| 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 |
| 5304.b1 |
5304k4 |
5304.b |
5304k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 13 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$3.968460214$ |
$1$ |
|
$11$ |
$6144$ |
$0.792874$ |
$305612563186948/663$ |
$0.94496$ |
$4.69727$ |
$[0, -1, 0, -14144, 652188]$ |
\(y^2=x^3-x^2-14144x+652188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(78, 132), (73, 58)]$ |
| 10608.r1 |
10608l3 |
10608.r |
10608l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$12288$ |
$0.792874$ |
$305612563186948/663$ |
$0.94496$ |
$4.34602$ |
$[0, 1, 0, -14144, -652188]$ |
\(y^2=x^3+x^2-14144x-652188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 15912.n1 |
15912h3 |
15912.n |
15912h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$10.32957099$ |
$1$ |
|
$1$ |
$49152$ |
$1.342180$ |
$305612563186948/663$ |
$0.94496$ |
$4.84520$ |
$[0, 0, 0, -127299, -17481778]$ |
\(y^2=x^3-127299x-17481778\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(29801/2, 5138525/2)]$ |
| 31824.bi1 |
31824n4 |
31824.bi |
31824n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$6.862340672$ |
$1$ |
|
$1$ |
$98304$ |
$1.342180$ |
$305612563186948/663$ |
$0.94496$ |
$4.52128$ |
$[0, 0, 0, -127299, 17481778]$ |
\(y^2=x^3-127299x+17481778\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(6914/5, 231462/5)]$ |
| 42432.bd1 |
42432bn4 |
42432.bd |
42432bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5304$ |
$48$ |
$0$ |
$10.62640017$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.139448$ |
$305612563186948/663$ |
$0.94496$ |
$4.17090$ |
$[0, -1, 0, -56577, -5160927]$ |
\(y^2=x^3-x^2-56577x-5160927\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, $\ldots$ |
$[(27509/10, 130123/10)]$ |
| 42432.cd1 |
42432t4 |
42432.cd |
42432t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5304$ |
$48$ |
$0$ |
$5.798523740$ |
$1$ |
|
$1$ |
$98304$ |
$1.139448$ |
$305612563186948/663$ |
$0.94496$ |
$4.17090$ |
$[0, 1, 0, -56577, 5160927]$ |
\(y^2=x^3+x^2-56577x+5160927\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, $\ldots$ |
$[(1633/3, 25640/3)]$ |
| 68952.q1 |
68952h4 |
68952.q |
68952h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 13^{7} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$1032192$ |
$2.075348$ |
$305612563186948/663$ |
$0.94496$ |
$4.99719$ |
$[0, -1, 0, -2390392, 1423295548]$ |
\(y^2=x^3-x^2-2390392x+1423295548\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 408.24.0.?, 2652.24.0.?, $\ldots$ |
$[]$ |
| 90168.be1 |
90168be4 |
90168.be |
90168be |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1769472$ |
$2.209480$ |
$305612563186948/663$ |
$0.94496$ |
$5.02077$ |
$[0, 1, 0, -4087712, 3179673552]$ |
\(y^2=x^3+x^2-4087712x+3179673552\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 127296.l1 |
127296j4 |
127296.l |
127296j |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$786432$ |
$1.688753$ |
$305612563186948/663$ |
$0.94496$ |
$4.34186$ |
$[0, 0, 0, -509196, -139854224]$ |
\(y^2=x^3-509196x-139854224\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 127296.bk1 |
127296ci4 |
127296.bk |
127296ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$4.691461269$ |
$1$ |
|
$3$ |
$786432$ |
$1.688753$ |
$305612563186948/663$ |
$0.94496$ |
$4.34186$ |
$[0, 0, 0, -509196, 139854224]$ |
\(y^2=x^3-509196x+139854224\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(461, 1757)]$ |
| 132600.ck1 |
132600bw3 |
132600.ck |
132600bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$786432$ |
$1.597593$ |
$305612563186948/663$ |
$0.94496$ |
$4.23409$ |
$[0, 1, 0, -353608, 80816288]$ |
\(y^2=x^3+x^2-353608x+80816288\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 137904.ct1 |
137904cq4 |
137904.ct |
137904cq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$7.981046440$ |
$4$ |
$2$ |
$1$ |
$2064384$ |
$2.075348$ |
$305612563186948/663$ |
$0.94496$ |
$4.70450$ |
$[0, 1, 0, -2390392, -1423295548]$ |
\(y^2=x^3+x^2-2390392x-1423295548\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, 2652.24.0.?, $\ldots$ |
$[(34453/2, 6284265/2)]$ |
| 180336.bd1 |
180336da4 |
180336.bd |
180336da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3538944$ |
$2.209480$ |
$305612563186948/663$ |
$0.94496$ |
$4.73321$ |
$[0, -1, 0, -4087712, -3179673552]$ |
\(y^2=x^3-x^2-4087712x-3179673552\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 206856.l1 |
206856g4 |
206856.l |
206856g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$13.35219934$ |
$1$ |
|
$1$ |
$8257536$ |
$2.624653$ |
$305612563186948/663$ |
$0.94496$ |
$5.08720$ |
$[0, 0, 0, -21513531, -38407466266]$ |
\(y^2=x^3-21513531x-38407466266\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(6998602/21, 17613021140/21)]$ |
| 259896.cm1 |
259896cm4 |
259896.cm |
259896cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1769472$ |
$1.765829$ |
$305612563186948/663$ |
$0.94496$ |
$4.16748$ |
$[0, 1, 0, -693072, -222314352]$ |
\(y^2=x^3+x^2-693072x-222314352\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 104.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
| 265200.h1 |
265200h4 |
265200.h |
265200h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$5.768313410$ |
$4$ |
$2$ |
$3$ |
$1572864$ |
$1.597593$ |
$305612563186948/663$ |
$0.94496$ |
$3.99908$ |
$[0, -1, 0, -353608, -80816288]$ |
\(y^2=x^3-x^2-353608x-80816288\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(1257, 38200)]$ |
| 270504.n1 |
270504n4 |
270504.n |
270504n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$23.85661491$ |
$1$ |
|
$1$ |
$14155776$ |
$2.758785$ |
$305612563186948/663$ |
$0.94496$ |
$5.10678$ |
$[0, 0, 0, -36789411, -85887975314]$ |
\(y^2=x^3-36789411x-85887975314\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, 2652.24.0.?, $\ldots$ |
$[(22373479353/406, 3343172297272555/406)]$ |
| 397800.ef1 |
397800ef4 |
397800.ef |
397800ef |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$6291456$ |
$2.146900$ |
$305612563186948/663$ |
$0.94496$ |
$4.38455$ |
$[0, 0, 0, -3182475, -2185222250]$ |
\(y^2=x^3-3182475x-2185222250\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
| 413712.v1 |
413712v3 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$9.926096327$ |
$1$ |
|
$9$ |
$16515072$ |
$2.624653$ |
$305612563186948/663$ |
$0.94496$ |
$4.81455$ |
$[0, 0, 0, -21513531, 38407466266]$ |
\(y^2=x^3-21513531x+38407466266\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(3731, 100386), (6435, 407966)]$ |
