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 |
49725.a1 |
49725v1 |
49725.a |
49725v |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{8} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.173688433$ |
$1$ |
|
$2$ |
$268800$ |
$1.574026$ |
$57409966080/1085773$ |
$0.88162$ |
$4.09095$ |
$[0, 0, 1, -52875, 4602656]$ |
\(y^2+y=x^3-52875x+4602656\) |
26.2.0.a.1 |
$[(76, 1011)]$ |
49725.b1 |
49725z1 |
49725.b |
49725z |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{3} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$0.111483023$ |
$1$ |
|
$10$ |
$48384$ |
$0.607840$ |
$122023936/112047$ |
$0.81134$ |
$2.77779$ |
$[0, 0, 1, 465, 2956]$ |
\(y^2+y=x^3+465x+2956\) |
6630.2.0.? |
$[(40, 292)]$ |
49725.c1 |
49725k1 |
49725.c |
49725k |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{10} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$5.368639644$ |
$1$ |
|
$2$ |
$432000$ |
$1.702267$ |
$1600000000/634933$ |
$1.01772$ |
$4.05754$ |
$[0, 0, 1, -46875, -2189844]$ |
\(y^2+y=x^3-46875x-2189844\) |
26.2.0.a.1 |
$[(771, 20493)]$ |
49725.d1 |
49725d2 |
49725.d |
49725d |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{3} \cdot 5^{8} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.449277389$ |
$1$ |
|
$8$ |
$98304$ |
$1.145666$ |
$43132764843/12138425$ |
$0.92823$ |
$3.46210$ |
$[1, -1, 1, -5480, 113272]$ |
\(y^2+xy+y=x^3-x^2-5480x+113272\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(104, 760)]$ |
49725.d2 |
49725d1 |
49725.d |
49725d |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.898554778$ |
$1$ |
|
$7$ |
$49152$ |
$0.799093$ |
$188132517/244205$ |
$0.88378$ |
$2.97965$ |
$[1, -1, 1, 895, 11272]$ |
\(y^2+xy+y=x^3-x^2+895x+11272\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(40, 311)]$ |
49725.e1 |
49725j4 |
49725.e |
49725j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.009395184$ |
$1$ |
|
$6$ |
$786432$ |
$2.288185$ |
$420339554066191969/244298925$ |
$0.95222$ |
$5.25492$ |
$[1, -1, 1, -3511355, 2533439022]$ |
\(y^2+xy+y=x^3-x^2-3511355x+2533439022\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(1070, 153)]$ |
49725.e2 |
49725j2 |
49725.e |
49725j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{10} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13260$ |
$48$ |
$0$ |
$2.018790369$ |
$1$ |
|
$8$ |
$393216$ |
$1.941612$ |
$104413920565969/2472575625$ |
$1.15696$ |
$4.48738$ |
$[1, -1, 1, -220730, 39145272]$ |
\(y^2+xy+y=x^3-x^2-220730x+39145272\) |
2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 780.24.0.?, $\ldots$ |
$[(188, 1971)]$ |
49725.e3 |
49725j1 |
49725.e |
49725j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$4.037580738$ |
$1$ |
|
$3$ |
$196608$ |
$1.595039$ |
$278317173889/109245825$ |
$0.94810$ |
$3.93927$ |
$[1, -1, 1, -30605, -1161228]$ |
\(y^2+xy+y=x^3-x^2-30605x-1161228\) |
2.3.0.a.1, 4.6.0.c.1, 34.6.0.a.1, 60.12.0-4.c.1.2, 68.12.0.g.1, $\ldots$ |
$[(-70, 831)]$ |
49725.e4 |
49725j3 |
49725.e |
49725j |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{14} \cdot 5^{14} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$4.037580738$ |
$1$ |
|
$2$ |
$786432$ |
$2.288185$ |
$210751100351/566398828125$ |
$0.99333$ |
$4.69430$ |
$[1, -1, 1, 27895, 122186022]$ |
\(y^2+xy+y=x^3-x^2+27895x+122186022\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[(1163, 40971)]$ |
49725.f1 |
49725i6 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{22} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$53040$ |
