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 |
39270.cp6 |
39270cn2 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$4488$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$37158912$ |
$4.127731$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, 0, 0, -1054050116, -12046088636400]$ |
\(y^2+xy=x^3-1054050116x-12046088636400\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[]$ |
117810.bu6 |
117810bt2 |
117810.bu |
117810bt |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$4488$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$297271296$ |
$4.677040$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, -1, 0, -9486451044, 325244393182800]$ |
\(y^2+xy=x^3-x^2-9486451044x+325244393182800\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
196350.m6 |
196350fy2 |
196350.m |
196350fy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 11^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$891813888$ |
$4.932449$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, 1, 0, -26351252900, -1505761079550000]$ |
\(y^2+xy=x^3+x^2-26351252900x-1505761079550000\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$ |
$[]$ |
274890.en6 |
274890en2 |
274890.en |
274890en |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 11^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$31416$ |
$384$ |
$5$ |
$1.616981013$ |
$1$ |
|
$10$ |
$1783627776$ |
$5.100685$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, 1, 1, -51648455685, 4131756753829515]$ |
\(y^2+xy+y=x^3+x^2-51648455685x+4131756753829515\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 24.48.0.o.1, $\ldots$ |
$[(234023, 69608028)]$ |
314160.q6 |
314160q2 |
314160.q |
314160q |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{30} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$4488$ |
$384$ |
$5$ |
$8.615732079$ |
$1$ |
|
$5$ |
$891813888$ |
$4.820877$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[0, -1, 0, -16864801856, 770949672729600]$ |
\(y^2=x^3-x^2-16864801856x+770949672729600\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0-6.a.1.2, $\ldots$ |
$[(566338, 415771550)]$ |
431970.bn6 |
431970bn2 |
431970.bn |
431970bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 11^{12} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4488$ |
$384$ |
$5$ |
$16.34084464$ |
$1$ |
|
$2$ |
$4459069440$ |
$5.326683$ |
$129511249478743944259581330835009/12262789317997149185802240000$ |
$[1, 0, 1, -127540064039, 16033216434984362]$ |
\(y^2+xy+y=x^3-127540064039x+16033216434984362\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.1.21, $\ldots$ |
$[(11617152216/199, 488712056888671/199)]$ |