| 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 |
| 3990.bb1 |
3990bb5 |
3990.bb |
3990bb |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.55 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$61440$ |
$1.880180$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.02512$ |
$[1, 0, 0, -355515, -81603333]$ |
\(y^2+xy=x^3-355515x-81603333\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bj.1.7, 280.48.0.?, $\ldots$ |
$[]$ |
| 11970.c1 |
11970r5 |
11970.c |
11970r |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.429485$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.02218$ |
$[1, -1, 0, -3199635, 2203289991]$ |
\(y^2+xy=x^3-x^2-3199635x+2203289991\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 12.12.0-4.c.1.1, 24.48.0-24.bj.1.6, $\ldots$ |
$[]$ |
| 19950.o1 |
19950g5 |
19950.o |
19950g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1474560$ |
$2.684898$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.02104$ |
$[1, 1, 0, -8887875, -10200416625]$ |
\(y^2+xy=x^3+x^2-8887875x-10200416625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0.bj.1, $\ldots$ |
$[]$ |
| 27930.ci1 |
27930cg6 |
27930.ci |
27930cg |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2949120$ |
$2.853134$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.02035$ |
$[1, 1, 1, -17420236, 27972522983]$ |
\(y^2+xy+y=x^3+x^2-17420236x+27972522983\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 31920.ba1 |
31920bk6 |
31920.ba |
31920bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$31920$ |
$192$ |
$1$ |
$5.863560677$ |
$1$ |
|
$5$ |
$1474560$ |
$2.573326$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.61907$ |
$[0, -1, 0, -5688240, 5222613312]$ |
\(y^2=x^3-x^2-5688240x+5222613312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 24.48.0-24.bj.1.5, 280.48.0.?, $\ldots$ |
$[(2482, 79926)]$ |
| 59850.fe1 |
59850fh6 |
59850.fe |
59850fh |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11796480$ |
$3.234207$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01894$ |
$[1, -1, 1, -79990880, 275331257997]$ |
\(y^2+xy+y=x^3-x^2-79990880x+275331257997\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 40.24.0-8.n.1.9, $\ldots$ |
$[]$ |
| 75810.x1 |
75810w6 |
75810.x |
75810w |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$31920$ |
$192$ |
$1$ |
$8.275306991$ |
$1$ |
|
$2$ |
$22118400$ |
$3.352398$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01854$ |
$[1, 1, 0, -128340922, 559460579206]$ |
\(y^2+xy=x^3+x^2-128340922x+559460579206\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bj.1, $\ldots$ |
$[(11727, 811024)]$ |
| 83790.bi1 |
83790cn6 |
83790.bi |
83790cn |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$3.128369506$ |
$1$ |
|
$4$ |
$23592960$ |
$3.402443$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01837$ |
$[1, -1, 0, -156782124, -755414902670]$ |
\(y^2+xy=x^3-x^2-156782124x-755414902670\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 40.24.0-8.n.1.7, $\ldots$ |
$[(-7221, 15704)]$ |
| 95760.cu1 |
95760ea6 |
95760.cu |
95760ea |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$31920$ |
$192$ |
$1$ |
$0.988371318$ |
$1$ |
|
$7$ |
$11796480$ |
$3.122635$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.65556$ |
$[0, 0, 0, -51194163, -140959365262]$ |
\(y^2=x^3-51194163x-140959365262\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0-4.c.1.2, 24.48.0-24.bj.1.8, $\ldots$ |
$[(-4121, 5130)]$ |
| 127680.d1 |
127680j6 |
127680.d |
127680j |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.919903$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.31026$ |
$[0, -1, 0, -22752961, -41758153535]$ |
\(y^2=x^3-x^2-22752961x-41758153535\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 12.12.0-4.c.1.2, 24.48.0-24.bj.1.1, $\ldots$ |
$[]$ |
| 127680.ew1 |
127680fi6 |
127680.ew |
127680fi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.919903$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.31026$ |
$[0, 1, 0, -22752961, 41758153535]$ |
\(y^2=x^3+x^2-22752961x+41758153535\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 12.12.0-4.c.1.1, 24.48.0-24.bj.1.3, $\ldots$ |
