| 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 |
| 4830.z1 |
4830y4 |
4830.z |
4830y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$0.305135833$ |
$1$ |
|
$10$ |
$614400$ |
$2.988178$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.53146$ |
$[1, 1, 1, -36920100, 86327581317]$ |
\(y^2+xy+y=x^3+x^2-36920100x+86327581317\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(3537, 681)]$ |
| 14490.l1 |
14490n3 |
14490.l |
14490n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$5.863610449$ |
$1$ |
|
$2$ |
$4915200$ |
$3.537483$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.35586$ |
$[1, -1, 0, -332280900, -2331176976464]$ |
\(y^2+xy=x^3-x^2-332280900x-2331176976464\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(21287, 480410)]$ |
| 24150.bd1 |
24150x4 |
24150.bd |
24150x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{5} \cdot 3 \cdot 5^{11} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$14745600$ |
$3.792896$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.28723$ |
$[1, 0, 1, -923002501, 10792793669648]$ |
\(y^2+xy+y=x^3-923002501x+10792793669648\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 33810.cz1 |
33810cx4 |
33810.cz |
33810cx |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 7^{22} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$23.30564481$ |
$4$ |
$2$ |
$0$ |
$29491200$ |
$3.961132$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.24570$ |
$[1, 0, 0, -1809084901, -29615787646495]$ |
\(y^2+xy=x^3-1809084901x-29615787646495\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(18884163904/411, 2366089649265011/411)]$ |
| 38640.cq1 |
38640cu4 |
38640.cq |
38640cu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14745600$ |
$3.681328$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.83619$ |
$[0, 1, 0, -590721600, -5526146647500]$ |
\(y^2=x^3+x^2-590721600x-5526146647500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 72450.dc1 |
72450dt4 |
72450.dc |
72450dt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{11} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$117964800$ |
$4.342201$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.16086$ |
$[1, -1, 1, -8307022505, -291405429080503]$ |
\(y^2+xy+y=x^3-x^2-8307022505x-291405429080503\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[]$ |
| 101430.cd1 |
101430ca4 |
101430.cd |
101430ca |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{5} \cdot 7^{22} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$235929600$ |
$4.510437$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.12698$ |
$[1, -1, 0, -16281764109, 799626266455365]$ |
\(y^2+xy=x^3-x^2-16281764109x+799626266455365\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 111090.bp1 |
111090bn4 |
111090.bp |
111090bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$27.53009618$ |
$4$ |
$2$ |
$0$ |
$324403200$ |
$4.555923$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.11815$ |
$[1, 1, 1, -19530732911, -1050542989215211]$ |
\(y^2+xy+y=x^3+x^2-19530732911x-1050542989215211\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[(32870242645321/6425, 185223598293858404356/6425)]$ |
| 115920.q1 |
115920cz4 |
115920.q |
115920cz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$117964800$ |
$4.230629$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.75741$ |
$[0, 0, 0, -5316494403, 149200642988098]$ |
\(y^2=x^3-5316494403x+149200642988098\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[]$ |
| 154560.n1 |
154560dp4 |
154560.n |
154560dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$117964800$ |
$4.027901$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.39110$ |
$[0, -1, 0, -2362886401, -44206810293599]$ |
\(y^2=x^3-x^2-2362886401x-44206810293599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 154560.fu1 |
154560fe3 |
154560.fu |
154560fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$117964800$ |
$4.027901$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.39110$ |
$[0, 1, 0, -2362886401, 44206810293599]$ |
\(y^2=x^3+x^2-2362886401x+44206810293599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 169050.w1 |
169050ii4 |
169050.w |
169050ii |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{5} \cdot 3 \cdot 5^{11} \cdot 7^{22} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$707788800$ |
$4.765854$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.07915$ |
$[1, 1, 0, -45227122525, -3701973455811875]$ |
\(y^2+xy=x^3+x^2-45227122525x-3701973455811875\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 193200.cr1 |
193200dx4 |
193200.cr |
193200dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3 \cdot 5^{11} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$353894400$ |
$4.486046$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.72562$ |
$[0, -1, 0, -14768040008, -690738794857488]$ |
\(y^2=x^3-x^2-14768040008x-690738794857488\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 270480.bl1 |
270480bl3 |
270480.bl |
270480bl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 3 \cdot 5^{5} \cdot 7^{22} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$57.26268052$ |
$1$ |
|
$1$ |
$707788800$ |
$4.654282$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.70610$ |
$[0, -1, 0, -28945358416, 1895410409375680]$ |
\(y^2=x^3-x^2-28945358416x+1895410409375680\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(20531362652053764125933946/10664512141, 61285995576482570511185243474625749182/10664512141)]$ |
| 333270.bq1 |
333270bq3 |
333270.bq |
333270bq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{5} \cdot 7^{16} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2595225600$ |
$5.105232$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$7.02155$ |
$[1, -1, 0, -175776596199, 28364484932214493]$ |
\(y^2+xy=x^3-x^2-175776596199x+28364484932214493\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[]$ |
| 463680.jj1 |
463680jj3 |
463680.jj |
463680jj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$16.30204997$ |
$1$ |
|
$1$ |
$943718400$ |
$4.577202$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.35817$ |
$[0, 0, 0, -21265977612, 1193605143904784]$ |
\(y^2=x^3-21265977612x+1193605143904784\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(502034432/77, 57503373460/77)]$ |
| 463680.my1 |
463680my4 |
463680.my |
463680my |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$943718400$ |
$4.577202$ |
$5565604209893236690185614401/229307220930246900000$ |
$1.03508$ |
$6.35817$ |
$[0, 0, 0, -21265977612, -1193605143904784]$ |
\(y^2=x^3-21265977612x-1193605143904784\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
