| 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 |
| 10920.c3 |
10920j2 |
10920.c |
10920j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$10240$ |
$0.730601$ |
$423026849956/16769025$ |
$0.87441$ |
$3.62453$ |
$[0, -1, 0, -1576, -22724]$ |
\(y^2=x^3-x^2-1576x-22724\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.4, 260.12.0.?, $\ldots$ |
$[]$ |
| 21840.bo3 |
21840q2 |
21840.bo |
21840q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$0.604227534$ |
$1$ |
|
$17$ |
$20480$ |
$0.730601$ |
$423026849956/16769025$ |
$0.87441$ |
$3.37308$ |
$[0, 1, 0, -1576, 22724]$ |
\(y^2=x^3+x^2-1576x+22724\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.3, 260.12.0.?, $\ldots$ |
$[(32, 78)]$ |
| 32760.x3 |
32760q2 |
32760.x |
32760q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1.753350441$ |
$1$ |
|
$9$ |
$81920$ |
$1.279907$ |
$423026849956/16769025$ |
$0.87441$ |
$3.87554$ |
$[0, 0, 0, -14187, 627734]$ |
\(y^2=x^3-14187x+627734\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-2, 810)]$ |
| 54600.cr3 |
54600bb2 |
54600.cr |
54600bb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.535320$ |
$423026849956/16769025$ |
$0.87441$ |
$3.97503$ |
$[0, 1, 0, -39408, -2919312]$ |
\(y^2=x^3+x^2-39408x-2919312\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0.b.1, 140.12.0.?, $\ldots$ |
$[]$ |
| 65520.ee3 |
65520bm2 |
65520.ee |
65520bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$163840$ |
$1.279907$ |
$423026849956/16769025$ |
$0.87441$ |
$3.63331$ |
$[0, 0, 0, -14187, -627734]$ |
\(y^2=x^3-14187x-627734\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 76440.cz3 |
76440da2 |
76440.cz |
76440da |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$491520$ |
$1.703556$ |
$423026849956/16769025$ |
$0.87441$ |
$4.03563$ |
$[0, 1, 0, -77240, 7948800]$ |
\(y^2=x^3+x^2-77240x+7948800\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 520.24.0.?, 1820.24.0.?, $\ldots$ |
$[]$ |
| 87360.dr3 |
87360fq2 |
87360.dr |
87360fq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.069975290$ |
$1$ |
|
$9$ |
$163840$ |
$1.077175$ |
$423026849956/16769025$ |
$0.87441$ |
$3.32763$ |
$[0, -1, 0, -6305, 188097]$ |
\(y^2=x^3-x^2-6305x+188097\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 520.24.0.?, 1820.24.0.?, $\ldots$ |
$[(37, 64)]$ |
| 87360.ft3 |
87360dg2 |
87360.ft |
87360dg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$163840$ |
$1.077175$ |
$423026849956/16769025$ |
$0.87441$ |
$3.32763$ |
$[0, 1, 0, -6305, -188097]$ |
\(y^2=x^3+x^2-6305x-188097\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 520.24.0.?, 1820.24.0.?, $\ldots$ |
$[]$ |
| 109200.g3 |
109200l2 |
109200.g |
109200l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.177159278$ |
$1$ |
|
$33$ |
$491520$ |
$1.535320$ |
$423026849956/16769025$ |
$0.87441$ |
$3.73753$ |
$[0, -1, 0, -39408, 2919312]$ |
\(y^2=x^3-x^2-39408x+2919312\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0.b.1, 140.12.0.?, $\ldots$ |
$[(6, 1638), (357, 5850)]$ |
| 141960.bg3 |
141960bw2 |
141960.bg |
141960bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$7.650615040$ |
$1$ |
|
$3$ |
$1720320$ |
$2.013077$ |
$423026849956/16769025$ |
$0.87441$ |
$4.13813$ |
$[0, -1, 0, -266400, -50990148]$ |
\(y^2=x^3-x^2-266400x-50990148\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[(178569/4, 75373155/4)]$ |
| 152880.cs3 |
152880ha2 |
152880.cs |
152880ha |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$4.869320824$ |
$1$ |
|
$23$ |
$983040$ |
$1.703556$ |
$423026849956/16769025$ |
$0.87441$ |
$3.80130$ |
$[0, -1, 0, -77240, -7948800]$ |
\(y^2=x^3-x^2-77240x-7948800\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 520.24.0.?, 1820.24.0.?, $\ldots$ |
