| 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.m2 |
3990n1 |
3990.m |
3990n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3024$ |
$0.432192$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.44196$ |
$[1, 0, 1, -134, -1834]$ |
\(y^2+xy+y=x^3-134x-1834\) |
3.8.0-3.a.1.2, 15960.16.0.? |
$[]$ |
| 11970.cg2 |
11970cj1 |
11970.cg |
11970cj |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2 \cdot 3^{15} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$0.981498$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.74124$ |
$[1, -1, 1, -1202, 49511]$ |
\(y^2+xy+y=x^3-x^2-1202x+49511\) |
3.8.0-3.a.1.1, 15960.16.0.? |
$[]$ |
| 19950.bx2 |
19950bt1 |
19950.bx |
19950bt |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$5.722257558$ |
$1$ |
|
$0$ |
$72576$ |
$1.236910$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.85778$ |
$[1, 1, 1, -3338, -229219]$ |
\(y^2+xy+y=x^3+x^2-3338x-229219\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 3192.8.0.?, 15960.16.0.? |
$[(1565/4, 36913/4)]$ |
| 27930.s2 |
27930o1 |
27930.s |
27930o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 7^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1.660062157$ |
$1$ |
|
$2$ |
$145152$ |
$1.405148$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.92819$ |
$[1, 1, 0, -6542, 622434]$ |
\(y^2+xy=x^3+x^2-6542x+622434\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 2280.8.0.?, 15960.16.0.? |
$[(-71, 893)]$ |
| 31920.c2 |
31920s1 |
31920.c |
31920s |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.125340$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.55385$ |
$[0, -1, 0, -2136, 117360]$ |
\(y^2=x^3-x^2-2136x+117360\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 15960.16.0.? |
$[]$ |
| 59850.h2 |
59850bn1 |
59850.h |
59850bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2 \cdot 3^{15} \cdot 5^{7} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1.131246793$ |
$1$ |
|
$4$ |
$580608$ |
$1.786217$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.07174$ |
$[1, -1, 0, -30042, 6158866]$ |
\(y^2+xy=x^3-x^2-30042x+6158866\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 3192.8.0.?, 15960.16.0.? |
$[(449, 8888)]$ |
| 75810.ce2 |
75810ce1 |
75810.ce |
75810ce |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1088640$ |
$1.904411$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.11231$ |
$[1, 1, 1, -48201, 12481293]$ |
\(y^2+xy+y=x^3+x^2-48201x+12481293\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 840.8.0.?, 15960.16.0.? |
$[]$ |
| 83790.cz2 |
83790dv1 |
83790.cz |
83790dv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{15} \cdot 5 \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.954453$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.12897$ |
$[1, -1, 1, -58883, -16864599]$ |
\(y^2+xy+y=x^3-x^2-58883x-16864599\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 2280.8.0.?, 15960.16.0.? |
$[]$ |
| 95760.eb2 |
95760el1 |
95760.eb |
95760el |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{15} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.674644$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.78816$ |
$[0, 0, 0, -19227, -3149494]$ |
\(y^2=x^3-19227x-3149494\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 15960.16.0.? |
$[]$ |
| 127680.cs2 |
127680bj1 |
127680.cs |
127680bj |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1.789270348$ |
$1$ |
|
$2$ |
$580608$ |
$1.471912$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.48855$ |
$[0, -1, 0, -8545, -930335]$ |
\(y^2=x^3-x^2-8545x-930335\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 3990.8.0.?, 15960.16.0.? |
$[(137, 672)]$ |
| 127680.fr2 |
127680ga1 |
127680.fr |
127680ga |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.550994607$ |
$1$ |
|
$6$ |
$580608$ |
$1.471912$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.48855$ |
$[0, 1, 0, -8545, 930335]$ |
\(y^2=x^3+x^2-8545x+930335\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 7980.8.0.?, 15960.16.0.? |
$[(23, 864)]$ |
| 139650.ja2 |
