| 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 |
| 49.a1 |
49a4 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.3 |
7B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$14$ |
$0.520391$ |
$16581375$ |
$1.19804$ |
$8.77147$ |
$[1, -1, 0, -1822, 30393]$ |
\(y^2+xy=x^3-x^2-1822x+30393\) |
|
$[]$ |
| 49.a3 |
49a2 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.6 |
7B.1.5 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$2$ |
$-0.452565$ |
$16581375$ |
$1.19804$ |
$5.77147$ |
$[1, -1, 0, -37, -78]$ |
\(y^2+xy=x^3-x^2-37x-78\) |
|
$[]$ |
| 441.c1 |
441d4 |
441.c |
441d |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.534261868$ |
$1$ |
|
$6$ |
$448$ |
$1.069696$ |
$16581375$ |
$1.19804$ |
$6.68884$ |
$[1, -1, 1, -16400, -804212]$ |
\(y^2+xy+y=x^3-x^2-16400x-804212\) |
|
$[(-74, 41)]$ |
| 441.c3 |
441d2 |
441.c |
441d |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.219180266$ |
$1$ |
|
$12$ |
$64$ |
$0.096741$ |
$16581375$ |
$1.19804$ |
$4.77139$ |
$[1, -1, 1, -335, 2440]$ |
\(y^2+xy+y=x^3-x^2-335x+2440\) |
|
$[(16, 23)]$ |
| 784.f1 |
784h4 |
784.f |
784h |
$4$ |
$14$ |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.042134670$ |
$1$ |
|
$3$ |
$896$ |
$1.213537$ |
$16581375$ |
$1.19804$ |
$6.37037$ |
$[0, 0, 0, -29155, -1915998]$ |
\(y^2=x^3-29155x-1915998\) |
|
$[(743, 19662)]$ |
| 784.f3 |
784h2 |
784.f |
784h |
$4$ |
$14$ |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.863162095$ |
$1$ |
|
$5$ |
$128$ |
$0.240582$ |
$16581375$ |
$1.19804$ |
$4.61846$ |
$[0, 0, 0, -595, 5586]$ |
\(y^2=x^3-595x+5586\) |
|
$[(7, 42)]$ |
| 1225.c1 |
1225b4 |
1225.c |
1225b |
$4$ |
$14$ |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$2016$ |
$1.325109$ |
$16581375$ |
$1.19804$ |
$6.15884$ |
$[1, -1, 1, -45555, 3753572]$ |
\(y^2+xy+y=x^3-x^2-45555x+3753572\) |
|
$[]$ |
| 1225.c3 |
1225b2 |
1225.c |
1225b |
$4$ |
$14$ |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$288$ |
$0.352154$ |
$16581375$ |
$1.19804$ |
$4.51688$ |
$[1, -1, 1, -930, -10678]$ |
\(y^2+xy+y=x^3-x^2-930x-10678\) |
|
$[]$ |
| 3136.n1 |
3136d4 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$7168$ |
$1.560112$ |
$16581375$ |
$1.19804$ |
$5.79001$ |
$[0, 0, 0, -116620, 15327984]$ |
\(y^2=x^3-116620x+15327984\) |
|
$[]$ |
| 3136.n3 |
3136d2 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.587156$ |
$16581375$ |
$1.19804$ |
$4.33977$ |
$[0, 0, 0, -2380, -44688]$ |
\(y^2=x^3-2380x-44688\) |
|
$[]$ |
| 3136.o1 |
3136r4 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$13.08623896$ |
$1$ |
|
$1$ |
$7168$ |
$1.560112$ |
$16581375$ |
$1.19804$ |
$5.79001$ |
$[0, 0, 0, -116620, -15327984]$ |
\(y^2=x^3-116620x-15327984\) |
|
$[(931200/13, 896827212/13)]$ |
| 3136.o3 |
3136r2 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.869462708$ |
