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 |
MW-generators |
2652.c2 |
2652b1 |
2652.c |
2652b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$0.488009628$ |
$1$ |
|
$9$ |
$864$ |
$0.202121$ |
$26919436288/2738853$ |
$[0, -1, 0, -157, 742]$ |
\(y^2=x^3-x^2-157x+742\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(3, 17)]$ |
7956.a2 |
7956b1 |
7956.a |
7956b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.883447846$ |
$1$ |
|
$3$ |
$6912$ |
$0.751427$ |
$26919436288/2738853$ |
$[0, 0, 0, -1416, -18619]$ |
\(y^2=x^3-1416x-18619\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-25, 34)]$ |
10608.z2 |
10608w1 |
10608.z |
10608w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.202121$ |
$26919436288/2738853$ |
$[0, 1, 0, -157, -742]$ |
\(y^2=x^3+x^2-157x-742\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
31824.l2 |
31824x1 |
31824.l |
31824x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.434962971$ |
$1$ |
|
$3$ |
$27648$ |
$0.751427$ |
$26919436288/2738853$ |
$[0, 0, 0, -1416, 18619]$ |
\(y^2=x^3-1416x+18619\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(5, 108)]$ |
34476.c2 |
34476f1 |
34476.c |
34476f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.918883186$ |
$1$ |
|
$3$ |
$145152$ |
$1.484594$ |
$26919436288/2738853$ |
$[0, -1, 0, -26589, 1523898]$ |
\(y^2=x^3-x^2-26589x+1523898\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(246, 3132)]$ |
42432.f2 |
42432ca1 |
42432.f |
42432ca |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.548694$ |
$26919436288/2738853$ |
$[0, -1, 0, -629, -5307]$ |
\(y^2=x^3-x^2-629x-5307\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
42432.bk2 |
42432bg1 |
42432.bk |
42432bg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.058687113$ |
$1$ |
|
$17$ |
$27648$ |
$0.548694$ |
$26919436288/2738853$ |
$[0, 1, 0, -629, 5307]$ |
\(y^2=x^3+x^2-629x+5307\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(7, 36), (19, 24)]$ |
45084.k2 |
45084k1 |
45084.k |
45084k |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$0.853031096$ |
$1$ |
|
$7$ |
$248832$ |
$1.618727$ |
$26919436288/2738853$ |
$[0, 1, 0, -45469, 3372812]$ |
\(y^2=x^3+x^2-45469x+3372812\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-91, 2601)]$ |
66300.bp2 |
66300bb1 |
66300.bp |
66300bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.006840$ |
$26919436288/2738853$ |
$[0, 1, 0, -3933, 84888]$ |
\(y^2=x^3+x^2-3933x+84888\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
103428.bb2 |
103428j1 |
103428.bb |
103428j |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.956389405$ |
$1$ |
|
$3$ |
$1161216$ |
$2.033901$ |
$26919436288/2738853$ |
$[0, 0, 0, -239304, -40905943]$ |
\(y^2=x^3-239304x-40905943\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-274, 2023)]$ |
127296.ct2 |
127296bc1 |
127296.ct |
127296bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.382169909$ |
$1$ |
|
$3$ |
$221184$ |
$1.098000$ |
$26919436288/2738853$ |
$[0, 0, 0, -5664, -148952]$ |
\(y^2=x^3-5664x-148952\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(134, 1224)]$ |
127296.dl2 |
127296db1 |
127296.dl |
127296db |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.098000$ |
$26919436288/2738853$ |
$[0, 0, 0, -5664, 148952]$ |
\(y^2=x^3-5664x+148952\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
129948.ba2 |
129948bg1 |
129948.ba |
129948bg |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$0.785473830$ |
$1$ |
|
$9$ |
$248832$ |
$1.175076$ |
$26919436288/2738853$ |
$[0, 1, 0, -7709, -239100]$ |
\(y^2=x^3+x^2-7709x-239100\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-53, 153)]$ |
135252.t2 |
135252o1 |
135252.t |
135252o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$13.77319351$ |
$1$ |
|
$1$ |
$1990656$ |
$2.168034$ |
$26919436288/2738853$ |
$[0, 0, 0, -409224, -91475147]$ |
\(y^2=x^3-409224x-91475147\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-10479289/185, 14325278166/185)]$ |
137904.bx2 |
137904e1 |
137904.bx |
137904e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$580608$ |
$1.484594$ |
$26919436288/2738853$ |
$[0, 1, 0, -26589, -1523898]$ |
\(y^2=x^3+x^2-26589x-1523898\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
180336.h2 |
180336ba1 |
180336.h |
180336ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$1.618727$ |
$26919436288/2738853$ |
$[0, -1, 0, -45469, -3372812]$ |
\(y^2=x^3-x^2-45469x-3372812\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
198900.cm2 |
198900cb1 |
198900.cm |
198900cb |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.138666277$ |
$1$ |
|
$3$ |
$884736$ |
$1.556145$ |
$26919436288/2738853$ |
$[0, 0, 0, -35400, -2327375]$ |
\(y^2=x^3-35400x-2327375\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-109, 486)]$ |
265200.e2 |
265200e1 |
265200.e |
265200e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.138957806$ |
$1$ |
|
$3$ |
$442368$ |
$1.006840$ |
$26919436288/2738853$ |
$[0, -1, 0, -3933, -84888]$ |
\(y^2=x^3-x^2-3933x-84888\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-28, 50)]$ |
320892.h2 |
320892h1 |
320892.h |
320892h |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1209600$ |
$1.401068$ |
$26919436288/2738853$ |
$[0, -1, 0, -19037, -911502]$ |
\(y^2=x^3-x^2-19037x-911502\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
389844.cv2 |
389844cv1 |
389844.cv |
389844cv |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$1.724382$ |
$26919436288/2738853$ |
$[0, 0, 0, -69384, 6386317]$ |
\(y^2=x^3-69384x+6386317\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
413712.du2 |
413712du1 |
413712.du |
413712du |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$4.696954803$ |
$1$ |
|
$3$ |
$4644864$ |
$2.033901$ |
$26919436288/2738853$ |
$[0, 0, 0, -239304, 40905943]$ |
\(y^2=x^3-239304x+40905943\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(209, 144)]$ |