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 |
58.b1 |
58b2 |
58.b |
58b |
$2$ |
$5$ |
\( 2 \cdot 29 \) |
\( - 2^{2} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$20$ |
$0.347164$ |
$-10418796526321/82044596$ |
$0.99481$ |
$7.38544$ |
$[1, 1, 1, -455, -3951]$ |
\(y^2+xy+y=x^3+x^2-455x-3951\) |
5.24.0-5.a.2.2, 116.2.0.?, 580.48.1.? |
$[]$ |
464.e1 |
464c2 |
464.e |
464c |
$2$ |
$5$ |
\( 2^{4} \cdot 29 \) |
\( - 2^{14} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$1.040312$ |
$-10418796526321/82044596$ |
$0.99481$ |
$6.23887$ |
$[0, 1, 0, -7280, 238292]$ |
\(y^2=x^3+x^2-7280x+238292\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 116.2.0.?, 290.24.0.?, 580.48.1.? |
$[]$ |
522.b1 |
522f2 |
522.b |
522f |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$0.130090610$ |
$1$ |
|
$8$ |
$600$ |
$0.896470$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.84560$ |
$[1, -1, 0, -4095, 102577]$ |
\(y^2+xy=x^3-x^2-4095x+102577\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[(36, 11)]$ |
1450.c1 |
1450a2 |
1450.c |
1450a |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$580$ |
$48$ |
$1$ |
$5.224618242$ |
$1$ |
|
$2$ |
$2800$ |
$1.151882$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.44622$ |
$[1, 0, 1, -11376, -471102]$ |
\(y^2+xy+y=x^3-11376x-471102\) |
5.24.0-5.a.2.1, 116.2.0.?, 580.48.1.? |
$[(201, 2217)]$ |
1682.d1 |
1682a2 |
1682.d |
1682a |
$2$ |
$5$ |
\( 2 \cdot 29^{2} \) |
\( - 2^{2} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$580$ |
$48$ |
$1$ |
$6.520115268$ |
$1$ |
|
$0$ |
$16800$ |
$2.030811$ |
$-10418796526321/82044596$ |
$0.99481$ |
$6.75736$ |
$[1, 0, 1, -382673, -91764536]$ |
\(y^2+xy+y=x^3-382673x-91764536\) |
5.12.0.a.2, 20.24.0-5.a.2.4, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[(18889/5, 841652/5)]$ |
1856.f1 |
1856l2 |
1856.f |
1856l |
$2$ |
$5$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{20} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$0.179550939$ |
$1$ |
|
$4$ |
$3840$ |
$1.386885$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.64228$ |
$[0, -1, 0, -29121, 1935457]$ |
\(y^2=x^3-x^2-29121x+1935457\) |
5.12.0.a.2, 40.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(-59, 1856)]$ |
1856.k1 |
1856a2 |
1856.k |
1856a |
$2$ |
$5$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{20} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$1.386885$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.64228$ |
$[0, 1, 0, -29121, -1935457]$ |
\(y^2=x^3+x^2-29121x-1935457\) |
5.12.0.a.2, 40.24.0-5.a.2.3, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
2842.e1 |
2842e2 |
2842.e |
2842e |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 7^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4060$ |
$48$ |
$1$ |
$1.721561078$ |
$1$ |
|
$2$ |
$7200$ |
$1.320120$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.23921$ |
$[1, 0, 0, -22296, 1288244]$ |
\(y^2+xy=x^3-22296x+1288244\) |
5.12.0.a.2, 35.24.0-5.a.2.2, 116.2.0.?, 580.24.1.?, 4060.48.1.? |
$[(88, 54)]$ |
4176.n1 |
4176bc2 |
4176.n |
4176bc |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$1.589617$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.38527$ |
$[0, 0, 0, -65523, -6499406]$ |
\(y^2=x^3-65523x-6499406\) |
5.12.0.a.2, 60.24.0-5.a.2.2, 116.2.0.?, 580.24.1.?, 870.24.0.?, $\ldots$ |
$[]$ |
7018.a1 |
7018b2 |
7018.a |
7018b |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 11^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6380$ |
$48$ |
$1$ |
