| 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 |
| 1914.o1 |
1914o1 |
1914.o |
1914o |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 11 \cdot 29 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$1200$ |
$0.541175$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.09019$ |
$[1, 0, 0, -585, 5913]$ |
\(y^2+xy=x^3-585x+5913\) |
5.24.0-5.a.1.2, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 5742.e1 |
5742e1 |
5742.e |
5742e |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$2.706802946$ |
$1$ |
|
$2$ |
$9600$ |
$1.090481$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.33260$ |
$[1, -1, 0, -5265, -159651]$ |
\(y^2+xy=x^3-x^2-5265x-159651\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 7656.2.0.?, 12760.24.0.?, 38280.48.1.? |
$[(135, 1188)]$ |
| 15312.e1 |
15312k1 |
15312.e |
15312k |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29 \) |
\( - 2^{27} \cdot 3^{5} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.234322$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.07073$ |
$[0, -1, 0, -9360, -378432]$ |
\(y^2=x^3-x^2-9360x-378432\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 21054.q1 |
21054p1 |
21054.q |
21054p |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 11^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$144000$ |
$1.740122$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.55022$ |
$[1, 0, 1, -70788, -7940990]$ |
\(y^2+xy+y=x^3-70788x-7940990\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 3480.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 45936.r1 |
45936bt1 |
45936.r |
45936bt |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( - 2^{27} \cdot 3^{11} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1.370962745$ |
$1$ |
|
$4$ |
$230400$ |
$1.783628$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.26817$ |
$[0, 0, 0, -84243, 10301906]$ |
\(y^2=x^3-84243x+10301906\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 7656.2.0.?, 12760.24.0.?, 38280.48.1.? |
$[(185, 1024)]$ |
| 47850.d1 |
47850n1 |
47850.d |
47850n |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{6} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$168000$ |
$1.345894$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.76454$ |
$[1, 1, 0, -14625, 739125]$ |
\(y^2+xy=x^3+x^2-14625x+739125\) |
5.24.0-5.a.1.1, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 55506.h1 |
55506a1 |
55506.h |
55506a |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 11 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$4.441451386$ |
$1$ |
|
$2$ |
$1008000$ |
$2.224823$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.67887$ |
$[1, 1, 0, -492002, 145196148]$ |
\(y^2+xy=x^3+x^2-492002x+145196148\) |
5.12.0.a.1, 145.24.0.?, 1320.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(5599, 413075)]$ |
| 61248.n1 |
61248f1 |
61248.n |
61248f |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( - 2^{33} \cdot 3^{5} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.580896$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.93607$ |
$[0, -1, 0, -37441, 3064897]$ |
\(y^2=x^3-x^2-37441x+3064897\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 7656.2.0.?, 19140.24.0.?, 38280.48.1.? |
$[]$ |
| 61248.bt1 |
61248cj1 |
61248.bt |
61248cj |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( - 2^{33} \cdot 3^{5} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1.833110809$ |
$1$ |
|
$2$ |
$230400$ |
$1.580896$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.93607$ |
$[0, 1, 0, -37441, -3064897]$ |
\(y^2=x^3+x^2-37441x-3064897\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 7656.2.0.?, 9570.24.0.?, 38280.48.1.? |
$[(559, 12288)]$ |
| 63162.bn1 |
63162cb1 |
63162.bn |
63162cb |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 11^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$0.227699903$ |
$1$ |
|
$26$ |
$1152000$ |
$2.289429$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.69432$ |
$[1, -1, 1, -637088, 214406723]$ |
\(y^2+xy+y=x^3-x^2-637088x+214406723\) |
5.12.0.a.1, 165.24.0.?, 1160.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(2973, 155329), (69, 13033)]$ |
| 93786.ca1 |
93786cc1 |
93786.ca |
93786cc |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 7^{6} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$267960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$396000$ |
$1.514130$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.71960$ |
$[1, 1, 1, -28666, -2056825]$ |
\(y^2+xy+y=x^3+x^2-28666x-2056825\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 7656.2.0.?, 38280.24.1.?, 267960.48.1.? |
$[]$ |
| 143550.dm1 |
143550v1 |
143550.dm |
143550v |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1344000$ |
$1.895201$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.97136$ |
$[1, -1, 1, -131630, -20088003]$ |
\(y^2+xy+y=x^3-x^2-131630x-20088003\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 7656.2.0.?, 12760.24.0.?, 38280.48.1.? |
$[]$ |
| 166518.bo1 |
166518j1 |
166518.bo |
166518j |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( - 2^{15} \cdot 3^{11} \cdot 11 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$8064000$ |
$2.774128$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.79959$ |
$[1, -1, 1, -4428023, -3924724017]$ |
\(y^2+xy+y=x^3-x^2-4428023x-3924724017\) |
5.12.0.a.1, 435.24.0.?, 440.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 168432.t1 |
168432bs1 |
168432.t |
168432bs |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{27} \cdot 3^{5} \cdot 11^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$2.433270$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.45515$ |
$[0, -1, 0, -1132600, 508223344]$ |
\(y^2=x^3-x^2-1132600x+508223344\) |
5.12.0.a.1, 220.24.0.?, 3480.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[]$ |
| 183744.de1 |
183744bc1 |
183744.de |
183744bc |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( - 2^{33} \cdot 3^{11} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$3.461000028$ |
$1$ |
|
$2$ |
$1843200$ |
$2.130203$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.12313$ |
$[0, 0, 0, -336972, 82415248]$ |
\(y^2=x^3-336972x+82415248\) |
5.12.0.a.1, 120.24.0.?, 3190.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(704, 13932)]$ |
| 183744.dp1 |
183744df1 |
183744.dp |
183744df |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( - 2^{33} \cdot 3^{11} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$12.13009548$ |
$1$ |
|
$0$ |
$1843200$ |
$2.130203$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.12313$ |
$[0, 0, 0, -336972, -82415248]$ |
\(y^2=x^3-336972x-82415248\) |
5.12.0.a.1, 120.24.0.?, 6380.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(39988942/241, 48395759616/241)]$ |
| 281358.bk1 |
281358bk1 |
281358.bk |
281358bk |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 7^{6} \cdot 11 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$267960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3168000$ |
$2.063435$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.91926$ |
$[1, -1, 0, -257994, 55276276]$ |
\(y^2+xy=x^3-x^2-257994x+55276276\) |
5.12.0.a.1, 105.24.0.?, 7656.2.0.?, 38280.24.1.?, 89320.24.0.?, $\ldots$ |
$[]$ |
| 323466.bb1 |
323466bb1 |
323466.bb |
323466bb |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 11 \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$497640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2808000$ |
$1.823650$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.64938$ |
$[1, 0, 1, -98869, 13089728]$ |
\(y^2+xy+y=x^3-98869x+13089728\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 7656.2.0.?, 38280.24.1.?, 497640.48.1.? |
$[]$ |
| 382800.hd1 |
382800hd1 |
382800.hd |
382800hd |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{27} \cdot 3^{5} \cdot 5^{6} \cdot 11 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$6.028371982$ |
$1$ |
|
$0$ |
$4032000$ |
$2.039040$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$3.80263$ |
$[0, 1, 0, -234008, -47772012]$ |
\(y^2=x^3+x^2-234008x-47772012\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 7656.2.0.?, 38280.48.1.? |
$[(69526/7, 17077248/7)]$ |
| 444048.cf1 |
444048cf1 |
444048.cf |
444048cf |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 11 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$24192000$ |
$2.917969$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.57031$ |
$[0, 1, 0, -7872040, -9308297548]$ |
\(y^2=x^3+x^2-7872040x-9308297548\) |
5.12.0.a.1, 580.24.0.?, 1320.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[]$ |
