| 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 |
| 12090.k2 |
12090h3 |
12090.k |
12090h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$16120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1892352$ |
$3.218204$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.65303$ |
$[1, 0, 1, -23564614, 35574764312]$ |
\(y^2+xy+y=x^3-23564614x+35574764312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$ |
$[ ]$ |
| 36270.bv2 |
36270bq3 |
36270.bv |
36270bq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15138816$ |
$3.767509$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.58470$ |
$[1, -1, 1, -212081522, -960518636431]$ |
\(y^2+xy+y=x^3-x^2-212081522x-960518636431\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 60450.by2 |
60450by3 |
60450.by |
60450by |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{9} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$16120$ |
$48$ |
$0$ |
$1.073862555$ |
$1$ |
|
$6$ |
$45416448$ |
$4.022926$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.55757$ |
$[1, 1, 1, -589115338, 4446845539031]$ |
\(y^2+xy+y=x^3+x^2-589115338x+4446845539031\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 3224.24.0.?, 16120.48.0.? |
$[(-11795, 3129147)]$ |
| 96720.o2 |
96720be3 |
96720.o |
96720be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{23} \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$16120$ |
$48$ |
$0$ |
$20.22880621$ |
$1$ |
|
$1$ |
$45416448$ |
$3.911350$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.17245$ |
$[0, -1, 0, -377033816, -2276784915984]$ |
\(y^2=x^3-x^2-377033816x-2276784915984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
$[(-107244323102/3659, 23459296562379626/3659)]$ |
| 157170.dh2 |
157170j4 |
157170.dh |
157170j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{10} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16120$ |
$48$ |
$0$ |
$0.315981336$ |
$1$ |
|
$12$ |
$317915136$ |
$4.500679$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.51304$ |
$[1, 0, 0, -3982419685, 78161739613697]$ |
\(y^2+xy=x^3-3982419685x+78161739613697\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[(-46786, 12754163)]$ |
| 181350.bf2 |
181350dv3 |
181350.bf |
181350dv |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 31 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{9} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$23.00443936$ |
$1$ |
|
$0$ |
$363331584$ |
$4.572227$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.50698$ |
$[1, -1, 0, -5302038042, -120070131591884]$ |
\(y^2+xy=x^3-x^2-5302038042x-120070131591884\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(-8204636905675/16732, 14987082159988421003/16732)]$ |
| 290160.ec2 |
290160ec4 |
290160.ec |
290160ec |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{23} \cdot 3^{22} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1.957612799$ |
$1$ |
|
$7$ |
$363331584$ |
$4.460655$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.15739$ |
$[0, 0, 0, -3393304347, 61476586035914]$ |
\(y^2=x^3-3393304347x+61476586035914\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.v.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(-60547, 6705920)]$ |
| 374790.h2 |
374790h3 |
374790.h |
374790h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16120$ |
$48$ |
$0$ |
$52.65206047$ |
$1$ |
|
$0$ |
$1816657920$ |
$4.935196$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.47830$ |
$[1, 1, 0, -22645593593, -1059875740407003]$ |
\(y^2+xy=x^3+x^2-22645593593x-1059875740407003\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[(-60367958269326199837825301/23011314961, 77868490572616801920847978973596871150/23011314961)]$ |
| 386880.dj2 |
386880dj4 |
386880.dj |
386880dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{29} \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$16120$ |
$48$ |
$0$ |
$4.852480412$ |
$1$ |
|
$1$ |
$363331584$ |
$4.257927$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$5.83062$ |
$[0, -1, 0, -1508135265, 18215787463137]$ |
\(y^2=x^3-x^2-1508135265x+18215787463137\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 3224.24.0.?, 16120.48.0.? |
$[(4808529/19, 4803701760/19)]$ |
| 386880.ht2 |
386880ht3 |
386880.ht |
386880ht |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 2^{29} \cdot 3^{16} \cdot 5^{3} \cdot 13^{4} \cdot 31^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$16120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$363331584$ |
$4.257927$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$5.83062$ |
$[0, 1, 0, -1508135265, -18215787463137]$ |
\(y^2=x^3+x^2-1508135265x-18215787463137\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 3224.24.0.?, 16120.48.0.? |
$[ ]$ |
| 471510.m2 |
471510m3 |
471510.m |
471510m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{3} \cdot 13^{10} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$17.30346037$ |
$1$ |
|
$0$ |
$2543321088$ |
$5.049988$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.46990$ |
$[1, -1, 0, -35841777165, -2110366969569819]$ |
\(y^2+xy=x^3-x^2-35841777165x-2110366969569819\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 312.12.0.?, 744.12.0.?, $\ldots$ |
$[(163776864255/719, 50266337720431071/719)]$ |
| 483600.fv2 |
483600fv3 |
483600.fv |
483600fv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \) |
\( 2^{23} \cdot 3^{16} \cdot 5^{9} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$16120$ |
$48$ |
$0$ |
$2.429108872$ |
$1$ |
|
$7$ |
$1089994752$ |
$4.716072$ |
$1447120434734326449115621849/290670009882258329856000$ |
$1.02017$ |
$6.15125$ |
$[0, 1, 0, -9425845408, -284616966188812]$ |
\(y^2=x^3+x^2-9425845408x-284616966188812\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 3224.24.0.?, 16120.48.0.? |
$[(-36646, 3404544)]$ |
