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 |
77658.a1 |
77658k1 |
77658.a |
77658k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{2} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11096064$ |
$3.002853$ |
$-11273777226305161/7938$ |
$0.99771$ |
$5.95475$ |
$[1, 1, 0, -106014302, 420096575550]$ |
\(y^2+xy=x^3+x^2-106014302x+420096575550\) |
8.2.0.a.1 |
$[]$ |
77658.b1 |
77658f1 |
77658.b |
77658f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3 \cdot 7 \cdot 43^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$2.520147775$ |
$1$ |
|
$4$ |
$206976$ |
$1.215456$ |
$7189057/1806$ |
$0.77503$ |
$3.40631$ |
$[1, 1, 0, -7434, -188706]$ |
\(y^2+xy=x^3+x^2-7434x-188706\) |
7224.2.0.? |
$[(125, 862), (-15137/21, 1694533/21)]$ |
77658.c1 |
77658c1 |
77658.c |
77658c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.338730372$ |
$1$ |
|
$2$ |
$2600640$ |
$2.521255$ |
$4212803783/8470728$ |
$0.93010$ |
$4.72084$ |
$[1, 1, 0, 763599, 404326269]$ |
\(y^2+xy=x^3+x^2+763599x+404326269\) |
8.2.0.a.1 |
$[(479, 29430)]$ |
77658.d1 |
77658d2 |
77658.d |
77658d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{12} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$846720$ |
$1.923952$ |
$-1659169925538042625/3986290713888$ |
$1.01818$ |
$4.39423$ |
$[1, 1, 0, -302715, 64113021]$ |
\(y^2+xy=x^3+x^2-302715x+64113021\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.? |
$[]$ |
77658.d2 |
77658d1 |
77658.d |
77658d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{4} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$282240$ |
$1.374645$ |
$19516416197375/57354780672$ |
$0.99314$ |
$3.51067$ |
$[1, 1, 0, 6885, 446877]$ |
\(y^2+xy=x^3+x^2+6885x+446877\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.? |
$[]$ |
77658.e1 |
77658m1 |
77658.e |
77658m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2 \cdot 3^{2} \cdot 7^{4} \cdot 43^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$6.065968750$ |
$1$ |
|
$2$ |
$4045440$ |
$2.715561$ |
$-28890625/43218$ |
$1.00652$ |
$4.97934$ |
$[1, 1, 0, -1780625, -1732344849]$ |
\(y^2+xy=x^3+x^2-1780625x-1732344849\) |
8.2.0.a.1 |
$[(2315, 79829)]$ |
77658.f1 |
77658l1 |
77658.f |
77658l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.155469519$ |
$1$ |
|
$2$ |
$105840$ |
$0.930667$ |
$-27685698258625/7838208$ |
$0.96610$ |
$3.41693$ |
$[1, 1, 0, -7735, 258709]$ |
\(y^2+xy=x^3+x^2-7735x+258709\) |
168.2.0.? |
$[(45, 43)]$ |
77658.g1 |
77658a1 |
77658.g |
77658a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$10.31169403$ |
$1$ |
|
$0$ |
$8990784$ |
$2.913589$ |
$43725816667/18966528$ |
$0.96676$ |
$5.18221$ |
$[1, 1, 0, -5835482, 2712971028]$ |
\(y^2+xy=x^3+x^2-5835482x+2712971028\) |
7224.2.0.? |
$[(8378539/11, 24191746246/11)]$ |
77658.h1 |
77658g1 |
77658.h |
77658g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3 \cdot 7^{7} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5721408$ |
$2.964806$ |
$1317614126347/4941258$ |
$0.96661$ |
$5.48466$ |
$[1, 1, 0, -18159067, -29695274777]$ |
\(y^2+xy=x^3+x^2-18159067x-29695274777\) |
7224.2.0.? |
$[]$ |
77658.i1 |
77658b1 |
77658.i |
77658b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{4} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$9.631325662$ |
$1$ |
|
$0$ |
$4854528$ |
$2.903378$ |
$-11543820929593/224042112$ |
$0.96119$ |
$5.34630$ |
$[1, 1, 0, -10685409, -13672229067]$ |
\(y^2+xy=x^3+x^2-10685409x-13672229067\) |
8.2.0.a.1 |
$[(65656689/97, 454620918066/97)]$ |
77658.j1 |
77658h1 |
77658.j |
77658h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11269440$ |
$3.177135$ |
$5670505847/23702740992$ |
$1.06600$ |
$5.45583$ |
$[1, 1, 0, 843106, -25321833228]$ |
\(y^2+xy=x^3+x^2+843106x-25321833228\) |
