| 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 |
| 3990.p2 |
3990p2 |
3990.p |
3990p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$0.616474067$ |
$1$ |
|
$18$ |
$12288$ |
$1.392366$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.86646$ |
$[1, 0, 1, -14458, -463444]$ |
\(y^2+xy+y=x^3-14458x-463444\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[(-80, 467)]$ |
| 11970.bg2 |
11970bp2 |
11970.bg |
11970bp |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1.218829250$ |
$1$ |
|
$14$ |
$98304$ |
$1.941671$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.99908$ |
$[1, -1, 1, -130118, 12512981]$ |
\(y^2+xy+y=x^3-x^2-130118x+12512981\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[(-95, 4947)]$ |
| 19950.ci2 |
19950by2 |
19950.ci |
19950by |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1.097027000$ |
$1$ |
|
$12$ |
$294912$ |
$2.197086$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.05072$ |
$[1, 1, 1, -361438, -57930469]$ |
\(y^2+xy+y=x^3+x^2-361438x-57930469\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(-425, 4587)]$ |
| 27930.g2 |
27930g2 |
27930.g |
27930g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$3.494266862$ |
$1$ |
|
$6$ |
$589824$ |
$2.365322$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.08192$ |
$[1, 1, 0, -708418, 158252788]$ |
\(y^2+xy=x^3+x^2-708418x+158252788\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[(217, 3739)]$ |
| 31920.bc2 |
31920bf2 |
31920.bc |
31920bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1.214288005$ |
$1$ |
|
$13$ |
$294912$ |
$2.085514$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.69273$ |
$[0, -1, 0, -231320, 29660400]$ |
\(y^2=x^3-x^2-231320x+29660400\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[(410, 1890)]$ |
| 59850.cu2 |
59850bs2 |
59850.cu |
59850bs |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$2.102384670$ |
$1$ |
|
$8$ |
$2359296$ |
$2.746391$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.14554$ |
$[1, -1, 0, -3252942, 1560869716]$ |
\(y^2+xy=x^3-x^2-3252942x+1560869716\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(1820, 39914)]$ |
| 75810.cj2 |
75810cl2 |
75810.cj |
75810cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4423680$ |
$2.864586$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.16351$ |
$[1, 1, 1, -5219165, 3168322355]$ |
\(y^2+xy+y=x^3+x^2-5219165x+3168322355\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.? |
$[]$ |
| 83790.ff2 |
83790fj2 |
83790.ff |
83790fj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4718592$ |
$2.914627$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.17090$ |
$[1, -1, 1, -6375767, -4279201041]$ |
\(y^2+xy+y=x^3-x^2-6375767x-4279201041\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
| 95760.by2 |
95760dp2 |
95760.by |
95760dp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$2.977785169$ |
$1$ |
|
$7$ |
$2359296$ |
$2.634819$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.81795$ |
$[0, 0, 0, -2081883, -798748918]$ |
\(y^2=x^3-2081883x-798748918\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[(-662, 17010)]$ |
| 127680.h2 |
127680e2 |
127680.h |
127680e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$2.432087$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.49314$ |
$[0, -1, 0, -925281, -236357919]$ |
\(y^2=x^3-x^2-925281x-236357919\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 127680.eu2 |
127680fe2 |
127680.eu |
127680fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$2.432087$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.49314$ |
$[0, 1, 0, -925281, 236357919]$ |
\(y^2=x^3+x^2-925281x+236357919\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 139650.ic2 |
139650bt2 |
139650.ic |
139650bt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7980$ |
$48$ |
$0$ |
$1.630639457$ |
$1$ |
|
$12$ |
$14155776$ |
$3.170040$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.20665$ |
$[1, 0, 0, -17710463, 19817019417]$ |
\(y^2+xy=x^3-17710463x+19817019417\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 140.12.0.?, 228.24.0.?, $\ldots$ |
$[(718, 86077)]$ |
| 159600.ek2 |
159600cb2 |
159600.ek |
159600cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7077888$ |
$2.890232$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.86835$ |
$[0, 1, 0, -5783008, 3695983988]$ |
\(y^2=x^3+x^2-5783008x+3695983988\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 223440.em2 |
223440cg2 |
223440.em |
223440cg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14155776$ |
$3.058468$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.89926$ |
$[0, 1, 0, -11334696, -10150847820]$ |
\(y^2=x^3+x^2-11334696x-10150847820\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
| 227430.i2 |
227430fd2 |
227430.i |
227430fd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$228$ |
$48$ |
$0$ |
$10.10600911$ |
$1$ |
|
$2$ |
$35389440$ |
$3.413891$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.23802$ |
$[1, -1, 0, -46972485, -85591676075]$ |
\(y^2+xy=x^3-x^2-46972485x-85591676075\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 76.24.0.?, 228.48.0.? |
$[(-109798/7, 31836197/7)]$ |
| 379050.em2 |
379050em2 |
379050.em |
379050em |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$106168320$ |
$3.669304$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.26832$ |
$[1, 0, 1, -130479126, 396301252648]$ |
\(y^2+xy+y=x^3-130479126x+396301252648\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.3, 76.12.0.?, $\ldots$ |
$[]$ |
| 383040.jl2 |
383040jl2 |
383040.jl |
383040jl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{26} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18874368$ |
$2.981392$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.62191$ |
$[0, 0, 0, -8327532, 6389991344]$ |
\(y^2=x^3-8327532x+6389991344\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 383040.nk2 |
383040nk2 |
383040.nk |
383040nk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{26} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$3.264524209$ |
$1$ |
|
$9$ |
$18874368$ |
$2.981392$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.62191$ |
$[0, 0, 0, -8327532, -6389991344]$ |
\(y^2=x^3-8327532x-6389991344\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[(-1648, 53460)]$ |
| 418950.dy2 |
418950dy2 |
418950.dy |
418950dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7980$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$113246208$ |
$3.719345$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$5.27397$ |
$[1, -1, 0, -159394167, -535059524259]$ |
\(y^2+xy=x^3-x^2-159394167x-535059524259\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 140.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
| 478800.ef2 |
478800ef2 |
478800.ef |
478800ef |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$56623104$ |
$3.439537$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.96341$ |
$[0, 0, 0, -52047075, -99843614750]$ |
\(y^2=x^3-52047075x-99843614750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 482790.ib2 |
482790ib2 |
482790.ib |
482790ib |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$0.322583397$ |
$1$ |
|
$24$ |
$17694720$ |
$2.591312$ |
$334199035754662681/101099003040000$ |
$0.97120$ |
$4.18251$ |
$[1, 0, 0, -1749360, 615094272]$ |
\(y^2+xy=x^3-1749360x+615094272\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[(24, 23928)]$ |
