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 |
2090.c3 |
2090d2 |
2090.c |
2090d |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$2688$ |
$0.835309$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.43309$ |
$[1, 0, 1, -1679, 20766]$ |
\(y^2+xy+y=x^3-1679x+20766\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 10.6.0.a.1, 30.48.0-30.a.1.4, $\ldots$ |
$[ ]$ |
10450.bf3 |
10450y2 |
10450.bf |
10450y |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{2} \cdot 5^{7} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1.613359920$ |
$1$ |
|
$2$ |
$64512$ |
$1.640028$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.70559$ |
$[1, 1, 1, -41963, 2595781]$ |
\(y^2+xy+y=x^3+x^2-41963x+2595781\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 10.6.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(239, 2388)]$ |
16720.bd3 |
16720u2 |
16720.bd |
16720u |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{14} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$4.130003569$ |
$1$ |
|
$3$ |
$64512$ |
$1.528456$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.34048$ |
$[0, -1, 0, -26856, -1329040]$ |
\(y^2=x^3-x^2-26856x-1329040\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$ |
$[(1076, 34848)]$ |
18810.bi3 |
18810bi2 |
18810.bi |
18810bi |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.384615$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.11316$ |
$[1, -1, 1, -15107, -560689]$ |
\(y^2+xy+y=x^3-x^2-15107x-560689\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 10.6.0.a.1, 30.48.0-30.a.1.2, $\ldots$ |
$[ ]$ |
22990.v3 |
22990u2 |
22990.v |
22990u |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 5 \cdot 11^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$4.565741216$ |
$1$ |
|
$0$ |
$322560$ |
$2.034256$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.80722$ |
$[1, 0, 0, -203101, -27842979]$ |
\(y^2+xy=x^3-203101x-27842979\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(2515/2, 74683/2)]$ |
39710.bc3 |
39710s2 |
39710.bc |
39710s |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$18.14866571$ |
$1$ |
|
$0$ |
$967680$ |
$2.307529$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.86878$ |
$[1, 1, 1, -605946, -143647597]$ |
\(y^2+xy+y=x^3+x^2-605946x-143647597\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(6596739933/667, 532861118222779/667)]$ |
66880.o3 |
66880dg2 |
66880.o |
66880dg |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{20} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.875031$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.17322$ |
$[0, 1, 0, -107425, -10739745]$ |
\(y^2=x^3+x^2-107425x-10739745\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.6, $\ldots$ |
$[ ]$ |
66880.dp3 |
66880bo2 |
66880.dp |
66880bo |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{20} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$15.56764529$ |
$1$ |
|
$1$ |
$516096$ |
$1.875031$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.17322$ |
$[0, -1, 0, -107425, 10739745]$ |
\(y^2=x^3-x^2-107425x+10739745\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.11, $\ldots$ |
$[(986647/189, 18846656648/189)]$ |
83600.o3 |
83600bw2 |
83600.o |
83600bw |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{14} \cdot 5^{7} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$3.152751620$ |
$1$ |
|
$3$ |
$1548288$ |
$2.333176$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.57614$ |
$[0, 1, 0, -671408, -167472812]$ |
\(y^2=x^3+x^2-671408x-167472812\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.10, $\ldots$ |
$[(-302, 2800)]$ |
94050.t3 |
94050bk2 |
94050.t |
94050bk |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{7} \cdot 11^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$0.891284233$ |
$1$ |
|
$20$ |
$1548288$ |
$2.189335$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.37834$ |
$[1, -1, 0, -377667, -70463759]$ |
\(y^2+xy=x^3-x^2-377667x-70463759\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 10.6.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[(-300, 4121), (954, 20423)]$ |
102410.z3 |
102410o2 |
102410.z |
102410o |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 2^{2} \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$87780$ |
$96$ |
$1$ |
$6.404698839$ |
$1$ |
|
$0$ |
$967680$ |
$1.808264$ |
$523002686860009/113851032020$ |
$0.92220$ |
$3.94965$ |
$[1, 1, 0, -82247, -7205071]$ |
