| 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 |
| 1610.a1 |
1610a2 |
1610.a |
1610a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{7} \cdot 5^{8} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.606182498$ |
$1$ |
|
$0$ |
$2688$ |
$1.081957$ |
$420676324562824569/56350000000$ |
$1.07730$ |
$5.49576$ |
$[1, -1, 0, -15610, -746700]$ |
\(y^2+xy=x^3-x^2-15610x-746700\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(2215/2, 99035/2)]$ |
| 1610.a2 |
1610a1 |
1610.a |
1610a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{4} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.303091249$ |
$1$ |
|
$3$ |
$1344$ |
$0.735382$ |
$-78013216986489/37918720000$ |
$0.94371$ |
$4.41463$ |
$[1, -1, 0, -890, -13644]$ |
\(y^2+xy=x^3-x^2-890x-13644\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(548, 12526)]$ |
| 1610.b1 |
1610e4 |
1610.b |
1610e |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2 \cdot 5^{6} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$3864$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$14976$ |
$1.572626$ |
$513516182162686336369/1944885031250$ |
$0.98891$ |
$6.45827$ |
$[1, 0, 0, -166831, -26241705]$ |
\(y^2+xy=x^3-166831x-26241705\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$ |
$[]$ |
| 1610.b2 |
1610e3 |
1610.b |
1610e |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 5^{12} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$3864$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7488$ |
$1.226053$ |
$131010595463836369/7704101562500$ |
$0.95494$ |
$5.33777$ |
$[1, 0, 0, -10581, -397955]$ |
\(y^2+xy=x^3-10581x-397955\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$ |
$[]$ |
| 1610.b3 |
1610e2 |
1610.b |
1610e |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$3864$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$4992$ |
$1.023319$ |
$2535986675931409/1450751712200$ |
$0.99059$ |
$4.80355$ |
$[1, 0, 0, -2841, -6479]$ |
\(y^2+xy=x^3-2841x-6479\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$ |
$[]$ |
| 1610.b4 |
1610e1 |
1610.b |
1610e |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 5^{4} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$3864$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$2496$ |
$0.676746$ |
$690080604747409/3406760000$ |
$0.92467$ |
$4.62729$ |
$[1, 0, 0, -1841, 30121]$ |
\(y^2+xy=x^3-1841x+30121\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$ |
$[]$ |
| 1610.c1 |
1610d3 |
1610.c |
1610d |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 5^{6} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$19320$ |
$96$ |
$1$ |
$3.954512885$ |
$1$ |
|
$3$ |
$1728$ |
$0.684920$ |
$534774372149809/5323062500$ |
$0.92318$ |
$4.59276$ |
$[1, 0, 0, -1691, -26675]$ |
\(y^2+xy=x^3-1691x-26675\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[(50, 95)]$ |
| 1610.c2 |
1610d4 |
1610.c |
1610d |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2 \cdot 5^{3} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$19320$ |
$96$ |
$1$ |
$7.909025771$ |
$1$ |
|
$0$ |
$3456$ |
$1.031494$ |
$-9486391169809/1813439640250$ |
$0.98344$ |
$4.83262$ |
$[1, 0, 0, -441, -64925]$ |
\(y^2+xy=x^3-441x-64925\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[(1675/6, 22145/6)]$ |
| 1610.c3 |
1610d1 |
1610.c |
1610d |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$19320$ |
$96$ |
$1$ |
$1.318170961$ |
$1$ |
|
$15$ |
$576$ |
$0.135614$ |
$380920459249/12622400$ |
$0.86931$ |
$3.61131$ |
$[1, 0, 0, -151, 681]$ |
\(y^2+xy=x^3-151x+681\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$ |
$[(8, -3)]$ |
| 1610.c4 |
1610d2 |
1610.c |
1610d |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 5 \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$19320$ |
$96$ |
$1$ |
$2.636341923$ |
$1$ |
|
$8$ |
$1152$ |
$0.482188$ |
$12994449551/2489452840$ |
$0.94483$ |
$3.93920$ |
$[1, 0, 0, 49, 2401]$ |
\(y^2+xy=x^3+49x+2401\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[(-12, 17)]$ |
| 1610.d1 |
1610g2 |
1610.d |
1610g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$0.116711061$ |
$1$ |
|
$14$ |
$8960$ |
$1.524532$ |
$1753007192038126081/478174101507200$ |
$0.97307$ |
$5.68905$ |
$[1, 0, 0, -25120, -1116288]$ |
\(y^2+xy=x^3-25120x-1116288\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-116, 548)]$ |
| 1610.d2 |
1610g1 |
1610.d |
1610g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.058355530$ |
$1$ |
|
$25$ |
$4480$ |
$1.177959$ |
$83890194895342081/3958384640000$ |
$1.02332$ |
$5.27740$ |
$[1, 0, 0, -9120, 320512]$ |
\(y^2+xy=x^3-9120x+320512\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(44, 48)]$ |
| 1610.e1 |
1610b1 |
1610.e |
1610b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 5^{2} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.167804268$ |
$1$ |
|
$13$ |
$1536$ |
$0.830581$ |
$270701905514769/139540889600$ |
$0.97593$ |
$4.50055$ |
$[1, -1, 1, -1348, 6631]$ |
\(y^2+xy+y=x^3-x^2-1348x+6631\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-5, 117)]$ |
| 1610.e2 |
1610b2 |
1610.e |
1610b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.335608537$ |
$1$ |
|
$8$ |
$3072$ |
$1.177155$ |
$14262456319278831/9284810958080$ |
$1.03253$ |
$5.03744$ |
$[1, -1, 1, 5052, 47591]$ |
\(y^2+xy+y=x^3-x^2+5052x+47591\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(31, 467)]$ |
| 1610.f1 |
1610c3 |
1610.f |
1610c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 5 \cdot 7^{3} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1.047784692$ |
$1$ |
|
$2$ |
$3072$ |
$1.135729$ |
$5421065386069310769/1919709260$ |
$0.99514$ |
$5.84194$ |
$[1, -1, 1, -36598, 2703961]$ |
\(y^2+xy+y=x^3-x^2-36598x+2703961\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$ |
$[(113, -15)]$ |
| 1610.f2 |
1610c2 |
1610.f |
1610c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$3220$ |
$48$ |
$0$ |
$0.523892346$ |
$1$ |
|
$12$ |
$1536$ |
$0.789155$ |
$1341518286067569/24894528400$ |
$1.02055$ |
$4.71731$ |
$[1, -1, 1, -2298, 42281]$ |
\(y^2+xy+y=x^3-x^2-2298x+42281\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$ |
$[(15, 97)]$ |
| 1610.f3 |
1610c1 |
1610.f |
1610c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$0.261946173$ |
$1$ |
|
$11$ |
$768$ |
$0.442581$ |
$2917464019569/1262240000$ |
$0.93001$ |
$3.88702$ |
$[1, -1, 1, -298, -919]$ |
\(y^2+xy+y=x^3-x^2-298x-919\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 92.12.0.?, $\ldots$ |
$[(-7, 31)]$ |
| 1610.f4 |
1610c4 |
1610.f |
1610c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{2} \cdot 5 \cdot 7^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1.047784692$ |
$1$ |
|
$2$ |
$3072$ |
$1.135729$ |
$1367631/6366992112460$ |
$1.34194$ |
$5.00229$ |
$[1, -1, 1, 2, 121401]$ |
\(y^2+xy+y=x^3-x^2+2x+121401\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$ |
$[(61, 557)]$ |
| 1610.g1 |
1610f3 |
1610.g |
1610f |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$6440$ |
$48$ |
$0$ |
$7.863650067$ |
$4$ |
$2$ |
$0$ |
$1024$ |
$0.589894$ |
$70016546394529281/1610$ |
$0.97475$ |
$5.25292$ |
$[1, -1, 1, -8587, -304111]$ |
\(y^2+xy+y=x^3-x^2-8587x-304111\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 644.12.0.?, $\ldots$ |
$[(1749/4, 11413/4)]$ |
| 1610.g2 |
1610f2 |
1610.g |
1610f |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$6440$ |
$48$ |
$0$ |
$3.931825033$ |
$1$ |
|
$4$ |
$512$ |
$0.243320$ |
$17095749786081/2592100$ |
$1.03782$ |
$4.12648$ |
$[1, -1, 1, -537, -4651]$ |
\(y^2+xy+y=x^3-x^2-537x-4651\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.4, 644.24.0.?, 6440.48.0.? |
$[(59, 378)]$ |
| 1610.g3 |
1610f4 |
1610.g |
1610f |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2 \cdot 5 \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$7.863650067$ |
$1$ |
|
$0$ |
$1024$ |
$0.589894$ |
$-12748946194881/6718982410$ |
$0.93130$ |
$4.17443$ |
$[1, -1, 1, -487, -5591]$ |
\(y^2+xy+y=x^3-x^2-487x-5591\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.s.1.1, 1288.24.0.?, 6440.48.0.? |
$[(2119/6, 81833/6)]$ |
| 1610.g4 |
1610f1 |
1610.g |
1610f |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$1.965912516$ |
$1$ |
|
$7$ |
$256$ |
$-0.103253$ |
$5461074081/1610000$ |
$1.00025$ |
$3.03642$ |
$[1, -1, 1, -37, -51]$ |
\(y^2+xy+y=x^3-x^2-37x-51\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.2, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(9, 12)]$ |