$[]$ |
| 139650.ef1 |
139650ha5 |
139650.ef |
139650ha |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$70778880$ |
$3.657856$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01758$ |
$[1, 0, 1, -435505901, 3497436384698]$ |
\(y^2+xy+y=x^3-435505901x+3497436384698\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 24.48.0-24.bj.1.10, 140.12.0.?, $\ldots$ |
$[]$ |
| 159600.do1 |
159600bt5 |
159600.do |
159600bt |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$0.681855039$ |
$1$ |
|
$27$ |
$35389440$ |
$3.378048$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.67025$ |
$[0, 1, 0, -142206008, 652542251988]$ |
\(y^2=x^3+x^2-142206008x+652542251988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0.bj.1, $\ldots$ |
$[(7438, 79800), (-9282, 1083000)]$ |
| 223440.dt1 |
223440bv6 |
223440.dt |
223440bv |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$33.36348429$ |
$1$ |
|
$7$ |
$70778880$ |
$3.546284$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.67925$ |
$[0, 1, 0, -278723776, -1790798918476]$ |
\(y^2=x^3+x^2-278723776x-1790798918476\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-9700, 15582), (57332, 13064478)]$ |
| 227430.dg1 |
227430bq6 |
227430.dg |
227430bq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$176947200$ |
$3.901707$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01689$ |
$[1, -1, 1, -1155068303, -15106590706863]$ |
\(y^2+xy+y=x^3-x^2-1155068303x-15106590706863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 24.24.0.bj.1, $\ldots$ |
$[]$ |
| 379050.kd1 |
379050kd5 |
379050.kd |
379050kd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 19^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$18.22960780$ |
$1$ |
|
$0$ |
$530841600$ |
$4.157120$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01622$ |
$[1, 0, 0, -3208523063, 69938989446867]$ |
\(y^2+xy=x^3-3208523063x+69938989446867\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 80.24.0.?, $\ldots$ |
$[(3153419173/308, 3082334187533/308)]$ |
| 383040.ki1 |
383040ki5 |
383040.ki |
383040ki |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$94371840$ |
$3.469208$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.36920$ |
$[0, 0, 0, -204776652, 1127674922096]$ |
\(y^2=x^3-204776652x+1127674922096\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 24.48.0-24.bj.1.4, 280.48.0.?, $\ldots$ |
$[]$ |
| 383040.lp1 |
383040lp6 |
383040.lp |
383040lp |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$31920$ |
$192$ |
$1$ |
$4.108300908$ |
$4$ |
$2$ |
$3$ |
$94371840$ |
$3.469208$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.36920$ |
$[0, 0, 0, -204776652, -1127674922096]$ |
\(y^2=x^3-204776652x-1127674922096\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 24.48.0-24.bj.1.2, 280.48.0.?, $\ldots$ |
$[(-8212, 12600)]$ |
| 418950.ko1 |
418950ko6 |
418950.ko |
418950ko |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$31920$ |
$192$ |
$1$ |
$21.15018093$ |
$1$ |
|
$0$ |
$566231040$ |
$4.207161$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$6.01609$ |
$[1, -1, 1, -3919553105, -94430782386853]$ |
\(y^2+xy+y=x^3-x^2-3919553105x-94430782386853\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 24.48.0-24.bj.1.11, 280.48.0.?, $\ldots$ |
$[(-40608014537/1066, 1728056279091/1066)]$ |
| 478800.gk1 |
478800gk6 |
478800.gk |
478800gk |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$283115520$ |
$3.927353$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$5.69794$ |
$[0, 0, 0, -1279854075, -17619920657750]$ |
\(y^2=x^3-1279854075x-17619920657750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 40.24.0-8.n.1.11, $\ldots$ |
$[]$ |
| 482790.dr1 |
482790dr5 |
482790.dr |
482790dr |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$351120$ |
$192$ |
$1$ |
$2.344068162$ |
$1$ |
|
$16$ |
$78643200$ |
$3.079128$ |
$4969327007303723277361/1123462695162150$ |
$1.00070$ |
$4.91658$ |
$[1, 0, 1, -43017318, 108571018906]$ |
\(y^2+xy+y=x^3-43017318x+108571018906\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(3920, 11577), (3860, 4422)]$ |