8.2.0.a.1 |
$[]$ |
77658.k1 |
77658e1 |
77658.k |
77658e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{13} \cdot 3^{11} \cdot 7^{5} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21141120$ |
$3.453217$ |
$1889777177808124753/1048775180673024$ |
$1.02714$ |
$5.74154$ |
$[1, 1, 0, -47624731, -25636634723]$ |
\(y^2+xy=x^3+x^2-47624731x-25636634723\) |
7224.2.0.? |
$[]$ |
77658.l1 |
77658n1 |
77658.l |
77658n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 7 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$5.774504485$ |
$1$ |
|
$2$ |
$1034880$ |
$1.956980$ |
$100999381393/9362304$ |
$0.88823$ |
$4.25447$ |
$[1, 1, 0, -179391, -26875323]$ |
\(y^2+xy=x^3+x^2-179391x-26875323\) |
7224.2.0.? |
$[(35213, 6589795)]$ |
77658.m1 |
77658i2 |
77658.m |
77658i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3612$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$30514176$ |
$3.583122$ |
$126710241047083/59997563136$ |
$1.02031$ |
$5.89017$ |
$[1, 1, 0, -83195793, -124567320555]$ |
\(y^2+xy=x^3+x^2-83195793x-124567320555\) |
2.3.0.a.1, 84.6.0.?, 172.6.0.?, 3612.12.0.? |
$[]$ |
77658.m2 |
77658i1 |
77658.m |
77658i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{16} \cdot 3^{7} \cdot 7 \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3612$ |
$12$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$15257088$ |
$3.236549$ |
$1409825840597/1003290624$ |
$0.99952$ |
$5.49067$ |
$[1, 1, 0, 18573167, -14758612715]$ |
\(y^2+xy=x^3+x^2+18573167x-14758612715\) |
2.3.0.a.1, 84.6.0.?, 172.6.0.?, 1806.6.0.?, 3612.12.0.? |
$[]$ |
77658.n1 |
77658j1 |
77658.n |
77658j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{23} \cdot 3^{4} \cdot 7^{6} \cdot 43^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5935104$ |
$2.600433$ |
$-70200862594969/79939818749952$ |
$1.11640$ |
$4.84121$ |
$[1, 1, 0, -129468, -795639600]$ |
\(y^2+xy=x^3+x^2-129468x-795639600\) |
8.2.0.a.1 |
$[]$ |
77658.o1 |
77658u1 |
77658.o |
77658u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{19} \cdot 3 \cdot 7^{7} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$176964480$ |
$4.471725$ |
$509871621645082002682657/190423143557704974336$ |
$1.04036$ |
$6.85215$ |
$[1, 0, 1, -3077390585, -39130754228068]$ |
\(y^2+xy+y=x^3-3077390585x-39130754228068\) |
7224.2.0.? |
$[]$ |
77658.p1 |
77658s1 |
77658.p |
77658s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{17} \cdot 3^{5} \cdot 7 \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7539840$ |
$3.153397$ |
$146797702716641761/17726361698304$ |
$0.98031$ |
$5.51462$ |
$[1, 0, 1, -20320549, 31362358928]$ |
\(y^2+xy+y=x^3-20320549x+31362358928\) |
7224.2.0.? |
$[]$ |
77658.q1 |
77658p2 |
77658.q |
77658p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1204$ |
$12$ |
$0$ |
$2.517429648$ |
$1$ |
|
$4$ |
$2128896$ |
$2.433620$ |
$68644006908625/1639085868$ |
$0.93629$ |
$4.83364$ |
$[1, 0, 1, -1577236, 746391350]$ |
\(y^2+xy+y=x^3-1577236x+746391350\) |
2.3.0.a.1, 28.6.0.c.1, 172.6.0.?, 1204.12.0.? |
$[(895, 6755)]$ |
77658.q2 |
77658p1 |
77658.q |
77658p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1204$ |
$12$ |
$0$ |
$5.034859297$ |
$1$ |
|
$3$ |
$1064448$ |
$2.087048$ |
$37595375/91325808$ |
$0.98395$ |
$4.29408$ |
$[1, 0, 1, 12904, 36552854]$ |
\(y^2+xy+y=x^3+12904x+36552854\) |
2.3.0.a.1, 14.6.0.b.1, 172.6.0.?, 1204.12.0.? |
$[(-123, 5815)]$ |
77658.r1 |
77658r2 |
77658.r |
77658r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1.935917014$ |
$1$ |
|
$2$ |
$8192016$ |
$3.110561$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$5.40756$ |
$[1, 0, 1, -9731326, -19297327048]$ |
\(y^2+xy+y=x^3-9731326x-19297327048\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[(3852, 17488)]$ |
77658.r2 |
77658r1 |
77658.r |
77658r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2 \cdot 3^{9} \cdot 7^{3} \cdot 43^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$5.807751042$ |
$1$ |
|
$4$ |
$2730672$ |
$2.561253$ |
$9522140375/13502538$ |
$1.02988$ |
$4.74582$ |
$[1, 0, 1, 1002119, 465091886]$ |
\(y^2+xy+y=x^3+1002119x+465091886\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[(-396, 2686)]$ |
77658.s1 |
77658o1 |
77658.s |
77658o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{3} \cdot 3 \cdot 7 \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1543872$ |
$2.124054$ |
$65450827/168$ |
$0.87306$ |
$4.60455$ |
$[1, 0, 1, -667528, 209397374]$ |
\(y^2+xy+y=x^3-667528x+209397374\) |
7224.2.0.? |
$[]$ |
77658.t1 |
77658t4 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$4816$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1290240$ |
$2.069702$ |
$268498407453697/252$ |
$1.05727$ |
$4.95477$ |
$[1, 0, 1, -2485095, -1508072162]$ |
\(y^2+xy+y=x^3-2485095x-1508072162\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
77658.t2 |
77658t6 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.416275$ |
$84448510979617/933897762$ |
$1.05309$ |
$4.85204$ |
$[1, 0, 1, -1690025, 837384338]$ |
\(y^2+xy+y=x^3-1690025x+837384338\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 172.12.0.?, $\ldots$ |
$[]$ |
77658.t3 |
77658t3 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$2408$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1290240$ |
$2.069702$ |
$124475734657/63011844$ |
$1.06499$ |
$4.27303$ |
$[1, 0, 1, -192335, -11506354]$ |
\(y^2+xy+y=x^3-192335x-11506354\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 56.96.1.bp.2, 172.24.0.?, $\ldots$ |
$[]$ |
77658.t4 |
77658t2 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$2408$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$645120$ |
$1.723127$ |
$65597103937/63504$ |
$1.01692$ |
$4.21614$ |
$[1, 0, 1, -155355, -23561834]$ |
\(y^2+xy+y=x^3-155355x-23561834\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 56.96.1.by.1, $\ldots$ |
$[]$ |
77658.t5 |
77658t1 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$4816$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$322560$ |
$1.376554$ |
$-7189057/16128$ |
$0.98224$ |
$3.54702$ |
$[1, 0, 1, -7435, -545482]$ |
\(y^2+xy+y=x^3-7435x-545482\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[]$ |
77658.t6 |
77658t5 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$4816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.416275$ |
$6359387729183/4218578658$ |
$1.08314$ |
$4.62237$ |
$[1, 0, 1, 713675, -88698406]$ |
\(y^2+xy+y=x^3+713675x-88698406\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 56.48.0.bc.1, $\ldots$ |
$[]$ |
77658.u1 |
77658q1 |
77658.u |
77658q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{17} \cdot 3 \cdot 7^{3} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$22.10810922$ |
$1$ |
|
$0$ |
$4523904$ |
$2.739784$ |
$22563705894034033/5799542784$ |
$0.96855$ |
$5.34831$ |
$[1, 0, 1, -10885102, -13820663008]$ |
\(y^2+xy+y=x^3-10885102x-13820663008\) |
7224.2.0.? |
$[(301506358260/8521, 68129912365922923/8521)]$ |
77658.v1 |
77658y3 |
77658.v |
77658y |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{9} \cdot 3 \cdot 7 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$21672$ |
$144$ |
$3$ |
$2.062547991$ |
$1$ |
|
$4$ |
$11975040$ |
$3.115685$ |
$257705427598877502217/462336$ |
$1.00716$ |
$6.17807$ |
$[1, 1, 1, -245133987, 1477145848257]$ |
\(y^2+xy+y=x^3+x^2-245133987x+1477145848257\) |
3.4.0.a.1, 9.12.0.a.1, 129.8.0.?, 168.8.0.?, 387.24.0.?, $\ldots$ |
$[(9039, -4518)]$ |
77658.v2 |
77658y2 |
77658.v |
