| 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.a2 |
49a3 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( - 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.3 |
7B.1.2 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$7$ |
$0.173817$ |
$-3375$ |
$0.98030$ |
$6.69373$ |
$[1, -1, 0, -107, 552]$ |
\(y^2+xy=x^3-x^2-107x+552\) |
|
$[]$ |
| 49.a4 |
49a1 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( - 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.6 |
7B.1.5 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$1$ |
$-0.799138$ |
$-3375$ |
$0.98030$ |
$3.69373$ |
$[1, -1, 0, -2, -1]$ |
\(y^2+xy=x^3-x^2-2x-1\) |
|
$[]$ |
| 441.c2 |
441d3 |
441.c |
441d |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.068523736$ |
$1$ |
|
$5$ |
$224$ |
$0.723123$ |
$-3375$ |
$0.98030$ |
$5.36085$ |
$[1, -1, 1, -965, -13940]$ |
\(y^2+xy+y=x^3-x^2-965x-13940\) |
|
$[(46, 170)]$ |
| 441.c4 |
441d1 |
441.c |
441d |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.438360533$ |
$1$ |
|
$7$ |
$32$ |
$-0.249832$ |
$-3375$ |
$0.98030$ |
$3.44340$ |
$[1, -1, 1, -20, 46]$ |
\(y^2+xy+y=x^3-x^2-20x+46\) |
|
$[(2, 2)]$ |
| 784.f2 |
784h3 |
784.f |
784h |
$4$ |
$14$ |
\( 2^{4} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.021067335$ |
$1$ |
|
$5$ |
$448$ |
$0.866964$ |
$-3375$ |
$0.98030$ |
$5.15703$ |
$[0, 0, 0, -1715, -33614]$ |
\(y^2=x^3-1715x-33614\) |
|
$[(57, 232)]$ |
| 784.f4 |
784h1 |
784.f |
784h |
$4$ |
$14$ |
\( 2^{4} \cdot 7^{2} \) |
\( - 2^{12} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.431581047$ |
$1$ |
|
$9$ |
$64$ |
$-0.105991$ |
$-3375$ |
$0.98030$ |
$3.40512$ |
$[0, 0, 0, -35, 98]$ |
\(y^2=x^3-35x+98\) |
|
$[(1, 8)]$ |
| 1225.c2 |
1225b3 |
1225.c |
1225b |
$4$ |
$14$ |
\( 5^{2} \cdot 7^{2} \) |
\( - 5^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1008$ |
$0.978536$ |
$-3375$ |
$0.98030$ |
$5.02165$ |
$[1, -1, 1, -2680, 66322]$ |
\(y^2+xy+y=x^3-x^2-2680x+66322\) |
|
$[]$ |
| 1225.c4 |
1225b1 |
1225.c |
1225b |
$4$ |
$14$ |
\( 5^{2} \cdot 7^{2} \) |
\( - 5^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$144$ |
$0.005581$ |
$-3375$ |
$0.98030$ |
$3.37969$ |
$[1, -1, 1, -55, -178]$ |
\(y^2+xy+y=x^3-x^2-55x-178\) |
|
$[]$ |
| 3136.n2 |
3136d3 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$3584$ |
$1.213537$ |
$-3375$ |
$0.98030$ |
$4.78560$ |
$[0, 0, 0, -6860, 268912]$ |
\(y^2=x^3-6860x+268912\) |
|
$[]$ |
| 3136.n4 |
3136d1 |
3136.n |
3136d |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.240582$ |
$-3375$ |
$0.98030$ |
$3.33536$ |
$[0, 0, 0, -140, -784]$ |
\(y^2=x^3-140x-784\) |
|
$[]$ |
| 3136.o2 |
3136r3 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.543119480$ |
$1$ |
|
$3$ |
$3584$ |
$1.213537$ |
$-3375$ |
$0.98030$ |
$4.78560$ |
$[0, 0, 0, -6860, -268912]$ |
