| 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 |
| 2415.g1 |
2415d1 |
2415.g |
2415d |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$966$ |
$16$ |
$0$ |
$0.732417504$ |
$1$ |
|
$8$ |
$432$ |
$-0.024906$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.95952$ |
$[0, 1, 1, -21, 110]$ |
\(y^2+y=x^3+x^2-21x+110\) |
3.8.0-3.a.1.2, 966.16.0.? |
$[(-6, 7)]$ |
| 7245.j1 |
7245u1 |
7245.j |
7245u |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$966$ |
$16$ |
$0$ |
$0.257765927$ |
$1$ |
|
$6$ |
$3456$ |
$0.524401$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.33534$ |
$[0, 0, 1, -192, -3168]$ |
\(y^2+y=x^3-192x-3168\) |
3.8.0-3.a.1.1, 966.16.0.? |
$[(62, 472)]$ |
| 12075.k1 |
12075g1 |
12075.k |
12075g |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.779813$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.48016$ |
$[0, -1, 1, -533, 14843]$ |
\(y^2+y=x^3-x^2-533x+14843\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 966.8.0.?, 4830.16.0.? |
$[]$ |
| 16905.o1 |
16905j1 |
16905.o |
16905j |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1.383924926$ |
$1$ |
|
$2$ |
$20736$ |
$0.948050$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.56725$ |
$[0, -1, 1, -1045, -39894]$ |
\(y^2+y=x^3-x^2-1045x-39894\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 138.8.0.?, 966.16.0.? |
$[(96, 857)]$ |
| 36225.bc1 |
36225be1 |
36225.bc |
36225be |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.329119$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.74387$ |
$[0, 0, 1, -4800, -395969]$ |
\(y^2+y=x^3-4800x-395969\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 966.8.0.?, 4830.16.0.? |
$[]$ |
| 38640.e1 |
38640bl1 |
38640.e |
38640bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$2.933498424$ |
$1$ |
|
$2$ |
$31104$ |
$0.668242$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.97014$ |
$[0, -1, 0, -341, -7395]$ |
\(y^2=x^3-x^2-341x-7395\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 966.8.0.?, 1932.16.0.? |
$[(28, 65)]$ |
| 50715.x1 |
50715y1 |
50715.x |
50715y |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{2} \cdot 7^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1.055989522$ |
$1$ |
|
$14$ |
$165888$ |
$1.497356$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.81394$ |
$[0, 0, 1, -9408, 1086538]$ |
\(y^2+y=x^3-9408x+1086538\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 138.8.0.?, 966.16.0.? |
$[(56, 857), (-14, 1102)]$ |
| 55545.p1 |
55545r1 |
55545.p |
55545r |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228096$ |
$1.542841$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.83215$ |
$[0, 1, 1, -11285, -1431244]$ |
\(y^2+y=x^3+x^2-11285x-1431244\) |
3.4.0.a.1, 42.8.0-3.a.1.1, 69.8.0-3.a.1.2, 966.16.0.? |
$[]$ |
| 84525.cb1 |
84525cf1 |
84525.cb |
84525cf |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.752768$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.91237$ |
$[0, 1, 1, -26133, -5038981]$ |
\(y^2+y=x^3+x^2-26133x-5038981\) |
3.4.0.a.1, 105.8.0.?, 690.8.0.?, 966.8.0.?, 4830.16.0.? |
$[]$ |
| 115920.dn1 |
115920ec1 |
115920.dn |
115920ec |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$1.217548$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.25560$ |
$[0, 0, 0, -3072, 202736]$ |
\(y^2=x^3-3072x+202736\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 966.8.0.?, 1932.16.0.? |
$[]$ |
| 154560.dh1 |
154560gd1 |
154560.dh |
154560gd |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$0.759740959$ |
$1$ |
|
$2$ |
$62208$ |
$0.321668$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.27746$ |
$[0, -1, 0, -85, 967]$ |
\(y^2=x^3-x^2-85x+967\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 966.8.0.?, 3864.16.0.? |
$[(-6, 35)]$ |
| 154560.hc1 |
154560z1 |
154560.hc |
154560z |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$2.350868116$ |
$1$ |
|
$2$ |
$62208$ |
