| 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 |
| 2645.a1 |
2645a1 |
2645.a |
2645a |
$1$ |
$1$ |
\( 5 \cdot 23^{2} \) |
\( - 5^{3} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9936$ |
$1.439548$ |
$-32768/125$ |
$0.90812$ |
$5.15755$ |
$[0, 1, 1, -8111, 772041]$ |
\(y^2+y=x^3+x^2-8111x+772041\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 2645.b1 |
2645b1 |
2645.b |
2645b |
$1$ |
$1$ |
\( 5 \cdot 23^{2} \) |
\( - 5^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$0.260259373$ |
$1$ |
|
$6$ |
$432$ |
$-0.128198$ |
$-32768/125$ |
$0.90812$ |
$2.77025$ |
$[0, 1, 1, -15, -69]$ |
\(y^2+y=x^3+x^2-15x-69\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(15, 57)]$ |
| 13225.h1 |
13225b1 |
13225.h |
13225b |
$1$ |
$1$ |
\( 5^{2} \cdot 23^{2} \) |
\( - 5^{9} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$238464$ |
$2.244267$ |
$-32768/125$ |
$0.90812$ |
$5.30043$ |
$[0, -1, 1, -202783, 96910718]$ |
\(y^2+y=x^3-x^2-202783x+96910718\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 13225.i1 |
13225a1 |
13225.i |
13225a |
$1$ |
$1$ |
\( 5^{2} \cdot 23^{2} \) |
\( - 5^{9} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.676521$ |
$-32768/125$ |
$0.90812$ |
$3.31800$ |
$[0, -1, 1, -383, -7832]$ |
\(y^2+y=x^3-x^2-383x-7832\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 23805.j1 |
23805l1 |
23805.j |
23805l |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$0.723536091$ |
$1$ |
|
$4$ |
$10368$ |
$0.421108$ |
$-32768/125$ |
$0.90812$ |
$2.82034$ |
$[0, 0, 1, -138, 1719]$ |
\(y^2+y=x^3-138x+1719\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(23, 103)]$ |
| 23805.o1 |
23805s1 |
23805.o |
23805s |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$238464$ |
$1.988855$ |
$-32768/125$ |
$0.90812$ |
$4.68714$ |
$[0, 0, 1, -73002, -20918115]$ |
\(y^2+y=x^3-73002x-20918115\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 42320.z1 |
42320o1 |
42320.z |
42320o |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 23^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$27.52811779$ |
$1$ |
|
$0$ |
$715392$ |
$2.132698$ |
$-32768/125$ |
$0.90812$ |
$4.59602$ |
$[0, -1, 0, -129781, -49540419]$ |
\(y^2=x^3-x^2-129781x-49540419\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(95545903899348/124169, 932185858824604040619/124169)]$ |
| 42320.bb1 |
42320ba1 |
42320.bb |
42320ba |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 23^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.564949$ |
$-32768/125$ |
$0.90812$ |
$2.83005$ |
$[0, -1, 0, -245, 4157]$ |
\(y^2=x^3-x^2-245x+4157\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 119025.bf1 |
119025z1 |
119025.bf |
119025z |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$2.246319988$ |
$1$ |
|
$4$ |
$5723136$ |
$2.793575$ |
$-32768/125$ |
$0.90812$ |
$4.86794$ |
$[0, 0, 1, -1825050, -2614764344]$ |
\(y^2+y=x^3-1825050x-2614764344\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(2116, 54751)]$ |
| 119025.bs1 |
119025w1 |
119025.bs |
119025w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$0.768133036$ |
$1$ |
|
$4$ |
$248832$ |
$1.225826$ |
$-32768/125$ |
$0.90812$ |
$3.25822$ |
$[0, 0, 1, -3450, 214906]$ |
\(y^2+y=x^3-3450x+214906\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(70, 562)]$ |
| 129605.r1 |
129605d1 |
129605.r |
129605d |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 7^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$2.326743221$ |
$1$ |
|
$2$ |
$142560$ |
$0.844757$ |
$-32768/125$ |
$0.90812$ |
$2.84620$ |
$[0, -1, 1, -751, 22091]$ |
\(y^2+y=x^3-x^2-751x+22091\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(-15, 172)]$ |
| 129605.u1 |
129605x1 |
129605.u |
129605x |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 7^{6} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3278880$ |
$2.412502$ |
$-32768/125$ |
$0.90812$ |
$4.44428$ |
$[0, -1, 1, -397455, -265605047]$ |
\(y^2+y=x^3-x^2-397455x-265605047\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 169280.m1 |
169280g1 |
169280.m |
169280g |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1.159717959$ |
$1$ |
|
$2$ |
$62208$ |
$0.218376$ |
$-32768/125$ |
$0.90812$ |
$2.15873$ |
$[0, 1, 0, -61, 489]$ |
\(y^2=x^3+x^2-61x+489\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(-8, 23)]$ |
| 169280.p1 |
169280d1 |
169280.p |
169280d |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1430784$ |
$1.786123$ |
$-32768/125$ |
$0.90812$ |
$3.72136$ |
$[0, 1, 0, -32445, -6208775]$ |
\(y^2=x^3+x^2-32445x-6208775\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 169280.cq1 |
169280da1 |
169280.cq |
169280da |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$62208$ |
$0.218376$ |
$-32768/125$ |
$0.90812$ |
$2.15873$ |
$[0, -1, 0, -61, -489]$ |
\(y^2=x^3-x^2-61x-489\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 169280.dc1 |
169280cy1 |
169280.dc |
169280cy |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$5.448602220$ |
$1$ |
|
$0$ |
$1430784$ |
$1.786123$ |
$-32768/125$ |
$0.90812$ |
$3.72136$ |
$[0, -1, 0, -32445, 6208775]$ |
\(y^2=x^3-x^2-32445x+6208775\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(67210/9, 17094635/9)]$ |
| 211600.m1 |
211600n1 |
211600.m |
211600n |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1.602661501$ |
$1$ |
|
$2$ |
$746496$ |
$1.369669$ |
$-32768/125$ |
$0.90812$ |
$3.24610$ |
$[0, 1, 0, -6133, 507363]$ |
\(y^2=x^3+x^2-6133x+507363\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(38, 575)]$ |
| 211600.w1 |
211600t1 |
211600.w |
211600t |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$12.66215592$ |
$1$ |
|
$0$ |
$17169408$ |
$2.937416$ |
$-32768/125$ |
$0.90812$ |
$4.78029$ |
$[0, 1, 0, -3244533, -6199041437]$ |
\(y^2=x^3+x^2-3244533x-6199041437\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(471543038/289, 9517527767875/289)]$ |
| 320045.o1 |
320045o1 |
320045.o |
320045o |
$1$ |
$1$ |
\( 5 \cdot 11^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 11^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$5.333499042$ |
$1$ |
|
$2$ |
$10730880$ |
$2.638496$ |
$-32768/125$ |
$0.90812$ |
$4.34129$ |
$[0, 1, 1, -981471, -1031512740]$ |
\(y^2+y=x^3+x^2-981471x-1031512740\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(1536, 32972)]$ |
| 320045.r1 |
320045r1 |
320045.r |
320045r |
$1$ |
$1$ |
\( 5 \cdot 11^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 11^{6} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1.112485017$ |
$1$ |
|
$8$ |
$466560$ |
$1.070749$ |
$-32768/125$ |
$0.90812$ |
$2.85717$ |
$[0, 1, 1, -1855, 84134]$ |
\(y^2+y=x^3+x^2-1855x+84134\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(-4, 302), (589/2, 13911/2)]$ |
| 380880.cs1 |
380880cs1 |
380880.cs |
380880cs |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.114256$ |
$-32768/125$ |
$0.90812$ |
$2.85911$ |
$[0, 0, 0, -2208, -110032]$ |
\(y^2=x^3-2208x-110032\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 380880.ec1 |
380880ec1 |
380880.ec |
380880ec |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$6.111473201$ |
$1$ |
|
$0$ |
$17169408$ |
$2.682003$ |
$-32768/125$ |
$0.90812$ |
$4.32312$ |
$[0, 0, 0, -1168032, 1338759344]$ |
\(y^2=x^3-1168032x+1338759344\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(-266087/14, 56394045/14)]$ |
| 447005.e1 |
447005e1 |
447005.e |
447005e |
$1$ |
$1$ |
\( 5 \cdot 13^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 13^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$933120$ |
$1.154276$ |
$-32768/125$ |
$0.90812$ |
$2.86084$ |
$[0, 1, 1, -2591, -140760]$ |
\(y^2+y=x^3+x^2-2591x-140760\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[]$ |
| 447005.f1 |
447005f1 |
447005.f |
447005f |
$1$ |
$1$ |
\( 5 \cdot 13^{2} \cdot 23^{2} \) |
\( - 5^{3} \cdot 13^{6} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$690$ |
$24$ |
$1$ |
$1.981724000$ |
$1$ |
|
$4$ |
$21461760$ |
$2.722023$ |
$-32768/125$ |
$0.90812$ |
$4.30684$ |
$[0, 1, 1, -1370815, 1701657806]$ |
\(y^2+y=x^3+x^2-1370815x+1701657806\) |
3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.? |
$[(29800, 5140557)]$ |
