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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
133952.a1 |
133952bp1 |
133952.a |
133952bp |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.312330750$ |
$1$ |
|
$4$ |
$595200$ |
$1.226837$ |
$-396870925750272/221358574619$ |
$[0, 0, 0, -6124, -258494]$ |
\(y^2=x^3-6124x-258494\) |
598.2.0.? |
$[(179, 2093)]$ |
133952.b1 |
133952a1 |
133952.b |
133952a |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{6} \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$683520$ |
$1.455208$ |
$-71316420829825536/1004691753611$ |
$[0, 0, 0, -34558, -2502614]$ |
\(y^2=x^3-34558x-2502614\) |
598.2.0.? |
$[]$ |
133952.c1 |
133952bq1 |
133952.c |
133952bq |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.860427171$ |
$1$ |
|
$2$ |
$73216$ |
$0.421825$ |
$-11083600590336/14651$ |
$[0, 0, 0, -1858, 30826]$ |
\(y^2=x^3-1858x+30826\) |
598.2.0.? |
$[(25, 1)]$ |
133952.d1 |
133952b1 |
133952.d |
133952b |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$0.724787$ |
$4116151296/2476019$ |
$[0, 0, 0, 848, 1888]$ |
\(y^2=x^3+848x+1888\) |
598.2.0.? |
$[]$ |
133952.e1 |
133952br2 |
133952.e |
133952br |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{24} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$8.651479220$ |
$1$ |
|
$9$ |
$1916928$ |
$1.911421$ |
$53008645999484449/2060047808$ |
$[0, 1, 0, -500865, -136598561]$ |
\(y^2=x^3+x^2-500865x-136598561\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(2635, 129792), (843, 6400)]$ |
133952.e2 |
133952br1 |
133952.e |
133952br |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{30} \cdot 7 \cdot 13^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$8.651479220$ |
$1$ |
|
$11$ |
$958464$ |
$1.564846$ |
$-11192824869409/2563305472$ |
$[0, 1, 0, -29825, -2352161]$ |
\(y^2=x^3+x^2-29825x-2352161\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(249, 2392), (301, 4004)]$ |
133952.f1 |
133952c1 |
133952.f |
133952c |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7 \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$2.203490938$ |
$1$ |
|
$2$ |
$50688$ |
$0.138733$ |
$4194304/2093$ |
$[0, 1, 0, -85, -141]$ |
\(y^2=x^3+x^2-85x-141\) |
4186.2.0.? |
$[(-2, 5)]$ |
133952.g1 |
133952f1 |
133952.g |
133952f |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24064$ |
$0.060207$ |
$46345650688/2093$ |
$[0, 1, 0, -299, -2093]$ |
\(y^2=x^3+x^2-299x-2093\) |
4186.2.0.? |
$[]$ |
133952.h1 |
133952g1 |
133952.h |
133952g |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{7} \cdot 13^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1.853035628$ |
$1$ |
|
$2$ |
$677376$ |
$1.642216$ |
$23207460993913420288/41614451333$ |
$[0, 1, 0, -237699, 44526367]$ |
\(y^2=x^3+x^2-237699x+44526367\) |
4186.2.0.? |
$[(278, 91)]$ |
133952.i1 |
133952d2 |
133952.i |
133952d |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8372$ |
$12$ |
$0$ |
$1.563361444$ |
$1$ |
|
$19$ |
$79872$ |
$0.511981$ |
$340062928/190463$ |
$[0, 1, 0, -369, 367]$ |
\(y^2=x^3+x^2-369x+367\) |
2.3.0.a.1, 92.6.0.?, 364.6.0.?, 8372.12.0.? |
$[(-13, 56), (19, 24)]$ |
133952.i2 |
133952d1 |
133952.i |
133952d |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{10} \cdot 7 \cdot 13 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8372$ |
$12$ |
$0$ |
$6.253445778$ |
$1$ |
|
$7$ |
$39936$ |
$0.165408$ |
$80494592/48139$ |
$[0, 1, 0, 91, 91]$ |
\(y^2=x^3+x^2+91x+91\) |
2.3.0.a.1, 92.6.0.?, 182.6.0.?, 8372.12.0.? |
$[(3, 20), (206, 2967)]$ |
133952.j1 |
133952bs1 |
133952.j |
133952bs |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{5} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$0.726149228$ |
$1$ |
|
$2$ |
$60800$ |
$0.462583$ |
$670381355008/5025293$ |
$[0, 1, 0, -729, -7775]$ |
\(y^2=x^3+x^2-729x-7775\) |
4186.2.0.? |
$[(-16, 7)]$ |
133952.k1 |
133952e1 |
133952.k |
133952e |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7 \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$209920$ |
$1.042337$ |
$704988556288/59778173$ |
$[0, 1, 0, -4709, 113347]$ |
\(y^2=x^3+x^2-4709x+113347\) |
4186.2.0.? |
$[]$ |
133952.l1 |
133952h2 |
133952.l |
