| 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 |
| 123840.a1 |
123840bs1 |
123840.a |
123840bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$131072$ |
$0.835805$ |
$-30505984/9675$ |
$0.77867$ |
$2.89647$ |
$[0, 0, 0, -1488, -27488]$ |
\(y^2=x^3-1488x-27488\) |
86.2.0.? |
$[]$ |
| 123840.b1 |
123840cj2 |
123840.b |
123840cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{25} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.366074550$ |
$1$ |
|
$7$ |
$15482880$ |
$3.141018$ |
$503835593418244309249/898614000000$ |
$1.01669$ |
$5.69102$ |
$[0, 0, 0, -95486988, 359139964912]$ |
\(y^2=x^3-95486988x+359139964912\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(4862, 99072)]$ |
| 123840.b2 |
123840cj1 |
123840.b |
123840cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{32} \cdot 3^{16} \cdot 5^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.732149100$ |
$1$ |
|
$5$ |
$7741440$ |
$2.794445$ |
$-119305480789133569/5200091136000$ |
$0.98567$ |
$4.98530$ |
$[0, 0, 0, -5907468, 5730842608]$ |
\(y^2=x^3-5907468x+5730842608\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(1278, 16384)]$ |
| 123840.c1 |
123840ds2 |
123840.c |
123840ds |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.295680660$ |
$1$ |
|
$21$ |
$49152$ |
$0.418293$ |
$354894912/1075$ |
$0.82271$ |
$2.66919$ |
$[0, 0, 0, -708, 7232]$ |
\(y^2=x^3-708x+7232\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(14, 8), (22, 48)]$ |
| 123840.c2 |
123840ds1 |
123840.c |
123840ds |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.182722642$ |
$1$ |
|
$5$ |
$24576$ |
$0.071719$ |
$16003008/9245$ |
$1.00277$ |
$2.05027$ |
$[0, 0, 0, -63, 8]$ |
\(y^2=x^3-63x+8\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-4, 14), (8, 4)]$ |
| 123840.d1 |
123840ch1 |
123840.d |
123840ch |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.635112668$ |
$1$ |
|
$3$ |
$983040$ |
$1.831322$ |
$770842973809/66873600$ |
$0.91571$ |
$3.96010$ |
$[0, 0, 0, -110028, -12951952]$ |
\(y^2=x^3-110028x-12951952\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(1064, 32780)]$ |
| 123840.d2 |
123840ch2 |
123840.d |
123840ch |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{22} \cdot 3^{16} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$11.27022533$ |
$1$ |
|
$1$ |
$1966080$ |
$2.177895$ |
$1009328859791/8734528080$ |
$0.96292$ |
$4.20785$ |
$[0, 0, 0, 120372, -60045712]$ |
\(y^2=x^3+120372x-60045712\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(124136/11, 45003364/11)]$ |
| 123840.e1 |
123840ez4 |
123840.e |
123840ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{11} \cdot 5^{2} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$1.828718435$ |
$1$ |
|
$7$ |
$5242880$ |
$2.626717$ |
$947094050118111698/20769216075$ |
$0.99077$ |
$5.09667$ |
$[0, 0, 0, -9353388, 11010151888]$ |
\(y^2=x^3-9353388x+11010151888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[(1754, 720)]$ |
| 123840.e2 |
123840ez2 |
123840.e |
123840ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$3.657436870$ |
$1$ |
|
$9$ |
$2621440$ |
$2.280144$ |
$513591322675396/68238500625$ |
$0.95257$ |
$4.39632$ |
$[0, 0, 0, -605388, 159132688]$ |
\(y^2=x^3-605388x+159132688\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 172.12.0.?, $\ldots$ |
$[(701, 8901)]$ |
| 123840.e3 |
123840ez1 |
123840.e |
123840ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{11} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$1.828718435$ |
$1$ |
|
$5$ |
$1310720$ |
$1.933571$ |
$34739908901584/4081640625$ |
$0.92466$ |
$4.04841$ |
