| 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 |
| 2898.b1 |
2898b1 |
2898.b |
2898b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5280$ |
$0.793325$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.96446$ |
$[1, -1, 0, -11166, 456948]$ |
\(y^2+xy=x^3-x^2-11166x+456948\) |
3.8.0-3.a.1.2, 3864.16.0.? |
$[]$ |
| 2898.t1 |
2898m2 |
2898.t |
2898m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15840$ |
$1.342630$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.79133$ |
$[1, -1, 1, -100496, -12237101]$ |
\(y^2+xy+y=x^3-x^2-100496x-12237101\) |
3.8.0-3.a.1.1, 3864.16.0.? |
$[]$ |
| 20286.bf1 |
20286j1 |
20286.bf |
20286j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$253440$ |
$1.766281$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.16764$ |
$[1, -1, 0, -547143, -155638883]$ |
\(y^2+xy=x^3-x^2-547143x-155638883\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 552.8.0.?, 3864.16.0.? |
$[]$ |
| 20286.bi1 |
20286bt2 |
20286.bi |
20286bt |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$0.576931987$ |
$1$ |
|
$16$ |
$760320$ |
$2.315586$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.83228$ |
$[1, -1, 1, -4924289, 4207174129]$ |
\(y^2+xy+y=x^3-x^2-4924289x+4207174129\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 552.8.0.?, 3864.16.0.? |
$[(1129, 8696), (11533/3, -16970/3)]$ |
| 23184.e1 |
23184bb1 |
23184.e |
23184bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$6.908601668$ |
$1$ |
|
$2$ |
$126720$ |
$1.486473$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.76493$ |
$[0, 0, 0, -178659, -29066014]$ |
\(y^2=x^3-178659x-29066014\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 3864.16.0.? |
$[(3223, 181314)]$ |
| 23184.bv1 |
23184w2 |
23184.bv |
23184w |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$2.035778$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.42073$ |
$[0, 0, 0, -1607931, 784782378]$ |
\(y^2=x^3-1607931x+784782378\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 3864.16.0.? |
$[]$ |
| 66654.v1 |
66654b1 |
66654.v |
66654b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2787840$ |
$2.361073$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.25678$ |
$[1, -1, 0, -5906913, -5524245027]$ |
\(y^2+xy=x^3-x^2-5906913x-5524245027\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 168.8.0.?, 3864.16.0.? |
$[]$ |
| 66654.bf1 |
66654bf2 |
66654.bf |
66654bf |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$0.966965437$ |
$1$ |
|
$2$ |
$8363520$ |
$2.910378$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.85024$ |
$[1, -1, 1, -53162219, 149207777947]$ |
\(y^2+xy+y=x^3-x^2-53162219x+149207777947\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 168.8.0.?, 3864.16.0.? |
$[(4951, 83222)]$ |
| 72450.a1 |
72450e2 |
72450.a |
72450e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19320$ |
$16$ |
$0$ |
$19.51477806$ |
$1$ |
|
$0$ |
$1710720$ |
$2.147350$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.98844$ |
$[1, -1, 0, -2512392, -1532149984]$ |
\(y^2+xy=x^3-x^2-2512392x-1532149984\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 3864.8.0.?, 19320.16.0.? |
$[(1035829855/751, 2480733790594/751)]$ |
| 72450.dt1 |
72450cp1 |
72450.dt |
72450cp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19320$ |
$16$ |
$0$ |
$1.402563039$ |
$1$ |
|
$2$ |
$570240$ |
$1.598043$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.39940$ |
$[1, -1, 1, -279155, 56839347]$ |
\(y^2+xy+y=x^3-x^2-279155x+56839347\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 3864.8.0.?, 19320.16.0.? |
$[(305, -144)]$ |
| 92736.i1 |
92736cy2 |
92736.i |
92736cy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{9} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$2.382351$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.12733$ |
$[0, 0, 0, -6431724, 6278259024]$ |
\(y^2=x^3-6431724x+6278259024\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 1932.8.0.?, 3864.16.0.? |
$[]$ |
| 92736.r1 |
92736w2 |
92736.r |
92736w |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{9} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$10.67543597$ |
$1$ |
|
$0$ |
$3041280$ |
