| 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 |
| 75712.a1 |
75712bm1 |
75712.a |
75712bm |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7^{3} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$0.515418868$ |
$1$ |
|
$20$ |
$1161216$ |
$1.764338$ |
$4019679/8918$ |
$1.11550$ |
$3.92664$ |
$[0, 0, 0, 35828, -4394000]$ |
\(y^2=x^3+35828x-4394000\) |
728.2.0.? |
$[(286, 5408), (1118, 37856)]$ |
| 75712.b1 |
75712s1 |
75712.b |
75712s |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{37} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$5.222029851$ |
$1$ |
|
$0$ |
$875520$ |
$1.729692$ |
$-19983597574473/3670016$ |
$1.02843$ |
$4.29320$ |
$[0, 0, 0, -200044, -34443344]$ |
\(y^2=x^3-200044x-34443344\) |
56.2.0.b.1 |
$[(27238/7, 1753088/7)]$ |
| 75712.c1 |
75712r1 |
75712.c |
75712r |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{25} \cdot 7 \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.356515046$ |
$1$ |
|
$2$ |
$4515840$ |
$2.636631$ |
$-1207949625/332678528$ |
$1.06089$ |
$4.89073$ |
$[0, 0, 0, -239980, 988157872]$ |
\(y^2=x^3-239980x+988157872\) |
728.2.0.? |
$[(2717, 142805)]$ |
| 75712.d1 |
75712bl1 |
75712.d |
75712bl |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{37} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$11381760$ |
$3.012165$ |
$-19983597574473/3670016$ |
$1.02843$ |
$5.66304$ |
$[0, 0, 0, -33807436, -75672026768]$ |
\(y^2=x^3-33807436x-75672026768\) |
56.2.0.b.1 |
$[]$ |
| 75712.e1 |
75712q2 |
75712.e |
75712q |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.376555474$ |
$1$ |
|
$7$ |
$301056$ |
$1.394379$ |
$3543122/49$ |
$1.08036$ |
$3.76100$ |
$[0, 1, 0, -27265, -1721121]$ |
\(y^2=x^3+x^2-27265x-1721121\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-101, 112)]$ |
| 75712.e2 |
75712q1 |
75712.e |
75712q |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$2.753110949$ |
$1$ |
|
$5$ |
$150528$ |
$1.047806$ |
$-4/7$ |
$1.03482$ |
$3.19377$ |
$[0, 1, 0, -225, -71681]$ |
\(y^2=x^3+x^2-225x-71681\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(59, 352)]$ |
| 75712.f1 |
75712db3 |
75712.f |
75712db |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$0.311946795$ |
$1$ |
|
$4$ |
$870912$ |
$1.989153$ |
$-178643795968/524596891$ |
$1.15023$ |
$4.20673$ |
$[0, 1, 0, -79317, 21164521]$ |
\(y^2=x^3+x^2-79317x+21164521\) |
3.4.0.a.1, 9.12.0.a.1, 117.36.0.?, 168.8.0.?, 182.2.0.?, $\ldots$ |
$[(1512, 57967)]$ |
| 75712.f2 |
75712db1 |
75712.f |
75712db |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$2.807521159$ |
$1$ |
|
$2$ |
$96768$ |
$0.890540$ |
$-43614208/91$ |
$0.87141$ |
$3.30611$ |
$[0, 1, 0, -4957, -136239]$ |
\(y^2=x^3+x^2-4957x-136239\) |
3.4.0.a.1, 9.12.0.a.1, 117.36.0.?, 168.8.0.?, 182.2.0.?, $\ldots$ |
$[(368, 6929)]$ |
| 75712.f3 |
75712db2 |
75712.f |
75712db |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$0.935840386$ |
$1$ |
|
$2$ |
$290304$ |
$1.439846$ |
$224755712/753571$ |
$0.95798$ |
$3.59123$ |
$[0, 1, 0, 8563, -664871]$ |
\(y^2=x^3+x^2+8563x-664871\) |
3.12.0.a.1, 117.36.0.?, 168.24.0.?, 182.2.0.?, 312.24.0.?, $\ldots$ |
$[(160, 2197)]$ |
| 75712.g1 |
75712bk1 |
75712.g |
75712bk |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$52$ |
$4$ |
$0$ |
$1.475651849$ |
$1$ |
|
$6$ |
$15360$ |
$0.106926$ |
$1107392/2401$ |
$0.82733$ |
$2.15552$ |
$[0, 1, 0, 48, -194]$ |
\(y^2=x^3+x^2+48x-194\) |
4.2.0.a.1, 52.4.0-4.a.1.1 |
$[(5, 14), (33, 196)]$ |
| 75712.h1 |
75712dc1 |
75712.h |
75712dc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{20} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$2184$ |
$32$ |
$0$ |
$20.30223469$ |
$1$ |
|
$0$ |
$3594240$ |
$2.626499$ |
$-1214950633/196$ |
$0.94977$ |
$5.25554$ |
$[0, 1, 0, -7349697, -7672758209]$ |
\(y^2=x^3+x^2-7349697x-7672758209\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 84.16.0.?, 312.16.0.?, $\ldots$ |
$[(1171095738/601, 11049402637889/601)]$ |
| 75712.h2 |
75712dc2 |
75712.h |
75712dc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{24} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$2184$ |
$32$ |
$0$ |
$6.767411566$ |
$1$ |
|
$2$ |
$10782720$ |
$3.175804$ |
$17546087/7529536$ |
$1.06847$ |
$5.46645$ |
$[0, 1, 0, 1789823, -25079888001]$ |
\(y^2=x^3+x^2+1789823x-25079888001\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 84.16.0.?, 312.16.0.?, $\ldots$ |
$[(14210, 1694077)]$ |
| 75712.i1 |
75712da1 |
75712.i |
75712da |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.450937872$ |
$1$ |
|
$2$ |
$258048$ |
$1.470303$ |
$-1024/4459$ |
$0.96270$ |
$3.64507$ |
$[0, 1, 0, -901, -903837]$ |
\(y^2=x^3+x^2-901x-903837\) |
182.2.0.? |
$[(134, 1183)]$ |
| 75712.j1 |
75712bj1 |
75712.j |
75712bj |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$399360$ |
$1.666044$ |
$-114244/49$ |
$0.92353$ |
$3.89958$ |
$[0, 1, 0, -38081, -3786977]$ |
\(y^2=x^3+x^2-38081x-3786977\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[]$ |
| 75712.k1 |
75712cz1 |
75712.k |
75712cz |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{28} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$7.504155171$ |
$1$ |
|
$2$ |
$1198080$ |
$2.334858$ |
$15925559/50176$ |
$0.91331$ |
$4.54586$ |
$[0, 1, 0, 313439, -142285857]$ |
\(y^2=x^3+x^2+313439x-142285857\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[(4466, 300587)]$ |
| 75712.l1 |
75712cd2 |
75712.l |
75712cd |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{15} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.171848$ |
$125000/49$ |
$1.00487$ |
$3.33992$ |
$[0, 1, 0, -5633, 90559]$ |
\(y^2=x^3+x^2-5633x+90559\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 75712.l2 |
75712cd1 |
75712.l |
75712cd |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$0.825274$ |
$8000/7$ |
$0.98030$ |
$2.91015$ |
$[0, 1, 0, 1127, 10791]$ |
\(y^2=x^3+x^2+1127x+10791\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 75712.m1 |
75712cy6 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{27} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$4.211563381$ |
$1$ |
|
$1$ |
$2488320$ |
$2.735298$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.62692$ |
$[0, 1, 0, -29533313, 61765669759]$ |
\(y^2=x^3+x^2-29533313x+61765669759\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(79559/5, 548352/5)]$ |
| 75712.m2 |
75712cy5 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{36} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$8.423126763$ |
$1$ |
|
$1$ |
$1244160$ |
$2.388721$ |
$-548347731625/1835008$ |
$1.02933$ |
$4.88685$ |
$[0, 1, 0, -1844353, 966251391]$ |
\(y^2=x^3+x^2-1844353x+966251391\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(231009/17, 9004320/17)]$ |
| 75712.m3 |
75712cy4 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{21} \cdot 7^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$1.403854460$ |
$1$ |
|
$7$ |
$829440$ |
$2.185989$ |
$4956477625/941192$ |
$1.00821$ |
$4.46744$ |
$[0, 1, 0, -384193, 75002175]$ |
\(y^2=x^3+x^2-384193x+75002175\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(911, 21952)]$ |
| 75712.m4 |
75712cy2 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{19} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$4.211563381$ |
$1$ |
|
$3$ |
$276480$ |
$1.636684$ |
$128787625/98$ |
$0.96763$ |
$4.14253$ |
$[0, 1, 0, -113793, -14803073]$ |
\(y^2=x^3+x^2-113793x-14803073\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(1503, 56672)]$ |
| 75712.m5 |
75712cy1 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{20} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$8.423126763$ |
$1$ |
|
$1$ |
$138240$ |
$1.290110$ |
$-15625/28$ |
$1.01712$ |
$3.46544$ |
$[0, 1, 0, -5633, -331265]$ |
\(y^2=x^3+x^2-5633x-331265\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(45351/11, 9444352/11)]$ |
| 75712.m6 |
75712cy3 |
75712.m |
75712cy |
$6$ |
$18$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{24} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$2.807708921$ |
$1$ |
|
$5$ |
$414720$ |
$1.839417$ |
$9938375/21952$ |
$0.98695$ |
$4.00668$ |
$[0, 1, 0, 48447, 6904639]$ |
\(y^2=x^3+x^2+48447x+6904639\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(143, 4096)]$ |
| 75712.n1 |
75712ce1 |
75712.n |
75712ce |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{28} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.052385$ |
$15925559/50176$ |
$0.91331$ |
$3.17602$ |
$[0, 1, 0, 1855, -64193]$ |
\(y^2=x^3+x^2+1855x-64193\) |
4.2.0.a.1, 728.4.0.? |
$[]$ |
| 75712.o1 |
75712n1 |
75712.o |
75712n |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$0.892720949$ |
$1$ |
|
$6$ |
$30720$ |
$0.383570$ |
$-114244/49$ |
$0.92353$ |
$2.52974$ |
$[0, 1, 0, -225, -1793]$ |
\(y^2=x^3+x^2-225x-1793\) |
4.2.0.a.1, 728.4.0.? |
$[(27, 112)]$ |
| 75712.p1 |
75712cf1 |
75712.p |
75712cf |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.159447$ |
$-65536/91$ |
$0.78564$ |
$3.32966$ |
$[0, 1, 0, -3605, -154829]$ |
\(y^2=x^3+x^2-3605x-154829\) |
182.2.0.? |
$[]$ |
| 75712.q1 |
75712cg1 |
75712.q |
75712cg |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{20} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.344025$ |
$-1214950633/196$ |
$0.94977$ |
$3.88570$ |
$[0, 1, 0, -43489, -3505761]$ |
\(y^2=x^3+x^2-43489x-3505761\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0-12.a.1.6, 56.4.0-4.a.1.1, $\ldots$ |
$[]$ |
| 75712.q2 |
75712cg2 |
75712.q |
75712cg |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{24} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.893330$ |
$17546087/7529536$ |
$1.06847$ |
$4.09661$ |
$[0, 1, 0, 10591, -11412257]$ |
\(y^2=x^3+x^2+10591x-11412257\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0-12.a.1.5, 56.4.0-4.a.1.1, $\ldots$ |
$[]$ |
| 75712.r1 |
75712p1 |
75712.r |
75712p |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7 \cdot 13^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$20.22669739$ |
$1$ |
|
$0$ |
$1806336$ |
$2.437260$ |
$530208386048/439239619$ |
$0.96694$ |
$4.63656$ |
$[0, 1, 0, 723771, 155928163]$ |
\(y^2=x^3+x^2+723771x+155928163\) |
182.2.0.? |
$[(2420673966/2621, 384000259380959/2621)]$ |
| 75712.s1 |
75712o1 |
75712.s |
75712o |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$8.035950958$ |
