Elliptic curves over Q\Q of conductor 1728

Results (44 matches)

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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
1728.a1	1728l1	1728.a	1728l	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$1152$	$0.528284$	$-3072$	$0.94639$	$4.05987$	$[0, 0, 0, -432, -4320]$	$y^2=x^3-432x-4320$	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$
1728.b1	1728u1	1728.b	1728u	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$1152$	$0.528284$	$-3072$	$0.94639$	$4.05987$	$[0, 0, 0, -432, 4320]$	$y^2=x^3-432x+4320$	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$
1728.c1	1728e3	1728.c	1728e	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{27} \cdot 3^{11}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.4	3B	$72$	$144$	$3$	$2.543458324$	$1$		$2$	$3456$	$1.273823$	$-1167051/512$	$1.04966$	$5.24441$	$[0, 0, 0, -7884, -357264]$	$y^2=x^3-7884x-357264$	3.4.0.a.1, 6.8.0-3.a.1.1, 9.36.0.d.1, 18.72.0-9.d.1.1, 24.16.0-24.d.1.2, $\ldots$	$[(430, 8704)]$
1728.c2	1728e1	1728.c	1728e	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{19} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.5	3B	$72$	$144$	$3$	$0.282606480$	$1$		$4$	$384$	$0.175210$	$-132651/2$	$1.09453$	$3.70150$	$[0, 0, 0, -204, 1136]$	$y^2=x^3-204x+1136$	3.4.0.a.1, 6.8.0-3.a.1.2, 9.36.0.d.2, 18.72.0-9.d.2.2, 24.16.0-24.d.1.1, $\ldots$	$[(14, 32)]$
1728.c3	1728e2	1728.c	1728e	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{21} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.1	3Cs	$72$	$144$	$3$	$0.847819441$	$1$		$4$	$1152$	$0.724516$	$9261/8$	$1.19875$	$4.22521$	$[0, 0, 0, 756, 5616]$	$y^2=x^3+756x+5616$	3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.a.1, 18.72.0-9.a.1.2, 24.48.1-24.ci.1.3, $\ldots$	$[(-2, 64)]$
1728.d1	1728bb3	1728.d	1728bb	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{27} \cdot 3^{11}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.4	3B	$72$	$144$	$3$	$1.015681695$	$1$		$4$	$3456$	$1.273823$	$-1167051/512$	$1.04966$	$5.24441$	$[0, 0, 0, -7884, 357264]$	$y^2=x^3-7884x+357264$	3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.3, 24.16.0-24.d.1.5, 36.72.0-9.d.1.3, $\ldots$	$[(82, 512)]$
1728.d2	1728bb1	1728.d	1728bb	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{19} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.5	3B	$72$	$144$	$3$	$1.015681695$	$1$		$4$	$384$	$0.175210$	$-132651/2$	$1.09453$	$3.70150$	$[0, 0, 0, -204, -1136]$	$y^2=x^3-204x-1136$	3.4.0.a.1, 9.36.0.d.2, 12.8.0-3.a.1.4, 24.16.0-24.d.1.6, 36.72.0-9.d.2.3, $\ldots$	$[(18, 32)]$
1728.d3	1728bb2	1728.d	1728bb	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{21} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.1	3Cs	$72$	$144$	$3$	$0.338560565$	$1$		$4$	$1152$	$0.724516$	$9261/8$	$1.19875$	$4.22521$	$[0, 0, 0, 756, -5616]$	$y^2=x^3+756x-5616$	3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.2, 24.48.1-24.ci.1.2, 36.72.0-9.a.1.3, $\ldots$	$[(66, 576)]$
1728.e1	1728ba1	1728.e	1728ba	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$24$	$24$	$1$	$0.555032222$	$1$		$2$	$96$	$-0.629178$	$-13824$	$1.22629$	$2.29474$	$[0, 0, 0, -6, 6]$	$y^2=x^3-6x+6$	3.3.0.a.1, 6.6.1.b.1, 12.12.1.g.1, 24.24.1-12.g.1.1	$[(1, 1)]$
1728.f1	1728d1	1728.f	1728d	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{11}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$2.021940563$	$1$		$2$	$288$	$0.042505$	$1536$	$1.22629$	$3.16317$	$[0, 0, 0, 54, -54]$	$y^2=x^3+54x-54$	6.2.0.a.1	$[(1, 1)]$
1728.g1	1728i1	1728.g	1728i	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$288$	$0.042505$	$1536$	$1.22629$	$3.16317$	$[0, 0, 0, 54, 54]$	$y^2=x^3+54x+54$	6.2.0.a.1	$[]$
1728.h1	1728r1	1728.h	1728r	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$24$	$24$	$1$	$1$	$1$		$0$	$96$	$-0.629178$	$-13824$	$1.22629$	$2.29474$	$[0, 0, 0, -6, -6]$	$y^2=x^3-6x-6$	3.3.0.a.1, 6.6.1.b.1, 12.12.1.g.1, 24.24.1-12.g.1.1	$[]$
1728.i1	1728p1	1728.i	1728p	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{17} \cdot 3^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.668368$	$-6$	$1.22518$	$4.20223$	$[0, 0, 0, -108, -7344]$	$y^2=x^3-108x-7344$	24.2.0.b.1	$[]$
1728.j1	1728o1	1728.j	1728o	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{15} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.9.0.1	3Nn	$72$	$36$	$3$	$1$	$1$		$0$	$576$	$0.375104$	$-216$	$1.22629$	$3.73686$	$[0, 0, 0, -108, -1296]$	$y^2=x^3-108x-1296$	3.3.0.a.1, 9.9.0.a.1, 12.6.0.d.1, 24.12.1.bi.1, 36.18.0.a.1, $\ldots$	$[]$
1728.k1	1728y1	1728.k	1728y	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{15} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.9.0.1	3Nn	$72$	$36$	$3$	$0.170724129$	$1$		$8$	$576$	$0.375104$	$-216$	$1.22629$	$3.73686$	$[0, 0, 0, -108, 1296]$	$y^2=x^3-108x+1296$	3.3.0.a.1, 9.9.0.a.1, 12.6.0.d.1, 24.12.1.bi.1, 36.18.0.a.1, $\ldots$	$[(18, 72)]$
1728.l1	1728g1	1728.l	1728g	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{17} \cdot 3^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.668368$	$-6$	$1.22518$	$4.20223$	$[0, 0, 0, -108, 7344]$	$y^2=x^3-108x+7344$	24.2.0.b.1	$[]$
1728.m1	1728m1	1728.m	1728m	$2$	$3$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$192$	$-0.237793$	$0$		$2.74385$	$[0, 0, 0, 0, -32]$	$y^2=x^3-32$		$[]$
1728.m2	1728m2	1728.m	1728m	$2$	$3$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$576$	$0.311513$	$0$		$3.62808$	$[0, 0, 0, 0, 864]$	$y^2=x^3+864$		$[]$
1728.n1	1728a4	1728.n	1728a	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{11}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓							$6.791192128$	$1$		$2$	$432$	$0.398722$	$-12288000$	$1.23864$	$4.36876$	$[0, 0, 0, -1080, -13662]$	$y^2=x^3-1080x-13662$		$[(871, 25687)]$
1728.n2	1728a3	1728.n	1728a	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{5}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓							$0.251525634$	$1$		$4$	$144$	$-0.150585$	$-12288000$	$1.23864$	$3.48453$	$[0, 0, 0, -120, 506]$	$y^2=x^3-120x+506$		$[(7, 3)]$
1728.n3	1728a2	1728.n	1728a	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.972.55.16	3Cs				$2.263730709$	$1$		$2$	$144$	$-0.150585$	$0$		$2.88423$	$[0, 0, 0, 0, -54]$	$y^2=x^3-54$		$[(7, 17)]$
1728.n4	1728a1	1728.n	1728a	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.972.55.16	3Cs				$0.754576903$	$1$		$2$	$48$	$-0.699891$	$0$		$2.00000$	$[0, 0, 0, 0, 2]$	$y^2=x^3+2$		$[(-1, 1)]$