77658y |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{3} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$21672$ |
$144$ |
$3$ |
$6.187643973$ |
$1$ |
|
$2$ |
$3991680$ |
$2.566376$ |
$489173485343257/5890514616$ |
$0.94811$ |
$5.00805$ |
$[1, 1, 1, -3035172, 2012723757]$ |
\(y^2+xy+y=x^3+x^2-3035172x+2012723757\) |
3.12.0.a.1, 129.24.0.?, 168.24.0.?, 2709.72.0.?, 7224.48.1.?, $\ldots$ |
$[(867, 5387)]$ |
77658.v3 |
77658y1 |
77658.v |
77658y |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3^{9} \cdot 7 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$21672$ |
$144$ |
$3$ |
$18.56293191$ |
$1$ |
|
$0$ |
$1330560$ |
$2.017071$ |
$424072554697/11849166$ |
$0.89888$ |
$4.38189$ |
$[1, 1, 1, -289407, -58581513]$ |
\(y^2+xy+y=x^3+x^2-289407x-58581513\) |
3.4.0.a.1, 9.12.0.a.1, 129.8.0.?, 168.8.0.?, 387.24.0.?, $\ldots$ |
$[(-134809809/650, 369016024311/650)]$ |
77658.w1 |
77658w1 |
77658.w |
77658w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{19} \cdot 7 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$2.710215021$ |
$1$ |
|
$4$ |
$8426880$ |
$3.083721$ |
$29298155334152041/11194902450144$ |
$0.98341$ |
$5.37150$ |
$[1, 1, 1, -11875241, 9175768247]$ |
\(y^2+xy+y=x^3+x^2-11875241x+9175768247\) |
7224.2.0.? |
$[(2963, 2216)]$ |
77658.x1 |
77658z1 |
77658.x |
77658z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{3} \cdot 3 \cdot 7 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1.194093876$ |
$1$ |
|
$4$ |
$35904$ |
$0.243456$ |
$65450827/168$ |
$0.87306$ |
$2.60038$ |
$[1, 1, 1, -361, -2785]$ |
\(y^2+xy+y=x^3+x^2-361x-2785\) |
7224.2.0.? |
$[(-11, 6)]$ |
77658.y1 |
77658v2 |
77658.y |
77658v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$4.359483188$ |
$1$ |
|
$2$ |
$190512$ |
$1.229959$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$3.40338$ |
$[1, 1, 1, -5263, 240509]$ |
\(y^2+xy+y=x^3+x^2-5263x+240509\) |
3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.? |
$[(97, 760)]$ |
77658.y2 |
77658v1 |
77658.y |
77658v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2 \cdot 3^{9} \cdot 7^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$13.07844956$ |
$1$ |
|
$0$ |
$63504$ |
$0.680654$ |
$9522140375/13502538$ |
$1.02988$ |
$2.74164$ |
$[1, 1, 1, 542, -5623]$ |
\(y^2+xy+y=x^3+x^2+542x-5623\) |
3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.? |
$[(150211/130, -10438299/130)]$ |
77658.z1 |
77658ba2 |
77658.z |
77658ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1204$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4257792$ |
$2.835121$ |
$348831893748633625/884737728$ |
$0.98137$ |
$5.59149$ |
$[1, 1, 1, -27116548, -54361200571]$ |
\(y^2+xy+y=x^3+x^2-27116548x-54361200571\) |
2.3.0.a.1, 28.6.0.c.1, 172.6.0.?, 1204.12.0.? |
$[]$ |
77658.z2 |
77658ba1 |
77658.z |
77658ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7 \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1204$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2128896$ |
$2.488548$ |
$-82114348569625/4294176768$ |
$0.93821$ |
$4.85724$ |
$[1, 1, 1, -1674308, -871435195]$ |
\(y^2+xy+y=x^3+x^2-1674308x-871435195\) |
2.3.0.a.1, 14.6.0.b.1, 172.6.0.?, 1204.12.0.? |
$[]$ |
77658.ba1 |
77658x4 |
77658.ba |
77658x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$7224$ |
$48$ |
$0$ |
$18.44414336$ |
$1$ |
|
$0$ |
$1419264$ |
$2.290592$ |
$87960822051817/33450732$ |
$0.93732$ |
$4.85566$ |
$[1, 1, 1, -1713137, -863480797]$ |
\(y^2+xy+y=x^3+x^2-1713137x-863480797\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 172.24.0.?, 7224.48.0.? |
$[(-3376869569/2123, -447491172290/2123)]$ |
77658.ba2 |
77658x3 |
77658.ba |
77658x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{2} \cdot 3 \cdot 7 \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$7224$ |
