| 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 |
| 1850.a1 |
1850g1 |
1850.a |
1850g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{4} \cdot 37^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$444$ |
$16$ |
$0$ |
$0.677837982$ |
$1$ |
|
$8$ |
$1800$ |
$0.704188$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.23361$ |
$[1, 0, 1, -476, 9498]$ |
\(y^2+xy+y=x^3-476x+9498\) |
3.8.0-3.a.1.2, 148.2.0.?, 444.16.0.? |
$[(17, 71)]$ |
| 1850.p1 |
1850i1 |
1850.p |
1850i |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{10} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9000$ |
$1.508907$ |
$-19026212425/51868672$ |
$0.95767$ |
$5.51723$ |
$[1, 1, 1, -11888, 1187281]$ |
\(y^2+xy+y=x^3+x^2-11888x+1187281\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 148.2.0.?, 444.8.0.?, 2220.16.0.? |
$[]$ |
| 14800.d1 |
14800s1 |
14800.d |
14800s |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 37 \) |
\( - 2^{22} \cdot 5^{10} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$216000$ |
$2.202053$ |
$-19026212425/51868672$ |
$0.95767$ |
$5.18867$ |
$[0, 1, 0, -190208, -76366412]$ |
\(y^2=x^3+x^2-190208x-76366412\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 148.2.0.?, 444.8.0.?, 1110.8.0.?, $\ldots$ |
$[]$ |
| 14800.bi1 |
14800bj1 |
14800.bi |
14800bj |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 37 \) |
\( - 2^{22} \cdot 5^{4} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$1.397335$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.18302$ |
$[0, -1, 0, -7608, -607888]$ |
\(y^2=x^3-x^2-7608x-607888\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 148.2.0.?, 222.8.0.?, 444.16.0.? |
$[]$ |
| 16650.bl1 |
16650o1 |
16650.bl |
16650o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{10} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$216000$ |
$2.058212$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.94822$ |
$[1, -1, 0, -106992, -32163584]$ |
\(y^2+xy=x^3-x^2-106992x-32163584\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 148.2.0.?, 444.8.0.?, 2220.16.0.? |
$[]$ |
| 16650.bo1 |
16650cv1 |
16650.bo |
16650cv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$444$ |
$16$ |
$0$ |
$0.407186320$ |
$1$ |
|
$6$ |
$43200$ |
$1.253494$ |
$-19026212425/51868672$ |
$0.95767$ |
$3.95475$ |
$[1, -1, 1, -4280, -256453]$ |
\(y^2+xy+y=x^3-x^2-4280x-256453\) |
3.8.0-3.a.1.1, 148.2.0.?, 444.16.0.? |
$[(105, 613)]$ |
| 59200.y1 |
59200dr1 |
59200.y |
59200dr |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 37 \) |
\( - 2^{28} \cdot 5^{4} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$888$ |
$16$ |
$0$ |
$7.071258886$ |
$1$ |
|
$0$ |
$345600$ |
$1.743910$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.03377$ |
$[0, 1, 0, -30433, -4893537]$ |
\(y^2=x^3+x^2-30433x-4893537\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 148.2.0.?, 444.8.0.?, 888.16.0.? |
$[(47303/7, 10095616/7)]$ |
| 59200.z1 |
59200bi1 |
59200.z |
59200bi |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 37 \) |
\( - 2^{28} \cdot 5^{10} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728000$ |
$2.548630$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.91255$ |
$[0, 1, 0, -760833, 610170463]$ |
\(y^2=x^3+x^2-760833x+610170463\) |
3.4.0.a.1, 120.8.0.?, 148.2.0.?, 444.8.0.?, 4440.16.0.? |
$[]$ |
| 59200.da1 |
59200bo1 |
59200.da |
59200bo |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 37 \) |
\( - 2^{28} \cdot 5^{4} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.743910$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.03377$ |
$[0, -1, 0, -30433, 4893537]$ |
\(y^2=x^3-x^2-30433x+4893537\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 148.2.0.?, 444.8.0.?, 888.16.0.? |
$[]$ |
| 59200.db1 |
59200dd1 |
59200.db |
59200dd |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 37 \) |
\( - 2^{28} \cdot 5^{10} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$8.775284179$ |
$1$ |
|
$0$ |
$1728000$ |
$2.548630$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.91255$ |
$[0, -1, 0, -760833, -610170463]$ |
\(y^2=x^3-x^2-760833x-610170463\) |
3.4.0.a.1, 120.8.0.?, 148.2.0.?, 444.8.0.?, 4440.16.0.? |
$[(2930597/23, 4944724992/23)]$ |
| 68450.u1 |
68450f1 |
68450.u |
68450f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37^{2} \) |
\( - 2^{10} \cdot 5^{10} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$26.80614766$ |
