| 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 |
| 19950.b1 |
19950o2 |
19950.b |
19950o |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{8} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$120000$ |
$1.567665$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.27209$ |
$[1, 1, 0, -18200, 1764000]$ |
\(y^2+xy=x^3+x^2-18200x+1764000\) |
5.24.0-5.a.1.1, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 19950.da2 |
19950cv1 |
19950.da |
19950cv |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{2} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$24000$ |
$0.762946$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.29677$ |
$[1, 0, 0, -728, 14112]$ |
\(y^2+xy=x^3-728x+14112\) |
5.24.0-5.a.1.2, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 59850.dg2 |
59850cc1 |
59850.dg |
59850cc |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.042499834$ |
$1$ |
|
$4$ |
$192000$ |
$1.312252$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.56676$ |
$[1, -1, 0, -6552, -381024]$ |
\(y^2+xy=x^3-x^2-6552x-381024\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 3192.2.0.?, 5320.24.0.?, 15960.48.1.? |
$[(105, 231)]$ |
| 59850.eo1 |
59850fv2 |
59850.eo |
59850fv |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{8} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$960000$ |
$2.116970$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.44467$ |
$[1, -1, 1, -163805, -47791803]$ |
\(y^2+xy+y=x^3-x^2-163805x-47791803\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 3192.2.0.?, 5320.24.0.?, 15960.48.1.? |
$[]$ |
| 139650.cz1 |
139650fn2 |
139650.cz |
139650fn |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{8} \cdot 7^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.424333547$ |
$1$ |
|
$2$ |
$5760000$ |
$2.540619$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.55591$ |
$[1, 0, 1, -891826, -607727452]$ |
\(y^2+xy+y=x^3-891826x-607727452\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 2280.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[(2202, 88936)]$ |
| 139650.ex2 |
139650dw1 |
139650.ex |
139650dw |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{2} \cdot 7^{11} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152000$ |
$1.735901$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.74079$ |
$[1, 1, 1, -35673, -4876089]$ |
\(y^2+xy+y=x^3+x^2-35673x-4876089\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 2280.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 159600.bk2 |
159600ev1 |
159600.bk |
159600ev |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{5} \cdot 5^{2} \cdot 7^{5} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$7.555512296$ |
$1$ |
|
$0$ |
$576000$ |
$1.456093$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.41883$ |
$[0, -1, 0, -11648, -903168]$ |
\(y^2=x^3-x^2-11648x-903168\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 3192.2.0.?, 15960.48.1.? |
$[(16416/5, 2069664/5)]$ |
| 159600.gq1 |
159600f2 |
159600.gq |
159600f |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{5} \cdot 5^{8} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2880000$ |
$2.260811$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.22486$ |
$[0, 1, 0, -291208, -113478412]$ |
\(y^2=x^3+x^2-291208x-113478412\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 379050.bi2 |
379050bi1 |
379050.bi |
379050bi |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{2} \cdot 7^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.911634306$ |
$1$ |
|
$2$ |
$8640000$ |
$2.235165$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.91641$ |
$[1, 1, 0, -262815, -97319835]$ |
\(y^2+xy=x^3+x^2-262815x-97319835\) |
5.12.0.a.1, 95.24.0.?, 840.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[(929, 21015)]$ |
| 379050.if1 |
379050if2 |
379050.if |
379050if |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{8} \cdot 7^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$3.586465777$ |
$1$ |
|
$2$ |
$43200000$ |
$3.039883$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.66816$ |
$[1, 0, 0, -6570388, -12151838608]$ |
\(y^2+xy=x^3-6570388x-12151838608\) |
5.12.0.a.1, 95.24.0.?, 840.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[(4286, 193880)]$ |
| 418950.gv2 |
418950gv1 |
418950.gv |
418950gv |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 7^{11} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9216000$ |
$2.285206$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.93252$ |
$[1, -1, 0, -321057, 131333341]$ |
\(y^2+xy=x^3-x^2-321057x+131333341\) |
5.12.0.a.1, 105.24.0.?, 760.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 418950.pm1 |
418950pm2 |
418950.pm |
418950pm |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{8} \cdot 7^{11} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$46080000$ |
$3.089928$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.67846$ |
$[1, -1, 1, -8026430, 16408641197]$ |
\(y^2+xy+y=x^3-x^2-8026430x+16408641197\) |
5.12.0.a.1, 105.24.0.?, 760.24.0.?, 3192.2.0.?, 15960.48.1.? |
$[]$ |
| 478800.by2 |
478800by1 |
478800.by |
478800by |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4608000$ |
$2.005398$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$3.63564$ |
$[0, 0, 0, -104835, 24490370]$ |
\(y^2=x^3-104835x+24490370\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 3192.2.0.?, 5320.24.0.?, 15960.48.1.? |
$[]$ |
| 478800.jf1 |
478800jf2 |
478800.jf |
478800jf |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{11} \cdot 5^{8} \cdot 7^{5} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$0.525360935$ |
$1$ |
|
$24$ |
$23040000$ |
$2.810120$ |
$-1706927698345/2483133408$ |
$0.92364$ |
$4.37397$ |
$[0, 0, 0, -2620875, 3061296250]$ |
\(y^2=x^3-2620875x+3061296250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 3192.2.0.?, 5320.24.0.?, 15960.48.1.? |
$[(3575, 198450), (1125, 39200)]$ |
