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 |
39.a2 |
39a3 |
39.a |
39a |
$4$ |
$4$ |
\( 3 \cdot 13 \) |
\( 3 \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.318367$ |
$822656953/85683$ |
$0.96086$ |
$5.60330$ |
$[1, 1, 0, -19, 22]$ |
\(y^2+xy=x^3+x^2-19x+22\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
117.a2 |
117a3 |
117.a |
117a |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \) |
\( 3^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$0.282583906$ |
$1$ |
|
$10$ |
$32$ |
$0.230940$ |
$822656953/85683$ |
$0.96086$ |
$5.69482$ |
$[1, -1, 1, -176, -768]$ |
\(y^2+xy+y=x^3-x^2-176x-768\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? |
$[(-6, 9)]$ |
507.a2 |
507c4 |
507.a |
507c |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \) |
\( 3 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1.267343718$ |
$1$ |
|
$6$ |
$672$ |
$0.964108$ |
$822656953/85683$ |
$0.96086$ |
$5.76667$ |
$[1, 1, 1, -3299, 64670]$ |
\(y^2+xy+y=x^3+x^2-3299x+64670\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(44, 62)]$ |
624.i2 |
624h3 |
624.i |
624h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.374781$ |
$822656953/85683$ |
$0.96086$ |
$4.48184$ |
$[0, 1, 0, -312, -2028]$ |
\(y^2=x^3+x^2-312x-2028\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? |
$[]$ |
975.f2 |
975g4 |
975.f |
975g |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13 \) |
\( 3 \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$512$ |
$0.486352$ |
$822656953/85683$ |
$0.96086$ |
$4.38575$ |
$[1, 0, 0, -488, 3717]$ |
\(y^2+xy=x^3-488x+3717\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[]$ |
1521.e2 |
1521d3 |
1521.e |
1521d |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5376$ |
$1.513414$ |
$822656953/85683$ |
$0.96086$ |
$5.80165$ |
$[1, -1, 0, -29691, -1775786]$ |
\(y^2+xy=x^3-x^2-29691x-1775786\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
1872.h2 |
1872q4 |
1872.h |
1872q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.924087$ |
$822656953/85683$ |
$0.96086$ |
$4.70320$ |
$[0, 0, 0, -2811, 51946]$ |
\(y^2=x^3-2811x+51946\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
1911.f2 |
1911f3 |
1911.f |
1911f |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$4.425746569$ |
$1$ |
|
$0$ |
$1152$ |
$0.654589$ |
$822656953/85683$ |
$0.96086$ |
$4.26233$ |
$[1, 0, 1, -957, -10391]$ |
\(y^2+xy+y=x^3-957x-10391\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(-53/2, 55/2)]$ |
2496.e2 |
2496t3 |
2496.e |
2496t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{18} \cdot 3 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.721354$ |
$822656953/85683$ |
$0.96086$ |
$4.21923$ |
$[0, -1, 0, -1249, -14975]$ |
\(y^2=x^3-x^2-1249x-14975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
2496.q2 |
2496k4 |
2496.q |
2496k |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{18} \cdot 3 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.721354$ |
$822656953/85683$ |
$0.96086$ |
$4.21923$ |
$[0, 1, 0, -1249, 14975]$ |
\(y^2=x^3+x^2-1249x+14975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
2925.p2 |
2925f3 |
2925.p |
2925f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 3^{7} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4096$ |
$1.035658$ |
$822656953/85683$ |
$0.96086$ |
$4.60796$ |
$[1, -1, 0, -4392, -100359]$ |
\(y^2+xy=x^3-x^2-4392x-100359\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
4719.c2 |
4719d3 |
4719.c |
4719d |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( 3 \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5120$ |
$0.880581$ |
$822656953/85683$ |
$0.96086$ |
$4.12743$ |
$[1, 1, 1, -2362, -40996]$ |
\(y^2+xy+y=x^3+x^2-2362x-40996\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
5733.e2 |
5733g4 |
5733.e |
5733g |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 3^{7} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.944289050$ |
$1$ |
|
$6$ |
$9216$ |
$1.203896$ |
$822656953/85683$ |
$0.96086$ |
$4.48292$ |
$[1, -1, 1, -8609, 280550]$ |
\(y^2+xy+y=x^3-x^2-8609x+280550\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(30, 205)]$ |
7488.bl2 |
7488p3 |
7488.bl |
7488p |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.270660$ |
$822656953/85683$ |
$0.96086$ |
$4.43853$ |
$[0, 0, 0, -11244, -415568]$ |