$0.468904737$ |
$1$ |
|
$6$ |
$27000$ |
$1.546112$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.01065$ |
$[1, 1, 0, -55057, 4983257]$ |
\(y^2+xy=x^3+x^2-55057x+4983257\) |
5.12.0.a.2, 55.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 6380.48.1.? |
$[(92, 795)]$ |
9802.a1 |
9802a2 |
9802.a |
9802a |
$2$ |
$5$ |
\( 2 \cdot 13^{2} \cdot 29 \) |
\( - 2^{2} \cdot 13^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7540$ |
$48$ |
$1$ |
$9.796261207$ |
$1$ |
|
$0$ |
$46800$ |
$1.629639$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.93756$ |
$[1, 1, 0, -76898, -8295464]$ |
\(y^2+xy=x^3+x^2-76898x-8295464\) |
5.12.0.a.2, 65.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 7540.48.1.? |
$[(23962/3, 3653176/3)]$ |
11600.g1 |
11600t2 |
11600.g |
11600t |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$1.845030$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.12488$ |
$[0, -1, 0, -182008, 30150512]$ |
\(y^2=x^3-x^2-182008x+30150512\) |
5.12.0.a.2, 20.24.0-5.a.2.1, 116.2.0.?, 290.24.0.?, 580.48.1.? |
$[]$ |
13050.bn1 |
13050bi2 |
13050.bn |
13050bi |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$84000$ |
$1.701189$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.87904$ |
$[1, -1, 1, -102380, 12719747]$ |
\(y^2+xy+y=x^3-x^2-102380x+12719747\) |
5.12.0.a.2, 15.24.0-5.a.2.2, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[]$ |
13456.i1 |
13456f2 |
13456.i |
13456f |
$2$ |
$5$ |
\( 2^{4} \cdot 29^{2} \) |
\( - 2^{14} \cdot 29^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$403200$ |
$2.723961$ |
$-10418796526321/82044596$ |
$0.99481$ |
$6.15426$ |
$[0, -1, 0, -6122760, 5872930288]$ |
\(y^2=x^3-x^2-6122760x+5872930288\) |
5.12.0.a.2, 10.24.0-5.a.2.2, 116.2.0.?, 580.48.1.? |
$[]$ |
15138.s1 |
15138v2 |
15138.s |
15138v |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$3.763149392$ |
$1$ |
|
$0$ |
$504000$ |
$2.580116$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.89962$ |
$[1, -1, 1, -3444053, 2477642465]$ |
\(y^2+xy+y=x^3-x^2-3444053x+2477642465\) |
5.12.0.a.2, 60.24.0-5.a.2.4, 116.2.0.?, 435.24.0.?, 580.24.1.?, $\ldots$ |
$[(-48425/7, 24216870/7)]$ |
16704.ca1 |
16704r2 |
16704.ca |
16704r |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.936192$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.04520$ |
$[0, 0, 0, -262092, 51995248]$ |
\(y^2=x^3-262092x+51995248\) |
5.12.0.a.2, 116.2.0.?, 120.24.0.?, 580.24.1.?, 3480.48.1.? |
$[]$ |
16704.ce1 |
16704cf2 |
16704.ce |
16704cf |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3480$ |
$48$ |
$1$ |
$14.07455469$ |
$1$ |
|
$0$ |
$115200$ |
$1.936192$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.04520$ |
$[0, 0, 0, -262092, -51995248]$ |
\(y^2=x^3-262092x-51995248\) |
5.12.0.a.2, 116.2.0.?, 120.24.0.?, 580.24.1.?, 3480.48.1.? |
$[(10744514/115, 25051918912/115)]$ |
16762.h1 |
16762i2 |
16762.h |
16762i |
$2$ |
$5$ |
\( 2 \cdot 17^{2} \cdot 29 \) |
\( - 2^{2} \cdot 17^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$9860$ |
$48$ |
$1$ |
$3.519400039$ |
$1$ |
|
$2$ |
$83200$ |
$1.763771$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.83068$ |
$[1, 0, 0, -131501, -18489883]$ |
\(y^2+xy=x^3-131501x-18489883\) |
5.12.0.a.2, 85.24.0.?, 116.2.0.?, 580.24.1.?, 9860.48.1.? |
$[(602, 10681)]$ |
20938.d1 |
20938e2 |
20938.d |
20938e |
$2$ |
$5$ |
\( 2 \cdot 19^{2} \cdot 29 \) |
\( - 2^{2} \cdot 19^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$11020$ |
$48$ |
$1$ |
$0.240820711$ |
$1$ |
|
$6$ |
$144000$ |
$1.819384$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.78975$ |
$[1, 0, 1, -164263, 25784590]$ |
\(y^2+xy+y=x^3-164263x+25784590\) |
5.12.0.a.2, 95.24.0.?, 116.2.0.?, 580.24.1.?, 11020.48.1.? |
$[(410, 5029)]$ |
22736.j1 |
22736y2 |
22736.j |
22736y |
$2$ |
$5$ |
\( 2^{4} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4060$ |
$48$ |
$1$ |
$8.918714340$ |
$1$ |
|
$0$ |
$172800$ |
$2.013268$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.98234$ |
$[0, -1, 0, -356736, -82447616]$ |
\(y^2=x^3-x^2-356736x-82447616\) |
5.12.0.a.2, 116.2.0.?, 140.24.0.?, 580.24.1.?, 2030.24.0.?, $\ldots$ |
$[(76642/9, 15050546/9)]$ |
25578.r1 |
25578v2 |
25578.r |
25578v |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$12180$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$216000$ |
$1.869425$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.75445$ |
$[1, -1, 0, -200664, -34782588]$ |
\(y^2+xy=x^3-x^2-200664x-34782588\) |
5.12.0.a.2, 105.24.0.?, 116.2.0.?, 580.24.1.?, 12180.48.1.? |
$[]$ |
30682.e1 |
30682g2 |
30682.e |
30682g |
$2$ |
$5$ |
\( 2 \cdot 23^{2} \cdot 29 \) |
\( - 2^{2} \cdot 23^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$13340$ |
$48$ |
$1$ |
$4.051621753$ |
$1$ |
|
$0$ |
$246400$ |
$1.914911$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.72356$ |
$[1, 1, 1, -240706, 45662595]$ |
\(y^2+xy+y=x^3+x^2-240706x+45662595\) |
5.12.0.a.2, 115.24.0.?, 116.2.0.?, 580.24.1.?, 13340.48.1.? |
$[(2233/3, 27319/3)]$ |
42050.y1 |
42050u2 |
42050.y |
42050u |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 5^{6} \cdot 29^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$2352000$ |
$2.835529$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.62137$ |
$[1, 1, 1, -9566813, -11470566969]$ |
\(y^2+xy+y=x^3+x^2-9566813x-11470566969\) |
5.12.0.a.2, 20.24.0-5.a.2.3, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[]$ |
46400.x1 |
46400o2 |
46400.x |
46400o |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{20} \cdot 5^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$537600$ |
$2.191605$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.85074$ |
$[0, -1, 0, -728033, -240476063]$ |
\(y^2=x^3-x^2-728033x-240476063\) |
5.12.0.a.2, 40.24.0-5.a.2.4, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
46400.bt1 |
46400bw2 |
46400.bt |
46400bw |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{20} \cdot 5^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$0.846596552$ |
$1$ |
|
$4$ |
$537600$ |
$2.191605$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.85074$ |
$[0, 1, 0, -728033, 240476063]$ |
\(y^2=x^3+x^2-728033x+240476063\) |
5.12.0.a.2, 40.24.0-5.a.2.2, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(1559, 53824)]$ |
53824.m1 |
53824d2 |
53824.m |
53824d |
$2$ |
$5$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{20} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$9.167072950$ |
$1$ |
|
$0$ |
$3225600$ |
$3.070534$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.75285$ |
$[0, -1, 0, -24491041, -46958951263]$ |
\(y^2=x^3-x^2-24491041x-46958951263\) |
5.12.0.a.2, 40.24.0-5.a.2.5, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(26023951/63, 68159255408/63)]$ |
53824.y1 |
53824u2 |
53824.y |
53824u |
$2$ |
$5$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{20} \cdot 29^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3225600$ |
$3.070534$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.75285$ |
$[0, 1, 0, -24491041, 46958951263]$ |
