| 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 |
| 5610.bg2 |
5610bf1 |
5610.bg |
5610bf |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$45360$ |
$1.747469$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.47653$ |
$[1, 0, 0, -145146, -21349404]$ |
\(y^2+xy=x^3-145146x-21349404\) |
3.8.0-3.a.1.2, 22440.16.0.? |
$[]$ |
| 16830.ba2 |
16830bc1 |
16830.ba |
16830bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$362880$ |
$2.296776$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.53563$ |
$[1, -1, 0, -1306314, 576433908]$ |
\(y^2+xy=x^3-x^2-1306314x+576433908\) |
3.8.0-3.a.1.1, 22440.16.0.? |
$[]$ |
| 28050.n2 |
28050a1 |
28050.n |
28050a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{3} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$15.43757158$ |
$1$ |
|
$0$ |
$1088640$ |
$2.552189$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.55879$ |
$[1, 1, 0, -3628650, -2668675500]$ |
\(y^2+xy=x^3+x^2-3628650x-2668675500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 4488.8.0.?, 22440.16.0.? |
$[(25255295/107, 8662326305/107)]$ |
| 44880.l2 |
44880bl1 |
44880.l |
44880bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1088640$ |
$2.440617$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.18990$ |
$[0, -1, 0, -2322336, 1366361856]$ |
\(y^2=x^3-x^2-2322336x+1366361856\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22440.16.0.? |
$[]$ |
| 61710.y2 |
61710y1 |
61710.y |
61710y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{27} \cdot 3^{3} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$3.382566672$ |
$1$ |
|
$2$ |
$5443200$ |
$2.946415$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.59033$ |
$[1, 0, 1, -17562669, 28398494056]$ |
\(y^2+xy+y=x^3-17562669x+28398494056\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 2040.8.0.?, 22440.16.0.? |
$[(2474, 8382)]$ |
| 84150.ga2 |
84150fw1 |
84150.ga |
84150fw |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$0.142881583$ |
$1$ |
|
$10$ |
$8709120$ |
$3.101494$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.60153$ |
$[1, -1, 1, -32657855, 72021580647]$ |
\(y^2+xy+y=x^3-x^2-32657855x+72021580647\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 4488.8.0.?, 22440.16.0.? |
$[(2339, 90630)]$ |
| 95370.cp2 |
95370cr1 |
95370.cp |
95370cr |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13063680$ |
$3.164074$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.60588$ |
$[1, 1, 1, -41947200, -104847674655]$ |
\(y^2+xy+y=x^3+x^2-41947200x-104847674655\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 1320.8.0.?, 22440.16.0.? |
$[]$ |
| 134640.eo2 |
134640y1 |
134640.eo |
134640y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{39} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8709120$ |
$2.989922$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.26525$ |
$[0, 0, 0, -20901027, -36870869086]$ |
\(y^2=x^3-20901027x-36870869086\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22440.16.0.? |
$[]$ |
| 179520.da2 |
179520gz1 |
179520.da |
179520gz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{45} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$8709120$ |
$2.787189$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$4.93896$ |
$[0, -1, 0, -9289345, -10921605503]$ |
\(y^2=x^3-x^2-9289345x-10921605503\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 11220.8.0.?, 22440.16.0.? |
$[]$ |
| 179520.ho2 |
179520s1 |
179520.ho |
179520s |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{45} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1.676570866$ |
$1$ |
|
$0$ |
$8709120$ |
$2.787189$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$4.93896$ |
$[0, 1, 0, -9289345, 10921605503]$ |
\(y^2=x^3+x^2-9289345x+10921605503\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 5610.8.0.?, 22440.16.0.? |
$[(76871/5, 13369344/5)]$ |
| 185130.fd2 |
185130l1 |
185130.fd |
185130l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43545600$ |
$3.495724$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.62744$ |
$[1, -1, 1, -158064017, -766759339519]$ |
\(y^2+xy+y=x^3-x^2-158064017x-766759339519\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 2040.8.0.?, 22440.16.0.? |
$[]$ |
| 224400.gd2 |
224400ca1 |
224400.gd |
224400ca |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5^{7} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26127360$ |
$3.245335$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.29571$ |
$[0, 1, 0, -58058408, 170679115188]$ |
\(y^2=x^3+x^2-58058408x+170679115188\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 4488.8.0.?, 22440.16.0.? |
$[]$ |
| 274890.el2 |
274890el1 |
274890.el |
274890el |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$157080$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17146080$ |
$2.720425$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$4.70696$ |
$[1, 1, 1, -7112155, 7315733417]$ |
\(y^2+xy+y=x^3+x^2-7112155x+7315733417\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 22440.8.0.?, 157080.16.0.? |
$[]$ |
| 286110.x2 |
286110x1 |
286110.x |
286110x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$104509440$ |
$3.713383$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.64034$ |
$[1, -1, 0, -377524800, 2830509690880]$ |
\(y^2+xy=x^3-x^2-377524800x+2830509690880\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 1320.8.0.?, 22440.16.0.? |
$[]$ |
| 308550.gb2 |
308550gb1 |
308550.gb |
308550gb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{27} \cdot 3^{3} \cdot 5^{7} \cdot 11^{7} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$0.213838510$ |
$1$ |
|
$24$ |
$130636800$ |
$3.751137$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.64249$ |
$[1, 1, 1, -439066713, 3549811757031]$ |
\(y^2+xy+y=x^3+x^2-439066713x+3549811757031\) |
3.4.0.a.1, 165.8.0.?, 408.8.0.?, 22440.16.0.? |
$[(-6385, 2471592), (12975, 187112)]$ |
| 476850.ef2 |
476850ef1 |
476850.ef |
476850ef |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{3} \cdot 5^{7} \cdot 11 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$24.34979485$ |
$1$ |
|
$0$ |
$313528320$ |
$3.968796$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.65440$ |
$[1, 0, 1, -1048680001, -13103861971852]$ |
\(y^2+xy+y=x^3-1048680001x-13103861971852\) |
3.4.0.a.1, 255.8.0.?, 264.8.0.?, 22440.16.0.? |
$[(39999655433878/28907, 163931790628309246993/28907)]$ |
| 493680.w2 |
493680w1 |
493680.w |
493680w |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$24.77847287$ |
$1$ |
|
$0$ |
$130636800$ |
$3.639565$ |
$-338173143620095981729/979226371031040$ |
$0.98435$ |
$5.33807$ |
$[0, -1, 0, -281002696, -1817503619600]$ |
\(y^2=x^3-x^2-281002696x-1817503619600\) |
3.4.0.a.1, 132.8.0.?, 2040.8.0.?, 22440.16.0.? |
$[(271371461128244/13927, 4470074751585794064384/13927)]$ |
