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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
3360.a1 |
3360d2 |
3360.a |
3360d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{4} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2.481187068$ |
$1$ |
|
$3$ |
$1024$ |
$0.170268$ |
$11512557512/2835$ |
$[0, -1, 0, -376, -2684]$ |
\(y^2=x^3-x^2-376x-2684\) |
3360.a2 |
3360d3 |
3360.a |
3360d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2.481187068$ |
$1$ |
|
$3$ |
$1024$ |
$0.170268$ |
$1184287112/36015$ |
$[0, -1, 0, -176, 936]$ |
\(y^2=x^3-x^2-176x+936\) |
3360.a3 |
3360d1 |
3360.a |
3360d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1.240593534$ |
$1$ |
|
$9$ |
$512$ |
$-0.176305$ |
$31554496/11025$ |
$[0, -1, 0, -26, -24]$ |
\(y^2=x^3-x^2-26x-24\) |
3360.a4 |
3360d4 |
3360.a |
3360d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3 \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2.481187068$ |
$1$ |
|
$3$ |
$1024$ |
$0.170268$ |
$13144256/13125$ |
$[0, -1, 0, 79, -255]$ |
\(y^2=x^3-x^2+79x-255\) |
3360.b1 |
3360a1 |
3360.b |
3360a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.718736762$ |
$1$ |
|
$5$ |
$384$ |
$-0.332991$ |
$31554496/525$ |
$[0, -1, 0, -26, 60]$ |
\(y^2=x^3-x^2-26x+60\) |
3360.b2 |
3360a2 |
3360.b |
3360a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.359368381$ |
$1$ |
|
$11$ |
$768$ |
$0.013582$ |
$-64/2205$ |
$[0, -1, 0, -1, 145]$ |
\(y^2=x^3-x^2-x+145\) |
3360.c1 |
3360c2 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$13.63474553$ |
$1$ |
|
$1$ |
$15360$ |
$1.510258$ |
$864335783029582144/59535$ |
$[0, -1, 0, -317521, -68760575]$ |
\(y^2=x^3-x^2-317521x-68760575\) |
3360.c2 |
3360c3 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3.408686384$ |
$1$ |
|
$3$ |
$15360$ |
$1.510258$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -22296, -786060]$ |
\(y^2=x^3-x^2-22296x-786060\) |
3360.c3 |
3360c1 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$6.817372769$ |
$1$ |
|
$5$ |
$7680$ |
$1.163683$ |
$13507798771700416/3544416225$ |
$[0, -1, 0, -19846, -1069280]$ |
\(y^2=x^3-x^2-19846x-1069280\) |
3360.c4 |
3360c4 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$13.63474553$ |
$1$ |
|
$1$ |
$15360$ |
$1.510258$ |
$-1141100604753992/875529151875$ |
$[0, -1, 0, -17416, -1343384]$ |
\(y^2=x^3-x^2-17416x-1343384\) |
3360.d1 |
3360b3 |
3360.d |
3360b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{3} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6.829291166$ |
$1$ |
|
$1$ |
$15360$ |
$1.604887$ |
$7347751505995469192/72930375$ |
$[0, -1, 0, -324016, 71098216]$ |
\(y^2=x^3-x^2-324016x+71098216\) |
3360.d2 |
3360b2 |
3360.d |
3360b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6.829291166$ |
$1$ |
|
$1$ |
$15360$ |
$1.604887$ |
$5276930158229192/3050936350875$ |
$[0, -1, 0, -29016, 67716]$ |
\(y^2=x^3-x^2-29016x+67716\) |
3360.d3 |
3360b1 |
3360.d |
3360b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3.414645583$ |
$1$ |
|
$7$ |
$7680$ |
$1.258314$ |
$14383655824793536/45209390625$ |
$[0, -1, 0, -20266, 1114216]$ |
\(y^2=x^3-x^2-20266x+1114216\) |
3360.d4 |
3360b4 |
3360.d |
3360b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{12} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6.829291166$ |
$1$ |
|
$3$ |
$15360$ |
$1.604887$ |
$-43927191786304/415283203125$ |
$[0, -1, 0, -11761, 2048065]$ |
\(y^2=x^3-x^2-11761x+2048065\) |
3360.e1 |
3360n3 |
3360.e |
3360n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$0.855098338$ |
$1$ |
|
$13$ |
$2048$ |
$0.624470$ |
$3047363673992/540225$ |
$[0, -1, 0, -2416, 46516]$ |
\(y^2=x^3-x^2-2416x+46516\) |
3360.e2 |
3360n2 |
3360.e |
3360n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$0.855098338$ |
$1$ |
|
$7$ |
$2048$ |
$0.624470$ |
$30488290624/1148175$ |
$[0, -1, 0, -1041, -12159]$ |
\(y^2=x^3-x^2-1041x-12159\) |
3360.e3 |
3360n1 |
3360.e |
3360n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$1.710196676$ |
$1$ |
|
$9$ |
$1024$ |
$0.277896$ |
$7952095936/2480625$ |
$[0, -1, 0, -166, 616]$ |
\(y^2=x^3-x^2-166x+616\) |
3360.e4 |
3360n4 |
3360.e |
3360n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$3.420393353$ |
$1$ |
|
$3$ |
$2048$ |
$0.624470$ |
$21531355768/24609375$ |
$[0, -1, 0, 464, 3640]$ |
\(y^2=x^3-x^2+464x+3640\) |
3360.f1 |
3360e3 |
3360.f |
3360e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.412561$ |
$60910917333827912/3255076125$ |
$[0, -1, 0, -65576, 6485076]$ |
\(y^2=x^3-x^2-65576x+6485076\) |
3360.f2 |
3360e2 |
3360.f |
3360e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.412561$ |
$257307998572864/19456203375$ |
$[0, -1, 0, -21201, -1100799]$ |
\(y^2=x^3-x^2-21201x-1100799\) |
3360.f3 |
3360e1 |
3360.f |
3360e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$1.065987$ |
$139927692143296/27348890625$ |
$[0, -1, 0, -4326, 90576]$ |
\(y^2=x^3-x^2-4326x+90576\) |
3360.f4 |
3360e4 |
3360.f |
3360e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{12} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$9216$ |
$1.412561$ |
$152461584507448/322998046875$ |
$[0, -1, 0, 8904, 524520]$ |
\(y^2=x^3-x^2+8904x+524520\) |
3360.g1 |
3360f2 |
3360.g |
3360f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$1.175962$ |
$128025588102048008/7875$ |
$[0, -1, 0, -84000, -9342648]$ |
\(y^2=x^3-x^2-84000x-9342648\) |
3360.g2 |
3360f3 |
3360.g |
3360f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{12} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.175962$ |
$43919722445768/15380859375$ |
$[0, -1, 0, -5880, -107100]$ |
\(y^2=x^3-x^2-5880x-107100\) |
3360.g3 |
3360f1 |
3360.g |
3360f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.829390$ |
$250094631024064/62015625$ |
$[0, -1, 0, -5250, -144648]$ |
\(y^2=x^3-x^2-5250x-144648\) |
3360.g4 |
3360f4 |
3360.g |
3360f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.175962$ |
$-2671731885376/1969120125$ |
$[0, -1, 0, -4625, -181023]$ |
\(y^2=x^3-x^2-4625x-181023\) |
3360.h1 |
3360q3 |
3360.h |
3360q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$215040$ |
$2.759987$ |
$229625675762164624948320008/9568125$ |
$[0, -1, 0, -102060000, 396888659352]$ |
\(y^2=x^3-x^2-102060000x+396888659352\) |
3360.h2 |
3360q2 |
3360.h |
3360q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$215040$ |
$2.759987$ |
$7079962908642659949376/100085966990454375$ |
$[0, -1, 0, -6400625, 6158314977]$ |
\(y^2=x^3-x^2-6400625x+6158314977\) |
3360.h3 |
3360q1 |
3360.h |
3360q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$107520$ |
$2.413414$ |
$448487713888272974160064/91549016015625$ |
$[0, -1, 0, -6378750, 6202979352]$ |
\(y^2=x^3-x^2-6378750x+6202979352\) |
3360.h4 |
3360q4 |
3360.h |
3360q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{16} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$215040$ |
$2.759987$ |
$-55486311952875723077768/801237030029296875$ |
$[0, -1, 0, -6356880, 6247602900]$ |
\(y^2=x^3-x^2-6356880x+6247602900\) |
3360.i1 |
3360p2 |
3360.i |
3360p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3 \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$1536$ |
$0.263586$ |
$303735479048/105$ |
$[0, -1, 0, -1120, -14060]$ |
\(y^2=x^3-x^2-1120x-14060\) |
3360.i2 |
3360p3 |
3360.i |
3360p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.263586$ |
