| 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 |
| 75106.a1 |
75106b4 |
75106.a |
75106b |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2 \cdot 17^{6} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$5.993326672$ |
$1$ |
|
$0$ |
$1271808$ |
$2.104561$ |
$159661140625/48275138$ |
$1.06848$ |
$4.35546$ |
$[1, 0, 0, -249663, 33159175]$ |
\(y^2+xy=x^3-249663x+33159175\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(8617/8, 687743/8)]$ |
| 75106.a2 |
75106b3 |
75106.a |
75106b |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{2} \cdot 17^{3} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$2.996663336$ |
$1$ |
|
$1$ |
$635904$ |
$1.757988$ |
$120920208625/19652$ |
$0.98564$ |
$4.33070$ |
$[1, 0, 0, -227573, 41761021]$ |
\(y^2+xy=x^3-227573x+41761021\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(1535/2, 24973/2)]$ |
| 75106.a3 |
75106b2 |
75106.a |
75106b |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{3} \cdot 17^{2} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$1.997775557$ |
$1$ |
|
$6$ |
$423936$ |
$1.555256$ |
$8805624625/2312$ |
$0.96590$ |
$4.09735$ |
$[1, 0, 0, -95033, -11281487]$ |
\(y^2+xy=x^3-95033x-11281487\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(-176, 71)]$ |
| 75106.a4 |
75106b1 |
75106.a |
75106b |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{6} \cdot 17 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$0.998887778$ |
$1$ |
|
$9$ |
$211968$ |
$1.208681$ |
$3048625/1088$ |
$0.90010$ |
$3.38757$ |
$[1, 0, 0, -6673, -130455]$ |
\(y^2+xy=x^3-6673x-130455\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(278, 4279)]$ |
| 75106.b1 |
75106e4 |
75106.b |
75106e |
$4$ |
$4$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{2} \cdot 17^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6392$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1695744$ |
$2.323231$ |
$113499416527713/15701948$ |
$0.93615$ |
$4.94036$ |
$[1, -1, 1, -2228191, -1279486453]$ |
\(y^2+xy+y=x^3-x^2-2228191x-1279486453\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 136.24.0.?, 188.24.0.?, 6392.48.0.? |
$[]$ |
| 75106.b2 |
75106e3 |
75106.b |
75106e |
$4$ |
$4$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{2} \cdot 17 \cdot 47^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6392$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1695744$ |
$2.323231$ |
$7549145158113/331818308$ |
$1.03539$ |
$4.69894$ |
$[1, -1, 1, -902791, 317602875]$ |
\(y^2+xy+y=x^3-x^2-902791x+317602875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ |
$[]$ |
| 75106.b3 |
75106e2 |
75106.b |
75106e |
$4$ |
$4$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{4} \cdot 17^{2} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3196$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$847872$ |
$1.976658$ |
$35839079073/10214416$ |
$1.01492$ |
$4.22238$ |
$[1, -1, 1, -151731, -16168189]$ |
\(y^2+xy+y=x^3-x^2-151731x-16168189\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.b.1.3, 188.24.0.?, 3196.48.0.? |
$[]$ |
| 75106.b4 |
75106e1 |
75106.b |
75106e |
$4$ |
$4$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( - 2^{8} \cdot 17 \cdot 47^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6392$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$423936$ |
$1.630085$ |
$160103007/204544$ |
$0.82275$ |
$3.75721$ |
$[1, -1, 1, 24989, -1677149]$ |
\(y^2+xy+y=x^3-x^2+24989x-1677149\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 376.24.0.?, 1598.6.0.?, $\ldots$ |
$[]$ |
| 75106.c1 |
75106d2 |
75106.c |
75106d |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{6} \cdot 17^{4} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$6392$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8663040$ |
$3.086372$ |
$4169394057375/5345344$ |
$1.01945$ |
$5.67490$ |
$[1, -1, 1, -34813150, -78964816467]$ |
\(y^2+xy+y=x^3-x^2-34813150x-78964816467\) |
2.3.0.a.1, 4.12.0.f.1, 136.24.0.?, 188.24.0.?, 6392.48.1.? |
$[]$ |
| 75106.c2 |
75106d1 |
75106.c |
75106d |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( - 2^{12} \cdot 17^{2} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$6392$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4331520$ |
$2.739799$ |
$-397065375/1183744$ |
$1.10905$ |
$5.01197$ |
$[1, -1, 1, -1589790, -1913199955]$ |
\(y^2+xy+y=x^3-x^2-1589790x-1913199955\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.n.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 75106.d1 |
75106c2 |
75106.d |
75106c |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{6} \cdot 17^{4} \cdot 47^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$6392$ |
$48$ |
$1$ |
$1.259846522$ |
$1$ |
|
$14$ |
$184320$ |
$1.161301$ |
$4169394057375/5345344$ |
$1.01945$ |
$3.61722$ |
$[1, -1, 1, -15760, 764595]$ |
\(y^2+xy+y=x^3-x^2-15760x+764595\) |
2.3.0.a.1, 4.12.0.f.1, 136.24.0.?, 188.24.0.?, 6392.48.1.? |
$[(75, -21), (-35, 1145)]$ |
| 75106.d2 |
75106c1 |
75106.d |
75106c |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( - 2^{12} \cdot 17^{2} \cdot 47^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$6392$ |
$48$ |
$1$ |
$1.259846522$ |
$1$ |
|
$15$ |
$92160$ |
$0.814727$ |
$-397065375/1183744$ |
$1.10905$ |
$2.95429$ |
$[1, -1, 1, -720, 18611]$ |
\(y^2+xy+y=x^3-x^2-720x+18611\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.n.1, 94.6.0.?, $\ldots$ |
$[(37, 185), (-31, 117)]$ |
| 75106.e1 |
75106a2 |
75106.e |
75106a |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{5} \cdot 17^{2} \cdot 47^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$11.33050516$ |
$1$ |
|
$0$ |
$4239360$ |
$2.663666$ |
$95726216868625/45127289888$ |
$0.93421$ |
$4.92519$ |
$[1, 1, 1, -2105223, 505335773]$ |
\(y^2+xy+y=x^3+x^2-2105223x+505335773\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-91611/19, 220281574/19)]$ |
| 75106.e2 |
75106a1 |
75106.e |
75106a |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 47^{2} \) |
\( 2^{10} \cdot 17 \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$5.665252580$ |
$1$ |
|
$1$ |
$2119680$ |
$2.317093$ |
$55154061924625/38454272$ |
$0.90813$ |
$4.87608$ |
$[1, 1, 1, -1751783, 891150877]$ |
\(y^2+xy+y=x^3+x^2-1751783x+891150877\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(191785/9, 72124172/9)]$ |