\(y^2=x^3-11244x-415568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
7488.by2 |
7488bs4 |
7488.by |
7488bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1.903017102$ |
$1$ |
|
$3$ |
$16384$ |
$1.270660$ |
$822656953/85683$ |
$0.96086$ |
$4.43853$ |
$[0, 0, 0, -11244, 415568]$ |
\(y^2=x^3-11244x+415568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(-86, 864)]$ |
8112.s2 |
8112bh3 |
8112.s |
8112bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$6.445332494$ |
$1$ |
|
$1$ |
$43008$ |
$1.657255$ |
$822656953/85683$ |
$0.96086$ |
$4.91446$ |
$[0, 1, 0, -52784, -4244460]$ |
\(y^2=x^3+x^2-52784x-4244460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(-435/2, 3765/2)]$ |
11271.g2 |
11271f4 |
11271.g |
11271f |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 17^{2} \) |
\( 3 \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$3.870660367$ |
$1$ |
|
$2$ |
$20480$ |
$1.098240$ |
$822656953/85683$ |
$0.96086$ |
$4.02223$ |
$[1, 0, 1, -5642, 147221]$ |
\(y^2+xy+y=x^3-5642x+147221\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(317, 5340)]$ |
12675.ba2 |
12675w4 |
12675.ba |
12675w |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3 \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.768827$ |
$822656953/85683$ |
$0.96086$ |
$4.82402$ |
$[1, 0, 1, -82476, 8248723]$ |
\(y^2+xy+y=x^3-82476x+8248723\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[]$ |
14079.e2 |
14079d3 |
14079.e |
14079d |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 19^{2} \) |
\( 3 \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$7.339314361$ |
$1$ |
|
$0$ |
$28800$ |
$1.153852$ |
$822656953/85683$ |
$0.96086$ |
$3.99842$ |
$[1, 0, 0, -7047, -206778]$ |
\(y^2+xy=x^3-7047x-206778\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[(-1486/5, 10528/5)]$ |
14157.r2 |
14157j4 |
14157.r |
14157j |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 3^{7} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$2.393502953$ |
$1$ |
|
$2$ |
$40960$ |
$1.429888$ |
$822656953/85683$ |
$0.96086$ |
$4.34267$ |
$[1, -1, 0, -21258, 1085629]$ |
\(y^2+xy=x^3-x^2-21258x+1085629\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(36, 587)]$ |
15600.b2 |
15600be3 |
15600.b |
15600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$5.345933715$ |
$1$ |
|
$11$ |
$32768$ |
$1.179501$ |
$822656953/85683$ |
$0.96086$ |
$3.98781$ |
$[0, -1, 0, -7808, -237888]$ |
\(y^2=x^3-x^2-7808x-237888\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-38, 50), (162, 1650)]$ |
20631.g2 |
20631a3 |
20631.g |
20631a |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 23^{2} \) |
\( 3 \cdot 13^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$2.306310611$ |
$1$ |
|
$2$ |
$50688$ |
$1.249380$ |
$822656953/85683$ |
$0.96086$ |
$3.96002$ |
$[1, 1, 0, -10326, -370059]$ |
\(y^2+xy=x^3+x^2-10326x-370059\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$ |
$[(-44, 61)]$ |
24336.bo2 |
24336bt3 |
24336.bo |
24336bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$2.276601815$ |
$1$ |
|
$3$ |
$344064$ |
$2.206562$ |
$822656953/85683$ |
$0.96086$ |
$5.03254$ |
$[0, 0, 0, -475059, 114125362]$ |
\(y^2=x^3-475059x+114125362\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(-481, 15210)]$ |
24843.h2 |
24843s3 |
24843.h |
24843s |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3 \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$8.890383664$ |
$1$ |
|
$0$ |
$193536$ |
$1.937063$ |
$822656953/85683$ |
$0.96086$ |
$4.70273$ |
$[1, 0, 0, -161652, -22666827]$ |
\(y^2+xy=x^3-161652x-22666827\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[(-6556/5, 179743/5)]$ |
30576.i2 |
30576bs3 |
30576.i |
30576bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.350138856$ |
$1$ |
|
$5$ |
$73728$ |
$1.347736$ |
$822656953/85683$ |
$0.96086$ |
$3.92345$ |
$[0, -1, 0, -15304, 665008]$ |
\(y^2=x^3-x^2-15304x+665008\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(138, 1078)]$ |
32448.be2 |
32448ch3 |
32448.be |
32448ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{18} \cdot 3 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$2.003830$ |
$822656953/85683$ |
$0.96086$ |
$4.65895$ |
$[0, -1, 0, -211137, -33744543]$ |
\(y^2=x^3-x^2-211137x-33744543\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[]$ |
32448.di2 |
32448be3 |
32448.di |