$1$ |
|
$0$ |
$12312000$ |
$3.314365$ |
$-19026212425/51868672$ |
$0.95767$ |
$5.67380$ |
$[1, 1, 0, -16274700, 60383474000]$ |
\(y^2+xy=x^3+x^2-16274700x+60383474000\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 148.2.0.?, 444.8.0.?, 555.8.0.?, $\ldots$ |
$[(-31938029158184/114087, 436153647658894596380/114087)]$ |
| 68450.y1 |
68450bn1 |
68450.y |
68450bn |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$444$ |
$16$ |
$0$ |
$0.586743260$ |
$1$ |
|
$4$ |
$2462400$ |
$2.509647$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.80648$ |
$[1, 0, 0, -650988, 483067792]$ |
\(y^2+xy=x^3-650988x+483067792\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 111.8.0.?, 148.2.0.?, 444.16.0.? |
$[(1446, 49930)]$ |
| 90650.bj1 |
90650bn1 |
90650.bj |
90650bn |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{6} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3108$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.677143$ |
$-19026212425/51868672$ |
$0.95767$ |
$3.81302$ |
$[1, 1, 0, -23300, -3281200]$ |
\(y^2+xy=x^3+x^2-23300x-3281200\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 148.2.0.?, 444.8.0.?, 3108.16.0.? |
$[]$ |
| 90650.bt1 |
90650cg1 |
90650.bt |
90650cg |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{10} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15540$ |
$16$ |
$0$ |
$4.262458014$ |
$1$ |
|
$2$ |
$2592000$ |
$2.481861$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.65899$ |
$[1, 0, 0, -582513, -408984983]$ |
\(y^2+xy=x^3-582513x-408984983\) |
3.4.0.a.1, 105.8.0.?, 148.2.0.?, 444.8.0.?, 15540.16.0.? |
$[(1586, 50755)]$ |
| 133200.k1 |
133200bq1 |
133200.k |
133200bq |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{10} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$8.140497205$ |
$1$ |
|
$0$ |
$5184000$ |
$2.751362$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.78111$ |
$[0, 0, 0, -1711875, 2060181250]$ |
\(y^2=x^3-1711875x+2060181250\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 148.2.0.?, 444.8.0.?, 1110.8.0.?, $\ldots$ |
$[(-6031/2, 278703/2)]$ |
| 133200.gq1 |
133200bh1 |
133200.gq |
133200bh |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{4} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$444$ |
$16$ |
$0$ |
$2.554136613$ |
$1$ |
|
$2$ |
$1036800$ |
$1.946642$ |
$-19026212425/51868672$ |
$0.95767$ |
$3.96273$ |
$[0, 0, 0, -68475, 16481450]$ |
\(y^2=x^3-68475x+16481450\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 148.2.0.?, 222.8.0.?, 444.16.0.? |
$[(-86, 4662)]$ |
| 223850.bk1 |
223850dl1 |
223850.bk |
223850dl |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{10} \cdot 11^{6} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960000$ |
$2.707855$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.53725$ |
$[1, 1, 0, -1438450, -1587463500]$ |
\(y^2+xy=x^3+x^2-1438450x-1587463500\) |
3.4.0.a.1, 148.2.0.?, 165.8.0.?, 444.8.0.?, 24420.16.0.? |
$[]$ |
| 223850.ci1 |
223850g1 |
223850.ci |
223850g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{4} \cdot 11^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4884$ |
$16$ |
$0$ |
$0.352822019$ |
$1$ |
|
$6$ |
$2592000$ |
$1.903135$ |
$-19026212425/51868672$ |
$0.95767$ |
$3.75335$ |
$[1, 0, 0, -57538, -12699708]$ |
\(y^2+xy=x^3-57538x-12699708\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 148.2.0.?, 444.8.0.?, 4884.16.0.? |
$[(2012, 88534)]$ |
| 312650.bd1 |
312650bd1 |
312650.bd |
312650bd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{10} \cdot 13^{6} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$28860$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736000$ |
$2.791382$ |
$-19026212425/51868672$ |
$0.95767$ |
$4.49666$ |
$[1, 1, 0, -2009075, 2618502125]$ |
\(y^2+xy=x^3+x^2-2009075x+2618502125\) |
3.4.0.a.1, 148.2.0.?, 195.8.0.?, 444.8.0.?, 28860.16.0.? |
$[]$ |
| 312650.bo1 |
312650bo1 |
312650.bo |
312650bo |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 37 \) |
\( - 2^{10} \cdot 5^{4} \cdot 13^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5772$ |
$16$ |
$0$ |
$1.924547028$ |
$1$ |
|
$2$ |
$4147200$ |
$1.986664$ |
$-19026212425/51868672$ |
$0.95767$ |
$3.73346$ |
$[1, 0, 0, -80363, 20948017]$ |
\(y^2+xy=x^3-80363x+20948017\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 148.2.0.?, 444.8.0.?, 5772.16.0.? |
$[(-194, 5505)]$ |
