| 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 |
Manin constant |
| 15015.u1 |
15015i4 |
15015.u |
15015i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$8008$ |
$48$ |
$0$ |
$8.329058544$ |
$1$ |
|
$0$ |
$884736$ |
$2.869358$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.46556$ |
$[1, 0, 1, -20890559, 36746739857]$ |
\(y^2+xy+y=x^3-20890559x+36746739857\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(15255/2, 880913/2)]$ |
$1$ |
| 45045.k1 |
45045bf4 |
45045.k |
45045bf |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 7 \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$4.696794825$ |
$4$ |
$2$ |
$2$ |
$7077888$ |
$3.418663$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.41783$ |
$[1, -1, 1, -188015027, -992161976146]$ |
\(y^2+xy+y=x^3-x^2-188015027x-992161976146\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 132.12.0.?, 154.6.0.?, $\ldots$ |
$[(-7863, 781)]$ |
$1$ |
| 75075.n1 |
75075v4 |
75075.n |
75075v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 3^{4} \cdot 5^{10} \cdot 7 \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21233664$ |
$3.674076$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.39882$ |
$[1, 1, 1, -522263963, 4593342482156]$ |
\(y^2+xy+y=x^3+x^2-522263963x+4593342482156\) |
2.3.0.a.1, 4.6.0.c.1, 140.12.0.?, 154.6.0.?, 220.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 105105.bv1 |
105105bk4 |
105105.bv |
105105bk |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{7} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8008$ |
$48$ |
$0$ |
$6.563181392$ |
$1$ |
|
$0$ |
$42467328$ |
$3.842312$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.38721$ |
$[1, 1, 0, -1023637367, -12605155408404]$ |
\(y^2+xy=x^3+x^2-1023637367x-12605155408404\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 154.6.0.?, 308.24.0.?, 728.24.0.?, $\ldots$ |
$[(1118043/2, 1172962137/2)]$ |
$1$ |
| 165165.t1 |
165165p4 |
165165.t |
165165p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{7} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8008$ |
$48$ |
$0$ |
$5.366728175$ |
$1$ |
|
$0$ |
$106168320$ |
$4.068306$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.37264$ |
$[1, 0, 0, -2527757581, -48912438507580]$ |
\(y^2+xy=x^3-2527757581x-48912438507580\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 154.6.0.?, 308.24.0.?, 728.24.0.?, $\ldots$ |
$[(340031/2, 149433853/2)]$ |
$1$ |
| 195195.q1 |
195195d3 |
195195.q |
195195d |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 11 \cdot 13^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$8008$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$148635648$ |
$4.151833$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.36753$ |
$[1, 0, 0, -3530504390, 80736117970767]$ |
\(y^2+xy=x^3-3530504390x+80736117970767\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 154.6.0.?, 308.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 225225.dl1 |
225225cz4 |
225225.dl |
225225cz |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 3^{10} \cdot 5^{10} \cdot 7 \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$120120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$169869312$ |
$4.223381$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.36327$ |
$[1, -1, 0, -4700375667, -124024947393884]$ |
\(y^2+xy=x^3-x^2-4700375667x-124024947393884\) |
2.3.0.a.1, 4.6.0.c.1, 154.6.0.?, 308.12.0.?, 420.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 240240.bm1 |
240240bm4 |
240240.bm |
240240bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8008$ |
$48$ |
$0$ |
$19.59749785$ |
$1$ |
|
$1$ |
$56623104$ |
$3.562504$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$5.69001$ |
$[0, -1, 0, -334248936, -2351791350864]$ |
\(y^2=x^3-x^2-334248936x-2351791350864\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(582933290/79, 13781300340454/79)]$ |
$1$ |
| 315315.v1 |
315315v3 |
315315.v |
315315v |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{7} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$339738624$ |
$4.391617$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.35361$ |
$[1, -1, 1, -9212736308, 340329983290602]$ |
\(y^2+xy+y=x^3-x^2-9212736308x+340329983290602\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 154.6.0.?, 308.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 495495.dw1 |
495495dw3 |
495495.dw |
495495dw |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{4} \cdot 7 \cdot 11^{7} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$849346560$ |
$4.617607$ |
$1008263082603610603475953129/90818848068071248125$ |
$1.04868$ |
$6.34142$ |
$[1, -1, 0, -22749818229, 1320635839704660]$ |
\(y^2+xy=x^3-x^2-22749818229x+1320635839704660\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 154.6.0.?, 308.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
