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 |
246.f2 |
246e2 |
246.f |
246e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$48$ |
$-0.183431$ |
$2703045457/544644$ |
$0.99714$ |
$3.94484$ |
$[1, 0, 0, -29, -51]$ |
\(y^2+xy=x^3-29x-51\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 164.24.0.?, 328.48.0.? |
$[ ]$ |
738.d2 |
738c2 |
738.d |
738c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$384$ |
$0.365875$ |
$2703045457/544644$ |
$0.99714$ |
$4.28673$ |
$[1, -1, 0, -261, 1377]$ |
\(y^2+xy=x^3-x^2-261x+1377\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[ ]$ |
1968.b2 |
1968i2 |
1968.b |
1968i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41 \) |
\( 2^{14} \cdot 3^{4} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$328$ |
$48$ |
$0$ |
$1.578599818$ |
$1$ |
|
$9$ |
$1152$ |
$0.509716$ |
$2703045457/544644$ |
$0.99714$ |
$3.95996$ |
$[0, -1, 0, -464, 3264]$ |
\(y^2=x^3-x^2-464x+3264\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 164.24.0.?, 328.48.0.? |
$[(-8, 80)]$ |
5904.m2 |
5904m2 |
5904.m |
5904m |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{10} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$3.246962395$ |
$1$ |
|
$7$ |
$9216$ |
$1.059021$ |
$2703045457/544644$ |
$0.99714$ |
$4.21807$ |
$[0, 0, 0, -4179, -83950]$ |
\(y^2=x^3-4179x-83950\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[(-25, 70)]$ |
6150.a2 |
6150i2 |
6150.a |
6150i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 41^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1640$ |
$48$ |
$0$ |
$1.710935737$ |
$1$ |
|
$30$ |
$6144$ |
$0.621287$ |
$2703045457/544644$ |
$0.99714$ |
$3.59623$ |
$[1, 1, 0, -725, -6375]$ |
\(y^2+xy=x^3+x^2-725x-6375\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[(35, 95), (71, 518)]$ |
7872.p2 |
7872g2 |
7872.p |
7872g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$9216$ |
$0.856289$ |
$2703045457/544644$ |
$0.99714$ |
$3.81162$ |
$[0, -1, 0, -1857, -24255]$ |
\(y^2=x^3-x^2-1857x-24255\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 164.24.0.?, 328.48.0.? |
$[ ]$ |
7872.bd2 |
7872bi2 |
7872.bd |
7872bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.856289$ |
$2703045457/544644$ |
$0.99714$ |
$3.81162$ |
$[0, 1, 0, -1857, 24255]$ |
\(y^2=x^3+x^2-1857x+24255\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 164.24.0.?, 328.48.0.? |
$[ ]$ |
10086.m2 |
10086n2 |
10086.m |
10086n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$80640$ |
$1.673355$ |
$2703045457/544644$ |
$0.99714$ |
$4.77270$ |
$[1, 1, 1, -48784, -3368659]$ |
\(y^2+xy+y=x^3+x^2-48784x-3368659\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 164.24.0.?, 328.48.0.? |
$[ ]$ |
12054.bd2 |
12054ba2 |
12054.bd |
12054ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2296$ |
$48$ |
$0$ |
$3.086115870$ |
$1$ |
|
$4$ |
$13824$ |
$0.789524$ |
$2703045457/544644$ |
$0.99714$ |
$3.55353$ |
$[1, 1, 1, -1422, 16071]$ |
\(y^2+xy+y=x^3+x^2-1422x+16071\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[(85, 677)]$ |
18450.bd2 |
18450bs2 |
18450.bd |
18450bs |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4920$ |
$48$ |
$0$ |
$2.415049353$ |
$1$ |
|
$6$ |
$49152$ |
$1.170593$ |
$2703045457/544644$ |
$0.99714$ |
$3.86508$ |
$[1, -1, 1, -6530, 165597]$ |
\(y^2+xy+y=x^3-x^2-6530x+165597\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 164.12.0.?, $\ldots$ |
$[(69, 165)]$ |
23616.g2 |
23616bu2 |
23616.g |
23616bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{10} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$4.045576746$ |
