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 |
15162.h2 |
15162h2 |
15162.h |
15162h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$0.302064470$ |
$1$ |
|
$4$ |
$19440$ |
$0.842649$ |
$323648023823/484243284$ |
$[1, 1, 0, 1019, 16177]$ |
\(y^2+xy=x^3+x^2+1019x+16177\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 84.8.0.?, 1596.16.0.? |
$[(-12, 55)]$ |
15162.bf2 |
15162bf2 |
15162.bf |
15162bf |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 7^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$369360$ |
$2.314869$ |
$323648023823/484243284$ |
$[1, 0, 0, 367671, -108016179]$ |
\(y^2+xy=x^3+367671x-108016179\) |
3.8.0-3.a.1.1, 84.16.0.? |
$[]$ |
45486.b2 |
45486o2 |
45486.b |
45486o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$84$ |
$16$ |
$0$ |
$3.246227027$ |
$1$ |
|
$6$ |
$2954880$ |
$2.864174$ |
$323648023823/484243284$ |
$[1, -1, 0, 3309039, 2916436833]$ |
\(y^2+xy=x^3-x^2+3309039x+2916436833\) |
3.8.0-3.a.1.2, 84.16.0.? |
$[(4044, 285069)]$ |
45486.x2 |
45486bo2 |
45486.x |
45486bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$0.339579980$ |
$1$ |
|
$4$ |
$155520$ |
$1.391954$ |
$323648023823/484243284$ |
$[1, -1, 1, 9166, -427611]$ |
\(y^2+xy+y=x^3-x^2+9166x-427611\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 84.8.0.?, 1596.16.0.? |
$[(329, 6009)]$ |
106134.t2 |
106134bk2 |
106134.t |
106134bk |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 7^{15} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$5.290910949$ |
$1$ |
|
$4$ |
$933120$ |
$1.815603$ |
$323648023823/484243284$ |
$[1, 0, 1, 49905, -5398970]$ |
\(y^2+xy+y=x^3+49905x-5398970\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.? |
$[(2101/3, 114484/3), (193, 3284)]$ |
106134.bn2 |
106134ca2 |
106134.bn |
106134ca |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 7^{15} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$10.84874494$ |
$1$ |
|
$0$ |
$17729280$ |
$3.287823$ |
$323648023823/484243284$ |
$[1, 1, 1, 18015878, 37067565275]$ |
\(y^2+xy+y=x^3+x^2+18015878x+37067565275\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 21.8.0-3.a.1.2, 84.16.0.? |
$[(-8678273/74, 27622285131/74)]$ |
121296.br2 |
121296bt2 |
121296.br |
121296bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{14} \cdot 3 \cdot 7^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$8864640$ |
$3.008015$ |
$323648023823/484243284$ |
$[0, -1, 0, 5882736, 6913035456]$ |
\(y^2=x^3-x^2+5882736x+6913035456\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 42.8.0-3.a.1.2, 84.16.0.? |
$[]$ |
121296.dk2 |
121296ct2 |
121296.dk |
121296ct |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{14} \cdot 3 \cdot 7^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$466560$ |
$1.535795$ |
$323648023823/484243284$ |
$[0, 1, 0, 16296, -1002732]$ |
\(y^2=x^3+x^2+16296x-1002732\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.? |
$[]$ |
318402.cl2 |
318402cl2 |
318402.cl |
318402cl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 7^{15} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$9.709856250$ |
$1$ |
|
$0$ |
$141834240$ |
$3.837128$ |
$323648023823/484243284$ |
$[1, -1, 0, 162142902, -1000662119528]$ |
\(y^2+xy=x^3-x^2+162142902x-1000662119528\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 21.8.0-3.a.1.1, 84.16.0.? |
$[(34516094/25, 207083384528/25)]$ |
318402.eq2 |
318402eq2 |
318402.eq |
318402eq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 7^{15} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$8.175447186$ |
$1$ |
|
$0$ |
$7464960$ |
$2.364910$ |
$323648023823/484243284$ |
$[1, -1, 1, 449149, 145772183]$ |
\(y^2+xy+y=x^3-x^2+449149x+145772183\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.? |
$[(5271729/40, 12269208187/40)]$ |
363888.f2 |
363888f2 |
363888.f |
363888f |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3732480$ |
$2.085102$ |
$323648023823/484243284$ |
$[0, 0, 0, 146661, 27220426]$ |
\(y^2=x^3+146661x+27220426\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.? |
$[]$ |
363888.g2 |
363888g2 |
363888.g |
363888g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$17.43129369$ |
$1$ |
|
$0$ |
$70917120$ |
$3.557320$ |
$323648023823/484243284$ |
$[0, 0, 0, 52944621, -186704901934]$ |
\(y^2=x^3+52944621x-186704901934\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 42.8.0-3.a.1.1, 84.16.0.? |
$[(134794903/169, 1980128425014/169)]$ |
379050.f2 |
379050f2 |
379050.f |
379050f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$7.877981007$ |
$1$ |
|
$2$ |
$39890880$ |
$3.119587$ |
$323648023823/484243284$ |
$[1, 1, 0, 9191775, -13502022375]$ |
\(y^2+xy=x^3+x^2+9191775x-13502022375\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 84.8.0.?, 420.16.0.? |
$[(1256, 4491)]$ |
379050.id2 |
379050id2 |
379050.id |
379050id |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2099520$ |
$1.647367$ |
$323648023823/484243284$ |
$[1, 0, 0, 25462, 1971192]$ |
\(y^2+xy=x^3+25462x+1971192\) |
3.4.0.a.1, 84.8.0.?, 285.8.0.?, 7980.16.0.? |
$[]$ |
485184.j2 |
485184j2 |
485184.j |
485184j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3 \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3192$ |
$16$ |
$0$ |
$5.145839892$ |
$1$ |
|
$2$ |
$3732480$ |
$1.882370$ |
$323648023823/484243284$ |
$[0, -1, 0, 65183, -8087039]$ |
\(y^2=x^3-x^2+65183x-8087039\) |
3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.? |
$[(1805, 77376)]$ |
485184.k2 |
485184k2 |
485184.k |
485184k |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3 \cdot 7^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70917120$ |
$3.354588$ |
$323648023823/484243284$ |
$[0, -1, 0, 23530943, -55327814591]$ |
\(y^2=x^3-x^2+23530943x-55327814591\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 84.8.0.?, 168.16.0.? |
$[]$ |
485184.fd2 |
485184fd2 |
485184.fd |
485184fd |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3 \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$8.098209228$ |
$1$ |
|
$2$ |
$70917120$ |
$3.354588$ |
$323648023823/484243284$ |
$[0, 1, 0, 23530943, 55327814591]$ |
\(y^2=x^3+x^2+23530943x+55327814591\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 84.8.0.?, 168.16.0.? |
$[(34255, 6407616)]$ |
485184.fe2 |
485184fe2 |
485184.fe |
485184fe |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3 \cdot 7^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3192$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3732480$ |
$1.882370$ |
$323648023823/484243284$ |
$[0, 1, 0, 65183, 8087039]$ |
\(y^2=x^3+x^2+65183x+8087039\) |
3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.? |
$[]$ |