$1$ |
|
$5$ |
$1024$ |
$0.587156$ |
$16581375$ |
$1.19804$ |
$4.33977$ |
$[0, 0, 0, -2380, 44688]$ |
\(y^2=x^3-2380x+44688\) |
|
$[(21, 63)]$ |
| 5929.c1 |
5929e4 |
5929.c |
5929e |
$4$ |
$14$ |
\( 7^{2} \cdot 11^{2} \) |
\( 7^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$10.46707494$ |
$1$ |
|
$0$ |
$17920$ |
$1.719337$ |
$16581375$ |
$1.19804$ |
$5.58547$ |
$[1, -1, 1, -220485, -39791650]$ |
\(y^2+xy+y=x^3-x^2-220485x-39791650\) |
|
$[(340759/13, 190696325/13)]$ |
| 5929.c3 |
5929e2 |
5929.c |
5929e |
$4$ |
$14$ |
\( 7^{2} \cdot 11^{2} \) |
\( 7^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.495296420$ |
$1$ |
|
$4$ |
$2560$ |
$0.746383$ |
$16581375$ |
$1.19804$ |
$4.24155$ |
$[1, -1, 1, -4500, 117296]$ |
\(y^2+xy+y=x^3-x^2-4500x+117296\) |
|
$[(37, 2)]$ |
| 7056.bg1 |
7056bq4 |
7056.bg |
7056bq |
$4$ |
$14$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$28672$ |
$1.762844$ |
$16581375$ |
$1.19804$ |
$5.53469$ |
$[0, 0, 0, -262395, 51731946]$ |
\(y^2=x^3-262395x+51731946\) |
|
$[]$ |
| 7056.bg3 |
7056bq2 |
7056.bg |
7056bq |
$4$ |
$14$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.789888$ |
$16581375$ |
$1.19804$ |
$4.21716$ |
$[0, 0, 0, -5355, -150822]$ |
\(y^2=x^3-5355x-150822\) |
|
$[]$ |
| 8281.d1 |
8281g4 |
8281.d |
8281g |
$4$ |
$14$ |
\( 7^{2} \cdot 13^{2} \) |
\( 7^{9} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$32928$ |
$1.802864$ |
$16581375$ |
$1.19804$ |
$5.48972$ |
$[1, -1, 1, -307950, 65849606]$ |
\(y^2+xy+y=x^3-x^2-307950x+65849606\) |
|
$[]$ |
| 8281.d3 |
8281g2 |
8281.d |
8281g |
$4$ |
$14$ |
\( 7^{2} \cdot 13^{2} \) |
\( 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$4704$ |
$0.829910$ |
$16581375$ |
$1.19804$ |
$4.19557$ |
$[1, -1, 1, -6285, -190186]$ |
\(y^2+xy+y=x^3-x^2-6285x-190186\) |
|
$[]$ |
| 11025.bc1 |
11025y4 |
11025.bc |
11025y |
$4$ |
$14$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.662519668$ |
$1$ |
|
$2$ |
$64512$ |
$1.874414$ |
$16581375$ |
$1.19804$ |
$5.41316$ |
$[1, -1, 0, -409992, -100936459]$ |
\(y^2+xy=x^3-x^2-409992x-100936459\) |
|
$[(43108, 8927659)]$ |
| 11025.bc3 |
11025y2 |
11025.bc |
11025y |
$4$ |
$14$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.951788524$ |
$1$ |
|
$4$ |
$9216$ |
$0.901461$ |
$16581375$ |
$1.19804$ |
$4.15880$ |
$[1, -1, 0, -8367, 296666]$ |
\(y^2+xy=x^3-x^2-8367x+296666\) |
|
$[(58, 34)]$ |
| 14161.d1 |
14161a4 |
14161.d |
14161a |
$4$ |
$14$ |
\( 7^{2} \cdot 17^{2} \) |
\( 7^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.936996$ |
$16581375$ |
$1.19804$ |
$5.34996$ |
$[1, -1, 0, -526612, 147214437]$ |
\(y^2+xy=x^3-x^2-526612x+147214437\) |
|
$[]$ |
| 14161.d3 |
14161a2 |
14161.d |
14161a |
$4$ |
$14$ |
\( 7^{2} \cdot 17^{2} \) |
\( 7^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.964042$ |
$16581375$ |
