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 |
2442.h2 |
2442i3 |
2442.h |
2442i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4884$ |
$96$ |
$1$ |
$2.715742961$ |
$1$ |
|
$3$ |
$10368$ |
$1.411180$ |
$34069730739753390625/1354703543952$ |
$[1, 0, 0, -67538, -6761100]$ |
\(y^2+xy=x^3-67538x-6761100\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 148.6.0.?, $\ldots$ |
$[(-150, 90)]$ |
7326.a2 |
7326c3 |
7326.a |
7326c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{7} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4884$ |
$96$ |
$1$ |
$8.221113649$ |
$1$ |
|
$5$ |
$82944$ |
$1.960485$ |
$34069730739753390625/1354703543952$ |
$[1, -1, 0, -607842, 182549700]$ |
\(y^2+xy=x^3-x^2-607842x+182549700\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 148.6.0.?, $\ldots$ |
$[(20416/7, 347390/7)]$ |
19536.i2 |
19536t3 |
19536.i |
19536t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3 \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$1.886895083$ |
$1$ |
|
$3$ |
$248832$ |
$2.104328$ |
$34069730739753390625/1354703543952$ |
$[0, -1, 0, -1080608, 432710400]$ |
\(y^2=x^3-x^2-1080608x+432710400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$ |
$[(613, 518)]$ |
26862.h2 |
26862i3 |
26862.h |
26862i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 11^{7} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1244160$ |
$2.610126$ |
$34069730739753390625/1354703543952$ |
$[1, 0, 1, -8172101, 8990852000]$ |
\(y^2+xy+y=x^3-8172101x+8990852000\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 33.8.0-3.a.1.1, 66.48.0-66.b.1.2, $\ldots$ |
$[]$ |
58608.bd2 |
58608bo3 |
58608.bd |
58608bo |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$3.641808733$ |
$1$ |
|
$3$ |
$1990656$ |
$2.653633$ |
$34069730739753390625/1354703543952$ |
$[0, 0, 0, -9725475, -11673455326]$ |
\(y^2=x^3-9725475x-11673455326\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[(-1807, 416)]$ |
61050.u2 |
61050i3 |
61050.u |
61050i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24420$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1492992$ |
$2.215900$ |
$34069730739753390625/1354703543952$ |
$[1, 1, 0, -1688450, -845137500]$ |
\(y^2+xy=x^3+x^2-1688450x-845137500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |
78144.s2 |
78144d3 |
78144.s |
78144d |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9768$ |
$96$ |
$1$ |
$15.52474800$ |
$1$ |
|
$1$ |
$1990656$ |
$2.450901$ |
$34069730739753390625/1354703543952$ |
$[0, -1, 0, -4322433, -3457360767]$ |
\(y^2=x^3-x^2-4322433x-3457360767\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[(-65395009/233, 2641747576/233)]$ |
78144.ct2 |
78144cy3 |
78144.ct |
78144cy |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9768$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1990656$ |
$2.450901$ |
$34069730739753390625/1354703543952$ |
$[0, 1, 0, -4322433, 3457360767]$ |
\(y^2=x^3+x^2-4322433x+3457360767\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 66.24.0.b.1, $\ldots$ |
$[]$ |
80586.bc2 |
80586bg3 |
80586.bc |
80586bg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{7} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$10.14234755$ |
$1$ |
|
$1$ |
$9953280$ |
$3.159435$ |
$34069730739753390625/1354703543952$ |
$[1, -1, 1, -73548905, -242753004007]$ |
\(y^2+xy+y=x^3-x^2-73548905x-242753004007\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 33.8.0-3.a.1.2, 66.48.0-66.b.1.1, $\ldots$ |
$[(-8288979/41, 65135432/41)]$ |
90354.g2 |
90354j3 |
90354.g |
90354j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$6.792484225$ |
$9$ |
$3$ |
$3$ |
$14183424$ |
$3.216640$ |
$34069730739753390625/1354703543952$ |
$[1, 0, 1, -92459551, -342192619678]$ |
\(y^2+xy+y=x^3-92459551x-342192619678\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 66.24.0.b.1, $\ldots$ |
