Elliptic curves over $\Q$ of conductor 4232

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (11 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4232.a1	4232g1	4232.a	4232g	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{4} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$46$	$2$	$0$	$1.852761551$	$1$		$0$	$8832$	$1.265408$	$256$	$0.66890$	$4.58496$	$1$	$[0, -1, 0, 4056, -239735]$	\(y^2=x^3-x^2+4056x-239735\)	46.2.0.a.1	$[(532/3, 12167/3)]$	$1$
4232.b1	4232d1	4232.b	4232d	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{11} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	8.2.0.1, 5.5.0.1	5S4	$40$	$10$	$0$	$1$	$1$		$0$	$11040$	$1.406004$	$46$	$0.81518$	$4.80650$	$1$	$[0, -1, 0, 4056, 599788]$	\(y^2=x^3-x^2+4056x+599788\)	5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1	$[ ]$	$1$
4232.c1	4232b1	4232.c	4232b	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	8.2.0.1, 5.5.0.1	5S4	$40$	$10$	$0$	$1$	$1$		$0$	$480$	$-0.161744$	$46$	$0.81518$	$2.55356$	$1$	$[0, -1, 0, 8, -52]$	\(y^2=x^3-x^2+8x-52\)	5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1	$[ ]$	$1$
4232.d1	4232f1	4232.d	4232f	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{4} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$46$	$2$	$0$	$0.378309503$	$1$		$4$	$384$	$-0.302340$	$256$	$0.66890$	$2.33203$	$1$	$[0, -1, 0, 8, 17]$	\(y^2=x^3-x^2+8x+17\)	46.2.0.a.1	$[(8, 23)]$	$1$
4232.e1	4232c1	4232.e	4232c	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$4224$	$0.827628$	$-562432/23$	$0.75822$	$4.17869$	$1$	$[0, -1, 0, -2292, -42947]$	\(y^2=x^3-x^2-2292x-42947\)	46.2.0.a.1	$[ ]$	$1$
4232.f1	4232h1	4232.f	4232h	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{4} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.847715287$	$1$		$2$	$4224$	$0.739686$	$-256/23$	$0.98486$	$3.85396$	$1$	$[0, -1, 0, -176, -11207]$	\(y^2=x^3-x^2-176x-11207\)	46.2.0.a.1	$[(192, 2645)]$	$1$
4232.g1	4232a2	4232.g	4232a	$2$	$2$	\( 2^{3} \cdot 23^{2} \)	\( 2^{11} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$184$	$12$	$0$	$1$	$1$		$1$	$12672$	$1.438200$	$2315250/529$	$0.89506$	$4.92102$	$1$	$[0, 0, 0, -18515, -754354]$	\(y^2=x^3-18515x-754354\)	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[ ]$	$1$
4232.g2	4232a1	4232.g	4232a	$2$	$2$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{10} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$6336$	$1.091627$	$13500/23$	$0.90383$	$4.30153$	$1$	$[0, 0, 0, 2645, -73002]$	\(y^2=x^3+2645x-73002\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[ ]$	$1$
4232.h1	4232j1	4232.h	4232j	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{10} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.3		$4$	$4$	$0$	$3.802818737$	$1$		$2$	$1344$	$0.328733$	$-2116$	$0.82141$	$3.32051$	$1$	$[0, -1, 0, -176, -1156]$	\(y^2=x^3-x^2-176x-1156\)	4.4.0-4.a.1.1	$[(37, 204)]$	$1$
4232.i1	4232i1	4232.i	4232i	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{10} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$92$	$4$	$0$	$7.228127578$	$1$		$0$	$30912$	$1.896481$	$-2116$	$0.82141$	$5.57345$	$1$	$[0, -1, 0, -93280, 14810844]$	\(y^2=x^3-x^2-93280x+14810844\)	4.2.0.a.1, 92.4.0.?	$[(165/2, 26571/2)]$	$1$
4232.j1	4232e1	4232.j	4232e	$1$	$1$	\( 2^{3} \cdot 23^{2} \)	\( - 2^{4} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$12672$	$1.180883$	$-1149984000/23$	$0.95837$	$5.08340$	$1$	$[0, 0, 0, -29095, 1910219]$	\(y^2=x^3-29095x+1910219\)	46.2.0.a.1	$[ ]$	$1$

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