| 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 |
| 3870.e3 |
3870d2 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$3.667951233$ |
$1$ |
|
$8$ |
$18432$ |
$1.540724$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.22541$ |
$[1, -1, 0, -36969, -2578275]$ |
\(y^2+xy=x^3-x^2-36969x-2578275\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 516.48.0.?, $\ldots$ |
$[(-89, 77)]$ |
| 3870.l1 |
3870m4 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$1.251133546$ |
$1$ |
|
$6$ |
$55296$ |
$2.090031$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$6.02333$ |
$[1, -1, 1, -332723, 69946147]$ |
\(y^2+xy+y=x^3-x^2-332723x+69946147\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 516.48.0.?, $\ldots$ |
$[(685, 12428)]$ |
| 19350.bk1 |
19350c4 |
19350.bk |
19350c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$3.886534241$ |
$1$ |
|
$2$ |
$1327104$ |
$2.894749$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$6.01953$ |
$[1, -1, 0, -8318067, 8734950341]$ |
\(y^2+xy=x^3-x^2-8318067x+8734950341\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$ |
$[(-2111, 130993)]$ |
| 19350.cs3 |
19350bq2 |
19350.cs |
19350bq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$442368$ |
$2.345444$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.35171$ |
$[1, -1, 1, -924230, -323208603]$ |
\(y^2+xy+y=x^3-x^2-924230x-323208603\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 30960.z1 |
30960s4 |
30960.z |
30960s |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1327104$ |
$2.783176$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.61644$ |
$[0, 0, 0, -5323563, -4471229862]$ |
\(y^2=x^3-5323563x-4471229862\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 30960.cb3 |
30960y2 |
30960.cb |
30960y |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$4.427651992$ |
$1$ |
|
$5$ |
$442368$ |
$2.233871$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.97898$ |
$[0, 0, 0, -591507, 165601106]$ |
\(y^2=x^3-591507x+165601106\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$ |
$[(527, 490)]$ |
| 123840.f3 |
123840f2 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$7.374542050$ |
$1$ |
|
$3$ |
$3538944$ |
$2.580444$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.74503$ |
$[0, 0, 0, -2366028, -1324808848]$ |
\(y^2=x^3-2366028x-1324808848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.r.1, $\ldots$ |
$[(2312, 74588)]$ |
| 123840.dh3 |
123840dv2 |
123840.dh |
123840dv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$6.200490031$ |
$1$ |
|
$1$ |
$3538944$ |
$2.580444$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.74503$ |
$[0, 0, 0, -2366028, 1324808848]$ |
\(y^2=x^3-2366028x+1324808848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.r.1, $\ldots$ |
$[(20057/4, 1160355/4)]$ |
| 123840.dx1 |
123840u4 |
123840.dx |
123840u |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$10616832$ |
$3.129749$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.30714$ |
$[0, 0, 0, -21294252, 35769838896]$ |
\(y^2=x^3-21294252x+35769838896\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.r.1, $\ldots$ |
$[]$ |
| 123840.gh1 |
123840eg4 |
123840.gh |
123840eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10616832$ |
$3.129749$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.30714$ |
$[0, 0, 0, -21294252, -35769838896]$ |
\(y^2=x^3-21294252x-35769838896\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.r.1, $\ldots$ |
$[]$ |
| 154800.l1 |
154800dw4 |
154800.l |
154800dw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$3.395248649$ |
$1$ |
|
$5$ |
$31850496$ |
$3.587894$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.66810$ |
$[0, 0, 0, -133089075, -558903732750]$ |
\(y^2=x^3-133089075x-558903732750\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.r.1.1, 516.48.0.?, $\ldots$ |
$[(-6729, 178794)]$ |
| 154800.o3 |
154800dz2 |
154800.o |
154800dz |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{9} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$4.391095684$ |
$1$ |
|
$3$ |
$10616832$ |
$3.038589$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.11649$ |
$[0, 0, 0, -14787675, 20700138250]$ |
\(y^2=x^3-14787675x+20700138250\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.r.1.9, 516.48.0.?, $\ldots$ |
$[(31655, 5592150)]$ |
| 166410.bl1 |
166410cs4 |
166410.bl |
166410cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 43^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$21.72602275$ |
$1$ |
|
$0$ |
$102187008$ |
$3.970631$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$6.01603$ |
$[1, -1, 0, -615204249, -5554441083907]$ |
\(y^2+xy=x^3-x^2-615204249x-5554441083907\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 60.48.0-60.r.1.10, $\ldots$ |
$[(-7591407193/721, 213150376249404/721)]$ |
| 166410.cj3 |
166410bh2 |
166410.cj |
166410bh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 43^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$20.34511738$ |
$1$ |
|
$0$ |
$34062336$ |
$3.421322$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.46774$ |
$[1, -1, 1, -68356028, 205742825487]$ |
\(y^2+xy+y=x^3-x^2-68356028x+205742825487\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 60.48.0-60.r.1.2, $\ldots$ |
$[(1149939691/45, 38965318981001/45)]$ |
| 189630.s3 |
189630eu2 |
189630.s |
189630eu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$1.083120655$ |
$1$ |
|
$4$ |
$5308416$ |
$2.513680$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.51274$ |
$[1, -1, 0, -1811490, 887971300]$ |
\(y^2+xy=x^3-x^2-1811490x+887971300\) |
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, $\ldots$ |
$[(996, 7930)]$ |
| 189630.ei1 |
189630bs4 |
189630.ei |
189630bs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$1.035767674$ |
$1$ |
|
$4$ |
$15925248$ |
$3.062984$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.05514$ |
$[1, -1, 1, -16303412, -23958921689]$ |
\(y^2+xy+y=x^3-x^2-16303412x-23958921689\) |
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, $\ldots$ |
$[(-2299, 38129)]$ |
| 468270.bd1 |
468270bd4 |
468270.bd |
468270bd |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 11^{6} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$79626240$ |
$3.288979$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.91286$ |
$[1, -1, 0, -40259445, -92977543675]$ |
\(y^2+xy=x^3-x^2-40259445x-92977543675\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.r.1, $\ldots$ |
$[]$ |
| 468270.ed3 |
468270ed2 |
468270.ed |
468270ed |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$2.739670$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$4.40801$ |
$[1, -1, 1, -4473272, 3445103819]$ |
\(y^2+xy+y=x^3-x^2-4473272x+3445103819\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.r.1, $\ldots$ |
$[]$ |