$1$ |
|
$7$ |
$73728$ |
$1.405596$ |
$2703045457/544644$ |
$0.99714$ |
$4.05037$ |
$[0, 0, 0, -16716, -671600]$ |
\(y^2=x^3-16716x-671600\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[(-96, 220)]$ |
23616.w2 |
23616k2 |
23616.w |
23616k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{10} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.405596$ |
$2703045457/544644$ |
$0.99714$ |
$4.05037$ |
$[0, 0, 0, -16716, 671600]$ |
\(y^2=x^3-16716x+671600\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[ ]$ |
29766.r2 |
29766t2 |
29766.r |
29766t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3608$ |
$48$ |
$0$ |
$0.907123881$ |
$1$ |
|
$12$ |
$61440$ |
$1.015516$ |
$2703045457/544644$ |
$0.99714$ |
$3.50496$ |
$[1, 0, 1, -3512, 64370]$ |
\(y^2+xy+y=x^3-3512x+64370\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 88.24.0.?, 164.12.0.?, $\ldots$ |
$[(54, 154)]$ |
30258.f2 |
30258g2 |
30258.f |
30258g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$645120$ |
$2.222660$ |
$2703045457/544644$ |
$0.99714$ |
$4.90338$ |
$[1, -1, 0, -439056, 90514732]$ |
\(y^2+xy=x^3-x^2-439056x+90514732\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 164.12.0.?, $\ldots$ |
$[ ]$ |
36162.i2 |
36162bh2 |
36162.i |
36162bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$6888$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.338829$ |
$2703045457/544644$ |
$0.99714$ |
$3.80961$ |
$[1, -1, 0, -12798, -446720]$ |
\(y^2+xy=x^3-x^2-12798x-446720\) |
2.6.0.a.1, 8.12.0.b.1, 84.12.0.?, 164.12.0.?, 168.24.0.?, $\ldots$ |
$[ ]$ |
41574.i2 |
41574h2 |
41574.i |
41574h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 13^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.099043$ |
$2703045457/544644$ |
$0.99714$ |
$3.48910$ |
$[1, 0, 1, -4905, -107144]$ |
\(y^2+xy+y=x^3-4905x-107144\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 164.12.0.?, $\ldots$ |
$[ ]$ |
49200.ea2 |
49200dr2 |
49200.ea |
49200dr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.314434$ |
$2703045457/544644$ |
$0.99714$ |
$3.67395$ |
$[0, 1, 0, -11608, 384788]$ |
\(y^2=x^3+x^2-11608x+384788\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[ ]$ |
71094.t2 |
71094q2 |
71094.t |
71094q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 17^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$5576$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$245760$ |
$1.233175$ |
$2703045457/544644$ |
$0.99714$ |
$3.46561$ |
$[1, 1, 1, -8387, -242179]$ |
\(y^2+xy+y=x^3+x^2-8387x-242179\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0-2.a.1.1, 136.24.0.?, 164.12.0.?, $\ldots$ |
$[ ]$ |
80688.bb2 |
80688bd2 |
80688.bb |
80688bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 41^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$328$ |
$48$ |
$0$ |
$8.322180118$ |
$1$ |
|
$3$ |
$1935360$ |
$2.366501$ |
$2703045457/544644$ |
$0.99714$ |
$4.63049$ |
$[0, 1, 0, -780544, 214033076]$ |
\(y^2=x^3+x^2-780544x+214033076\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 164.24.0.?, 328.48.0.? |
$[(-614/5, 1908816/5)]$ |
88806.c2 |
88806d2 |
88806.c |
88806d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 19^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$6232$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$331776$ |
$1.288788$ |
$2703045457/544644$ |
$0.99714$ |
$3.45652$ |
$[1, 1, 0, -10476, 328860]$ |
\(y^2+xy=x^3+x^2-10476x+328860\) |
2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 152.24.0.?, 164.12.0.?, $\ldots$ |
$[ ]$ |
89298.ci2 |
