| 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.d3 |
10920b1 |
10920.d |
10920b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.865885$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.86101$ |
$[0, -1, 0, -1614796, 790352116]$ |
\(y^2=x^3-x^2-1614796x+790352116\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[]$ |
| 21840.bk3 |
21840k1 |
21840.bk |
21840k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$172032$ |
$1.865885$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.45441$ |
$[0, 1, 0, -1614796, -790352116]$ |
\(y^2=x^3+x^2-1614796x-790352116\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[]$ |
| 32760.bo3 |
32760bm1 |
32760.bo |
32760bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$21.95550684$ |
$1$ |
|
$1$ |
$688128$ |
$2.415192$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.87570$ |
$[0, 0, 0, -14533167, -21324973966]$ |
\(y^2=x^3-14533167x-21324973966\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(27213836905/32, 4489362371030859/32)]$ |
| 54600.bt3 |
54600cd1 |
54600.bt |
54600cd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.670605$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.88152$ |
$[0, 1, 0, -40369908, 98713274688]$ |
\(y^2=x^3+x^2-40369908x+98713274688\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
| 65520.co3 |
65520bb1 |
65520.co |
65520bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$7.906527577$ |
$1$ |
|
$3$ |
$1376256$ |
$2.415192$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.50846$ |
$[0, 0, 0, -14533167, 21324973966]$ |
\(y^2=x^3-14533167x+21324973966\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(4410, 207364)]$ |
| 76440.cs3 |
76440bm1 |
76440.cs |
76440bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$15.38762397$ |
$1$ |
|
$1$ |
$4128768$ |
$2.838840$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.88507$ |
$[0, 1, 0, -79125020, -270932525760]$ |
\(y^2=x^3+x^2-79125020x-270932525760\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[(283111777/88, 4606892812977/88)]$ |
| 87360.cf3 |
87360fc1 |
87360.cf |
87360fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$2.212460$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.15536$ |
$[0, -1, 0, -6459185, -6316357743]$ |
\(y^2=x^3-x^2-6459185x-6316357743\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 104.24.0.?, $\ldots$ |
$[]$ |
| 87360.hb3 |
87360dp1 |
87360.hb |
87360dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1.467269880$ |
$1$ |
|
$3$ |
$1376256$ |
$2.212460$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.15536$ |
$[0, 1, 0, -6459185, 6316357743]$ |
\(y^2=x^3+x^2-6459185x+6316357743\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 104.24.0.?, $\ldots$ |
$[(1723, 17472)]$ |
| 109200.cr3 |
109200t1 |
109200.cr |
109200t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$4.415453950$ |
$1$ |
|
$3$ |
$4128768$ |
$2.670605$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.53010$ |
$[0, -1, 0, -40369908, -98713274688]$ |
\(y^2=x^3-x^2-40369908x-98713274688\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[(8432, 400400)]$ |
| 141960.y3 |
141960u1 |
141960.y |
141960u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{9} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$6.649649258$ |
$1$ |
|
$5$ |
$14450688$ |
$3.148361$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.89106$ |
$[0, -1, 0, -272900580, 1735311996612]$ |
\(y^2=x^3-x^2-272900580x+1735311996612\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[(4062, 832944)]$ |
| 152880.du3 |
152880hl1 |
152880.du |
152880hl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.838840$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.54335$ |
$[0, -1, 0, -79125020, 270932525760]$ |
\(y^2=x^3-x^2-79125020x+270932525760\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[]$ |
| 163800.bh3 |
163800eb1 |
163800.bh |
163800eb |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$17.76903999$ |
$1$ |
|
$1$ |
$16515072$ |
$3.219910$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.89236$ |
$[0, 0, 0, -363329175, -2665621745750]$ |
\(y^2=x^3-363329175x-2665621745750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(2382256555/213, 107187393570400/213)]$ |
| 229320.bp3 |
229320bl1 |
229320.bp |
229320bl |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1.209080087$ |
$1$ |
|
$3$ |
$33030144$ |
$3.388145$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.89530$ |
$[0, 0, 0, -712125183, 7314466070338]$ |
\(y^2=x^3-712125183x+7314466070338\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[(14273, 240786)]$ |
| 262080.cc3 |
262080cc1 |
262080.cc |
262080cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11010048$ |
$2.761765$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.22974$ |
$[0, 0, 0, -58132668, 170599791728]$ |
\(y^2=x^3-58132668x+170599791728\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 262080.fw3 |
262080fw1 |
262080.fw |
262080fw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11010048$ |
$2.761765$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.22974$ |
$[0, 0, 0, -58132668, -170599791728]$ |
\(y^2=x^3-58132668x-170599791728\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 283920.hz3 |
283920hz1 |
283920.hz |
283920hz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$28901376$ |
$3.148361$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.56586$ |
$[0, 1, 0, -272900580, -1735311996612]$ |
\(y^2=x^3+x^2-272900580x-1735311996612\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
| 327600.ku3 |
327600ku1 |
327600.ku |
327600ku |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$7.087963220$ |
$1$ |
|
$9$ |
$33030144$ |
$3.219910$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.57075$ |
$[0, 0, 0, -363329175, 2665621745750]$ |
\(y^2=x^3-363329175x+2665621745750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(11014, 1638), (257305/4, 63411075/4)]$ |
| 382200.cc3 |
382200cc1 |
382200.cc |
382200cc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$13.91947170$ |
$1$ |
|
$1$ |
$99090432$ |
$3.643559$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.89946$ |
$[0, -1, 0, -1978125508, -33862609468988]$ |
\(y^2=x^3-x^2-1978125508x-33862609468988\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(59976976/31, 275910172062/31)]$ |
| 425880.u3 |
425880u1 |
425880.u |
425880u |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$115605504$ |
$3.697666$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.90030$ |
$[0, 0, 0, -2456105223, -46850967803302]$ |
\(y^2=x^3-2456105223x-46850967803302\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 436800.cv3 |
436800cv1 |
436800.cv |
436800cv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$2.337523981$ |
$1$ |
|
$5$ |
$33030144$ |
$3.017178$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.26003$ |
$[0, -1, 0, -161479633, 789867677137]$ |
\(y^2=x^3-x^2-161479633x+789867677137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 104.24.0.?, $\ldots$ |
$[(7336, 147)]$ |
| 436800.rw3 |
436800rw1 |
436800.rw |
436800rw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$33030144$ |
$3.017178$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.26003$ |
$[0, 1, 0, -161479633, -789867677137]$ |
\(y^2=x^3+x^2-161479633x-789867677137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 104.24.0.?, $\ldots$ |
$[]$ |
| 458640.dq3 |
458640dq1 |
458640.dq |
458640dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$66060288$ |
$3.388145$ |
$1819018058610682173904/4844385$ |
$0.99536$ |
$5.58183$ |
$[0, 0, 0, -712125183, -7314466070338]$ |
\(y^2=x^3-712125183x-7314466070338\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
