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 |
172.a1 |
172a1 |
172.a |
172a |
$2$ |
$3$ |
\( 2^{2} \cdot 43 \) |
\( - 2^{8} \cdot 43 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$258$ |
$16$ |
$0$ |
$0.760139663$ |
$1$ |
|
$10$ |
$12$ |
$-0.457803$ |
$-1024000/43$ |
$0.81000$ |
$3.77940$ |
$[0, 1, 0, -13, 15]$ |
\(y^2=x^3+x^2-13x+15\) |
3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.? |
$[(2, 1)]$ |
688.c1 |
688b1 |
688.c |
688b |
$2$ |
$3$ |
\( 2^{4} \cdot 43 \) |
\( - 2^{8} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$-0.457803$ |
$-1024000/43$ |
$0.81000$ |
$2.97752$ |
$[0, -1, 0, -13, -15]$ |
\(y^2=x^3-x^2-13x-15\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[]$ |
1548.c1 |
1548c1 |
1548.c |
1548c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$0.091503$ |
$-1024000/43$ |
$0.81000$ |
$3.54624$ |
$[0, 0, 0, -120, -524]$ |
\(y^2=x^3-120x-524\) |
3.8.0-3.a.1.1, 86.2.0.?, 258.16.0.? |
$[]$ |
2752.a1 |
2752f1 |
2752.a |
2752f |
$2$ |
$3$ |
\( 2^{6} \cdot 43 \) |
\( - 2^{14} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$2.922100172$ |
$1$ |
|
$2$ |
$384$ |
$-0.111229$ |
$-1024000/43$ |
$0.81000$ |
$2.98145$ |
$[0, 1, 0, -53, -173]$ |
\(y^2=x^3+x^2-53x-173\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[(14, 45)]$ |
2752.e1 |
2752b1 |
2752.e |
2752b |
$2$ |
$3$ |
\( 2^{6} \cdot 43 \) |
\( - 2^{14} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1.445588006$ |
$1$ |
|
$2$ |
$384$ |
$-0.111229$ |
$-1024000/43$ |
$0.81000$ |
$2.98145$ |
$[0, -1, 0, -53, 173]$ |
\(y^2=x^3-x^2-53x+173\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[(4, 3)]$ |
4300.c1 |
4300b1 |
4300.c |
4300b |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.346916$ |
$-1024000/43$ |
$0.81000$ |
$3.47954$ |
$[0, -1, 0, -333, 2537]$ |
\(y^2=x^3-x^2-333x+2537\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1290.16.0.? |
$[]$ |
6192.m1 |
6192n1 |
6192.m |
6192n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$0.476725386$ |
$1$ |
|
$4$ |
$1152$ |
$0.091503$ |
$-1024000/43$ |
$0.81000$ |
$2.98317$ |
$[0, 0, 0, -120, 524]$ |
\(y^2=x^3-120x+524\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[(10, 18)]$ |
7396.a1 |
7396a1 |
7396.a |
7396a |
$2$ |
$3$ |
\( 2^{2} \cdot 43^{2} \) |
\( - 2^{8} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$16.21890476$ |
$1$ |
|
$0$ |
$22176$ |
$1.422796$ |
$-1024000/43$ |
$0.81000$ |
$4.71693$ |
$[0, -1, 0, -24653, -1534807]$ |
\(y^2=x^3-x^2-24653x-1534807\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[(9899824/113, 30430363365/113)]$ |
8428.c1 |
8428b1 |
8428.c |
8428b |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1806$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.515152$ |
$-1024000/43$ |
$0.81000$ |
$3.44384$ |
$[0, -1, 0, -653, -6439]$ |
\(y^2=x^3-x^2-653x-6439\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1806.16.0.? |
$[]$ |
17200.f1 |
17200y1 |
17200.f |
17200y |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2580$ |
$16$ |
$0$ |
$1.222477199$ |
$1$ |
|
$4$ |
$6912$ |
$0.346916$ |
$-1024000/43$ |
$0.81000$ |
$2.98494$ |
$[0, 1, 0, -333, -2537]$ |
\(y^2=x^3+x^2-333x-2537\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 2580.16.0.? |
$[(23, 50)]$ |
20812.g1 |
20812i1 |
20812.g |
20812i |
$2$ |
$3$ |
\( 2^{2} \cdot 11^{2} \cdot 43 \) |
\( - 2^{8} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2838$ |
$16$ |
$0$ |
$10.98983012$ |
$1$ |
|
$0$ |
$16200$ |
$0.741144$ |
$-1024000/43$ |
$0.81000$ |
$3.40349$ |
$[0, 1, 0, -1613, -26369]$ |
\(y^2=x^3+x^2-1613x-26369\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 2838.16.0.? |
$[(52426/17, 11712691/17)]$ |
24768.bi1 |
24768k1 |
24768.bi |
24768k |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.438076$ |
$-1024000/43$ |
$0.81000$ |
$2.98548$ |
$[0, 0, 0, -480, -4192]$ |
\(y^2=x^3-480x-4192\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[]$ |
24768.br1 |
24768cl1 |
24768.br |
24768cl |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.438076$ |
$-1024000/43$ |
$0.81000$ |
$2.98548$ |
$[0, 0, 0, -480, 4192]$ |
\(y^2=x^3-480x+4192\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[]$ |
29068.a1 |
29068e1 |
29068.a |
29068e |
$2$ |
$3$ |
\( 2^{2} \cdot 13^{2} \cdot 43 \) |
\( - 2^{8} \cdot 13^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3354$ |
$16$ |
$0$ |
$3.924189559$ |
$1$ |
|
$2$ |
$28080$ |
$0.824672$ |
$-1024000/43$ |
$0.81000$ |
$3.39037$ |
$[0, 1, 0, -2253, 41887]$ |
\(y^2=x^3+x^2-2253x+41887\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 3354.16.0.? |
$[(-6, 235)]$ |
29584.c1 |
29584m1 |
29584.c |
29584m |
$2$ |
$3$ |
\( 2^{4} \cdot 43^{2} \) |
\( - 2^{8} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$0.523353389$ |
$1$ |
|
$2$ |
$88704$ |
$1.422796$ |
$-1024000/43$ |
$0.81000$ |
$4.08176$ |
$[0, 1, 0, -24653, 1534807]$ |
\(y^2=x^3+x^2-24653x+1534807\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[(186, 1849)]$ |
33712.d1 |
33712m1 |
33712.d |
33712m |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3612$ |
$16$ |
$0$ |
$0.707311888$ |
$1$ |
|
$4$ |
$13824$ |
$0.515152$ |
$-1024000/43$ |
$0.81000$ |
$2.98591$ |
$[0, 1, 0, -653, 6439]$ |
\(y^2=x^3+x^2-653x+6439\) |
3.4.0.a.1, 84.8.0.?, 86.2.0.?, 258.8.0.?, 3612.16.0.? |
$[(-5, 98)]$ |
38700.q1 |
38700f1 |
38700.q |
38700f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$1.896519798$ |
$1$ |
|
$2$ |
$41472$ |
$0.896222$ |
$-1024000/43$ |
$0.81000$ |
$3.37979$ |
$[0, 0, 0, -3000, -65500]$ |
\(y^2=x^3-3000x-65500\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1290.16.0.? |
$[(220, 3150)]$ |
49708.c1 |
49708c1 |
49708.c |
49708c |
$2$ |
$3$ |
\( 2^{2} \cdot 17^{2} \cdot 43 \) |
\( - 2^{8} \cdot 17^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4386$ |
$16$ |
$0$ |
$3.681215178$ |
$1$ |
|
$2$ |
$60480$ |
$0.958804$ |
$-1024000/43$ |
$0.81000$ |
$3.37100$ |
$[0, -1, 0, -3853, 96633]$ |
\(y^2=x^3-x^2-3853x+96633\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 4386.16.0.? |
$[(99, 822)]$ |
62092.b1 |
62092b1 |
62092.b |
62092b |
$2$ |
$3$ |
\( 2^{2} \cdot 19^{2} \cdot 43 \) |
\( - 2^{8} \cdot 19^{6} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4902$ |
$16$ |
$0$ |
$21.66412973$ |
$1$ |
|
$2$ |
$85536$ |
$1.014416$ |
$-1024000/43$ |
$0.81000$ |
$3.36352$ |
$[0, -1, 0, -4813, -131511]$ |
\(y^2=x^3-x^2-4813x-131511\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 4902.16.0.? |
$[(2085/2, 94221/2), (96, 531)]$ |
66564.e1 |
66564e1 |
66564.e |
66564e |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$532224$ |
$1.972103$ |
$-1024000/43$ |
$0.81000$ |
$4.37725$ |
$[0, 0, 0, -221880, 41661668]$ |
\(y^2=x^3-221880x+41661668\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[]$ |
68800.bj1 |
68800bo1 |
68800.bj |
68800bo |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5160$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.693489$ |
$-1024000/43$ |
$0.81000$ |
$2.98681$ |
$[0, 1, 0, -1333, 18963]$ |
\(y^2=x^3+x^2-1333x+18963\) |
3.4.0.a.1, 86.2.0.?, 120.8.0.?, 258.8.0.?, 5160.16.0.? |
$[]$ |
68800.db1 |
68800da1 |
68800.db |
68800da |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5160$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.693489$ |
$-1024000/43$ |
$0.81000$ |
$2.98681$ |
$[0, -1, 0, -1333, -18963]$ |
\(y^2=x^3-x^2-1333x-18963\) |
3.4.0.a.1, 86.2.0.?, 120.8.0.?, 258.8.0.?, 5160.16.0.? |
$[]$ |
75852.k1 |
75852k1 |
75852.k |
75852k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1806$ |
$16$ |
$0$ |
$1.861997612$ |
$1$ |
|
$2$ |
$82944$ |
$1.064459$ |
$-1024000/43$ |
$0.81000$ |
$3.35705$ |
$[0, 0, 0, -5880, 179732]$ |
\(y^2=x^3-5880x+179732\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1806.16.0.? |
$[(133, 1323)]$ |
83248.bc1 |
83248bn1 |
83248.bc |
83248bn |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 43 \) |
\( - 2^{8} \cdot 11^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5676$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64800$ |
$0.741144$ |
$-1024000/43$ |
$0.81000$ |
$2.98703$ |
$[0, -1, 0, -1613, 26369]$ |
\(y^2=x^3-x^2-1613x+26369\) |
3.4.0.a.1, 86.2.0.?, 132.8.0.?, 258.8.0.?, 5676.16.0.? |
$[]$ |
90988.a1 |
90988e1 |
90988.a |
90988e |
$2$ |
$3$ |
\( 2^{2} \cdot 23^{2} \cdot 43 \) |
\( - 2^{8} \cdot 23^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5934$ |
$16$ |
$0$ |
$7.229199436$ |
$1$ |
|
$2$ |
$149688$ |
$1.109943$ |
$-1024000/43$ |
$0.81000$ |
$3.35136$ |
$[0, 1, 0, -7053, -238481]$ |
\(y^2=x^3+x^2-7053x-238481\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 5934.16.0.? |
$[(1330, 48423)]$ |
116272.t1 |
116272n1 |
116272.t |
116272n |
$2$ |
$3$ |
\( 2^{4} \cdot 13^{2} \cdot 43 \) |
\( - 2^{8} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6708$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$112320$ |
$0.824672$ |
$-1024000/43$ |
$0.81000$ |
$2.98740$ |
$[0, -1, 0, -2253, -41887]$ |
\(y^2=x^3-x^2-2253x-41887\) |
3.4.0.a.1, 86.2.0.?, 156.8.0.?, 258.8.0.?, 6708.16.0.? |
$[]$ |
118336.e1 |
118336p1 |
118336.e |
118336p |
$2$ |
$3$ |
\( 2^{6} \cdot 43^{2} \) |
\( - 2^{14} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$709632$ |
$1.769371$ |
$-1024000/43$ |
$0.81000$ |
$3.95338$ |
$[0, 1, 0, -98613, -12377069]$ |
\(y^2=x^3+x^2-98613x-12377069\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[]$ |
118336.bj1 |
118336bk1 |
118336.bj |
118336bk |
$2$ |
$3$ |
\( 2^{6} \cdot 43^{2} \) |
\( - 2^{14} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$8.090965006$ |
$1$ |
|
$2$ |
$709632$ |
$1.769371$ |
$-1024000/43$ |
$0.81000$ |
$3.95338$ |
$[0, -1, 0, -98613, 12377069]$ |
\(y^2=x^3-x^2-98613x+12377069\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 86.2.0.?, 258.8.0.?, 1032.16.0.? |
$[(3236, 183219)]$ |
134848.j1 |
134848ba1 |
134848.j |
134848ba |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 43 \) |
\( - 2^{14} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.861726$ |
$-1024000/43$ |
$0.81000$ |
$2.98756$ |
$[0, 1, 0, -2613, -54125]$ |
\(y^2=x^3+x^2-2613x-54125\) |
3.4.0.a.1, 86.2.0.?, 168.8.0.?, 258.8.0.?, 7224.16.0.? |
$[]$ |
134848.bs1 |
134848q1 |
134848.bs |
134848q |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 43 \) |
\( - 2^{14} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.861726$ |
$-1024000/43$ |
$0.81000$ |
$2.98756$ |
$[0, -1, 0, -2613, 54125]$ |
\(y^2=x^3-x^2-2613x+54125\) |
3.4.0.a.1, 86.2.0.?, 168.8.0.?, 258.8.0.?, 7224.16.0.? |
$[]$ |
144652.a1 |
144652a1 |
144652.a |
144652a |
$2$ |
$3$ |
\( 2^{2} \cdot 29^{2} \cdot 43 \) |
\( - 2^{8} \cdot 29^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7482$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$1.225845$ |
$-1024000/43$ |
$0.81000$ |
$3.33765$ |
$[0, -1, 0, -11213, 477065]$ |
\(y^2=x^3-x^2-11213x+477065\) |
3.4.0.a.1, 86.2.0.?, 87.8.0.?, 258.8.0.?, 7482.16.0.? |
$[]$ |
154800.j1 |
154800bl1 |
154800.j |
154800bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2580$ |
$16$ |
$0$ |
$1.312214307$ |
$1$ |
|
$12$ |
$165888$ |
$0.896222$ |
$-1024000/43$ |
$0.81000$ |
$2.98771$ |
$[0, 0, 0, -3000, 65500]$ |
\(y^2=x^3-3000x+65500\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 2580.16.0.? |
$[(30, 50), (5, 225)]$ |
165292.c1 |
165292c1 |
165292.c |
165292c |
$2$ |
$3$ |
\( 2^{2} \cdot 31^{2} \cdot 43 \) |
\( - 2^{8} \cdot 31^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7998$ |
$16$ |
$0$ |
$13.85568280$ |
$1$ |
|
$0$ |
$359640$ |
$1.259192$ |
$-1024000/43$ |
$0.81000$ |
$3.33390$ |
$[0, -1, 0, -12813, -573895]$ |
\(y^2=x^3-x^2-12813x-573895\) |
3.4.0.a.1, 86.2.0.?, 93.8.0.?, 258.8.0.?, 7998.16.0.? |
$[(857072/53, 726737511/53)]$ |
184900.a1 |
184900a1 |
184900.a |
184900a |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$1.599898180$ |
$1$ |
|
$4$ |
$3193344$ |
$2.227516$ |
$-1024000/43$ |
$0.81000$ |
$4.26122$ |
$[0, 1, 0, -616333, -193083537]$ |
\(y^2=x^3+x^2-616333x-193083537\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 645.8.0.?, $\ldots$ |
$[(917, 3698)]$ |
187308.v1 |
187308t1 |
187308.v |
187308t |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2838$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$388800$ |
$1.290451$ |
$-1024000/43$ |
$0.81000$ |
$3.33046$ |
$[0, 0, 0, -14520, 697444]$ |
\(y^2=x^3-14520x+697444\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 2838.16.0.? |
$[]$ |
198832.b1 |
198832a1 |
198832.b |
198832a |
$2$ |
$3$ |
\( 2^{4} \cdot 17^{2} \cdot 43 \) |
\( - 2^{8} \cdot 17^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8772$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$0.958804$ |
$-1024000/43$ |
$0.81000$ |
$2.98796$ |
$[0, 1, 0, -3853, -96633]$ |
\(y^2=x^3+x^2-3853x-96633\) |
3.4.0.a.1, 86.2.0.?, 204.8.0.?, 258.8.0.?, 8772.16.0.? |
$[]$ |
210700.c1 |
210700d1 |
210700.c |
210700d |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9030$ |
$16$ |
$0$ |
$3.947154755$ |
$1$ |
|
$2$ |
$497664$ |
$1.319872$ |
$-1024000/43$ |
$0.81000$ |
$3.32729$ |
$[0, 1, 0, -16333, -837537]$ |
\(y^2=x^3+x^2-16333x-837537\) |
3.4.0.a.1, 86.2.0.?, 105.8.0.?, 258.8.0.?, 9030.16.0.? |
$[(1738, 72275)]$ |
235468.a1 |
235468a1 |
235468.a |
235468a |
$2$ |
$3$ |
\( 2^{2} \cdot 37^{2} \cdot 43 \) |
\( - 2^{8} \cdot 37^{6} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9546$ |
$16$ |
$0$ |
$5.795707506$ |
$1$ |
|
$6$ |
$596160$ |
$1.347656$ |
$-1024000/43$ |
$0.81000$ |
$3.32435$ |
$[0, 1, 0, -18253, 976959]$ |
\(y^2=x^3+x^2-18253x+976959\) |
3.4.0.a.1, 86.2.0.?, 111.8.0.?, 258.8.0.?, 9546.16.0.? |
$[(-62, 1369), (377/4, 47915/4)]$ |
248368.h1 |
248368h1 |
248368.h |
248368h |
$2$ |
$3$ |
\( 2^{4} \cdot 19^{2} \cdot 43 \) |
\( - 2^{8} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9804$ |
$16$ |
$0$ |
$1.793930695$ |
$1$ |
|
$2$ |
$342144$ |
$1.014416$ |
$-1024000/43$ |
$0.81000$ |
$2.98817$ |
$[0, 1, 0, -4813, 131511]$ |
\(y^2=x^3+x^2-4813x+131511\) |
3.4.0.a.1, 86.2.0.?, 228.8.0.?, 258.8.0.?, 9804.16.0.? |
$[(-70, 361)]$ |
261612.k1 |
261612k1 |
261612.k |
261612k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3354$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$673920$ |
$1.373978$ |
$-1024000/43$ |
$0.81000$ |
$3.32161$ |
$[0, 0, 0, -20280, -1151228]$ |
\(y^2=x^3-20280x-1151228\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 3354.16.0.? |
$[]$ |
266256.bj1 |
266256bj1 |
266256.bj |
266256bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 43^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$6.989278872$ |
$1$ |
|
$6$ |
$2128896$ |
$1.972103$ |
$-1024000/43$ |
$0.81000$ |
$3.89149$ |
$[0, 0, 0, -221880, -41661668]$ |
\(y^2=x^3-221880x-41661668\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 86.2.0.?, 258.8.0.?, 516.16.0.? |
$[(1118, 33282), (6837, 563945)]$ |
289132.c1 |
289132c1 |
289132.c |
289132c |
$2$ |
$3$ |
\( 2^{2} \cdot 41^{2} \cdot 43 \) |
\( - 2^{8} \cdot 41^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10578$ |
$16$ |
$0$ |
$8.473709675$ |
$1$ |
|
$0$ |
$842400$ |
$1.398983$ |
$-1024000/43$ |
$0.81000$ |
$3.31905$ |
$[0, -1, 0, -22413, 1345049]$ |
\(y^2=x^3-x^2-22413x+1345049\) |
3.4.0.a.1, 86.2.0.?, 123.8.0.?, 258.8.0.?, 10578.16.0.? |
$[(13091/11, 556566/11)]$ |
303408.ck1 |
303408ck1 |
303408.ck |
303408ck |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3612$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.064459$ |
$-1024000/43$ |
$0.81000$ |
$2.98836$ |
$[0, 0, 0, -5880, -179732]$ |
\(y^2=x^3-5880x-179732\) |
3.4.0.a.1, 84.8.0.?, 86.2.0.?, 258.8.0.?, 3612.16.0.? |
$[]$ |
332992.p1 |
332992p1 |
332992.p |
332992p |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 43 \) |
\( - 2^{14} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11352$ |
$16$ |
$0$ |
$3.999967826$ |
$1$ |
|
$2$ |
$518400$ |
$1.087719$ |
$-1024000/43$ |
$0.81000$ |
$2.98845$ |
$[0, 1, 0, -6453, 204499]$ |
\(y^2=x^3+x^2-6453x+204499\) |
3.4.0.a.1, 86.2.0.?, 258.8.0.?, 264.8.0.?, 11352.16.0.? |
$[(30, 197)]$ |
332992.dk1 |
332992dk1 |
332992.dk |
332992dk |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 43 \) |
\( - 2^{14} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11352$ |
$16$ |
$0$ |
$57.70075784$ |
$1$ |
|
$0$ |
$518400$ |
$1.087719$ |
$-1024000/43$ |
$0.81000$ |
$2.98845$ |
$[0, -1, 0, -6453, -204499]$ |
\(y^2=x^3-x^2-6453x-204499\) |
3.4.0.a.1, 86.2.0.?, 258.8.0.?, 264.8.0.?, 11352.16.0.? |
$[(8813813433495039925365908/238774378399, 21388895503306394385230826999678104715/238774378399)]$ |
362404.c1 |
362404c1 |
362404.c |
362404c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 43^{2} \) |
\( - 2^{8} \cdot 7^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1806$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6386688$ |
$2.395752$ |
$-1024000/43$ |
$0.81000$ |
$4.19492$ |
$[0, 1, 0, -1208013, 528854815]$ |
\(y^2=x^3+x^2-1208013x+528854815\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 903.8.0.?, $\ldots$ |
$[]$ |
363952.bb1 |
363952bb1 |
363952.bb |
363952bb |
$2$ |
$3$ |
\( 2^{4} \cdot 23^{2} \cdot 43 \) |
\( - 2^{8} \cdot 23^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11868$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$598752$ |
$1.109943$ |
$-1024000/43$ |
$0.81000$ |
$2.98853$ |
$[0, -1, 0, -7053, 238481]$ |
\(y^2=x^3-x^2-7053x+238481\) |
3.4.0.a.1, 86.2.0.?, 258.8.0.?, 276.8.0.?, 11868.16.0.? |
$[]$ |
379948.c1 |
379948c1 |
379948.c |
379948c |
$2$ |
$3$ |
\( 2^{2} \cdot 43 \cdot 47^{2} \) |
\( - 2^{8} \cdot 43 \cdot 47^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12126$ |
$16$ |
$0$ |
$1.249452075$ |
$1$ |
|
$4$ |
$1192320$ |
$1.467270$ |
$-1024000/43$ |
$0.81000$ |
$3.31227$ |
$[0, 1, 0, -29453, -2024753]$ |
\(y^2=x^3+x^2-29453x-2024753\) |
3.4.0.a.1, 86.2.0.?, 141.8.0.?, 258.8.0.?, 12126.16.0.? |
$[(313, 4418)]$ |
447372.i1 |
447372i1 |
447372.i |
447372i |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 17^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{6} \cdot 17^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4386$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1451520$ |
$1.508110$ |
$-1024000/43$ |
$0.81000$ |
$3.30835$ |
$[0, 0, 0, -34680, -2574412]$ |
\(y^2=x^3-34680x-2574412\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 4386.16.0.? |
$[]$ |
465088.g1 |
465088g1 |
465088.g |
465088g |
$2$ |
$3$ |
\( 2^{6} \cdot 13^{2} \cdot 43 \) |
\( - 2^{14} \cdot 13^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13416$ |
$16$ |
$0$ |
$16.31066752$ |
$1$ |
|
$0$ |
$898560$ |
$1.171246$ |
$-1024000/43$ |
$0.81000$ |
$2.98874$ |
$[0, 1, 0, -9013, -344109]$ |
\(y^2=x^3+x^2-9013x-344109\) |
3.4.0.a.1, 86.2.0.?, 258.8.0.?, 312.8.0.?, 13416.16.0.? |
$[(10462166/173, 32476799629/173)]$ |