| 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 |
| 16184.a1 |
16184c1 |
16184.a |
16184c |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$6.553115200$ |
$1$ |
|
$2$ |
$51408$ |
$1.519531$ |
$-299944192/343$ |
$0.85509$ |
$4.63892$ |
$[0, 1, 0, -67144, -6725715]$ |
\(y^2=x^3+x^2-67144x-6725715\) |
14.2.0.a.1 |
$[(842, 23117)]$ |
| 16184.f1 |
16184e1 |
16184.f |
16184e |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$2.150937513$ |
$1$ |
|
$2$ |
$3024$ |
$0.102925$ |
$-299944192/343$ |
$0.85509$ |
$2.88493$ |
$[0, -1, 0, -232, -1287]$ |
\(y^2=x^3-x^2-232x-1287\) |
14.2.0.a.1 |
$[(36, 189)]$ |
| 32368.g1 |
32368b1 |
32368.g |
32368b |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.432124414$ |
$1$ |
|
$2$ |
$6048$ |
$0.102925$ |
$-299944192/343$ |
$0.85509$ |
$2.69237$ |
$[0, 1, 0, -232, 1287]$ |
\(y^2=x^3+x^2-232x+1287\) |
14.2.0.a.1 |
$[(9, 3)]$ |
| 32368.be1 |
32368f1 |
32368.be |
32368f |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$3.630306055$ |
$1$ |
|
$2$ |
$102816$ |
$1.519531$ |
$-299944192/343$ |
$0.85509$ |
$4.32929$ |
$[0, -1, 0, -67144, 6725715]$ |
\(y^2=x^3-x^2-67144x+6725715\) |
14.2.0.a.1 |
$[(87, 1239)]$ |
| 113288.d1 |
113288y1 |
113288.d |
113288y |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.045017994$ |
$1$ |
|
$4$ |
$145152$ |
$1.075880$ |
$-299944192/343$ |
$0.85509$ |
$3.40579$ |
$[0, 1, 0, -11384, 464197]$ |
\(y^2=x^3+x^2-11384x+464197\) |
14.2.0.a.1 |
$[(58, 49)]$ |
| 113288.ba1 |
113288bd1 |
113288.ba |
113288bd |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2467584$ |
$2.492485$ |
$-299944192/343$ |
$0.85509$ |
$4.86650$ |
$[0, -1, 0, -3290072, 2300340113]$ |
\(y^2=x^3-x^2-3290072x+2300340113\) |
14.2.0.a.1 |
$[]$ |
| 129472.n1 |
129472bf1 |
129472.n |
129472bf |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.449498$ |
$-299944192/343$ |
$0.85509$ |
$2.72860$ |
$[0, 1, 0, -929, -11225]$ |
\(y^2=x^3+x^2-929x-11225\) |
14.2.0.a.1 |
$[]$ |
| 129472.u1 |
129472dt1 |
129472.u |
129472dt |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$822528$ |
$1.866104$ |
$-299944192/343$ |
$0.85509$ |
$4.17274$ |
$[0, 1, 0, -268577, 53537143]$ |
\(y^2=x^3+x^2-268577x+53537143\) |
14.2.0.a.1 |
$[]$ |
| 129472.dc1 |
129472cd1 |
129472.dc |
129472cd |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.449498$ |
$-299944192/343$ |
$0.85509$ |
$2.72860$ |
$[0, -1, 0, -929, 11225]$ |
\(y^2=x^3-x^2-929x+11225\) |
14.2.0.a.1 |
$[]$ |
| 129472.dj1 |
129472u1 |
129472.dj |
129472u |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$822528$ |
$1.866104$ |
$-299944192/343$ |
$0.85509$ |
$4.17274$ |
$[0, -1, 0, -268577, -53537143]$ |
\(y^2=x^3-x^2-268577x-53537143\) |
14.2.0.a.1 |
$[]$ |
| 145656.j1 |
145656ba1 |
145656.j |
145656ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.265453371$ |
$1$ |
|
$6$ |
$72576$ |
$0.652231$ |
$-299944192/343$ |
$0.85509$ |
$2.90620$ |
$[0, 0, 0, -2091, 36839]$ |
\(y^2=x^3-2091x+36839\) |
14.2.0.a.1 |
$[(19, 63)]$ |
| 145656.bd1 |
145656bl1 |
145656.bd |
145656bl |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.575222347$ |
$1$ |
|
$2$ |
$1233792$ |
$2.068836$ |
$-299944192/343$ |
$0.85509$ |
$4.33603$ |
$[0, 0, 0, -604299, 180990007]$ |
\(y^2=x^3-604299x+180990007\) |
14.2.0.a.1 |
$[(-289, 18207)]$ |
| 226576.s1 |
226576cr1 |
226576.s |
226576cr |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$16.89073174$ |
$1$ |
|
$0$ |
$4935168$ |
$2.492485$ |
$-299944192/343$ |
$0.85509$ |
$4.59294$ |
$[0, 1, 0, -3290072, -2300340113]$ |
\(y^2=x^3+x^2-3290072x-2300340113\) |
14.2.0.a.1 |
$[(4650736841/1373, 175631709476391/1373)]$ |
| 226576.cx1 |
226576dk1 |
226576.cx |
226576dk |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{9} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$1.075880$ |
$-299944192/343$ |
$0.85509$ |
$3.21434$ |
$[0, -1, 0, -11384, -464197]$ |
\(y^2=x^3-x^2-11384x-464197\) |
14.2.0.a.1 |
$[]$ |
| 291312.bf1 |
291312bf1 |
291312.bf |
291312bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$0.652231$ |
$-299944192/343$ |
$0.85509$ |
$2.74609$ |
$[0, 0, 0, -2091, -36839]$ |
\(y^2=x^3-2091x-36839\) |
14.2.0.a.1 |
$[]$ |
| 291312.ev1 |
291312ev1 |
291312.ev |
291312ev |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2467584$ |
$2.068836$ |
$-299944192/343$ |
$0.85509$ |
$4.09716$ |
$[0, 0, 0, -604299, -180990007]$ |
\(y^2=x^3-604299x-180990007\) |
14.2.0.a.1 |
$[]$ |
| 404600.f1 |
404600f1 |
404600.f |
404600f |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$2.929394938$ |
$1$ |
|
$2$ |
$387072$ |
$0.907643$ |
$-299944192/343$ |
$0.85509$ |
$2.91362$ |
$[0, 1, 0, -5808, -172487]$ |
\(y^2=x^3+x^2-5808x-172487\) |
14.2.0.a.1 |
$[(88, 75)]$ |
| 404600.bv1 |
404600bv1 |
404600.bv |
404600bv |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$5.868441619$ |
$1$ |
|
$2$ |
$6580224$ |
$2.324249$ |
$-299944192/343$ |
$0.85509$ |
$4.23030$ |
$[0, -1, 0, -1678608, -837357163]$ |
\(y^2=x^3-x^2-1678608x-837357163\) |
14.2.0.a.1 |
$[(399302, 252318675)]$ |
