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 |
39675.a1 |
39675r1 |
39675.a |
39675r |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{7} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.301205182$ |
$1$ |
|
$18$ |
$36864$ |
$0.680258$ |
$462843904/45$ |
$[0, -1, 1, -3258, 72668]$ |
\(y^2+y=x^3-x^2-3258x+72668\) |
10.2.0.a.1 |
$[(32, 12), (57, 262)]$ |
39675.b1 |
39675y1 |
39675.b |
39675y |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{3} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.199936209$ |
$1$ |
|
$10$ |
$19200$ |
$0.248889$ |
$646172672/9$ |
$[0, -1, 1, -728, 7808]$ |
\(y^2+y=x^3-x^2-728x+7808\) |
10.2.0.a.1 |
$[(17, 7)]$ |
39675.c1 |
39675x1 |
39675.c |
39675x |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{3} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$3.295278696$ |
$1$ |
|
$2$ |
$441600$ |
$1.816637$ |
$646172672/9$ |
$[0, -1, 1, -385288, -91921122]$ |
\(y^2+y=x^3-x^2-385288x-91921122\) |
10.2.0.a.1 |
$[(-359, 10)]$ |
39675.d1 |
39675q1 |
39675.d |
39675q |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{7} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$847872$ |
$2.248005$ |
$462843904/45$ |
$[0, -1, 1, -1723658, -870365782]$ |
\(y^2+y=x^3-x^2-1723658x-870365782\) |
10.2.0.a.1 |
$[]$ |
39675.e1 |
39675bi2 |
39675.e |
39675bi |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3 \cdot 5^{10} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$690$ |
$48$ |
$1$ |
$3.381087463$ |
$1$ |
|
$0$ |
$356400$ |
$1.779367$ |
$-102400/3$ |
$[0, 1, 1, -110208, 14397494]$ |
\(y^2+y=x^3+x^2-110208x+14397494\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 115.24.0.?, 690.48.1.? |
$[(773/2, 4757/2)]$ |
39675.e2 |
39675bi1 |
39675.e |
39675bi |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$690$ |
$48$ |
$1$ |
$0.676217492$ |
$1$ |
|
$6$ |
$71280$ |
$0.974648$ |
$20480/243$ |
$[0, 1, 1, 882, -44206]$ |
\(y^2+y=x^3+x^2+882x-44206\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 115.24.0.?, 690.48.1.? |
$[(84, 793)]$ |
39675.f1 |
39675bh1 |
39675.f |
39675bh |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{7} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$0.423086686$ |
$1$ |
|
$6$ |
$1216512$ |
$2.341625$ |
$2887553024/4927635$ |
$[0, 1, 1, 392342, 132179344]$ |
\(y^2+y=x^3+x^2+392342x+132179344\) |
230.2.0.? |
$[(5903, 456262)]$ |
39675.g1 |
39675v1 |
39675.g |
39675v |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$2.379045463$ |
$1$ |
|
$4$ |
$7603200$ |
$3.354782$ |
$15721420060947505/79827687$ |
$[1, 1, 1, -201820388, -1103638534594]$ |
\(y^2+xy+y=x^3+x^2-201820388x-1103638534594\) |
92.2.0.? |
$[(-8190, 5107)]$ |
39675.h1 |
39675j2 |
39675.h |
39675j |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3 \cdot 5^{6} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$304128$ |
$1.845072$ |
$413493625/1587$ |
$[1, 1, 1, -205263, 35589906]$ |
\(y^2+xy+y=x^3+x^2-205263x+35589906\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
39675.h2 |
39675j1 |
39675.h |
39675j |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$152064$ |
$1.498499$ |
$-15625/207$ |
$[1, 1, 1, -6888, 1072656]$ |
\(y^2+xy+y=x^3+x^2-6888x+1072656\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
39675.i1 |
39675t2 |
39675.i |
39675t |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{6} \cdot 5^{9} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$3.501187756$ |
$1$ |
|
$2$ |
$1267200$ |
$2.629288$ |
$201333092381/16767$ |
$[1, 1, 1, -8074138, 8826644156]$ |
\(y^2+xy+y=x^3+x^2-8074138x+8826644156\) |
2.3.0.a.1, 60.6.0.c.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(9236, 845220)]$ |
39675.i2 |
39675t1 |
39675.i |
39675t |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{9} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$7.002375512$ |
$1$ |
|
$1$ |
$633600$ |
$2.282715$ |
$-39651821/14283$ |
$[1, 1, 1, -469763, 157656656]$ |
\(y^2+xy+y=x^3+x^2-469763x+157656656\) |
