| 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 |
| 14112.a1 |
14112be1 |
14112.a |
14112be |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.727491506$ |
$1$ |
|
$6$ |
$7680$ |
$0.346012$ |
$3584/3$ |
$0.82184$ |
$2.82429$ |
$[0, 0, 0, 168, -560]$ |
\(y^2=x^3+168x-560\) |
6.2.0.a.1 |
$[(8, 36)]$ |
| 14112.b1 |
14112bc2 |
14112.b |
14112bc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.335840146$ |
$1$ |
|
$5$ |
$368640$ |
$2.330917$ |
$92100460096/20253807$ |
$1.03479$ |
$5.42462$ |
$[0, 0, 0, -663852, -163926560]$ |
\(y^2=x^3-663852x-163926560\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(-574, 5292)]$ |
| 14112.b2 |
14112bc1 |
14112.b |
14112bc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$4.671680292$ |
$1$ |
|
$3$ |
$184320$ |
$1.984343$ |
$15926924096/28588707$ |
$1.04804$ |
$4.88343$ |
$[0, 0, 0, 92463, -15688820]$ |
\(y^2=x^3+92463x-15688820\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(221, 3942)]$ |
| 14112.c1 |
14112ch2 |
14112.c |
14112ch |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.525384915$ |
$1$ |
|
$27$ |
$8192$ |
$0.418398$ |
$1728$ |
|
$2.95160$ |
$[0, 0, 0, -252, 0]$ |
\(y^2=x^3-252x\) |
|
$[(-6, 36), (18, 36)]$ |
| 14112.c2 |
14112ch1 |
14112.c |
14112ch |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.101539663$ |
$1$ |
|
$13$ |
$4096$ |
$0.071824$ |
$1728$ |
|
$2.51633$ |
$[0, 0, 0, 63, 0]$ |
\(y^2=x^3+63x\) |
|
$[(7, 28), (1, 8)]$ |
| 14112.d1 |
14112bn2 |
14112.d |
14112bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.789473324$ |
$1$ |
|
$5$ |
$36864$ |
$1.179529$ |
$1728$ |
|
$3.90752$ |
$[0, 0, 0, -5292, 0]$ |
\(y^2=x^3-5292x\) |
|
$[(-27, 351)]$ |
| 14112.d2 |
14112bn1 |
14112.d |
14112bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.394736662$ |
$1$ |
|
$5$ |
$18432$ |
$0.832955$ |
$1728$ |
|
$3.47225$ |
$[0, 0, 0, 1323, 0]$ |
\(y^2=x^3+1323x\) |
|
$[(7, 98)]$ |
| 14112.e1 |
14112ci2 |
14112.e |
14112ci |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.330917$ |
$92100460096/20253807$ |
$1.03479$ |
$5.42462$ |
$[0, 0, 0, -663852, 163926560]$ |
\(y^2=x^3-663852x+163926560\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
| 14112.e2 |
14112ci1 |
14112.e |
14112ci |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{11} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.984343$ |
$15926924096/28588707$ |
$1.04804$ |
$4.88343$ |
$[0, 0, 0, 92463, 15688820]$ |
\(y^2=x^3+92463x+15688820\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[ ]$ |
| 14112.f1 |
14112bd1 |
14112.f |
14112bd |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.408867756$ |
$1$ |
|
$6$ |
$7680$ |
$0.346012$ |
$3584/3$ |
$0.82184$ |
$2.82429$ |
$[0, 0, 0, 168, 560]$ |
\(y^2=x^3+168x+560\) |
6.2.0.a.1 |
$[(4, 36)]$ |
| 14112.g1 |
14112bm1 |
14112.g |
14112bm |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$0.447968261$ |
$1$ |
|
$6$ |
$1920$ |
$-0.192376$ |
$1512$ |
$0.78795$ |
$2.17139$ |
$[0, 0, 0, 21, 14]$ |
\(y^2=x^3+21x+14\) |
24.2.0.b.1 |
$[(1, 6)]$ |
| 14112.h1 |
14112b1 |
14112.h |
14112b |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$1.603279108$ |
$1$ |
|
$2$ |
$40320$ |
$1.329885$ |
$1512$ |
$0.78795$ |
$4.08322$ |
$[0, 0, 0, 9261, -129654]$ |
\(y^2=x^3+9261x-129654\) |
24.2.0.b.1 |
$[(294, 5292)]$ |
| 14112.i1 |
14112bs1 |
14112.i |
14112bs |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.445950384$ |
$1$ |
|
$6$ |
$48384$ |
$1.441488$ |
$-1668296/27$ |
$0.92232$ |
$4.47443$ |
$[0, 0, 0, -31899, 2223326]$ |
\(y^2=x^3-31899x+2223326\) |
24.2.0.b.1 |
$[(49, 882)]$ |
| 14112.j1 |
14112br1 |
14112.j |
14112br |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$4.793277597$ |
$1$ |
|
$2$ |
$48384$ |
$1.441488$ |
$-1668296/27$ |
$0.92232$ |
$4.47443$ |
$[0, 0, 0, -31899, -2223326]$ |
\(y^2=x^3-31899x-2223326\) |
24.2.0.b.1 |
$[(722, 18738)]$ |
| 14112.k1 |
14112bl1 |
14112.k |
14112bl |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$1.171754814$ |
$1$ |
|
$2$ |
$1920$ |
$-0.192376$ |
$1512$ |
$0.78795$ |
$2.17139$ |
$[0, 0, 0, 21, -14]$ |
\(y^2=x^3+21x-14\) |
24.2.0.b.1 |
$[(2, 6)]$ |
| 14112.l1 |
14112a1 |
14112.l |
14112a |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$24$ |
$2$ |
$0$ |
$2.571652969$ |
$1$ |
|
$2$ |
$40320$ |
$1.329885$ |
$1512$ |
$0.78795$ |
$4.08322$ |
$[0, 0, 0, 9261, 129654]$ |
\(y^2=x^3+9261x+129654\) |
24.2.0.b.1 |
$[(57, 918)]$ |
| 14112.m1 |
14112bb3 |
14112.m |
14112bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$5.061769392$ |
$1$ |
|
$1$ |
$49152$ |
$1.463629$ |
$2438569736/21$ |
$0.97593$ |
$4.82692$ |
$[0, 0, 0, -98931, 11976874]$ |
\(y^2=x^3-98931x+11976874\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[(953/2, 11115/2)]$ |
| 14112.m2 |
14112bb2 |
14112.m |
14112bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1.265442348$ |
$1$ |
|
$5$ |
$49152$ |
$1.463629$ |
$3241792/567$ |
$0.96732$ |
$4.35139$ |
$[0, 0, 0, -21756, -1031744]$ |
\(y^2=x^3-21756x-1031744\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(-91, 441)]$ |
| 14112.m3 |
14112bb1 |
14112.m |
14112bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.530884696$ |
$1$ |
|
$7$ |
$24576$ |
$1.117054$ |
$5088448/441$ |
$0.96662$ |
$3.96330$ |
$[0, 0, 0, -6321, 178360]$ |
\(y^2=x^3-6321x+178360\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 28.12.0.a.1, $\ldots$ |
$[(84, 490)]$ |
| 14112.m4 |
14112bb4 |
14112.m |
14112bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1.265442348$ |
$1$ |
|
$7$ |
$49152$ |
$1.463629$ |
$830584/7203$ |
$0.97109$ |
$4.26733$ |
$[0, 0, 0, 6909, 826630]$ |
\(y^2=x^3+6909x+826630\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 56.24.0-56.ba.1.8, $\ldots$ |
$[(-7, 882)]$ |
| 14112.n1 |
14112cd2 |
14112.n |
14112cd |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.410265$ |
$238328$ |
$0.90798$ |
$3.24959$ |
$[0, 0, 0, -651, -6370]$ |
\(y^2=x^3-651x-6370\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.d.1, $\ldots$ |
$[ ]$ |
| 14112.n2 |
14112cd1 |
14112.n |
14112cd |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.063692$ |
$-64$ |
$0.89152$ |
$2.52014$ |
$[0, 0, 0, -21, -196]$ |
\(y^2=x^3-21x-196\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.e.1, $\ldots$ |
$[ ]$ |
| 14112.o1 |
14112y2 |
14112.o |
14112y |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1.835022158$ |
$1$ |
|
$7$ |
$86016$ |
$1.950422$ |
$1906624/729$ |
$1.01837$ |
$4.90681$ |
$[0, 0, 0, -127596, -10218656]$ |
\(y^2=x^3-127596x-10218656\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[(-94, 972)]$ |
| 14112.o2 |
14112y1 |
14112.o |
14112y |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$3.670044317$ |
$1$ |
|
$5$ |
$43008$ |
$1.603849$ |
$82881856/27$ |
$1.01988$ |
$4.86633$ |
$[0, 0, 0, -112161, -14454020]$ |
\(y^2=x^3-112161x-14454020\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[(-195, 50)]$ |
| 14112.p1 |
14112x2 |
14112.p |
14112x |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.322914441$ |
$1$ |
|
$3$ |
$12288$ |
$0.904876$ |
$287496$ |
$1.17246$ |
$3.88020$ |
$[0, 0, 0, -4851, -129654]$ |
\(y^2=x^3-4851x-129654\) |
|
$[(154, 1666)]$ |
| 14112.p2 |
14112x3 |
14112.p |
14112x |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.830728610$ |
$1$ |
|
$7$ |
$12288$ |
$0.904876$ |
$287496$ |
$1.17246$ |
$3.88020$ |
$[0, 0, 0, -4851, 129654]$ |
\(y^2=x^3-4851x+129654\) |
|
$[(49, 98)]$ |
| 14112.p3 |
14112x1 |
14112.p |
14112x |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$1.661457220$ |
$1$ |
|
$9$ |
$6144$ |
$0.558302$ |
$1728$ |
|
$3.12731$ |
$[0, 0, 0, -441, 0]$ |
\(y^2=x^3-441x\) |
|
$[(-3, 36)]$ |
| 14112.p4 |
14112x4 |
14112.p |
14112x |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$3.322914441$ |
$1$ |
|
$3$ |
$12288$ |
$0.904876$ |
$1728$ |
|
$3.56257$ |
$[0, 0, 0, 1764, 0]$ |
\(y^2=x^3+1764x\) |
|
$[(144, 1800)]$ |
| 14112.q1 |
14112f1 |
14112.q |
14112f |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.319433$ |
$1728$ |
|
$4.08322$ |
$[0, 0, 0, -9261, 0]$ |
\(y^2=x^3-9261x\) |
|
$[ ]$ |
| 14112.q2 |
14112f2 |
14112.q |
14112f |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.666006$ |
$1728$ |
|
$4.51849$ |
$[0, 0, 0, 37044, 0]$ |
\(y^2=x^3+37044x\) |
|
$[ ]$ |
| 14112.r1 |
14112bk1 |
14112.r |
14112bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.872242314$ |
$1$ |
|
$5$ |
$1024$ |
$-0.202829$ |
$1728$ |
|
$2.17139$ |
$[0, 0, 0, -21, 0]$ |
\(y^2=x^3-21x\) |
|
$[(-3, 6)]$ |
| 14112.r2 |
14112bk2 |
14112.r |
14112bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.744484628$ |
$1$ |
|
$5$ |
$2048$ |
$0.143745$ |
$1728$ |
|
$2.60666$ |
$[0, 0, 0, 84, 0]$ |
\(y^2=x^3+84x\) |
|
$[(4, 20)]$ |
| 14112.s1 |
14112cc2 |
14112.s |
14112cc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.950422$ |
$1906624/729$ |
$1.01837$ |
$4.90681$ |
$[0, 0, 0, -127596, 10218656]$ |
\(y^2=x^3-127596x+10218656\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[ ]$ |
| 14112.s2 |
14112cc1 |
14112.s |
14112cc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.603849$ |
$82881856/27$ |
$1.01988$ |
$4.86633$ |
$[0, 0, 0, -112161, 14454020]$ |
\(y^2=x^3-112161x+14454020\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[ ]$ |
| 14112.t1 |
14112z2 |
14112.t |
14112z |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$2.115498326$ |
$1$ |
|
$3$ |
$49152$ |
$1.463629$ |
$2438569736/21$ |
$0.97593$ |
$4.82692$ |
$[0, 0, 0, -98931, -11976874]$ |
\(y^2=x^3-98931x-11976874\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(385, 2646)]$ |
| 14112.t2 |
14112z3 |
14112.t |
14112z |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$2.115498326$ |
$1$ |
|
$5$ |
$49152$ |
$1.463629$ |
$3241792/567$ |
$0.96732$ |
$4.35139$ |
$[0, 0, 0, -21756, 1031744]$ |
\(y^2=x^3-21756x+1031744\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[(4, 972)]$ |
| 14112.t3 |
14112z1 |
14112.t |
14112z |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$4.230996652$ |
$1$ |
|
$5$ |
$24576$ |
$1.117054$ |
$5088448/441$ |
$0.96662$ |
$3.96330$ |
$[0, 0, 0, -6321, -178360]$ |
\(y^2=x^3-6321x-178360\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 28.12.0.a.1, $\ldots$ |
$[(3493, 206388)]$ |
| 14112.t4 |
14112z4 |
14112.t |
14112z |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$8.461993305$ |
$1$ |
|
$1$ |
$49152$ |
$1.463629$ |
$830584/7203$ |
$0.97109$ |
$4.26733$ |
$[0, 0, 0, 6909, -826630]$ |
\(y^2=x^3+6909x-826630\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 56.24.0-56.ba.1.16, $\ldots$ |
$[(13969/2, 1651455/2)]$ |
| 14112.u1 |
14112ba2 |
14112.u |
14112ba |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$2.490532579$ |
$1$ |
|
$3$ |
$6144$ |
$0.410265$ |
$238328$ |
$0.90798$ |
$3.24959$ |
$[0, 0, 0, -651, 6370]$ |
