| 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 |
| 3822.g1 |
3822c1 |
3822.g |
3822c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28224$ |
$1.637554$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.74712$ |
$[1, 1, 0, -151827, 22709037]$ |
\(y^2+xy=x^3+x^2-151827x+22709037\) |
2184.2.0.? |
$[]$ |
| 3822.m1 |
3822o1 |
3822.m |
3822o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$0.664598$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.33166$ |
$[1, 0, 1, -3099, -66650]$ |
\(y^2+xy+y=x^3-3099x-66650\) |
2184.2.0.? |
$[]$ |
| 11466.br1 |
11466bx1 |
11466.br |
11466bx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225792$ |
$2.186859$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.77684$ |
$[1, -1, 1, -1366448, -614510445]$ |
\(y^2+xy+y=x^3-x^2-1366448x-614510445\) |
2184.2.0.? |
$[]$ |
| 11466.cb1 |
11466ck1 |
11466.cb |
11466ck |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.043877241$ |
$1$ |
|
$14$ |
$32256$ |
$1.213905$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.52774$ |
$[1, -1, 1, -27887, 1799543]$ |
\(y^2+xy+y=x^3-x^2-27887x+1799543\) |
2184.2.0.? |
$[(-33, 1654)]$ |
| 30576.p1 |
30576cb1 |
30576.p |
30576cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3 \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.343592912$ |
$1$ |
|
$18$ |
$96768$ |
$1.357746$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.26488$ |
$[0, -1, 0, -49576, 4265584]$ |
\(y^2=x^3-x^2-49576x+4265584\) |
2184.2.0.? |
$[(138, 182), (1060/3, 5824/3)]$ |
| 30576.cq1 |
30576cn1 |
30576.cq |
30576cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3 \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$677376$ |
$2.330700$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.39535$ |
$[0, 1, 0, -2429240, -1458236844]$ |
\(y^2=x^3+x^2-2429240x-1458236844\) |
2184.2.0.? |
$[]$ |
| 49686.cb1 |
49686cc1 |
49686.cb |
49686cc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3 \cdot 7^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.325944348$ |
$1$ |
|
$4$ |
$4741632$ |
$2.920029$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.80710$ |
$[1, 1, 1, -25658851, 50020048385]$ |
\(y^2+xy+y=x^3+x^2-25658851x+50020048385\) |
2184.2.0.? |
$[(4087, 113890)]$ |
| 49686.de1 |
49686cy1 |
49686.de |
49686cy |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3 \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$677376$ |
$1.947073$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.72739$ |
$[1, 0, 0, -523650, -145905852]$ |
\(y^2+xy=x^3-523650x-145905852\) |
2184.2.0.? |
$[]$ |
| 91728.cq1 |
91728ed1 |
91728.cq |
91728ed |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.880009$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.45348$ |
$[0, 0, 0, -21863163, 39350531626]$ |
\(y^2=x^3-21863163x+39350531626\) |
2184.2.0.? |
$[]$ |
| 91728.ej1 |
91728fh1 |
91728.ej |
91728fh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$3.759438303$ |
$1$ |
|
$2$ |
$774144$ |
$1.907051$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.43170$ |
$[0, 0, 0, -446187, -114724582]$ |
\(y^2=x^3-446187x-114724582\) |
2184.2.0.? |
$[(1498, 50778)]$ |
| 95550.in1 |
95550gy1 |
95550.in |
95550gy |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$4.611088051$ |
$1$ |
|
$2$ |
$564480$ |
$1.469318$ |
$-9591639636223/843648$ |
$1.22499$ |
$3.95786$ |
$[1, 1, 1, -77463, -8331219]$ |
\(y^2+xy+y=x^3+x^2-77463x-8331219\) |
2184.2.0.? |
$[(321, -70)]$ |
| 95550.lg1 |
95550kd1 |
95550.lg |
95550kd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.236716543$ |
$1$ |
|
$2$ |
$3951360$ |
$2.442272$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.97601$ |
$[1, 0, 0, -3795688, 2846220992]$ |
\(y^2+xy=x^3-3795688x+2846220992\) |
2184.2.0.? |
$[(886, 12934)]$ |
| 122304.bx1 |
122304fz1 |
122304.bx |
122304fz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3 \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.677273$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.11188$ |
$[0, -1, 0, -9716961, -11656177791]$ |
\(y^2=x^3-x^2-9716961x-11656177791\) |
2184.2.0.? |
$[]$ |
| 122304.co1 |
122304q1 |
122304.co |
122304q |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3 \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$774144$ |
$1.704319$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.11519$ |
$[0, -1, 0, -198305, -33926367]$ |
\(y^2=x^3-x^2-198305x-33926367\) |
2184.2.0.? |
$[]$ |
| 122304.fv1 |
122304ec1 |
122304.fv |
122304ec |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3 \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.677273$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.11188$ |