2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[(112946/7, 36111601/7)]$ |
39675.j1 |
39675u1 |
39675.j |
39675u |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.757399447$ |
$1$ |
|
$6$ |
$456192$ |
$2.063774$ |
$78605490625/985527$ |
$[1, 1, 1, -403638, -97797444]$ |
\(y^2+xy+y=x^3+x^2-403638x-97797444\) |
92.2.0.? |
$[(1140, 29847)]$ |
39675.k1 |
39675k4 |
39675.k |
39675k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{5} \cdot 5^{18} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15206400$ |
$3.658741$ |
$3026030815665395929/1364501953125$ |
$[1, 1, 1, -398515813, -3061052269594]$ |
\(y^2+xy+y=x^3+x^2-398515813x-3061052269594\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
39675.k2 |
39675k3 |
39675.k |
39675k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{20} \cdot 5^{9} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15206400$ |
$3.658741$ |
$502552788401502649/10024505152875$ |
$[1, 1, 1, -219052563, 1226087516406]$ |
\(y^2+xy+y=x^3+x^2-219052563x+1226087516406\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.5, 92.12.0.?, $\ldots$ |
$[]$ |
39675.k3 |
39675k2 |
39675.k |
39675k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{10} \cdot 5^{12} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7603200$ |
$3.312168$ |
$1159246431432649/488076890625$ |
$[1, 1, 1, -28943188, -31295889844]$ |
\(y^2+xy+y=x^3+x^2-28943188x-31295889844\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 20.12.0-2.a.1.1, 60.24.0-60.b.1.8, 92.12.0.?, $\ldots$ |
$[]$ |
39675.k4 |
39675k1 |
39675.k |
39675k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{5} \cdot 5^{9} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3801600$ |
$2.965591$ |
$10519294081031/8500170375$ |
$[1, 1, 1, 6036937, -3591630844]$ |
\(y^2+xy+y=x^3+x^2+6036937x-3591630844\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 30.6.0.a.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
39675.l1 |
39675bg2 |
39675.l |
39675bg |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$552$ |
$48$ |
$1$ |
$1.389834253$ |
$1$ |
|
$4$ |
$61440$ |
$1.082203$ |
$12214672127/9$ |
$[1, 0, 0, -27588, 1761417]$ |
\(y^2+xy=x^3-27588x+1761417\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 24.24.0.dn.1, 92.12.0.?, $\ldots$ |
$[(96, -45)]$ |
39675.l2 |
39675bg1 |
39675.l |
39675bg |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$552$ |
$48$ |
$1$ |
$0.694917126$ |
$1$ |
|
$7$ |
$30720$ |
$0.735629$ |
$-2924207/81$ |
$[1, 0, 0, -1713, 27792]$ |
\(y^2+xy=x^3-1713x+27792\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dt.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[(27, 24)]$ |
39675.m1 |
39675bq1 |
39675.m |
39675bq |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.143181951$ |
$1$ |
|
$24$ |
$24192$ |
$0.576681$ |
$2595575/729$ |
$[1, 0, 0, -563, 3642]$ |
\(y^2+xy=x^3-563x+3642\) |
92.2.0.? |
$[(67, 484), (-2, 70)]$ |
39675.n1 |
39675bo1 |
39675.n |
39675bo |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3 \cdot 5^{9} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$211200$ |
$1.822266$ |
$148877/69$ |
$[1, 0, 0, -73013, -3394608]$ |
\(y^2+xy=x^3-73013x-3394608\) |
2.3.0.a.1, 20.6.0.b.1, 276.6.0.?, 690.6.0.?, 1380.12.0.? |
$[]$ |
39675.n2 |
39675bo2 |
39675.n |
39675bo |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$2.168839$ |
$6539203/4761$ |
$[1, 0, 0, 257612, -25546483]$ |
\(y^2+xy=x^3+257612x-25546483\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[]$ |
39675.o1 |
39675bp1 |
39675.o |
39675bp |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$556416$ |
$2.144428$ |
$2595575/729$ |
$[1, 0, 0, -297838, -44907883]$ |
\(y^2+xy=x^3-297838x-44907883\) |
92.2.0.? |
$[]$ |
39675.p1 |
39675bf2 |
39675.p |
39675bf |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$552$ |
$48$ |
$1$ |
$35.38912344$ |
$1$ |
|
$0$ |
$1413120$ |
$2.649948$ |
$12214672127/9$ |
$[1, 0, 0, -14594063, -21460348758]$ |
\(y^2+xy=x^3-14594063x-21460348758\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 24.24.0.dn.1, 92.12.0.?, $\ldots$ |
$[(4048488265813966/49045, 257496201887652957506176/49045)]$ |
39675.p2 |
39675bf1 |
39675.p |
39675bf |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{6} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$552$ |
$48$ |
$1$ |
$17.69456172$ |
$1$ |
|
$1$ |
$706560$ |
$2.303375$ |
$-2924207/81$ |
$[1, 0, 0, -906188, -339957633]$ |
\(y^2+xy=x^3-906188x-339957633\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dt.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[(367429633/577, 299888870692/577)]$ |
39675.q1 |
39675br1 |
39675.q |
39675br |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{16} \cdot 5^{8} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5068800$ |
$3.065517$ |
$2534167381585/990074583$ |
$[1, 0, 0, -10983638, -7986996483]$ |
\(y^2+xy=x^3-10983638x-7986996483\) |
92.2.0.? |
$[]$ |
39675.r1 |
39675e1 |
39675.r |
39675e |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11088$ |
$0.121131$ |
$3768320/2187$ |
$[0, -1, 1, 77, -12]$ |
\(y^2+y=x^3-x^2+77x-12\) |
6.2.0.a.1 |
$[]$ |
39675.s1 |
39675d1 |
39675.s |
39675d |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{7} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$1.636387$ |
$-262144/1035$ |
$[0, -1, 1, -17633, -2514832]$ |
\(y^2+y=x^3-x^2-17633x-2514832\) |
230.2.0.? |
$[]$ |
39675.t1 |
39675a2 |
39675.t |
39675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 23^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8553600$ |
$3.494259$ |
$-43894892953600/3996969003$ |
$[0, -1, 1, -83097083, 313687396568]$ |
\(y^2+y=x^3-x^2-83097083x+313687396568\) |
3.4.0.a.1, 6.8.0.b.1, 345.8.0.?, 690.16.0.? |
$[]$ |
39675.t2 |
39675a1 |
39675.t |
39675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2851200$ |
$2.944950$ |
$17983078400/10412307$ |
$[0, -1, 1, 6171667, -136894057]$ |
\(y^2+y=x^3-x^2+6171667x-136894057\) |
3.4.0.a.1, 6.8.0.b.1, 345.8.0.?, 690.16.0.? |
$[]$ |
39675.u1 |
39675c1 |
39675.u |
39675c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$255024$ |
$1.688879$ |
$3768320/2187$ |
$[0, -1, 1, 40557, -181942]$ |
\(y^2+y=x^3-x^2+40557x-181942\) |
6.2.0.a.1 |
$[]$ |
39675.v1 |
39675b1 |
39675.v |
39675b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3 \cdot 5^{2} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$88704$ |
$1.438023$ |
$-6439567360/1587$ |
$[0, -1, 1, -59953, 5671443]$ |
\(y^2+y=x^3-x^2-59953x+5671443\) |
6.2.0.a.1 |
$[]$ |
39675.w1 |
39675bm1 |
39675.w |
39675bm |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1275120$ |
$2.493599$ |
$3768320/2187$ |
$[0, 1, 1, 1013917, -20714881]$ |
\(y^2+y=x^3+x^2+1013917x-20714881\) |
6.2.0.a.1 |
$[]$ |
39675.x1 |
39675bl1 |
39675.x |
39675bl |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3 \cdot 5^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$443520$ |
$2.242741$ |
$-6439567360/1587$ |
$[0, 1, 1, -1498833, 705932744]$ |
\(y^2+y=x^3+x^2-1498833x+705932744\) |
6.2.0.a.1 |
$[]$ |
39675.y1 |
39675bb1 |
39675.y |
39675bb |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.215423432$ |
$1$ |
|
$6$ |
$18432$ |
$0.518779$ |
$753664/405$ |
$[0, 1, 1, -383, 644]$ |
\(y^2+y=x^3+x^2-383x+644\) |
10.2.0.a.1 |
$[(-2, 37)]$ |
39675.z1 |
39675z1 |
39675.z |
39675z |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{11} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$2.938900802$ |
$1$ |
|
$2$ |
$1013760$ |
$2.624352$ |
$-43258336804864/646875$ |
$[0, 1, 1, -9671883, 11574422894]$ |
\(y^2+y=x^3+x^2-9671883x+11574422894\) |
230.2.0.? |
$[(4638, 257887)]$ |
39675.ba1 |
39675bj2 |
39675.ba |
39675bj |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{4} \cdot 23^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1710720$ |
$2.689537$ |
$-43894892953600/3996969003$ |
$[0, 1, 1, -3323883, 2508169619]$ |
\(y^2+y=x^3+x^2-3323883x+2508169619\) |
