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 |
1805.a2 |
1805a1 |
1805.a |
1805a |
$2$ |
$3$ |
\( 5 \cdot 19^{2} \) |
\( 5^{3} \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$1710$ |
$144$ |
$2$ |
$5.405375412$ |
$1$ |
|
$4$ |
$4788$ |
$1.329994$ |
$318767104/125$ |
$[0, 1, 1, -36581, 2679900]$ |
\(y^2+y=x^3+x^2-36581x+2679900\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4, 90.48.0.?, $\ldots$ |
$[(-78, 2250)]$ |
1805.b2 |
1805b1 |
1805.b |
1805b |
$2$ |
$3$ |
\( 5 \cdot 19^{2} \) |
\( 5^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$252$ |
$-0.142226$ |
$318767104/125$ |
$[0, -1, 1, -101, -359]$ |
\(y^2+y=x^3-x^2-101x-359\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 57.8.0-3.a.1.1, $\ldots$ |
$[]$ |
9025.e2 |
9025d1 |
9025.e |
9025d |
$2$ |
$3$ |
\( 5^{2} \cdot 19^{2} \) |
\( 5^{9} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$6048$ |
$0.662493$ |
$318767104/125$ |
$[0, 1, 1, -2533, -49906]$ |
\(y^2+y=x^3+x^2-2533x-49906\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[]$ |
9025.g2 |
9025b1 |
9025.g |
9025b |
$2$ |
$3$ |
\( 5^{2} \cdot 19^{2} \) |
\( 5^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$2.623979282$ |
$1$ |
|
$0$ |
$114912$ |
$2.134712$ |
$318767104/125$ |
$[0, -1, 1, -914533, 336816593]$ |
\(y^2+y=x^3-x^2-914533x+336816593\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 9.12.0.b.1, 10.2.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(3613/3, 157924/3)]$ |
16245.h2 |
16245j1 |
16245.h |
16245j |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$0.465110768$ |
$1$ |
|
$14$ |
$6048$ |
$0.407080$ |
$318767104/125$ |
$[0, 0, 1, -912, 10597]$ |
\(y^2+y=x^3-912x+10597\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 57.8.0-3.a.1.2, $\ldots$ |
$[(17, 2), (7, 67)]$ |
16245.i2 |
16245e1 |
16245.i |
16245e |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$1710$ |
$144$ |
$2$ |
$0.862148002$ |
$1$ |
|
$4$ |
$114912$ |
$1.879299$ |
$318767104/125$ |
$[0, 0, 1, -329232, -72686538]$ |
\(y^2+y=x^3-329232x-72686538\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1, 90.48.0.?, $\ldots$ |
$[(722, 8122)]$ |
28880.d2 |
28880z1 |
28880.d |
28880z |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$2.114804945$ |
$1$ |
|
$2$ |
$18144$ |
$0.550921$ |
$318767104/125$ |
$[0, 1, 0, -1621, 24579]$ |
\(y^2=x^3+x^2-1621x+24579\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(22, 7)]$ |
28880.ba2 |
28880q1 |
28880.ba |
28880q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$1$ |
$25$ |
$5$ |
$0$ |
$344736$ |
$2.023140$ |
$318767104/125$ |
$[0, -1, 0, -585301, -172098915]$ |
\(y^2=x^3-x^2-585301x-172098915\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 12.8.0-3.a.1.1, 30.8.0.a.1, $\ldots$ |
$[]$ |
81225.ba2 |
81225q1 |
81225.ba |
81225q |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2757888$ |
$2.684017$ |
$318767104/125$ |
$[0, 0, 1, -8230800, -9085817219]$ |
\(y^2+y=x^3-8230800x-9085817219\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 9.12.0.b.1, 10.2.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
81225.bb2 |
81225y1 |
81225.bb |
81225y |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1710$ |
$144$ |
$2$ |
$0.933084284$ |
$1$ |
|
$4$ |
$145152$ |
$1.211800$ |
$318767104/125$ |
$[0, 0, 1, -22800, 1324656]$ |
\(y^2+y=x^3-22800x+1324656\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(80, 112)]$ |
88445.r2 |
88445bp1 |
88445.r |
88445bp |
$2$ |
$3$ |
\( 5 \cdot 7^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 7^{6} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$11970$ |
$144$ |
$2$ |
$0.935222298$ |
$1$ |
|
$10$ |
$72576$ |
$0.830729$ |
$318767104/125$ |
$[0, 1, 1, -4965, 132969]$ |
\(y^2+y=x^3+x^2-4965x+132969\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(51, 122), (-47, 514)]$ |
88445.y2 |
88445bh1 |
88445.y |
88445bh |
$2$ |
$3$ |
\( 5 \cdot 7^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 7^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$11970$ |
$144$ |
$2$ |
$10.56391825$ |
$1$ |
|
$2$ |
$1378944$ |
$2.302948$ |
$318767104/125$ |
$[0, -1, 1, -1792485, -922790744]$ |
\(y^2+y=x^3-x^2-1792485x-922790744\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 21.8.0-3.a.1.1, 30.8.0.a.1, $\ldots$ |
$[(791600, 704300152)]$ |
115520.j2 |
115520bg1 |
115520.j |
115520bg |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6840$ |
$144$ |
$2$ |
$1.250692458$ |
$1$ |
|
$2$ |
$36288$ |
$0.204348$ |
$318767104/125$ |
$[0, 1, 0, -405, -3275]$ |
\(y^2=x^3+x^2-405x-3275\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(-12, 1)]$ |
115520.r2 |
115520cn1 |
115520.r |
115520cn |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6840$ |
$144$ |
$2$ |
$3.123679096$ |
$1$ |
|
$2$ |
$689472$ |
$1.676567$ |
$318767104/125$ |
$[0, 1, 0, -146325, -21585527]$ |
\(y^2=x^3+x^2-146325x-21585527\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 24.8.0-3.a.1.4, 30.8.0.a.1, $\ldots$ |
$[(-224, 45)]$ |
115520.cp2 |
115520u1 |
115520.cp |
115520u |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6840$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$689472$ |
$1.676567$ |
$318767104/125$ |
$[0, -1, 0, -146325, 21585527]$ |
\(y^2=x^3-x^2-146325x+21585527\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 24.8.0-3.a.1.2, 30.8.0.a.1, $\ldots$ |
$[]$ |
115520.cx2 |
115520cw1 |
115520.cx |
115520cw |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$6840$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$36288$ |
$0.204348$ |
$318767104/125$ |
$[0, -1, 0, -405, 3275]$ |
\(y^2=x^3-x^2-405x+3275\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[]$ |
144400.d2 |
144400b1 |
144400.d |
144400b |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$8273664$ |
$2.827858$ |
$318767104/125$ |
$[0, 1, 0, -14632533, -21541629437]$ |
\(y^2=x^3+x^2-14632533x-21541629437\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 12.8.0-3.a.1.3, 30.8.0.a.1, $\ldots$ |
$[]$ |
144400.ck2 |
144400bm1 |
144400.ck |
144400bm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$4.413557003$ |
$1$ |
|
$0$ |
$435456$ |
$1.355640$ |
$318767104/125$ |
$[0, -1, 0, -40533, 3153437]$ |
\(y^2=x^3-x^2-40533x+3153437\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(988/3, 3275/3)]$ |
218405.e2 |
218405e1 |
218405.e |
218405e |
$2$ |
$3$ |
\( 5 \cdot 11^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 11^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$18810$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$6463800$ |
$2.528942$ |
$318767104/125$ |
$[0, 1, 1, -4426341, -3584652549]$ |
\(y^2+y=x^3+x^2-4426341x-3584652549\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
218405.f2 |
218405f1 |
218405.f |
218405f |
$2$ |
$3$ |
\( 5 \cdot 11^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$18810$ |
$144$ |
$2$ |
$9.044978590$ |
$1$ |
|
$0$ |
$340200$ |
$1.056723$ |
$318767104/125$ |
$[0, -1, 1, -12261, 526492]$ |
\(y^2+y=x^3-x^2-12261x+526492\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(27904/21, 24247/21)]$ |
259920.gu2 |
259920gu1 |
259920.gu |
259920gu |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$3.930401013$ |
$1$ |
|
$2$ |
$435456$ |
$1.100227$ |
$318767104/125$ |
$[0, 0, 0, -14592, -678224]$ |
\(y^2=x^3-14592x-678224\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(377, 6885)]$ |
259920.gv2 |
259920gv1 |
259920.gv |
259920gv |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$3420$ |
$144$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8273664$ |
$2.572449$ |
$318767104/125$ |
$[0, 0, 0, -5267712, 4651938416]$ |
\(y^2=x^3-5267712x+4651938416\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 12.8.0-3.a.1.2, 30.8.0.a.1, $\ldots$ |
$[]$ |
305045.j2 |
305045j1 |
305045.j |
305045j |
$2$ |
$3$ |
\( 5 \cdot 13^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 13^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$22230$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$11031552$ |
$2.612469$ |
$318767104/125$ |
$[0, 1, 1, -6182245, 5912469749]$ |
\(y^2+y=x^3+x^2-6182245x+5912469749\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
305045.k2 |
305045k1 |
305045.k |
305045k |
$2$ |
$3$ |
\( 5 \cdot 13^{2} \cdot 19^{2} \) |
\( 5^{3} \cdot 13^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$22230$ |
$144$ |
$2$ |
$4.950046122$ |
$1$ |
|
$0$ |
$580608$ |
$1.140249$ |
$318767104/125$ |
$[0, -1, 1, -17125, -856594]$ |
\(y^2+y=x^3-x^2-17125x-856594\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(-6044/9, 10198/9)]$ |
442225.bn2 |
442225bn1 |
442225.bn |
442225bn |
$2$ |
$3$ |
\( 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 5^{9} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$11970$ |
$144$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$33094656$ |
$3.107666$ |
$318767104/125$ |
$[0, 1, 1, -44812133, -115438467231]$ |
\(y^2+y=x^3+x^2-44812133x-115438467231\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 42.8.0-3.a.1.2, $\ldots$ |
$[]$ |
442225.bx2 |
442225bx1 |
442225.bx |
442225bx |
$2$ |
$3$ |
\( 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 5^{9} \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$11970$ |
$144$ |
$2$ |
$2.219680017$ |
$1$ |
|
$2$ |
$1741824$ |
$1.635448$ |
$318767104/125$ |
$[0, -1, 1, -124133, 16869418]$ |
\(y^2+y=x^3-x^2-124133x+16869418\) |
3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$ |
$[(208, 73)]$ |