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 |
2233.b1 |
2233b1 |
2233.b |
2233b |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 29 \) |
\( - 7 \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1218$ |
$16$ |
$0$ |
$2.325469379$ |
$1$ |
|
$4$ |
$336$ |
$0.103075$ |
$-28094464000/20657483$ |
$[0, 1, 1, -63, 271]$ |
\(y^2+y=x^3+x^2-63x+271\) |
3.8.0-3.a.1.2, 406.2.0.?, 1218.16.0.? |
$[(31, 170)]$ |
15631.b1 |
15631b1 |
15631.b |
15631b |
$2$ |
$3$ |
\( 7^{2} \cdot 11 \cdot 29 \) |
\( - 7^{7} \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$0.677618918$ |
$1$ |
|
$4$ |
$16128$ |
$1.076029$ |
$-28094464000/20657483$ |
$[0, -1, 1, -3103, -99233]$ |
\(y^2+y=x^3-x^2-3103x-99233\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[(397, 7815)]$ |
20097.g1 |
20097k1 |
20097.g |
20097k |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$0.652381$ |
$-28094464000/20657483$ |
$[0, 0, 1, -570, -7893]$ |
\(y^2+y=x^3-570x-7893\) |
3.8.0-3.a.1.1, 406.2.0.?, 1218.16.0.? |
$[]$ |
24563.e1 |
24563a1 |
24563.e |
24563a |
$2$ |
$3$ |
\( 7 \cdot 11^{2} \cdot 29 \) |
\( - 7 \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.302023$ |
$-28094464000/20657483$ |
$[0, 1, 1, -7663, -391638]$ |
\(y^2+y=x^3+x^2-7663x-391638\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
35728.i1 |
35728v1 |
35728.i |
35728v |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$0.796222$ |
$-28094464000/20657483$ |
$[0, -1, 0, -1013, -18371]$ |
\(y^2=x^3-x^2-1013x-18371\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 2436.16.0.? |
$[]$ |
55825.l1 |
55825d1 |
55825.l |
55825d |
$2$ |
$3$ |
\( 5^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 5^{6} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$0.572591975$ |
$1$ |
|
$12$ |
$48384$ |
$0.907794$ |
$-28094464000/20657483$ |
$[0, -1, 1, -1583, 37068]$ |
\(y^2+y=x^3-x^2-1583x+37068\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 6090.16.0.? |
$[(36, 159), (152, 1812)]$ |
64757.d1 |
64757h1 |
64757.d |
64757h |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 29^{2} \) |
\( - 7 \cdot 11^{2} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1.280163138$ |
$1$ |
|
$0$ |
$282240$ |
$1.786722$ |
$-28094464000/20657483$ |
$[0, -1, 1, -53263, 7147246]$ |
\(y^2+y=x^3-x^2-53263x+7147246\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 87.8.0.?, 406.2.0.?, 1218.16.0.? |
$[(997/2, 24385/2)]$ |
140679.u1 |
140679u1 |
140679.u |
140679u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{7} \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.625336$ |
$-28094464000/20657483$ |
$[0, 0, 1, -27930, 2707213]$ |
\(y^2+y=x^3-27930x+2707213\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[]$ |
142912.u1 |
142912bm1 |
142912.u |
142912bm |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{6} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$2.100979935$ |
$1$ |
|
$2$ |
$48384$ |
$0.449648$ |
$-28094464000/20657483$ |
$[0, -1, 0, -253, 2423]$ |
\(y^2=x^3-x^2-253x+2423\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 4872.16.0.? |
$[(-14, 55)]$ |
142912.bv1 |
142912u1 |
142912.bv |
142912u |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{6} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.449648$ |
$-28094464000/20657483$ |
