| 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 |
| 4046.j2 |
4046j2 |
4046.j |
4046j |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 7^{9} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$154224$ |
$2.557652$ |
$845095823/80707214$ |
$1.05336$ |
$6.50018$ |
$[1, 1, 1, 248823, 611945365]$ |
\(y^2+xy+y=x^3+x^2+248823x+611945365\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 2856.16.0.? |
$[]$ |
| 4046.r2 |
4046r2 |
4046.r |
4046r |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9072$ |
$1.141043$ |
$845095823/80707214$ |
$1.05336$ |
$4.45342$ |
$[1, 0, 0, 861, 124607]$ |
\(y^2+xy=x^3+861x+124607\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 28322.s2 |
28322bi2 |
28322.s |
28322bi |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 7^{15} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$2.113998$ |
$845095823/80707214$ |
$1.05336$ |
$4.74699$ |
$[1, 1, 1, 42188, -42698013]$ |
\(y^2+xy+y=x^3+x^2+42188x-42698013\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.5, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 28322.bg2 |
28322v2 |
28322.bg |
28322v |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 7^{15} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$88.57109984$ |
$1$ |
|
$0$ |
$7402752$ |
$3.530605$ |
$845095823/80707214$ |
$1.05336$ |
$6.40523$ |
$[1, 0, 0, 12192326, -209860683278]$ |
\(y^2+xy=x^3+12192326x-209860683278\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 357.8.0.?, 408.8.0.?, $\ldots$ |
$[(163028086473797253010717017446720862016789/161249036018872380, 65812288616931555570367446148460128655308718964138419910219827/161249036018872380)]$ |
| 32368.o2 |
32368q2 |
32368.o |
32368q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{9} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$8.215154581$ |
$1$ |
|
$0$ |
$217728$ |
$1.834190$ |
$845095823/80707214$ |
$1.05336$ |
$4.36263$ |
$[0, -1, 0, 13776, -7974848]$ |
\(y^2=x^3-x^2+13776x-7974848\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(14256/5, 1700104/5)]$ |
| 32368.w2 |
32368y2 |
32368.w |
32368y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$3.596935509$ |
$1$ |
|
$2$ |
$3701376$ |
$3.250797$ |
$845095823/80707214$ |
$1.05336$ |
$5.99955$ |
$[0, 1, 0, 3981168, -39156541036]$ |
\(y^2=x^3+x^2+3981168x-39156541036\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(10858, 1133272)]$ |
| 36414.h2 |
36414bn2 |
36414.h |
36414bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$272160$ |
$1.690350$ |
$845095823/80707214$ |
$1.05336$ |
$4.14936$ |
$[1, -1, 0, 7749, -3364389]$ |
\(y^2+xy=x^3-x^2+7749x-3364389\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 36414.bk2 |
36414u2 |
36414.bk |
36414u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{9} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$4626720$ |
$3.106956$ |
$845095823/80707214$ |
$1.05336$ |
$5.76792$ |
$[1, -1, 0, 2239407, -16520285453]$ |
\(y^2+xy=x^3-x^2+2239407x-16520285453\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 2856.16.0.? |
$[]$ |
| 101150.j2 |
101150l2 |
101150.j |
101150l |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$979776$ |
$1.945763$ |
$845095823/80707214$ |
$1.05336$ |
$4.04747$ |
$[1, 1, 0, 21525, 15575875]$ |
\(y^2+xy=x^3+x^2+21525x+15575875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 840.16.0.? |
$[]$ |
| 101150.bb2 |
101150r2 |
101150.bb |
101150r |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 5^{6} \cdot 7^{9} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16656192$ |
$3.362370$ |
$845095823/80707214$ |
$1.05336$ |
$5.52254$ |
$[1, 0, 1, 6220574, 76480729498]$ |
\(y^2+xy+y=x^3+6220574x+76480729498\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 255.8.0.?, 14280.16.0.? |
$[]$ |
| 129472.z2 |
129472bn2 |
129472.z |
129472bn |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 7^{9} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.475097842$ |
$1$ |
|
$6$ |
$1741824$ |
$2.180763$ |
$845095823/80707214$ |
$1.05336$ |
$4.20215$ |
$[0, -1, 0, 55103, 63743681]$ |
\(y^2=x^3-x^2+55103x+63743681\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 42.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(337, 10976)]$ |
| 129472.bo2 |
129472dc2 |
129472.bo |
129472dc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$6.052359887$ |
$1$ |
|
$2$ |
$29611008$ |
$3.597370$ |
$845095823/80707214$ |