$0.321668$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.27746$ |
$[0, 1, 0, -85, -967]$ |
\(y^2=x^3+x^2-85x-967\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 966.8.0.?, 3864.16.0.? |
$[(16, 45)]$ |
| 166635.x1 |
166635bf1 |
166635.x |
166635bf |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$0.539830372$ |
$1$ |
|
$4$ |
$1824768$ |
$2.092148$ |
$-1073741824/5325075$ |
$1.05379$ |
$4.03023$ |
$[0, 0, 1, -101568, 38542014]$ |
\(y^2+y=x^3-101568x+38542014\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 69.8.0-3.a.1.1, 966.16.0.? |
$[(-184, 7141)]$ |
| 193200.gg1 |
193200bb1 |
193200.gg |
193200bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.472960$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.37078$ |
$[0, 1, 0, -8533, -941437]$ |
\(y^2=x^3+x^2-8533x-941437\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 966.8.0.?, 9660.16.0.? |
$[]$ |
| 253575.cv1 |
253575cv1 |
253575.cv |
253575cv |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{9} \cdot 5^{8} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1.421856863$ |
$1$ |
|
$4$ |
$3981312$ |
$2.302074$ |
$-1073741824/5325075$ |
$1.05379$ |
$4.09669$ |
$[0, 0, 1, -235200, 135817281]$ |
\(y^2+y=x^3-235200x+135817281\) |
3.4.0.a.1, 105.8.0.?, 690.8.0.?, 966.8.0.?, 4830.16.0.? |
$[(665, 16537)]$ |
| 270480.hq1 |
270480hq1 |
270480.hq |
270480hq |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1932$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$1.641197$ |
$-1073741824/5325075$ |
$1.05379$ |
$3.44151$ |
$[0, 1, 0, -16725, 2569923]$ |
\(y^2=x^3+x^2-16725x+2569923\) |
3.4.0.a.1, 84.8.0.?, 276.8.0.?, 966.8.0.?, 1932.16.0.? |
$[]$ |
| 277725.bj1 |
277725bj1 |
277725.bj |
277725bj |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1.871782833$ |
$1$ |
|
$2$ |
$5474304$ |
$2.347561$ |
$-1073741824/5325075$ |
$1.05379$ |
$4.11050$ |
$[0, -1, 1, -282133, -178341207]$ |
\(y^2+y=x^3-x^2-282133x-178341207\) |
3.4.0.a.1, 210.8.0.?, 345.8.0.?, 966.8.0.?, 4830.16.0.? |
$[(5597, 416587)]$ |
| 292215.r1 |
292215r1 |
292215.r |
292215r |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10626$ |
$16$ |
$0$ |
$4.247669322$ |
$1$ |
|
$2$ |
$583200$ |
$1.174042$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.97494$ |
$[0, 1, 1, -2581, -157019]$ |
\(y^2+y=x^3+x^2-2581x-157019\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 966.8.0.?, 10626.16.0.? |
$[(287, 4777)]$ |
| 388815.bm1 |
388815bm1 |
388815.bm |
388815bm |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{9} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$3.582253135$ |
$1$ |
|
$2$ |
$10948608$ |
$2.515797$ |
$-1073741824/5325075$ |
$1.05379$ |
$4.15990$ |
$[0, -1, 1, -552981, 489810656]$ |
\(y^2+y=x^3-x^2-552981x+489810656\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 483.8.0.?, 966.16.0.? |
$[(1388, 48932)]$ |
| 408135.bd1 |
408135bd1 |
408135.bd |
408135bd |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 13^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$0.960793997$ |
$1$ |
|
$4$ |
$933120$ |
$1.257568$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.97559$ |
$[0, 1, 1, -3605, 256559]$ |
\(y^2+y=x^3+x^2-3605x+256559\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 966.8.0.?, 12558.16.0.? |
$[(121, 1267)]$ |
| 463680.x1 |
463680x1 |
463680.x |
463680x |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1.063309126$ |
$1$ |
|
$2$ |
$497664$ |
$0.870974$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.59092$ |
$[0, 0, 0, -768, 25342]$ |
\(y^2=x^3-768x+25342\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 966.8.0.?, 3864.16.0.? |
$[(11, 135)]$ |
| 463680.gn1 |
463680gn1 |
463680.gn |
463680gn |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$0.870974$ |
$-1073741824/5325075$ |
$1.05379$ |
$2.59092$ |
$[0, 0, 0, -768, -25342]$ |
\(y^2=x^3-768x-25342\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 966.8.0.?, 3864.16.0.? |
$[]$ |
