| 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 |
| 11271.a2 |
11271b2 |
11271.a |
11271b |
$2$ |
$2$ |
\( 3 \cdot 13 \cdot 17^{2} \) |
\( - 3^{24} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$24.79238115$ |
$1$ |
|
$0$ |
$2715648$ |
$3.457954$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$7.00216$ |
$[1, 1, 1, -49966950, -177740532324]$ |
\(y^2+xy+y=x^3+x^2-49966950x-177740532324\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[(3571968599865/11083, 6503567867968249214/11083)]$ |
| 11271.f2 |
11271e2 |
11271.f |
11271e |
$2$ |
$2$ |
\( 3 \cdot 13 \cdot 17^{2} \) |
\( - 3^{24} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$159744$ |
$2.041348$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$5.18016$ |
$[1, 0, 0, -172896, -36187767]$ |
\(y^2+xy=x^3-172896x-36187767\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 33813.f2 |
33813j2 |
33813.f |
33813j |
$2$ |
$2$ |
\( 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 3^{30} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1277952$ |
$2.590652$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$5.26653$ |
$[1, -1, 0, -1556064, 977069709]$ |
\(y^2+xy=x^3-x^2-1556064x+977069709\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 33813.o2 |
33813h2 |
33813.o |
33813h |
$2$ |
$2$ |
\( 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 3^{30} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$21725184$ |
$4.007263$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$6.89659$ |
$[1, -1, 0, -449702550, 4798544670193]$ |
\(y^2+xy=x^3-x^2-449702550x+4798544670193\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 146523.w2 |
146523bd2 |
146523.w |
146523bd |
$2$ |
$2$ |
\( 3 \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{24} \cdot 13^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$303.0114156$ |
$1$ |
|
$0$ |
$456228864$ |
$4.740433$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$6.78606$ |
$[1, 1, 0, -8444414553, -390453727442670]$ |
\(y^2+xy=x^3+x^2-8444414553x-390453727442670\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[(243559873581691125134811055914663990029849123979223868435561970106513994645642012813280358710712867424232226784210514308303319465765879/28063570955850373772984151244384912852700848340021876217086065750, 3599629041665645921103695625417528088398060371902128346643561705998572699844810475137227031753375324852959530017655732560746439274715436325603384849155869795066104288666703731553388357336176461551227117/28063570955850373772984151244384912852700848340021876217086065750)]$ |
| 146523.x2 |
146523r2 |
146523.x |
146523r |
$2$ |
$2$ |
\( 3 \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{24} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$26836992$ |
$3.323822$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$5.35694$ |
$[1, 0, 1, -29219428, -79475304673]$ |
\(y^2+xy+y=x^3-29219428x-79475304673\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 180336.bq2 |
180336bx2 |
180336.bq |
180336bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10223616$ |
$2.734493$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$4.68070$ |
$[0, -1, 0, -2766336, 2316017088]$ |
\(y^2=x^3-x^2-2766336x+2316017088\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 180336.bt2 |
180336a2 |
180336.bt |
180336a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$3.285629725$ |
$1$ |
|
$5$ |
$173801472$ |
$4.151100$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$6.08530$ |
$[0, 1, 0, -799471200, 11373795126324]$ |
\(y^2=x^3+x^2-799471200x+11373795126324\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[(25332, 2716254)]$ |
| 281775.bo2 |
281775bo2 |
281775.bo |
281775bo |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( - 3^{24} \cdot 5^{6} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12779520$ |
$2.846066$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$4.62093$ |
$[1, 1, 0, -4322400, -4523470875]$ |
\(y^2+xy=x^3+x^2-4322400x-4523470875\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 281775.cb2 |
281775cb2 |
281775.cb |
281775cb |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( - 3^{24} \cdot 5^{6} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$18.80198659$ |
$1$ |
|
$0$ |
$217251840$ |
$4.262672$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$5.97558$ |
$[1, 0, 1, -1249173751, -22215068192977]$ |
\(y^2+xy+y=x^3-1249173751x-22215068192977\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[(2748110053/236, 78840707584609/236)]$ |
| 439569.j2 |
439569j2 |
439569.j |
439569j |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{30} \cdot 13^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3649830912$ |
$5.289734$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$6.71960$ |
$[1, -1, 1, -75999730982, 10542174641221110]$ |
\(y^2+xy+y=x^3-x^2-75999730982x+10542174641221110\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 439569.bg2 |
439569bg2 |
439569.bg |
439569bg |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{30} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$214695936$ |
$3.873127$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$5.41131$ |
$[1, -1, 1, -262974848, 2145833226164]$ |
\(y^2+xy+y=x^3-x^2-262974848x+2145833226164\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