133952h |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{3} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$0.691975722$ |
$1$ |
|
$2$ |
$93312$ |
$0.701479$ |
$18736316416000/54252653$ |
$[0, 1, 0, -2213, 39241]$ |
\(y^2=x^3+x^2-2213x+39241\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 4186.2.0.?, 12558.8.0.?, 50232.16.0.? |
$[(24, 23)]$ |
133952.l2 |
133952h1 |
133952.l |
133952h |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7 \cdot 13^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$2.075927166$ |
$1$ |
|
$2$ |
$31104$ |
$0.152173$ |
$4096000000/353717$ |
$[0, 1, 0, -133, -591]$ |
\(y^2=x^3+x^2-133x-591\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 4186.2.0.?, 12558.8.0.?, 50232.16.0.? |
$[(-8, 5)]$ |
133952.m1 |
133952i2 |
133952.m |
133952i |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{3} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1368576$ |
$2.170074$ |
$147499655667712000/83658895553597$ |
$[0, 1, 0, -279573, -8122061]$ |
\(y^2=x^3+x^2-279573x-8122061\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 4186.2.0.?, 12558.8.0.?, 50232.16.0.? |
$[]$ |
133952.m2 |
133952i1 |
133952.m |
133952i |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7 \cdot 13^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50232$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$456192$ |
$1.620770$ |
$58984345526272000/187116293$ |
$[0, 1, 0, -205973, -36048845]$ |
\(y^2=x^3+x^2-205973x-36048845\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 4186.2.0.?, 12558.8.0.?, 50232.16.0.? |
$[]$ |
133952.n1 |
133952bu1 |
133952.n |
133952bu |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7 \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1.898737236$ |
$1$ |
|
$2$ |
$1305600$ |
$2.067001$ |
$13770918300093568000/31622653517$ |
$[0, 1, 0, -1268293, -550187421]$ |
\(y^2=x^3+x^2-1268293x-550187421\) |
4186.2.0.? |
$[(-650, 23)]$ |
133952.o1 |
133952bt2 |
133952.o |
133952bt |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{18} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.236640837$ |
$1$ |
|
$7$ |
$245760$ |
$1.184872$ |
$104154702625/32188247$ |
$[0, 1, 0, -6273, -132641]$ |
\(y^2=x^3+x^2-6273x-132641\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(-37, 224)]$ |
133952.o2 |
133952bt1 |
133952.o |
133952bt |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{18} \cdot 7 \cdot 13^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.473281674$ |
$1$ |
|
$5$ |
$122880$ |
$0.838299$ |
$541343375/625807$ |
$[0, 1, 0, 1087, -13409]$ |
\(y^2=x^3+x^2+1087x-13409\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(34, 253)]$ |
133952.p1 |
133952bx1 |
133952.p |
133952bx |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{3} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$-0.001686$ |
$183250432/102557$ |
$[0, 1, 0, -47, 7]$ |
\(y^2=x^3+x^2-47x+7\) |
4186.2.0.? |
$[]$ |
133952.q1 |
133952bv1 |
133952.q |
133952bv |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7 \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70656$ |
$0.660014$ |
$2097544192/1107197$ |
$[0, 1, 0, -677, -2237]$ |
\(y^2=x^3+x^2-677x-2237\) |
4186.2.0.? |
$[]$ |
133952.r1 |
133952bw1 |
133952.r |
133952bw |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{9} \cdot 13^{3} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$8.078321363$ |
$1$ |
|
$0$ |
$38016000$ |
$3.646675$ |
$5642017163771722268092767232/570626054098424597$ |
$[0, 1, 0, -941984037, -11128218516413]$ |
\(y^2=x^3+x^2-941984037x-11128218516413\) |
4186.2.0.? |
$[(-6395866/19, 4578707/19)]$ |
133952.s1 |
133952by1 |
133952.s |
133952by |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{11} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$12.00497331$ |
$1$ |
|
$0$ |
$595584$ |
$1.336941$ |
$5054443262672896/591220696157$ |
$[0, 1, 0, -14301, 583237]$ |
\(y^2=x^3+x^2-14301x+583237\) |
4186.2.0.? |
$[(79532/43, 17695055/43)]$ |
133952.t1 |
133952bz3 |
133952.t |
133952bz |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{4} \cdot 13 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$150696$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$10077696$ |
$2.964893$ |