3.4.0.a.1, 6.8.0.b.1, 69.8.0-3.a.1.1, 138.16.0.? |
$[]$ |
39675.ba2 |
39675bj1 |
39675.ba |
39675bj |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$570240$ |
$2.140232$ |
$17983078400/10412307$ |
$[0, 1, 1, 246867, -996406]$ |
\(y^2+y=x^3+x^2+246867x-996406\) |
3.4.0.a.1, 6.8.0.b.1, 69.8.0-3.a.1.2, 138.16.0.? |
$[]$ |
39675.bb1 |
39675ba1 |
39675.bb |
39675ba |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.005373480$ |
$1$ |
|
$0$ |
$423936$ |
$2.086525$ |
$753664/405$ |
$[0, 1, 1, -202783, -9460406]$ |
\(y^2+y=x^3+x^2-202783x-9460406\) |
10.2.0.a.1 |
$[(-883/2, 39671/2)]$ |
39675.bc1 |
39675bk1 |
39675.bc |
39675bk |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55440$ |
$0.925850$ |
$3768320/2187$ |
$[0, 1, 1, 1917, 2369]$ |
\(y^2+y=x^3+x^2+1917x+2369\) |
6.2.0.a.1 |
$[]$ |
39675.bd1 |
39675i1 |
39675.bd |
39675i |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{16} \cdot 5^{2} \cdot 23^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$5.034221219$ |
$1$ |
|
$6$ |
$1013760$ |
$2.260796$ |
$2534167381585/990074583$ |
$[1, 1, 0, -439345, -64071710]$ |
\(y^2+xy=x^3+x^2-439345x-64071710\) |
92.2.0.? |
$[(-314, 6718), (-37961/10, 7131343/10)]$ |
39675.be1 |
39675g1 |
39675.be |
39675g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2782080$ |
$2.949146$ |
$2595575/729$ |
$[1, 1, 0, -7445950, -5613485375]$ |
\(y^2+xy=x^3+x^2-7445950x-5613485375\) |
92.2.0.? |
$[]$ |
39675.bf1 |
39675s1 |
39675.bf |
39675s |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3 \cdot 5^{3} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$8.418031734$ |
$1$ |
|
$1$ |
$42240$ |
$1.017548$ |
$148877/69$ |
$[1, 1, 0, -2920, -28325]$ |
\(y^2+xy=x^3+x^2-2920x-28325\) |
2.3.0.a.1, 20.6.0.b.1, 276.6.0.?, 690.6.0.?, 1380.12.0.? |
$[(-2085/14, 126895/14)]$ |
39675.bf2 |
39675s2 |
39675.bf |
39675s |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$4.209015867$ |
$1$ |
|
$2$ |
$84480$ |
$1.364120$ |
$6539203/4761$ |
$[1, 1, 0, 10305, -200250]$ |
\(y^2+xy=x^3+x^2+10305x-200250\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[(16550, 2120950)]$ |
39675.bg1 |
39675f1 |
39675.bg |
39675f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.381399$ |
$2595575/729$ |
$[1, 1, 0, -14075, 455250]$ |
\(y^2+xy=x^3+x^2-14075x+455250\) |
92.2.0.? |
$[]$ |
39675.bh1 |
39675h4 |
39675.bh |
39675h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3 \cdot 5^{8} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2027520$ |
$2.650787$ |
$7679186557489/20988075$ |
$[1, 1, 0, -5435750, 4864153125]$ |
\(y^2+xy=x^3+x^2-5435750x+4864153125\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
39675.bh2 |
39675h3 |
39675.bh |
39675h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3 \cdot 5^{14} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2027520$ |
$2.650787$ |
$6117442271569/26953125$ |
$[1, 1, 0, -5039000, -4339256625]$ |
\(y^2+xy=x^3+x^2-5039000x-4339256625\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
39675.bh3 |
39675h2 |
39675.bh |
39675h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$1013760$ |
$2.304214$ |
$5168743489/2975625$ |
$[1, 1, 0, -476375, 8925000]$ |
\(y^2+xy=x^3+x^2-476375x+8925000\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 60.24.0-12.a.1.3, 92.12.0.?, $\ldots$ |
$[]$ |
39675.bh4 |
39675h1 |
39675.bh |
39675h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{8} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$506880$ |
$1.957642$ |
$80062991/46575$ |
$[1, 1, 0, 118750, 1188375]$ |
\(y^2+xy=x^3+x^2+118750x+1188375\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 46.6.0.a.1, $\ldots$ |
$[]$ |
39675.bi1 |
39675be1 |
39675.bi |
39675be |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$9.586163162$ |
$1$ |
|
$0$ |
$2280960$ |
$2.868492$ |
$78605490625/985527$ |
$[1, 0, 1, -10090951, -12204498577]$ |
\(y^2+xy+y=x^3-10090951x-12204498577\) |
92.2.0.? |
$[(-49349/5, 736159/5)]$ |