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 |
1050.e1 |
1050b1 |
1050.e |
1050b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$168$ |
$-0.152554$ |
$-125768785/30618$ |
$0.92563$ |
$3.19411$ |
$[1, 1, 0, -30, -90]$ |
\(y^2+xy=x^3+x^2-30x-90\) |
168.2.0.? |
$[]$ |
1050.o1 |
1050q1 |
1050.o |
1050q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$840$ |
$0.652165$ |
$-125768785/30618$ |
$0.92563$ |
$4.58224$ |
$[1, 0, 0, -763, -9733]$ |
\(y^2+xy=x^3-763x-9733\) |
168.2.0.? |
$[]$ |
3150.c1 |
3150p1 |
3150.c |
3150p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{13} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.293817945$ |
$1$ |
|
$4$ |
$6720$ |
$1.201471$ |
$-125768785/30618$ |
$0.92563$ |
$4.77561$ |
$[1, -1, 0, -6867, 262791]$ |
\(y^2+xy=x^3-x^2-6867x+262791\) |
168.2.0.? |
$[(219, 2928)]$ |
3150.bl1 |
3150bj1 |
3150.bl |
3150bj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{13} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1344$ |
$0.396752$ |
$-125768785/30618$ |
$0.92563$ |
$3.57679$ |
$[1, -1, 1, -275, 2157]$ |
\(y^2+xy+y=x^3-x^2-275x+2157\) |
168.2.0.? |
$[]$ |
7350.bj1 |
7350y1 |
7350.bj |
7350y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.132387600$ |
$1$ |
|
$8$ |
$8064$ |
$0.820401$ |
$-125768785/30618$ |
$0.92563$ |
$3.80742$ |
$[1, 0, 1, -1496, 26408]$ |
\(y^2+xy+y=x^3-1496x+26408\) |
168.2.0.? |
$[(18, 64)]$ |
7350.ca1 |
7350cb1 |
7350.ca |
7350cb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.625120$ |
$-125768785/30618$ |
$0.92563$ |
$4.89214$ |
$[1, 1, 1, -37388, 3301031]$ |
\(y^2+xy+y=x^3+x^2-37388x+3301031\) |
168.2.0.? |
$[]$ |
8400.t1 |
8400bu1 |
8400.t |
8400bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.345312$ |
$-125768785/30618$ |
$0.92563$ |
$4.44825$ |
$[0, -1, 0, -12208, 622912]$ |
\(y^2=x^3-x^2-12208x+622912\) |
168.2.0.? |
$[]$ |
8400.bt1 |
8400ca1 |
8400.bt |
8400ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.129517956$ |
$1$ |
|
$10$ |
$4032$ |
$0.540593$ |
$-125768785/30618$ |
$0.92563$ |
$3.37957$ |
$[0, 1, 0, -488, 4788]$ |
\(y^2=x^3+x^2-488x+4788\) |
168.2.0.? |
$[(22, 72)]$ |
22050.v1 |
22050cm1 |
22050.v |
22050cm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$2.174427$ |
$-125768785/30618$ |
$0.92563$ |
$5.01384$ |
$[1, -1, 0, -336492, -89464334]$ |
\(y^2+xy=x^3-x^2-336492x-89464334\) |
168.2.0.? |
$[]$ |
22050.dr1 |
22050ef1 |
22050.dr |
22050ef |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.369707$ |
$-125768785/30618$ |
$0.92563$ |
$4.04828$ |
$[1, -1, 1, -13460, -713023]$ |
\(y^2+xy+y=x^3-x^2-13460x-713023\) |
168.2.0.? |
$[]$ |
25200.ce1 |
25200ds1 |
25200.ce |
25200ds |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{13} \cdot 3^{13} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.145293695$ |
$1$ |
|
$2$ |
$32256$ |
$1.089899$ |
$-125768785/30618$ |
$0.92563$ |
$3.66363$ |
$[0, 0, 0, -4395, -133670]$ |
\(y^2=x^3-4395x-133670\) |
168.2.0.? |
$[(311, 5346)]$ |