$1.05336$ |
$5.64629$ |
$[0, -1, 0, 15924671, -313268252959]$ |
\(y^2=x^3-x^2+15924671x-313268252959\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(18245, 2459744)]$ |
| 129472.ch2 |
129472cl2 |
129472.ch |
129472cl |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 7^{9} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$6.704982454$ |
$1$ |
|
$0$ |
$1741824$ |
$2.180763$ |
$845095823/80707214$ |
$1.05336$ |
$4.20215$ |
$[0, 1, 0, 55103, -63743681]$ |
\(y^2=x^3+x^2+55103x-63743681\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[(5191/3, 341792/3)]$ |
| 129472.cw2 |
129472d2 |
129472.cw |
129472d |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$47.62471981$ |
$1$ |
|
$0$ |
$29611008$ |
$3.597370$ |
$845095823/80707214$ |
$1.05336$ |
$5.64629$ |
$[0, 1, 0, 15924671, 313268252959]$ |
\(y^2=x^3+x^2+15924671x+313268252959\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 714.8.0.?, $\ldots$ |
$[(4252973207123979361051/271303905, 278244567157198453310722299624224/271303905)]$ |
| 226576.bn2 |
226576z2 |
226576.bn |
226576z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{15} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$29.51144017$ |
$1$ |
|
$0$ |
$177666048$ |
$4.223755$ |
$845095823/80707214$ |
$1.05336$ |
$5.99962$ |
$[0, -1, 0, 195077216, 13431083729792]$ |
\(y^2=x^3-x^2+195077216x+13431083729792\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(-16795578194984/28265, 4396238045512105864/28265)]$ |
| 226576.cc2 |
226576bk2 |
226576.cc |
226576bk |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{15} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.343683482$ |
$1$ |
|
$10$ |
$10450944$ |
$2.807144$ |
$845095823/80707214$ |
$1.05336$ |
$4.62102$ |
$[0, 1, 0, 675008, 2734022836]$ |
\(y^2=x^3+x^2+675008x+2734022836\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[(25188, 4000066), (-8606/3, 941192/3)]$ |
| 254898.m2 |
254898m2 |
254898.m |
254898m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{15} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$32.10765330$ |
$1$ |
|
$0$ |
$222082560$ |
$4.079910$ |
$845095823/80707214$ |
$1.05336$ |
$5.80420$ |
$[1, -1, 0, 109730934, 5666238448506]$ |
\(y^2+xy=x^3-x^2+109730934x+5666238448506\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 357.8.0.?, 408.8.0.?, $\ldots$ |
$[(47298625135579315/390031, 10284190932985519869719394/390031)]$ |
| 254898.do2 |
254898do2 |
254898.do |
254898do |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{15} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$13063680$ |
$2.663303$ |
$845095823/80707214$ |
$1.05336$ |
$4.43864$ |
$[1, -1, 0, 379692, 1153226038]$ |
\(y^2+xy=x^3-x^2+379692x+1153226038\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.6, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 291312.l2 |
291312l2 |
291312.l |
291312l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6531840$ |
$2.383495$ |
$845095823/80707214$ |
$1.05336$ |
$4.12467$ |
$[0, 0, 0, 123981, 215196914]$ |
\(y^2=x^3+123981x+215196914\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 291312.fr2 |
291312fr2 |
291312.fr |
291312fr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 7^{9} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$111041280$ |
$3.800102$ |
$845095823/80707214$ |
$1.05336$ |
$5.47574$ |
$[0, 0, 0, 35830509, 1057262438482]$ |
\(y^2=x^3+35830509x+1057262438482\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[]$ |
| 489566.m2 |
489566m2 |
489566.m |
489566m |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2 \cdot 7^{9} \cdot 11^{6} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$31416$ |
$16$ |
$0$ |
$6.730602923$ |
$1$ |
|
$2$ |
$222082560$ |
$3.756599$ |
$845095823/80707214$ |
$1.05336$ |
$5.21892$ |
$[1, 1, 0, 30107581, -814348743149]$ |
\(y^2+xy=x^3+x^2+30107581x-814348743149\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 561.8.0.?, 31416.16.0.? |
$[(690135, 572998126)]$ |
| 489566.bl2 |
489566bl2 |
489566.bl |
489566bl |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2 \cdot 7^{9} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$12.06556589$ |
$1$ |
|
$0$ |
$13063680$ |
$2.339993$ |
$845095823/80707214$ |
$1.05336$ |
$3.92139$ |
$[1, 0, 1, 104178, -165747738]$ |
\(y^2+xy+y=x^3+104178x-165747738\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 1848.16.0.? |
$[(12637335/2, 44911864173/2)]$ |