$[0, 0, 0, -155388, -21047312]$ |
\(y^2=x^3-155388x-21047312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 258.6.0.?, $\ldots$ |
$[(-262, 1296)]$ |
| 123840.e4 |
123840ez3 |
123840.e |
123840ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{17} \cdot 3^{26} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1032$ |
$48$ |
$0$ |
$7.314873741$ |
$1$ |
|
$3$ |
$5242880$ |
$2.626717$ |
$969360123836302/3748293231075$ |
$0.98630$ |
$4.65774$ |
$[0, 0, 0, 942612, 839633488]$ |
\(y^2=x^3+942612x+839633488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ |
$[(-99, 27301)]$ |
| 123840.f1 |
123840f4 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{30} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$22.12362615$ |
$1$ |
|
$1$ |
$10616832$ |
$3.129749$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.86534$ |
$[0, 0, 0, -188745228, -998072486928]$ |
\(y^2=x^3-188745228x-998072486928\) |
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, $\ldots$ |
$[(7892109928/167, 700273491335684/167)]$ |
| 123840.f2 |
123840f3 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{42} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$11.06181307$ |
$1$ |
|
$3$ |
$5308416$ |
$2.783176$ |
$35198225176082067/18035507200$ |
$0.99251$ |
$5.15607$ |
$[0, 0, 0, -11798028, -15590853648]$ |
\(y^2=x^3-11798028x-15590853648\) |
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.s.1, $\ldots$ |
$[(282856, 150423580)]$ |
| 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.f4 |
123840f1 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{26} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$3.687271025$ |
$1$ |
|
$5$ |
$1769472$ |
$2.233871$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.31816$ |
$[0, 0, 0, -446028, 89079152]$ |
\(y^2=x^3-446028x+89079152\) |
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.s.1, $\ldots$ |
$[(776, 14500)]$ |
| 123840.g1 |
123840fr4 |
123840.g |
123840fr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 43^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$3.395954560$ |
$1$ |
|
$13$ |
$589824$ |
$1.677715$ |
$284630612552/153846045$ |
$0.93266$ |
$3.69782$ |
$[0, 0, 0, -39468, -775312]$ |
\(y^2=x^3-39468x-775312\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(-59, 1161), (8068, 724464)]$ |
| 123840.g2 |
123840fr2 |
123840.g |
123840fr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.395954560$ |
$1$ |
|
$25$ |
$294912$ |
$1.331142$ |
$466566337216/3744225$ |
$0.91965$ |
$3.56263$ |
$[0, 0, 0, -23268, 1356608]$ |
\(y^2=x^3-23268x+1356608\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 344.12.0.?, $\ldots$ |
$[(64, 360), (74, 200)]$ |
| 123840.g3 |
123840fr1 |
123840.g |
123840fr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{8} \cdot 5 \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$13.58381824$ |
$1$ |
|
$3$ |
$147456$ |
$0.984569$ |
$29687332481344/1935$ |
$0.95388$ |
$3.56214$ |
$[0, 0, 0, -23223, 1362152]$ |
\(y^2=x^3-23223x+1362152\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(104, 268), (577/2, 8055/2)]$ |
| 123840.g4 |
123840fr3 |
123840.g |
123840fr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{14} \cdot 5^{4} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$3.395954560$ |
$1$ |
|
$15$ |
$589824$ |
$1.677715$ |
$-2186875592/176326875$ |
$0.94374$ |
$3.70423$ |
$[0, 0, 0, -7788, 3133712]$ |
\(y^2=x^3-7788x+3133712\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(-14, 1800), (-158, 648)]$ |
| 123840.h1 |
123840o2 |
123840.h |
123840o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.811342016$ |
