| 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.b2 |
58b1 |
58.b |
58b |
$2$ |
$5$ |
\( 2 \cdot 29 \) |
\( - 2^{10} \cdot 29 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$4$ |
$-0.457555$ |
$13651919/29696$ |
$1.08166$ |
$4.29613$ |
$[1, 1, 1, 5, 9]$ |
\(y^2+xy+y=x^3+x^2+5x+9\) |
5.24.0-5.a.1.2, 116.2.0.?, 580.48.1.? |
$[]$ |
| 464.e2 |
464c1 |
464.e |
464c |
$2$ |
$5$ |
\( 2^{4} \cdot 29 \) |
\( - 2^{22} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.235592$ |
$13651919/29696$ |
$1.08166$ |
$4.19584$ |
$[0, 1, 0, 80, -428]$ |
\(y^2=x^3+x^2+80x-428\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 116.2.0.?, 290.24.0.?, 580.48.1.? |
$[]$ |
| 522.b2 |
522f1 |
522.b |
522f |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$0.650453053$ |
$1$ |
|
$4$ |
$120$ |
$0.091751$ |
$13651919/29696$ |
$1.08166$ |
$3.84102$ |
$[1, -1, 0, 45, -203]$ |
\(y^2+xy=x^3-x^2+45x-203\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[(6, 13)]$ |
| 1450.c2 |
1450a1 |
1450.c |
1450a |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 29 \) |
\( - 2^{10} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$580$ |
$48$ |
$1$ |
$1.044923648$ |
$1$ |
|
$2$ |
$560$ |
$0.347164$ |
$13651919/29696$ |
$1.08166$ |
$3.72299$ |
$[1, 0, 1, 124, 898]$ |
\(y^2+xy+y=x^3+124x+898\) |
5.24.0-5.a.1.1, 116.2.0.?, 580.48.1.? |
$[(1, 31)]$ |
| 1682.d2 |
1682a1 |
1682.d |
1682a |
$2$ |
$5$ |
\( 2 \cdot 29^{2} \) |
\( - 2^{10} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$580$ |
$48$ |
$1$ |
$1.304023053$ |
$1$ |
|
$4$ |
$3360$ |
$1.226093$ |
$13651919/29696$ |
$1.08166$ |
$5.06856$ |
$[1, 0, 1, 4187, 173584]$ |
\(y^2+xy+y=x^3+4187x+173584\) |
5.12.0.a.1, 20.24.0-5.a.1.4, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[(563, 13174)]$ |
| 1856.f2 |
1856l1 |
1856.f |
1856l |
$2$ |
$5$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{28} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$0.897754698$ |
$1$ |
|
$4$ |
$768$ |
$0.582166$ |
$13651919/29696$ |
$1.08166$ |
$3.97557$ |
$[0, -1, 0, 319, -3743]$ |
\(y^2=x^3-x^2+319x-3743\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(101, 1024)]$ |
| 1856.k2 |
1856a1 |
1856.k |
1856a |
$2$ |
$5$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{28} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.582166$ |
$13651919/29696$ |
$1.08166$ |
$3.97557$ |
$[0, 1, 0, 319, 3743]$ |
\(y^2=x^3+x^2+319x+3743\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
| 2842.e2 |
2842e1 |
2842.e |
2842e |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4060$ |
$48$ |
$1$ |
$0.344312215$ |
$1$ |
|
$6$ |
$1440$ |
$0.515400$ |
$13651919/29696$ |
$1.08166$ |
$3.66181$ |
$[1, 0, 0, 244, -2416]$ |
\(y^2+xy=x^3+244x-2416\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 116.2.0.?, 580.24.1.?, 4060.48.1.? |
$[(32, 180)]$ |
| 4176.n2 |
4176bc1 |
4176.n |
4176bc |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{22} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.784899$ |
$13651919/29696$ |
$1.08166$ |
$3.88068$ |
$[0, 0, 0, 717, 12274]$ |
\(y^2=x^3+717x+12274\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 116.2.0.?, 580.24.1.?, 870.24.0.?, $\ldots$ |
$[]$ |
| 7018.a2 |
7018b1 |
7018.a |
7018b |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 29 \) |
\( - 2^{10} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6380$ |
$48$ |
$1$ |
$2.344523689$ |
$1$ |
|
$2$ |
$5400$ |
$0.741393$ |
$13651919/29696$ |
$1.08166$ |
$3.59425$ |
$[1, 1, 0, 603, -9203]$ |
\(y^2+xy=x^3+x^2+603x-9203\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 6380.48.1.? |
$[(42, 283)]$ |
| 9802.a2 |
9802a1 |
9802.a |
9802a |
$2$ |
$5$ |
\( 2 \cdot 13^{2} \cdot 29 \) |
\( - 2^{10} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$7540$ |
$48$ |
$1$ |
$1.959252241$ |
$1$ |
|
$2$ |
$9360$ |
$0.824920$ |
$13651919/29696$ |
$1.08166$ |
$3.57265$ |
$[1, 1, 0, 842, 15956]$ |
\(y^2+xy=x^3+x^2+842x+15956\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 7540.48.1.? |
$[(-4, 114)]$ |
| 11600.g2 |
11600t1 |
11600.g |
11600t |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 29 \) |
\( - 2^{22} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$13440$ |
$1.040312$ |
$13651919/29696$ |
$1.08166$ |
$3.78454$ |
$[0, -1, 0, 1992, -57488]$ |
\(y^2=x^3-x^2+1992x-57488\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 116.2.0.?, 290.24.0.?, 580.48.1.? |
$[]$ |
| 13050.bn2 |
13050bi1 |
13050.bn |
13050bi |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16800$ |
$0.896470$ |
$13651919/29696$ |
$1.08166$ |
$3.55536$ |
$[1, -1, 1, 1120, -24253]$ |
\(y^2+xy+y=x^3-x^2+1120x-24253\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[]$ |
| 13456.i2 |
13456f1 |
13456.i |
13456f |
$2$ |
$5$ |
\( 2^{4} \cdot 29^{2} \) |
\( - 2^{22} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.919241$ |
$13651919/29696$ |
$1.08166$ |
$4.83484$ |
$[0, -1, 0, 67000, -11109392]$ |
\(y^2=x^3-x^2+67000x-11109392\) |
5.12.0.a.1, 10.24.0-5.a.1.1, 116.2.0.?, 580.48.1.? |
$[]$ |
| 15138.s2 |
15138v1 |
15138.s |
15138v |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$0.752629878$ |
$1$ |
|
$4$ |
$100800$ |
$1.775398$ |
$13651919/29696$ |
$1.08166$ |
$4.59634$ |
$[1, -1, 1, 37687, -4686775]$ |
\(y^2+xy+y=x^3-x^2+37687x-4686775\) |
5.12.0.a.1, 60.24.0-5.a.1.4, 116.2.0.?, 435.24.0.?, 580.24.1.?, $\ldots$ |
$[(109, 786)]$ |
| 16704.ca2 |
16704r1 |
16704.ca |
16704r |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{28} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.131472$ |
$13651919/29696$ |
$1.08166$ |
$3.75512$ |
$[0, 0, 0, 2868, -98192]$ |
\(y^2=x^3+2868x-98192\) |
5.12.0.a.1, 116.2.0.?, 120.24.0.?, 580.24.1.?, 3480.48.1.? |
$[]$ |
| 16704.ce2 |
16704cf1 |
16704.ce |
16704cf |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{28} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3480$ |
$48$ |
$1$ |
$2.814910939$ |
$1$ |
|
$2$ |
$23040$ |
$1.131472$ |
$13651919/29696$ |
$1.08166$ |
$3.75512$ |
$[0, 0, 0, 2868, 98192]$ |
\(y^2=x^3+2868x+98192\) |
5.12.0.a.1, 116.2.0.?, 120.24.0.?, 580.24.1.?, 3480.48.1.? |
$[(722, 19456)]$ |
| 16762.h2 |
16762i1 |
16762.h |
16762i |
$2$ |
$5$ |
\( 2 \cdot 17^{2} \cdot 29 \) |
\( - 2^{10} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$9860$ |
$48$ |
$1$ |
$0.703880007$ |
$1$ |
|
$4$ |
$16640$ |
$0.959052$ |
$13651919/29696$ |
$1.08166$ |
$3.54106$ |
$[1, 0, 0, 1439, 35017]$ |
\(y^2+xy=x^3+1439x+35017\) |
5.12.0.a.1, 85.24.0.?, 116.2.0.?, 580.24.1.?, 9860.48.1.? |
$[(24, 277)]$ |
| 20938.d2 |
20938e1 |
20938.d |
20938e |
$2$ |
$5$ |
\( 2 \cdot 19^{2} \cdot 29 \) |
\( - 2^{10} \cdot 19^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11020$ |
$48$ |
$1$ |
$1.204103555$ |
$1$ |
|
$4$ |
$28800$ |
$1.014664$ |
$13651919/29696$ |
$1.08166$ |
$3.52897$ |
$[1, 0, 1, 1797, -48570]$ |
\(y^2+xy+y=x^3+1797x-48570\) |
5.12.0.a.1, 95.24.0.?, 116.2.0.?, 580.24.1.?, 11020.48.1.? |
$[(30, 165)]$ |
| 22736.j2 |
22736y1 |
22736.j |
22736y |
$2$ |
$5$ |
\( 2^{4} \cdot 7^{2} \cdot 29 \) |
\( - 2^{22} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4060$ |
$48$ |
$1$ |
$1.783742868$ |
$1$ |
|
$4$ |
$34560$ |
$1.208548$ |
$13651919/29696$ |
$1.08166$ |
$3.73191$ |
$[0, -1, 0, 3904, 154624]$ |
\(y^2=x^3-x^2+3904x+154624\) |
5.12.0.a.1, 116.2.0.?, 140.24.0.?, 580.24.1.?, 2030.24.0.?, $\ldots$ |
$[(-30, 98)]$ |
| 25578.r2 |
25578v1 |
25578.r |
25578v |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12180$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$1.064707$ |
$13651919/29696$ |
$1.08166$ |
$3.51853$ |
$[1, -1, 0, 2196, 65232]$ |
\(y^2+xy=x^3-x^2+2196x+65232\) |
5.12.0.a.1, 105.24.0.?, 116.2.0.?, 580.24.1.?, 12180.48.1.? |
$[]$ |
| 30682.e2 |
30682g1 |
30682.e |
30682g |
$2$ |
$5$ |
\( 2 \cdot 23^{2} \cdot 29 \) |
\( - 2^{10} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$13340$ |
$48$ |
$1$ |
$0.810324350$ |
$1$ |
|
$4$ |
$49280$ |
$1.110191$ |
$13651919/29696$ |
$1.08166$ |
$3.50940$ |
$[1, 1, 1, 2634, -85325]$ |
\(y^2+xy+y=x^3+x^2+2634x-85325\) |
5.12.0.a.1, 115.24.0.?, 116.2.0.?, 580.24.1.?, 13340.48.1.? |
$[(59, 499)]$ |
| 42050.y2 |
42050u1 |
42050.y |
42050u |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{10} \cdot 5^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$470400$ |
$2.030811$ |
$13651919/29696$ |
$1.08166$ |
$4.44316$ |
$[1, 1, 1, 104687, 21698031]$ |
\(y^2+xy+y=x^3+x^2+104687x+21698031\) |
5.12.0.a.1, 20.24.0-5.a.1.3, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[]$ |
| 46400.x2 |
46400o1 |
46400.x |
46400o |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{28} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.386885$ |
$13651919/29696$ |
$1.08166$ |
$3.68332$ |
$[0, -1, 0, 7967, 451937]$ |
\(y^2=x^3-x^2+7967x+451937\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
| 46400.bt2 |
46400bw1 |
46400.bt |
46400bw |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{28} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$4.232982764$ |
$1$ |
|
$0$ |
$107520$ |
$1.386885$ |
$13651919/29696$ |
$1.08166$ |
$3.68332$ |
$[0, 1, 0, 7967, -451937]$ |
\(y^2=x^3+x^2+7967x-451937\) |
5.12.0.a.1, 40.24.0-5.a.1.2, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(1311/5, 41984/5)]$ |
| 53824.m2 |
53824d1 |
53824.m |
53824d |
$2$ |
$5$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{28} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$1.833414590$ |
$1$ |
|
$2$ |
$645120$ |
$2.265812$ |
$13651919/29696$ |
$1.08166$ |
$4.60134$ |
$[0, -1, 0, 267999, 88607137]$ |
\(y^2=x^3-x^2+267999x+88607137\) |
5.12.0.a.1, 40.24.0-5.a.1.5, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[(271, 13456)]$ |
| 53824.y2 |
53824u1 |
53824.y |
53824u |
$2$ |
$5$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{28} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.265812$ |
$13651919/29696$ |
$1.08166$ |
$4.60134$ |
$[0, 1, 0, 267999, -88607137]$ |
\(y^2=x^3+x^2+267999x-88607137\) |
5.12.0.a.1, 40.24.0-5.a.1.7, 116.2.0.?, 580.24.1.?, 1160.48.1.? |
$[]$ |
| 55738.v2 |
55738v1 |
55738.v |
55738v |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 31^{2} \) |
\( - 2^{10} \cdot 29 \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$17980$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$121800$ |
$1.259439$ |
$13651919/29696$ |
$1.08166$ |
$3.48158$ |
$[1, 0, 0, 4785, -211207]$ |
\(y^2+xy=x^3+4785x-211207\) |
5.12.0.a.1, 116.2.0.?, 155.24.0.?, 580.24.1.?, 17980.48.1.? |
$[]$ |
| 56144.r2 |
56144q1 |
56144.r |
56144q |
$2$ |
$5$ |
\( 2^{4} \cdot 11^{2} \cdot 29 \) |
\( - 2^{22} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6380$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$129600$ |
$1.434540$ |
$13651919/29696$ |
$1.08166$ |
$3.67141$ |
$[0, 1, 0, 9640, 608276]$ |
\(y^2=x^3+x^2+9640x+608276\) |
5.12.0.a.1, 116.2.0.?, 220.24.0.?, 580.24.1.?, 3190.24.0.?, $\ldots$ |
$[]$ |
| 63162.bt2 |
63162ca1 |
63162.bt |
63162ca |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$19140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$162000$ |
$1.290699$ |
$13651919/29696$ |
$1.08166$ |
$3.47613$ |
$[1, -1, 1, 5422, 253905]$ |
\(y^2+xy+y=x^3-x^2+5422x+253905\) |
5.12.0.a.1, 116.2.0.?, 165.24.0.?, 580.24.1.?, 19140.48.1.? |
$[]$ |
| 71050.j2 |
71050n1 |
71050.j |
71050n |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4060$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$1.320120$ |
$13651919/29696$ |
$1.08166$ |
$3.47111$ |
$[1, 1, 0, 6100, -302000]$ |
\(y^2+xy=x^3+x^2+6100x-302000\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 4060.48.1.? |
$[]$ |
| 78416.p2 |
78416j1 |
78416.p |
78416j |
$2$ |
$5$ |
\( 2^{4} \cdot 13^{2} \cdot 29 \) |
\( - 2^{22} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$7540$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$224640$ |
$1.518066$ |
$13651919/29696$ |
$1.08166$ |
$3.65150$ |
$[0, 1, 0, 13464, -994252]$ |
\(y^2=x^3+x^2+13464x-994252\) |
5.12.0.a.1, 116.2.0.?, 260.24.0.?, 580.24.1.?, 3770.24.0.?, $\ldots$ |
$[]$ |
| 79402.a2 |
79402d1 |
79402.a |
79402d |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 37^{2} \) |
\( - 2^{10} \cdot 29 \cdot 37^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$21460$ |
$48$ |
$1$ |
$3.043440584$ |
$1$ |
|
$8$ |
$198720$ |
$1.347904$ |
$13651919/29696$ |
$1.08166$ |
$3.46647$ |
$[1, 1, 0, 6817, 362629]$ |
\(y^2+xy=x^3+x^2+6817x+362629\) |
5.12.0.a.1, 116.2.0.?, 185.24.0.?, 580.24.1.?, 21460.48.1.? |
$[(15, 677), (-994/5, 24389/5)]$ |
| 82418.c2 |
82418a1 |
82418.c |
82418a |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{10} \cdot 7^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4060$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1209600$ |
$2.199047$ |
$13651919/29696$ |
$1.08166$ |
$4.35736$ |
$[1, 1, 0, 205187, -59334211]$ |
\(y^2+xy=x^3+x^2+205187x-59334211\) |
5.12.0.a.1, 116.2.0.?, 140.24.0.?, 580.24.1.?, 1015.24.0.?, $\ldots$ |
$[]$ |
| 88218.cf2 |
88218ce1 |
88218.cf |
88218ce |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$22620$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$280800$ |
$1.374226$ |
$13651919/29696$ |
$1.08166$ |
$3.46216$ |
$[1, -1, 1, 7573, -423237]$ |
\(y^2+xy+y=x^3-x^2+7573x-423237\) |
5.12.0.a.1, 116.2.0.?, 195.24.0.?, 580.24.1.?, 22620.48.1.? |
$[]$ |
| 90944.br2 |
90944bq1 |
90944.br |
90944bq |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{28} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8120$ |
$48$ |
$1$ |
$4.957538576$ |
$1$ |
|
$2$ |
$276480$ |
$1.555120$ |
$13651919/29696$ |
$1.08166$ |
$3.64305$ |
$[0, -1, 0, 15615, -1252607]$ |
\(y^2=x^3-x^2+15615x-1252607\) |
5.12.0.a.1, 116.2.0.?, 280.24.0.?, 580.24.1.?, 8120.48.1.? |
$[(1923, 84476)]$ |
| 90944.dh2 |
90944dp1 |
90944.dh |
90944dp |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{28} \cdot 7^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8120$ |
$48$ |
$1$ |
$4.761024393$ |
$1$ |
|
$4$ |
$276480$ |
$1.555120$ |
$13651919/29696$ |
$1.08166$ |
$3.64305$ |
$[0, 1, 0, 15615, 1252607]$ |
\(y^2=x^3+x^2+15615x+1252607\) |
5.12.0.a.1, 116.2.0.?, 280.24.0.?, 580.24.1.?, 8120.48.1.? |
$[(823/3, 50176/3), (37, 1372)]$ |
| 97498.k2 |
97498k1 |
97498.k |
97498k |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 41^{2} \) |
\( - 2^{10} \cdot 29 \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$23780$ |
$48$ |
$1$ |
$1.833654172$ |
$1$ |
|
$0$ |
$281600$ |
$1.399231$ |
$13651919/29696$ |
$1.08166$ |
$3.45813$ |
$[1, 0, 0, 8370, 490244]$ |
\(y^2+xy=x^3+8370x+490244\) |
5.12.0.a.1, 116.2.0.?, 205.24.0.?, 580.24.1.?, 23780.48.1.? |
$[(-380/3, 7294/3)]$ |
| 104400.bp2 |
104400et1 |
104400.bp |
104400et |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$403200$ |
$1.589617$ |
$13651919/29696$ |
$1.08166$ |
$3.63537$ |
$[0, 0, 0, 17925, 1534250]$ |
\(y^2=x^3+17925x+1534250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 870.24.0.?, $\ldots$ |
$[]$ |
| 107242.a2 |
107242a1 |
107242.a |
107242a |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 43^{2} \) |
\( - 2^{10} \cdot 29 \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$24940$ |
$48$ |
$1$ |
$9.091057537$ |
$1$ |
|
$0$ |
$304920$ |
$1.423044$ |
$13651919/29696$ |
$1.08166$ |
$3.45437$ |
$[1, 0, 1, 9206, -563972]$ |
\(y^2+xy+y=x^3+9206x-563972\) |
5.12.0.a.1, 116.2.0.?, 215.24.0.?, 580.24.1.?, 24940.48.1.? |
$[(43157/11, 8995363/11)]$ |
| 121104.t2 |
121104bv1 |
121104.t |
121104bv |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1740$ |
$48$ |
$1$ |
$7.212935414$ |
$1$ |
|
$0$ |
$2419200$ |
$2.468548$ |
$13651919/29696$ |
$1.08166$ |
$4.49039$ |
$[0, 0, 0, 602997, 299350586]$ |
\(y^2=x^3+602997x+299350586\) |
5.12.0.a.1, 30.24.0-5.a.1.1, 116.2.0.?, 580.24.1.?, 1740.48.1.? |
$[(-11281/13, 35343866/13)]$ |
| 128122.j2 |
128122j1 |
128122.j |
128122j |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 47^{2} \) |
\( - 2^{10} \cdot 29 \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$27260$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$392840$ |
$1.467520$ |
$13651919/29696$ |
$1.08166$ |
$3.44749$ |
$[1, 1, 1, 10999, -732873]$ |
\(y^2+xy+y=x^3+x^2+10999x-732873\) |
5.12.0.a.1, 116.2.0.?, 235.24.0.?, 580.24.1.?, 27260.48.1.? |
$[]$ |
| 134096.j2 |
134096h1 |
134096.j |
134096h |
$2$ |
$5$ |
\( 2^{4} \cdot 17^{2} \cdot 29 \) |
\( - 2^{22} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$9860$ |
$48$ |
$1$ |
$2.828759966$ |
$1$ |
|
$2$ |
$399360$ |
$1.652199$ |
$13651919/29696$ |
$1.08166$ |
$3.62190$ |
$[0, -1, 0, 23024, -2241088]$ |
\(y^2=x^3-x^2+23024x-2241088\) |
5.12.0.a.1, 116.2.0.?, 340.24.0.?, 580.24.1.?, 4930.24.0.?, $\ldots$ |
$[(482, 10982)]$ |
| 150858.o2 |
150858bh1 |
150858.o |
150858bh |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$29580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$499200$ |
$1.508358$ |
$13651919/29696$ |
$1.08166$ |
$3.44136$ |
$[1, -1, 0, 12951, -945459]$ |
\(y^2+xy=x^3-x^2+12951x-945459\) |
5.12.0.a.1, 116.2.0.?, 255.24.0.?, 580.24.1.?, 29580.48.1.? |
$[]$ |
| 162922.b2 |
162922f1 |
162922.b |
162922f |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 53^{2} \) |
\( - 2^{10} \cdot 29 \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30740$ |
$48$ |
$1$ |
$5.528116539$ |
$1$ |
|
$0$ |
$581360$ |
$1.527592$ |
$13651919/29696$ |
$1.08166$ |
$3.43853$ |
$[1, 0, 1, 13986, 1058640]$ |
\(y^2+xy+y=x^3+13986x+1058640\) |
5.12.0.a.1, 116.2.0.?, 265.24.0.?, 580.24.1.?, 30740.48.1.? |
$[(-467/3, 12575/3)]$ |
| 167504.j2 |
167504h1 |
167504.j |
167504h |
$2$ |
$5$ |
\( 2^{4} \cdot 19^{2} \cdot 29 \) |
\( - 2^{22} \cdot 19^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11020$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$1.707811$ |
$13651919/29696$ |
$1.08166$ |
$3.61039$ |
$[0, -1, 0, 28760, 3108464]$ |
\(y^2=x^3-x^2+28760x+3108464\) |
5.12.0.a.1, 116.2.0.?, 380.24.0.?, 580.24.1.?, 5510.24.0.?, $\ldots$ |
$[]$ |
| 175450.cn2 |
175450bb1 |
175450.cn |
175450bb |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{10} \cdot 5^{6} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6380$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$756000$ |
$1.546112$ |
$13651919/29696$ |
$1.08166$ |
$3.43584$ |
$[1, 0, 0, 15062, -1180508]$ |
\(y^2+xy=x^3+15062x-1180508\) |
5.12.0.a.1, 55.24.0-5.a.1.2, 116.2.0.?, 580.24.1.?, 6380.48.1.? |
$[]$ |
| 188442.bn2 |
188442f1 |
188442.bn |
188442f |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{6} \cdot 19^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$33060$ |
$48$ |
$1$ |
$1.354204184$ |
$1$ |
|
$8$ |
$864000$ |
$1.563971$ |
$13651919/29696$ |
$1.08166$ |
$3.43328$ |
$[1, -1, 1, 16177, 1311383]$ |
\(y^2+xy+y=x^3-x^2+16177x+1311383\) |
5.12.0.a.1, 116.2.0.?, 285.24.0.?, 580.24.1.?, 33060.48.1.? |
$[(43, 1422), (499, 11302)]$ |
| 201898.c2 |
201898i1 |
201898.c |
201898i |
$2$ |
$5$ |
\( 2 \cdot 29 \cdot 59^{2} \) |
\( - 2^{10} \cdot 29 \cdot 59^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$34220$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$835200$ |
$1.581213$ |
$13651919/29696$ |
$1.08166$ |
$3.43083$ |
$[1, 1, 0, 17333, -1451587]$ |
\(y^2+xy=x^3+x^2+17333x-1451587\) |
5.12.0.a.1, 116.2.0.?, 295.24.0.?, 580.24.1.?, 34220.48.1.? |
$[]$ |
| 203522.o2 |
203522f1 |
203522.o |
203522f |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 29^{2} \) |
\( - 2^{10} \cdot 11^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6380$ |
$48$ |
$1$ |
$4.143486338$ |
$1$ |
|
$0$ |
$4536000$ |
$2.425041$ |
$13651919/29696$ |
$1.08166$ |
$4.25698$ |
$[1, 0, 0, 506685, -230533951]$ |
\(y^2+xy=x^3+506685x-230533951\) |
5.12.0.a.1, 116.2.0.?, 220.24.0.?, 580.24.1.?, 1595.24.0.?, $\ldots$ |
$[(9406/5, 433989/5)]$ |