32448be |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{18} \cdot 3 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$344064$ |
$2.003830$ |
$822656953/85683$ |
$0.96086$ |
$4.65895$ |
$[0, 1, 0, -211137, 33744543]$ |
\(y^2=x^3+x^2-211137x+33744543\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[]$ |
32799.d2 |
32799i3 |
32799.d |
32799i |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 29^{2} \) |
\( 3 \cdot 13^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$2.930847791$ |
$1$ |
|
$2$ |
$89600$ |
$1.365282$ |
$822656953/85683$ |
$0.96086$ |
$3.91722$ |
$[1, 0, 0, -16417, 731798]$ |
\(y^2+xy=x^3-16417x+731798\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 116.12.0.?, $\ldots$ |
$[(121, 661)]$ |
33813.e2 |
33813o3 |
33813.e |
33813o |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{7} \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$2.051523763$ |
$1$ |
|
$4$ |
$163840$ |
$1.647547$ |
$822656953/85683$ |
$0.96086$ |
$4.23058$ |
$[1, -1, 1, -50774, -3974974]$ |
\(y^2+xy+y=x^3-x^2-50774x-3974974\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-132, 709)]$ |
37479.g2 |
37479d3 |
37479.g |
37479d |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 31^{2} \) |
\( 3 \cdot 13^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$17.48590076$ |
$1$ |
|
$0$ |
$120960$ |
$1.398626$ |
$822656953/85683$ |
$0.96086$ |
$3.90560$ |
$[1, 0, 1, -18760, -897121]$ |
\(y^2+xy+y=x^3-18760x-897121\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 124.12.0.?, $\ldots$ |
$[(-25494621/650, 42954317567/650)]$ |
38025.n2 |
38025bm3 |
38025.n |
38025bm |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$688128$ |
$2.318134$ |
$822656953/85683$ |
$0.96086$ |
$4.94652$ |
$[1, -1, 1, -742280, -222715528]$ |
\(y^2+xy+y=x^3-x^2-742280x-222715528\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 104.12.0.?, $\ldots$ |
$[]$ |
42237.c2 |
42237b3 |
42237.c |
42237b |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 19^{2} \) |
\( 3^{7} \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1.429064821$ |
$1$ |
|
$4$ |
$230400$ |
$1.703159$ |
$822656953/85683$ |
$0.96086$ |
$4.20488$ |
$[1, -1, 0, -63423, 5583006]$ |
\(y^2+xy=x^3-x^2-63423x+5583006\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[(54, 1494)]$ |
46800.s2 |
46800dm3 |
46800.s |
46800dm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$3.112938607$ |
$1$ |
|
$5$ |
$262144$ |
$1.728806$ |
$822656953/85683$ |
$0.96086$ |
$4.19338$ |
$[0, 0, 0, -70275, 6493250]$ |
\(y^2=x^3-70275x+6493250\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[(215, 1150)]$ |
47775.w2 |
47775u3 |
47775.w |
47775u |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5^{6} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$2.089467139$ |
$1$ |
|
$4$ |
$147456$ |
$1.459307$ |
$822656953/85683$ |
$0.96086$ |
$3.88520$ |
$[1, 1, 1, -23913, -1298844]$ |
\(y^2+xy+y=x^3+x^2-23913x-1298844\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[(-69, 203)]$ |
53391.a2 |
53391c3 |
53391.a |
53391c |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 37^{2} \) |
\( 3 \cdot 13^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11544$ |
$48$ |
$0$ |
$1.755064409$ |
$1$ |
|
$2$ |
$207360$ |
$1.487093$ |
$822656953/85683$ |
$0.96086$ |
$3.87616$ |
$[1, 1, 1, -26724, 1511562]$ |
\(y^2+xy+y=x^3+x^2-26724x+1511562\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 148.12.0.?, $\ldots$ |
$[(200, 1953)]$ |
61347.u2 |
61347k3 |
61347.u |
61347k |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( 3 \cdot 11^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.163055$ |
$822656953/85683$ |
$0.96086$ |
$4.56311$ |
$[1, 1, 0, -399181, -88071914]$ |
\(y^2+xy=x^3+x^2-399181x-88071914\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
61893.d2 |
61893l3 |
61893.d |
61893l |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 23^{2} \) |
\( 3^{7} \cdot 13^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$405504$ |
$1.798687$ |
$822656953/85683$ |
$0.96086$ |
$4.16315$ |
$[1, -1, 1, -92939, 9898656]$ |
\(y^2+xy+y=x^3-x^2-92939x+9898656\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
62400.dy2 |
62400bf3 |
62400.dy |
62400bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.526073$ |
$822656953/85683$ |
$0.96086$ |
$3.86379$ |
$[0, -1, 0, -31233, 1934337]$ |
\(y^2=x^3-x^2-31233x+1934337\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