25200.fa1 |
25200fm1 |
25200.fa |
25200fm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{13} \cdot 3^{13} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.909703841$ |
$1$ |
|
$2$ |
$161280$ |
$1.894619$ |
$-125768785/30618$ |
$0.92563$ |
$4.61647$ |
$[0, 0, 0, -109875, -16708750]$ |
\(y^2=x^3-109875x-16708750\) |
168.2.0.? |
$[(625, 12600)]$ |
33600.x1 |
33600bh1 |
33600.x |
33600bh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.691887$ |
$-125768785/30618$ |
$0.92563$ |
$4.25562$ |
$[0, -1, 0, -48833, -4934463]$ |
\(y^2=x^3-x^2-48833x-4934463\) |
168.2.0.? |
$[]$ |
33600.bp1 |
33600eg1 |
33600.bp |
33600eg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.887167$ |
$-125768785/30618$ |
$0.92563$ |
$3.32908$ |
$[0, -1, 0, -1953, 40257]$ |
\(y^2=x^3-x^2-1953x+40257\) |
168.2.0.? |
$[]$ |
33600.fw1 |
33600cu1 |
33600.fw |
33600cu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.698659621$ |
$1$ |
|
$4$ |
$32256$ |
$0.887167$ |
$-125768785/30618$ |
$0.92563$ |
$3.32908$ |
$[0, 1, 0, -1953, -40257]$ |
\(y^2=x^3+x^2-1953x-40257\) |
168.2.0.? |
$[(99, 864)]$ |
33600.gv1 |
33600hf1 |
33600.gv |
33600hf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.208222913$ |
$1$ |
|
$6$ |
$161280$ |
$1.691887$ |
$-125768785/30618$ |
$0.92563$ |
$4.25562$ |
$[0, 1, 0, -48833, 4934463]$ |
\(y^2=x^3+x^2-48833x+4934463\) |
168.2.0.? |
$[(-17, 2400)]$ |
58800.bj1 |
58800fn1 |
58800.bj |
58800fn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.557520197$ |
$1$ |
|
$2$ |
$193536$ |
$1.513548$ |
$-125768785/30618$ |
$0.92563$ |
$3.84389$ |
$[0, -1, 0, -23928, -1690128]$ |
\(y^2=x^3-x^2-23928x-1690128\) |
168.2.0.? |
$[(1076, 34888)]$ |
58800.go1 |
58800js1 |
58800.go |
58800js |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.519657873$ |
$1$ |
|
$6$ |
$967680$ |
$2.318268$ |
$-125768785/30618$ |
$0.92563$ |
$4.72321$ |
$[0, 1, 0, -598208, -212462412]$ |
\(y^2=x^3+x^2-598208x-212462412\) |
168.2.0.? |
$[(1108, 22050)]$ |
100800.ck1 |
100800lk1 |
100800.ck |
100800lk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.592138927$ |
$1$ |
|
$2$ |
$258048$ |
$1.436474$ |
$-125768785/30618$ |
$0.92563$ |
$3.58377$ |
$[0, 0, 0, -17580, -1069360]$ |
\(y^2=x^3-17580x-1069360\) |
168.2.0.? |
$[(266, 3616)]$ |
100800.fn1 |
100800gk1 |
100800.fn |
100800gk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.217817204$ |
$1$ |
|
$2$ |
$1290240$ |
$2.241192$ |
$-125768785/30618$ |
$0.92563$ |
$4.42196$ |
$[0, 0, 0, -439500, 133670000]$ |
\(y^2=x^3-439500x+133670000\) |
168.2.0.? |
$[(46, 10656)]$ |
100800.kr1 |
100800pm1 |
100800.kr |
100800pm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$10.02383372$ |
$1$ |
|
$0$ |
$1290240$ |
$2.241192$ |
$-125768785/30618$ |
$0.92563$ |
$4.42196$ |
$[0, 0, 0, -439500, -133670000]$ |
\(y^2=x^3-439500x-133670000\) |
168.2.0.? |
$[(347909/17, 161597673/17)]$ |
100800.ns1 |
100800ev1 |
100800.ns |
100800ev |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.702859619$ |