$1$ |
|
$13$ |
$393216$ |
$1.481434$ |
$2315685267/9245$ |
$1.00157$ |
$3.74589$ |
$[0, 0, 0, -47628, 3986928]$ |
\(y^2=x^3-47628x+3986928\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(78, 864), (148, 424)]$ |
| 123840.h2 |
123840o1 |
123840.h |
123840o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.811342016$ |
$1$ |
|
$13$ |
$196608$ |
$1.134859$ |
$1860867/1075$ |
$0.91503$ |
$3.13819$ |
$[0, 0, 0, -4428, -4752]$ |
\(y^2=x^3-4428x-4752\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(94, 640), (-2, 64)]$ |
| 123840.i1 |
123840ey4 |
123840.i |
123840ey |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$1.796074598$ |
$1$ |
|
$3$ |
$1179648$ |
$2.088516$ |
$65202655558249/512820150$ |
$0.94492$ |
$4.33853$ |
$[0, 0, 0, -482988, 128316112]$ |
\(y^2=x^3-482988x+128316112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[(266, 4320)]$ |
| 123840.i2 |
123840ey2 |
123840.i |
123840ey |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$3.592149197$ |
$1$ |
|
$7$ |
$589824$ |
$1.741943$ |
$76711450249/41602500$ |
$0.93993$ |
$3.76333$ |
$[0, 0, 0, -50988, -1111088]$ |
\(y^2=x^3-50988x-1111088\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 172.12.0.?, $\ldots$ |
$[(272, 2268)]$ |
| 123840.i3 |
123840ey1 |
123840.i |
123840ey |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$1.796074598$ |
$1$ |
|
$5$ |
$294912$ |
$1.395369$ |
$35578826569/51600$ |
$0.88645$ |
$3.69782$ |
$[0, 0, 0, -39468, -3014192]$ |
\(y^2=x^3-39468x-3014192\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 258.6.0.?, $\ldots$ |
$[(-112, 36)]$ |
| 123840.i4 |
123840ey3 |
123840.i |
123840ey |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{19} \cdot 3^{10} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1032$ |
$48$ |
$0$ |
$7.184298395$ |
$1$ |
|
$1$ |
$1179648$ |
$2.088516$ |
$4403686064471/2721093750$ |
$0.97012$ |
$4.10871$ |
$[0, 0, 0, 196692, -8739632]$ |
\(y^2=x^3+196692x-8739632\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ |
$[(31021/3, 5508125/3)]$ |
| 123840.j1 |
123840br2 |
123840.j |
123840br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.130006992$ |
$1$ |
|
$19$ |
$270336$ |
$1.275282$ |
$2186875592/1248075$ |
$0.91591$ |
$3.28263$ |
$[0, 0, 0, -7788, 31088]$ |
\(y^2=x^3-7788x+31088\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(-2, 216), (-56, 540)]$ |
| 123840.j2 |
123840br1 |
123840.j |
123840br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$4.520027969$ |
$1$ |
|
$13$ |
$135168$ |
$0.928708$ |
$267089984/156735$ |
$1.04210$ |
$2.92601$ |
$[0, 0, 0, 1932, 3872]$ |
\(y^2=x^3+1932x+3872\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(4, 108), (94, 1008)]$ |
| 123840.k1 |
123840dr2 |
123840.k |
123840dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$27525120$ |
$3.420258$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.20785$ |
$[0, 0, 0, -720001548, -7436152006128]$ |
\(y^2=x^3-720001548x-7436152006128\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 123840.k2 |
123840dr1 |
123840.k |
123840dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{14} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$13762560$ |
$3.073685$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$5.49856$ |
$[0, 0, 0, -45001548, -116182006128]$ |
\(y^2=x^3-45001548x-116182006128\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
| 123840.l1 |
123840ci4 |
123840.l |
123840ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{10} \cdot 5 \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5160$ |
$48$ |
$0$ |