$1.19804$ |
$4.12846$ |
$[1, -1, 0, -10747, -426126]$ |
\(y^2+xy=x^3-x^2-10747x-426126\) |
|
$[]$ |
| 17689.e1 |
17689h4 |
17689.e |
17689h |
$4$ |
$14$ |
\( 7^{2} \cdot 19^{2} \) |
\( 7^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$9.056362439$ |
$1$ |
|
$0$ |
$100800$ |
$1.992609$ |
$16581375$ |
$1.19804$ |
$5.29652$ |
$[1, -1, 1, -657810, -205176646]$ |
\(y^2+xy+y=x^3-x^2-657810x-205176646\) |
|
$[(-867472/43, 11127906/43)]$ |
| 17689.e3 |
17689h2 |
17689.e |
17689h |
$4$ |
$14$ |
\( 7^{2} \cdot 19^{2} \) |
\( 7^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.293766062$ |
$1$ |
|
$2$ |
$14400$ |
$1.019655$ |
$16581375$ |
$1.19804$ |
$4.10279$ |
$[1, -1, 1, -13425, 602018]$ |
\(y^2+xy+y=x^3-x^2-13425x+602018\) |
|
$[(24, 529)]$ |
| 19600.bw1 |
19600cb4 |
19600.bw |
19600cb |
$4$ |
$14$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$13.56416021$ |
$1$ |
|
$1$ |
$129024$ |
$2.018257$ |
$16581375$ |
$1.19804$ |
$5.27268$ |
$[0, 0, 0, -728875, -239499750]$ |
\(y^2=x^3-728875x-239499750\) |
|
$[(1472199/13, 1777356582/13)]$ |
| 19600.bw3 |
19600cb2 |
19600.bw |
19600cb |
$4$ |
$14$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.937737174$ |
$1$ |
|
$5$ |
$18432$ |
$1.045301$ |
$16581375$ |
$1.19804$ |
$4.09134$ |
$[0, 0, 0, -14875, 698250]$ |
\(y^2=x^3-14875x+698250\) |
|
$[(71, 6)]$ |
| 25921.b1 |
25921a4 |
25921.b |
25921a |
$4$ |
$14$ |
\( 7^{2} \cdot 23^{2} \) |
\( 7^{9} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$32.32435456$ |
$1$ |
|
$0$ |
$157696$ |
$2.088139$ |
$16581375$ |
$1.19804$ |
$5.21017$ |
$[1, -1, 0, -963937, -364008198]$ |
\(y^2+xy=x^3-x^2-963937x-364008198\) |
|
$[(1684751849031919/1208314, 12552776826340035974071/1208314)]$ |
| 25921.b3 |
25921a2 |
25921.b |
25921a |
$4$ |
$14$ |
\( 7^{2} \cdot 23^{2} \) |
\( 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.617764937$ |
$1$ |
|
$0$ |
$22528$ |
$1.115183$ |
$16581375$ |
$1.19804$ |
$4.06133$ |
$[1, -1, 0, -19672, 1066869]$ |
\(y^2+xy=x^3-x^2-19672x+1066869\) |
|
$[(2439/2, 114999/2)]$ |
| 28224.cs1 |
28224fg4 |
28224.cs |
28224fg |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$229376$ |
$2.109417$ |
$16581375$ |
$1.19804$ |
$5.19181$ |
$[0, 0, 0, -1049580, 413855568]$ |
\(y^2=x^3-1049580x+413855568\) |
|
$[]$ |
| 28224.cs3 |
28224fg2 |
28224.cs |
28224fg |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.136461$ |
$16581375$ |
$1.19804$ |
$4.05251$ |
$[0, 0, 0, -21420, -1206576]$ |
\(y^2=x^3-21420x-1206576\) |
|
$[]$ |
| 28224.dw1 |
28224bn4 |
28224.dw |
28224bn |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.843361125$ |
$1$ |
|
$3$ |
$229376$ |
$2.109417$ |
$16581375$ |
$1.19804$ |
$5.19181$ |
$[0, 0, 0, -1049580, -413855568]$ |
\(y^2=x^3-1049580x-413855568\) |
|
$[(2454, 108576)]$ |
| 28224.dw3 |
28224bn2 |
28224.dw |