\(y^2=x^3-6860x-268912\) |
|
$[(5506, 408512)]$ |
| 3136.o4 |
3136r1 |
3136.o |
3136r |
$4$ |
$14$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.934731354$ |
$1$ |
|
$5$ |
$512$ |
$0.240582$ |
$-3375$ |
$0.98030$ |
$3.33536$ |
$[0, 0, 0, -140, 784]$ |
\(y^2=x^3-140x+784\) |
|
$[(0, 28)]$ |
| 5929.c2 |
5929e3 |
5929.c |
5929e |
$4$ |
$14$ |
\( 7^{2} \cdot 11^{2} \) |
\( - 7^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.233537470$ |
$1$ |
|
$3$ |
$8960$ |
$1.372765$ |
$-3375$ |
$0.98030$ |
$4.65469$ |
$[1, -1, 1, -12970, -695824]$ |
\(y^2+xy+y=x^3-x^2-12970x-695824\) |
|
$[(1994, 87877)]$ |
| 5929.c4 |
5929e1 |
5929.c |
5929e |
$4$ |
$14$ |
\( 7^{2} \cdot 11^{2} \) |
\( - 7^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.747648210$ |
$1$ |
|
$7$ |
$1280$ |
$0.399809$ |
$-3375$ |
$0.98030$ |
$3.31077$ |
$[1, -1, 1, -265, 2104]$ |
\(y^2+xy+y=x^3-x^2-265x+2104\) |
|
$[(-8, 64)]$ |
| 7056.bg2 |
7056bq3 |
7056.bg |
7056bq |
$4$ |
$14$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$14336$ |
$1.416269$ |
$-3375$ |
$0.98030$ |
$4.62220$ |
$[0, 0, 0, -15435, 907578]$ |
\(y^2=x^3-15435x+907578\) |
|
$[]$ |
| 7056.bg4 |
7056bq1 |
7056.bg |
7056bq |
$4$ |
$14$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.443315$ |
$-3375$ |
$0.98030$ |
$3.30467$ |
$[0, 0, 0, -315, -2646]$ |
\(y^2=x^3-315x-2646\) |
|
$[]$ |
| 8281.d2 |
8281g3 |
8281.d |
8281g |
$4$ |
$14$ |
\( 7^{2} \cdot 13^{2} \) |
\( - 7^{9} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$16464$ |
$1.456291$ |
$-3375$ |
$0.98030$ |
$4.59341$ |
$[1, -1, 1, -18115, 1158434]$ |
\(y^2+xy+y=x^3-x^2-18115x+1158434\) |
|
$[]$ |
| 8281.d4 |
8281g1 |
8281.d |
8281g |
$4$ |
$14$ |
\( 7^{2} \cdot 13^{2} \) |
\( - 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2352$ |
$0.483336$ |
$-3375$ |
$0.98030$ |
$3.29926$ |
$[1, -1, 1, -370, -3272]$ |
\(y^2+xy+y=x^3-x^2-370x-3272\) |
|
$[]$ |
| 11025.bc2 |
11025y3 |
11025.bc |
11025y |
$4$ |
$14$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$13.32503933$ |
$1$ |
|
$1$ |
$32256$ |
$1.527842$ |
$-3375$ |
$0.98030$ |
$4.54442$ |
$[1, -1, 0, -24117, -1766584]$ |
\(y^2+xy=x^3-x^2-24117x-1766584\) |
|
$[(1821340/13, 2445845182/13)]$ |
| 11025.bc4 |
11025y1 |
11025.bc |
11025y |
$4$ |
$14$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.903577048$ |
$1$ |
|
$3$ |
$4608$ |
$0.554887$ |
$-3375$ |
$0.98030$ |
$3.29006$ |
$[1, -1, 0, -492, 5291]$ |
\(y^2+xy=x^3-x^2-492x+5291\) |
|
$[(10, 31)]$ |
| 14161.d2 |
14161a3 |
14161.d |
14161a |
$4$ |
$14$ |
\( 7^{2} \cdot 17^{2} \) |
\( - 7^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$36288$ |
$1.590424$ |
$-3375$ |
$0.98030$ |
$4.50397$ |
$[1, -1, 0, -30977, 2588144]$ |
\(y^2+xy=x^3-x^2-30977x+2588144\) |
|
$[]$ |
| 14161.d4 |
14161a1 |
14161.d |