$6.992948713$ |
$1$ |
|
$1$ |
$786432$ |
$1.689558$ |
$41725476313778/17415$ |
$0.93732$ |
$4.24136$ |
$[0, 0, 0, -330348, -73081168]$ |
\(y^2=x^3-330348x-73081168\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(8473/2, 747549/2)]$ |
| 123840.l2 |
123840ci2 |
123840.l |
123840ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.496474356$ |
$1$ |
|
$7$ |
$393216$ |
$1.342985$ |
$20674973956/416025$ |
$0.86747$ |
$3.53331$ |
$[0, 0, 0, -20748, -1130128]$ |
\(y^2=x^3-20748x-1130128\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 516.12.0.?, $\ldots$ |
$[(-76, 88)]$ |
| 123840.l3 |
123840ci1 |
123840.l |
123840ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5160$ |
$48$ |
$0$ |
$1.748237178$ |
$1$ |
|
$5$ |
$196608$ |
$0.996411$ |
$192143824/80625$ |
$0.81096$ |
$3.01614$ |
$[0, 0, 0, -2748, 29072]$ |
\(y^2=x^3-2748x+29072\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 258.6.0.?, $\ldots$ |
$[(-4, 200)]$ |
| 123840.l4 |
123840ci3 |
123840.l |
123840ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{17} \cdot 3^{7} \cdot 5 \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5160$ |
$48$ |
$0$ |
$1.748237178$ |
$1$ |
|
$7$ |
$786432$ |
$1.689558$ |
$715822/51282015$ |
$1.03514$ |
$3.71652$ |
$[0, 0, 0, 852, -3367888]$ |
\(y^2=x^3+852x-3367888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(277, 4257)]$ |
| 123840.m1 |
123840bt2 |
123840.m |
123840bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$466944$ |
$1.302942$ |
$6389297223616/29025$ |
$0.91847$ |
$3.78580$ |
$[0, 0, 0, -55668, -5055392]$ |
\(y^2=x^3-55668x-5055392\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[]$ |
| 123840.m2 |
123840bt1 |
123840.m |
123840bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$233472$ |
$0.956369$ |
$-95068558144/6739605$ |
$0.88015$ |
$3.08218$ |
$[0, 0, 0, -3423, -81668]$ |
\(y^2=x^3-3423x-81668\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[]$ |
| 123840.n1 |
123840fo1 |
123840.n |
123840fo |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$0.863038$ |
$-38614472/5375$ |
$0.89020$ |
$2.95679$ |
$[0, 0, 0, -2028, -39152]$ |
\(y^2=x^3-2028x-39152\) |
1720.2.0.? |
$[]$ |
| 123840.o1 |
123840fn1 |
123840.o |
123840fn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{11} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2703360$ |
$2.366634$ |
$9002230481662/170068359375$ |
$0.98348$ |
$4.40517$ |
$[0, 0, 0, 198132, 190955792]$ |
\(y^2=x^3+198132x+190955792\) |
1720.2.0.? |
$[]$ |
| 123840.p1 |
123840fp1 |
123840.p |
123840fp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{7} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3268608$ |
$2.494415$ |
$-71751706663500872/503130234375$ |
$0.97262$ |
$4.75945$ |
$[0, 0, 0, -2493228, -1524426352]$ |
\(y^2=x^3-2493228x-1524426352\) |
1720.2.0.? |
$[]$ |
| 123840.q1 |
123840fm1 |
123840.q |
123840fm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.308807623$ |
$1$ |
|
$6$ |
$46080$ |
$0.485568$ |
$-6476460544/1075$ |
$0.84439$ |
$2.84327$ |
$[0, 0, 0, -1398, 20122]$ |
\(y^2=x^3-1398x+20122\) |
86.2.0.? |
$[(21, 5), (89/2, 45/2)]$ |
| 123840.r1 |
123840bo1 |
123840.r |
123840bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{4} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$786432$ |
$1.881609$ |
$-162140591104/4025041875$ |
$0.97179$ |
$3.91322$ |
$[0, 0, 0, -25968, 10671392]$ |
\(y^2=x^3-25968x+10671392\) |
86.2.0.? |
$[]$ |
| 123840.s1 |
123840bn2 |
123840.s |
123840bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.786165119$ |
$1$ |
|
$17$ |
$229376$ |
$1.214460$ |
$909513218/83205$ |