89298cs2 |
89298.ci |
89298cs |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 11^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$10824$ |
$48$ |
$0$ |
$6.889275138$ |
$1$ |
|
$2$ |
$491520$ |
$1.564823$ |
$2703045457/544644$ |
$0.99714$ |
$3.74541$ |
$[1, -1, 1, -31604, -1737997]$ |
\(y^2+xy+y=x^3-x^2-31604x-1737997\) |
2.6.0.a.1, 8.12.0.b.1, 132.12.0.?, 164.12.0.?, 264.24.0.?, $\ldots$ |
$[(-1079/3, 16805/3)]$ |
96432.cx2 |
96432cm2 |
96432.cx |
96432cm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2296$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$331776$ |
$1.482672$ |
$2703045457/544644$ |
$0.99714$ |
$3.63443$ |
$[0, 1, 0, -22752, -1074060]$ |
\(y^2=x^3+x^2-22752x-1074060\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[ ]$ |
124722.be2 |
124722bv2 |
124722.be |
124722bv |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 13^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$12792$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$1.648350$ |
$2703045457/544644$ |
$0.99714$ |
$3.72419$ |
$[1, -1, 1, -44141, 2892881]$ |
\(y^2+xy+y=x^3-x^2-44141x+2892881\) |
2.6.0.a.1, 8.12.0.b.1, 156.12.0.?, 164.12.0.?, 312.24.0.?, $\ldots$ |
$[ ]$ |
130134.y2 |
130134y2 |
130134.y |
130134y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 23^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$7544$ |
$48$ |
$0$ |
$6.644716901$ |
$1$ |
|
$4$ |
$608256$ |
$1.384315$ |
$2703045457/544644$ |
$0.99714$ |
$3.44170$ |
$[1, 0, 0, -15352, 589820]$ |
\(y^2+xy=x^3-15352x+589820\) |
2.6.0.a.1, 8.12.0.b.1, 92.12.0.?, 164.12.0.?, 184.24.0.?, $\ldots$ |
$[(20852, 3000614)]$ |
147600.ge2 |
147600ct2 |
147600.ge |
147600ct |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4920$ |
$48$ |
$0$ |
$4.013425193$ |
$1$ |
|
$7$ |
$1179648$ |
$1.863741$ |
$2703045457/544644$ |
$0.99714$ |
$3.88865$ |
$[0, 0, 0, -104475, -10493750]$ |
\(y^2=x^3-104475x-10493750\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 164.12.0.?, $\ldots$ |
$[(375, 1750)]$ |
196800.fc2 |
196800fo2 |
196800.fc |
196800fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1640$ |
$48$ |
$0$ |
$4.112044157$ |
$1$ |
|
$5$ |
$1179648$ |
$1.661009$ |
$2703045457/544644$ |
$0.99714$ |
$3.59730$ |
$[0, -1, 0, -46433, 3124737]$ |
\(y^2=x^3-x^2-46433x+3124737\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[(567, 12600)]$ |
196800.ga2 |
196800gt2 |
196800.ga |
196800gt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1640$ |
$48$ |
$0$ |
$3.347579520$ |
$1$ |
|
$7$ |
$1179648$ |
$1.661009$ |
$2703045457/544644$ |
$0.99714$ |
$3.59730$ |
$[0, 1, 0, -46433, -3124737]$ |
\(y^2=x^3+x^2-46433x-3124737\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[(-126, 861)]$ |
206886.b2 |
206886u2 |
206886.b |
206886u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 29^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 29^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$9512$ |
$48$ |
$0$ |
$6.968587548$ |
$1$ |
|
$2$ |
$1161216$ |
$1.500216$ |
$2703045457/544644$ |
$0.99714$ |
$3.42497$ |
$[1, 1, 0, -24406, -1195040]$ |
\(y^2+xy=x^3+x^2-24406x-1195040\) |
2.6.0.a.1, 8.12.0.b.1, 116.12.0.?, 164.12.0.?, 232.24.0.?, $\ldots$ |
$[(-1841/5, 61838/5)]$ |
213282.e2 |
213282be2 |
213282.e |
213282be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 17^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$16728$ |
$48$ |
$0$ |
$1.382425410$ |
$1$ |
|
$12$ |
$1966080$ |
$1.782482$ |
$2703045457/544644$ |
$0.99714$ |
$3.69252$ |
$[1, -1, 0, -75483, 6463345]$ |
\(y^2+xy=x^3-x^2-75483x+6463345\) |