$1$ |
|
$0$ |
$199680$ |
$1.389400$ |
$1107392/2401$ |
$0.82733$ |
$3.52536$ |
$[0, 1, 0, 8056, -458522]$ |
\(y^2=x^3+x^2+8056x-458522\) |
4.4.0-4.a.1.1 |
$[(1261/5, 35066/5)]$ |
| 75712.t1 |
75712bd2 |
75712.t |
75712bd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$2.206757$ |
$-156116857/2744$ |
$0.89198$ |
$4.61893$ |
$[0, -1, 0, -670817, -214436639]$ |
\(y^2=x^3-x^2-670817x-214436639\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 42.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 75712.t2 |
75712bd1 |
75712.t |
75712bd |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.657450$ |
$17303/14$ |
$0.76938$ |
$3.80561$ |
$[0, -1, 0, 32223, -1415519]$ |
\(y^2=x^3-x^2+32223x-1415519\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 42.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 75712.u1 |
75712df1 |
75712.u |
75712df |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.937773$ |
$-226981/14$ |
$0.81013$ |
$4.27204$ |
$[0, -1, 0, -178689, 30643105]$ |
\(y^2=x^3-x^2-178689x+30643105\) |
5.6.0.a.1, 65.12.0.a.2, 280.12.0.?, 520.24.0.?, 728.2.0.?, $\ldots$ |
$[]$ |
| 75712.u2 |
75712df2 |
75712.u |
75712df |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2995200$ |
$2.742493$ |
$5735339/537824$ |
$1.00587$ |
$5.00281$ |
$[0, -1, 0, 524351, -1854769567]$ |
\(y^2=x^3-x^2+524351x-1854769567\) |
5.6.0.a.1, 65.12.0.a.1, 280.12.0.?, 520.24.0.?, 728.2.0.?, $\ldots$ |
$[]$ |
| 75712.v1 |
75712ca1 |
75712.v |
75712ca |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$1.850317$ |
$-1352/7$ |
$0.74151$ |
$4.05470$ |
$[0, -1, 0, -38081, -9008351]$ |
\(y^2=x^3-x^2-38081x-9008351\) |
56.2.0.b.1 |
$[]$ |
| 75712.w1 |
75712f3 |
75712.w |
75712f |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$20.33063634$ |
$1$ |
|
$0$ |
$3483648$ |
$3.002651$ |
$-424962187484640625/182$ |
$1.05379$ |
$6.09337$ |
$[0, -1, 0, -169411233, -848657634527]$ |
\(y^2=x^3-x^2-169411233x-848657634527\) |
3.4.0.a.1, 9.12.0.a.1, 42.8.0-3.a.1.1, 126.24.0.?, 312.8.0.?, $\ldots$ |
$[(4321549561/529, 69080762779040/529)]$ |
| 75712.w2 |
75712f2 |
75712.w |
75712f |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$6.776878782$ |
$1$ |
|
$2$ |
$1161216$ |
$2.453346$ |
$-795309684625/6028568$ |
$0.94067$ |
$4.92059$ |
$[0, -1, 0, -2087713, -1167942751]$ |
\(y^2=x^3-x^2-2087713x-1167942751\) |
3.12.0.a.1, 42.24.0-3.a.1.1, 312.24.0.?, 728.2.0.?, 819.36.0.?, $\ldots$ |
$[(10969, 1138240)]$ |
| 75712.w3 |
75712f1 |
75712.w |
75712f |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{27} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$2.258959594$ |
$1$ |
|
$2$ |
$387072$ |
$1.904039$ |
$37595375/46592$ |
$0.87083$ |
$4.04471$ |
$[0, -1, 0, 75487, -8554079]$ |
\(y^2=x^3-x^2+75487x-8554079\) |
3.4.0.a.1, 9.12.0.a.1, 42.8.0-3.a.1.2, 126.24.0.?, 312.8.0.?, $\ldots$ |
$[(153, 2560)]$ |
| 75712.x1 |
75712cs1 |
75712.x |
75712cs |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1.052765632$ |
$1$ |
|
$2$ |
$129024$ |
$1.327311$ |
$-31250/91$ |
$0.83978$ |
$3.49988$ |
$[0, -1, 0, -5633, 401569]$ |
\(y^2=x^3-x^2-5633x+401569\) |
728.2.0.? |
$[(-69, 676)]$ |
| 75712.y1 |
75712cr1 |
75712.y |
75712cr |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7^{5} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$0.984198729$ |
$1$ |
|
$4$ |
$967680$ |
$2.289612$ |
$54439939000/36924979$ |
$0.93864$ |
$4.49565$ |
$[0, -1, 0, 427007, -44690335]$ |