$82881856/36015$ |
$[0, -1, 0, -145, 385]$ |
\(y^2=x^3-x^2-145x+385\) |
3360.i3 |
3360p1 |
3360.i |
3360p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$768$ |
$-0.082988$ |
$601211584/11025$ |
$[0, -1, 0, -70, -200]$ |
\(y^2=x^3-x^2-70x-200\) |
3360.i4 |
3360p4 |
3360.i |
3360p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.263586$ |
$-8/354375$ |
$[0, -1, 0, 0, -648]$ |
\(y^2=x^3-x^2-648\) |
3360.j1 |
3360h1 |
3360.j |
3360h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.829498778$ |
$1$ |
|
$5$ |
$1152$ |
$0.306589$ |
$16079333824/2953125$ |
$[0, -1, 0, -210, -900]$ |
\(y^2=x^3-x^2-210x-900\) |
3360.j2 |
3360h2 |
3360.j |
3360h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.414749389$ |
$1$ |
|
$11$ |
$2304$ |
$0.653162$ |
$1925134784/4465125$ |
$[0, -1, 0, 415, -5775]$ |
\(y^2=x^3-x^2+415x-5775\) |
3360.k1 |
3360g3 |
3360.k |
3360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2.285976719$ |
$1$ |
|
$7$ |
$3072$ |
$0.929545$ |
$608119035935048/826875$ |
$[0, -1, 0, -14120, 650532]$ |
\(y^2=x^3-x^2-14120x+650532\) |
3360.k2 |
3360g2 |
3360.k |
3360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2.285976719$ |
$1$ |
|
$3$ |
$3072$ |
$0.929545$ |
$2428799546888/778248135$ |
$[0, -1, 0, -2240, -26520]$ |
\(y^2=x^3-x^2-2240x-26520\) |
3360.k3 |
3360g1 |
3360.k |
3360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1.142988359$ |
$1$ |
|
$9$ |
$1536$ |
$0.582972$ |
$1219555693504/43758225$ |
$[0, -1, 0, -890, 10200]$ |
\(y^2=x^3-x^2-890x+10200\) |
3360.k4 |
3360g4 |
3360.k |
3360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2.285976719$ |
$1$ |
|
$3$ |
$3072$ |
$0.929545$ |
$1012048064/130203045$ |
$[0, -1, 0, 335, 34945]$ |
\(y^2=x^3-x^2+335x+34945\) |
3360.l1 |
3360o2 |
3360.l |
3360o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.347190$ |
$68017239368/39375$ |
$[0, -1, 0, -680, -6600]$ |
\(y^2=x^3-x^2-680x-6600\) |
3360.l2 |
3360o3 |
3360.l |
3360o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.347190$ |
$13858588808/229635$ |
$[0, -1, 0, -400, 3172]$ |
\(y^2=x^3-x^2-400x+3172\) |
3360.l3 |
3360o1 |
3360.l |
3360o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.000616$ |
$220348864/99225$ |
$[0, -1, 0, -50, -48]$ |
\(y^2=x^3-x^2-50x-48\) |
3360.l4 |
3360o4 |
3360.l |
3360o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.347190$ |
$143877824/108045$ |
$[0, -1, 0, 175, -543]$ |
\(y^2=x^3-x^2+175x-543\) |
3360.m1 |
3360r1 |
3360.m |
3360r |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.383189$ |
$4446542056384/25725$ |
$[0, -1, 0, -1370, -19068]$ |
\(y^2=x^3-x^2-1370x-19068\) |
3360.m2 |
3360r2 |
3360.m |
3360r |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.729763$ |
$-65743598656/5294205$ |
$[0, -1, 0, -1345, -19823]$ |
\(y^2=x^3-x^2-1345x-19823\) |
3360.n1 |
3360i2 |
3360.n |
3360i |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.412561$ |
$60910917333827912/3255076125$ |
$[0, 1, 0, -65576, -6485076]$ |
\(y^2=x^3+x^2-65576x-6485076\) |
3360.n2 |
3360i3 |
3360.n |
3360i |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.412561$ |
$257307998572864/19456203375$ |
$[0, 1, 0, -21201, 1100799]$ |
\(y^2=x^3+x^2-21201x+1100799\) |
3360.n3 |
3360i1 |
3360.n |
3360i |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$1.065987$ |
$139927692143296/27348890625$ |
$[0, 1, 0, -4326, -90576]$ |
\(y^2=x^3+x^2-4326x-90576\) |
3360.n4 |
3360i4 |
3360.n |
3360i |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{12} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.412561$ |
$152461584507448/322998046875$ |
$[0, 1, 0, 8904, -524520]$ |
\(y^2=x^3+x^2+8904x-524520\) |