$[(27420, 4198018)]$ |
119658.ci2 |
119658co3 |
119658.ci |
119658co |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34188$ |
$96$ |
$1$ |
$2.720049784$ |
$1$ |
|
$3$ |
$2985984$ |
$2.384136$ |
$34069730739753390625/1354703543952$ |
$[1, 1, 1, -3309363, 2315747937]$ |
\(y^2+xy+y=x^3+x^2-3309363x+2315747937\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(1035, 266)]$ |
183150.fk2 |
183150by3 |
183150.fk |
183150by |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24420$ |
$96$ |
$1$ |
$4.409552788$ |
$1$ |
|
$1$ |
$11943936$ |
$2.765205$ |
$34069730739753390625/1354703543952$ |
$[1, -1, 1, -15196055, 22803516447]$ |
\(y^2+xy+y=x^3-x^2-15196055x+22803516447\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(9071/2, -525/2)]$ |
214896.o2 |
214896z3 |
214896.o |
214896z |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{16} \cdot 3 \cdot 11^{7} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$29859840$ |
$3.303276$ |
$34069730739753390625/1354703543952$ |
$[0, -1, 0, -130753608, -575414528016]$ |
\(y^2=x^3-x^2-130753608x-575414528016\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 66.24.0.b.1, $\ldots$ |
$[]$ |
234432.bv2 |
234432bv3 |
234432.bv |
234432bv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{22} \cdot 3^{7} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9768$ |
$96$ |
$1$ |
$5.112096509$ |
$1$ |
|
$3$ |
$15925248$ |
$3.000206$ |
$34069730739753390625/1354703543952$ |
$[0, 0, 0, -38901900, 93387642608]$ |
\(y^2=x^3-38901900x+93387642608\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 66.24.0.b.1, $\ldots$ |
$[(11998, 1163520)]$ |
234432.cy2 |
234432cy3 |
234432.cy |
234432cy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{22} \cdot 3^{7} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9768$ |
$96$ |
$1$ |
$42.77976951$ |
$1$ |
|
$1$ |
$15925248$ |
$3.000206$ |
$34069730739753390625/1354703543952$ |
$[0, 0, 0, -38901900, -93387642608]$ |
\(y^2=x^3-38901900x-93387642608\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 66.24.0.b.1, $\ldots$ |
$[(-133969920109207918528/193177769, 9927832480202616879631303260/193177769)]$ |
271062.x2 |
271062x3 |
271062.x |
271062x |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 11 \cdot 37^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4884$ |
$96$ |
$1$ |
$12.54476351$ |
$1$ |
|
$1$ |
$113467392$ |
$3.765945$ |
$34069730739753390625/1354703543952$ |
$[1, -1, 1, -832135955, 9239200731299]$ |
\(y^2+xy+y=x^3-x^2-832135955x+9239200731299\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 66.24.0.b.1, $\ldots$ |
$[(36897669/28, 188726773873/28)]$ |
358974.bi2 |
358974bi3 |
358974.bi |
358974bi |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 11 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34188$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.933441$ |
$34069730739753390625/1354703543952$ |
$[1, -1, 0, -29784267, -62554978571]$ |
\(y^2+xy=x^3-x^2-29784267x-62554978571\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[]$ |
412698.bg2 |
412698bg3 |
412698.bg |
412698bg |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$63492$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$22394880$ |
$2.693653$ |
$34069730739753390625/1354703543952$ |
$[1, 0, 1, -11413926, -14842722776]$ |
\(y^2+xy+y=x^3-11413926x-14842722776\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 66.24.0.b.1, $\ldots$ |
$[]$ |
488400.ej2 |
488400ej3 |
488400.ej |
488400ej |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24420$ |
$96$ |
$1$ |
$12.10751627$ |
$1$ |
|
$1$ |
$35831808$ |
$2.909046$ |
$34069730739753390625/1354703543952$ |
$[0, 1, 0, -27015208, 54034769588]$ |
\(y^2=x^3+x^2-27015208x+54034769588\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 66.24.0.b.1, $\ldots$ |
$[(2356846/23, 1809967488/23)]$ |