Elliptic curves over $\Q$ of conductor 3952

Results (14 matches)

  Download displayed columns for results to

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
3952.a1	3952f1	3952.a	3952f	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{13} \cdot 13 \cdot 19^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.159977756$	$1$		$22$	$3648$	$0.422908$	$-25334470953/9386$	$0.90338$	$3.89688$	$[0, 0, 0, -979, 11794]$	\(y^2=x^3-979x+11794\)	104.2.0.?	$[(17, 8), (23, 38)]$
3952.b1	3952a1	3952.b	3952a	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.636363865$	$1$		$2$	$160$	$-0.555453$	$-4000000/247$	$0.76949$	$2.18254$	$[0, 1, 0, -8, 7]$	\(y^2=x^3+x^2-8x+7\)	494.2.0.?	$[(1, 1)]$
3952.c1	3952h1	3952.c	3952h	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.589534411$	$1$		$2$	$1680$	$0.233699$	$10150866176/7054567$	$0.87568$	$3.11682$	$[0, 1, 0, 114, 247]$	\(y^2=x^3+x^2+114x+247\)	494.2.0.?	$[(3, 25)]$
3952.d1	3952e1	3952.d	3952e	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{8} \cdot 13^{2} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.620027582$	$1$		$12$	$480$	$-0.180277$	$1769472/3211$	$1.10590$	$2.49822$	$[0, 0, 0, 16, -36]$	\(y^2=x^3+16x-36\)	38.2.0.a.1	$[(5, 13), (2, 2)]$
3952.e1	3952d3	3952.e	3952d	$4$	$4$	\( 2^{4} \cdot 13 \cdot 19 \)	\( 2^{13} \cdot 13^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1976$	$48$	$0$	$1$	$1$		$1$	$3264$	$0.765377$	$969417177273/1085318$	$0.93818$	$4.33685$	$[0, 0, 0, -3299, -72862]$	\(y^2=x^3-3299x-72862\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 76.12.0.?, 104.24.0.?, $\ldots$	$[ ]$
3952.e2	3952d4	3952.e	3952d	$4$	$4$	\( 2^{4} \cdot 13 \cdot 19 \)	\( 2^{13} \cdot 13 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1976$	$48$	$0$	$1$	$1$		$1$	$3264$	$0.765377$	$345505073913/3388346$	$0.97212$	$4.21228$	$[0, 0, 0, -2339, 43170]$	\(y^2=x^3-2339x+43170\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[ ]$
3952.e3	3952d2	3952.e	3952d	$4$	$4$	\( 2^{4} \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1976$	$48$	$0$	$1$	$1$		$3$	$1632$	$0.418803$	$469097433/244036$	$0.96358$	$3.41514$	$[0, 0, 0, -259, -510]$	\(y^2=x^3-259x-510\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 76.12.0.?, 104.24.0.?, $\ldots$	$[ ]$
3952.e4	3952d1	3952.e	3952d	$4$	$4$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{16} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1976$	$48$	$0$	$1$	$1$		$1$	$816$	$0.072229$	$6128487/3952$	$0.83799$	$2.89137$	$[0, 0, 0, 61, -62]$	\(y^2=x^3+61x-62\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 76.12.0.?, $\ldots$	$[ ]$
3952.f1	3952b1	3952.f	3952b	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$160$	$-0.629915$	$6912/247$	$0.75459$	$1.89814$	$[0, 0, 0, 1, -3]$	\(y^2=x^3+x-3\)	494.2.0.?	$[ ]$
3952.g1	3952c1	3952.g	3952c	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$25$	$5$	$0$	$53040$	$2.325428$	$-328568038616615609088/546688785009341767$	$1.05426$	$6.20244$	$[0, 0, 0, -362249, -165197113]$	\(y^2=x^3-362249x-165197113\)	494.2.0.?	$[ ]$
3952.h1	3952j1	3952.h	3952j	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{25} \cdot 13^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$7488$	$1.332048$	$-110931033861649/6497214464$	$0.94569$	$4.92082$	$[0, 1, 0, -16016, -824044]$	\(y^2=x^3+x^2-16016x-824044\)	104.2.0.?	$[ ]$
3952.i1	3952g1	3952.i	3952g	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{17} \cdot 13 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$0.599718433$	$1$		$4$	$960$	$0.374969$	$214921799/150176$	$0.86097$	$3.32089$	$[0, 1, 0, 200, -428]$	\(y^2=x^3+x^2+200x-428\)	104.2.0.?	$[(6, 32)]$
3952.j1	3952i2	3952.j	3952i	$2$	$3$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2964$	$16$	$0$	$0.646809925$	$1$		$2$	$1296$	$0.419284$	$-48795070432000/41743$	$0.92310$	$4.14047$	$[0, -1, 0, -1918, 32979]$	\(y^2=x^3-x^2-1918x+32979\)	3.4.0.a.1, 12.8.0-3.a.1.2, 494.2.0.?, 1482.8.0.?, 2964.16.0.?	$[(21, 39)]$
3952.j2	3952i1	3952.j	3952i	$2$	$3$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2964$	$16$	$0$	$1.940429777$	$1$		$2$	$432$	$-0.130022$	$-42592000/89167$	$0.79553$	$2.64063$	$[0, -1, 0, -18, 71]$	\(y^2=x^3-x^2-18x+71\)	3.4.0.a.1, 12.8.0-3.a.1.1, 494.2.0.?, 1482.8.0.?, 2964.16.0.?	$[(5, 9)]$

  Download displayed columns for results to