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 |
13860.k4 |
13860c4 |
13860.k |
13860c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$62208$ |
$1.666336$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.52680$ |
$[0, 0, 0, 37017, 222318]$ |
\(y^2=x^3+37017x+222318\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
13860.t4 |
13860f2 |
13860.t |
13860f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$20736$ |
$1.117029$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.83561$ |
$[0, 0, 0, 4113, -8234]$ |
\(y^2=x^3+4113x-8234\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
55440.p4 |
55440bu4 |
55440.p |
55440bu |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$248832$ |
$1.666336$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.95228$ |
$[0, 0, 0, 37017, -222318]$ |
\(y^2=x^3+37017x-222318\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
55440.ds4 |
55440cg2 |
55440.ds |
55440cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.117029$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.34882$ |
$[0, 0, 0, 4113, 8234]$ |
\(y^2=x^3+4113x+8234\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
69300.f4 |
69300a2 |
69300.f |
69300a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$1.921749$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.14814$ |
$[0, 0, 0, 102825, -1029250]$ |
\(y^2=x^3+102825x-1029250\) |
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, $\ldots$ |
$[]$ |
69300.bc4 |
69300e4 |
69300.bc |
69300e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$4.307024032$ |
$1$ |
|
$3$ |
$1492992$ |
$2.471054$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.73952$ |
$[0, 0, 0, 925425, 27789750]$ |
\(y^2=x^3+925425x+27789750\) |
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, $\ldots$ |
$[(5910, 460350)]$ |
97020.d4 |
97020f2 |
97020.d |
97020f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.249876074$ |
$1$ |
|
$7$ |
$995328$ |
$2.089985$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.20240$ |
$[0, 0, 0, 201537, 2824262]$ |
\(y^2=x^3+201537x+2824262\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 21.8.0-3.a.1.1, $\ldots$ |
$[(7, 2058)]$ |
97020.cm4 |
97020y4 |
97020.cm |
97020y |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$3.197341233$ |
$1$ |
|
$3$ |
$2985984$ |
$2.639290$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.77645$ |
$[0, 0, 0, 1813833, -76255074]$ |
\(y^2=x^3+1813833x-76255074\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 21.8.0-3.a.1.2, $\ldots$ |
$[(3066, 185220)]$ |
152460.f4 |
152460bx4 |
152460.f |
152460bx |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$7.019509059$ |
$1$ |
|
$3$ |
$7464960$ |
$2.865284$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.82279$ |
$[0, 0, 0, 4479057, -295905258]$ |
\(y^2=x^3+4479057x-295905258\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0-6.a.1.5, $\ldots$ |
$[(101827, 32500358)]$ |
152460.bd4 |
152460bl2 |
152460.bd |
152460bl |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.315979$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.27048$ |
$[0, 0, 0, 497673, 10959454]$ |
\(y^2=x^3+497673x+10959454\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0-6.a.1.9, $\ldots$ |
$[]$ |
221760.v4 |
221760hl2 |
221760.v |
221760hl |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$1.463604$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.30953$ |
$[0, 0, 0, 16452, 65872]$ |
\(y^2=x^3+16452x+65872\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 84.24.0.?, $\ldots$ |
$[]$ |
221760.fq4 |
221760nj2 |
221760.fq |
221760nj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1.059993301$ |
$1$ |
|
$7$ |
$663552$ |
$1.463604$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.30953$ |
$[0, 0, 0, 16452, -65872]$ |
\(y^2=x^3+16452x-65872\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 84.24.0.?, $\ldots$ |
$[(26, 616)]$ |
221760.is4 |
221760ge4 |
221760.is |
221760ge |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$2.012909$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.84503$ |
$[0, 0, 0, 148068, -1778544]$ |
\(y^2=x^3+148068x-1778544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 84.24.0.?, $\ldots$ |
$[]$ |
221760.lc4 |
221760mr4 |
221760.lc |
221760mr |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$0.634878673$ |
$1$ |
|
$9$ |
$1990656$ |
$2.012909$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.84503$ |
$[0, 0, 0, 148068, 1778544]$ |
\(y^2=x^3+148068x+1778544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 84.24.0.?, $\ldots$ |
$[(258, 7560)]$ |
277200.iq4 |
277200iq4 |
277200.iq |
277200iq |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$6.264672701$ |
$1$ |
|
$1$ |
$5971968$ |
$2.471054$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.21525$ |
$[0, 0, 0, 925425, -27789750]$ |
\(y^2=x^3+925425x-27789750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 84.24.0.?, $\ldots$ |
$[(105745/2, 34409375/2)]$ |
277200.lv4 |
277200lv2 |
277200.lv |
277200lv |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$1.921749$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.68929$ |
$[0, 0, 0, 102825, 1029250]$ |
\(y^2=x^3+102825x+1029250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 84.24.0.?, $\ldots$ |
$[]$ |
388080.ew4 |
388080ew2 |
388080.ew |
388080ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.089985$ |
$1113258734352/648484375$ |
$0.97674$ |
$3.74970$ |
$[0, 0, 0, 201537, -2824262]$ |
\(y^2=x^3+201537x-2824262\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
388080.iv4 |
388080iv4 |
388080.iv |
388080iv |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11943936$ |
$2.639290$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.26192$ |
$[0, 0, 0, 1813833, 76255074]$ |
\(y^2=x^3+1813833x+76255074\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
485100.cs4 |
485100cs2 |
485100.cs |
485100cs |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$16.12294185$ |
$1$ |
|
$1$ |
$23887872$ |
$2.894703$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.42338$ |
$[0, 0, 0, 5038425, 353032750]$ |
\(y^2=x^3+5038425x+353032750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.3, 84.24.0.?, $\ldots$ |
$[(555354745/78, 13091430303125/78)]$ |
485100.gv4 |
485100gv4 |
485100.gv |
485100gv |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$71663616$ |
$3.444012$ |
$1113258734352/648484375$ |
$0.97674$ |
$4.92687$ |
$[0, 0, 0, 45345825, -9531884250]$ |
\(y^2=x^3+45345825x-9531884250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.1, 84.24.0.?, $\ldots$ |
$[]$ |