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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
32760.a2 |
32760c1 |
32760.a |
32760c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.266093215$ |
$1$ |
|
$7$ |
$45056$ |
$0.902448$ |
$-44477724672/874680625$ |
$[0, 0, 0, -558, -30007]$ |
\(y^2=x^3-558x-30007\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(44, 175)]$ |
32760.bh2 |
32760z1 |
32760.bh |
32760z |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.892276401$ |
$1$ |
|
$7$ |
$135168$ |
$1.451754$ |
$-44477724672/874680625$ |
$[0, 0, 0, -5022, 810189]$ |
\(y^2=x^3-5022x+810189\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(78, 945)]$ |
65520.bz2 |
65520e1 |
65520.bz |
65520e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$90112$ |
$0.902448$ |
$-44477724672/874680625$ |
$[0, 0, 0, -558, 30007]$ |
\(y^2=x^3-558x+30007\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
65520.dk2 |
65520k1 |
65520.dk |
65520k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.973019236$ |
$1$ |
|
$3$ |
$270336$ |
$1.451754$ |
$-44477724672/874680625$ |
$[0, 0, 0, -5022, -810189]$ |
\(y^2=x^3-5022x-810189\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(787, 21970)]$ |
163800.cz2 |
163800cf1 |
163800.cz |
163800cf |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1081344$ |
$1.707167$ |
$-44477724672/874680625$ |
$[0, 0, 0, -13950, -3750875]$ |
\(y^2=x^3-13950x-3750875\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
163800.fg2 |
163800fa1 |
163800.fg |
163800fa |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.747921443$ |
$1$ |
|
$5$ |
$3244032$ |
$2.256474$ |
$-44477724672/874680625$ |
$[0, 0, 0, -125550, 101273625]$ |
\(y^2=x^3-125550x+101273625\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-204, 10881)]$ |
229320.cm2 |
229320cr1 |
229320.cm |
229320cr |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$2.424709$ |
$-44477724672/874680625$ |
$[0, 0, 0, -246078, -277894827]$ |
\(y^2=x^3-246078x-277894827\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
229320.cn2 |
229320ei1 |
229320.cn |
229320ei |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.745230302$ |
$1$ |
|
$23$ |
$2162688$ |
$1.875402$ |
$-44477724672/874680625$ |
$[0, 0, 0, -27342, 10292401]$ |
\(y^2=x^3-27342x+10292401\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-168, 3185), (92, 2925)]$ |
262080.f2 |
262080f1 |
262080.f |
262080f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.356902835$ |
$1$ |
|
$15$ |
$2162688$ |
$1.798328$ |
$-44477724672/874680625$ |
$[0, 0, 0, -20088, 6481512]$ |
\(y^2=x^3-20088x+6481512\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-14, 2600), (-114, 2700)]$ |
262080.ha2 |
262080ha1 |
262080.ha |
262080ha |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$1.798328$ |
$-44477724672/874680625$ |
$[0, 0, 0, -20088, -6481512]$ |
\(y^2=x^3-20088x-6481512\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
262080.ki2 |
262080ki1 |
262080.ki |
262080ki |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.974627359$ |
$1$ |
|
$9$ |
$720896$ |
$1.249022$ |
$-44477724672/874680625$ |
$[0, 0, 0, -2232, -240056]$ |
\(y^2=x^3-2232x-240056\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(113, 975)]$ |
262080.km2 |
262080km1 |
262080.km |
262080km |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.468835657$ |
$1$ |
|
$7$ |
$720896$ |
$1.249022$ |
$-44477724672/874680625$ |
$[0, 0, 0, -2232, 240056]$ |
\(y^2=x^3-2232x+240056\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(82, 780)]$ |
327600.k2 |
327600k1 |
327600.k |
327600k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$2.256474$ |
$-44477724672/874680625$ |
$[0, 0, 0, -125550, -101273625]$ |
\(y^2=x^3-125550x-101273625\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
327600.gm2 |
327600gm1 |
327600.gm |
327600gm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$1.707167$ |
$-44477724672/874680625$ |
$[0, 0, 0, -13950, 3750875]$ |
\(y^2=x^3-13950x+3750875\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
425880.bj2 |
425880bj1 |
425880.bj |
425880bj |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$22708224$ |
$2.734230$ |
$-44477724672/874680625$ |
$[0, 0, 0, -848718, 1779985233]$ |
\(y^2=x^3-848718x+1779985233\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
425880.fj2 |
425880fj1 |
425880.fj |
425880fj |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7569408$ |
$2.184921$ |
$-44477724672/874680625$ |
$[0, 0, 0, -94302, -65925379]$ |
\(y^2=x^3-94302x-65925379\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
458640.g2 |
458640g1 |
458640.g |
458640g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.024220457$ |
$1$ |
|
$3$ |
$12976128$ |
$2.424709$ |
$-44477724672/874680625$ |
$[0, 0, 0, -246078, 277894827]$ |
\(y^2=x^3-246078x+277894827\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(9051, 859950)]$ |
458640.og2 |
458640og1 |
458640.og |
458640og |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4325376$ |
$1.875402$ |
$-44477724672/874680625$ |
$[0, 0, 0, -27342, -10292401]$ |
\(y^2=x^3-27342x-10292401\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |