Elliptic curves over $\Q$ of conductor 25688

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
25688.a1	25688e1	25688.a	25688e	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{3} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.321679109$	$1$		$14$	$9792$	$0.019347$	$-12967168/19$	$0.97605$	$2.64413$	$[0, 1, 0, -160, 729]$	\(y^2=x^3+x^2-160x+729\)	494.2.0.?	$[(4, 13), (8, 5)]$
25688.b1	25688k2	25688.b	25688k	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( 2^{11} \cdot 13^{9} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$147264$	$1.776217$	$2590058/361$	$0.87964$	$4.47876$	$[0, 1, 0, -79824, -7589984]$	\(y^2=x^3+x^2-79824x-7589984\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 988.6.0.?, 1976.12.0.?	$[ ]$
25688.b2	25688k1	25688.b	25688k	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$73632$	$1.429644$	$5324/19$	$0.70224$	$3.96288$	$[0, 1, 0, 8056, -629888]$	\(y^2=x^3+x^2+8056x-629888\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
25688.c1	25688i1	25688.c	25688i	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{8} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.212152314$	$1$		$2$	$17280$	$0.670996$	$-1024/19$	$0.79665$	$3.08897$	$[0, 1, 0, -225, 7411]$	\(y^2=x^3+x^2-225x+7411\)	38.2.0.a.1	$[(30, 169)]$
25688.d1	25688d2	25688.d	25688d	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( 2^{11} \cdot 13^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$11328$	$0.493742$	$2590058/361$	$0.87964$	$2.96310$	$[0, 1, 0, -472, -3600]$	\(y^2=x^3+x^2-472x-3600\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 988.6.0.?, 1976.12.0.?	$[ ]$
25688.d2	25688d1	25688.d	25688d	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$5664$	$0.147169$	$5324/19$	$0.70224$	$2.44722$	$[0, 1, 0, 48, -272]$	\(y^2=x^3+x^2+48x-272\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
25688.e1	25688l1	25688.e	25688l	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$127296$	$1.301823$	$-12967168/19$	$0.97605$	$4.15979$	$[0, 1, 0, -27096, 1709917]$	\(y^2=x^3+x^2-27096x+1709917\)	494.2.0.?	$[ ]$
25688.f1	25688h1	25688.f	25688h	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.552880242$	$1$		$2$	$13440$	$0.652559$	$6912/247$	$0.75459$	$3.06389$	$[0, 0, 0, 169, 6591]$	\(y^2=x^3+169x+6591\)	494.2.0.?	$[(26, 169)]$
25688.g1	25688a1	25688.g	25688a	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{4} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.16.0.2		$4$	$16$	$0$	$0.972784304$	$1$		$4$	$36096$	$1.255066$	$-22359484836/130321$	$1.09431$	$4.04104$	$[0, 0, 0, -18083, 940654]$	\(y^2=x^3-18083x+940654\)	4.16.0-4.b.1.1	$[(159, 1444)]$
25688.h1	25688g1	25688.h	25688g	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{10} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$52$	$16$	$0$	$3.575905629$	$1$		$2$	$469248$	$2.537540$	$-22359484836/130321$	$1.09431$	$5.55670$	$[0, 0, 0, -3056027, 2066616838]$	\(y^2=x^3-3056027x+2066616838\)	4.8.0.b.1, 52.16.0-4.b.1.1	$[(699, 16492)]$
25688.i1	25688c1	25688.i	25688c	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{11} \cdot 13^{9} \cdot 19^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$12.25436863$	$1$		$2$	$104832$	$1.735737$	$-101306/361$	$0.79856$	$4.35338$	$[0, 1, 0, -27096, -4602064]$	\(y^2=x^3+x^2-27096x-4602064\)	104.2.0.?	$[(1915, 83486), (877/2, 1691/2)]$
25688.j1	25688f1	25688.j	25688f	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{11} \cdot 13^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$18720$	$0.865296$	$-31250/19$	$0.89957$	$3.35661$	$[0, 1, 0, -1408, -29600]$	\(y^2=x^3+x^2-1408x-29600\)	152.2.0.?	$[ ]$
25688.k1	25688j1	25688.k	25688j	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{11} \cdot 13^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$8064$	$0.453261$	$-101306/361$	$0.79856$	$2.83772$	$[0, 1, 0, -160, -2144]$	\(y^2=x^3+x^2-160x-2144\)	104.2.0.?	$[ ]$
25688.l1	25688b1	25688.l	25688b	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.773311036$	$1$		$0$	$13440$	$0.727022$	$-4000000/247$	$0.76949$	$3.29586$	$[0, -1, 0, -1408, -20931]$	\(y^2=x^3-x^2-1408x-20931\)	494.2.0.?	$[(309/2, 4563/2)]$

  Download displayed columns for results to