139650cj1 |
139650.ja |
139650cj |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3483648$ |
$2.209866$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.20965$ |
$[1, 0, 0, -163563, 78131367]$ |
\(y^2+xy=x^3-163563x+78131367\) |
3.4.0.a.1, 105.8.0.?, 456.8.0.?, 15960.16.0.? |
$[]$ |
| 159600.ft2 |
159600bb1 |
159600.ft |
159600bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 7^{3} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.119639617$ |
$1$ |
|
$36$ |
$1741824$ |
$1.930058$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.88247$ |
$[0, 1, 0, -53408, 14563188]$ |
\(y^2=x^3+x^2-53408x+14563188\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 3192.8.0.?, 15960.16.0.? |
$[(-62, 4200), (274, 4536)]$ |
| 223440.fv2 |
223440i1 |
223440.fv |
223440i |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3483648$ |
$2.098293$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.94031$ |
$[0, 1, 0, -104680, -40045132]$ |
\(y^2=x^3+x^2-104680x-40045132\) |
3.4.0.a.1, 84.8.0.?, 2280.8.0.?, 15960.16.0.? |
$[]$ |
| 227430.cm2 |
227430dh1 |
227430.cm |
227430dh |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{15} \cdot 5 \cdot 7^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$2.593580891$ |
$1$ |
|
$0$ |
$8709120$ |
$2.453716$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.28044$ |
$[1, -1, 0, -433809, -337428725]$ |
\(y^2+xy=x^3-x^2-433809x-337428725\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 840.8.0.?, 15960.16.0.? |
$[(7031/2, 519307/2)]$ |
| 379050.dp2 |
379050dp1 |
379050.dp |
379050dp |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5^{7} \cdot 7^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.916276383$ |
$1$ |
|
$4$ |
$26127360$ |
$2.709129$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.34882$ |
$[1, 0, 1, -1205026, 1562571698]$ |
\(y^2+xy+y=x^3-1205026x+1562571698\) |
3.4.0.a.1, 168.8.0.?, 285.8.0.?, 15960.16.0.? |
$[(1132, 40046)]$ |
| 383040.q2 |
383040q1 |
383040.q |
383040q |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{15} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.021217$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.70317$ |
$[0, 0, 0, -76908, -25195952]$ |
\(y^2=x^3-76908x-25195952\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 7980.8.0.?, 15960.16.0.? |
$[]$ |
| 383040.gl2 |
383040gl1 |
383040.gl |
383040gl |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{15} \cdot 5 \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1.271836922$ |
$1$ |
|
$2$ |
$4644864$ |
$2.021217$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.70317$ |
$[0, 0, 0, -76908, 25195952]$ |
\(y^2=x^3-76908x+25195952\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 3990.8.0.?, 15960.16.0.? |
$[(-11, 5103)]$ |
| 418950.cn2 |
418950cn1 |
418950.cn |
418950cn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{15} \cdot 5^{7} \cdot 7^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$4.787131530$ |
$1$ |
|
$2$ |
$27869184$ |
$2.759171$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.36159$ |
$[1, -1, 0, -1472067, -2109546909]$ |
\(y^2+xy=x^3-x^2-1472067x-2109546909\) |
3.4.0.a.1, 105.8.0.?, 456.8.0.?, 15960.16.0.? |
$[(1749, 24888)]$ |
| 478800.ng2 |
478800ng1 |
478800.ng |
478800ng |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{15} \cdot 5^{7} \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$2.479362$ |
$-263251475929/1282741110$ |
$0.91102$ |
$4.06034$ |
$[0, 0, 0, -480675, -393686750]$ |
\(y^2=x^3-480675x-393686750\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 3192.8.0.?, 15960.16.0.? |
$[]$ |
| 482790.gm2 |
482790gm1 |
482790.gm |
482790gm |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 7^{3} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$175560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4082400$ |
$1.631140$ |
$-263251475929/1282741110$ |
$0.91102$ |
$3.28001$ |
$[1, 0, 0, -16156, 2424566]$ |
\(y^2+xy=x^3-16156x+2424566\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 15960.8.0.?, 175560.16.0.? |
$[]$ |
