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 |
510.e4 |
510e3 |
510.e |
510e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.7 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$0.793592$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.36231$ |
$[1, 1, 1, -1440, 16305]$ |
\(y^2+xy+y=x^3+x^2-1440x+16305\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.11, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[]$ |
1530.b4 |
1530c4 |
1530.b |
1530c |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4096$ |
$1.342899$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.45785$ |
$[1, -1, 0, -12960, -453200]$ |
\(y^2+xy=x^3-x^2-12960x-453200\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 12.48.0-4.b.1.1, 24.96.0-8.b.1.7, $\ldots$ |
$[]$ |
2550.l4 |
2550h3 |
2550.l |
2550h |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$12288$ |
$1.598312$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.49315$ |
$[1, 0, 1, -36001, 2110148]$ |
\(y^2+xy+y=x^3-36001x+2110148\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 20.48.0-4.b.1.1, 24.96.0-8.b.1.9, $\ldots$ |
$[]$ |
4080.ba4 |
4080be4 |
4080.ba |
4080be |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.8 |
2Cs |
$4080$ |
$768$ |
$13$ |
$2.787974465$ |
$1$ |
|
$15$ |
$12288$ |
$1.486740$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.02157$ |
$[0, 1, 0, -23040, -1089612]$ |
\(y^2=x^3+x^2-23040x-1089612\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.1, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[(-69, 420)]$ |
7650.bx4 |
7650ca4 |
7650.bx |
7650ca |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.96 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$2.147617$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.55542$ |
$[1, -1, 1, -324005, -56974003]$ |
\(y^2+xy+y=x^3-x^2-324005x-56974003\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.3, 60.48.0-4.b.1.1, 120.192.1.?, $\ldots$ |
$[]$ |
8670.v4 |
8670v3 |
8670.v |
8670v |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.82 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.462948728$ |
$1$ |
|
$6$ |
$147456$ |
$2.210201$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.56156$ |
$[1, 0, 0, -416166, 83020500]$ |
\(y^2+xy=x^3-416166x+83020500\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.6, 68.48.0-4.b.1.1, 120.192.1.?, $\ldots$ |
$[(806, 16070)]$ |
12240.o4 |
12240bm3 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.681250514$ |
$1$ |
|
$7$ |
$98304$ |
$2.036045$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.13577$ |
$[0, 0, 0, -207363, 29212162]$ |
\(y^2=x^3-207363x+29212162\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 12.48.0-4.b.1.1, 24.96.0-8.b.1.1, $\ldots$ |
$[(111, 2750)]$ |
16320.m4 |
16320bt4 |
16320.m |
16320bt |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.75 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.844685513$ |
$1$ |
|
$5$ |
$98304$ |
$1.833313$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.73266$ |
$[0, -1, 0, -92161, -8624735]$ |
\(y^2=x^3-x^2-92161x-8624735\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.9, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[(615, 12920)]$ |
16320.bw4 |
16320bb3 |
16320.bw |
16320bb |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.74 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1.821059425$ |
$1$ |
|
$9$ |
$98304$ |
$1.833313$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.73266$ |
$[0, 1, 0, -92161, 8624735]$ |
\(y^2=x^3+x^2-92161x+8624735\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.5, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[(82, 1275)]$ |
20400.x4 |
20400bt4 |
20400.x |
20400bt |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$2.291458$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.18026$ |
$[0, -1, 0, -576008, -135049488]$ |
\(y^2=x^3-x^2-576008x-135049488\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 20.48.0-4.b.1.1, 24.96.0-8.b.1.9, $\ldots$ |
$[]$ |
24990.cb4 |
24990bx3 |
24990.cb |
24990bx |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$196608$ |
$1.766548$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.45440$ |
$[1, 0, 0, -70561, -5804359]$ |
\(y^2+xy=x^3-70561x-5804359\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 28.48.0-4.b.1.1, 56.96.0-8.b.1.7, $\ldots$ |
$[]$ |
26010.u4 |
26010r3 |
26010.u |