$0.84154$ |
$3.32604$ |
$[0, 0, 0, -9228, 313072]$ |
\(y^2=x^3-9228x+313072\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(14, 432), (-82, 720)]$ |
| 123840.s2 |
123840bn1 |
123840.s |
123840bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.786165119$ |
$1$ |
|
$19$ |
$114688$ |
$0.867886$ |
$19307236/3225$ |
$0.89206$ |
$2.93841$ |
$[0, 0, 0, -2028, -29648]$ |
\(y^2=x^3-2028x-29648\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-19, 45), (-28, 72)]$ |
| 123840.t1 |
123840e2 |
123840.t |
123840e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$3.521973088$ |
$1$ |
|
$5$ |
$294912$ |
$1.405411$ |
$4792616856/46225$ |
$0.94213$ |
$3.63059$ |
$[0, 0, 0, -30348, -2017872]$ |
\(y^2=x^3-30348x-2017872\) |
2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.? |
$[(-104, 116)]$ |
| 123840.t2 |
123840e1 |
123840.t |
123840e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$1.760986544$ |
$1$ |
|
$5$ |
$147456$ |
$1.058838$ |
$51478848/26875$ |
$0.97221$ |
$3.06666$ |
$[0, 0, 0, -3348, 23328]$ |
\(y^2=x^3-3348x+23328\) |
2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.? |
$[(4, 100)]$ |
| 123840.u1 |
123840eq2 |
123840.u |
123840eq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{19} \cdot 3^{8} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.160553494$ |
$1$ |
|
$7$ |
$884736$ |
$1.993042$ |
$263732349218689/4160250$ |
$0.95326$ |
$4.45770$ |
$[0, 0, 0, -769548, 259833872]$ |
\(y^2=x^3-769548x+259833872\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(514, 288)]$ |
| 123840.u2 |
123840eq1 |
123840.u |
123840eq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{7} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.321106989$ |
$1$ |
|
$5$ |
$442368$ |
$1.646467$ |
$70393838689/8062500$ |
$0.89632$ |
$3.75600$ |
$[0, 0, 0, -49548, 3801872]$ |
\(y^2=x^3-49548x+3801872\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-4, 2000)]$ |
| 123840.v1 |
123840ca2 |
123840.v |
123840ca |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{17} \cdot 3^{16} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.052825412$ |
$1$ |
|
$5$ |
$819200$ |
$1.923853$ |
$2727138195938/545908005$ |
$0.92415$ |
$4.00874$ |
$[0, 0, 0, -133068, 15110512]$ |
\(y^2=x^3-133068x+15110512\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(104, 1548)]$ |
| 123840.v2 |
123840ca1 |
123840.v |
123840ca |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.026412706$ |
$1$ |
|
$7$ |
$409600$ |
$1.577280$ |
$4615962240676/261225$ |
$0.91641$ |
$3.99451$ |
$[0, 0, 0, -125868, 17186992]$ |
\(y^2=x^3-125868x+17186992\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(221, 405)]$ |
| 123840.w1 |
123840fl2 |
123840.w |
123840fl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{15} \cdot 3^{24} \cdot 5^{7} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$45.89346196$ |
$1$ |
|
$5$ |
$14450688$ |
$3.347393$ |
$299786086083570891272/55964100325078125$ |
$1.07409$ |
$5.46942$ |
$[0, 0, 0, -40156428, -80613670448]$ |
\(y^2=x^3-40156428x-80613670448\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(10757, 855657), (939932, 911244168)]$ |
| 123840.w2 |
123840fl1 |
123840.w |
123840fl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{15} \cdot 5^{14} \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$11.47336549$ |
$1$ |
|
$11$ |
$7225344$ |
$3.000820$ |
$64504166108617130176/5165826416015625$ |
$1.03000$ |
$5.16108$ |
$[0, 0, 0, -12031428, 14910079552]$ |
\(y^2=x^3-12031428x+14910079552\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(974, 64152), (2432, 5832)]$ |