$[0, 1, 0, -9716961, 11656177791]$ |
\(y^2=x^3+x^2-9716961x+11656177791\) |
2184.2.0.? |
$[]$ |
| 122304.hh1 |
122304hb1 |
122304.hh |
122304hb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3 \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$774144$ |
$1.704319$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.11519$ |
$[0, 1, 0, -198305, 33926367]$ |
\(y^2=x^3+x^2-198305x+33926367\) |
2184.2.0.? |
$[]$ |
| 149058.bs1 |
149058fj1 |
149058.bs |
149058fj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.484432365$ |
$1$ |
|
$6$ |
$5419008$ |
$2.496380$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.84476$ |
$[1, -1, 0, -4712850, 3939458004]$ |
\(y^2+xy=x^3-x^2-4712850x+3939458004\) |
2184.2.0.? |
$[(1089, 9342)]$ |
| 149058.cx1 |
149058gb1 |
149058.cx |
149058gb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$43.60980760$ |
$1$ |
|
$0$ |
$37933056$ |
$3.469334$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.82489$ |
$[1, -1, 0, -230929659, -1350772236059]$ |
\(y^2+xy=x^3-x^2-230929659x-1350772236059\) |
2184.2.0.? |
$[(5235718056630580529579/345601283, 351192664140449678466794215766797/345601283)]$ |
| 286650.p1 |
286650p1 |
286650.p |
286650p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$3.125932182$ |
$1$ |
|
$2$ |
$4515840$ |
$2.018623$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.13640$ |
$[1, -1, 0, -697167, 224245741]$ |
\(y^2+xy=x^3-x^2-697167x+224245741\) |
2184.2.0.? |
$[(443, 1259)]$ |
| 286650.q1 |
286650q1 |
286650.q |
286650q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31610880$ |
$2.991577$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.06553$ |
$[1, -1, 0, -34161192, -76847966784]$ |
\(y^2+xy=x^3-x^2-34161192x-76847966784\) |
2184.2.0.? |
$[]$ |
| 366912.fg1 |
366912fg1 |
366912.fg |
366912fg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6193152$ |
$2.253624$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.27680$ |
$[0, 0, 0, -1784748, -917796656]$ |
\(y^2=x^3-1784748x-917796656\) |
2184.2.0.? |
$[]$ |
| 366912.gn1 |
366912gn1 |
366912.gn |
366912gn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.146822718$ |
$1$ |
|
$4$ |
$6193152$ |
$2.253624$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.27680$ |
$[0, 0, 0, -1784748, 917796656]$ |
\(y^2=x^3-1784748x+917796656\) |
2184.2.0.? |
$[(406, 16128)]$ |
| 366912.jx1 |
366912jx1 |
366912.jx |
366912jx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$2.461423200$ |
$1$ |
|
$2$ |
$43352064$ |
$3.226582$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.18803$ |
$[0, 0, 0, -87452652, 314804253008]$ |
\(y^2=x^3-87452652x+314804253008\) |
2184.2.0.? |
$[(5488, 12348)]$ |
| 366912.lq1 |
366912lq1 |
366912.lq |
366912lq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43352064$ |
$3.226582$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.18803$ |
$[0, 0, 0, -87452652, -314804253008]$ |
\(y^2=x^3-87452652x-314804253008\) |
2184.2.0.? |
$[]$ |
| 397488.dm1 |
397488dm1 |
397488.dm |
397488dm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{19} \cdot 3 \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$2.302742922$ |
$1$ |
|
$2$ |
$16257024$ |
$2.640221$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.61007$ |
$[0, -1, 0, -8378400, 9337974528]$ |
\(y^2=x^3-x^2-8378400x+9337974528\) |
2184.2.0.? |
$[(-2942, 92274)]$ |
| 397488.hh1 |
397488hh1 |
397488.hh |
397488hh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{19} \cdot 3 \cdot 7^{9} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$113799168$ |
$3.613174$ |
$-9591639636223/843648$ |
$1.22499$ |
$5.51564$ |
$[0, 1, 0, -410541616, -3202104179884]$ |
\(y^2=x^3+x^2-410541616x-3202104179884\) |
2184.2.0.? |
$[]$ |
| 462462.hf1 |
462462hf1 |
462462.hf |
462462hf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 7^{9} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$9.132302463$ |
$1$ |
|
$0$ |
$33586560$ |
$2.836502$ |
$-9591639636223/843648$ |
$1.22499$ |
$4.73713$ |
$[1, 1, 1, -18371130, -30317583801]$ |
\(y^2+xy+y=x^3+x^2-18371130x-30317583801\) |
2184.2.0.? |
$[(3045801/5, 5304677511/5)]$ |
| 462462.iz1 |
462462iz1 |
462462.iz |
462462iz |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3 \cdot 7^{3} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$2.133293012$ |
$1$ |
|
$2$ |
$4798080$ |
$1.863546$ |
$-9591639636223/843648$ |
$1.22499$ |
$3.84207$ |
$[1, 0, 0, -374921, 88335897]$ |
\(y^2+xy=x^3-374921x+88335897\) |
2184.2.0.? |
$[(354, -93)]$ |