$192$ |
$1$ |
$2.750552988$ |
$1$ |
|
$4$ |
$1048576$ |
$2.509182$ |
$908031902324522977/161726530797$ |
$0.99284$ |
$5.32615$ |
$[1, -1, 1, -4539155, 3722855222]$ |
\(y^2+xy+y=x^3-x^2-4539155x+3722855222\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 26.6.0.b.1, $\ldots$ |
$[(1249, 225)]$ |
49725.f2 |
49725i4 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{14} \cdot 5^{6} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$26520$ |
$192$ |
$1$ |
$1.375276494$ |
$1$ |
|
$12$ |
$524288$ |
$2.162609$ |
$296380748763217/92608836489$ |
$0.96390$ |
$4.58385$ |
$[1, -1, 1, -312530, 45691472]$ |
\(y^2+xy+y=x^3-x^2-312530x+45691472\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 60.24.0-4.b.1.1, $\ldots$ |
$[(484, 2520)]$ |
49725.f3 |
49725i2 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{6} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$26520$ |
$192$ |
$1$ |
$2.750552988$ |
$1$ |
|
$8$ |
$262144$ |
$1.816034$ |
$17806161424897/668584449$ |
$0.93643$ |
$4.32381$ |
$[1, -1, 1, -122405, -15909028]$ |
\(y^2+xy+y=x^3-x^2-122405x-15909028\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 60.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ |
$[(-222, 646)]$ |
49725.f4 |
49725i1 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$53040$ |
$192$ |
$1$ |
$5.501105976$ |
$1$ |
|
$3$ |
$131072$ |
$1.469460$ |
$17319700013617/25857$ |
$0.93528$ |
$4.32125$ |
$[1, -1, 1, -121280, -16226278]$ |
\(y^2+xy+y=x^3-x^2-121280x-16226278\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[(1024, 30025)]$ |
49725.f5 |
49725i3 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{8} \cdot 5^{6} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$53040$ |
$192$ |
$1$ |
$5.501105976$ |
$1$ |
|
$2$ |
$524288$ |
$2.162609$ |
$1193377118543/124806800313$ |
$1.00139$ |
$4.55394$ |
$[1, -1, 1, 49720, -57219028]$ |
\(y^2+xy+y=x^3-x^2+49720x-57219028\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 60.12.0-4.c.1.2, 68.12.0.h.1, $\ldots$ |
$[(453, 7396)]$ |
49725.f6 |
49725i5 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$53040$ |
$192$ |
$1$ |
$2.750552988$ |
$1$ |
|
$4$ |
$1048576$ |
$2.509182$ |
$6439735268725823/7345472585373$ |
$0.98854$ |
$4.86853$ |
$[1, -1, 1, 872095, 308678222]$ |
\(y^2+xy+y=x^3-x^2+872095x+308678222\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 52.12.0.h.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(-245, 9081)]$ |
49725.g1 |
49725s2 |
49725.g |
49725s |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{6} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$614400$ |
$2.109200$ |
$177930109857804849/634933$ |
$1.28788$ |
$5.17543$ |
$[1, -1, 1, -2636480, -1647065978]$ |
\(y^2+xy+y=x^3-x^2-2636480x-1647065978\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
49725.g2 |
49725s1 |
49725.g |
49725s |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{6} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$307200$ |
$1.762625$ |
$43499078731809/82055753$ |
$1.09179$ |
$4.40641$ |
$[1, -1, 1, -164855, -25679978]$ |
\(y^2+xy+y=x^3-x^2-164855x-25679978\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
49725.h1 |
49725m1 |
49725.h |
49725m |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$8840$ |
$48$ |
$0$ |
$2.413841610$ |
$1$ |
|
$5$ |
$61440$ |
$1.040283$ |
$887503681/89505$ |
$0.91820$ |
$3.40774$ |
$[1, -1, 1, -4505, 106872]$ |
\(y^2+xy+y=x^3-x^2-4505x+106872\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 1768.12.0.?, 2210.6.0.?, $\ldots$ |