26010r |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$5.141064938$ |
$1$ |
|
$4$ |
$1179648$ |
$2.759506$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.60894$ |
$[1, -1, 0, -3745494, -2241553500]$ |
\(y^2+xy=x^3-x^2-3745494x-2241553500\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.6, 40.96.0-8.b.1.8, $\ldots$ |
$[(-1419, 15357)]$ |
43350.p4 |
43350b3 |
43350.p |
43350b |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$7.416286587$ |
$1$ |
|
$4$ |
$3538944$ |
$3.014919$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.62765$ |
$[1, 1, 0, -10404150, 10377562500]$ |
\(y^2+xy=x^3+x^2-10404150x+10377562500\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.12, 40.96.0-8.b.1.6, $\ldots$ |
$[(-2829, 132486)]$ |
48960.en4 |
48960fd3 |
48960.en |
48960fd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{22} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$2.382618$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.86159$ |
$[0, 0, 0, -829452, 233697296]$ |
\(y^2=x^3-829452x+233697296\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.3, 40.96.0-8.b.1.7, $\ldots$ |
$[]$ |
48960.et4 |
48960cl3 |
48960.et |
48960cl |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{22} \cdot 3^{10} \cdot 5^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$5.661198929$ |
$1$ |
|
$5$ |
$786432$ |
$2.382618$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.86159$ |
$[0, 0, 0, -829452, -233697296]$ |
\(y^2=x^3-829452x-233697296\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.5, 40.96.0-8.b.1.7, $\ldots$ |
$[(-1303/2, 11115/2)]$ |
61200.ek4 |
61200ff3 |
61200.ek |
61200ff |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.96 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$2.840763$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.26197$ |
$[0, 0, 0, -5184075, 3651520250]$ |
\(y^2=x^3-5184075x+3651520250\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.3, 60.48.0-4.b.1.1, 120.192.1.?, $\ldots$ |
$[]$ |
61710.o4 |
61710n3 |
61710.o |
61710n |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$44880$ |
$768$ |
$13$ |
$2.235819352$ |
$1$ |
|
$8$ |
$655360$ |
$1.992540$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.33521$ |
$[1, 1, 0, -174242, -22573404]$ |
\(y^2+xy=x^3+x^2-174242x-22573404\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 44.48.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(-203, 2219)]$ |
69360.q4 |
69360cb3 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.93 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$3538944$ |
$2.903347$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.27026$ |
$[0, -1, 0, -6658656, -5313312000]$ |
\(y^2=x^3-x^2-6658656x-5313312000\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.10, 68.48.0-4.b.1.1, 120.192.1.?, $\ldots$ |
$[]$ |
74970.bf4 |
74970bx3 |
74970.bf |
74970bx |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$0.624207326$ |
$1$ |
|
$18$ |
$1572864$ |
$2.315853$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.60567$ |
$[1, -1, 0, -635049, 156717693]$ |
\(y^2+xy=x^3-x^2-635049x+156717693\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 84.48.0.?, 120.96.1.?, $\ldots$ |
$[(142, 8259)]$ |
81600.cd4 |
81600c3 |
81600.cd |
81600c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{10} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$6.336950442$ |
$1$ |
|
$5$ |
$2359296$ |
$2.638031$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.91301$ |
$[0, -1, 0, -2304033, 1082699937]$ |
\(y^2=x^3-x^2-2304033x+1082699937\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.11, 40.96.0-8.b.1.5, $\ldots$ |
$[(-192, 38961)]$ |
81600.hw4 |
81600hu3 |
81600.hw |
81600hu |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{10} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$8.902816287$ |
$1$ |
|
$3$ |
$2359296$ |
$2.638031$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.91301$ |
$[0, 1, 0, -2304033, -1082699937]$ |
\(y^2=x^3+x^2-2304033x-1082699937\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.11, 40.96.0-8.b.1.9, $\ldots$ |
$[(-62103/8, 7936725/8)]$ |
86190.d4 |
86190d3 |
86190.d |
86190d |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$53040$ |
$768$ |
$13$ |
$2.751752545$ |
$1$ |
|
$24$ |
$1179648$ |
$2.076069$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.29595$ |
$[1, 1, 0, -243363, 37039293]$ |