$-360675992659311050823073792/56219378022244619$ |
$[0, -1, 0, -59318637, -175827209849]$ |
\(y^2=x^3-x^2-59318637x-175827209849\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.1, 63.36.0.e.2, 72.24.0.?, $\ldots$ |
$[]$ |
133952.t2 |
133952bz2 |
133952.t |
133952bz |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{12} \cdot 13^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$150696$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$3359232$ |
$2.415588$ |
$-449167881463536812032/369990050199923699$ |
$[0, -1, 0, -638197, -305274169]$ |
\(y^2=x^3-x^2-638197x-305274169\) |
3.12.0.a.1, 24.24.0-3.a.1.1, 63.36.0.b.1, 504.72.0.?, 598.2.0.?, $\ldots$ |
$[]$ |
133952.t3 |
133952bz1 |
133952.t |
133952bz |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$150696$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1119744$ |
$1.866282$ |
$471114356703100928/585612268875179$ |
$[0, -1, 0, 64843, 6787711]$ |
\(y^2=x^3-x^2+64843x+6787711\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 63.36.0.e.1, 72.24.0.?, $\ldots$ |
$[]$ |
133952.u1 |
133952ca1 |
133952.u |
133952ca |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44544$ |
$0.354527$ |
$6148602368/7750379$ |
$[0, -1, 0, 153, -839]$ |
\(y^2=x^3-x^2+153x-839\) |
598.2.0.? |
$[]$ |
133952.v1 |
133952cb1 |
133952.v |
133952cb |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$0.836239405$ |
$1$ |
|
$2$ |
$110592$ |
$0.818151$ |
$-2932006912/7750379$ |
$[0, -1, 0, -757, 19181]$ |
\(y^2=x^3-x^2-757x+19181\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[(-20, 161)]$ |
133952.v2 |
133952cb2 |
133952.v |
133952cb |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{6} \cdot 13^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$2.508718216$ |
$1$ |
|
$2$ |
$331776$ |
$1.367458$ |
$1942951190528/5944921619$ |
$[0, -1, 0, 6603, -429779]$ |
\(y^2=x^3-x^2+6603x-429779\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[(172, 2401)]$ |
133952.w1 |
133952k1 |
133952.w |
133952k |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{4} \cdot 13^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.038954$ |
$-268435456/121324931$ |
$[0, -1, 0, -341, -67763]$ |
\(y^2=x^3-x^2-341x-67763\) |
598.2.0.? |
$[]$ |
133952.x1 |
133952l1 |
133952.x |
133952l |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.802377351$ |
$1$ |
|
$2$ |
$15360$ |
$-0.175131$ |
$-4096/14651$ |
$[0, -1, 0, -1, 47]$ |
\(y^2=x^3-x^2-x+47\) |
598.2.0.? |
$[(2, 7)]$ |
133952.y1 |
133952m1 |
133952.y |
133952m |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{4} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.228266$ |
$-11037916496896/379768571$ |
$[0, -1, 0, -11781, -502691]$ |
\(y^2=x^3-x^2-11781x-502691\) |
598.2.0.? |
$[]$ |
133952.z1 |
133952j1 |
133952.z |
133952j |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$2.157241009$ |
$1$ |
|
$2$ |
$16128$ |
$-0.156789$ |
$-16777216/14651$ |
$[0, -1, 0, -21, -53]$ |
\(y^2=x^3-x^2-21x-53\) |
598.2.0.? |
$[(6, 1)]$ |
133952.ba1 |
133952o1 |
133952.ba |
133952o |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{4} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90112$ |
$0.735864$ |
$-48174982144/717899$ |
$[0, -1, 0, -1925, -32291]$ |
\(y^2=x^3-x^2-1925x-32291\) |
598.2.0.? |
$[]$ |
133952.bb1 |
133952n1 |
133952.bb |
133952n |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13^{7} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$13.98801750$ |
$1$ |
|
$0$ |
$1344000$ |
$2.161503$ |
$24968163386694104576/19789677929513219$ |
$[0, -1, 0, 243565, -28209227]$ |
\(y^2=x^3-x^2+243565x-28209227\) |
598.2.0.? |
$[(1051172/23, 1108328717/23)]$ |
133952.bc1 |
133952ce1 |
133952.bc |
133952ce |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38912$ |
$0.291452$ |
$5030912/14651$ |
$[0, -1, 0, 91, 637]$ |
\(y^2=x^3-x^2+91x+637\) |
598.2.0.? |
$[]$ |
133952.bd1 |
133952p1 |
133952.bd |
133952p |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$5.364849493$ |
$1$ |
|
$0$ |
$21760$ |
$0.039582$ |
$-8390176768/14651$ |
$[0, -1, 0, -169, -793]$ |
\(y^2=x^3-x^2-169x-793\) |
598.2.0.? |
$[(386/5, 791/5)]$ |
133952.be1 |
133952cf1 |
133952.be |