\(y^2+xy=x^3+x^2-82247x-7205071\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(-12800/9, 1056367/9)]$ |
114950.bo3 |
114950o2 |
114950.bo |
114950o |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 5^{7} \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7741440$ |
$2.838974$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.97197$ |
$[1, 1, 0, -5077525, -3480372375]$ |
\(y^2+xy=x^3+x^2-5077525x-3480372375\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
150480.cp3 |
150480h2 |
150480.cp |
150480h |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{14} \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1548288$ |
$2.077763$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.09342$ |
$[0, 0, 0, -241707, 36125786]$ |
\(y^2=x^3-241707x+36125786\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$ |
$[ ]$ |
183920.cm3 |
183920bq2 |
183920.cm |
183920bq |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{14} \cdot 5 \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7741440$ |
$2.727406$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.66875$ |
$[0, -1, 0, -3249616, 1781950656]$ |
\(y^2=x^3-x^2-3249616x+1781950656\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
198550.c3 |
198550bw2 |
198550.c |
198550bw |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{7} \cdot 11^{2} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23224320$ |
$3.112247$ |
$523002686860009/113851032020$ |
$0.92220$ |
$5.01803$ |
$[1, 0, 1, -15148651, -17925652302]$ |
\(y^2+xy+y=x^3-15148651x-17925652302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
206910.bp3 |
206910cs2 |
206910.bp |
206910cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.583561$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.48280$ |
$[1, -1, 0, -1827909, 751760433]$ |
\(y^2+xy=x^3-x^2-1827909x+751760433\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
317680.g3 |
317680g2 |
317680.g |
317680g |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( 2^{14} \cdot 5 \cdot 11^{2} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23224320$ |
$3.000675$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.72618$ |
$[0, 1, 0, -9695136, 9174055924]$ |
\(y^2=x^3+x^2-9695136x+9174055924\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[ ]$ |
334400.q3 |
334400q2 |
334400.q |
334400q |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{20} \cdot 5^{7} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12386304$ |
$2.679749$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.40436$ |
$[0, 1, 0, -2685633, 1337096863]$ |
\(y^2=x^3+x^2-2685633x+1337096863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.5, $\ldots$ |
$[ ]$ |
334400.gn3 |
334400gn2 |
334400.gn |
334400gn |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{20} \cdot 5^{7} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$5.029421028$ |
$1$ |
|
$1$ |
$12386304$ |
$2.679749$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.40436$ |
$[0, -1, 0, -2685633, -1337096863]$ |
\(y^2=x^3-x^2-2685633x-1337096863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.12, $\ldots$ |
$[(-10832/3, 331075/3)]$ |
353210.bh3 |
353210bh2 |
353210.bh |
353210bh |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 19 \) |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 13^{6} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$163020$ |
$96$ |
$1$ |
$15.54132940$ |
$1$ |
|
$4$ |
$6193152$ |
$2.117783$ |
$523002686860009/113851032020$ |
$0.92220$ |
$3.85761$ |
$[1, 0, 0, -283670, 45907120]$ |
\(y^2+xy=x^3-283670x+45907120\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(456, 3152), (303/2, 39581/2)]$ |
357390.bx3 |
357390bx2 |
357390.bx |
357390bx |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$6.702027624$ |
$1$ |
|
$0$ |
$23224320$ |
$2.856834$ |
$523002686860009/113851032020$ |
$0.92220$ |
$4.54765$ |
$[1, -1, 0, -5453514, 3873031600]$ |
\(y^2+xy=x^3-x^2-5453514x+3873031600\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(141599/5, 48804997/5)]$ |
436810.bd3 |
436810bd2 |
436810.bd |
436810bd |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 5 \cdot 11^{8} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$12540$ |
$96$ |
$1$ |
$11.22660167$ |
$1$ |
|
$0$ |
$116121600$ |
$3.506477$ |
$523002686860009/113851032020$ |
$0.92220$ |
$5.07764$ |
$[1, 1, 0, -73319468, 190828354028]$ |
\(y^2+xy=x^3+x^2-73319468x+190828354028\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$ |
$[(2406379/15, 2661096103/15)]$ |