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 |
4830.w2 |
4830x2 |
4830.w |
4830x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13440$ |
$1.213150$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.47956$ |
$[1, 1, 1, -4045, -208093]$ |
\(y^2+xy+y=x^3+x^2-4045x-208093\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
14490.d2 |
14490g2 |
14490.d |
14490g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.762455$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.65390$ |
$[1, -1, 0, -36405, 5582101]$ |
\(y^2+xy=x^3-x^2-36405x+5582101\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
24150.bk2 |
24150bf2 |
24150.bk |
24150bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.476088763$ |
$1$ |
|
$6$ |
$322560$ |
$2.017868$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.72204$ |
$[1, 0, 1, -101126, -25809352]$ |
\(y^2+xy+y=x^3-101126x-25809352\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(912, 24856)]$ |
33810.cx2 |
33810cw2 |
33810.cx |
33810cw |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$0.147779460$ |
$1$ |
|
$14$ |
$645120$ |
$2.186104$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.76327$ |
$[1, 0, 0, -198206, 70781220]$ |
\(y^2+xy=x^3-198206x+70781220\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(1558, 58756)]$ |
38640.cz2 |
38640da2 |
38640.cz |
38640da |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$0.450012720$ |
$1$ |
|
$9$ |
$322560$ |
$1.906296$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.38515$ |
$[0, 1, 0, -64720, 13188500]$ |
\(y^2=x^3+x^2-64720x+13188500\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(-190, 4320)]$ |
72450.ek2 |
72450el2 |
72450.ek |
72450el |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{20} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.649538401$ |
$1$ |
|
$6$ |
$2580480$ |
$2.567173$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.84750$ |
$[1, -1, 1, -910130, 696852497]$ |
\(y^2+xy+y=x^3-x^2-910130x+696852497\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(939, 25405)]$ |
101430.bx2 |
101430bz2 |
101430.bx |
101430bz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{20} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$2.735409$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.88114$ |
$[1, -1, 0, -1783854, -1911092940]$ |
\(y^2+xy=x^3-x^2-1783854x-1911092940\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
111090.bx2 |
111090bu2 |
111090.bx |
111090bu |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7096320$ |
$2.780895$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.88990$ |
$[1, 1, 1, -2139816, 2510467209]$ |
\(y^2+xy+y=x^3+x^2-2139816x+2510467209\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
115920.bv2 |
115920dt2 |
115920.bv |
115920dt |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$11.01129645$ |
$1$ |
|
$1$ |
$2580480$ |
$2.455601$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.53729$ |
$[0, 0, 0, -582483, -356671982]$ |
\(y^2=x^3-582483x-356671982\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(2731511/47, 2961708390/47)]$ |
154560.bi2 |
154560dd2 |
154560.bi |
154560dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$2.998922377$ |
$1$ |
|
$3$ |
$2580480$ |
$2.252869$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.22444$ |
$[0, -1, 0, -258881, 105766881]$ |
\(y^2=x^3-x^2-258881x+105766881\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(1605, 61824)]$ |
154560.eq2 |
154560fp2 |
154560.eq |
154560fp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.092262967$ |
$1$ |
|
$9$ |
$2580480$ |
$2.252869$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.22444$ |
$[0, 1, 0, -258881, -105766881]$ |
\(y^2=x^3+x^2-258881x-105766881\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(2107, 93312)]$ |
169050.bb2 |
169050il2 |
169050.bb |
169050il |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{14} \cdot 5^{8} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15482880$ |
$2.990822$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.92862$ |
$[1, 1, 0, -4955150, 8847652500]$ |
\(y^2+xy=x^3+x^2-4955150x+8847652500\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
193200.q2 |
193200eo2 |
193200.q |
193200eo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{14} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$4.489363425$ |
$1$ |
|
$3$ |
$7741440$ |
$2.711014$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.59868$ |
$[0, -1, 0, -1618008, 1651798512]$ |
\(y^2=x^3-x^2-1618008x+1651798512\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(-398, 47250)]$ |
270480.ba2 |
270480ba2 |
270480.ba |
270480ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{14} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$7.757378934$ |
$1$ |
|
$3$ |
$15482880$ |
$2.879250$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.63638$ |
$[0, -1, 0, -3171296, -4529998080]$ |
\(y^2=x^3-x^2-3171296x-4529998080\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(105520, 34271840)]$ |
333270.cl2 |
333270cl2 |
333270.cl |
333270cl |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$20.54489987$ |
$1$ |
|
$0$ |
$56770560$ |
$3.330204$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.98580$ |
$[1, -1, 0, -19258344, -67801872992]$ |
\(y^2+xy=x^3-x^2-19258344x-67801872992\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(78710220159/2135, 21122008121184053/2135)]$ |
463680.iz2 |
463680iz2 |
463680.iz |
463680iz |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$6.919797178$ |
$1$ |
|
$1$ |
$20643840$ |
$2.802177$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.37395$ |
$[0, 0, 0, -2329932, 2853375856]$ |
\(y^2=x^3-2329932x+2853375856\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(10577/4, 2561625/4)]$ |
463680.mo2 |
463680mo2 |
463680.mo |
463680mo |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$20643840$ |
$2.802177$ |
$-7319577278195281/14169067365600$ |
$0.95815$ |
$4.37395$ |
$[0, 0, 0, -2329932, -2853375856]$ |
\(y^2=x^3-2329932x-2853375856\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |