| 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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
| 5610.t1 |
5610r4 |
5610.t |
5610r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2040$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$276480$ |
$2.661659$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 0, 1, -2417353, -1087483252]$ |
\(y^2+xy+y=x^3-2417353x-1087483252\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 136.6.0.?, $\ldots$ |
| 16830.bt1 |
16830ce4 |
16830.bt |
16830ce |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$2211840$ |
$3.210968$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, -1, 1, -21756173, 29362047797]$ |
\(y^2+xy+y=x^3-x^2-21756173x+29362047797\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 136.6.0.?, $\ldots$ |
| 28050.cc1 |
28050by4 |
28050.cc |
28050by |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$3.466381$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 1, 1, -60433813, -135935406469]$ |
\(y^2+xy+y=x^3+x^2-60433813x-135935406469\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$ |
| 44880.x1 |
44880bz4 |
44880.x |
44880bz |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{27} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$2.228263504$ |
$1$ |
|
$5$ |
$6635520$ |
$3.354809$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, -1, 0, -38677640, 69598928112]$ |
\(y^2=x^3-x^2-38677640x+69598928112\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$ |
| 61710.ct1 |
61710cx4 |
61710.ct |
61710cx |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$4.318362334$ |
$1$ |
|
$2$ |
$33177600$ |
$3.860607$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 0, 0, -292499655, 1447147708425]$ |
\(y^2+xy=x^3-292499655x+1447147708425\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.t.1, $\ldots$ |
| 84150.y1 |
84150cs4 |
84150.y |
84150cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$4.015686$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, -1, 0, -543904317, 3669712070341]$ |
\(y^2+xy=x^3-x^2-543904317x+3669712070341\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$ |
| 95370.f1 |
95370h4 |
95370.f |
95370h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$4.515652998$ |
$1$ |
|
$14$ |
$79626240$ |
$4.078270$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 1, 0, -698614878, -5342106600972]$ |
\(y^2+xy=x^3+x^2-698614878x-5342106600972\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 51.8.0-3.a.1.1, $\ldots$ |
| 134640.n1 |
134640by4 |
134640.n |
134640by |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{27} \cdot 3^{8} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$5.998181281$ |
$1$ |
|
$3$ |
$53084160$ |
$3.904114$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, 0, 0, -348098763, -1878822960262]$ |
\(y^2=x^3-348098763x-1878822960262\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$ |
| 179520.bl1 |
179520id4 |
179520.bl |
179520id |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{33} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$6.253967665$ |
$1$ |
|
$3$ |
$53084160$ |
$3.701382$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, -1, 0, -154710561, -556636714335]$ |
\(y^2=x^3-x^2-154710561x-556636714335\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.t.1, $\ldots$ |
| 179520.ev1 |
179520bi4 |
179520.ev |
179520bi |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{33} \cdot 3^{2} \cdot 5^{2} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$53084160$ |
$3.701382$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, 1, 0, -154710561, 556636714335]$ |
\(y^2=x^3+x^2-154710561x+556636714335\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.t.1, $\ldots$ |
| 185130.j1 |
185130dz4 |
185130.j |
185130dz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$265420800$ |
$4.409912$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, -1, 0, -2632496895, -39072988127475]$ |
\(y^2+xy=x^3-x^2-2632496895x-39072988127475\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.t.1, $\ldots$ |
| 224400.ht1 |
224400cm4 |
224400.ht |
224400cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{27} \cdot 3^{2} \cdot 5^{8} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$159252480$ |
$4.159531$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, 1, 0, -966941008, 8697932131988]$ |
\(y^2=x^3+x^2-966941008x+8697932131988\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 60.48.0-60.t.1.10, $\ldots$ |
| 274890.f1 |
274890f4 |
274890.f |
274890f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$99532800$ |
$3.634617$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 1, 0, -118450273, 372888305077]$ |
\(y^2+xy=x^3+x^2-118450273x+372888305077\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
| 286110.fy1 |
286110fy4 |
286110.fy |
286110fy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 11^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$637009920$ |
$4.627571$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, -1, 1, -6287533907, 144230590692339]$ |
\(y^2+xy+y=x^3-x^2-6287533907x+144230590692339\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 51.8.0-3.a.1.2, $\ldots$ |
| 308550.ca1 |
308550ca4 |
308550.ca |
308550ca |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$21.23671745$ |
$1$ |
|
$0$ |
$796262400$ |
$4.665329$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 1, 0, -7312491375, 180893463553125]$ |
\(y^2+xy=x^3+x^2-7312491375x+180893463553125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 132.24.0.?, $\ldots$ |
| 476850.kb1 |
476850kb4 |
476850.kb |
476850kb |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 11^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1911029760$ |
$4.882988$ |
$1562225332123379392365961/393363080510106009600$ |
$[1, 0, 0, -17465371963, -667728394377583]$ |
\(y^2+xy=x^3-17465371963x-667728394377583\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.8, 60.24.0.t.1, $\ldots$ |
| 493680.dn1 |
493680dn4 |
493680.dn |
493680dn |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{27} \cdot 3^{2} \cdot 5^{2} \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$796262400$ |
$4.553757$ |
$1562225332123379392365961/393363080510106009600$ |
$[0, -1, 0, -4679994480, -92617453339200]$ |
\(y^2=x^3-x^2-4679994480x-92617453339200\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 132.24.0.?, $\ldots$ |
