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 |
97020.l1 |
97020a1 |
97020.l |
97020a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4499712$ |
$2.848400$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.77862$ |
$[0, 0, 0, -84040488, 296538415012]$ |
\(y^2=x^3-84040488x+296538415012\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[]$ |
97020.t1 |
97020l2 |
97020.t |
97020l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$3.257297854$ |
$1$ |
|
$4$ |
$1928448$ |
$2.424751$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.33589$ |
$[0, 0, 0, -15436008, 23342674068]$ |
\(y^2=x^3-15436008x+23342674068\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2 |
$[(2269, 55), (8961/2, 18495/2)]$ |
97020.bq1 |
97020t1 |
97020.bq |
97020t |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$642816$ |
$1.875443$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$4.76183$ |
$[0, 0, 0, -1715112, -864543484]$ |
\(y^2=x^3-1715112x-864543484\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[]$ |
97020.cz1 |
97020q2 |
97020.cz |
97020q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$13499136$ |
$3.397705$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$6.35268$ |
$[0, 0, 0, -756364392, -8006537205324]$ |
\(y^2=x^3-756364392x-8006537205324\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |
388080.o1 |
388080o2 |
388080.o |
388080o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$11.32973191$ |
$1$ |
|
$0$ |
$7713792$ |
$2.424751$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$4.76108$ |
$[0, 0, 0, -15436008, -23342674068]$ |
\(y^2=x^3-15436008x-23342674068\) |
3.4.0.a.1, 6.8.0.b.1, 84.16.0.? |
$[(368554/9, 18183682/9)]$ |
388080.hg1 |
388080hg1 |
388080.hg |
388080hg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$19.72614614$ |
$1$ |
|
$0$ |
$17998848$ |
$2.848400$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.15613$ |
$[0, 0, 0, -84040488, -296538415012]$ |
\(y^2=x^3-84040488x-296538415012\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[(965168689/296, 8774039473065/296)]$ |
388080.ld1 |
388080ld2 |
388080.ld |
388080ld |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$3.741109418$ |
$1$ |
|
$2$ |
$53996544$ |
$3.397705$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.66834$ |
$[0, 0, 0, -756364392, 8006537205324]$ |
\(y^2=x^3-756364392x+8006537205324\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[(15850, 6182)]$ |
388080.me1 |
388080me1 |
388080.me |
388080me |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$0.706888895$ |
$1$ |
|
$2$ |
$2571264$ |
$1.875443$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$4.24887$ |
$[0, 0, 0, -1715112, 864543484]$ |
\(y^2=x^3-1715112x+864543484\) |
3.4.0.a.1, 6.8.0.b.1, 84.16.0.? |
$[(758, 90)]$ |
485100.k1 |
485100k1 |
485100.k |
485100k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107993088$ |
$3.653118$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.80584$ |
$[0, 0, 0, -2101012200, 37067301876500]$ |
\(y^2=x^3-2101012200x+37067301876500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[]$ |
485100.de1 |
485100de1 |
485100.de |
485100de |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$34.90466720$ |
$1$ |
|
$0$ |
$15427584$ |
$2.680161$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$4.91404$ |
$[0, 0, 0, -42877800, -108067935500]$ |
\(y^2=x^3-42877800x-108067935500\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(41282036911051745/185758, 8387550689651977777211025/185758)]$ |
485100.dz1 |
485100dz2 |
485100.dz |
485100dz |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$57.06021578$ |
$1$ |
|
$0$ |
$323979264$ |
$4.202423$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$6.30932$ |
$[0, 0, 0, -18909109800, -1000817150665500]$ |
\(y^2=x^3-18909109800x-1000817150665500\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(72414639883934108876983389/19967281795, 314086328024946117722111026723354552287/19967281795)]$ |
485100.il1 |
485100il2 |
485100.il |
485100il |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46282752$ |
$3.229469$ |
$-1647408715474378752/3025$ |
$1.04130$ |
$5.41753$ |
$[0, 0, 0, -385900200, 2917834258500]$ |
\(y^2=x^3-385900200x+2917834258500\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[]$ |