| 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 |
| 10920.c1 |
10920j3 |
10920.c |
10920j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$20480$ |
$1.077175$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.51592$ |
$[0, -1, 0, -24976, -1510964]$ |
\(y^2=x^3-x^2-24976x-1510964\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 21840.bo1 |
21840q4 |
21840.bo |
21840q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3640$ |
$48$ |
$0$ |
$1.208455069$ |
$1$ |
|
$5$ |
$40960$ |
$1.077175$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.20264$ |
$[0, 1, 0, -24976, 1510964]$ |
\(y^2=x^3+x^2-24976x+1510964\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.y.1.14, 260.12.0.?, $\ldots$ |
$[(92, 18)]$ |
| 32760.x1 |
32760q4 |
32760.x |
32760q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.506700883$ |
$1$ |
|
$3$ |
$163840$ |
$1.626480$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.67274$ |
$[0, 0, 0, -224787, 41020814]$ |
\(y^2=x^3-224787x+41020814\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[(310, 1062)]$ |
| 54600.cr1 |
54600bb4 |
54600.cr |
54600bb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$1.881893$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.73490$ |
$[0, 1, 0, -624408, -190119312]$ |
\(y^2=x^3+x^2-624408x-190119312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 52.12.0-4.c.1.1, 56.12.0.y.1, $\ldots$ |
$[ ]$ |
| 65520.ee1 |
65520bm4 |
65520.ee |
65520bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.626480$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.38069$ |
$[0, 0, 0, -224787, -41020814]$ |
\(y^2=x^3-224787x-41020814\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[ ]$ |
| 76440.cz1 |
76440da4 |
76440.cz |
76440da |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$983040$ |
$2.050129$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.77276$ |
$[0, 1, 0, -1223840, 520708320]$ |
\(y^2=x^3+x^2-1223840x+520708320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.5, 520.24.0.?, $\ldots$ |
$[ ]$ |
| 87360.dr1 |
87360fq4 |
87360.dr |
87360fq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3640$ |
$48$ |
$0$ |
$4.139950580$ |
$1$ |
|
$5$ |
$327680$ |
$1.423748$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.05611$ |
$[0, -1, 0, -99905, 12187617]$ |
\(y^2=x^3-x^2-99905x+12187617\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.y.1.2, 520.24.0.?, 3640.48.0.? |
$[(967, 28616)]$ |
| 87360.ft1 |
87360dg4 |
87360.ft |
87360dg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$327680$ |
$1.423748$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.05611$ |
$[0, 1, 0, -99905, -12187617]$ |
\(y^2=x^3+x^2-99905x-12187617\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.y.1.10, 520.24.0.?, 3640.48.0.? |
$[ ]$ |
| 109200.g1 |
109200l4 |
109200.g |
109200l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$2.177159278$ |
$1$ |
|
$21$ |
$983040$ |
$1.881893$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.45199$ |
$[0, -1, 0, -624408, 190119312]$ |
\(y^2=x^3-x^2-624408x+190119312\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0.y.1, $\ldots$ |
$[(432, 900), (456, 12)]$ |
| 141960.bg1 |
141960bw4 |
141960.bg |
141960bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$15.30123008$ |
$1$ |
|
$1$ |
$3440640$ |
$2.359650$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.83679$ |
$[0, -1, 0, -4221000, -3336471828]$ |
\(y^2=x^3-x^2-4221000x-3336471828\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(51952553/68, 367685127667/68)]$ |
| 152880.cs1 |
152880ha4 |
152880.cs |
152880ha |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$19.47728329$ |
$1$ |
|
$7$ |
$1966080$ |
$2.050129$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.49563$ |
$[0, -1, 0, -1223840, -520708320]$ |
\(y^2=x^3-x^2-1223840x-520708320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.13, 520.24.0.?, $\ldots$ |
$[(-638, 22), (-15966/5, 3102/5)]$ |
| 163800.dg1 |
163800w3 |
163800.dg |
163800w |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1.606236152$ |
$1$ |
|
$5$ |
$3932160$ |
$2.431198$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.85066$ |
$[0, 0, 0, -5619675, 5127601750]$ |
\(y^2=x^3-5619675x+5127601750\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 120.12.0.?, 156.12.0.?, $\ldots$ |
$[(1790, 28350)]$ |
| 229320.r1 |
229320ds4 |
229320.r |
229320ds |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7864320$ |
$2.599434$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.88199$ |
$[0, 0, 0, -11014563, -14070139202]$ |
\(y^2=x^3-11014563x-14070139202\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[ ]$ |
| 262080.cw1 |
262080cw3 |
262080.cw |
262080cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.271212983$ |
$1$ |
|
$5$ |
$2621440$ |
$1.973055$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.22728$ |
$[0, 0, 0, -899148, 328166512]$ |
\(y^2=x^3-899148x+328166512\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[(557, 387)]$ |
| 262080.eb1 |
262080eb4 |
262080.eb |
262080eb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.737365188$ |
$1$ |
|
$5$ |
$2621440$ |
$1.973055$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.22728$ |
$[0, 0, 0, -899148, -328166512]$ |
\(y^2=x^3-899148x-328166512\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[(-547, 11)]$ |
| 283920.hh1 |
283920hh3 |
283920.hh |
283920hh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.359909377$ |
$1$ |
|
$3$ |
$6881280$ |
$2.359650$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.56979$ |
$[0, 1, 0, -4221000, 3336471828]$ |
\(y^2=x^3+x^2-4221000x+3336471828\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(2708, 108498)]$ |
| 327600.gd1 |
327600gd4 |
327600.gd |
327600gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$6.243133438$ |
$1$ |
|
$3$ |
$7864320$ |
$2.431198$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.58591$ |
$[0, 0, 0, -5619675, -5127601750]$ |
\(y^2=x^3-5619675x-5127601750\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 120.12.0.?, 156.12.0.?, $\ldots$ |
$[(20239, 2858562)]$ |
| 382200.el1 |
382200el3 |
382200.el |
382200el |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$2.854847$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.92642$ |
$[0, -1, 0, -30596008, 65149732012]$ |
\(y^2=x^3-x^2-30596008x+65149732012\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 425880.cn1 |
425880cn3 |
425880.cn |
425880cn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27525120$ |
$2.908955$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.93538$ |
$[0, 0, 0, -37989003, 90122728358]$ |
\(y^2=x^3-37989003x+90122728358\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.y.1, 60.12.0-4.c.1.1, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 436800.ga1 |
436800ga4 |
436800.ga |
436800ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.228466$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.29700$ |
$[0, -1, 0, -2497633, -1518456863]$ |
\(y^2=x^3-x^2-2497633x-1518456863\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 436800.nz1 |
436800nz3 |
436800.nz |
436800nz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$3.287789357$ |
$1$ |
|
$5$ |
$7864320$ |
$2.228466$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.29700$ |
$[0, 1, 0, -2497633, 1518456863]$ |
\(y^2=x^3+x^2-2497633x+1518456863\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(917, 252)]$ |
| 458640.gn1 |
458640gn3 |
458640.gn |
458640gn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15728640$ |
$2.599434$ |
$841356017734178/1404585$ |
$0.93607$ |
$4.62241$ |
$[0, 0, 0, -11014563, 14070139202]$ |
\(y^2=x^3-11014563x+14070139202\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[ ]$ |
