Elliptic curves over $\Q$ of conductor 3206

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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
3206.a1	3206b1	3206.a	3206b	$1$	$1$	\( 2 \cdot 7 \cdot 229 \)	\( 2^{2} \cdot 7^{2} \cdot 229 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458$	$2$	$0$	$0.191612760$	$1$		$18$	$416$	$-0.413092$	$95443993/44884$	$0.77705$	$2.27605$	$[1, 1, 0, -9, 1]$	\(y^2+xy=x^3+x^2-9x+1\)	458.2.0.?	$[(4, 5), (-3, 5)]$
3206.b1	3206c1	3206.b	3206c	$1$	$1$	\( 2 \cdot 7 \cdot 229 \)	\( 2^{14} \cdot 7^{4} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458$	$2$	$0$	$0.237686968$	$1$		$6$	$4032$	$0.805053$	$5318411685410377/9008398336$	$0.92032$	$4.48544$	$[1, 1, 0, -3636, 82768]$	\(y^2+xy=x^3+x^2-3636x+82768\)	458.2.0.?	$[(72, 412)]$
3206.c1	3206a1	3206.c	3206a	$1$	$1$	\( 2 \cdot 7 \cdot 229 \)	\( - 2^{13} \cdot 7^{3} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12824$	$2$	$0$	$1$	$1$		$0$	$2028$	$0.378180$	$-261284780457/643457024$	$0.93326$	$3.46202$	$[1, -1, 0, -133, -1323]$	\(y^2+xy=x^3-x^2-133x-1323\)	12824.2.0.?	$[ ]$
3206.d1	3206d1	3206.d	3206d	$1$	$1$	\( 2 \cdot 7 \cdot 229 \)	\( - 2^{2} \cdot 7 \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3206$	$2$	$0$	$0.912737178$	$1$		$2$	$216$	$-0.590373$	$-15625/6412$	$0.85868$	$2.00948$	$[1, 1, 0, 0, -4]$	\(y^2+xy=x^3+x^2-4\)	3206.2.0.?	$[(2, 2)]$
3206.e1	3206f3	3206.e	3206f	$3$	$9$	\( 2 \cdot 7 \cdot 229 \)	\( - 2^{2} \cdot 7^{9} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$28854$	$144$	$3$	$1$	$1$		$0$	$11880$	$1.439514$	$-267725655816044532625/36963904012$	$0.97246$	$5.82656$	$[1, 0, 0, -134273, -18949067]$	\(y^2+xy=x^3-134273x-18949067\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 2061.72.0.?, 3206.2.0.?, 9618.16.0.?, $\ldots$	$[ ]$
3206.e2	3206f2	3206.e	3206f	$3$	$9$	\( 2 \cdot 7 \cdot 229 \)	\( - 2^{6} \cdot 7^{3} \cdot 229^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$28854$	$144$	$3$	$1$	$1$		$2$	$3960$	$0.890208$	$-339265138668625/263621326528$	$0.91543$	$4.24998$	$[1, 0, 0, -1453, -32751]$	\(y^2+xy=x^3-1453x-32751\)	3.24.0-3.a.1.1, 2061.72.0.?, 3206.2.0.?, 9618.48.1.?, 28854.144.3.?	$[ ]$
3206.e3	3206f1	3206.e	3206f	$3$	$9$	\( 2 \cdot 7 \cdot 229 \)	\( - 2^{18} \cdot 7 \cdot 229 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$28854$	$144$	$3$	$1$	$1$		$2$	$1320$	$0.340902$	$351148691375/420216832$	$0.87094$	$3.30124$	$[1, 0, 0, 147, 721]$	\(y^2+xy=x^3+147x+721\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 2061.72.0.?, 3206.2.0.?, 9618.16.0.?, $\ldots$	$[ ]$
3206.f1	3206e2	3206.f	3206e	$2$	$5$	\( 2 \cdot 7 \cdot 229 \)	\( 2^{2} \cdot 7^{2} \cdot 229^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$2290$	$48$	$1$	$9.267812021$	$1$		$0$	$44000$	$2.173038$	$2264783860173111837855121/123433624861204$	$1.00313$	$6.94674$	$[1, 1, 1, -2735905, -1742945301]$	\(y^2+xy+y=x^3+x^2-2735905x-1742945301\)	5.24.0-5.a.2.2, 458.2.0.?, 2290.48.1.?	$[(-859769/30, 13091789/30)]$
3206.f2	3206e1	3206.f	3206e	$2$	$5$	\( 2 \cdot 7 \cdot 229 \)	\( 2^{10} \cdot 7^{10} \cdot 229 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$2290$	$48$	$1$	$1.853562404$	$1$		$8$	$8800$	$1.368319$	$333332937651404881/66239315989504$	$0.94748$	$4.99802$	$[1, 1, 1, -14445, 535459]$	\(y^2+xy+y=x^3+x^2-14445x+535459\)	5.24.0-5.a.1.2, 458.2.0.?, 2290.48.1.?	$[(19, 508)]$

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