| 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 |
| 6006.d3 |
6006h2 |
6006.d |
6006h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.405028931$ |
$1$ |
|
$8$ |
$43008$ |
$1.707384$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.22788$ |
$[1, 1, 0, -80061, 8413245]$ |
\(y^2+xy=x^3+x^2-80061x+8413245\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 84.12.0.?, 88.24.0.?, $\ldots$ |
$[(213, 933)]$ |
| 18018.bp3 |
18018bk2 |
18018.bp |
18018bk |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$344064$ |
$2.256691$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.31445$ |
$[1, -1, 1, -720554, -227878167]$ |
\(y^2+xy+y=x^3-x^2-720554x-227878167\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 42042.bp3 |
42042bp2 |
42042.bp |
42042bp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.404050771$ |
$1$ |
|
$8$ |
$2064384$ |
$2.680340$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.36901$ |
$[1, 0, 1, -3923015, -2897512054]$ |
\(y^2+xy+y=x^3-3923015x-2897512054\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 88.12.0.?, 168.24.0.?, $\ldots$ |
$[(-1296, 3865)]$ |
| 48048.bq3 |
48048cb2 |
48048.bq |
48048cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$3.270383412$ |
$1$ |
|
$9$ |
$1032192$ |
$2.400532$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$4.99102$ |
$[0, 1, 0, -1280984, -541009644]$ |
\(y^2=x^3+x^2-1280984x-541009644\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 84.12.0.?, 88.24.0.?, $\ldots$ |
$[(-620, 3906)]$ |
| 66066.bp3 |
66066br2 |
66066.bp |
66066br |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{8} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.415603860$ |
$1$ |
|
$32$ |
$5160960$ |
$2.906330$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.39470$ |
$[1, 1, 1, -9687444, -11246466219]$ |
\(y^2+xy+y=x^3+x^2-9687444x-11246466219\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 168.24.0.?, 924.24.0.?, $\ldots$ |
$[(-1743, 19505), (4725, 217857)]$ |
| 78078.cn3 |
78078bu2 |
78078.cn |
78078bu |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7225344$ |
$2.989857$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.40368$ |
$[1, 1, 1, -13530397, 18551551091]$ |
\(y^2+xy+y=x^3+x^2-13530397x+18551551091\) |
2.6.0.a.1, 88.12.0.?, 104.12.0.?, 168.12.0.?, 572.12.0.?, $\ldots$ |
$[]$ |
| 126126.dv3 |
126126fi2 |
126126.dv |
126126fi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{8} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$0.794121585$ |
$1$ |
|
$16$ |
$16515072$ |
$3.229645$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.42803$ |
$[1, -1, 1, -35307131, 78232825451]$ |
\(y^2+xy+y=x^3-x^2-35307131x+78232825451\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 168.24.0.?, 924.24.0.?, $\ldots$ |
$[(27, 277978)]$ |
| 144144.dk3 |
144144bu2 |
144144.dk |
144144bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.949837$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.08434$ |
$[0, 0, 0, -11528859, 14595731530]$ |
\(y^2=x^3-11528859x+14595731530\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 150150.ft3 |
150150x2 |
150150.ft |
150150x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9240$ |
$48$ |
$0$ |
$0.215720996$ |
$1$ |
|
$28$ |
$5505024$ |
$2.512104$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$4.62623$ |
$[1, 0, 0, -2001538, 1055658692]$ |
\(y^2+xy=x^3-2001538x+1055658692\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 88.12.0.?, 168.12.0.?, 220.12.0.?, $\ldots$ |
$[(452, 15374)]$ |
| 192192.dk3 |
192192dj2 |
192192.dk |
192192dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$8257536$ |
$2.747105$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$4.76416$ |
$[0, -1, 0, -5123937, -4322953215]$ |
\(y^2=x^3-x^2-5123937x-4322953215\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 168.24.0.?, 924.24.0.?, $\ldots$ |
$[]$ |
| 192192.hq3 |
192192fq2 |
192192.hq |
192192fq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8257536$ |
$2.747105$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$4.76416$ |
$[0, 1, 0, -5123937, 4322953215]$ |
\(y^2=x^3+x^2-5123937x+4322953215\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 168.24.0.?, 924.24.0.?, $\ldots$ |
$[]$ |
| 198198.bw3 |
198198ea2 |
198198.bw |
198198ea |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{2} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$41287680$ |
$3.455639$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.44922$ |
$[1, -1, 0, -87186996, 303567400912]$ |
\(y^2+xy=x^3-x^2-87186996x+303567400912\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.2, 88.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 234234.h3 |
234234h2 |
234234.h |
234234h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$24024$ |
$48$ |
$0$ |
$10.80124661$ |
$1$ |
|
$2$ |
$57802752$ |
$3.539165$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.45667$ |
$[1, -1, 0, -121773573, -501013653035]$ |
\(y^2+xy=x^3-x^2-121773573x-501013653035\) |
2.6.0.a.1, 88.12.0.?, 168.12.0.?, 312.12.0.?, 364.12.0.?, $\ldots$ |
$[(-2149749/19, 800805719/19)]$ |
| 336336.dq3 |
336336dq2 |
336336.dq |
336336dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49545216$ |
$3.373486$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.14531$ |
$[0, -1, 0, -62768232, 185440771440]$ |
\(y^2=x^3-x^2-62768232x+185440771440\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 88.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 450450.bn3 |
450450bn2 |
450450.bn |
450450bn |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9240$ |
$48$ |
$0$ |
$2.476979108$ |
$1$ |
|
$12$ |
$44040192$ |
$3.061409$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$4.74217$ |
$[1, -1, 0, -18013842, -28502784684]$ |
\(y^2+xy=x^3-x^2-18013842x-28502784684\) |
2.6.0.a.1, 88.12.0.?, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(-2721, 20373)]$ |
| 462462.kc3 |
462462kc2 |
462462.kc |
462462kc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{8} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.393573898$ |
$1$ |
|
$8$ |
$247726080$ |
$3.879288$ |
$56753835752958457177/2022564252893184$ |
$0.97664$ |
$5.48500$ |
$[1, 0, 0, -474684757, 3856113858785]$ |
\(y^2+xy=x^3-474684757x+3856113858785\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 28.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(8054, 741263)]$ |