$[(54, 110)]$ |
49725.h2 |
49725m2 |
49725.h |
49725m |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{8} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$8840$ |
$48$ |
$0$ |
$1.206920805$ |
$1$ |
|
$6$ |
$122880$ |
$1.386858$ |
$1723683599/10989225$ |
$0.85519$ |
$3.68220$ |
$[1, -1, 1, 5620, 511872]$ |
\(y^2+xy+y=x^3-x^2+5620x+511872\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1768.12.0.?, 4420.12.0.?, $\ldots$ |
$[(24, 800)]$ |
49725.i1 |
49725q2 |
49725.i |
49725q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{14} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$1.483921$ |
$104154702625/24649677$ |
$0.90385$ |
$3.84838$ |
$[1, -1, 1, -22055, -963678]$ |
\(y^2+xy+y=x^3-x^2-22055x-963678\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
49725.i2 |
49725q1 |
49725.i |
49725q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.137348$ |
$3981876625/232713$ |
$0.86491$ |
$3.54655$ |
$[1, -1, 1, -7430, 235572]$ |
\(y^2+xy+y=x^3-x^2-7430x+235572\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
49725.j1 |
49725r1 |
49725.j |
49725r |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{11} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$614400$ |
$2.150528$ |
$329379602649536529/690625$ |
$1.00326$ |
$5.23238$ |
$[1, -1, 1, -3237230, 2242668772]$ |
\(y^2+xy+y=x^3-x^2-3237230x+2242668772\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$ |
$[]$ |
49725.j2 |
49725r2 |
49725.j |
49725r |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{6} \cdot 5^{16} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1228800$ |
$2.497105$ |
$-329036324603513409/476962890625$ |
$0.97430$ |
$5.23251$ |
$[1, -1, 1, -3236105, 2244304522]$ |
\(y^2+xy+y=x^3-x^2-3236105x+2244304522\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$ |
$[]$ |
49725.k1 |
49725f4 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{7} \cdot 5^{7} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.758980$ |
$126574061279329/16286595$ |
$0.90554$ |
$4.50518$ |
$[1, -1, 1, -235355, 44001272]$ |
\(y^2+xy+y=x^3-x^2-235355x+44001272\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 156.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
49725.k2 |
49725f2 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13260$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$172032$ |
$1.412407$ |
$39616946929/10989225$ |
$0.84706$ |
$3.75900$ |
$[1, -1, 1, -15980, 565022]$ |
\(y^2+xy+y=x^3-x^2-15980x+565022\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 156.12.0.?, 204.12.0.?, 780.24.0.?, $\ldots$ |
$[]$ |
49725.k3 |
49725f1 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.065832$ |
$1948441249/89505$ |
$0.80465$ |
$3.48046$ |
$[1, -1, 1, -5855, -163978]$ |
\(y^2+xy+y=x^3-x^2-5855x-163978\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 156.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
49725.k4 |
49725f3 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{10} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.758980$ |
$688699320191/910381875$ |
$0.88763$ |
$4.04619$ |
$[1, -1, 1, 41395, 3663272]$ |
\(y^2+xy+y=x^3-x^2+41395x+3663272\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
49725.l1 |
49725a1 |
49725.l |
49725a |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{3} \cdot 5^{13} \cdot 13 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$1.223058612$ |
$1$ |
|
$4$ |
$510720$ |
$2.108925$ |
$-1540318675894272/1442042265625$ |
$0.98091$ |
