| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 10470.a1 |
10470a4 |
10470.a |
10470a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 349^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$8376$ |
$48$ |
$0$ |
$4.183959109$ |
$1$ |
|
$4$ |
$124416$ |
$1.798128$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.26013$ |
$1$ |
$[1, 1, 0, -232937, 43157829]$ |
\(y^2+xy=x^3+x^2-232937x+43157829\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 2792.24.0.?, 8376.48.0.? |
$[(313, 861)]$ |
$1$ |
| 31410.e1 |
31410g4 |
31410.e |
31410g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$2.347435$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.33863$ |
$2$ |
$[1, -1, 1, -2096438, -1167357819]$ |
\(y^2+xy+y=x^3-x^2-2096438x-1167357819\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 2792.24.0.?, 8376.48.0.? |
$[ ]$ |
$1$ |
| 52350.q1 |
52350n4 |
52350.q |
52350n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2985984$ |
$2.602848$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.36972$ |
$2$ |
$[1, 0, 0, -5823438, 5406375492]$ |
\(y^2+xy=x^3-5823438x+5406375492\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 83760.w1 |
83760v4 |
83760.w |
83760v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 349^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8376$ |
$48$ |
$0$ |
$8.206242189$ |
$1$ |
|
$1$ |
$2985984$ |
$2.491276$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.02897$ |
$2$ |
$[0, 1, 0, -3727000, -2769555052]$ |
\(y^2=x^3+x^2-3727000x-2769555052\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 2792.24.0.?, 8376.48.0.? |
$[(-54361/7, 342210/7)]$ |
$1$ |
| 157050.n1 |
157050y4 |
157050.n |
157050y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 349^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$8.178205260$ |
$1$ |
|
$0$ |
$23887872$ |
$3.152153$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.42760$ |
$2$ |
$[1, -1, 0, -52410942, -145972138284]$ |
\(y^2+xy=x^3-x^2-52410942x-145972138284\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-2570684/25, 5691914/25)]$ |
$1$ |
| 251280.x1 |
251280x3 |
251280.x |
251280x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 349^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$23887872$ |
$3.040581$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.11476$ |
$1$ |
$[0, 0, 0, -33543003, 74744443402]$ |
\(y^2=x^3-33543003x+74744443402\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 2792.24.0.?, 8376.48.0.? |
$[ ]$ |
$1$ |
| 335040.q1 |
335040q4 |
335040.q |
335040q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$23887872$ |
$2.837849$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$4.80788$ |
$2$ |
$[0, -1, 0, -14908001, -22141532415]$ |
\(y^2=x^3-x^2-14908001x-22141532415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 335040.bh1 |
335040bh3 |
335040.bh |
335040bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.837849$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$4.80788$ |
$2$ |
$[0, 1, 0, -14908001, 22141532415]$ |
\(y^2=x^3+x^2-14908001x+22141532415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 418800.c1 |
418800c4 |
418800.c |
418800c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{8} \cdot 349^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$34.43383829$ |
$1$ |
|
$1$ |
$71663616$ |
$3.295994$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.14970$ |
$2$ |
$[0, -1, 0, -93175008, -346008031488]$ |
\(y^2=x^3-x^2-93175008x-346008031488\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-2921880646977211/718318, 309533792215504386629/718318)]$ |
$1$ |
