| 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 |
| 8040.g1 |
8040f3 |
8040.g |
8040f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.104771$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.11215$ |
$[0, 1, 0, -4696, 88880]$ |
\(y^2=x^3+x^2-4696x+88880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[ ]$ |
| 16080.i1 |
16080b3 |
16080.i |
16080b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.104771$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.81786$ |
$[0, -1, 0, -4696, -88880]$ |
\(y^2=x^3-x^2-4696x-88880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[ ]$ |
| 24120.o1 |
24120w4 |
24120.o |
24120w |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$131072$ |
$1.654078$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.31769$ |
$[0, 0, 0, -42267, -2442026]$ |
\(y^2=x^3-42267x-2442026\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 536.24.0.?, 1608.48.0.? |
$[ ]$ |
| 40200.q1 |
40200x4 |
40200.q |
40200x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( 2^{11} \cdot 3 \cdot 5^{8} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$4.151809543$ |
$1$ |
|
$1$ |
$393216$ |
$1.909491$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.39875$ |
$[0, -1, 0, -117408, 11344812]$ |
\(y^2=x^3-x^2-117408x+11344812\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$ |
$[(1513/7, 954750/7)]$ |
| 48240.cc1 |
48240x4 |
48240.cc |
48240x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$262144$ |
$1.654078$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.04016$ |
$[0, 0, 0, -42267, 2442026]$ |
\(y^2=x^3-42267x+2442026\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 536.24.0.?, 1608.48.0.? |
$[ ]$ |
| 64320.t1 |
64320t4 |
64320.t |
64320t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 67^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1608$ |
$48$ |
$0$ |
$4.164996439$ |
$1$ |
|
$5$ |
$262144$ |
$1.451344$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.71545$ |
$[0, -1, 0, -18785, 729825]$ |
\(y^2=x^3-x^2-18785x+729825\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 536.24.0.?, 1608.48.0.? |
$[(120, 435)]$ |
| 64320.cw1 |
64320cq4 |
64320.cw |
64320cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$262144$ |
$1.451344$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.71545$ |
$[0, 1, 0, -18785, -729825]$ |
\(y^2=x^3+x^2-18785x-729825\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 536.24.0.?, 1608.48.0.? |
$[ ]$ |
| 80400.ce1 |
80400bc4 |
80400.ce |
80400bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( 2^{11} \cdot 3 \cdot 5^{8} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.909491$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.12880$ |
$[0, 1, 0, -117408, -11344812]$ |
\(y^2=x^3+x^2-117408x-11344812\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 120600.cj1 |
120600u4 |
120600.cj |
120600u |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 67 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$3.461396350$ |
$1$ |
|
$3$ |
$3145728$ |
$2.458797$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.54910$ |
$[0, 0, 0, -1056675, -305253250]$ |
\(y^2=x^3-1056675x-305253250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[(2386, 103716)]$ |
| 192960.f1 |
192960ea4 |
192960.f |
192960ea |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1608$ |
$48$ |
$0$ |
$1.323186499$ |
$1$ |
|
$7$ |
$2097152$ |
$2.000652$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.92168$ |
$[0, 0, 0, -169068, -19536208]$ |
\(y^2=x^3-169068x-19536208\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[(-131, 603)]$ |
| 192960.cu1 |
192960bz3 |
192960.cu |
192960bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1608$ |
$48$ |
$0$ |
$3.637087931$ |
$1$ |
|
$3$ |
$2097152$ |
$2.000652$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.92168$ |
$[0, 0, 0, -169068, 19536208]$ |
\(y^2=x^3-169068x+19536208\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[(-246, 6800)]$ |
| 241200.f1 |
241200f3 |
241200.f |
241200f |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.458797$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.29467$ |
$[0, 0, 0, -1056675, 305253250]$ |
\(y^2=x^3-1056675x+305253250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 321600.e1 |
321600e4 |
321600.e |
321600e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$1.200774243$ |
$1$ |
|
$5$ |
$6291456$ |
$2.256062$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.00540$ |
$[0, -1, 0, -469633, -90288863]$ |
\(y^2=x^3-x^2-469633x-90288863\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[(5477, 402000)]$ |
| 321600.jn1 |
321600jn3 |
321600.jn |
321600jn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8040$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$6291456$ |
$2.256062$ |
$5593330773938/1511334075$ |
$0.91933$ |
$4.00540$ |
$[0, 1, 0, -469633, 90288863]$ |
\(y^2=x^3+x^2-469633x+90288863\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 393960.q1 |
393960q4 |
393960.q |
393960q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11256$ |
$48$ |
$0$ |
$3.279871467$ |
$4$ |
$2$ |
$3$ |
$4718592$ |
$2.077724$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.77621$ |
$[0, -1, 0, -230120, -30946068]$ |
\(y^2=x^3-x^2-230120x-30946068\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(-191, 2450)]$ |