1728.o1	1728v4	1728.o	1728v	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{11}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓							$1.349576835$	$1$		$2$	$432$	$0.398722$	$-12288000$	$1.23864$	$4.36876$	$[0, 0, 0, -1080, 13662]$	$y^2=x^3-1080x+13662$		$[(19, 1)]$
1728.o2	1728v2	1728.o	1728v	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{5}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-27$	$N(\mathrm{U}(1))$		✓							$4.048730507$	$1$		$2$	$144$	$-0.150585$	$-12288000$	$1.23864$	$3.48453$	$[0, 0, 0, -120, -506]$	$y^2=x^3-120x-506$		$[(51, 355)]$
1728.o3	1728v1	1728.o	1728v	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.972.55.16	3Cs				$1.349576835$	$1$		$2$	$48$	$-0.699891$	$0$		$2.00000$	$[0, 0, 0, 0, -2]$	$y^2=x^3-2$		$[(3, 5)]$
1728.o4	1728v3	1728.o	1728v	$4$	$27$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.972.55.16	3Cs				$0.449858945$	$1$		$2$	$144$	$-0.150585$	$0$		$2.88423$	$[0, 0, 0, 0, 54]$	$y^2=x^3+54$		$[(3, 9)]$
1728.p1	1728f2	1728.p	1728f	$2$	$3$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$576$	$0.311513$	$0$		$3.62808$	$[0, 0, 0, 0, -864]$	$y^2=x^3-864$		$[]$
1728.p2	1728f1	1728.p	1728f	$2$	$3$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$192$	$-0.237793$	$0$		$2.74385$	$[0, 0, 0, 0, 32]$	$y^2=x^3+32$		$[]$
1728.q1	1728w1	1728.q	1728w	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{15} \cdot 3^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.9.0.1	3Nn	$72$	$36$	$3$	$0.292341859$	$1$		$4$	$192$	$-0.174202$	$-216$	$1.22629$	$2.85263$	$[0, 0, 0, -12, 48]$	$y^2=x^3-12x+48$	3.3.0.a.1, 9.9.0.a.1, 12.6.0.d.1, 24.12.1.bi.1, 36.18.0.a.1, $\ldots$	$[(-2, 8)]$
1728.r1	1728x1	1728.r	1728x	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{17} \cdot 3^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$0.425874033$	$1$		$4$	$384$	$0.119062$	$-6$	$1.22518$	$3.31800$	$[0, 0, 0, -12, 272]$	$y^2=x^3-12x+272$	24.2.0.b.1	$[(2, 16)]$
1728.s1	1728b1	1728.s	1728b	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{17} \cdot 3^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$0.278107440$	$1$		$6$	$384$	$0.119062$	$-6$	$1.22518$	$3.31800$	$[0, 0, 0, -12, -272]$	$y^2=x^3-12x-272$	24.2.0.b.1	$[(14, 48)]$
1728.t1	1728n1	1728.t	1728n	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{15} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.9.0.1	3Nn	$72$	$36$	$3$	$1$	$1$		$0$	$192$	$-0.174202$	$-216$	$1.22629$	$2.85263$	$[0, 0, 0, -12, -48]$	$y^2=x^3-12x-48$	3.3.0.a.1, 9.9.0.a.1, 12.6.0.d.1, 24.12.1.bi.1, 36.18.0.a.1, $\ldots$	$[]$
1728.u1	1728z1	1728.u	1728z	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$24$	$24$	$1$	$1.122850992$	$1$		$2$	$288$	$-0.079872$	$-13824$	$1.22629$	$3.17897$	$[0, 0, 0, -54, -162]$	$y^2=x^3-54x-162$	3.3.0.a.1, 6.6.1.b.1, 12.12.1.g.1, 24.24.1-12.g.1.1	$[(9, 9)]$
1728.v1	1728c1	1728.v	1728c	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{5}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.415853478$	$1$		$4$	$96$	$-0.506801$	$1536$	$1.22629$	$2.27894$	$[0, 0, 0, 6, 2]$	$y^2=x^3+6x+2$	6.2.0.a.1	$[(1, 3)]$
