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 |
1449.b1 |
1449b1 |
1449.b |
1449b |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 23 \) |
\( - 3^{3} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.059162024$ |
$1$ |
|
$12$ |
$784$ |
$0.416408$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.06353$ |
$[0, 0, 1, -381, 3062]$ |
\(y^2+y=x^3-381x+3062\) |
966.2.0.? |
$[(-15, 73)]$ |
1449.e1 |
1449a1 |
1449.e |
1449a |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 23 \) |
\( - 3^{9} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2352$ |
$0.965714$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.96915$ |
$[0, 0, 1, -3429, -82681]$ |
\(y^2+y=x^3-3429x-82681\) |
966.2.0.? |
$[]$ |
10143.d1 |
10143e1 |
10143.d |
10143e |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{13} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.577510458$ |
$1$ |
|
$0$ |
$37632$ |
$1.389362$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.47203$ |
$[0, 0, 1, -18669, -1050352]$ |
\(y^2+y=x^3-18669x-1050352\) |
966.2.0.? |
$[(1449/2, 50417/2)]$ |
10143.r1 |
10143c1 |
10143.r |
10143c |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{13} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$112896$ |
$1.938669$ |
$-226534772736/18941489$ |
$0.99435$ |
$5.18661$ |
$[0, 0, 1, -168021, 28359497]$ |
\(y^2+y=x^3-168021x+28359497\) |
966.2.0.? |
$[]$ |
23184.l1 |
23184u1 |
23184.l |
23184u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31360$ |
$1.109554$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.77016$ |
$[0, 0, 0, -6096, -195984]$ |
\(y^2=x^3-6096x-195984\) |
966.2.0.? |
$[]$ |
23184.bm1 |
23184z1 |
23184.bm |
23184z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$6.284569870$ |
$1$ |
|
$0$ |
$94080$ |
$1.658861$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.42597$ |
$[0, 0, 0, -54864, 5291568]$ |
\(y^2=x^3-54864x+5291568\) |
966.2.0.? |
$[(1449/4, 66069/4)]$ |
33327.b1 |
33327d1 |
33327.b |
33327d |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 7^{7} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$413952$ |
$1.984154$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.64657$ |
$[0, 0, 1, -201549, -37258396]$ |
\(y^2+y=x^3-201549x-37258396\) |
966.2.0.? |
$[]$ |
33327.p1 |
33327c1 |
33327.p |
33327c |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{9} \cdot 7^{7} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1241856$ |
$2.533463$ |
$-226534772736/18941489$ |
$0.99435$ |
$5.27952$ |
$[0, 0, 1, -1813941, 1005976685]$ |
\(y^2+y=x^3-1813941x+1005976685\) |
966.2.0.? |
$[]$ |
36225.d1 |
36225b1 |
36225.d |
36225b |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$301056$ |
$1.770433$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.36535$ |
$[0, 0, 1, -85725, -10335094]$ |
\(y^2+y=x^3-85725x-10335094\) |
966.2.0.? |
$[]$ |
36225.by1 |
36225a1 |
36225.by |
36225a |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{3} \cdot 5^{6} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$3.856935640$ |
$1$ |
|
$0$ |
$100352$ |
$1.221127$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.73742$ |
$[0, 0, 1, -9525, 382781]$ |
\(y^2+y=x^3-9525x+382781\) |
966.2.0.? |
$[(-15/2, 5171/2)]$ |
92736.bd1 |
92736dc1 |
92736.bd |
92736dc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$4.390852516$ |
$1$ |
|
$2$ |
$188160$ |
$1.312286$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.52590$ |
$[0, 0, 0, -13716, 661446]$ |
\(y^2=x^3-13716x+661446\) |
966.2.0.? |
$[(55, 271)]$ |
92736.bn1 |
92736n1 |
92736.bn |
92736n |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{7} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$3.435536685$ |
$1$ |
|
$6$ |
$188160$ |
$1.312286$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.52590$ |
$[0, 0, 0, -13716, -661446]$ |
\(y^2=x^3-13716x-661446\) |
966.2.0.? |
$[(531, 11907), (139, 343)]$ |
92736.eg1 |
92736cv1 |
92736.eg |
92736cv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$62720$ |
$0.762981$ |
$-226534772736/18941489$ |
$0.99435$ |
$2.94958$ |
$[0, 0, 0, -1524, -24498]$ |
\(y^2=x^3-1524x-24498\) |
966.2.0.? |
$[]$ |
92736.ev1 |
92736u1 |
92736.ev |
92736u |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.498891704$ |
$1$ |
|
$2$ |
$62720$ |
$0.762981$ |
$-226534772736/18941489$ |
$0.99435$ |
$2.94958$ |
$[0, 0, 0, -1524, 24498]$ |
\(y^2=x^3-1524x+24498\) |
966.2.0.? |
$[(19, 49)]$ |