2.6.0.a.1, 8.12.0.b.1, 164.12.0.?, 204.12.0.?, 328.24.0.?, $\ldots$ |
$[(-4, 2603)]$ |
236406.q2 |
236406q2 |
236406.q |
236406q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 31^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 31^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$10168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1382400$ |
$1.533562$ |
$2703045457/544644$ |
$0.99714$ |
$3.42039$ |
$[1, 1, 1, -27889, 1435691]$ |
\(y^2+xy+y=x^3+x^2-27889x+1435691\) |
2.6.0.a.1, 8.12.0.b.1, 124.12.0.?, 164.12.0.?, 248.24.0.?, $\ldots$ |
$[ ]$ |
238128.r2 |
238128r2 |
238128.r |
238128r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3608$ |
$48$ |
$0$ |
$4.659002487$ |
$1$ |
|
$7$ |
$1474560$ |
$1.708664$ |
$2703045457/544644$ |
$0.99714$ |
$3.58811$ |
$[0, -1, 0, -56184, -4119696]$ |
\(y^2=x^3-x^2-56184x-4119696\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 88.24.0.?, 164.12.0.?, $\ldots$ |
$[(-182, 210)]$ |
242064.cf2 |
242064cf2 |
242064.cf |
242064cf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 41^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$984$ |
$48$ |
$0$ |
$32.37349568$ |
$1$ |
|
$3$ |
$15482880$ |
$2.915810$ |
$2703045457/544644$ |
$0.99714$ |
$4.75185$ |
$[0, 0, 0, -7024899, -5785917950]$ |
\(y^2=x^3-7024899x-5785917950\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 164.12.0.?, $\ldots$ |
$[(-140513719934825/323811, 1186646000531409974710/323811)]$ |
252150.bd2 |
252150bd2 |
252150.bd |
252150bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$10321920$ |
$2.478073$ |
$2703045457/544644$ |
$0.99714$ |
$4.31393$ |
$[1, 0, 1, -1219601, -418643152]$ |
\(y^2+xy+y=x^3-1219601x-418643152\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 164.12.0.?, $\ldots$ |
$[ ]$ |
266418.bi2 |
266418bi2 |
266418.bi |
266418bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 19^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$18696$ |
$48$ |
$0$ |
$17.50160467$ |
$1$ |
|
$2$ |
$2654208$ |
$1.838095$ |
$2703045457/544644$ |
$0.99714$ |
$3.68019$ |
$[1, -1, 1, -94289, -8973507]$ |
\(y^2+xy+y=x^3-x^2-94289x-8973507\) |
2.6.0.a.1, 8.12.0.b.1, 164.12.0.?, 228.12.0.?, 328.24.0.?, $\ldots$ |
$[(-44797061/459, 125784324370/459)]$ |
289296.bf2 |
289296bf2 |
289296.bf |
289296bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{10} \cdot 7^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$6888$ |
$48$ |
$0$ |
$1.561037521$ |
$1$ |
|
$13$ |
$2654208$ |
$2.031979$ |
$2703045457/544644$ |
$0.99714$ |
$3.84109$ |
$[0, 0, 0, -204771, 28794850]$ |
\(y^2=x^3-204771x+28794850\) |
2.6.0.a.1, 8.12.0.b.1, 84.12.0.?, 164.12.0.?, 168.24.0.?, $\ldots$ |
$[(63, 4018)]$ |
301350.bw2 |
301350bw2 |
301350.bw |
301350bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$11480$ |
$48$ |
$0$ |
$1.010265459$ |
$1$ |
|
$14$ |
$1769472$ |
$1.594242$ |
$2703045457/544644$ |
$0.99714$ |
$3.41230$ |
$[1, 0, 1, -35551, 2079998]$ |
\(y^2+xy+y=x^3-35551x+2079998\) |
2.6.0.a.1, 8.12.0.b.1, 140.12.0.?, 164.12.0.?, 280.24.0.?, $\ldots$ |
$[(-8, 1541)]$ |
322752.bz2 |
322752bz2 |
322752.bz |
322752bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 41^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$15482880$ |
$2.713074$ |
$2703045457/544644$ |
$0.99714$ |
$4.45229$ |
$[0, -1, 0, -3122177, 1715386785]$ |
\(y^2=x^3-x^2-3122177x+1715386785\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 164.24.0.?, 328.48.0.? |
$[ ]$ |
322752.do2 |
322752do2 |
322752.do |