\(y^2+xy=x^3+x^2-243363x+37039293\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 52.48.0-4.b.1.1, 104.96.0.?, $\ldots$ |
$[(399, 1713), (93, 3855)]$ |
124950.cc4 |
124950z3 |
124950.cc |
124950z |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1.887566598$ |
$1$ |
|
$8$ |
$4718592$ |
$2.571266$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.66637$ |
$[1, 1, 0, -1764025, -725544875]$ |
\(y^2+xy=x^3+x^2-1764025x-725544875\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 136.96.1.?, $\ldots$ |
$[(-911, 11701)]$ |
130050.fr4 |
130050bu3 |
130050.fr |
130050bu |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.65 |
2Cs |
$4080$ |
$768$ |
$13$ |
$16.52310749$ |
$1$ |
|
$2$ |
$28311552$ |
$3.564224$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.66239$ |
$[1, -1, 1, -93637355, -280287824853]$ |
\(y^2+xy+y=x^3-x^2-93637355x-280287824853\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.8, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[(7208278053/121, 611438680231406/121)]$ |
184110.w4 |
184110bc3 |
184110.w |
184110bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$77520$ |
$768$ |
$13$ |
$1.488148363$ |
$1$ |
|
$12$ |
$3538944$ |
$2.265812$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.21482$ |
$[1, 0, 1, -519848, -115995994]$ |
\(y^2+xy+y=x^3-519848x-115995994\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 76.48.0.?, 120.96.1.?, $\ldots$ |
$[(885, 10387)]$ |
185130.dv4 |
185130bg4 |
185130.dv |
185130bg |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$44880$ |
$768$ |
$13$ |
$1.972635317$ |
$1$ |
|
$12$ |
$5242880$ |
$2.541847$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.48600$ |
$[1, -1, 1, -1568183, 607913727]$ |
\(y^2+xy+y=x^3-x^2-1568183x+607913727\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 132.48.0.?, $\ldots$ |
$[(393, 7028)]$ |
199920.k4 |
199920dd4 |
199920.k |
199920dd |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$3.459772243$ |
$1$ |
|
$9$ |
$4718592$ |
$2.459694$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.37699$ |
$[0, -1, 0, -1128976, 371478976]$ |
\(y^2=x^3-x^2-1128976x+371478976\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 28.48.0-4.b.1.1, 56.96.0-8.b.1.1, $\ldots$ |
$[(826, 1350)]$ |
208080.fe4 |
208080o4 |
208080.fe |
208080o |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$28311552$ |
$3.452652$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.33572$ |
$[0, 0, 0, -59927907, 143519351906]$ |
\(y^2=x^3-59927907x+143519351906\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.4, 40.96.0-8.b.1.8, $\ldots$ |
$[]$ |
244800.ir4 |
244800ir4 |
244800.ir |
244800ir |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{10} \cdot 5^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.76 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$18874368$ |
$3.187340$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.00925$ |
$[0, 0, 0, -20736300, 29212162000]$ |
\(y^2=x^3-20736300x+29212162000\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.7, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[]$ |
244800.ko4 |
244800ko3 |
244800.ko |
244800ko |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{10} \cdot 5^{10} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.76 |
2Cs |
$4080$ |
$768$ |
$13$ |
$7.482286193$ |
$1$ |
|
$3$ |
$18874368$ |
$3.187340$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.00925$ |
$[0, 0, 0, -20736300, -29212162000]$ |
\(y^2=x^3-20736300x-29212162000\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.7, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[(175046/5, 51366656/5)]$ |
258570.ez4 |
258570ez3 |
258570.ez |
258570ez |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 13^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$53040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$9437184$ |
$2.625374$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.44617$ |
$[1, -1, 1, -2190272, -1002251181]$ |
\(y^2+xy+y=x^3-x^2-2190272x-1002251181\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 136.96.1.?, $\ldots$ |
$[]$ |
269790.bb4 |
269790bb3 |
269790.bb |
269790bb |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$93840$ |
$768$ |
$13$ |
$5.121159333$ |
$1$ |
|
$4$ |
$6488064$ |
$2.361340$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.17770$ |
$[1, 1, 1, -761771, -206002807]$ |
