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 |
33165.c2 |
33165e2 |
33165.c |
33165e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 67 \) |
\( - 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 67^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$1.233749507$ |
$1$ |
|
$2$ |
$135168$ |
$1.728632$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$4.20192$ |
$[1, -1, 1, 29602, -3648728]$ |
\(y^2+xy+y=x^3-x^2+29602x-3648728\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[(547, 12992)]$ |
33165.o2 |
33165h2 |
33165.o |
33165h |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 67 \) |
\( - 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 67^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$3.397229225$ |
$1$ |
|
$0$ |
$405504$ |
$2.277939$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$4.83517$ |
$[1, -1, 0, 266421, 98249228]$ |
\(y^2+xy=x^3-x^2+266421x+98249228\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[(16823/2, 2182787/2)]$ |
165825.j2 |
165825o2 |
165825.j |
165825o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 67 \) |
\( - 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 67^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$11.55745388$ |
$1$ |
|
$0$ |
$9732096$ |
$3.082657$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$4.99116$ |
$[1, -1, 1, 6660520, 12287814022]$ |
\(y^2+xy+y=x^3-x^2+6660520x+12287814022\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[(431111/7, 295909790/7)]$ |
165825.bh2 |
165825bk2 |
165825.bh |
165825bk |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 67 \) |
\( - 3^{3} \cdot 5^{8} \cdot 11^{2} \cdot 67^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3244032$ |
$2.533352$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$4.44271$ |
$[1, -1, 0, 740058, -455350909]$ |
\(y^2+xy=x^3-x^2+740058x-455350909\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[ ]$ |
364815.l2 |
364815l2 |
364815.l |
364815l |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{9} \cdot 5^{2} \cdot 11^{8} \cdot 67^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$48660480$ |
$3.476887$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$5.05327$ |
$[1, -1, 1, 32236918, -130866433244]$ |
\(y^2+xy+y=x^3-x^2+32236918x-130866433244\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[ ]$ |
364815.ba2 |
364815ba2 |
364815.ba |
364815ba |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{3} \cdot 5^{2} \cdot 11^{8} \cdot 67^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$804$ |
$12$ |
$0$ |
$8.242776318$ |
$1$ |
|
$0$ |
$16220160$ |
$2.927582$ |
$106251939163685853/273636606061225$ |
$1.03455$ |
$4.53858$ |
$[1, -1, 0, 3581880, 4845710975]$ |
\(y^2+xy=x^3-x^2+3581880x+4845710975\) |
2.3.0.a.1, 6.6.0.a.1, 268.6.0.?, 804.12.0.? |
$[(-16507/4, 491967/4)]$ |