62400.ej2 |
62400ho3 |
62400.ej |
62400ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.526073$ |
$822656953/85683$ |
$0.96086$ |
$3.86379$ |
$[0, 1, 0, -31233, -1934337]$ |
\(y^2=x^3+x^2-31233x-1934337\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
65559.f2 |
65559d3 |
65559.f |
65559d |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 41^{2} \) |
\( 3 \cdot 13^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$276480$ |
$1.538420$ |
$822656953/85683$ |
$0.96086$ |
$3.85994$ |
$[1, 0, 1, -32815, 2069123]$ |
\(y^2+xy+y=x^3-32815x+2069123\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
72111.b2 |
72111e3 |
72111.b |
72111e |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 43^{2} \) |
\( 3 \cdot 13^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13416$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$301056$ |
$1.562233$ |
$822656953/85683$ |
$0.96086$ |
$3.85262$ |
$[1, 0, 0, -36094, -2393095]$ |
\(y^2+xy=x^3-36094x-2393095\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
74529.bf2 |
74529z3 |
74529.bf |
74529z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$4.179785981$ |
$1$ |
|
$2$ |
$1548288$ |
$2.486370$ |
$822656953/85683$ |
$0.96086$ |
$4.82977$ |
$[1, -1, 0, -1454868, 612004329]$ |
\(y^2+xy=x^3-x^2-1454868x+612004329\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.3, 104.12.0.?, $\ldots$ |
$[(-936, 34425)]$ |
75504.ci2 |
75504cn3 |
75504.ci |
75504cn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.573729$ |
$822656953/85683$ |
$0.96086$ |
$3.84913$ |
$[0, 1, 0, -37792, 2548148]$ |
\(y^2=x^3+x^2-37792x+2548148\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
86151.e2 |
86151a3 |
86151.e |
86151a |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 47^{2} \) |
\( 3 \cdot 13^{4} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$423936$ |
$1.606707$ |
$822656953/85683$ |
$0.96086$ |
$3.83927$ |
$[1, 1, 0, -43121, -3139026]$ |
\(y^2+xy=x^3+x^2-43121x-3139026\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
91728.fc2 |
91728ef3 |
91728.fc |
91728ef |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$1.897041$ |
$822656953/85683$ |
$0.96086$ |
$4.12310$ |
$[0, 0, 0, -137739, -17817478]$ |
\(y^2=x^3-137739x-17817478\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[]$ |
97344.z2 |
97344fo3 |
97344.z |
97344fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{7} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$2.721129840$ |
$1$ |
|
$3$ |
$2752512$ |
$2.553135$ |
$822656953/85683$ |
$0.96086$ |
$4.78722$ |
$[0, 0, 0, -1900236, 913002896]$ |
\(y^2=x^3-1900236x+913002896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[(-286, 37856)]$ |
97344.ch2 |
97344cg3 |
97344.ch |
97344cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{7} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$2.553135$ |
$822656953/85683$ |
$0.96086$ |
$4.78722$ |
$[0, 0, 0, -1900236, -913002896]$ |
\(y^2=x^3-1900236x-913002896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[]$ |
98397.s2 |
98397y3 |
98397.s |
98397y |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 29^{2} \) |
\( 3^{7} \cdot 13^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$2.601007537$ |
$1$ |
|
$4$ |
$716800$ |
$1.914587$ |
$822656953/85683$ |
$0.96086$ |
$4.11624$ |
$[1, -1, 0, -147753, -19758546]$ |
\(y^2+xy=x^3-x^2-147753x-19758546\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 116.12.0.?, $\ldots$ |
$[(-246, 1410)]$ |
109551.b2 |
109551k3 |
109551.b |
109551k |
$4$ |
$4$ |
\( 3 \cdot 13 \cdot 53^{2} \) |
\( 3 \cdot 13^{4} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16536$ |
$48$ |
$0$ |
$3.408852724$ |
$1$ |
|
$2$ |
$599040$ |
$1.666779$ |
$822656953/85683$ |
$0.96086$ |
$3.82189$ |
$[1, 0, 0, -54834, 4470873]$ |
\(y^2+xy=x^3-54834x+4470873\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 212.12.0.?, $\ldots$ |
$[(197, 1052)]$ |
112437.a2 |
112437g3 |
112437.a |
112437g |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 31^{2} \) |
\( 3^{7} \cdot 13^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$1.710730747$ |
$1$ |
|
$6$ |
$967680$ |
$1.947933$ |
$822656953/85683$ |
$0.96086$ |
$4.10344$ |
$[1, -1, 1, -168836, 24222260]$ |
\(y^2+xy+y=x^3-x^2-168836x+24222260\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 124.12.0.?, $\ldots$ |
$[(168, 676)]$ |