$1$ |
|
$2$ |
$258048$ |
$1.436474$ |
$-125768785/30618$ |
$0.92563$ |
$3.58377$ |
$[0, 0, 0, -17580, 1069360]$ |
\(y^2=x^3-17580x+1069360\) |
168.2.0.? |
$[(-136, 972)]$ |
127050.dy1 |
127050ej1 |
127050.dy |
127050ej |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.318890927$ |
$1$ |
|
$4$ |
$1176000$ |
$1.851112$ |
$-125768785/30618$ |
$0.92563$ |
$3.93658$ |
$[1, 0, 1, -92326, 12862298]$ |
\(y^2+xy+y=x^3-92326x+12862298\) |
168.2.0.? |
$[(208, 1529)]$ |
127050.ft1 |
127050fa1 |
127050.ft |
127050fa |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$5.029284749$ |
$1$ |
|
$0$ |
$235200$ |
$1.046394$ |
$-125768785/30618$ |
$0.92563$ |
$3.11490$ |
$[1, 1, 1, -3693, 101421]$ |
\(y^2+xy+y=x^3+x^2-3693x+101421\) |
168.2.0.? |
$[(-1059/4, 17937/4)]$ |
176400.ok1 |
176400cb1 |
176400.ok |
176400cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{13} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.991571147$ |
$1$ |
|
$4$ |
$7741440$ |
$2.867573$ |
$-125768785/30618$ |
$0.92563$ |
$4.83932$ |
$[0, 0, 0, -5383875, 5731101250]$ |
\(y^2=x^3-5383875x+5731101250\) |
168.2.0.? |
$[(-679, 95256)]$ |
176400.op1 |
176400ga1 |
176400.op |
176400ga |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{13} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.062855$ |
$-125768785/30618$ |
$0.92563$ |
$4.03997$ |
$[0, 0, 0, -215355, 45848810]$ |
\(y^2=x^3-215355x+45848810\) |
168.2.0.? |
$[]$ |
177450.ec1 |
177450fj1 |
177450.ec |
177450fj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1965600$ |
$1.934641$ |
$-125768785/30618$ |
$0.92563$ |
$3.91069$ |
$[1, 0, 1, -128951, -21254452]$ |
\(y^2+xy+y=x^3-128951x-21254452\) |
168.2.0.? |
$[]$ |
177450.fu1 |
177450et1 |
177450.fu |
177450et |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$393120$ |
$1.129921$ |
$-125768785/30618$ |
$0.92563$ |
$3.11172$ |
$[1, 1, 1, -5158, -172099]$ |
\(y^2+xy+y=x^3+x^2-5158x-172099\) |
168.2.0.? |
$[]$ |
235200.eb1 |
235200eb1 |
235200.eb |
235200eb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.075980817$ |
$1$ |
|
$10$ |
$1548288$ |
$1.860123$ |
$-125768785/30618$ |
$0.92563$ |
$3.74930$ |
$[0, -1, 0, -95713, 13616737]$ |
\(y^2=x^3-x^2-95713x+13616737\) |
168.2.0.? |
$[(201, 1568), (-247, 4704)]$ |
235200.ki1 |
235200ki1 |
235200.ki |
235200ki |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.664841$ |
$-125768785/30618$ |
$0.92563$ |
$4.53006$ |
$[0, -1, 0, -2392833, -1697306463]$ |
\(y^2=x^3-x^2-2392833x-1697306463\) |
168.2.0.? |
$[]$ |
235200.sw1 |
235200sw1 |
235200.sw |
235200sw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.664841$ |
$-125768785/30618$ |
$0.92563$ |
$4.53006$ |
$[0, 1, 0, -2392833, 1697306463]$ |
\(y^2=x^3+x^2-2392833x+1697306463\) |
168.2.0.? |
$[]$ |
235200.yr1 |
235200yr1 |
235200.yr |
235200yr |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$1.860123$ |
$-125768785/30618$ |
$0.92563$ |
$3.74930$ |
$[0, 1, 0, -95713, -13616737]$ |