\(y^2+xy+y=x^3+x^2-761771x-206002807\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 92.48.0.?, 120.96.1.?, $\ldots$ |
$[(3741, 220204)]$ |
277440.dv4 |
277440dv4 |
277440.dv |
277440dv |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$28311552$ |
$3.249920$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.01915$ |
$[0, -1, 0, -26634625, 42533130625]$ |
\(y^2=x^3-x^2-26634625x+42533130625\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.12, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[]$ |
277440.ih4 |
277440ih3 |
277440.ih |
277440ih |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.80 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$28311552$ |
$3.249920$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.01915$ |
$[0, 1, 0, -26634625, -42533130625]$ |
\(y^2=x^3+x^2-26634625x-42533130625\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.1.2, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[]$ |
308550.iz4 |
308550iz3 |
308550.iz |
308550iz |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$44880$ |
$768$ |
$13$ |
$2.335043125$ |
$1$ |
|
$8$ |
$15728640$ |
$2.797260$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.54719$ |
$[1, 0, 0, -4356063, -2812963383]$ |
\(y^2+xy=x^3-4356063x-2812963383\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 136.96.1.?, $\ldots$ |
$[(-768, 9309)]$ |
346800.jc4 |
346800jc3 |
346800.jc |
346800jc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{10} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$4080$ |
$768$ |
$13$ |
$18.35484914$ |
$1$ |
|
$3$ |
$84934656$ |
$3.708065$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.36232$ |
$[0, 1, 0, -166466408, -664496932812]$ |
\(y^2=x^3+x^2-166466408x-664496932812\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 24.96.0-8.b.1.12, 40.96.0-8.b.1.10, $\ldots$ |
$[(-919438607/304, 2352227966025/304)]$ |
374850.iq4 |
374850iq4 |
374850.iq |
374850iq |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 7^{6} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$6.972819393$ |
$1$ |
|
$20$ |
$37748736$ |
$3.120571$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.78053$ |
$[1, -1, 1, -15876230, 19573835397]$ |
\(y^2+xy+y=x^3-x^2-15876230x+19573835397\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 56.96.0-8.b.1.9, 120.96.1.?, $\ldots$ |
$[(3159, 29045), (-61, 143355)]$ |
424830.fk4 |
424830fk3 |
424830.fk |
424830fk |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$56623104$ |
$3.183155$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.79230$ |
$[1, 1, 1, -20392135, -28496423635]$ |
\(y^2+xy+y=x^3+x^2-20392135x-28496423635\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 56.96.0-8.b.1.6, 120.96.1.?, $\ldots$ |
$[]$ |
428910.bh4 |
428910bh4 |
428910.bh |
428910bh |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$118320$ |
$768$ |
$13$ |
$1.871936918$ |
$1$ |
|
$8$ |
$12845056$ |
$2.477242$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.13560$ |
$[1, 0, 1, -1211058, 412199668]$ |
\(y^2+xy+y=x^3-1211058x+412199668\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 116.48.0.?, 120.96.1.?, $\ldots$ |
$[(2009, 77025)]$ |
430950.hp4 |
430950hp4 |
430950.hp |
430950hp |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$53040$ |
$768$ |
$13$ |
$3.477511325$ |
$1$ |
|
$6$ |
$28311552$ |
$2.880787$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.50735$ |
$[1, 0, 0, -6084088, 4642079792]$ |
\(y^2+xy=x^3-6084088x+4642079792\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 136.96.1.?, $\ldots$ |
$[(638, 31622)]$ |
490110.dd4 |
490110dd3 |
490110.dd |
490110dd |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$126480$ |
$768$ |
$13$ |
$4.174497689$ |
$1$ |
|
$4$ |
$14745600$ |
$2.510586$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.12404$ |
$[1, 0, 0, -1383860, -503737728]$ |
\(y^2+xy=x^3-1383860x-503737728\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 120.96.1.?, 124.48.0.?, $\ldots$ |
$[(-656, 11368)]$ |
493680.ha4 |
493680ha4 |
493680.ha |
493680ha |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.50 |
2Cs |
$44880$ |
$768$ |
$13$ |
$2.567012594$ |
$1$ |
|
$9$ |
$15728640$ |
$2.685688$ |
$330240275458561/67652010000$ |
$1.06774$ |
$4.28204$ |
$[0, 1, 0, -2787880, 1439122100]$ |
\(y^2=x^3+x^2-2787880x+1439122100\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 44.48.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(1415, 18150)]$ |