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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
6630.u4 |
6630r1 |
6630.u |
6630r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8448$ |
$0.784054$ |
$90391899763439/84690294000$ |
$[1, 1, 1, 935, 9047]$ |
\(y^2+xy+y=x^3+x^2+935x+9047\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 136.24.0.?, $\ldots$ |
$[]$ |
19890.l4 |
19890b1 |
19890.l |
19890b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$67584$ |
$1.333361$ |
$90391899763439/84690294000$ |
$[1, -1, 0, 8415, -235859]$ |
\(y^2+xy=x^3-x^2+8415x-235859\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
33150.q4 |
33150u1 |
33150.q |
33150u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$3.762750052$ |
$1$ |
|
$3$ |
$202752$ |
$1.588774$ |
$90391899763439/84690294000$ |
$[1, 0, 1, 23374, 1084148]$ |
\(y^2+xy+y=x^3+23374x+1084148\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[(2558, 128337)]$ |
53040.ci4 |
53040cu1 |
53040.ci |
53040cu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$0.840329074$ |
$1$ |
|
$5$ |
$202752$ |
$1.477201$ |
$90391899763439/84690294000$ |
$[0, 1, 0, 14960, -549100]$ |
\(y^2=x^3+x^2+14960x-549100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 30.6.0.a.1, 60.24.0-60.g.1.1, 136.24.0.?, $\ldots$ |
$[(340, 6630)]$ |
86190.a4 |
86190i1 |
86190.a |
86190i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1419264$ |
$2.066528$ |
$90391899763439/84690294000$ |
$[1, 1, 0, 158012, 19086592]$ |
\(y^2+xy=x^3+x^2+158012x+19086592\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 52.12.0-4.c.1.2, 60.12.0.g.1, $\ldots$ |
$[]$ |
99450.bz4 |
99450dm1 |
99450.bz |
99450dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1.628790566$ |
$1$ |
|
$11$ |
$1622016$ |
$2.138081$ |
$90391899763439/84690294000$ |
$[1, -1, 1, 210370, -29272003]$ |
\(y^2+xy+y=x^3-x^2+210370x-29272003\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 136.24.0.?, $\ldots$ |
$[(139, 1555)]$ |
112710.ck4 |
112710cp1 |
112710.ck |
112710cp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2040$ |
$48$ |
$0$ |
$6.528495088$ |
$1$ |
|
$1$ |
$2433024$ |
$2.200661$ |
$90391899763439/84690294000$ |
$[1, 0, 0, 270209, 42557321]$ |
\(y^2+xy=x^3+270209x+42557321\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(-14912/11, 3700007/11)]$ |
159120.h4 |
159120bf1 |
159120.h |
159120bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1.338475287$ |
$1$ |
|
$7$ |
$1622016$ |
$2.026508$ |
$90391899763439/84690294000$ |
$[0, 0, 0, 134637, 14960338]$ |
\(y^2=x^3+134637x+14960338\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$ |
$[(-7, 3744)]$ |
212160.h4 |
212160df1 |
212160.h |
212160df |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{22} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1622016$ |
$1.823774$ |
$90391899763439/84690294000$ |
$[0, -1, 0, 59839, -4452639]$ |
\(y^2=x^3-x^2+59839x-4452639\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[]$ |
212160.fo4 |
212160fz1 |
212160.fo |
212160fz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{22} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1622016$ |
$1.823774$ |
$90391899763439/84690294000$ |
$[0, 1, 0, 59839, 4452639]$ |
\(y^2=x^3+x^2+59839x+4452639\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[]$ |
258570.eh4 |
258570eh1 |
258570.eh |
258570eh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11354112$ |
$2.615833$ |
$90391899763439/84690294000$ |
$[1, -1, 1, 1422103, -513915879]$ |
\(y^2+xy+y=x^3-x^2+1422103x-513915879\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 136.12.0.?, $\ldots$ |
$[]$ |
265200.dk4 |
265200dk1 |
265200.dk |
265200dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{9} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$6.780694511$ |
$1$ |
|
$1$ |
$4866048$ |
$2.281921$ |
$90391899763439/84690294000$ |
$[0, -1, 0, 373992, -69385488]$ |
\(y^2=x^3-x^2+373992x-69385488\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$ |
$[(25169/8, 6022471/8)]$ |
324870.fo4 |
324870fo1 |
324870.fo |
324870fo |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$9.658118958$ |
$1$ |
|
$1$ |
$2433024$ |
$1.757010$ |
$90391899763439/84690294000$ |
$[1, 0, 0, 45814, -2965740]$ |
\(y^2+xy=x^3+45814x-2965740\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(325081/24, 192932665/24)]$ |
338130.bd4 |
338130bd1 |
338130.bd |
338130bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 13^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1.564748098$ |
$1$ |
|
$7$ |
$19464192$ |
$2.749966$ |
$90391899763439/84690294000$ |
$[1, -1, 0, 2431881, -1149047667]$ |
\(y^2+xy=x^3-x^2+2431881x-1149047667\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 30.6.0.a.1, 40.12.0-4.c.1.6, $\ldots$ |
$[(642, 25689)]$ |
430950.it4 |
430950it1 |
430950.it |
430950it |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{9} \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$13.59413273$ |
$1$ |
|
$1$ |
$34062336$ |
$2.871246$ |
$90391899763439/84690294000$ |
$[1, 0, 0, 3950287, 2377923417]$ |
\(y^2+xy=x^3+3950287x+2377923417\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 136.12.0.?, $\ldots$ |
$[(174373612/279, 3231121479751/279)]$ |