| 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 |
| 16170.bo1 |
16170bp2 |
16170.bo |
16170bp |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$254016$ |
$1.948635$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.88893$ |
$[1, 1, 1, -132105, 22411227]$ |
\(y^2+xy+y=x^3+x^2-132105x+22411227\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 132.8.0.?, 924.16.0.? |
$[]$ |
| 16170.bv1 |
16170bv2 |
16170.bv |
16170bv |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$132$ |
$16$ |
$0$ |
$2.086210169$ |
$1$ |
|
$2$ |
$36288$ |
$0.975680$ |
$-902612375329/249562500$ |
$0.94374$ |
$3.68415$ |
$[1, 0, 0, -2696, -65724]$ |
\(y^2+xy=x^3-2696x-65724\) |
3.8.0-3.a.1.1, 132.16.0.? |
$[(96, 702)]$ |
| 48510.x1 |
48510bd2 |
48510.x |
48510bd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2032128$ |
$2.497940$ |
$-902612375329/249562500$ |
$0.94374$ |
$5.00206$ |
$[1, -1, 0, -1188945, -606292079]$ |
\(y^2+xy=x^3-x^2-1188945x-606292079\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 132.8.0.?, 924.16.0.? |
$[]$ |
| 48510.bp1 |
48510bh2 |
48510.bp |
48510bh |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} \cdot 11^{3} \) |
$2$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$132$ |
$16$ |
$0$ |
$0.314340776$ |
$1$ |
|
$52$ |
$290304$ |
$1.524986$ |
$-902612375329/249562500$ |
$0.94374$ |
$3.91995$ |
$[1, -1, 0, -24264, 1774548]$ |
\(y^2+xy=x^3-x^2-24264x+1774548\) |
3.8.0-3.a.1.2, 132.16.0.? |
$[(114, 636), (72, 594)]$ |
| 80850.s1 |
80850a2 |
80850.s |
80850a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3 \cdot 5^{12} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$5.437861184$ |
$1$ |
|
$2$ |
$870912$ |
$1.780399$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.01398$ |
$[1, 1, 0, -67400, -8215500]$ |
\(y^2+xy=x^3+x^2-67400x-8215500\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 132.8.0.?, 660.16.0.? |
$[(1470, 54690)]$ |
| 80850.ca1 |
80850cd2 |
80850.ca |
80850cd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3 \cdot 5^{12} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$9.857813676$ |
$1$ |
|
$0$ |
$6096384$ |
$2.753353$ |
$-902612375329/249562500$ |
$0.94374$ |
$5.04717$ |
$[1, 0, 1, -3302626, 2808008648]$ |
\(y^2+xy+y=x^3-3302626x+2808008648\) |
3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.? |
$[(56167/9, 21018709/9)]$ |
| 129360.bi1 |
129360dq2 |
129360.bi |
129360dq |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.035812432$ |
$1$ |
|
$4$ |
$870912$ |
$1.668827$ |
$-902612375329/249562500$ |
$0.94374$ |
$3.73995$ |
$[0, -1, 0, -43136, 4206336]$ |
\(y^2=x^3-x^2-43136x+4206336\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0-3.a.1.1, 132.16.0.? |
$[(-134, 2750)]$ |
| 129360.ia1 |
129360ie2 |
129360.ia |
129360ie |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6096384$ |
$2.641781$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.73188$ |
$[0, 1, 0, -2113680, -1438545900]$ |
\(y^2=x^3+x^2-2113680x-1438545900\) |
3.4.0.a.1, 84.8.0.?, 132.8.0.?, 462.8.0.?, 924.16.0.? |
$[]$ |
| 177870.bj1 |
177870hh2 |
177870.bj |
177870hh |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30481920$ |
$3.147583$ |
$-902612375329/249562500$ |
$0.94374$ |
$5.10932$ |
$[1, 1, 0, -15984707, -29909266911]$ |
\(y^2+xy=x^3+x^2-15984707x-29909266911\) |
3.4.0.a.1, 84.8.0.?, 132.8.0.?, 231.8.0.?, 924.16.0.? |
$[]$ |
| 177870.da1 |
177870gy2 |
177870.da |
177870gy |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.606139536$ |
$1$ |
|
$0$ |
$4354560$ |
$2.174629$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.14351$ |
$[1, 0, 1, -326219, 87152426]$ |
\(y^2+xy+y=x^3-326219x+87152426\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 33.8.0-3.a.1.1, 132.16.0.? |
$[(4237/3, 160006/3)]$ |
| 242550.mb1 |
242550mb2 |
242550.mb |
242550mb |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{12} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$8.975352654$ |
$1$ |
|
$0$ |
$48771072$ |
$3.302662$ |
$-902612375329/249562500$ |
$0.94374$ |
$5.13160$ |
$[1, -1, 1, -29723630, -75816233503]$ |
\(y^2+xy+y=x^3-x^2-29723630x-75816233503\) |
3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.? |
$[(103389/4, 2580715/4)]$ |
| 242550.oe1 |
242550oe2 |
242550.oe |
242550oe |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{12} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6967296$ |
$2.329704$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.18995$ |
$[1, -1, 1, -606605, 221211897]$ |
\(y^2+xy+y=x^3-x^2-606605x+221211897\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 132.8.0.?, 660.16.0.? |
$[]$ |
| 388080.dr1 |
388080dr2 |
388080.dr |
388080dr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{6} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48771072$ |
$3.191090$ |
$-902612375329/249562500$ |
$0.94374$ |
$4.84014$ |
$[0, 0, 0, -19023123, 38821716178]$ |
\(y^2=x^3-19023123x+38821716178\) |
3.4.0.a.1, 84.8.0.?, 132.8.0.?, 462.8.0.?, 924.16.0.? |
$[]$ |
| 388080.ib1 |
388080ib2 |
388080.ib |
388080ib |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{6} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6967296$ |
$2.218132$ |
$-902612375329/249562500$ |
$0.94374$ |
$3.93289$ |
$[0, 0, 0, -388227, -113182846]$ |
\(y^2=x^3-388227x-113182846\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 66.8.0-3.a.1.2, 132.16.0.? |
$[]$ |