$48$ |
$0$ |
$18.44414336$ |
$1$ |
|
$0$ |
$1419264$ |
$2.290592$ |
$12735853007977/287179284$ |
$0.99828$ |
$4.68404$ |
$[1, 1, 1, -899577, 321565491]$ |
\(y^2+xy+y=x^3+x^2-899577x+321565491\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(144830379/275, 1540164474958/275)]$ |
77658.ba3 |
77658x2 |
77658.ba |
77658x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3612$ |
$48$ |
$0$ |
$9.222071683$ |
$1$ |
|
$2$ |
$709632$ |
$1.944017$ |
$32553430057/13046544$ |
$0.89384$ |
$4.15391$ |
$[1, 1, 1, -122997, -9257589]$ |
\(y^2+xy+y=x^3+x^2-122997x-9257589\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 172.24.0.?, 3612.48.0.? |
$[(-28155/11, 3633012/11)]$ |
77658.ba4 |
77658x1 |
77658.ba |
77658x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7 \cdot 43^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$7224$ |
$48$ |
$0$ |
$18.44414336$ |
$1$ |
|
$3$ |
$354816$ |
$1.597445$ |
$270840023/231168$ |
$0.84976$ |
$3.72859$ |
$[1, 1, 1, 24923, -1033237]$ |
\(y^2+xy+y=x^3+x^2+24923x-1033237\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 344.24.0.?, 1806.6.0.?, $\ldots$ |
$[(143186371/1133, 2499558119460/1133)]$ |
77658.bb1 |
77658bb1 |
77658.bb |
77658bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 7^{5} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6652800$ |
$2.846813$ |
$348047549263412713/1404930744$ |
$0.98136$ |
$5.59129$ |
$[1, 1, 1, -27096209, 54277404599]$ |
\(y^2+xy+y=x^3+x^2-27096209x+54277404599\) |
7224.2.0.? |
$[]$ |
77658.bc1 |
77658bf2 |
77658.bc |
77658bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 7^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3612$ |
$12$ |
$0$ |
$0.210263672$ |
$1$ |
|
$14$ |
$709632$ |
$1.702524$ |
$126710241047083/59997563136$ |
$1.02031$ |
$3.88599$ |
$[1, 0, 0, -44995, 1562561]$ |
\(y^2+xy=x^3-44995x+1562561\) |
2.3.0.a.1, 84.6.0.?, 172.6.0.?, 3612.12.0.? |
$[(326, 4481)]$ |
77658.bc2 |
77658bf1 |
77658.bc |
77658bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{16} \cdot 3^{7} \cdot 7 \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3612$ |
$12$ |
$0$ |
$0.420527345$ |
$1$ |
|
$13$ |
$354816$ |
$1.355951$ |
$1409825840597/1003290624$ |
$0.99952$ |
$3.48649$ |
$[1, 0, 0, 10045, 186561]$ |
\(y^2+xy=x^3+10045x+186561\) |
2.3.0.a.1, 84.6.0.?, 172.6.0.?, 1806.6.0.?, 3612.12.0.? |
$[(46, 841)]$ |
77658.bd1 |
77658bj1 |
77658.bd |
77658bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{23} \cdot 3^{4} \cdot 7^{6} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$255209472$ |
$4.481033$ |
$-70200862594969/79939818749952$ |
$1.11640$ |
$6.84539$ |
$[1, 0, 0, -239387295, 63254608711641]$ |
\(y^2+xy=x^3-239387295x+63254608711641\) |
8.2.0.a.1 |
$[]$ |
77658.be1 |
77658bh1 |
77658.be |
77658bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.121454249$ |
$1$ |
|
$32$ |
$262080$ |
$1.296535$ |
$5670505847/23702740992$ |
$1.06600$ |
$3.45165$ |
$[1, 0, 0, 456, 318528]$ |
\(y^2+xy=x^3+456x+318528\) |
8.2.0.a.1 |
$[(-48, 456), (6, 564)]$ |
77658.bf1 |
77658bo1 |
77658.bf |
77658bo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{4} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.076542586$ |
$1$ |
|
$12$ |
$112896$ |
$1.022778$ |
$-11543820929593/224042112$ |
$0.96119$ |
$3.34212$ |
$[1, 0, 0, -5779, 171425]$ |
\(y^2+xy=x^3-5779x+171425\) |
8.2.0.a.1 |
$[(38, 65)]$ |
77658.bg1 |
77658be1 |
77658.bg |
77658be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3 \cdot 7^{7} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7224$ |
$2$ |
$0$ |
$5.353747411$ |
$1$ |
|
$0$ |
$133056$ |
$1.084206$ |
$1317614126347/4941258$ |
$0.96661$ |
$3.48048$ |
$[1, 0, 0, -9821, 372579]$ |
\(y^2+xy=x^3-9821x+372579\) |
7224.2.0.? |
$[(147/2, 1839/2)]$ |