| 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 |
| 9240.l4 |
9240h1 |
9240.l |
9240h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$2.924842596$ |
$1$ |
|
$7$ |
$3072$ |
$0.193588$ |
$1869154304/4611915$ |
$0.86673$ |
$2.77115$ |
$[0, -1, 0, 65, 340]$ |
\(y^2=x^3-x^2+65x+340\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$ |
$[(12, 52)]$ |
| 18480.db4 |
18480bg1 |
18480.db |
18480bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$0.193588$ |
$1869154304/4611915$ |
$0.86673$ |
$2.57563$ |
$[0, 1, 0, 65, -340]$ |
\(y^2=x^3+x^2+65x-340\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$ |
$[]$ |
| 27720.g4 |
27720bc1 |
27720.g |
27720bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.255056523$ |
$1$ |
|
$5$ |
$24576$ |
$0.742894$ |
$1869154304/4611915$ |
$0.86673$ |
$3.11790$ |
$[0, 0, 0, 582, -9763]$ |
\(y^2=x^3+582x-9763\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(22, 117)]$ |
| 46200.da4 |
46200cz1 |
46200.da |
46200cz |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1.573753846$ |
$1$ |
|
$5$ |
$73728$ |
$0.998307$ |
$1869154304/4611915$ |
$0.86673$ |
$3.25497$ |
$[0, 1, 0, 1617, 45738]$ |
\(y^2=x^3+x^2+1617x+45738\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[(3, 225)]$ |
| 55440.cm4 |
55440z1 |
55440.cm |
55440z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.742894$ |
$1869154304/4611915$ |
$0.86673$ |
$2.92005$ |
$[0, 0, 0, 582, 9763]$ |
\(y^2=x^3+582x+9763\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 64680.ch4 |
64680ba1 |
64680.ch |
64680ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.166544$ |
$1869154304/4611915$ |
$0.86673$ |
$3.33835$ |
$[0, 1, 0, 3169, -122970]$ |
\(y^2=x^3+x^2+3169x-122970\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 73920.bo4 |
73920fc1 |
73920.bo |
73920fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$3.065570338$ |
$1$ |
|
$13$ |
$49152$ |
$0.540162$ |
$1869154304/4611915$ |
$0.86673$ |
$2.62811$ |
$[0, -1, 0, 259, -2979]$ |
\(y^2=x^3-x^2+259x-2979\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 70.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(20, 99), (25, 136)]$ |
| 73920.eh4 |
73920cf1 |
73920.eh |
73920cf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$5.911711787$ |
$1$ |
|
$5$ |
$49152$ |
$0.540162$ |
$1869154304/4611915$ |
$0.86673$ |
$2.62811$ |
$[0, 1, 0, 259, 2979]$ |
\(y^2=x^3+x^2+259x+2979\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(7, 72), (55, 432)]$ |
| 92400.e4 |
92400g1 |
92400.e |
92400g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$5.192798022$ |
$1$ |
|
$3$ |
$147456$ |
$0.998307$ |
$1869154304/4611915$ |
$0.86673$ |
$3.05765$ |
$[0, -1, 0, 1617, -45738]$ |
\(y^2=x^3-x^2+1617x-45738\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(1958, 86636)]$ |
| 101640.z4 |
101640ch1 |
101640.z |
101640ch |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$5.169020620$ |
$1$ |
|
$3$ |
$368640$ |
$1.392536$ |
$1869154304/4611915$ |
$0.86673$ |
$3.44270$ |
$[0, -1, 0, 7825, -483888]$ |
\(y^2=x^3-x^2+7825x-483888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[(112, 1336)]$ |
| 129360.d4 |
129360v1 |
129360.d |
129360v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.166544$ |
$1869154304/4611915$ |
$0.86673$ |
$3.14176$ |
$[0, -1, 0, 3169, 122970]$ |
\(y^2=x^3-x^2+3169x+122970\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 138600.cr4 |
138600du1 |
138600.cr |
138600du |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.170201624$ |
$1$ |
|
$7$ |
$589824$ |
$1.547613$ |
$1869154304/4611915$ |
$0.86673$ |
$3.50969$ |
$[0, 0, 0, 14550, -1220375]$ |
\(y^2=x^3+14550x-1220375\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(80, 675)]$ |
| 194040.cr4 |
194040m1 |
194040.cr |
194040m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.790522084$ |
$1$ |
|
$5$ |
$1179648$ |
$1.715849$ |
$1869154304/4611915$ |
$0.86673$ |
$3.57851$ |
$[0, 0, 0, 28518, 3348709]$ |
\(y^2=x^3+28518x+3348709\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(30, 2057)]$ |
| 203280.fm4 |
203280fa1 |
203280.fm |
203280fa |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.392536$ |
$1869154304/4611915$ |
$0.86673$ |
$3.24746$ |
$[0, 1, 0, 7825, 483888]$ |
\(y^2=x^3+x^2+7825x+483888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 221760.ii4 |
221760je1 |
221760.ii |
221760je |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.089468$ |
$1869154304/4611915$ |
$0.86673$ |
$2.92905$ |
$[0, 0, 0, 2328, -78104]$ |
\(y^2=x^3+2328x-78104\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 70.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 221760.ko4 |
221760t1 |
221760.ko |
221760t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.521566183$ |
$1$ |
|
$3$ |
$393216$ |
$1.089468$ |
$1869154304/4611915$ |
$0.86673$ |
$2.92905$ |
$[0, 0, 0, 2328, 78104]$ |
\(y^2=x^3+2328x+78104\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 70.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(-10, 232)]$ |
| 277200.dr4 |
277200dr1 |
277200.dr |
277200dr |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.060398071$ |
$1$ |
|
$5$ |
$1179648$ |
$1.547613$ |
$1869154304/4611915$ |
$0.86673$ |
$3.31558$ |
$[0, 0, 0, 14550, 1220375]$ |
\(y^2=x^3+14550x+1220375\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(595, 14850)]$ |
| 304920.bi4 |
304920bi1 |
304920.bi |
304920bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.941843$ |
$1869154304/4611915$ |
$0.86673$ |
$3.66518$ |
$[0, 0, 0, 70422, 12994553]$ |
\(y^2=x^3+70422x+12994553\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 323400.er4 |
323400er1 |
323400.er |
323400er |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$1.971262$ |
$1869154304/4611915$ |
$0.86673$ |
$3.67601$ |
$[0, -1, 0, 79217, -15529688]$ |
\(y^2=x^3-x^2+79217x-15529688\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$ |
$[]$ |
| 369600.jf4 |
369600jf1 |
369600.jf |
369600jf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.344881$ |
$1869154304/4611915$ |
$0.86673$ |
$3.05142$ |
$[0, -1, 0, 6467, 359437]$ |
\(y^2=x^3-x^2+6467x+359437\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 369600.qv4 |
369600qv1 |
369600.qv |
369600qv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.344881$ |
$1869154304/4611915$ |
$0.86673$ |
$3.05142$ |
$[0, 1, 0, 6467, -359437]$ |
\(y^2=x^3+x^2+6467x-359437\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 388080.lu4 |
388080lu1 |
388080.lu |
388080lu |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.628381464$ |
$1$ |
|
$3$ |
$2359296$ |
$1.715849$ |
$1869154304/4611915$ |
$0.86673$ |
$3.38577$ |
$[0, 0, 0, 28518, -3348709]$ |
\(y^2=x^3+28518x-3348709\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(175, 2646)]$ |