14161a |
$4$ |
$14$ |
\( 7^{2} \cdot 17^{2} \) |
\( - 7^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$5184$ |
$0.617468$ |
$-3375$ |
$0.98030$ |
$3.28246$ |
$[1, -1, 0, -632, -7365]$ |
\(y^2+xy=x^3-x^2-632x-7365\) |
|
$[]$ |
| 17689.e2 |
17689h3 |
17689.e |
17689h |
$4$ |
$14$ |
\( 7^{2} \cdot 19^{2} \) |
\( - 7^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$18.11272487$ |
$1$ |
|
$1$ |
$50400$ |
$1.646036$ |
$-3375$ |
$0.98030$ |
$4.46976$ |
$[1, -1, 1, -38695, -3592802]$ |
\(y^2+xy+y=x^3-x^2-38695x-3592802\) |
|
$[(1227911624/1063, 41587462694622/1063)]$ |
| 17689.e4 |
17689h1 |
17689.e |
17689h |
$4$ |
$14$ |
\( 7^{2} \cdot 19^{2} \) |
\( - 7^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.587532125$ |
$1$ |
|
$3$ |
$7200$ |
$0.673081$ |
$-3375$ |
$0.98030$ |
$3.27604$ |
$[1, -1, 1, -790, 10700]$ |
\(y^2+xy+y=x^3-x^2-790x+10700\) |
|
$[(30, 100)]$ |
| 19600.bw2 |
19600cb3 |
19600.bw |
19600cb |
$4$ |
$14$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$6.782080109$ |
$1$ |
|
$3$ |
$64512$ |
$1.671682$ |
$-3375$ |
$0.98030$ |
$4.45451$ |
$[0, 0, 0, -42875, -4201750]$ |
\(y^2=x^3-42875x-4201750\) |
|
$[(8695, 810550)]$ |
| 19600.bw4 |
19600cb1 |
19600.bw |
19600cb |
$4$ |
$14$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.968868587$ |
$1$ |
|
$7$ |
$9216$ |
$0.698728$ |
$-3375$ |
$0.98030$ |
$3.27317$ |
$[0, 0, 0, -875, 12250]$ |
\(y^2=x^3-875x+12250\) |
|
$[(15, 50)]$ |
| 25921.b2 |
25921a3 |
25921.b |
25921a |
$4$ |
$14$ |
\( 7^{2} \cdot 23^{2} \) |
\( - 7^{9} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$16.16217728$ |
$1$ |
|
$1$ |
$78848$ |
$1.741564$ |
$-3375$ |
$0.98030$ |
$4.41450$ |
$[1, -1, 0, -56702, -6376161]$ |
\(y^2+xy=x^3-x^2-56702x-6376161\) |
|
$[(204319055/502, 2720699094801/502)]$ |
| 25921.b4 |
25921a1 |
25921.b |
25921a |
$4$ |
$14$ |
\( 7^{2} \cdot 23^{2} \) |
\( - 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.308882468$ |
$1$ |
|
$3$ |
$11264$ |
$0.768609$ |
$-3375$ |
$0.98030$ |
$3.26566$ |
$[1, -1, 0, -1157, 18920]$ |
\(y^2+xy=x^3-x^2-1157x+18920\) |
|
$[(604, 14510)]$ |
| 28224.cs2 |
28224fg3 |
28224.cs |
28224fg |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$114688$ |
$1.762844$ |
$-3375$ |
$0.98030$ |
$4.40275$ |
$[0, 0, 0, -61740, 7260624]$ |
\(y^2=x^3-61740x+7260624\) |
|
$[]$ |
| 28224.cs4 |
28224fg1 |
28224.cs |
28224fg |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.789888$ |
$-3375$ |
$0.98030$ |
$3.26345$ |
$[0, 0, 0, -1260, -21168]$ |
\(y^2=x^3-1260x-21168\) |
|
$[]$ |
| 28224.dw2 |
28224bn3 |
28224.dw |
28224bn |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$9.686722250$ |
$1$ |
|
$1$ |
$114688$ |
$1.762844$ |
$-3375$ |
$0.98030$ |
$4.40275$ |
$[0, 0, 0, -61740, -7260624]$ |
\(y^2=x^3-61740x-7260624\) |
|