$4.52047$ |
$[0, 0, 1, -180450, 47736156]$ |
\(y^2+y=x^3-180450x+47736156\) |
6630.2.0.? |
$[(170, 4687)]$ |
49725.m1 |
49725b1 |
49725.m |
49725b |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{9} \cdot 5^{13} \cdot 13 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1532160$ |
$2.658234$ |
$-1540318675894272/1442042265625$ |
$0.98091$ |
$5.13000$ |
$[0, 0, 1, -1624050, -1288876219]$ |
\(y^2+y=x^3-1624050x-1288876219\) |
6630.2.0.? |
$[]$ |
49725.n1 |
49725g1 |
49725.n |
49725g |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$0.439744483$ |
$1$ |
|
$4$ |
$32256$ |
$0.752584$ |
$-16777216/3315$ |
$0.84101$ |
$3.06795$ |
$[0, 0, 1, -1200, 18531]$ |
\(y^2+y=x^3-1200x+18531\) |
6630.2.0.? |
$[(5, 112)]$ |
49725.o1 |
49725n1 |
49725.o |
49725n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{11} \cdot 5^{11} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$2.056282$ |
$-30558612127744/28361896875$ |
$0.94057$ |
$4.46225$ |
$[0, 0, 1, -146550, -34844094]$ |
\(y^2+y=x^3-146550x-34844094\) |
6630.2.0.? |
$[]$ |
49725.p1 |
49725y1 |
49725.p |
49725y |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.561025594$ |
$1$ |
|
$4$ |
$14400$ |
$0.461414$ |
$6553600/3757$ |
$0.94305$ |
$2.65621$ |
$[0, 0, 1, -300, -194]$ |
\(y^2+y=x^3-300x-194\) |
26.2.0.a.1 |
$[(-10, 42)]$ |
49725.q1 |
49725w1 |
49725.q |
49725w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{8} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.784443638$ |
$1$ |
|
$8$ |
$67200$ |
$1.115454$ |
$283115520/3757$ |
$0.91353$ |
$3.59974$ |
$[0, 0, 1, -9000, -324844]$ |
\(y^2+y=x^3-9000x-324844\) |
26.2.0.a.1 |
$[(-50, 12), (250, 3612)]$ |
49725.r1 |
49725l1 |
49725.r |
49725l |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.073080132$ |
$1$ |
|
$2$ |
$13440$ |
$0.310734$ |
$283115520/3757$ |
$0.91353$ |
$2.70679$ |
$[0, 0, 1, -360, -2599]$ |
\(y^2+y=x^3-360x-2599\) |
26.2.0.a.1 |
$[(-11, 5)]$ |
49725.s1 |
49725e1 |
49725.s |
49725e |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72000$ |
$1.266132$ |
$6553600/3757$ |
$0.94305$ |
$3.54916$ |
$[0, 0, 1, -7500, -24219]$ |
\(y^2+y=x^3-7500x-24219\) |
26.2.0.a.1 |
$[]$ |
49725.t1 |
49725c2 |
49725.t |
49725c |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.694973$ |
$43132764843/12138425$ |
$0.92823$ |
$4.07163$ |
$[1, -1, 0, -49317, -3009034]$ |
\(y^2+xy=x^3-x^2-49317x-3009034\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
49725.t2 |
49725c1 |
49725.t |
49725c |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{9} \cdot 5^{7} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.348398$ |
$188132517/244205$ |
$0.88378$ |
$3.58918$ |
$[1, -1, 0, 8058, -312409]$ |
\(y^2+xy=x^3-x^2+8058x-312409\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
49725.u1 |
49725h4 |
49725.u |
49725h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{9} \cdot 5^{10} \cdot 13^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$40.67110864$ |
$1$ |
|
$0$ |
$46006272$ |
$4.265610$ |
$1968666709544018637994033129/113621848881699526875$ |
$1.02739$ |
$7.31399$ |
$[1, -1, 0, -5874875667, -173308871903634]$ |
\(y^2+xy=x^3-x^2-5874875667x-173308871903634\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-30722998114525466961/26298470, -855591844237453800603920403/26298470)]$ |
49725.u2 |
49725h3 |
49725.u |
49725h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{18} \cdot 5^{10} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$10.16777716$ |
$1$ |
|
$0$ |
