Elliptic curves over $\Q$ of conductor 14504

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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
14504.a1	14504e2	14504.a	14504e	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{11} \cdot 7^{9} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$4$	$2$	$1$	$100352$	$1.793224$	$212319530750/37$	$0.92212$	$5.34525$	$[0, 1, 0, -541368, -153496400]$	\(y^2=x^3+x^2-541368x-153496400\)	2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.?	$[ ]$
14504.a2	14504e1	14504.a	14504e	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 7^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$1$		$1$	$50176$	$1.446651$	$-102689500/1369$	$0.82913$	$4.47859$	$[0, 1, 0, -33728, -2422736]$	\(y^2=x^3+x^2-33728x-2422736\)	2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.?	$[ ]$
14504.b1	14504f2	14504.b	14504f	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{11} \cdot 7^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$4$	$2$	$1$	$82944$	$1.664446$	$169556172914/4353013$	$0.88931$	$4.71255$	$[0, 1, 0, -71752, 7207920]$	\(y^2=x^3+x^2-71752x+7207920\)	2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.?	$[ ]$
14504.b2	14504f1	14504.b	14504f	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 7^{9} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$1$		$1$	$41472$	$1.317873$	$415292/469567$	$0.92128$	$4.08265$	$[0, 1, 0, 768, 362032]$	\(y^2=x^3+x^2+768x+362032\)	2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.?	$[ ]$
14504.c1	14504b1	14504.c	14504b	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$0.370845926$	$1$		$16$	$9216$	$0.579333$	$27648/259$	$0.75618$	$3.14839$	$[0, 0, 0, 196, 4116]$	\(y^2=x^3+196x+4116\)	518.2.0.?	$[(14, 98), (42, 294)]$
14504.d1	14504a1	14504.d	14504a	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{4} \cdot 7^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1036$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.538042$	$6912000/1813$	$0.92588$	$3.15135$	$[0, 0, 0, -490, -3087]$	\(y^2=x^3-490x-3087\)	2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.?	$[ ]$
14504.d2	14504a2	14504.d	14504a	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1036$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.884616$	$6750000/9583$	$0.85629$	$3.47724$	$[0, 0, 0, 1225, -19894]$	\(y^2=x^3+1225x-19894\)	2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.?	$[ ]$
14504.e1	14504g1	14504.e	14504g	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{13} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$518$	$2$	$0$	$9.682117784$	$1$		$0$	$193536$	$2.346493$	$-15283295882302464/41714923579$	$1.00656$	$5.68669$	$[0, 0, 0, -1608572, -787101308]$	\(y^2=x^3-1608572x-787101308\)	518.2.0.?	$[(2322033/38, 1536815273/38)]$
14504.f1	14504h1	14504.f	14504h	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{4} \cdot 7^{8} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1036$	$12$	$0$	$5.069619646$	$1$		$3$	$117504$	$1.880695$	$33256413948450816/2481997$	$1.11932$	$5.47799$	$[0, 0, 0, -827218, 289586325]$	\(y^2=x^3-827218x+289586325\)	2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.?	$[(-1050, 735)]$
14504.f2	14504h2	14504.f	14504h	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{8} \cdot 7^{7} \cdot 37^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1036$	$12$	$0$	$2.534809823$	$1$		$5$	$235008$	$2.227268$	$-2065624967846736/17960084863$	$1.06882$	$5.47890$	$[0, 0, 0, -825503, 290846850]$	\(y^2=x^3-825503x+290846850\)	2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.?	$[(525, 1470)]$
14504.g1	14504i1	14504.g	14504i	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{8} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$5280$	$0.616788$	$16000000/37$	$0.93985$	$3.52829$	$[0, 1, 0, -1633, -25901]$	\(y^2=x^3+x^2-1633x-25901\)	74.2.0.?	$[ ]$
14504.h1	14504c1	14504.h	14504c	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{8} \cdot 7^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$6048$	$0.470715$	$351232/37$	$0.74527$	$3.12975$	$[0, 1, 0, -457, -3557]$	\(y^2=x^3+x^2-457x-3557\)	74.2.0.?	$[ ]$
14504.i1	14504d2	14504.i	14504d	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( 2^{11} \cdot 7^{3} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$4$	$2$	$1$	$14336$	$0.820271$	$212319530750/37$	$0.92212$	$4.12680$	$[0, -1, 0, -11048, 450668]$	\(y^2=x^3-x^2-11048x+450668\)	2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.?	$[ ]$
14504.i2	14504d1	14504.i	14504d	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 37 \)	\( - 2^{10} \cdot 7^{3} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2072$	$12$	$0$	$1$	$1$		$1$	$7168$	$0.473697$	$-102689500/1369$	$0.82913$	$3.26013$	$[0, -1, 0, -688, 7260]$	\(y^2=x^3-x^2-688x+7260\)	2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.?	$[ ]$

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