$[(103510/13, 29857472/13)]$ |
| 28224.dw4 |
28224bn1 |
28224.dw |
28224bn |
$4$ |
$14$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.383817464$ |
$1$ |
|
$7$ |
$16384$ |
$0.789888$ |
$-3375$ |
$0.98030$ |
$3.26345$ |
$[0, 0, 0, -1260, 21168]$ |
\(y^2=x^3-1260x+21168\) |
|
$[(21, 63)]$ |
| 41209.c2 |
41209e3 |
41209.c |
41209e |
$4$ |
$14$ |
\( 7^{2} \cdot 29^{2} \) |
\( - 7^{9} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$175616$ |
$1.857464$ |
$-3375$ |
$0.98030$ |
$4.35279$ |
$[1, -1, 1, -90145, 12832096]$ |
\(y^2+xy+y=x^3-x^2-90145x+12832096\) |
|
$[]$ |
| 41209.c4 |
41209e1 |
41209.c |
41209e |
$4$ |
$14$ |
\( 7^{2} \cdot 29^{2} \) |
\( - 7^{3} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$25088$ |
$0.884509$ |
$-3375$ |
$0.98030$ |
$3.25407$ |
$[1, -1, 1, -1840, -36886]$ |
\(y^2+xy+y=x^3-x^2-1840x-36886\) |
|
$[]$ |
| 47089.c2 |
47089a3 |
47089.c |
47089a |
$4$ |
$14$ |
\( 7^{2} \cdot 31^{2} \) |
\( - 7^{9} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$36.59764869$ |
$1$ |
|
$1$ |
$215040$ |
$1.890810$ |
$-3375$ |
$0.98030$ |
$4.33602$ |
$[1, -1, 0, -103007, -15621040]$ |
\(y^2+xy=x^3-x^2-103007x-15621040\) |
|
$[(230430351839918201/8070712, 109196459429132042105919503/8070712)]$ |
| 47089.c4 |
47089a1 |
47089.c |
47089a |
$4$ |
$14$ |
\( 7^{2} \cdot 31^{2} \) |
\( - 7^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.228235528$ |
$1$ |
|
$1$ |
$30720$ |
$0.917855$ |
$-3375$ |
$0.98030$ |
$3.25092$ |
$[1, -1, 0, -2102, 46143]$ |
\(y^2+xy=x^3-x^2-2102x+46143\) |
|
$[(-38/3, 6385/3)]$ |
| 53361.bq2 |
53361bd3 |
53361.bq |
53361bd |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$286720$ |
$1.922070$ |
$-3375$ |
$0.98030$ |
$4.32067$ |
$[1, -1, 0, -116727, 18903968]$ |
\(y^2+xy=x^3-x^2-116727x+18903968\) |
|
$[]$ |
| 53361.bq4 |
53361bd1 |
53361.bq |
53361bd |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$40960$ |
$0.949116$ |
$-3375$ |
$0.98030$ |
$3.24804$ |
$[1, -1, 0, -2382, -54433]$ |
\(y^2+xy=x^3-x^2-2382x-54433\) |
|
$[]$ |
| 67081.b2 |
67081c3 |
67081.b |
67081c |
$4$ |
$14$ |
\( 7^{2} \cdot 37^{2} \) |
\( - 7^{9} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$354816$ |
$1.979275$ |
$-3375$ |
$0.98030$ |
$4.29348$ |
$[1, -1, 1, -146740, 26640590]$ |
\(y^2+xy+y=x^3-x^2-146740x+26640590\) |
|
$[]$ |
| 67081.b4 |
67081c1 |
67081.b |
67081c |
$4$ |
$14$ |
\( 7^{2} \cdot 37^{2} \) |
\( - 7^{3} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$50688$ |
$1.006321$ |
$-3375$ |
$0.98030$ |
$3.24293$ |
$[1, -1, 1, -2995, -76814]$ |
\(y^2+xy+y=x^3-x^2-2995x-76814\) |
|
$[]$ |
| 74529.bj2 |
74529x3 |
74529.bj |
74529x |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$31.47924871$ |
$1$ |
|
$1$ |
$526848$ |
$2.005596$ |
$-3375$ |
$0.98030$ |
$4.28134$ |
$[1, -1, 0, -163032, -31114693]$ |
