| 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 |
| 9240.x4 |
9240k4 |
9240.x |
9240k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.721093$ |
$6099383804/41507235$ |
$0.88913$ |
$3.48677$ |
$[0, 1, 0, 384, -9360]$ |
\(y^2=x^3+x^2+384x-9360\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 18480.ba4 |
18480h4 |
18480.ba |
18480h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$0.666442099$ |
$1$ |
|
$7$ |
$12288$ |
$0.721093$ |
$6099383804/41507235$ |
$0.88913$ |
$3.24076$ |
$[0, -1, 0, 384, 9360]$ |
\(y^2=x^3-x^2+384x+9360\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[(-4, 88)]$ |
| 27720.be4 |
27720bn3 |
27720.be |
27720bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.494877472$ |
$1$ |
|
$5$ |
$49152$ |
$1.270399$ |
$6099383804/41507235$ |
$0.88913$ |
$3.75667$ |
$[0, 0, 0, 3453, 256174]$ |
\(y^2=x^3+3453x+256174\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(35, 648)]$ |
| 46200.u4 |
46200bx3 |
46200.u |
46200bx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$2.178333321$ |
$1$ |
|
$5$ |
$147456$ |
$1.525812$ |
$6099383804/41507235$ |
$0.88913$ |
$3.86336$ |
$[0, -1, 0, 9592, -1189188]$ |
\(y^2=x^3-x^2+9592x-1189188\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 1320.24.0.?, $\ldots$ |
$[(198, 2904)]$ |
| 55440.ef4 |
55440bm3 |
55440.ef |
55440bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.270399$ |
$6099383804/41507235$ |
$0.88913$ |
$3.51828$ |
$[0, 0, 0, 3453, -256174]$ |
\(y^2=x^3+3453x-256174\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 70.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 64680.o4 |
64680i3 |
64680.o |
64680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$3.813760854$ |
$1$ |
|
$3$ |
$294912$ |
$1.694048$ |
$6099383804/41507235$ |
$0.88913$ |
$3.92826$ |
$[0, -1, 0, 18800, 3248092]$ |
\(y^2=x^3-x^2+18800x+3248092\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 1320.24.0.?, $\ldots$ |
$[(377, 7986)]$ |
| 73920.cw4 |
73920bg3 |
73920.cw |
73920bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.688365989$ |
$1$ |
|
$3$ |
$98304$ |
$1.067667$ |
$6099383804/41507235$ |
$0.88913$ |
$3.21099$ |
$[0, -1, 0, 1535, -76415]$ |
\(y^2=x^3-x^2+1535x-76415\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ |
$[(47, 312)]$ |
| 73920.hq4 |
73920ib3 |
73920.hq |
73920ib |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.988066819$ |
$1$ |
|
$3$ |
$98304$ |
$1.067667$ |
$6099383804/41507235$ |
$0.88913$ |
$3.21099$ |
$[0, 1, 0, 1535, 76415]$ |
\(y^2=x^3+x^2+1535x+76415\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(293, 5076)]$ |
| 92400.fo4 |
92400cc3 |
92400.fo |
92400cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$1.228148131$ |
$1$ |
|
$11$ |
$294912$ |
$1.525812$ |
$6099383804/41507235$ |
$0.88913$ |
$3.62915$ |
$[0, 1, 0, 9592, 1189188]$ |
\(y^2=x^3+x^2+9592x+1189188\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 140.24.0.?, 1320.24.0.?, $\ldots$ |
$[(-62, 600)]$ |
| 101640.bx4 |
101640cm3 |
101640.bx |
101640cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.755954981$ |
$1$ |
|
$3$ |
$737280$ |
$1.920040$ |
$6099383804/41507235$ |
$0.88913$ |
$4.00948$ |
$[0, 1, 0, 46424, 12643904]$ |
\(y^2=x^3+x^2+46424x+12643904\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(-88, 2808)]$ |
| 129360.hf4 |
129360df3 |
129360.hf |
129360df |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$2.644018919$ |
$1$ |
|
$9$ |
$589824$ |
$1.694048$ |
$6099383804/41507235$ |
$0.88913$ |
$3.69693$ |
$[0, 1, 0, 18800, -3248092]$ |
\(y^2=x^3+x^2+18800x-3248092\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 140.24.0.?, 1320.24.0.?, $\ldots$ |
$[(118, 792)]$ |
| 138600.ee4 |
138600dm4 |
138600.ee |
138600dm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.075119$ |
$6099383804/41507235$ |
$0.88913$ |
$4.06163$ |
$[0, 0, 0, 86325, 32021750]$ |
\(y^2=x^3+86325x+32021750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[]$ |
| 194040.bw4 |
194040ba3 |
194040.bw |
194040ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.614044020$ |
$1$ |
|
$5$ |
$2359296$ |
$2.243355$ |
$6099383804/41507235$ |
$0.88913$ |
$4.11519$ |
$[0, 0, 0, 169197, -87867682]$ |
\(y^2=x^3+169197x-87867682\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(371, 5096)]$ |
| 203280.i4 |
203280hc3 |
203280.i |
203280hc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$7.437861609$ |
$1$ |
|
$11$ |
$1474560$ |
$1.920040$ |
$6099383804/41507235$ |
$0.88913$ |
$3.78210$ |
$[0, -1, 0, 46424, -12643904]$ |
\(y^2=x^3-x^2+46424x-12643904\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(268, 4356), (4140, 266684)]$ |
| 221760.m4 |
221760lw4 |
221760.m |
221760lw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$9.045556112$ |
$1$ |
|
$11$ |
$786432$ |
$1.616972$ |
$6099383804/41507235$ |
$0.88913$ |
$3.45991$ |
$[0, 0, 0, 13812, 2049392]$ |
\(y^2=x^3+13812x+2049392\) |
2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 88.12.0.?, 120.12.0.?, $\ldots$ |
$[(29, 1573), (392, 8228)]$ |
| 221760.fg4 |
221760db3 |
221760.fg |
221760db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.400512674$ |
$1$ |
|
$5$ |
$786432$ |
$1.616972$ |
$6099383804/41507235$ |
$0.88913$ |
$3.45991$ |
$[0, 0, 0, 13812, -2049392]$ |
\(y^2=x^3+13812x-2049392\) |
2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 88.12.0.?, 120.12.0.?, $\ldots$ |
$[(173, 2349)]$ |
| 277200.bf4 |
277200bf3 |
277200.bf |
277200bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.075119$ |
$6099383804/41507235$ |
$0.88913$ |
$3.83699$ |
$[0, 0, 0, 86325, -32021750]$ |
\(y^2=x^3+86325x-32021750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[]$ |
| 304920.ek4 |
304920ek3 |
304920.ek |
304920ek |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$11.90833346$ |
$1$ |
|
$1$ |
$5898240$ |
$2.469345$ |
$6099383804/41507235$ |
$0.88913$ |
$4.18265$ |
$[0, 0, 0, 417813, -340967594]$ |
\(y^2=x^3+417813x-340967594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(622766/35, 72147186/35)]$ |
| 323400.gx4 |
323400gx4 |
323400.gx |
323400gx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.498768$ |
$6099383804/41507235$ |
$0.88913$ |
$4.19108$ |
$[0, 1, 0, 469992, 406951488]$ |
\(y^2=x^3+x^2+469992x+406951488\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 369600.cf4 |
369600cf4 |
369600.cf |
369600cf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$12.42775573$ |
$1$ |
|
$9$ |
$2359296$ |
$1.872385$ |
$6099383804/41507235$ |
$0.88913$ |
$3.56112$ |
$[0, -1, 0, 38367, 9475137]$ |
\(y^2=x^3-x^2+38367x+9475137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(-53, 2700), (-117, 1836)]$ |
| 369600.wn4 |
369600wn3 |
369600.wn |
369600wn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$1.872385$ |
$6099383804/41507235$ |
$0.88913$ |
$3.56112$ |
$[0, 1, 0, 38367, -9475137]$ |
\(y^2=x^3+x^2+38367x-9475137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[]$ |
| 388080.br4 |
388080br4 |
388080.br |
388080br |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.221043808$ |
$1$ |
|
$7$ |
$4718592$ |
$2.243355$ |
$6099383804/41507235$ |
$0.88913$ |
$3.89354$ |
$[0, 0, 0, 169197, 87867682]$ |
\(y^2=x^3+169197x+87867682\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(-133, 7938)]$ |