28224bn |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.691908732$ |
$1$ |
|
$9$ |
$32768$ |
$1.136461$ |
$16581375$ |
$1.19804$ |
$4.05251$ |
$[0, 0, 0, -21420, 1206576]$ |
\(y^2=x^3-21420x+1206576\) |
|
$[(70, 224)]$ |
| 41209.c1 |
41209e4 |
41209.c |
41209e |
$4$ |
$14$ |
\( 7^{2} \cdot 29^{2} \) |
\( 7^{9} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$351232$ |
$2.204037$ |
$16581375$ |
$1.19804$ |
$5.11374$ |
$[1, -1, 1, -1532460, 730528040]$ |
\(y^2+xy+y=x^3-x^2-1532460x+730528040\) |
|
$[]$ |
| 41209.c3 |
41209e2 |
41209.c |
41209e |
$4$ |
$14$ |
\( 7^{2} \cdot 29^{2} \) |
\( 7^{3} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$50176$ |
$1.231083$ |
$16581375$ |
$1.19804$ |
$4.01502$ |
$[1, -1, 1, -31275, -2120884]$ |
\(y^2+xy+y=x^3-x^2-31275x-2120884\) |
|
$[]$ |
| 47089.c1 |
47089a4 |
47089.c |
47089a |
$4$ |
$14$ |
\( 7^{2} \cdot 31^{2} \) |
\( 7^{9} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$18.29882434$ |
$1$ |
|
$0$ |
$430080$ |
$2.237385$ |
$16581375$ |
$1.19804$ |
$5.08754$ |
$[1, -1, 0, -1751122, -891429351]$ |
\(y^2+xy=x^3-x^2-1751122x-891429351\) |
|
$[(-14539005851/4372, 18805757944453/4372)]$ |
| 47089.c3 |
47089a2 |
47089.c |
47089a |
$4$ |
$14$ |
\( 7^{2} \cdot 31^{2} \) |
\( 7^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.614117764$ |
$1$ |
|
$0$ |
$61440$ |
$1.264429$ |
$16581375$ |
$1.19804$ |
$4.00244$ |
$[1, -1, 0, -35737, 2609130]$ |
\(y^2+xy=x^3-x^2-35737x+2609130\) |
|
$[(1303/2, 39059/2)]$ |
| 53361.bq1 |
53361bd4 |
53361.bq |
53361bd |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 7^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$573440$ |
$2.268642$ |
$16581375$ |
$1.19804$ |
$5.06356$ |
$[1, -1, 0, -1984362, 1076358905]$ |
\(y^2+xy=x^3-x^2-1984362x+1076358905\) |
|
$[]$ |
| 53361.bq3 |
53361bd2 |
53361.bq |
53361bd |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$81920$ |
$1.295689$ |
$16581375$ |
$1.19804$ |
$3.99093$ |
$[1, -1, 0, -40497, -3126502]$ |
\(y^2+xy=x^3-x^2-40497x-3126502\) |
|
$[]$ |
| 67081.b1 |
67081c4 |
67081.b |
67081c |
$4$ |
$14$ |
\( 7^{2} \cdot 37^{2} \) |
\( 7^{9} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$709632$ |
$2.325848$ |
$16581375$ |
$1.19804$ |
$5.02107$ |
$[1, -1, 1, -2494575, 1517046248]$ |
\(y^2+xy+y=x^3-x^2-2494575x+1517046248\) |
|
$[]$ |
| 67081.b3 |
67081c2 |
67081.b |
67081c |
$4$ |
$14$ |
\( 7^{2} \cdot 37^{2} \) |
\( 7^{3} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.352894$ |
$16581375$ |
$1.19804$ |
$3.97052$ |
$[1, -1, 1, -50910, -4408330]$ |
\(y^2+xy+y=x^3-x^2-50910x-4408330\) |
|
$[]$ |
| 74529.bj1 |
74529x4 |
74529.bj |
74529x |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$15.73962435$ |
$1$ |
|
$0$ |
$1053696$ |
$2.352173$ |
$16581375$ |
$1.19804$ |
$5.00211$ |
$[1, -1, 0, -2771547, -1775167822]$ |
