800x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.237389$ |
$1030541881826/62236321$ |
$0.92068$ |
$4.09750$ |
$[0, 0, 0, -601275, -169834250]$ |
\(y^2=x^3-601275x-169834250\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
289800.x2 |
289800x1 |
289800.x |
289800x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.890814$ |
$1969910093092/7889$ |
$0.91859$ |
$4.09390$ |
$[0, 0, 0, -592275, -175441250]$ |
\(y^2=x^3-592275x-175441250\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
289800.y1 |
289800y1 |
289800.y |
289800y |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{13} \cdot 5^{4} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$1.787413$ |
$-143906968900/17253243$ |
$0.88240$ |
$3.64489$ |
$[0, 0, 0, -84675, 10419950]$ |
\(y^2=x^3-84675x+10419950\) |
966.2.0.? |
$[]$ |
289800.z1 |
289800z1 |
289800.z |
289800z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.264730230$ |
$1$ |
|
$8$ |
$1536000$ |
$1.773252$ |
$-2927549440/39123$ |
$0.81269$ |
$3.72369$ |
$[0, 0, 0, -124500, 17102500]$ |
\(y^2=x^3-124500x+17102500\) |
966.2.0.? |
$[(350, 4050)]$ |
289800.ba1 |
289800ba3 |
289800.ba |
289800ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2760$ |
$48$ |
$0$ |
$4.971067855$ |
$1$ |
|
$3$ |
$8388608$ |
$2.514694$ |
$369937818893666/123409881$ |
$1.03140$ |
$4.56528$ |
$[0, 0, 0, -4273275, 3399101750]$ |
\(y^2=x^3-4273275x+3399101750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(1246, 3006)]$ |
289800.ba2 |
289800ba4 |
289800.ba |
289800ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$4.971067855$ |
$1$ |
|
$3$ |
$8388608$ |
$2.514694$ |
$48260105780546/1193313807$ |
$0.94726$ |
$4.40334$ |
$[0, 0, 0, -2167275, -1201536250]$ |
\(y^2=x^3-2167275x-1201536250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[(-850, 5150)]$ |
289800.ba3 |
289800ba2 |
289800.ba |
289800ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2760$ |
$48$ |
$0$ |
$2.485533927$ |
$1$ |
|
$9$ |
$4194304$ |
$2.168121$ |
$267100692772/102880449$ |
$1.00917$ |
$3.93503$ |
$[0, 0, 0, -304275, 37358750]$ |
\(y^2=x^3-304275x+37358750\) |
2.6.0.a.1, 8.12.0.a.1, 60.12.0-2.a.1.1, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[(70, 4050)]$ |
289800.ba4 |
289800ba1 |
289800.ba |
289800ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$1.242766963$ |
$1$ |
|
$7$ |
$2097152$ |
$1.821548$ |
$8284506032/7394247$ |
$0.88021$ |
$3.54865$ |
$[0, 0, 0, 60225, 4189250]$ |
\(y^2=x^3+60225x+4189250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(85, 3150)]$ |
289800.bb1 |
289800bb1 |
289800.bb |
289800bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40550400$ |
$3.382240$ |
$718269868008155236/197344270832625$ |
$0.96271$ |
$5.11216$ |
$[0, 0, 0, -42312675, -76776763250]$ |
\(y^2=x^3-42312675x-76776763250\) |
2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.? |
$[]$ |
289800.bb2 |
289800bb2 |
289800.bb |
289800bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{16} \cdot 5^{12} \cdot 7^{5} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$81100800$ |
$3.728813$ |
$6131006771007815422/8203108300734375$ |
$1.04525$ |
$5.35936$ |
$[0, 0, 0, 108950325, -501372004250]$ |
\(y^2=x^3+108950325x-501372004250\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
289800.bc1 |
289800bc4 |
289800.bc |
289800bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$55.21897978$ |
$1$ |
|
$5$ |
$18874368$ |
$2.973515$ |
$127847420666360642/17899707105$ |
$0.95008$ |
$5.03004$ |
$[0, 0, 0, -29988075, -63200200250]$ |
\(y^2=x^3-29988075x-63200200250\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[(6414, 91238), (32154, 5675908)]$ |
289800.bc2 |
289800bc3 |
289800.bc |
289800bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{11} \cdot 3^{18} \cdot 5^{10} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$13.80474494$ |
$1$ |
|
$5$ |
$18874368$ |
$2.973515$ |
$8579021289461282/374333754375$ |
$0.93641$ |
$4.81524$ |
$[0, 0, 0, -12186075, 15744217750]$ |
\(y^2=x^3-12186075x+15744217750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(830, 78750), (4830, 263750)]$ |