| 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 |
| 5610.q5 |
5610t5 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$221184$ |
$2.411480$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.31593$ |
$[1, 0, 1, -1627388, 790397138]$ |
\(y^2+xy+y=x^3-1627388x+790397138\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
| 16830.bk5 |
16830cd4 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$2.960789$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.28026$ |
$[1, -1, 1, -14646488, -21340722733]$ |
\(y^2+xy+y=x^3-x^2-14646488x-21340722733\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
| 28050.cx5 |
28050cm4 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{18} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$5308416$ |
$3.216202$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.26629$ |
$[1, 1, 1, -40684688, 98799642281]$ |
\(y^2+xy+y=x^3+x^2-40684688x+98799642281\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 44880.bh5 |
44880br4 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$8.167507165$ |
$1$ |
|
$1$ |
$5308416$ |
$3.104630$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.86635$ |
$[0, -1, 0, -26038200, -50585416848]$ |
\(y^2=x^3-x^2-26038200x-50585416848\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$ |
$[(-147334/7, 7770050/7)]$ |
| 61710.da5 |
61710cz4 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 11^{9} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$3.610428$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.24725$ |
$[1, 0, 0, -196913890, -1052215504900]$ |
\(y^2+xy=x^3-196913890x-1052215504900\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[]$ |
| 84150.df5 |
84150bk4 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{18} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$42467328$ |
$3.765507$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.24049$ |
$[1, -1, 0, -366162192, -2667956503784]$ |
\(y^2+xy=x^3-x^2-366162192x-2667956503784\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 95370.j5 |
95370c4 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$39.16301440$ |
$1$ |
|
$0$ |
$63700992$ |
$3.828087$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.23786$ |
$[1, 1, 0, -470314993, 3883691455213]$ |
\(y^2+xy=x^3+x^2-470314993x+3883691455213\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(12717116166030422091/6852433, 45165945283607069955646109111/6852433)]$ |
| 134640.cq5 |
134640cn4 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$2.690654522$ |
$1$ |
|
$3$ |
$42467328$ |
$3.653934$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.87878$ |
$[0, 0, 0, -234343803, 1366040598698]$ |
\(y^2=x^3-234343803x+1366040598698\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[(2077, 942480)]$ |
| 179520.b5 |
179520hr4 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$25.74045868$ |
$1$ |
|
$1$ |
$42467328$ |
$3.451202$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.53790$ |
$[0, -1, 0, -104152801, 404787487585]$ |
\(y^2=x^3-x^2-104152801x+404787487585\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(6396267771039/28529, 6211954182098729528/28529)]$ |
| 179520.gd5 |
179520bv5 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$42467328$ |
$3.451202$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.53790$ |
$[0, 1, 0, -104152801, -404787487585]$ |
\(y^2=x^3+x^2-104152801x-404787487585\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[]$ |
| 185130.be5 |
185130eq4 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 11^{9} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$8.644040576$ |
$1$ |
|
$0$ |
$212336640$ |
$4.159737$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.22486$ |
$[1, -1, 0, -1772225010, 28409818632300]$ |
\(y^2+xy=x^3-x^2-1772225010x+28409818632300\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(46464213/29, 242161687941/29)]$ |
| 224400.eo5 |
224400bf5 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{18} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$127401984$ |
$3.909348$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.88381$ |
$[0, 1, 0, -650955008, -6324479016012]$ |
\(y^2=x^3+x^2-650955008x-6324479016012\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 274890.n5 |
274890n5 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 7^{6} \cdot 11^{3} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$14.33391695$ |
$1$ |
|
$6$ |
$63700992$ |
$3.384438$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.28552$ |
$[1, 1, 0, -79741988, -271185960408]$ |
\(y^2+xy=x^3+x^2-79741988x-271185960408\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-5513, 32957), (26277, 3959022)]$ |
| 286110.gv5 |
286110gv5 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 11^{3} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$4.353253265$ |
$1$ |
|
$2$ |
$509607936$ |
$4.377396$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.21706$ |
$[1, -1, 1, -4232834942, -104863902125691]$ |
\(y^2+xy+y=x^3-x^2-4232834942x-104863902125691\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-37933, 1075791)]$ |
| 308550.h5 |
308550h5 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{18} \cdot 11^{9} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$637009920$ |
$4.415146$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.21577$ |
$[1, 1, 0, -4922847250, -131526938112500]$ |
\(y^2+xy=x^3+x^2-4922847250x-131526938112500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 476850.ib5 |
476850ib4 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{18} \cdot 11^{3} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$11.20554083$ |
$1$ |
|
$0$ |
$1528823808$ |
$4.632805$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$6.20858$ |
$[1, 0, 0, -11757874838, 485484947651292]$ |
\(y^2+xy=x^3-11757874838x+485484947651292\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[(74482114/23, 489035964710/23)]$ |
| 493680.cf5 |
493680cf4 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{12} \cdot 11^{9} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1.954787310$ |
$1$ |
|
$9$ |
$637009920$ |
$4.303574$ |
$476646772170172569823801/5862293314453125000$ |
$1.00861$ |
$5.89079$ |
$[0, -1, 0, -3150622240, 67341792313600]$ |
\(y^2=x^3-x^2-3150622240x+67341792313600\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[(24480, 2210000)]$ |