\(y^2=x^3+x^2-24491041x+46958951263\) |
5.12.0.a.2, 40.24.0-5.a.2.7, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
55738.v1 |
55738v2 |
55738.v |
55738v |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 31^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$17980$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$609000$ |
$2.064159$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.62941$ |
$[1, 0, 0, -437275, 112014373]$ |
\(y^2+xy=x^3-437275x+112014373\) |
5.12.0.a.2, 116.2.0.?, 155.24.0.?, 580.24.1.?, 17980.48.1.? |
$[]$ |
56144.r1 |
56144q2 |
56144.r |
56144q |
$2$ |
$5$ |
\( 2^{4} \cdot 11^{2} \cdot 29 \) |
\( - 2^{14} \cdot 11^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6380$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$648000$ |
$2.239258$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.81848$ |
$[0, 1, 0, -880920, -320690284]$ |
\(y^2=x^3+x^2-880920x-320690284\) |
5.12.0.a.2, 116.2.0.?, 220.24.0.?, 580.24.1.?, 3190.24.0.?, $\ldots$ |
$[]$ |
63162.bt1 |
63162ca2 |
63162.bt |
63162ca |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$19140$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$810000$ |
$2.095417$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.61097$ |
$[1, -1, 1, -495518, -135043455]$ |
\(y^2+xy+y=x^3-x^2-495518x-135043455\) |
5.12.0.a.2, 116.2.0.?, 165.24.0.?, 580.24.1.?, 19140.48.1.? |
$[]$ |
71050.j1 |
71050n2 |
71050.j |
71050n |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4060$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1008000$ |
$2.124840$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.59400$ |
$[1, 1, 0, -557400, 161030500]$ |
\(y^2+xy=x^3+x^2-557400x+161030500\) |
5.12.0.a.2, 35.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 4060.48.1.? |
$[]$ |
78416.p1 |
78416j2 |
78416.p |
78416j |
$2$ |
$5$ |
\( 2^{4} \cdot 13^{2} \cdot 29 \) |
\( - 2^{14} \cdot 13^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7540$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1123200$ |
$2.322784$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.76456$ |
$[0, 1, 0, -1230376, 528448948]$ |
\(y^2=x^3+x^2-1230376x+528448948\) |
5.12.0.a.2, 116.2.0.?, 260.24.0.?, 580.24.1.?, 3770.24.0.?, $\ldots$ |
$[]$ |
79402.a1 |
79402d2 |
79402.a |
79402d |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 37^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 37^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$21460$ |
$48$ |
$1$ |
$3.043440584$ |
$1$ |
|
$10$ |
$993600$ |
$2.152622$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.57830$ |
$[1, 1, 0, -622923, -190777151]$ |
\(y^2+xy=x^3+x^2-622923x-190777151\) |
5.12.0.a.2, 116.2.0.?, 185.24.0.?, 580.24.1.?, 21460.48.1.? |
$[(11004, 1145827), (4315/2, 154489/2)]$ |
82418.c1 |
82418a2 |
82418.c |
82418a |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 7^{6} \cdot 29^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4060$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6048000$ |
$3.003765$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.46553$ |
$[1, 1, 0, -18750953, 31456484809]$ |
\(y^2+xy=x^3+x^2-18750953x+31456484809\) |
5.12.0.a.2, 116.2.0.?, 140.24.0.?, 580.24.1.?, 1015.24.0.?, $\ldots$ |
$[]$ |
88218.cf1 |
88218ce2 |
88218.cf |
88218ce |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 13^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$22620$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1404000$ |
$2.178944$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.56371$ |
$[1, -1, 1, -692087, 223285443]$ |
\(y^2+xy+y=x^3-x^2-692087x+223285443\) |
5.12.0.a.2, 116.2.0.?, 195.24.0.?, 580.24.1.?, 22620.48.1.? |
$[]$ |
90944.br1 |
90944bq2 |
90944.br |
90944bq |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 7^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$8120$ |
$48$ |
$1$ |
$0.991507715$ |
$1$ |
|
$2$ |
$1382400$ |
$2.359840$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.74166$ |
$[0, -1, 0, -1426945, 661007873]$ |
\(y^2=x^3-x^2-1426945x+661007873\) |
5.12.0.a.2, 116.2.0.?, 280.24.0.?, 580.24.1.?, 8120.48.1.? |
$[(803, 5684)]$ |
90944.dh1 |
90944dp2 |
90944.dh |
90944dp |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 7^{6} \cdot 29^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$8120$ |
$48$ |
$1$ |
$4.761024393$ |
$1$ |
|
$6$ |
$1382400$ |
$2.359840$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.74166$ |
$[0, 1, 0, -1426945, -661007873]$ |
\(y^2=x^3+x^2-1426945x-661007873\) |
5.12.0.a.2, 116.2.0.?, 280.24.0.?, 580.24.1.?, 8120.48.1.? |
$[(4881, 329672), (13407, 1546048)]$ |
97498.k1 |
97498k2 |
97498.k |
97498k |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 41^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$23780$ |
$48$ |
$1$ |
$9.168270862$ |
$1$ |
|
$0$ |
$1408000$ |
$2.203949$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.55009$ |
$[1, 0, 0, -764890, -259291496]$ |
\(y^2+xy=x^3-764890x-259291496\) |
5.12.0.a.2, 116.2.0.?, 205.24.0.?, 580.24.1.?, 23780.48.1.? |
$[(442156/15, 254323976/15)]$ |
104400.bp1 |
104400et2 |
104400.bp |
104400et |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2016000$ |
$2.394337$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.72086$ |
$[0, 0, 0, -1638075, -812425750]$ |
\(y^2=x^3-1638075x-812425750\) |
5.12.0.a.2, 60.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 870.24.0.?, $\ldots$ |
$[]$ |
107242.a1 |
107242a2 |
107242.a |
107242a |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 43^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$24940$ |
$48$ |
$1$ |
$1.818211507$ |
$1$ |
|
$2$ |
$1524600$ |
$2.227764$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.53734$ |
$[1, 0, 1, -841334, 298974028]$ |
\(y^2+xy+y=x^3-841334x+298974028\) |
5.12.0.a.2, 116.2.0.?, 215.24.0.?, 580.24.1.?, 24940.48.1.? |
$[(667, 5553)]$ |
121104.t1 |
121104bv2 |
121104.t |
121104bv |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1740$ |
$48$ |
$1$ |
$36.06467707$ |
$1$ |
|
$0$ |
$12096000$ |
$3.273266$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.56212$ |
$[0, 0, 0, -55104843, -158514012934]$ |
\(y^2=x^3-55104843x-158514012934\) |
5.12.0.a.2, 30.24.0-5.a.2.1, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[(16421883571485312623/18884099, 65622838349749298198927663162/18884099)]$ |
128122.j1 |
128122j2 |
128122.j |
128122j |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 47^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$27260$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1964200$ |
$2.272236$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.51409$ |
$[1, 1, 1, -1005141, 390083407]$ |
\(y^2+xy+y=x^3+x^2-1005141x+390083407\) |
5.12.0.a.2, 116.2.0.?, 235.24.0.?, 580.24.1.?, 27260.48.1.? |
$[]$ |
134096.j1 |
134096h2 |
134096.j |
134096h |
$2$ |
$5$ |
\( 2^{4} \cdot 17^{2} \cdot 29 \) |
\( - 2^{14} \cdot 17^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$9860$ |
$48$ |
$1$ |
$0.565751993$ |
$1$ |
|
$4$ |
$1996800$ |
