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 |
80080.a1 |
80080bb1 |
80080.a |
80080bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{23} \cdot 5^{5} \cdot 7 \cdot 11^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40040$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1140480$ |
$1.898302$ |
$-849087117004123089/775174400000$ |
$0.94221$ |
$4.39317$ |
$[0, 0, 0, -315643, 68310058]$ |
\(y^2=x^3-315643x+68310058\) |
40040.2.0.? |
$[ ]$ |
80080.b1 |
80080y2 |
80080.b |
80080y |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.755566251$ |
$1$ |
|
$21$ |
$307200$ |
$1.397921$ |
$277282601924329/13856242400$ |
$0.87566$ |
$3.68210$ |
$[0, 1, 0, -21736, 1171764]$ |
\(y^2=x^3+x^2-21736x+1171764\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(110, 352), (44, 550)]$ |
80080.b2 |
80080y1 |
80080.b |
80080y |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$3.022265005$ |
$1$ |
|
$13$ |
$153600$ |
$1.051346$ |
$1500730351849/394634240$ |
$0.97695$ |
$3.21986$ |
$[0, 1, 0, -3816, -68300]$ |
\(y^2=x^3+x^2-3816x-68300\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(-36, 154), (-25, 110)]$ |
80080.c1 |
80080j2 |
80080.c |
80080j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.275750516$ |
$1$ |
|
$35$ |
$270336$ |
$1.345629$ |
$82908135457058/29634179575$ |
$0.87198$ |
$3.51378$ |
$[0, 1, 0, -11536, 291060]$ |
\(y^2=x^3+x^2-11536x+291060\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(14, 364), (126, 924)]$ |
80080.c2 |
80080j1 |
80080.c |
80080j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.103002067$ |
$1$ |
|
$21$ |
$135168$ |
$0.999056$ |
$1124560408604/1093547455$ |
$0.83779$ |
$3.07152$ |
$[0, 1, 0, 2184, 33124]$ |
\(y^2=x^3+x^2+2184x+33124\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(0, 182), (112, 1302)]$ |
80080.d1 |
80080bh1 |
80080.d |
80080bh |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1.152055194$ |
$1$ |
|
$7$ |
$207360$ |
$1.248653$ |
$100473287628169/1255654400$ |
$0.86747$ |
$3.59219$ |
$[0, 1, 0, -15496, -739596]$ |
\(y^2=x^3+x^2-15496x-739596\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[(-76, 70)]$ |
80080.d2 |
80080bh2 |
80080.d |
80080bh |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{17} \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$0.576027597$ |
$1$ |
|
$9$ |
$414720$ |
$1.595226$ |
$-529278808969/384928704160$ |
$0.93835$ |
$3.75967$ |
$[0, 1, 0, -2696, -1912076]$ |
\(y^2=x^3+x^2-2696x-1912076\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[(222, 2912)]$ |
80080.e1 |
80080bg2 |
80080.e |
80080bg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{3} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.893945130$ |
$1$ |
|
$7$ |
$16588800$ |
$3.526424$ |
$94031444894103168991379569/751757345923083500000$ |
$0.99442$ |
$6.03354$ |
$[0, 1, 0, -151578096, 713265531604]$ |
\(y^2=x^3+x^2-151578096x+713265531604\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(5244, 250250)]$ |
80080.e2 |
80080bg1 |
80080.e |
80080bg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{22} \cdot 5^{3} \cdot 7^{6} \cdot 11^{5} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.446972565$ |
$1$ |
|
$11$ |
$8294400$ |
$3.179852$ |
$-870362660116472101489/69268382228036992000$ |
$1.00362$ |
$5.44376$ |
$[0, 1, 0, -3182576, 25719408340]$ |
\(y^2=x^3+x^2-3182576x+25719408340\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(-2036, 154154)]$ |
80080.f1 |
80080l2 |
80080.f |
80080l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 5^{2} \cdot 7^{5} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$2.552598206$ |
$1$ |
|
$5$ |
$942080$ |
$2.019241$ |
$19655722104996852002/1452074799175$ |
$0.93538$ |
$4.60991$ |
$[0, 1, 0, -714000, -232441100]$ |
\(y^2=x^3+x^2-714000x-232441100\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(-490, 100)]$ |
80080.f2 |
80080l1 |
80080.f |
80080l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5 \cdot 7^{10} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$5.105196412$ |
$1$ |
|
$3$ |
$471040$ |
$1.672668$ |
$-7842726398193124/2625607439455$ |
$0.89436$ |
$3.89577$ |
$[0, 1, 0, -41720, -4134812]$ |
\(y^2=x^3+x^2-41720x-4134812\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(342, 4660)]$ |
80080.g1 |
80080bp2 |
80080.g |
80080bp |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{23} \cdot 5^{2} \cdot 7 \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1351680$ |
$2.121555$ |
$49056876391028985361/1238587750400$ |
$0.94275$ |
$4.75231$ |
$[0, 1, 0, -1220240, 518401300]$ |
\(y^2=x^3+x^2-1220240x+518401300\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[ ]$ |
80080.g2 |
80080bp1 |
80080.g |
80080bp |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{34} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$675840$ |
$1.774982$ |
$-10659765530791441/1910316728320$ |
$0.90232$ |
$4.02920$ |
$[0, 1, 0, -73360, 8727828]$ |
\(y^2=x^3+x^2-73360x+8727828\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[ ]$ |
80080.h1 |
80080bo1 |
80080.h |
80080bo |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{14} \cdot 7^{7} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$66608640$ |
$4.124008$ |
$7880674655180529862975333650241/485902433618164062500$ |
$1.02223$ |
$7.03758$ |
$[0, 1, 0, -6633354560, -207946935961292]$ |
\(y^2=x^3+x^2-6633354560x-207946935961292\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[ ]$ |
80080.h2 |
80080bo2 |
80080.h |
80080bo |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{13} \cdot 5^{7} \cdot 7^{14} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$133217280$ |
$4.470581$ |
$-7836207145707675363877221150241/61892506418165667150156250$ |
$1.02231$ |
$7.03828$ |
$[0, 1, 0, -6620854560, -208769670961292]$ |
\(y^2=x^3+x^2-6620854560x-208769670961292\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[ ]$ |
80080.i1 |
80080bw1 |
80080.i |
80080bw |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1.475860177$ |
$1$ |
|
$5$ |
$29184$ |
$0.373589$ |
$594823321/100100$ |
$0.85583$ |
$2.52609$ |
$[0, 1, 0, -280, 1428]$ |
\(y^2=x^3+x^2-280x+1428\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[(-4, 50)]$ |
80080.i2 |
80080bw2 |
80080.i |
80080bw |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{13} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$0.737930088$ |
$1$ |
|
$7$ |
$58368$ |
$0.720162$ |
$3789119879/10020010$ |
$0.80390$ |
$2.80278$ |
$[0, 1, 0, 520, 8788]$ |
\(y^2=x^3+x^2+520x+8788\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[(-2, 88)]$ |
80080.j1 |
80080q1 |
80080.j |
80080q |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33280$ |
$0.254305$ |
$3550014724/25025$ |
$0.85708$ |
$2.56153$ |
$[0, 1, 0, -320, -2300]$ |
\(y^2=x^3+x^2-320x-2300\) |
2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.? |
$[ ]$ |
80080.j2 |
80080q2 |
80080.j |
80080q |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$66560$ |
$0.600879$ |
$-94091762/5010005$ |
$0.91152$ |
$2.70283$ |
$[0, 1, 0, -120, -4940]$ |
\(y^2=x^3+x^2-120x-4940\) |
2.3.0.a.1, 40.6.0.a.1, 4004.6.0.?, 40040.12.0.? |
$[ ]$ |
80080.k1 |
80080p2 |
80080.k |
80080p |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{5} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.134315554$ |
$1$ |
|
$51$ |
$1290240$ |
$2.260757$ |
$25886923260626221922/649781992234375$ |
$0.93711$ |
$4.63430$ |
$[0, 1, 0, -782640, 260391988]$ |
\(y^2=x^3+x^2-782640x+260391988\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(246, 9100), (3046, 161700)]$ |
80080.k2 |
80080p1 |
80080.k |
80080p |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.537262218$ |
$1$ |
|
$31$ |
$645120$ |
$1.914183$ |
$145165283354417764/55541695834625$ |
$0.91783$ |
$4.11381$ |
$[0, 1, 0, -110360, -8251100]$ |
\(y^2=x^3+x^2-110360x-8251100\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(-90, 980), (-160, 2310)]$ |
80080.l1 |
80080by2 |
80080.l |
80080by |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 5^{10} \cdot 7^{3} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.114387275$ |
$1$ |
|
$19$ |
$2764800$ |
$2.534824$ |
$131968708375248110521/16576071230468750$ |
$0.94946$ |
$4.83995$ |
$[0, 1, 0, -1697080, 752390100]$ |
\(y^2=x^3+x^2-1697080x+752390100\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-770, 40040)]$ |
80080.l2 |
80080by1 |
80080.l |
80080by |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{5} \cdot 7^{6} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$0.228774551$ |
$1$ |
|
$13$ |
$1382400$ |
$2.188251$ |
$119575490767273459801/2313273462500$ |
$0.94666$ |
$4.83122$ |
$[0, 1, 0, -1642200, 809443348]$ |
\(y^2=x^3+x^2-1642200x+809443348\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(756, 770)]$ |
80080.m1 |
80080u1 |
80080.m |
80080u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{17} \cdot 5 \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120120$ |
$16$ |
$0$ |
$2.352761420$ |
$1$ |
|
$2$ |
$103680$ |
$1.095160$ |
$-6321363049/949588640$ |
$0.99978$ |
$3.22811$ |
$[0, -1, 0, -616, -94864]$ |
\(y^2=x^3-x^2-616x-94864\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 40040.2.0.?, 120120.16.0.? |
$[(68, 416)]$ |
80080.m2 |
80080u2 |
80080.m |
80080u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{27} \cdot 5^{3} \cdot 7 \cdot 11 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120120$ |
$16$ |
$0$ |
$0.784253806$ |
$1$ |
|
$4$ |
$311040$ |
$1.644464$ |
$4599970967591/692916224000$ |
$0.92865$ |
$3.81132$ |
$[0, -1, 0, 5544, 2556400]$ |
\(y^2=x^3-x^2+5544x+2556400\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 40040.2.0.?, 120120.16.0.? |
$[(556, 13312)]$ |
80080.n1 |
80080br1 |
80080.n |
80080br |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 5^{9} \cdot 7^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$360360$ |
$144$ |
$3$ |
$3.923594803$ |
$1$ |
|
$2$ |
$1679616$ |
$2.474579$ |
$-23435988854433472928521/766390625000$ |
$0.96759$ |
$5.29869$ |
$[0, -1, 0, -9539080, -11336685328]$ |
\(y^2=x^3-x^2-9539080x-11336685328\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 117.36.0.?, $\ldots$ |
$[(6724, 478000)]$ |
80080.n2 |
80080br2 |
80080.n |
80080br |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{21} \cdot 5^{3} \cdot 7^{9} \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$360360$ |
$144$ |
$3$ |
$1.307864934$ |
$1$ |
|
$4$ |
$5038848$ |
$3.023884$ |
$-18456760454403600758521/7552147204137536000$ |
$0.97190$ |
$5.32490$ |
$[0, -1, 0, -8809080, -13145341328]$ |
\(y^2=x^3-x^2-8809080x-13145341328\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 117.36.0.?, 468.72.0.?, 40040.2.0.?, $\ldots$ |
$[(3804, 91520)]$ |
80080.n3 |
80080br3 |
80080.n |
80080br |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{39} \cdot 5 \cdot 7^{3} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$360360$ |
$144$ |
$3$ |
$3.923594803$ |
$1$ |
|
$0$ |
$15116544$ |
$3.573193$ |
$8446932880984669534870679/7055885522874568540160$ |
$1.00051$ |
$5.82011$ |
$[0, -1, 0, 67885720, 143337734512]$ |
\(y^2=x^3-x^2+67885720x+143337734512\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 117.36.0.?, $\ldots$ |
$[(-374172/17, 1133969408/17)]$ |
80080.o1 |
80080t4 |
80080.o |
80080t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 5^{4} \cdot 7^{2} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$2.116196$ |
$331616731345462809/170683258996250$ |
$0.96392$ |
$4.30976$ |
$[0, 0, 0, -230723, 14185922]$ |
\(y^2=x^3-230723x+14185922\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 52.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
80080.o2 |
80080t2 |
80080.o |
80080t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$344064$ |
$1.769623$ |
$57695467871815929/594086392900$ |
$0.98403$ |
$4.15487$ |
$[0, 0, 0, -128803, -17633502]$ |
\(y^2=x^3-128803x-17633502\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 52.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
80080.o3 |
80080t1 |
80080.o |
80080t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.423050$ |
$57266517014673849/6166160$ |
$0.98375$ |
$4.15421$ |
$[0, 0, 0, -128483, -17726238]$ |
\(y^2=x^3-128483x-17726238\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ |
$[ ]$ |
80080.o4 |
80080t3 |
80080.o |
80080t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{13} \cdot 5 \cdot 7^{8} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$2.116196$ |
$-884984855328729/199224662446810$ |
$0.98690$ |
$4.31330$ |
$[0, 0, 0, -32003, -43517822]$ |
\(y^2=x^3-32003x-43517822\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ |
$[ ]$ |
80080.p1 |
80080b2 |
80080.p |
80080b |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5^{6} \cdot 7 \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.851261$ |
$352246923396/172046875$ |
$0.88013$ |
$2.96871$ |
$[0, 0, 0, -1483, 8682]$ |
\(y^2=x^3-1483x+8682\) |
2.3.0.a.1, 220.6.0.?, 364.6.0.?, 20020.12.0.? |
$[ ]$ |
80080.p2 |
80080b1 |
80080.p |
80080b |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.504687$ |
$16533829296/11386375$ |
$0.82855$ |
$2.57501$ |
$[0, 0, 0, 337, 1038]$ |
\(y^2=x^3+337x+1038\) |
2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.? |
$[ ]$ |
80080.q1 |
80080w2 |
80080.q |
80080w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 5^{10} \cdot 7^{3} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$5.568447662$ |
$1$ |
|
$3$ |
$614400$ |
$1.992189$ |
$1357046347029907689/5268935546875$ |
$0.97095$ |
$4.43456$ |
$[0, 0, 0, -369043, 86000658]$ |
\(y^2=x^3-369043x+86000658\) |
2.3.0.a.1, 220.6.0.?, 364.6.0.?, 20020.12.0.? |
$[(623, 9894)]$ |
80080.q2 |
80080w1 |
80080.q |
80080w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 5^{5} \cdot 7^{6} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20020$ |
$12$ |
$0$ |
$2.784223831$ |
$1$ |
|
$5$ |
$307200$ |
$1.645617$ |
$-50525789641209/683467159375$ |
$0.93032$ |
$3.81416$ |
$[0, 0, 0, -12323, 2599522]$ |
\(y^2=x^3-12323x+2599522\) |
2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.? |
$[(-63, 1768)]$ |
80080.r1 |
80080z2 |
80080.r |
80080z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$87552$ |
$1.078547$ |
$384959644142544/1423296875$ |
$0.97254$ |
$3.46560$ |
$[0, 0, 0, -9623, 362178]$ |
\(y^2=x^3-9623x+362178\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[ ]$ |
80080.r2 |
80080z1 |
80080.r |
80080z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5^{3} \cdot 7 \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43776$ |
$0.731973$ |
$-243907559424/3023895875$ |
$1.09282$ |
$2.84327$ |
$[0, 0, 0, -328, 10827]$ |
\(y^2=x^3-328x+10827\) |
2.3.0.a.1, 44.6.0.b.1, 70.6.0.a.1, 1540.12.0.? |
$[ ]$ |
80080.s1 |
80080ba2 |
80080.s |
80080ba |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 5^{4} \cdot 7^{5} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$2.537426$ |
$545861123494712462529/6289889684828750$ |
$0.97280$ |
$4.96570$ |
$[0, 0, 0, -2724203, -1713325798]$ |
\(y^2=x^3-2724203x-1713325798\) |
2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.? |
$[ ]$ |
80080.s2 |
80080ba1 |
80080.s |
80080ba |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{14} \cdot 5^{2} \cdot 7^{10} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$2.190853$ |
$-1165880220753249/488766923344700$ |
$1.02600$ |
$4.39268$ |
$[0, 0, 0, -35083, -68122182]$ |
\(y^2=x^3-35083x-68122182\) |
2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.? |
$[ ]$ |
80080.t1 |
80080bd4 |
80080.t |
80080bd |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$5.964823928$ |
$1$ |
|
$7$ |
$1376256$ |
$2.382439$ |
$61458947171027474307849/96346250$ |
$1.01303$ |
$5.38408$ |
$[0, 0, 0, -13154483, 18363640818]$ |
\(y^2=x^3-13154483x+18363640818\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 52.12.0-4.c.1.2, $\ldots$ |
$[(2103, 714), (2319, 18150)]$ |
80080.t2 |
80080bd2 |
80080.t |
80080bd |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1.491205982$ |
$1$ |
|
$27$ |
$688128$ |
$2.035866$ |
$15005053520986088169/594086392900$ |
$0.98189$ |
$4.64739$ |
$[0, 0, 0, -822163, 286926162]$ |
\(y^2=x^3-822163x+286926162\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 52.12.0-2.a.1.1, $\ldots$ |
$[(647, 5082), (537, 528)]$ |
80080.t3 |
80080bd3 |
80080.t |
80080bd |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{13} \cdot 5 \cdot 7^{2} \cdot 11^{8} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1.491205982$ |
$1$ |
|
$15$ |
$1376256$ |
$2.382439$ |
$-12959477208091719369/2999928960118090$ |
$0.96004$ |
$4.66421$ |
$[0, 0, 0, -782963, 315518642]$ |
\(y^2=x^3-782963x+315518642\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ |
$[(817, 14872), (479, 7098)]$ |
80080.t4 |
80080bd1 |
80080.t |
80080bd |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 7^{8} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1.491205982$ |
$1$ |
|
$17$ |
$344064$ |
$1.689293$ |
$4214552938238889/725442557840$ |
$0.91493$ |
$3.92312$ |
$[0, 0, 0, -53843, 4030738]$ |
\(y^2=x^3-53843x+4030738\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ |
$[(-39, 2464), (313, 4224)]$ |
80080.u1 |
80080d4 |
80080.u |
80080d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 5^{2} \cdot 7^{3} \cdot 11^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$8008$ |
$48$ |
$0$ |
$0.648954932$ |
$1$ |
|
$7$ |
$589824$ |
$1.952141$ |
$2795197557762143298/3585735728575$ |
$0.94484$ |
$4.43716$ |
$[0, 0, 0, -372683, -87473318]$ |
\(y^2=x^3-372683x-87473318\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$ |
$[(-351, 308)]$ |
80080.u2 |
80080d2 |
80080.u |
80080d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 5^{4} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$8008$ |
$48$ |
$0$ |
$1.297909865$ |
$1$ |
|
$11$ |
$294912$ |
$1.605568$ |
$2824536112738596/1503627750625$ |
$1.07456$ |
$3.76489$ |
$[0, 0, 0, -29683, -557118]$ |
\(y^2=x^3-29683x-557118\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.3, 572.12.0.?, $\ldots$ |
$[(-71, 1092)]$ |
80080.u3 |
80080d1 |
80080.u |
80080d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 5^{8} \cdot 7^{3} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$8008$ |
$48$ |
$0$ |
$2.595819730$ |
$1$ |
|
$3$ |
$147456$ |
$1.258993$ |
$2191698029154384/19159765625$ |
$1.02150$ |
$3.61965$ |
$[0, 0, 0, -17183, 860382]$ |
\(y^2=x^3-17183x+860382\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.y.1.9, $\ldots$ |
$[(117, 672)]$ |
80080.u4 |
80080d3 |
80080.u |
80080d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{12} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$8008$ |
$48$ |
$0$ |
$2.595819730$ |
$1$ |
|
$3$ |
$589824$ |
$1.952141$ |
$78574018497804702/49482601743575$ |
$0.95773$ |
$4.12083$ |
$[0, 0, 0, 113317, -4360918]$ |
\(y^2=x^3+113317x-4360918\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.y.1.14, 572.12.0.?, $\ldots$ |
$[(479, 12642)]$ |
80080.v1 |
80080bc4 |
80080.v |
80080bc |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$8008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.569077$ |
$1332779492447649/146356560350$ |
$0.93469$ |
$3.82115$ |
$[0, 0, 0, -36683, -2434182]$ |
\(y^2=x^3-36683x-2434182\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$ |
$[ ]$ |
80080.v2 |
80080bc2 |
80080.v |
80080bc |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$8008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$172032$ |
$1.222504$ |
$17675559395649/2505002500$ |
$0.90403$ |
$3.43829$ |
$[0, 0, 0, -8683, 270618]$ |
\(y^2=x^3-8683x+270618\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.3, 572.12.0.?, $\ldots$ |
$[ ]$ |