\(y^2+xy=x^3-x^2-163032x-31114693\) |
|
$[(93777712799026/438437, 173067237914487831671/438437)]$ |
| 74529.bj4 |
74529x1 |
74529.bj |
74529x |
$4$ |
$14$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.497035530$ |
$1$ |
|
$3$ |
$75264$ |
$1.032642$ |
$-3375$ |
$0.98030$ |
$3.24065$ |
$[1, -1, 0, -3327, 91664]$ |
\(y^2+xy=x^3-x^2-3327x+91664\) |
|
$[(256, 3868)]$ |
| 78400.fa2 |
78400v3 |
78400.fa |
78400v |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 7^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.303883660$ |
$1$ |
|
$9$ |
$516096$ |
$2.018257$ |
$-3375$ |
$0.98030$ |
$4.27559$ |
$[0, 0, 0, -171500, 33614000]$ |
\(y^2=x^3-171500x+33614000\) |
|
$[(196, 2744), (86, 4416)]$ |
| 78400.fa4 |
78400v1 |
78400.fa |
78400v |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.303883660$ |
$1$ |
|
$11$ |
$73728$ |
$1.045301$ |
$-3375$ |
$0.98030$ |
$3.23957$ |
$[0, 0, 0, -3500, -98000]$ |
\(y^2=x^3-3500x-98000\) |
|
$[(120, 1100), (84, 448)]$ |
| 78400.go2 |
78400gw3 |
78400.go |
78400gw |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$14.45773230$ |
$1$ |
|
$1$ |
$516096$ |
$2.018257$ |
$-3375$ |
$0.98030$ |
$4.27559$ |
$[0, 0, 0, -171500, -33614000]$ |
\(y^2=x^3-171500x-33614000\) |
|
$[(16664460/97, 65930105200/97)]$ |
| 78400.go4 |
78400gw1 |
78400.go |
78400gw |
$4$ |
$14$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.065390329$ |
$1$ |
|
$5$ |
$73728$ |
$1.045301$ |
$-3375$ |
$0.98030$ |
$3.23957$ |
$[0, 0, 0, -3500, 98000]$ |
\(y^2=x^3-3500x+98000\) |
|
$[(-20, 400)]$ |
| 82369.a2 |
82369a3 |
82369.a |
82369a |
$4$ |
$14$ |
\( 7^{2} \cdot 41^{2} \) |
\( - 7^{9} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$493920$ |
$2.030602$ |
$-3375$ |
$0.98030$ |
$4.27002$ |
$[1, -1, 0, -180182, 36243647]$ |
\(y^2+xy=x^3-x^2-180182x+36243647\) |
|
$[]$ |
| 82369.a4 |
82369a1 |
82369.a |
82369a |
$4$ |
$14$ |
\( 7^{2} \cdot 41^{2} \) |
\( - 7^{3} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$70560$ |
$1.057648$ |
$-3375$ |
$0.98030$ |
$3.23852$ |
$[1, -1, 0, -3677, -104616]$ |
\(y^2+xy=x^3-x^2-3677x-104616\) |
|
$[]$ |
| 90601.a2 |
90601c3 |
90601.a |
90601c |
$4$ |
$14$ |
\( 7^{2} \cdot 43^{2} \) |
\( - 7^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$17.63870601$ |
$1$ |
|
$1$ |
$526848$ |
$2.054417$ |
$-3375$ |
$0.98030$ |
$4.25942$ |
$[1, -1, 1, -198190, -41709020]$ |
\(y^2+xy+y=x^3-x^2-198190x-41709020\) |
|
$[(1354435762/1509, 23415245981764/1509)]$ |
| 90601.a4 |
90601c1 |
90601.a |
90601c |
$4$ |
$14$ |
\( 7^{2} \cdot 43^{2} \) |
\( - 7^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.519815144$ |
$1$ |
|
$1$ |
$75264$ |
$1.081461$ |
$-3375$ |
$0.98030$ |
$3.23653$ |
$[1, -1, 1, -4045, 122756]$ |
\(y^2+xy+y=x^3-x^2-4045x+122756\) |
|
$[(400/3, 4009/3)]$ |
