| 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 |
| 5100.c1 |
5100c1 |
5100.c |
5100c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.487001$ |
$-11237785600/7803$ |
$1.01679$ |
$5.24579$ |
$[0, -1, 0, -63333, 6159537]$ |
\(y^2=x^3-x^2-63333x+6159537\) |
6.2.0.a.1 |
$[]$ |
| 5100.r1 |
5100q1 |
5100.r |
5100q |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.167072495$ |
$1$ |
|
$8$ |
$3456$ |
$0.682281$ |
$-11237785600/7803$ |
$1.01679$ |
$4.11464$ |
$[0, 1, 0, -2533, 48263]$ |
\(y^2=x^3+x^2-2533x+48263\) |
6.2.0.a.1 |
$[(17, 102)]$ |
| 15300.m1 |
15300u1 |
15300.m |
15300u |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$2.036308$ |
$-11237785600/7803$ |
$1.01679$ |
$5.33178$ |
$[0, 0, 0, -570000, -165737500]$ |
\(y^2=x^3-570000x-165737500\) |
6.2.0.a.1 |
$[]$ |
| 15300.y1 |
15300bb1 |
15300.y |
15300bb |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.231588$ |
$-11237785600/7803$ |
$1.01679$ |
$4.32960$ |
$[0, 0, 0, -22800, -1325900]$ |
\(y^2=x^3-22800x-1325900\) |
6.2.0.a.1 |
$[]$ |
| 20400.s1 |
20400co1 |
20400.s |
20400co |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.682281$ |
$-11237785600/7803$ |
$1.01679$ |
$3.53982$ |
$[0, -1, 0, -2533, -48263]$ |
\(y^2=x^3-x^2-2533x-48263\) |
6.2.0.a.1 |
$[]$ |
| 20400.dj1 |
20400da1 |
20400.dj |
20400da |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.807660518$ |
$1$ |
|
$2$ |
$69120$ |
$1.487001$ |
$-11237785600/7803$ |
$1.01679$ |
$4.51295$ |
$[0, 1, 0, -63333, -6159537]$ |
\(y^2=x^3+x^2-63333x-6159537\) |
6.2.0.a.1 |
$[(627, 14178)]$ |
| 61200.ct1 |
61200go1 |
61200.ct |
61200go |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.233112762$ |
$1$ |
|
$20$ |
$110592$ |
$1.231588$ |
$-11237785600/7803$ |
$1.01679$ |
$3.78504$ |
$[0, 0, 0, -22800, 1325900]$ |
\(y^2=x^3-22800x+1325900\) |
6.2.0.a.1 |
$[(70, 270), (205, 2295)]$ |
| 61200.ew1 |
61200fk1 |
61200.ew |
61200fk |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$2.036308$ |
$-11237785600/7803$ |
$1.01679$ |
$4.66117$ |
$[0, 0, 0, -570000, 165737500]$ |
\(y^2=x^3-570000x+165737500\) |
6.2.0.a.1 |
$[]$ |
| 81600.dg1 |
81600fj1 |
81600.dg |
81600fj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.833574$ |
$-11237785600/7803$ |
$1.01679$ |
$4.32750$ |
$[0, -1, 0, -253333, -49022963]$ |
\(y^2=x^3-x^2-253333x-49022963\) |
6.2.0.a.1 |
$[]$ |
| 81600.dn1 |
81600by1 |
81600.dn |
81600by |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.912044178$ |
$1$ |
|
$4$ |
$110592$ |
$1.028854$ |
$-11237785600/7803$ |
$1.01679$ |
$3.47365$ |
$[0, -1, 0, -10133, 396237]$ |
\(y^2=x^3-x^2-10133x+396237\) |
6.2.0.a.1 |
$[(52, 85)]$ |
| 81600.go1 |
81600jr1 |
81600.go |
81600jr |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.951119094$ |
$1$ |
|
$2$ |
$110592$ |
$1.028854$ |
$-11237785600/7803$ |
$1.01679$ |
$3.47365$ |
$[0, 1, 0, -10133, -396237]$ |
\(y^2=x^3+x^2-10133x-396237\) |
6.2.0.a.1 |
$[(118, 255)]$ |
| 81600.gv1 |
81600ct1 |
81600.gv |
81600ct |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.833574$ |
$-11237785600/7803$ |
$1.01679$ |
$4.32750$ |
$[0, 1, 0, -253333, 49022963]$ |
\(y^2=x^3+x^2-253333x+49022963\) |
6.2.0.a.1 |
$[]$ |
| 86700.h1 |
86700u1 |
86700.h |
86700u |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.838172825$ |
$1$ |
|
$4$ |
$995328$ |
$2.098888$ |
$-11237785600/7803$ |
