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 |
19950.bf1 |
19950bm1 |
19950.bf |
19950bm |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$228$ |
$16$ |
$0$ |
$0.234872289$ |
$1$ |
|
$20$ |
$518400$ |
$2.367443$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.50833$ |
$[1, 0, 1, -1632576, 805672798]$ |
\(y^2+xy+y=x^3-1632576x+805672798\) |
3.8.0-3.a.1.2, 228.16.0.? |
$[(773, 2007)]$ |
19950.bq1 |
19950bv1 |
19950.bq |
19950bv |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$0.449122154$ |
$1$ |
|
$6$ |
$103680$ |
$1.562723$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.53301$ |
$[1, 1, 1, -65303, 6419261]$ |
\(y^2+xy+y=x^3+x^2-65303x+6419261\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 228.8.0.?, 1140.16.0.? |
$[(101, 880)]$ |
59850.bk1 |
59850bl1 |
59850.bk |
59850bl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$1.164021290$ |
$1$ |
|
$4$ |
$829440$ |
$2.112030$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.67953$ |
$[1, -1, 0, -587727, -173907779]$ |
\(y^2+xy=x^3-x^2-587727x-173907779\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 228.8.0.?, 1140.16.0.? |
$[(1178, 27113)]$ |
59850.gj1 |
59850gp1 |
59850.gj |
59850gp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{8} \cdot 7^{4} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$228$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$2.916748$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.55743$ |
$[1, -1, 1, -14693180, -21753165553]$ |
\(y^2+xy+y=x^3-x^2-14693180x-21753165553\) |
3.8.0-3.a.1.1, 228.16.0.? |
$[]$ |
139650.s1 |
139650hs1 |
139650.s |
139650hs |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{10} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$46.23763162$ |
$1$ |
|
$0$ |
$24883200$ |
$3.340397$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.58909$ |
$[1, 1, 0, -79996200, -276425766000]$ |
\(y^2+xy=x^3+x^2-79996200x-276425766000\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 228.8.0.?, 1596.16.0.? |
$[(1403505211743974630716/233831665, 48661656775229186100566875730944/233831665)]$ |
139650.hm1 |
139650bj1 |
139650.hm |
139650bj |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.535679$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.77397$ |
$[1, 0, 0, -3199848, -2211406128]$ |
\(y^2+xy=x^3-3199848x-2211406128\) |
3.4.0.a.1, 105.8.0.?, 228.8.0.?, 7980.16.0.? |
$[]$ |
159600.bi1 |
159600dq1 |
159600.bi |
159600dq |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$13.85249021$ |
$1$ |
|
$0$ |
$12441600$ |
$3.060589$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.24653$ |
$[0, -1, 0, -26121208, -51563059088]$ |
\(y^2=x^3-x^2-26121208x-51563059088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 114.8.0.?, 228.16.0.? |
$[(89126202/109, 541085334650/109)]$ |
159600.gs1 |
159600bl1 |
159600.gs |
159600bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.255871$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.44049$ |
$[0, 1, 0, -1044848, -412922412]$ |
\(y^2=x^3+x^2-1044848x-412922412\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 228.8.0.?, 570.8.0.?, 1140.16.0.? |
$[]$ |
379050.ct1 |
379050ct1 |
379050.ct |
379050ct |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$0.997586181$ |
$1$ |
|
$4$ |
$37324800$ |
$3.034943$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.86927$ |
$[1, 0, 1, -23574391, -44218307542]$ |
\(y^2+xy+y=x^3-23574391x-44218307542\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 228.8.0.?, 285.8.0.?, 1140.16.0.? |
$[(33451, 6032912)]$ |
379050.gz1 |
379050gz1 |
379050.gz |
379050gz |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$4.221346292$ |
$1$ |
|
$2$ |
$186624000$ |
$3.839661$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.62103$ |
$[1, 1, 1, -589359763, -5527288442719]$ |
\(y^2+xy+y=x^3+x^2-589359763x-5527288442719\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 57.8.0-3.a.1.1, 228.16.0.? |
$[(71229, 17681182)]$ |
418950.gw1 |
418950gw1 |
418950.gw |
418950gw |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{2} \cdot 7^{10} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$5.181623632$ |
$1$ |
|
$2$ |
$39813120$ |
$3.084984$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.87801$ |
$[1, -1, 0, -28798632, 59707965456]$ |
\(y^2+xy=x^3-x^2-28798632x+59707965456\) |
3.4.0.a.1, 105.8.0.?, 228.8.0.?, 7980.16.0.? |
$[(2368, 68004)]$ |
418950.pl1 |
418950pl1 |
418950.pl |
418950pl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{8} \cdot 7^{10} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$2.821380246$ |
$1$ |
|
$0$ |
$199065600$ |
$3.889702$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.62396$ |
$[1, -1, 1, -719965805, 7462775716197]$ |
\(y^2+xy+y=x^3-x^2-719965805x+7462775716197\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 228.8.0.?, 1596.16.0.? |
$[(64751/2, 1721295/2)]$ |
478800.bl1 |
478800bl1 |
478800.bl |
478800bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{15} \cdot 5^{8} \cdot 7^{4} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$99532800$ |
$3.609898$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$5.30982$ |
$[0, 0, 0, -235090875, 1392437686250]$ |
\(y^2=x^3-235090875x+1392437686250\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 114.8.0.?, 228.16.0.? |
$[]$ |
478800.jt1 |
478800jt1 |
478800.jt |
478800jt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{16} \cdot 3^{15} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19906560$ |
$2.805176$ |
$-1231922871794037145/5186378855952$ |
$1.04400$ |
$4.57149$ |
$[0, 0, 0, -9403635, 11139501490]$ |
\(y^2=x^3-9403635x+11139501490\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 228.8.0.?, 570.8.0.?, 1140.16.0.? |
$[]$ |