\(y^2=x^3-x^2+427007x-44690335\) |
728.2.0.? |
$[(269, 9464)]$ |
| 75712.z1 |
75712ct1 |
75712.z |
75712ct |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1.919796011$ |
$1$ |
|
$4$ |
$32256$ |
$0.567842$ |
$-1352/7$ |
$0.74151$ |
$2.68486$ |
$[0, -1, 0, -225, -4031]$ |
\(y^2=x^3-x^2-225x-4031\) |
56.2.0.b.1 |
$[(21, 8)]$ |
| 75712.ba1 |
75712cj1 |
75712.ba |
75712cj |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$0.602870649$ |
$1$ |
|
$4$ |
$46080$ |
$0.655297$ |
$-226981/14$ |
$0.81013$ |
$2.90221$ |
$[0, -1, 0, -1057, 14273]$ |
\(y^2=x^3-x^2-1057x+14273\) |
5.6.0.a.1, 65.12.0.a.2, 280.12.0.?, 520.24.0.?, 728.2.0.?, $\ldots$ |
$[(61, 416)]$ |
| 75712.ba2 |
75712cj2 |
75712.ba |
75712cj |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 7^{5} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$3.014353248$ |
$1$ |
|
$0$ |
$230400$ |
$1.460016$ |
$5735339/537824$ |
$1.00587$ |
$3.63297$ |
$[0, -1, 0, 3103, -845183]$ |
\(y^2=x^3-x^2+3103x-845183\) |
5.6.0.a.1, 65.12.0.a.1, 280.12.0.?, 520.24.0.?, 728.2.0.?, $\ldots$ |
$[(757/3, 1664/3)]$ |
| 75712.bb1 |
75712g2 |
75712.bb |
75712g |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$5.321167727$ |
$1$ |
|
$0$ |
$82944$ |
$0.924281$ |
$-156116857/2744$ |
$0.89198$ |
$3.24910$ |
$[0, -1, 0, -3969, -96383]$ |
\(y^2=x^3-x^2-3969x-96383\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 312.8.0.?, 546.8.0.?, $\ldots$ |
$[(1849/5, 11968/5)]$ |
| 75712.bb2 |
75712g1 |
75712.bb |
75712g |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.773722575$ |
$1$ |
|
$2$ |
$27648$ |
$0.374975$ |
$17303/14$ |
$0.76938$ |
$2.43578$ |
$[0, -1, 0, 191, -703]$ |
\(y^2=x^3-x^2+191x-703\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 312.8.0.?, 546.8.0.?, $\ldots$ |
$[(49, 352)]$ |
| 75712.bc1 |
75712cb1 |
75712.bc |
75712cb |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$365568$ |
$1.480471$ |
$-193100552/91$ |
$0.96395$ |
$3.99356$ |
$[0, -1, 0, -65121, 6420673]$ |
\(y^2=x^3-x^2-65121x+6420673\) |
728.2.0.? |
$[]$ |
| 75712.bd1 |
75712be1 |
75712.bd |
75712be |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{29} \cdot 7^{7} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9934848$ |
$3.193363$ |
$-10824513276632329/21926008832$ |
$0.99602$ |
$5.76700$ |
$[0, -1, 0, -49845761, 135707039233]$ |
\(y^2=x^3-x^2-49845761x+135707039233\) |
728.2.0.? |
$[]$ |
| 75712.be1 |
75712bu1 |
75712.be |
75712bu |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$28$ |
$4$ |
$0$ |
$0.434390167$ |
$1$ |
|
$16$ |
$46080$ |
$0.676694$ |
$73008/49$ |
$0.83745$ |
$2.77375$ |
$[0, 0, 0, 676, 2704]$ |
\(y^2=x^3+676x+2704\) |
4.2.0.a.1, 28.4.0-4.a.1.1 |
$[(78, 728), (0, 52)]$ |
| 75712.bf1 |
75712d1 |
75712.bf |
75712d |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7^{5} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.079037786$ |
$1$ |
|
$2$ |
$645120$ |
$1.992485$ |
$-86044336128/218491$ |
$0.99544$ |
$4.47509$ |
$[0, 0, 0, -394784, 95683744]$ |
\(y^2=x^3-394784x+95683744\) |
182.2.0.? |
$[(273, 2873)]$ |
| 75712.bg1 |
75712u1 |
75712.bg |
75712u |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$1092$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$179712$ |
$1.437412$ |
$-13824/343$ |
$0.92990$ |
$3.61015$ |
$[0, 0, 0, -4394, -742586]$ |
\(y^2=x^3-4394x-742586\) |
3.3.0.a.1, 84.6.0.?, 156.6.0.?, 182.2.0.?, 546.6.1.?, $\ldots$ |
$[]$ |