162288.bp1 |
162288dg1 |
162288.bp |
162288dg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{13} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4515840$ |
$2.631817$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.68128$ |
$[0, 0, 0, -2688336, -1815007824]$ |
\(y^2=x^3-2688336x-1815007824\) |
966.2.0.? |
$[]$ |
162288.fe1 |
162288ee1 |
162288.fe |
162288ee |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{13} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$7.890017359$ |
$1$ |
|
$0$ |
$1505280$ |
$2.082508$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.13184$ |
$[0, 0, 0, -298704, 67222512]$ |
\(y^2=x^3-298704x+67222512\) |
966.2.0.? |
$[(4809/8, 3442299/8)]$ |
175329.b1 |
175329b1 |
175329.b |
175329b |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{7} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3363360$ |
$2.164661$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.18703$ |
$[0, 0, 1, -414909, 110048078]$ |
\(y^2+y=x^3-414909x+110048078\) |
966.2.0.? |
$[]$ |
175329.ba1 |
175329bd1 |
175329.ba |
175329bd |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$31.80862706$ |
$1$ |
|
$0$ |
$1121120$ |
$1.615355$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.64111$ |
$[0, 0, 1, -46101, -4075855]$ |
\(y^2+y=x^3-46101x-4075855\) |
966.2.0.? |
$[(79105338863241/518632, 389606574472675252645/518632)]$ |
233289.c1 |
233289c1 |
233289.c |
233289c |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{3} \cdot 7^{13} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.273092815$ |
$1$ |
|
$4$ |
$19869696$ |
$2.957111$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.85965$ |
$[0, 0, 1, -9875901, 12779629742]$ |
\(y^2+y=x^3-9875901x+12779629742\) |
966.2.0.? |
$[(1449, 38881)]$ |
233289.by1 |
233289by1 |
233289.by |
233289by |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{9} \cdot 7^{13} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$103.6978203$ |
$1$ |
|
$0$ |
$59609088$ |
$3.506416$ |
$-226534772736/18941489$ |
$0.99435$ |
$5.39295$ |
$[0, 0, 1, -88883109, -345050003041]$ |
\(y^2+y=x^3-88883109x-345050003041\) |
966.2.0.? |
$[(646983994355238951105051392032855857285922947801/6869096865132864969928, 326408158473812411192382708438086870635826266027192126021724506346005021/6869096865132864969928)]$ |
244881.g1 |
244881g1 |
244881.g |
244881g |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{7} \cdot 13^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$7.252082697$ |
$1$ |
|
$0$ |
$5531904$ |
$2.248188$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.15507$ |
$[0, 0, 1, -579501, -181649608]$ |
\(y^2+y=x^3-579501x-181649608\) |
966.2.0.? |
$[(73476/7, 16524733/7)]$ |
244881.bx1 |
244881bx1 |
244881.bx |
244881bx |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{7} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1843968$ |
$1.698883$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.62385$ |
$[0, 0, 1, -64389, 6727763]$ |
\(y^2+y=x^3-64389x+6727763\) |
966.2.0.? |
$[]$ |
253575.l1 |
253575l1 |
253575.l |
253575l |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{13} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$2.775366635$ |
$1$ |
|
$2$ |
$14450688$ |
$2.743389$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.62098$ |
$[0, 0, 1, -4200525, 3544937156]$ |
\(y^2+y=x^3-4200525x+3544937156\) |
966.2.0.? |
$[(-1260, 82687)]$ |
253575.fs1 |
253575fs1 |
253575.fs |
253575fs |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{6} \cdot 7^{13} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4816896$ |
$2.194080$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.09124$ |
$[0, 0, 1, -466725, -131293969]$ |
\(y^2+y=x^3-466725x-131293969\) |
966.2.0.? |
$[]$ |
418761.d1 |
418761d1 |
418761.d |
418761d |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{7} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$3.346505298$ |
$1$ |
|
$2$ |
$3863552$ |
$1.833014$ |
$-226534772736/18941489$ |
$0.99435$ |
$3.59799$ |
$[0, 0, 1, -110109, 15044834]$ |
\(y^2+y=x^3-110109x+15044834\) |
966.2.0.? |
$[(-221, 5346)]$ |
418761.bl1 |
418761bl1 |
418761.bl |
418761bl |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{7} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$11590656$ |
$2.382320$ |
$-226534772736/18941489$ |
$0.99435$ |
$4.10720$ |
$[0, 0, 1, -990981, -406210525]$ |
\(y^2+y=x^3-990981x-406210525\) |
966.2.0.? |
$[]$ |