$[(502, 8918), (-180, 300)]$ |
| 163800.dg3 |
163800w2 |
163800.dg |
163800w |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$3.212472304$ |
$1$ |
|
$7$ |
$1966080$ |
$2.084625$ |
$423026849956/16769025$ |
$0.87441$ |
$4.16032$ |
$[0, 0, 0, -354675, 78466750]$ |
\(y^2=x^3-354675x+78466750\) |
2.6.0.a.1, 56.12.0.b.1, 120.12.0.?, 156.12.0.?, 420.12.0.?, $\ldots$ |
$[(-334, 12636)]$ |
| 229320.r3 |
229320ds2 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3932160$ |
$2.252861$ |
$423026849956/16769025$ |
$0.87441$ |
$4.21047$ |
$[0, 0, 0, -695163, -215312762]$ |
\(y^2=x^3-695163x-215312762\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 520.12.0.?, $\ldots$ |
$[]$ |
| 262080.cw3 |
262080cw2 |
262080.cw |
262080cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1.635606491$ |
$1$ |
|
$11$ |
$1310720$ |
$1.626480$ |
$423026849956/16769025$ |
$0.87441$ |
$3.56294$ |
$[0, 0, 0, -56748, 5021872]$ |
\(y^2=x^3-56748x+5021872\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 520.12.0.?, $\ldots$ |
$[(77, 1053)]$ |
| 262080.eb3 |
262080eb2 |
262080.eb |
262080eb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1.868682594$ |
$1$ |
|
$11$ |
$1310720$ |
$1.626480$ |
$423026849956/16769025$ |
$0.87441$ |
$3.56294$ |
$[0, 0, 0, -56748, -5021872]$ |
\(y^2=x^3-56748x-5021872\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 520.12.0.?, $\ldots$ |
$[(-142, 416)]$ |
| 283920.hh3 |
283920hh2 |
283920.hh |
283920hh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.179954688$ |
$1$ |
|
$9$ |
$3440640$ |
$2.013077$ |
$423026849956/16769025$ |
$0.87441$ |
$3.90969$ |
$[0, 1, 0, -266400, 50990148]$ |
\(y^2=x^3+x^2-266400x+50990148\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[(216, 1890)]$ |
| 327600.gd3 |
327600gd2 |
327600.gd |
327600gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$3.121566719$ |
$1$ |
|
$9$ |
$3932160$ |
$2.084625$ |
$423026849956/16769025$ |
$0.87441$ |
$3.93325$ |
$[0, 0, 0, -354675, -78466750]$ |
\(y^2=x^3-354675x-78466750\) |
2.6.0.a.1, 56.12.0.b.1, 120.12.0.?, 156.12.0.?, 420.12.0.?, $\ldots$ |
$[(-295, 700)]$ |
| 382200.el3 |
382200el2 |
382200.el |
382200el |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$11796480$ |
$2.508274$ |
$423026849956/16769025$ |
$0.87441$ |
$4.28159$ |
$[0, -1, 0, -1931008, 997462012]$ |
\(y^2=x^3-x^2-1931008x+997462012\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
| 425880.cn3 |
425880cn2 |
425880.cn |
425880cn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$13762560$ |
$2.562382$ |
$423026849956/16769025$ |
$0.87441$ |
$4.29594$ |
$[0, 0, 0, -2397603, 1379131598]$ |
\(y^2=x^3-2397603x+1379131598\) |
2.6.0.a.1, 56.12.0.b.1, 60.12.0-2.a.1.1, 312.12.0.?, 520.12.0.?, $\ldots$ |
$[]$ |
| 436800.ga3 |
436800ga2 |
436800.ga |
436800ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3932160$ |
$1.881893$ |
$423026849956/16769025$ |
$0.87441$ |
$3.65880$ |
$[0, -1, 0, -157633, -23196863]$ |
\(y^2=x^3-x^2-157633x-23196863\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
| 436800.nz3 |
436800nz2 |
436800.nz |
436800nz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1.643894678$ |
$1$ |
|
$11$ |
$3932160$ |
$1.881893$ |
$423026849956/16769025$ |
$0.87441$ |
$3.65880$ |
$[0, 1, 0, -157633, 23196863]$ |
\(y^2=x^3+x^2-157633x+23196863\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[(167, 1248)]$ |
| 458640.gn3 |
458640gn2 |
458640.gn |
458640gn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7864320$ |
$2.252861$ |
$423026849956/16769025$ |
$0.87441$ |
$3.98659$ |
$[0, 0, 0, -695163, 215312762]$ |
\(y^2=x^3-695163x+215312762\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 520.12.0.?, $\ldots$ |
$[]$ |