322752do |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 41^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 41^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$328$ |
$48$ |
$0$ |
$38.41612221$ |
$1$ |
|
$7$ |
$15482880$ |
$2.713074$ |
$2703045457/544644$ |
$0.99714$ |
$4.45229$ |
$[0, 1, 0, -3122177, -1715386785]$ |
\(y^2=x^3+x^2-3122177x-1715386785\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 164.24.0.?, 328.48.0.? |
$[(-1205, 17280), (-161807/11, 11153160/11)]$ |
332592.be2 |
332592be2 |
332592.be |
332592be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{4} \cdot 13^{6} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2654208$ |
$1.792191$ |
$2703045457/544644$ |
$0.99714$ |
$3.57265$ |
$[0, -1, 0, -78472, 6857200]$ |
\(y^2=x^3-x^2-78472x+6857200\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 104.24.0.?, 164.12.0.?, $\ldots$ |
$[ ]$ |
336774.m2 |
336774m2 |
336774.m |
336774m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 37^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 37^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$12136$ |
$48$ |
$0$ |
$7.809201534$ |
$1$ |
|
$2$ |
$2488320$ |
$1.622028$ |
$2703045457/544644$ |
$0.99714$ |
$3.40870$ |
$[1, 0, 1, -39730, -2464144]$ |
\(y^2+xy+y=x^3-39730x-2464144\) |
2.6.0.a.1, 8.12.0.b.1, 148.12.0.?, 164.12.0.?, 296.24.0.?, $\ldots$ |
$[(-7389/10, 299911/10)]$ |
385728.x2 |
385728x2 |
385728.x |
385728x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 7^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2296$ |
$48$ |
$0$ |
$4.440903104$ |
$1$ |
|
$7$ |
$2654208$ |
$1.829245$ |
$2703045457/544644$ |
$0.99714$ |
$3.56605$ |
$[0, -1, 0, -91009, -8501471]$ |
\(y^2=x^3-x^2-91009x-8501471\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 164.12.0.?, $\ldots$ |
$[(343, 720)]$ |
385728.fp2 |
385728fp2 |
385728.fp |
385728fp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 41 \) |
\( 2^{20} \cdot 3^{4} \cdot 7^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2296$ |
$48$ |
$0$ |
$3.176933112$ |
$1$ |
|
$9$ |
$2654208$ |
$1.829245$ |
$2703045457/544644$ |
$0.99714$ |
$3.56605$ |
$[0, 1, 0, -91009, 8501471]$ |
\(y^2=x^3+x^2-91009x+8501471\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 164.12.0.?, $\ldots$ |
$[(235, 384)]$ |
390402.c2 |
390402c2 |
390402.c |
390402c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 23^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$22632$ |
$48$ |
$0$ |
$2.563681369$ |
$1$ |
|
$8$ |
$4866048$ |
$1.933622$ |
$2703045457/544644$ |
$0.99714$ |
$3.66000$ |
$[1, -1, 0, -138168, -15925140]$ |
\(y^2+xy=x^3-x^2-138168x-15925140\) |
2.6.0.a.1, 8.12.0.b.1, 164.12.0.?, 276.12.0.?, 328.24.0.?, $\ldots$ |
$[(543, 8031)]$ |
454854.d2 |
454854d2 |
454854.d |
454854d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 41^{2} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$14104$ |
$48$ |
$0$ |
$5.760127486$ |
$1$ |
|
$2$ |
$3870720$ |
$1.697168$ |
$2703045457/544644$ |
$0.99714$ |
$3.39928$ |
$[1, 1, 0, -53659, 3840265]$ |
\(y^2+xy=x^3+x^2-53659x+3840265\) |
2.6.0.a.1, 8.12.0.b.1, 164.12.0.?, 172.12.0.?, 328.24.0.?, $\ldots$ |
$[(13165/3, 1473320/3)]$ |
494214.ef2 |
494214ef2 |
494214.ef |
494214ef |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 41^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2296$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$23224320$ |
$2.646309$ |
$2703045457/544644$ |
$0.99714$ |
$4.24649$ |
$[1, 0, 0, -2390417, 1148278725]$ |
\(y^2+xy=x^3-2390417x+1148278725\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.3, 164.12.0.?, $\ldots$ |
$[ ]$ |