$2.382351$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.12733$ |
$[0, 0, 0, -6431724, -6278259024]$ |
\(y^2=x^3-6431724x-6278259024\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 966.8.0.?, 3864.16.0.? |
$[(153141/7, 22089969/7)]$ |
| 92736.fg1 |
92736df1 |
92736.fg |
92736df |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$12.82231525$ |
$1$ |
|
$0$ |
$1013760$ |
$1.833046$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.55101$ |
$[0, 0, 0, -714636, -232528112]$ |
\(y^2=x^3-714636x-232528112\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 1932.8.0.?, 3864.16.0.? |
$[(10730306/55, 34042264704/55)]$ |
| 92736.fh1 |
92736p1 |
92736.fh |
92736p |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 3^{3} \cdot 7^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$0.865908910$ |
$1$ |
|
$10$ |
$1013760$ |
$1.833046$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.55101$ |
$[0, 0, 0, -714636, 232528112]$ |
\(y^2=x^3-714636x+232528112\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 966.8.0.?, 3864.16.0.? |
$[(478, 384), (12206/5, 896/5)]$ |
| 162288.ba1 |
162288db2 |
162288.ba |
162288db |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$10.16115864$ |
$1$ |
|
$0$ |
$18247680$ |
$3.008732$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.51469$ |
$[0, 0, 0, -78788619, -269180355654]$ |
\(y^2=x^3-78788619x-269180355654\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[(7104909/19, 16523867808/19)]$ |
| 162288.fs1 |
162288el1 |
162288.fs |
162288el |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6082560$ |
$2.459427$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.96525$ |
$[0, 0, 0, -8754291, 9969642802]$ |
\(y^2=x^3-8754291x+9969642802\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[]$ |
| 350658.ca1 |
350658ca2 |
350658.ca |
350658ca |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$4.505412602$ |
$1$ |
|
$0$ |
$17107200$ |
$2.541580$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.74284$ |
$[1, -1, 0, -12159978, 16324061012]$ |
\(y^2+xy=x^3-x^2-12159978x+16324061012\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 3864.8.0.?, 42504.16.0.? |
$[(51181/5, 200381/5)]$ |
| 350658.cl1 |
350658cl1 |
350658.cl |
350658cl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$4.802242639$ |
$1$ |
|
$2$ |
$5702400$ |
$1.992273$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.22656$ |
$[1, -1, 1, -1351109, -604144483]$ |
\(y^2+xy+y=x^3-x^2-1351109x-604144483\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 3864.8.0.?, 42504.16.0.? |
$[(3369, 180178)]$ |
| 466578.c1 |
466578c1 |
466578.c |
466578c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{9} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$2.159950527$ |
$1$ |
|
$4$ |
$133816320$ |
$3.334026$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.36758$ |
$[1, -1, 0, -289438746, 1895394921748]$ |
\(y^2+xy=x^3-x^2-289438746x+1895394921748\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 483.8.0.?, 3864.16.0.? |
$[(9827, -4120)]$ |
| 466578.gf1 |
466578gf2 |
466578.gf |
466578gf |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{9} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$401448960$ |
$3.883335$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.87256$ |
$[1, -1, 1, -2604948716, -51173057938481]$ |
\(y^2+xy+y=x^3-x^2-2604948716x-51173057938481\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 483.8.0.?, 3864.16.0.? |
$[]$ |
| 489762.i1 |
489762i2 |
489762.i |
489762i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7^{3} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$32503680$ |
$2.625107$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.69840$ |
$[1, -1, 0, -16983771, -26935861627]$ |
\(y^2+xy=x^3-x^2-16983771x-26935861627\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 3864.8.0.?, 50232.16.0.? |
$[]$ |
| 489762.fa1 |
489762fa1 |
489762.fa |
489762fa |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10834560$ |
$2.075798$ |
$-5702623460245179/252448$ |
$1.02554$ |
$4.19528$ |
$[1, -1, 1, -1887086, 998253533]$ |
\(y^2+xy+y=x^3-x^2-1887086x+998253533\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 3864.8.0.?, 50232.16.0.? |
$[]$ |
