| 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 |
| 4830.be2 |
4830bc6 |
4830.be |
4830bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$3864$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$995328$ |
$3.409157$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$8.20724$ |
$[1, 0, 0, -249518896, -1517075593024]$ |
\(y^2+xy=x^3-249518896x-1517075593024\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 24.96.0-24.o.2.31, $\ldots$ |
$[]$ |
| 14490.z2 |
14490bb6 |
14490.z |
14490bb |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3864$ |
$384$ |
$5$ |
$7.270851926$ |
$1$ |
|
$10$ |
$7962624$ |
$3.958466$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.95415$ |
$[1, -1, 0, -2245670064, 40961041011648]$ |
\(y^2+xy=x^3-x^2-2245670064x+40961041011648\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 24.96.0-24.o.2.27, 56.12.0.a.1, $\ldots$ |
$[(-130557/2, 71454477/2)]$ |
| 24150.e2 |
24150d6 |
24150.e |
24150d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{18} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$23887872$ |
$4.213875$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.85524$ |
$[1, 1, 0, -6237972400, -189634449128000]$ |
\(y^2+xy=x^3+x^2-6237972400x-189634449128000\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 33810.ck2 |
33810ci6 |
33810.ck |
33810ci |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$47775744$ |
$4.382111$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.79538$ |
$[1, 1, 1, -12226425905, 520344701981327]$ |
\(y^2+xy+y=x^3+x^2-12226425905x+520344701981327\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 38640.k2 |
38640bi6 |
38640.k |
38640bi |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$6.897833053$ |
$1$ |
|
$5$ |
$23887872$ |
$4.102303$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.37892$ |
$[0, -1, 0, -3992302336, 97092837953536]$ |
\(y^2=x^3-x^2-3992302336x+97092837953536\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0-6.a.1.7, $\ldots$ |
$[(-26430, 13570046)]$ |
| 72450.cy2 |
72450df6 |
72450.cy |
72450df |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{18} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$13.23827597$ |
$1$ |
|
$2$ |
$191102976$ |
$4.763184$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.67310$ |
$[1, -1, 1, -56141751605, 5120073984704397]$ |
\(y^2+xy+y=x^3-x^2-56141751605x+5120073984704397\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.2, $\ldots$ |
$[(384985901/53, -1860101490/53)]$ |
| 101430.s2 |
101430bi6 |
101430.s |
101430bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$382205952$ |
$4.931419$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.62427$ |
$[1, -1, 0, -110037833145, -14049416991328979]$ |
\(y^2+xy=x^3-x^2-110037833145x-14049416991328979\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 111090.dg2 |
111090de6 |
111090.dg |
111090de |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$4.191490546$ |
$1$ |
|
$6$ |
$525533184$ |
$4.976906$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.61155$ |
$[1, 0, 0, -131995495995, 18457994749331025]$ |
\(y^2+xy=x^3-131995495995x+18457994749331025\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(211140, 952305)]$ |
| 115920.dg2 |
115920dy6 |
115920.dg |
115920dy |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$3$ |
$191102976$ |
$4.651611$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.24901$ |
$[0, 0, 0, -35930721027, -2621470694024446]$ |
\(y^2=x^3-35930721027x-2621470694024446\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 24.96.0-24.o.2.19, $\ldots$ |
$[]$ |
| 154560.dr2 |
154560gi6 |
154560.dr |
154560gi |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$22.13908787$ |
$1$ |
|
$3$ |
$191102976$ |
$4.448875$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$6.87086$ |
$[0, -1, 0, -15969209345, -776726734418943]$ |
\(y^2=x^3-x^2-15969209345x-776726734418943\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(233089089857/799, 104616928173920256/799)]$ |
| 154560.gq2 |
154560t6 |
154560.gq |
154560t |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1.595337395$ |
$1$ |
|
$9$ |
$191102976$ |
$4.448875$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$6.87086$ |
$[0, 1, 0, -15969209345, 776726734418943]$ |
\(y^2=x^3+x^2-15969209345x+776726734418943\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(76261, 1555260)]$ |
| 169050.dj2 |
169050gi6 |
169050.dj |
169050gi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{18} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1146617856$ |
$5.186829$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.55534$ |
$[1, 0, 1, -305660647626, 65043699068961148]$ |
\(y^2+xy+y=x^3-305660647626x+65043699068961148\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 193200.gn2 |
193200bf6 |
193200.gn |
193200bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{18} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$3$ |
$573308928$ |
$4.907028$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.19659$ |
$[0, 1, 0, -99807558408, 12136405129075188]$ |
\(y^2=x^3+x^2-99807558408x+12136405129075188\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.2, 40.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 270480.ig2 |
270480ig6 |
270480.ig |
270480ig |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{12} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$1146617856$ |
$5.075264$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.16440$ |
$[0, 1, 0, -195622814480, -33302452172433900]$ |
\(y^2=x^3+x^2-195622814480x-33302452172433900\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 333270.q2 |
333270q6 |
333270.q |
333270q |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$140.4345557$ |
$1$ |
|
$2$ |
$4204265472$ |
$5.526215$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$7.47233$ |
$[1, -1, 0, -1187959463955, -498365858231937675]$ |
\(y^2+xy=x^3-x^2-1187959463955x-498365858231937675\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.13, $\ldots$ |
$[(5323110315444412418897844067589584231813131117780207003639655614/25143910434145545112209995875, 384874009379510126112111105967345510491679983268331165964467302310656103890189864365957929044263/25143910434145545112209995875)]$ |
| 463680.bn2 |
463680bn6 |
463680.bn |
463680bn |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$94.52973831$ |
$1$ |
|
$3$ |
$1528823808$ |
$4.998184$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$6.79753$ |
$[0, 0, 0, -143722884108, -20971765552195568]$ |
\(y^2=x^3-143722884108x-20971765552195568\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.18, $\ldots$ |
$[(22788912315051803733923543415909365170165154/1086642273780967465, 108767953844707145926450355181379633706265230031847823501702174208/1086642273780967465)]$ |
| 463680.fh2 |
463680fh6 |
463680.fh |
463680fh |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$1528823808$ |
$4.998184$ |
$1718043013877225552292911401729/9180538178765625000000$ |
$1.04693$ |
$6.79753$ |
$[0, 0, 0, -143722884108, 20971765552195568]$ |
\(y^2=x^3-143722884108x+20971765552195568\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.26, $\ldots$ |
$[]$ |