133952cf |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225280$ |
$1.162493$ |
$-570820369408/418447211$ |
$[0, -1, 0, -4389, 169981]$ |
\(y^2=x^3-x^2-4389x+169981\) |
598.2.0.? |
$[]$ |
133952.bf1 |
133952cc2 |
133952.bf |
133952cc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$580608$ |
$1.487122$ |
$-1601666731737088/1309814051$ |
$[0, -1, 0, -61909, -5912563]$ |
\(y^2=x^3-x^2-61909x-5912563\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
133952.bf2 |
133952cc1 |
133952.bf |
133952cc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{6} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$0.937816$ |
$3596091392/35177051$ |
$[0, -1, 0, 811, -35699]$ |
\(y^2=x^3-x^2+811x-35699\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
133952.bg1 |
133952cd1 |
133952.bg |
133952cd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.456121$ |
$-9221261135586623488/121324931$ |
$[0, -1, 0, -174749, 28175407]$ |
\(y^2=x^3-x^2-174749x+28175407\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
133952.bg2 |
133952cd2 |
133952.bg |
133952cd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{12} \cdot 13 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7176$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$2.005428$ |
$-7743965038771437568/2189290237869371$ |
$[0, -1, 0, -164869, 31491551]$ |
\(y^2=x^3-x^2-164869x+31491551\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 7176.16.0.? |
$[]$ |
133952.bh1 |
133952cg2 |
133952.bh |
133952cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{4} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$0.835718$ |
$16241202000/9332687$ |
$[0, 0, 0, -1340, 1584]$ |
\(y^2=x^3-1340x+1584\) |
2.3.0.a.1, 52.6.0.c.1, 92.6.0.?, 1196.12.0.? |
$[]$ |
133952.bh2 |
133952cg1 |
133952.bh |
133952cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{10} \cdot 7^{2} \cdot 13 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.489144$ |
$73598976000/336973$ |
$[0, 0, 0, -880, -10008]$ |
\(y^2=x^3-880x-10008\) |
2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? |
$[]$ |
133952.bi1 |
133952q2 |
133952.bi |
133952q |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{4} \cdot 13^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$1.027650156$ |
$1$ |
|
$7$ |
$92160$ |
$0.835718$ |
$16241202000/9332687$ |
$[0, 0, 0, -1340, -1584]$ |
\(y^2=x^3-1340x-1584\) |
2.3.0.a.1, 52.6.0.c.1, 92.6.0.?, 1196.12.0.? |
$[(62, 392)]$ |
133952.bi2 |
133952q1 |
133952.bi |
133952q |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{10} \cdot 7^{2} \cdot 13 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$2.055300313$ |
$1$ |
|
$5$ |
$46080$ |
$0.489144$ |
$73598976000/336973$ |
$[0, 0, 0, -880, 10008]$ |
\(y^2=x^3-880x+10008\) |
2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? |
$[(22, 36)]$ |
133952.bj1 |
133952ch3 |
133952.bj |
133952ch |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{16} \cdot 7 \cdot 13 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$16744$ |
$48$ |
$0$ |
$23.20566103$ |
$1$ |
|
$1$ |
$262144$ |
$1.385769$ |
$9614292367656708/2093$ |
$[0, 0, 0, -178604, 29052592]$ |
\(y^2=x^3-178604x+29052592\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 184.24.0.?, 728.24.0.?, $\ldots$ |
$[(2221/3, 2035/3), (2296/3, 8180/3)]$ |
133952.bj2 |
133952ch4 |
133952.bj |
133952ch |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{16} \cdot 7^{4} \cdot 13^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$16744$ |
$48$ |
$0$ |
$5.801415258$ |
$1$ |
|
$9$ |
$262144$ |
$1.385769$ |
$3710860803108/1577224103$ |
$[0, 0, 0, -13004, 294128]$ |
\(y^2=x^3-13004x+294128\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[(-26, 784), (109/3, 10045/3)]$ |
133952.bj3 |
133952ch2 |
133952.bj |
133952ch |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{14} \cdot 7^{2} \cdot 13^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$16744$ |
$48$ |
$0$ |
$5.801415258$ |
$1$ |
|
$13$ |
$131072$ |
$1.039194$ |
$9392111857872/4380649$ |
$[0, 0, 0, -11164, 453840]$ |
\(y^2=x^3-11164x+453840\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 92.12.0.?, 184.24.0.?, 364.12.0.?, $\ldots$ |
$[(78, 240), (53, 105)]$ |