Elliptic curves over $\Q$ of conductor 832

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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
832.a1	832j2	832.a	832j	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$0.089317794$	$1$		$8$	$2688$	$1.329515$	$-1064019559329/125497034$	$1.06269$	$6.00182$	$[0, 0, 0, -13612, 670672]$	\(y^2=x^3-13612x+670672\)	7.24.0.a.2, 56.48.0-7.a.2.2, 104.2.0.?, 182.48.0.?, 728.96.2.?	$[(42, 416)]$
832.a2	832j1	832.a	832j	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{25} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$728$	$96$	$2$	$0.625224564$	$1$		$4$	$384$	$0.356560$	$-2146689/1664$	$0.96784$	$4.15031$	$[0, 0, 0, -172, -1328]$	\(y^2=x^3-172x-1328\)	7.24.0.a.1, 56.48.0-7.a.1.2, 104.2.0.?, 182.48.0.?, 728.96.2.?	$[(42, 256)]$
832.b1	832b1	832.b	832b	$1$	$1$	\( 2^{6} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.371453946$	$1$		$6$	$64$	$-0.240840$	$-8/13$	$0.95359$	$3.03655$	$[0, -1, 0, -1, -31]$	\(y^2=x^3-x^2-x-31\)	104.2.0.?	$[(5, 8)]$
832.c1	832e1	832.c	832e	$1$	$1$	\( 2^{6} \cdot 13 \)	\( - 2^{17} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$128$	$-0.046458$	$-235298/13$	$0.96559$	$3.60558$	$[0, -1, 0, -65, -191]$	\(y^2=x^3-x^2-65x-191\)	104.2.0.?	$[]$
832.d1	832c3	832.d	832c	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{27} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$936$	$144$	$3$	$2.977948821$	$1$		$2$	$1152$	$1.094107$	$-10730978619193/6656$	$1.02193$	$6.31795$	$[0, -1, 0, -29409, -1931423]$	\(y^2=x^3-x^2-29409x-1931423\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.1, 72.24.0.?, 104.2.0.?, $\ldots$	$[(649, 15872)]$
832.d2	832c2	832.d	832c	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{21} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$936$	$144$	$3$	$0.992649607$	$1$		$4$	$384$	$0.544801$	$-10218313/17576$	$0.94717$	$4.46110$	$[0, -1, 0, -289, -3679]$	\(y^2=x^3-x^2-289x-3679\)	3.12.0.a.1, 24.24.0-3.a.1.1, 104.2.0.?, 117.36.0.?, 156.24.0.?, $\ldots$	$[(25, 64)]$
832.d3	832c1	832.d	832c	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$936$	$144$	$3$	$0.330883202$	$1$		$4$	$128$	$-0.004505$	$12167/26$	$0.84415$	$3.40188$	$[0, -1, 0, 31, 97]$	\(y^2=x^3-x^2+31x+97\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 72.24.0.?, 104.2.0.?, $\ldots$	$[(9, 32)]$
832.e1	832d1	832.e	832d	$2$	$2$	\( 2^{6} \cdot 13 \)	\( 2^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$104$	$48$	$0$	$1$	$1$		$1$	$48$	$-0.431299$	$442368/13$	$1.27279$	$2.96429$	$[0, 0, 0, -16, -24]$	\(y^2=x^3-16x-24\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.24.0.e.1, $\ldots$	$[]$
832.e2	832d2	832.e	832d	$2$	$2$	\( 2^{6} \cdot 13 \)	\( - 2^{14} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$104$	$48$	$0$	$1$	$1$		$1$	$96$	$-0.084726$	$432/169$	$1.09219$	$3.31466$	$[0, 0, 0, 4, -80]$	\(y^2=x^3+4x-80\)	2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 104.48.0.?	$[]$
832.f1	832h1	832.f	832h	$2$	$2$	\( 2^{6} \cdot 13 \)	\( 2^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$104$	$48$	$0$	$1.094512601$	$1$		$5$	$48$	$-0.431299$	$442368/13$	$1.27279$	$2.96429$	$[0, 0, 0, -16, 24]$	\(y^2=x^3-16x+24\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.24.0.e.1, $\ldots$	$[(1, 3)]$
832.f2	832h2	832.f	832h	$2$	$2$	\( 2^{6} \cdot 13 \)	\( - 2^{14} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$104$	$48$	$0$	$0.547256300$	$1$		$7$	$96$	$-0.084726$	$432/169$	$1.09219$	$3.31466$	$[0, 0, 0, 4, 80]$	\(y^2=x^3+4x+80\)	2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 104.48.0.?	$[(-2, 8)]$
832.g1	832a1	832.g	832a	$1$	$1$	\( 2^{6} \cdot 13 \)	\( - 2^{15} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.250115901$	$1$		$4$	$64$	$-0.240840$	$-8/13$	$0.95359$	$3.03655$	$[0, 1, 0, -1, 31]$	\(y^2=x^3+x^2-x+31\)	104.2.0.?	$[(3, 8)]$
832.h1	832i1	832.h	832i	$1$	$1$	\( 2^{6} \cdot 13 \)	\( - 2^{17} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.236753544$	$1$		$4$	$128$	$-0.046458$	$-235298/13$	$0.96559$	$3.60558$	$[0, 1, 0, -65, 191]$	\(y^2=x^3+x^2-65x+191\)	104.2.0.?	$[(-1, 16)]$
832.i1	832g3	832.i	832g	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{27} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$936$	$144$	$3$	$1$	$1$		$0$	$1152$	$1.094107$	$-10730978619193/6656$	$1.02193$	$6.31795$	$[0, 1, 0, -29409, 1931423]$	\(y^2=x^3+x^2-29409x+1931423\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.3, 72.24.0.?, 78.8.0.?, $\ldots$	$[]$
832.i2	832g2	832.i	832g	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{21} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$936$	$144$	$3$	$1$	$1$		$0$	$384$	$0.544801$	$-10218313/17576$	$0.94717$	$4.46110$	$[0, 1, 0, -289, 3679]$	\(y^2=x^3+x^2-289x+3679\)	3.12.0.a.1, 24.24.0-3.a.1.2, 78.24.0.?, 104.2.0.?, 117.36.0.?, $\ldots$	$[]$
832.i3	832g1	832.i	832g	$3$	$9$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$936$	$144$	$3$	$1$	$1$		$0$	$128$	$-0.004505$	$12167/26$	$0.84415$	$3.40188$	$[0, 1, 0, 31, -97]$	\(y^2=x^3+x^2+31x-97\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.4, 72.24.0.?, 78.8.0.?, $\ldots$	$[]$
832.j1	832f2	832.j	832f	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{19} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$728$	$96$	$2$	$1$	$1$		$0$	$2688$	$1.329515$	$-1064019559329/125497034$	$1.06269$	$6.00182$	$[0, 0, 0, -13612, -670672]$	\(y^2=x^3-13612x-670672\)	7.24.0.a.2, 56.48.0-7.a.2.1, 104.2.0.?, 364.48.0.?, 728.96.2.?	$[]$
832.j2	832f1	832.j	832f	$2$	$7$	\( 2^{6} \cdot 13 \)	\( - 2^{25} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$728$	$96$	$2$	$1$	$1$		$0$	$384$	$0.356560$	$-2146689/1664$	$0.96784$	$4.15031$	$[0, 0, 0, -172, 1328]$	\(y^2=x^3-172x+1328\)	7.24.0.a.1, 56.48.0-7.a.1.1, 104.2.0.?, 364.48.0.?, 728.96.2.?	$[]$

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