$2.456917$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.68438$ |
$[0, -1, 0, -2104016, 1183352512]$ |
\(y^2=x^3-x^2-2104016x+1183352512\) |
5.12.0.a.2, 116.2.0.?, 340.24.0.?, 580.24.1.?, 4930.24.0.?, $\ldots$ |
$[(482, 16762)]$ |
150858.o1 |
150858bh2 |
150858.o |
150858bh |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 17^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$29580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2496000$ |
$2.313076$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.49335$ |
$[1, -1, 0, -1183509, 499226841]$ |
\(y^2+xy=x^3-x^2-1183509x+499226841\) |
5.12.0.a.2, 116.2.0.?, 255.24.0.?, 580.24.1.?, 29580.48.1.? |
$[]$ |
162922.b1 |
162922f2 |
162922.b |
162922f |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 53^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$30740$ |
$48$ |
$1$ |
$27.64058269$ |
$1$ |
|
$0$ |
$2906800$ |
$2.332310$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.48377$ |
$[1, 0, 1, -1278154, -560067200]$ |
\(y^2+xy+y=x^3-1278154x-560067200\) |
5.12.0.a.2, 116.2.0.?, 265.24.0.?, 580.24.1.?, 30740.48.1.? |
$[(1204785859843/18471, 1232811671346104825/18471)]$ |
167504.j1 |
167504h2 |
167504.j |
167504h |
$2$ |
$5$ |
\( 2^{4} \cdot 19^{2} \cdot 29 \) |
\( - 2^{14} \cdot 19^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$11020$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$2.512531$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.65323$ |
$[0, -1, 0, -2628200, -1650213776]$ |
\(y^2=x^3-x^2-2628200x-1650213776\) |
5.12.0.a.2, 116.2.0.?, 380.24.0.?, 580.24.1.?, 5510.24.0.?, $\ldots$ |
$[]$ |
175450.cn1 |
175450bb2 |
175450.cn |
175450bb |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 11^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6380$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3780000$ |
$2.350830$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.47467$ |
$[1, 0, 0, -1376438, 625659992]$ |
\(y^2+xy=x^3-1376438x+625659992\) |
5.12.0.a.2, 55.24.0-5.a.2.2, 116.2.0.?, 580.24.1.?, 6380.48.1.? |
$[]$ |
188442.bn1 |
188442f2 |
188442.bn |
188442f |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 19^{6} \cdot 29^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$33060$ |
$48$ |
$1$ |
$33.85510460$ |
$1$ |
|
$2$ |
$4320000$ |
$2.368690$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.46600$ |
$[1, -1, 1, -1478363, -696183937]$ |
\(y^2+xy+y=x^3-x^2-1478363x-696183937\) |
5.12.0.a.2, 116.2.0.?, 285.24.0.?, 580.24.1.?, 33060.48.1.? |
$[(1411, 4348), (95587/7, 20921676/7)]$ |
201898.c1 |
201898i2 |
201898.c |
201898i |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 59^{2} \) |
\( - 2^{2} \cdot 29^{5} \cdot 59^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$34220$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4176000$ |
$2.385933$ |
$-10418796526321/82044596$ |
$0.99481$ |
$4.45772$ |
$[1, 1, 0, -1583927, 771817753]$ |
\(y^2+xy=x^3+x^2-1583927x+771817753\) |
5.12.0.a.2, 116.2.0.?, 295.24.0.?, 580.24.1.?, 34220.48.1.? |
$[]$ |
203522.o1 |
203522f2 |
203522.o |
203522f |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 11^{6} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6380$ |
$48$ |
$1$ |
$20.71743169$ |
$1$ |
|
$0$ |
$22680000$ |
$3.229759$ |
$-10418796526321/82044596$ |
$0.99481$ |
$5.28320$ |
$[1, 0, 0, -46303375, 122092293709]$ |
\(y^2+xy=x^3-46303375x+122092293709\) |
5.12.0.a.2, 116.2.0.?, 220.24.0.?, 580.24.1.?, 1595.24.0.?, $\ldots$ |
$[(-1539391895874/16195, 1872110049430094641/16195)]$ |