1728.w1	1728h1	1728.w	1728h	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$96$	$-0.506801$	$1536$	$1.22629$	$2.27894$	$[0, 0, 0, 6, -2]$	$y^2=x^3+6x-2$	6.2.0.a.1	$[]$
1728.x1	1728q1	1728.x	1728q	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{6} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	3.3.0.1	3Nn	$24$	$24$	$1$	$1$	$1$		$0$	$288$	$-0.079872$	$-13824$	$1.22629$	$3.17897$	$[0, 0, 0, -54, 162]$	$y^2=x^3-54x+162$	3.3.0.a.1, 6.6.1.b.1, 12.12.1.g.1, 24.24.1-12.g.1.1	$[]$
1728.y1	1728j2	1728.y	1728j	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{19} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.5	3B	$72$	$144$	$3$	$1$	$1$		$0$	$1152$	$0.724516$	$-132651/2$	$1.09453$	$4.58573$	$[0, 0, 0, -1836, -30672]$	$y^2=x^3-1836x-30672$	3.4.0.a.1, 6.8.0-3.a.1.1, 9.36.0.d.2, 18.72.0-9.d.2.1, 24.16.0-24.d.1.2, $\ldots$	$[]$
1728.y2	1728j3	1728.y	1728j	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{27} \cdot 3^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.4	3B	$72$	$144$	$3$	$1$	$1$		$0$	$1152$	$0.724516$	$-1167051/512$	$1.04966$	$4.36018$	$[0, 0, 0, -876, 13232]$	$y^2=x^3-876x+13232$	3.4.0.a.1, 6.8.0-3.a.1.2, 9.36.0.d.1, 18.72.0-9.d.1.2, 24.16.0-24.d.1.1, $\ldots$	$[]$
1728.y3	1728j1	1728.y	1728j	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{21} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.1	3Cs	$72$	$144$	$3$	$1$	$1$		$0$	$384$	$0.175210$	$9261/8$	$1.19875$	$3.34098$	$[0, 0, 0, 84, -208]$	$y^2=x^3+84x-208$	3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.a.1, 18.72.0-9.a.1.1, 24.48.1-24.ci.1.3, $\ldots$	$[]$
1728.z1	1728s3	1728.z	1728s	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{19} \cdot 3^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.5	3B	$72$	$144$	$3$	$1$	$1$		$0$	$1152$	$0.724516$	$-132651/2$	$1.09453$	$4.58573$	$[0, 0, 0, -1836, 30672]$	$y^2=x^3-1836x+30672$	3.4.0.a.1, 9.36.0.d.2, 12.8.0-3.a.1.3, 24.16.0-24.d.1.5, 36.72.0-9.d.2.4, $\ldots$	$[]$
1728.z2	1728s2	1728.z	1728s	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{27} \cdot 3^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.4	3B	$72$	$144$	$3$	$1$	$1$		$0$	$1152$	$0.724516$	$-1167051/512$	$1.04966$	$4.36018$	$[0, 0, 0, -876, -13232]$	$y^2=x^3-876x-13232$	3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.4, 24.16.0-24.d.1.6, 36.72.0-9.d.1.4, $\ldots$	$[]$
1728.z3	1728s1	1728.z	1728s	$3$	$9$	$2^{6} \cdot 3^{3}$	$- 2^{21} \cdot 3^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.1	3Cs	$72$	$144$	$3$	$1$	$1$		$0$	$384$	$0.175210$	$9261/8$	$1.19875$	$3.34098$	$[0, 0, 0, 84, 208]$	$y^2=x^3+84x+208$	3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.2, 24.48.1-24.ci.1.2, 36.72.0-9.a.1.4, $\ldots$	$[]$
1728.ba1	1728k1	1728.ba	1728k	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$384$	$-0.021022$	$-3072$	$0.94639$	$3.17564$	$[0, 0, 0, -48, 160]$	$y^2=x^3-48x+160$	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$
1728.bb1	1728t1	1728.bb	1728t	$1$	$1$	$2^{6} \cdot 3^{3}$	$- 2^{14} \cdot 3^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$384$	$-0.021022$	$-3072$	$0.94639$	$3.17564$	$[0, 0, 0, -48, -160]$	$y^2=x^3-48x-160$	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$

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