Elliptic curves over $\Q$ of conductor 169756

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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
169756.a1	169756a1	169756.a	169756a	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( 2^{8} \cdot 31^{2} \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$4333824$	$2.137657$	$172233326592/35557$	$0.94290$	$4.40810$	$[0, 0, 0, -1007584, 389217652]$	\(y^2=x^3-1007584x+389217652\)	74.2.0.?	$[ ]$
169756.b1	169756b1	169756.b	169756b	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( 2^{8} \cdot 31^{2} \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$9061632$	$2.374294$	$13019746000896/35557$	$0.92738$	$4.76728$	$[0, 0, 0, -4260328, 3384633460]$	\(y^2=x^3-4260328x+3384633460\)	74.2.0.?	$[ ]$
169756.c1	169756c1	169756.c	169756c	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62$	$2$	$0$	$0.816240197$	$1$		$4$	$9192960$	$2.594036$	$-18301152350854912/42439$	$1.11611$	$5.13895$	$[0, 1, 0, -18939202, 31717884081]$	\(y^2=x^3+x^2-18939202x+31717884081\)	62.2.0.a.1	$[(2528, 1369)]$
169756.d1	169756d1	169756.d	169756d	$2$	$3$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6882$	$16$	$0$	$6.127815108$	$1$		$4$	$290304$	$1.033697$	$-87808/31$	$0.69864$	$3.01419$	$[0, 1, 0, -3194, 87109]$	\(y^2=x^3+x^2-3194x+87109\)	3.4.0.a.1, 62.2.0.a.1, 111.8.0.?, 186.8.0.?, 6882.16.0.?	$[(85/2, 1369/2), (189/5, 31487/5)]$
169756.d2	169756d2	169756.d	169756d	$2$	$3$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31^{3} \cdot 37^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6882$	$16$	$0$	$6.127815108$	$1$		$6$	$870912$	$1.583004$	$38112512/29791$	$0.88754$	$3.47897$	$[0, 1, 0, 24186, -849287]$	\(y^2=x^3+x^2+24186x-849287\)	3.4.0.a.1, 62.2.0.a.1, 111.8.0.?, 186.8.0.?, 6882.16.0.?	$[(86, 1369), (186, 3181)]$
169756.e1	169756e1	169756.e	169756e	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( 2^{4} \cdot 31^{2} \cdot 37^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$4588$	$12$	$0$	$17.50786073$	$1$		$0$	$3996000$	$2.640015$	$120209152/961$	$0.80261$	$4.77379$	$[0, -1, 0, -4373042, -3493991411]$	\(y^2=x^3-x^2-4373042x-3493991411\)	2.2.0.a.1, 74.6.0.?, 4588.12.0.?	$[(-365517391/536, 454069794103/536)]$
169756.f1	169756f1	169756.f	169756f	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( 2^{4} \cdot 31^{2} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$4588$	$12$	$0$	$1$	$1$		$0$	$108000$	$0.834555$	$120209152/961$	$0.80261$	$2.97464$	$[0, -1, 0, -3194, -67943]$	\(y^2=x^3-x^2-3194x-67943\)	2.2.0.a.1, 74.6.0.?, 124.4.0.?, 4588.12.0.?	$[ ]$
169756.g1	169756g1	169756.g	169756g	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2294$	$2$	$0$	$29.28664288$	$1$		$0$	$2413152$	$2.271030$	$-351250267373568/1147$	$0.98833$	$4.81067$	$[0, 0, 0, -5070776, -4395008851]$	\(y^2=x^3-5070776x-4395008851\)	2294.2.0.?	$[(3956202636439/31379, 6186721075904549842/31379)]$
169756.h1	169756h1	169756.h	169756h	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62$	$2$	$0$	$7.962647059$	$1$		$0$	$311040$	$1.246469$	$-33958656/31$	$1.22690$	$3.46952$	$[0, 0, 0, -23273, -1367631]$	\(y^2=x^3-23273x-1367631\)	62.2.0.a.1	$[(122063/23, 28657277/23)]$
169756.i1	169756i1	169756.i	169756i	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62$	$2$	$0$	$1$	$4$	$2$	$0$	$787968$	$1.604958$	$2370816/42439$	$0.79834$	$3.53059$	$[0, 0, 0, 9583, -1975467]$	\(y^2=x^3+9583x-1975467\)	62.2.0.a.1	$[ ]$
169756.j1	169756j1	169756.j	169756j	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31 \cdot 37^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2294$	$2$	$0$	$3.172066123$	$1$		$0$	$1329696$	$1.912939$	$1811939328/1570243$	$1.03599$	$3.79964$	$[0, 0, 0, 87616, -7040767]$	\(y^2=x^3+87616x-7040767\)	2294.2.0.?	$[(19684/3, 2785915/3)]$
169756.k1	169756k1	169756.k	169756k	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( 2^{8} \cdot 31^{2} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$6.757235226$	$1$		$0$	$919296$	$2.023411$	$16000000000/35557$	$0.96143$	$4.21077$	$[0, 1, 0, -456333, -118575073]$	\(y^2=x^3+x^2-456333x-118575073\)	74.2.0.?	$[(3229/2, 50437/2)]$
169756.l1	169756l1	169756.l	169756l	$1$	$1$	\( 2^{2} \cdot 31 \cdot 37^{2} \)	\( - 2^{4} \cdot 31^{3} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62$	$2$	$0$	$20.44904754$	$1$		$0$	$2363904$	$2.183769$	$-13936624384/40783879$	$0.83089$	$4.11863$	$[0, -1, 0, -172950, -68074387]$	\(y^2=x^3-x^2-172950x-68074387\)	62.2.0.a.1	$[(277315128713/916, 146035802991252771/916)]$

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