$[0, 1, 0, -253, -2423]$ |
\(y^2=x^3+x^2-253x-2423\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 406.2.0.?, 1218.8.0.?, 4872.16.0.? |
$[]$ |
171941.m1 |
171941m1 |
171941.m |
171941m |
$2$ |
$3$ |
\( 7^{2} \cdot 11^{2} \cdot 29 \) |
\( - 7^{7} \cdot 11^{8} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$2.338140536$ |
$1$ |
|
$2$ |
$1935360$ |
$2.274979$ |
$-28094464000/20657483$ |
$[0, -1, 1, -375503, 133580754]$ |
\(y^2+y=x^3-x^2-375503x+133580754\) |
3.4.0.a.1, 231.8.0.?, 406.2.0.?, 1218.8.0.?, 1914.8.0.?, $\ldots$ |
$[(1104, 32609)]$ |
221067.q1 |
221067q1 |
221067.q |
221067q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1209600$ |
$1.851328$ |
$-28094464000/20657483$ |
$[0, 0, 1, -68970, 10505250]$ |
\(y^2+y=x^3-68970x+10505250\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
250096.bt1 |
250096bt1 |
250096.bt |
250096bt |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 7^{7} \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$0.700384179$ |
$1$ |
|
$2$ |
$1161216$ |
$1.769176$ |
$-28094464000/20657483$ |
$[0, 1, 0, -49653, 6400547]$ |
\(y^2=x^3+x^2-49653x+6400547\) |
3.4.0.a.1, 84.8.0.?, 348.8.0.?, 406.2.0.?, 1218.8.0.?, $\ldots$ |
$[(646, 15631)]$ |
321552.cw1 |
321552cw1 |
321552.cw |
321552cw |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$5.764580698$ |
$1$ |
|
$2$ |
$725760$ |
$1.345528$ |
$-28094464000/20657483$ |
$[0, 0, 0, -9120, 505136]$ |
\(y^2=x^3-9120x+505136\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 2436.16.0.? |
$[(1025, 32681)]$ |
377377.g1 |
377377g1 |
377377.g |
377377g |
$2$ |
$3$ |
\( 7 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( - 7 \cdot 11^{2} \cdot 13^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15834$ |
$16$ |
$0$ |
$1.186569991$ |
$1$ |
|
$4$ |
$774144$ |
$1.385550$ |
$-28094464000/20657483$ |
$[0, 1, 1, -10703, 638668]$ |
\(y^2+y=x^3+x^2-10703x+638668\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 15834.16.0.? |
$[(-22, 929)]$ |
390775.bc1 |
390775bc1 |
390775.bc |
390775bc |
$2$ |
$3$ |
\( 5^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 5^{6} \cdot 7^{7} \cdot 11^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6090$ |
$16$ |
$0$ |
$1.284313851$ |
$1$ |
|
$4$ |
$2322432$ |
$1.880749$ |
$-28094464000/20657483$ |
$[0, 1, 1, -77583, -12559256]$ |
\(y^2+y=x^3+x^2-77583x-12559256\) |
3.4.0.a.1, 105.8.0.?, 406.2.0.?, 870.8.0.?, 1218.8.0.?, $\ldots$ |
$[(388, 3987)]$ |
393008.u1 |
393008u1 |
393008.u |
393008u |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 2^{12} \cdot 7 \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26796$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$1.995169$ |
$-28094464000/20657483$ |
$[0, -1, 0, -122613, 24942205]$ |
\(y^2=x^3-x^2-122613x+24942205\) |
3.4.0.a.1, 132.8.0.?, 406.2.0.?, 1218.8.0.?, 26796.16.0.? |
$[]$ |
453299.n1 |
453299n1 |
453299.n |
453299n |
$2$ |
$3$ |
\( 7^{2} \cdot 11 \cdot 29^{2} \) |
\( - 7^{7} \cdot 11^{2} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$6.102208065$ |
$1$ |
|
$0$ |
$13547520$ |
$2.759678$ |
$-28094464000/20657483$ |
$[0, 1, 1, -2609903, -2446285670]$ |
\(y^2+y=x^3+x^2-2609903x-2446285670\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 406.2.0.?, 609.8.0.?, 1218.16.0.? |
$[(801133/18, 460095569/18)]$ |