\(y^2=x^3+x^2-95713x-13616737\) |
168.2.0.? |
$[]$ |
303450.by1 |
303450by1 |
303450.by |
303450by |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$868224$ |
$1.264053$ |
$-125768785/30618$ |
$0.92563$ |
$3.10697$ |
$[1, 0, 1, -8821, -380782]$ |
\(y^2+xy+y=x^3-8821x-380782\) |
168.2.0.? |
$[]$ |
303450.ex1 |
303450ex1 |
303450.ex |
303450ex |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4341120$ |
$2.068771$ |
$-125768785/30618$ |
$0.92563$ |
$3.87198$ |
$[1, 1, 1, -220513, -47597719]$ |
\(y^2+xy+y=x^3+x^2-220513x-47597719\) |
168.2.0.? |
$[]$ |
379050.t1 |
379050t1 |
379050.t |
379050t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$8.148132720$ |
$1$ |
|
$0$ |
$5806080$ |
$2.124386$ |
$-125768785/30618$ |
$0.92563$ |
$3.85688$ |
$[1, 1, 0, -275450, 66207750]$ |
\(y^2+xy=x^3+x^2-275450x+66207750\) |
168.2.0.? |
$[(62821/5, 15278766/5)]$ |
379050.jt1 |
379050jt1 |
379050.jt |
379050jt |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.197202758$ |
$1$ |
|
$0$ |
$1161216$ |
$1.319666$ |
$-125768785/30618$ |
$0.92563$ |
$3.10512$ |
$[1, 0, 0, -11018, 529662]$ |
\(y^2+xy=x^3-11018x+529662\) |
168.2.0.? |
$[(367/2, 3965/2)]$ |
381150.cr1 |
381150cr1 |
381150.cr |
381150cr |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$8.521006519$ |
$1$ |
|
$0$ |
$1881600$ |
$1.595699$ |
$-125768785/30618$ |
$0.92563$ |
$3.36154$ |
$[1, -1, 0, -33237, -2771609]$ |
\(y^2+xy=x^3-x^2-33237x-2771609\) |
168.2.0.? |
$[(134165/17, 43264117/17)]$ |
381150.oj1 |
381150oj1 |
381150.oj |
381150oj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9408000$ |
$2.400417$ |
$-125768785/30618$ |
$0.92563$ |
$4.11298$ |
$[1, -1, 1, -830930, -347282053]$ |
\(y^2+xy+y=x^3-x^2-830930x-347282053\) |
168.2.0.? |
$[]$ |
705600.oz1 |
- |
705600.oz |
- |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{2} \cdot 7^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.576847008$ |
$1$ |
|
$10$ |
$12386304$ |
$2.409428$ |
$-125768785/30618$ |
$0.92563$ |
$3.93291$ |
$[0, 0, 0, -861420, 366790480]$ |
\(y^2=x^3-861420x+366790480\) |
168.2.0.? |
$[(506, 7776), (749, 11907)]$ |
705600.qd1 |
- |
705600.qd |
- |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.098279206$ |
$1$ |
|
$2$ |
$61931520$ |
$3.214146$ |
$-125768785/30618$ |
$0.92563$ |
$4.64998$ |
$[0, 0, 0, -21535500, 45848810000]$ |
\(y^2=x^3-21535500x+45848810000\) |
168.2.0.? |
$[(700, 176400)]$ |
705600.bmq1 |
- |
705600.bmq |
- |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$7.971970350$ |
$1$ |
|
$0$ |
$12386304$ |
$2.409428$ |
$-125768785/30618$ |
$0.92563$ |
$3.93291$ |
$[0, 0, 0, -861420, -366790480]$ |
\(y^2=x^3-861420x-366790480\) |
168.2.0.? |
$[(85141/5, 23782689/5)]$ |
705600.bnu1 |
- |
705600.bnu |
- |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61931520$ |
$3.214146$ |
$-125768785/30618$ |
$0.92563$ |
$4.64998$ |
$[0, 0, 0, -21535500, -45848810000]$ |
\(y^2=x^3-21535500x-45848810000\) |
168.2.0.? |
$[]$ |