$46006272$ |
$4.265610$ |
$70141892778055497175333129/5090453819946781723125$ |
$1.02034$ |
$7.00564$ |
$[1, -1, 0, -1933156917, 30595571065116]$ |
\(y^2+xy=x^3-x^2-1933156917x+30595571065116\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(812904/11, 5628568278/11)]$ |
49725.u3 |
49725h2 |
49725.u |
49725h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{12} \cdot 5^{14} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$20.33555432$ |
$1$ |
|
$2$ |
$23003136$ |
$3.919037$ |
$568832774079017834683129/114800389711906640625$ |
$1.00981$ |
$6.56043$ |
$[1, -1, 0, -388391292, -2377451200509]$ |
\(y^2+xy=x^3-x^2-388391292x-2377451200509\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[(-7997781006/1045, 314978785603407/1045)]$ |
49725.u4 |
49725h1 |
49725.u |
49725h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{9} \cdot 5^{22} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$40.67110864$ |
$1$ |
|
$1$ |
$11501568$ |
$3.572464$ |
$1292603583867446566871/2615843353271484375$ |
$1.00195$ |
$6.08218$ |
$[1, -1, 0, 51061833, -221933622384]$ |
\(y^2+xy=x^3-x^2+51061833x-221933622384\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 78.6.0.?, $\ldots$ |
$[(5582809823036164464/5441315, 13185082075912966942509642432/5441315)]$ |
49725.v1 |
49725p2 |
49725.v |
49725p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{18} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.830769$ |
$3885442650361/1996623837$ |
$0.95822$ |
$4.18305$ |
$[1, -1, 0, -73692, 2595591]$ |
\(y^2+xy=x^3-x^2-73692x+2595591\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
49725.v2 |
49725p1 |
49725.v |
49725p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{12} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.484196$ |
$2000852317801/2094417$ |
$0.91984$ |
$4.12168$ |
$[1, -1, 0, -59067, 5535216]$ |
\(y^2+xy=x^3-x^2-59067x+5535216\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
49725.w1 |
49725o1 |
49725.w |
49725o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$73728$ |
$1.041006$ |
$23320116793/2873$ |
$0.88144$ |
$3.71000$ |
$[1, -1, 0, -13392, -593109]$ |
\(y^2+xy=x^3-x^2-13392x-593109\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 120.12.0.?, $\ldots$ |
$[]$ |
49725.w2 |
49725o2 |
49725.w |
49725o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{6} \cdot 5^{6} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$1.387581$ |
$-17923019113/8254129$ |
$0.89092$ |
$3.73979$ |
$[1, -1, 0, -12267, -697734]$ |
\(y^2+xy=x^3-x^2-12267x-697734\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 120.12.0.?, 1768.24.0.?, $\ldots$ |
$[]$ |
49725.x1 |
49725x1 |
49725.x |
49725x |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{4} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$0.897547$ |
$1600000000/634933$ |
$1.01772$ |
$3.16459$ |
$[0, 0, 1, -1875, -17519]$ |
\(y^2+y=x^3-1875x-17519\) |
26.2.0.a.1 |
$[]$ |
49725.y1 |
49725t1 |
49725.y |
49725t |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$0.769306$ |
$57409966080/1085773$ |
$0.88162$ |
$3.19800$ |
$[0, 0, 1, -2115, 36821]$ |
\(y^2+y=x^3-2115x+36821\) |
26.2.0.a.1 |
$[]$ |
49725.z1 |
49725u1 |
49725.z |
49725u |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{9} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$8.458543472$ |
$1$ |
|
$0$ |
$241920$ |
$1.412558$ |
$122023936/112047$ |
$0.81134$ |
$3.67074$ |
$[0, 0, 1, 11625, 369531]$ |
\(y^2+y=x^3+11625x+369531\) |
6630.2.0.? |
$[(106025/26, 43226087/26)]$ |