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 |
405600.e1 |
405600e1 |
405600.e |
405600e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$6.691885426$ |
$1$ |
|
$2$ |
$4692480$ |
$2.027058$ |
$358066904/1594323$ |
$0.98593$ |
$3.67460$ |
$[0, -1, 0, 81792, 23267412]$ |
\(y^2=x^3-x^2+81792x+23267412\) |
120.2.0.? |
$[(1396, 53442)]$ |
405600.m1 |
405600m1 |
405600.m |
405600m |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$938496$ |
$1.222338$ |
$358066904/1594323$ |
$0.98593$ |
$2.92679$ |
$[0, -1, 0, 3272, -187448]$ |
\(y^2=x^3-x^2+3272x-187448\) |
120.2.0.? |
$[]$ |
405600.dj1 |
405600dj1 |
405600.dj |
405600dj |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$15.48350622$ |
$1$ |
|
$0$ |
$12200448$ |
$2.504810$ |
$358066904/1594323$ |
$0.98593$ |
$4.11858$ |
$[0, -1, 0, 552912, -409611528]$ |
\(y^2=x^3-x^2+552912x-409611528\) |
120.2.0.? |
$[(204092633/512, 2977595897315/512)]$ |
405600.dn1 |
405600dn1 |
405600.dn |
405600dn |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{9} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$61002240$ |
$3.309532$ |
$358066904/1594323$ |
$0.98593$ |
$4.86639$ |
$[0, -1, 0, 13822792, 51173795412]$ |
\(y^2=x^3-x^2+13822792x+51173795412\) |
120.2.0.? |
$[]$ |
405600.ds1 |
405600ds1 |
405600.ds |
405600ds |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{9} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$8.542948198$ |
$1$ |
|
$0$ |
$61002240$ |
$3.309532$ |
$358066904/1594323$ |
$0.98593$ |
$4.86639$ |
$[0, 1, 0, 13822792, -51173795412]$ |
\(y^2=x^3+x^2+13822792x-51173795412\) |
120.2.0.? |
$[(162337/8, 7491375/8)]$ |
405600.dw1 |
405600dw1 |
405600.dw |
405600dw |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{3} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.776118709$ |
$1$ |
|
$18$ |
$12200448$ |
$2.504810$ |
$358066904/1594323$ |
$0.98593$ |
$4.11858$ |
$[0, 1, 0, 552912, 409611528]$ |
\(y^2=x^3+x^2+552912x+409611528\) |
120.2.0.? |
$[(-282, 15210), (17286/5, 4188834/5)]$ |
405600.gt1 |
405600gt1 |
405600.gt |
405600gt |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.490609498$ |
$1$ |
|
$6$ |
$938496$ |
$1.222338$ |
$358066904/1594323$ |
$0.98593$ |
$2.92679$ |
$[0, 1, 0, 3272, 187448]$ |
\(y^2=x^3+x^2+3272x+187448\) |
120.2.0.? |
$[(14, 486)]$ |
405600.hb1 |
405600hb1 |
405600.hb |
405600hb |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4692480$ |
$2.027058$ |
$358066904/1594323$ |
$0.98593$ |
$3.67460$ |
$[0, 1, 0, 81792, -23267412]$ |
\(y^2=x^3+x^2+81792x-23267412\) |
120.2.0.? |
$[]$ |