\(y^2=x^3-651x+6370\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.d.1, $\ldots$ |
$[(18, 22)]$ |
| 14112.u2 |
14112ba1 |
14112.u |
14112ba |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.6.0.3, 3.3.0.1 |
2B, 3Nn |
$168$ |
$72$ |
$3$ |
$1.245266289$ |
$1$ |
|
$5$ |
$3072$ |
$0.063692$ |
$-64$ |
$0.89152$ |
$2.52014$ |
$[0, 0, 0, -21, 196]$ |
\(y^2=x^3-21x+196\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 8.6.0.e.1, 12.18.0.e.1, $\ldots$ |
$[(0, 14)]$ |
| 14112.v1 |
14112l1 |
14112.v |
14112l |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{19} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49920$ |
$1.597389$ |
$2731405432/1594323$ |
$1.19582$ |
$4.43147$ |
$[0, 0, 0, 28077, 168266]$ |
\(y^2=x^3+28077x+168266\) |
24.2.0.b.1 |
$[ ]$ |
| 14112.w1 |
14112k1 |
14112.w |
14112k |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{19} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49920$ |
$1.597389$ |
$2731405432/1594323$ |
$1.19582$ |
$4.43147$ |
$[0, 0, 0, 28077, -168266]$ |
\(y^2=x^3+28077x-168266\) |
24.2.0.b.1 |
$[ ]$ |
| 14112.x1 |
14112d2 |
14112.x |
14112d |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.38 |
2B |
$336$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.846966$ |
$474552000/49$ |
$1.07140$ |
$5.21819$ |
$[0, 0, 0, -343980, -77644224]$ |
\(y^2=x^3-343980x-77644224\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 12.12.0.m.1, 16.24.0.m.1, $\ldots$ |
$[ ]$ |
| 14112.x2 |
14112d1 |
14112.x |
14112d |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.31 |
2B |
$336$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.500393$ |
$-5832000/2401$ |
$1.04461$ |
$4.37875$ |
$[0, 0, 0, -19845, -1407672]$ |
\(y^2=x^3-19845x-1407672\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 8.12.0.s.1, 12.12.0.l.1, $\ldots$ |
$[ ]$ |
| 14112.y1 |
14112bi2 |
14112.y |
14112bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.38 |
2B |
$336$ |
$96$ |
$3$ |
$6.533138289$ |
$1$ |
|
$1$ |
$24576$ |
$1.297661$ |
$474552000/49$ |
$1.07140$ |
$4.52830$ |
$[0, 0, 0, -38220, -2875712]$ |
\(y^2=x^3-38220x-2875712\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 12.12.0.m.1, 16.24.0.m.1, $\ldots$ |
$[(-5563/7, 3585/7)]$ |
| 14112.y2 |
14112bi1 |
14112.y |
14112bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.31 |
2B |
$336$ |
$96$ |
$3$ |
$3.266569144$ |
$1$ |
|
$3$ |
$12288$ |
$0.951086$ |
$-5832000/2401$ |
$1.04461$ |
$3.68887$ |
$[0, 0, 0, -2205, -52136]$ |
\(y^2=x^3-2205x-52136\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 8.12.0.s.1, 12.12.0.l.1, $\ldots$ |
$[(231, 3430)]$ |
| 14112.z1 |
14112by2 |
14112.z |
14112by |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.065062$ |
$125000/49$ |
$1.00487$ |
$3.79303$ |
$[0, 0, 0, -3675, 48706]$ |
\(y^2=x^3-3675x+48706\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[ ]$ |
| 14112.z2 |
14112by1 |
14112.z |
14112by |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.718487$ |
$8000/7$ |
$0.98030$ |
$3.28770$ |
$[0, 0, 0, 735, 5488]$ |
\(y^2=x^3+735x+5488\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[ ]$ |
| 14112.ba1 |
14112bw1 |
14112.ba |
14112bw |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.963692$ |
$-3136000/27$ |
$1.00559$ |
$5.16409$ |
$[0, 0, 0, -288120, -59967376]$ |
\(y^2=x^3-288120x-59967376\) |
6.2.0.a.1 |
$[ ]$ |
| 14112.bb1 |
14112o1 |
14112.bb |
14112o |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.698492341$ |
$1$ |
|
$4$ |
$10752$ |
$0.892124$ |
$-448000/2187$ |
$1.01854$ |
$3.56453$ |
$[0, 0, 0, -840, 28784]$ |
\(y^2=x^3-840x+28784\) |
6.2.0.a.1 |
$[(100, 972)]$ |
