| 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.be6 |
4830bc2 |
4830.be |
4830bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$331776$ |
$2.859852$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.77864$ |
$[1, 0, 0, -4393456, -140558080]$ |
\(y^2+xy=x^3-4393456x-140558080\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[]$ |
| 14490.z6 |
14490bb2 |
14490.z |
14490bb |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$3864$ |
$384$ |
$5$ |
$2.423617308$ |
$1$ |
|
$8$ |
$2654208$ |
$3.409157$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.68936$ |
$[1, -1, 0, -39541104, 3795068160]$ |
\(y^2+xy=x^3-x^2-39541104x+3795068160\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 56.12.0.a.1, $\ldots$ |
$[(-2109, 279987)]$ |
| 24150.e6 |
24150d2 |
24150.e |
24150d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{10} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$7962624$ |
$3.664570$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.65446$ |
$[1, 1, 0, -109836400, -17569760000]$ |
\(y^2+xy=x^3+x^2-109836400x-17569760000\) |
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.1, $\ldots$ |
$[]$ |
| 33810.ck6 |
33810ci2 |
33810.ck |
33810ci |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{4} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$15925248$ |
$3.832806$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.63335$ |
$[1, 1, 1, -215279345, 47996142095]$ |
\(y^2+xy+y=x^3+x^2-215279345x+47996142095\) |
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.k6 |
38640bi2 |
38640.k |
38640bi |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$20.69349915$ |
$1$ |
|
$3$ |
$7962624$ |
$3.552998$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.23158$ |
$[0, -1, 0, -70295296, 8995717120]$ |
\(y^2=x^3-x^2-70295296x+8995717120\) |
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.1.2, $\ldots$ |
$[(-60764086494/4153, 33050988965940946/4153)]$ |
| 72450.cy6 |
72450df2 |
72450.cy |
72450df |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{10} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$4.412758657$ |
$1$ |
|
$8$ |
$63700992$ |
$4.213875$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.59021$ |
$[1, -1, 1, -988527605, 473394992397]$ |
\(y^2+xy+y=x^3-x^2-988527605x+473394992397\) |
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.1, $\ldots$ |
$[(31349, 524550)]$ |
| 101430.s6 |
101430bi2 |
101430.s |
101430bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{4} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$127401984$ |
$4.382111$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.57299$ |
$[1, -1, 0, -1937514105, -1297833350675]$ |
\(y^2+xy=x^3-x^2-1937514105x-1297833350675\) |
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.1.2, $\ldots$ |
$[]$ |
| 111090.dg6 |
111090de2 |
111090.dg |
111090de |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1.397163515$ |
$1$ |
|
$12$ |
$175177728$ |
$4.427597$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.56850$ |
$[1, 0, 0, -2324138235, 1705521882897]$ |
\(y^2+xy=x^3-2324138235x+1705521882897\) |
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, $\ldots$ |
$[(-2946, 2921553)]$ |
| 115920.dg6 |
115920dy2 |
115920.dg |
115920dy |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{30} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$3$ |
$63700992$ |
$4.102303$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.20976$ |
$[0, 0, 0, -632657667, -242251704574]$ |
\(y^2=x^3-632657667x-242251704574\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.7, 24.96.0-24.o.1.27, $\ldots$ |
$[]$ |
| 154560.dr6 |
154560gi2 |
154560.dr |
154560gi |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{36} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$7.379695959$ |
$1$ |
|
$3$ |
$63700992$ |
$3.899574$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$5.85664$ |
$[0, -1, 0, -281181185, -71684555775]$ |
\(y^2=x^3-x^2-281181185x-71684555775\) |
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, $\ldots$ |
$[(-136457/3, 22684256/3)]$ |
| 154560.gq6 |
154560t2 |
154560.gq |
154560t |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{36} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$4.786012187$ |
$1$ |
|
$7$ |
$63700992$ |
$3.899574$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$5.85664$ |
$[0, 1, 0, -281181185, 71684555775]$ |
\(y^2=x^3+x^2-281181185x+71684555775\) |
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, $\ldots$ |
$[(-13790, 1151955)]$ |
| 169050.dj6 |
169050gi2 |
169050.dj |
169050gi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{10} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$382205952$ |
$4.637527$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.54867$ |
$[1, 0, 1, -5381983626, 6010281729148]$ |
\(y^2+xy+y=x^3-5381983626x+6010281729148\) |
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.1, $\ldots$ |
$[]$ |
| 193200.gn6 |
193200bf2 |
193200.gn |
193200bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{10} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$19320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$191102976$ |
$4.357719$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.20096$ |
$[0, 1, 0, -1757382408, 1120949875188]$ |
\(y^2=x^3+x^2-1757382408x+1120949875188\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.1, 40.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 270480.ig6 |
270480ig2 |
270480.ig |
270480ig |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{4} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$382205952$ |
$4.525955$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.19555$ |
$[0, 1, 0, -3444469520, -3078642033132]$ |
\(y^2=x^3+x^2-3444469520x-3078642033132\) |
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.q6 |
333270q2 |
333270.q |
333270q |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$46.81151857$ |
$1$ |
|
$2$ |
$1401421824$ |
$4.976906$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$6.51939$ |
$[1, -1, 0, -20917244115, -46049090838219]$ |
\(y^2+xy=x^3-x^2-20917244115x-46049090838219\) |
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.1.21, $\ldots$ |
$[(-2425093801264500664625/395901789, 1027421125809558441383341741028279/395901789)]$ |
| 463680.bn6 |
463680bn2 |
463680.bn |
463680bn |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{36} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$31.50991277$ |
$1$ |
|
$3$ |
$509607936$ |
$4.448875$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$5.86871$ |
$[0, 0, 0, -2530630668, -1938013636592]$ |
\(y^2=x^3-2530630668x-1938013636592\) |
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.1.26, $\ldots$ |
$[(-328116009391776/81283, 601371735684734841052/81283)]$ |
| 463680.fh6 |
463680fh2 |
463680.fh |
463680fh |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{36} \cdot 3^{18} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3864$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$509607936$ |
$4.448875$ |
$9378698233516887309850369/5418996968417034240000$ |
$1.08146$ |
$5.86871$ |
$[0, 0, 0, -2530630668, 1938013636592]$ |
\(y^2=x^3-2530630668x+1938013636592\) |
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.1.30, $\ldots$ |
$[]$ |
