| 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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 5610.q4 |
5610t4 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$4$ |
$2$ |
$4$ |
$221184$ |
$2.411480$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 0, 1, -2484908, -1506795694]$ |
\(y^2+xy+y=x^3-2484908x-1506795694\) |
| 16830.bk4 |
16830cd5 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$1$ |
$4$ |
$2$ |
$0$ |
$1769472$ |
$2.960789$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, -1, 1, -22364168, 40683483731]$ |
\(y^2+xy+y=x^3-x^2-22364168x+40683483731\) |
| 28050.cx4 |
28050cm5 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$0$ |
$5308416$ |
$3.216202$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 1, 1, -62122688, -188349461719]$ |
\(y^2+xy+y=x^3+x^2-62122688x-188349461719\) |
| 44880.bh4 |
44880br5 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$8.167507165$ |
$1$ |
|
$3$ |
$5308416$ |
$3.104630$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, -1, 0, -39758520, 96434924400]$ |
\(y^2=x^3-x^2-39758520x+96434924400\) |
| 61710.da4 |
61710cz5 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$3.610428$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 0, 0, -300673810, 2005244394572]$ |
\(y^2+xy=x^3-300673810x+2005244394572\) |
| 84150.df4 |
84150bk5 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{9} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$0$ |
$42467328$ |
$3.765507$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, -1, 0, -559104192, 5084876362216]$ |
\(y^2+xy=x^3-x^2-559104192x+5084876362216\) |
| 95370.j4 |
95370c5 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$39.16301440$ |
$4$ |
$2$ |
$0$ |
$63700992$ |
$3.828087$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 1, 0, -718138273, -7402169105123]$ |
\(y^2+xy=x^3+x^2-718138273x-7402169105123\) |
| 134640.cq4 |
134640cn5 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$10.76261808$ |
$1$ |
|
$1$ |
$42467328$ |
$3.653934$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, 0, 0, -357826683, -2603385132118]$ |
\(y^2=x^3-357826683x-2603385132118\) |
| 179520.b4 |
179520hr5 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25.74045868$ |
$4$ |
$2$ |
$1$ |
$42467328$ |
$3.451202$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, -1, 0, -159034081, -771320361119]$ |
\(y^2=x^3-x^2-159034081x-771320361119\) |
| 179520.gd4 |
179520bv4 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1$ |
$1$ |
|
$1$ |
$42467328$ |
$3.451202$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, 1, 0, -159034081, 771320361119]$ |
\(y^2=x^3+x^2-159034081x+771320361119\) |
| 185130.be4 |
185130eq5 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{3} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$34.57616230$ |
$4$ |
$2$ |
$0$ |
$212336640$ |
$4.159737$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, -1, 0, -2706064290, -54141598653444]$ |
\(y^2+xy=x^3-x^2-2706064290x-54141598653444\) |
| 224400.eo4 |
224400bf4 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{9} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$1$ |
$127401984$ |
$3.909348$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, 1, 0, -993963008, 12052377623988]$ |
\(y^2=x^3+x^2-993963008x+12052377623988\) |
| 274890.n4 |
274890n4 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{12} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$14.33391695$ |
$1$ |
|
$8$ |
$63700992$ |
$3.384438$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 1, 0, -121760468, 516709162488]$ |
\(y^2+xy=x^3+x^2-121760468x+516709162488\) |
| 286110.gv4 |
286110gv4 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{3} \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1.088313316$ |
$1$ |
|
$4$ |
$509607936$ |
$4.377396$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, -1, 1, -6463244462, 199852102593861]$ |
\(y^2+xy+y=x^3-x^2-6463244462x+199852102593861\) |
| 308550.h4 |
308550h4 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1$ |
$4$ |
$2$ |
$0$ |
$637009920$ |
$4.415146$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 1, 0, -7516845250, 250655549321500]$ |
\(y^2+xy=x^3+x^2-7516845250x+250655549321500\) |
| 476850.ib4 |
476850ib5 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$11.20554083$ |
$1$ |
|
$2$ |
$1528823808$ |
$4.632805$ |
$1696892787277117093383481/1440538624914939000$ |
$[1, 0, 0, -17953456838, -925235231226708]$ |
\(y^2+xy=x^3-17953456838x-925235231226708\) |
| 493680.cf4 |
493680cf5 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{3} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$7.819149240$ |
$4$ |
$2$ |
$3$ |
$637009920$ |
$4.303574$ |
$1696892787277117093383481/1440538624914939000$ |
$[0, -1, 0, -4810780960, -128335641252608]$ |
\(y^2=x^3-x^2-4810780960x-128335641252608\) |