$1.01679$ |
$4.58443$ |
$[0, -1, 0, -732133, 241508737]$ |
\(y^2=x^3-x^2-732133x+241508737\) |
6.2.0.a.1 |
$[(567, 2890)]$ |
| 86700.bw1 |
86700bg1 |
86700.bw |
86700bg |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$9.406238467$ |
$1$ |
|
$0$ |
$4976640$ |
$2.903606$ |
$-11237785600/7803$ |
$1.01679$ |
$5.43372$ |
$[0, 1, 0, -18303333, 30151985463]$ |
\(y^2=x^3+x^2-18303333x+30151985463\) |
6.2.0.a.1 |
$[(462786/7, 286941453/7)]$ |
| 244800.gw1 |
244800gw1 |
244800.gw |
244800gw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$21.36517602$ |
$1$ |
|
$0$ |
$4423680$ |
$2.382881$ |
$-11237785600/7803$ |
$1.01679$ |
$4.47558$ |
$[0, 0, 0, -2280000, -1325900000]$ |
\(y^2=x^3-2280000x-1325900000\) |
6.2.0.a.1 |
$[(20938640489/1715, 2955221126375013/1715)]$ |
| 244800.hn1 |
244800hn1 |
244800.hn |
244800hn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.578161$ |
$-11237785600/7803$ |
$1.01679$ |
$3.69733$ |
$[0, 0, 0, -91200, 10607200]$ |
\(y^2=x^3-91200x+10607200\) |
6.2.0.a.1 |
$[]$ |
| 244800.lv1 |
244800lv1 |
244800.lv |
244800lv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$8.229629265$ |
$1$ |
|
$0$ |
$884736$ |
$1.578161$ |
$-11237785600/7803$ |
$1.01679$ |
$3.69733$ |
$[0, 0, 0, -91200, -10607200]$ |
\(y^2=x^3-91200x-10607200\) |
6.2.0.a.1 |
$[(71569/14, 5997753/14)]$ |
| 244800.mk1 |
244800mk1 |
244800.mk |
244800mk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$2.382881$ |
$-11237785600/7803$ |
$1.01679$ |
$4.47558$ |
$[0, 0, 0, -2280000, 1325900000]$ |
\(y^2=x^3-2280000x+1325900000\) |
6.2.0.a.1 |
$[]$ |
| 249900.ba1 |
249900ba1 |
249900.ba |
249900ba |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1306368$ |
$1.655237$ |
$-11237785600/7803$ |
$1.01679$ |
$3.76562$ |
$[0, -1, 0, -124133, -16802463]$ |
\(y^2=x^3-x^2-124133x-16802463\) |
6.2.0.a.1 |
$[]$ |
| 249900.dk1 |
249900dk1 |
249900.dk |
249900dk |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$27.21541601$ |
$1$ |
|
$0$ |
$6531840$ |
$2.459957$ |
$-11237785600/7803$ |
$1.01679$ |
$4.54257$ |
$[0, 1, 0, -3103333, -2106514537]$ |
\(y^2=x^3+x^2-3103333x-2106514537\) |
6.2.0.a.1 |
$[(4925434482506/26867, 10523852195612735253/26867)]$ |
| 260100.bj1 |
260100bj1 |
260100.bj |
260100bj |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.648193$ |
$-11237785600/7803$ |
$1.01679$ |
$4.70916$ |
$[0, 0, 0, -6589200, -6514146700]$ |
\(y^2=x^3-6589200x-6514146700\) |
6.2.0.a.1 |
$[]$ |
| 260100.cq1 |
260100cq1 |
260100.cq |
260100cq |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$33.04541845$ |
$1$ |
|
$0$ |
$39813120$ |
$3.452915$ |
$-11237785600/7803$ |
$1.01679$ |
$5.48362$ |
$[0, 0, 0, -164730000, -814268337500]$ |
\(y^2=x^3-164730000x-814268337500\) |
6.2.0.a.1 |
$[(28491093348507284/224915, 4807838677036968125388702/224915)]$ |
| 346800.ce1 |
346800ce1 |
346800.ce |
346800ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$19906560$ |
$2.903606$ |
$-11237785600/7803$ |
$1.01679$ |
$4.84322$ |
$[0, -1, 0, -18303333, -30151985463]$ |
\(y^2=x^3-x^2-18303333x-30151985463\) |
6.2.0.a.1 |
$[]$ |
| 346800.jm1 |
346800jm1 |
346800.jm |
346800jm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3981312$ |
$2.098888$ |
$-11237785600/7803$ |
$1.01679$ |
$4.08623$ |
$[0, 1, 0, -732133, -241508737]$ |
\(y^2=x^3+x^2-732133x-241508737\) |
6.2.0.a.1 |
$[]$ |