\(y^2+xy=x^3-x^2-2771547x-1775167822\) |
|
$[(-109756238/337, 15808783096/337)]$ |
| 74529.bj3 |
74529x2 |
74529.bj |
74529x |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.248517765$ |
$1$ |
|
$4$ |
$150528$ |
$1.379215$ |
$16581375$ |
$1.19804$ |
$3.96141$ |
$[1, -1, 0, -56562, 5191577]$ |
\(y^2+xy=x^3-x^2-56562x+5191577\) |
|
$[(136, -41)]$ |
| 78400.fa1 |
78400v4 |
78400.fa |
78400v |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.303883660$ |
$1$ |
|
$9$ |
$1032192$ |
$2.364830$ |
$16581375$ |
$1.19804$ |
$4.99311$ |
$[0, 0, 0, -2915500, 1915998000]$ |
\(y^2=x^3-2915500x+1915998000\) |
|
$[(294, 32928), (996, 456)]$ |
| 78400.fa3 |
78400v2 |
78400.fa |
78400v |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.303883660$ |
$1$ |
|
$9$ |
$147456$ |
$1.391874$ |
$16581375$ |
$1.19804$ |
$3.95710$ |
$[0, 0, 0, -59500, -5586000]$ |
\(y^2=x^3-59500x-5586000\) |
|
$[(310, 2400), (1110, 36000)]$ |
| 78400.go1 |
78400gw4 |
78400.go |
78400gw |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$28.91546461$ |
$1$ |
|
$1$ |
$1032192$ |
$2.364830$ |
$16581375$ |
$1.19804$ |
$4.99311$ |
$[0, 0, 0, -2915500, -1915998000]$ |
\(y^2=x^3-2915500x-1915998000\) |
|
$[(4989182069516/47627, 5194661293788537936/47627)]$ |
| 78400.go3 |
78400gw2 |
78400.go |
78400gw |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.130780659$ |
$1$ |
|
$3$ |
$147456$ |
$1.391874$ |
$16581375$ |
$1.19804$ |
$3.95710$ |
$[0, 0, 0, -59500, 5586000]$ |
\(y^2=x^3-59500x+5586000\) |
|
$[(204, 1392)]$ |
| 82369.a1 |
82369a4 |
82369.a |
82369a |
$4$ |
$14$ |
\( 7^{2} \cdot 41^{2} \) |
\( 7^{9} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$987840$ |
$2.377178$ |
$16581375$ |
$1.19804$ |
$4.98441$ |
$[1, -1, 0, -3063097, 2064086058]$ |
\(y^2+xy=x^3-x^2-3063097x+2064086058\) |
|
$[]$ |
| 82369.a3 |
82369a2 |
82369.a |
82369a |
$4$ |
$14$ |
\( 7^{2} \cdot 41^{2} \) |
\( 7^{3} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$141120$ |
$1.404221$ |
$16581375$ |
$1.19804$ |
$3.95292$ |
$[1, -1, 0, -62512, -5999883]$ |
\(y^2+xy=x^3-x^2-62512x-5999883\) |
|
$[]$ |
| 90601.a1 |
90601c4 |
90601.a |
90601c |
$4$ |
$14$ |
\( 7^{2} \cdot 43^{2} \) |
\( 7^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$35.27741202$ |
$1$ |
|
$0$ |
$1053696$ |
$2.400990$ |
$16581375$ |
$1.19804$ |
$4.96785$ |
$[1, -1, 1, -3369225, -2379396022]$ |
\(y^2+xy+y=x^3-x^2-3369225x-2379396022\) |
|
$[(81338821322630239/2859555, 22653680537785932497532703/2859555)]$ |
| 90601.a3 |
90601c2 |
90601.a |
90601c |
$4$ |
$14$ |
\( 7^{2} \cdot 43^{2} \) |
\( 7^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.039630289$ |
$1$ |
|
$2$ |
$150528$ |
$1.428036$ |
$16581375$ |
$1.19804$ |
$3.94497$ |
$[1, -1, 1, -68760, 6956660]$ |
\(y^2+xy+y=x^3-x^2-68760x+6956660\) |
|
$[(-243, 3166)]$ |
