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 |
10010.b1 |
10010h2 |
10010.b |
10010h |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.396355067$ |
$1$ |
|
$8$ |
$7680$ |
$0.534422$ |
$10942526586601/3464060600$ |
$[1, 0, 1, -463, 2538]$ |
\(y^2+xy+y=x^3-463x+2538\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(4, 25)]$ |
50050.ch1 |
50050bx2 |
50050.ch |
50050bx |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.019558240$ |
$1$ |
|
$4$ |
$184320$ |
$1.339140$ |
$10942526586601/3464060600$ |
$[1, 1, 1, -11563, 317281]$ |
\(y^2+xy+y=x^3+x^2-11563x+317281\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-35, 842)]$ |
70070.y1 |
70070o2 |
70070.y |
70070o |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.507378$ |
$10942526586601/3464060600$ |
$[1, 1, 0, -22663, -893283]$ |
\(y^2+xy=x^3+x^2-22663x-893283\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
80080.by1 |
80080bt2 |
80080.by |
80080bt |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.227570$ |
$10942526586601/3464060600$ |
$[0, -1, 0, -7400, -162448]$ |
\(y^2=x^3-x^2-7400x-162448\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
90090.cg1 |
90090cr2 |
90090.cg |
90090cr |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.198114588$ |
$1$ |
|
$6$ |
$184320$ |
$1.083729$ |
$10942526586601/3464060600$ |
$[1, -1, 1, -4163, -68533]$ |
\(y^2+xy+y=x^3-x^2-4163x-68533\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(93, 538)]$ |
110110.bu1 |
110110cw2 |
110110.bu |
110110cw |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$1.733370$ |
$10942526586601/3464060600$ |
$[1, 0, 0, -55965, -3434375]$ |
\(y^2+xy=x^3-55965x-3434375\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
130130.bm1 |
130130bm2 |
130130.bm |
130130bm |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.502192469$ |
$1$ |
|
$6$ |
$1290240$ |
$1.816896$ |
$10942526586601/3464060600$ |
$[1, 0, 0, -78166, 5654700]$ |
\(y^2+xy=x^3-78166x+5654700\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(274, 2060)]$ |
320320.o1 |
320320o2 |
320320.o |
320320o |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.745292922$ |
$1$ |
|
$9$ |
$1474560$ |
$1.574142$ |
$10942526586601/3464060600$ |
$[0, 1, 0, -29601, -1329185]$ |
\(y^2=x^3+x^2-29601x-1329185\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-121, 704)]$ |
320320.en1 |
320320en2 |
320320.en |
320320en |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.574142$ |
$10942526586601/3464060600$ |
$[0, -1, 0, -29601, 1329185]$ |
\(y^2=x^3-x^2-29601x+1329185\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
350350.ee1 |
350350ee2 |
350350.ee |
350350ee |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 5^{8} \cdot 7^{7} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.983174125$ |
$1$ |
|
$20$ |
$8847360$ |
$2.312096$ |
$10942526586601/3464060600$ |
$[1, 0, 0, -566588, -110527208]$ |
\(y^2+xy=x^3-566588x-110527208\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-374, 7194), (-318, 6284)]$ |
400400.n1 |
400400n2 |
400400.n |
400400n |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$2.923428030$ |
$1$ |
|
$5$ |
$4423680$ |
$2.032288$ |
$10942526586601/3464060600$ |
$[0, 1, 0, -185008, -20676012]$ |
\(y^2=x^3+x^2-185008x-20676012\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-236, 3146)]$ |
450450.dt1 |
450450dt2 |
450450.dt |
450450dt |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$5.661398529$ |
$1$ |
|
$10$ |
$4423680$ |
$1.888447$ |
$10942526586601/3464060600$ |
$[1, -1, 0, -104067, -8670659]$ |
\(y^2+xy=x^3-x^2-104067x-8670659\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(489, 7318), (-261, 943)]$ |