Elliptic curve search results

Results (12 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
4764.c1	4764c1	4764.c	4764c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 397 \)	\( - 2^{8} \cdot 3^{12} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1.660845794$	$1$		$0$	$4032$	$0.747004$	$-80989901008/210982077$	$0.88260$	$3.82199$	$1$	$[0, -1, 0, -572, 12552]$	\(y^2=x^3-x^2-572x+12552\)	1588.2.0.?	$[(77/2, 729/2)]$	$1$
14292.b1	14292n1	14292.b	14292n	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{18} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$32256$	$1.296309$	$-80989901008/210982077$	$0.88260$	$4.07208$	$1$	$[0, 0, 0, -5151, -333754]$	\(y^2=x^3-5151x-333754\)	1588.2.0.?	$[ ]$	$1$
19056.p1	19056p1	19056.p	19056p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 397 \)	\( - 2^{8} \cdot 3^{12} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$16128$	$0.747004$	$-80989901008/210982077$	$0.88260$	$3.28436$	$1$	$[0, 1, 0, -572, -12552]$	\(y^2=x^3+x^2-572x-12552\)	1588.2.0.?	$[ ]$	$1$
57168.h1	57168bj1	57168.h	57168bj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{18} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$129024$	$1.296309$	$-80989901008/210982077$	$0.88260$	$3.55672$	$1$	$[0, 0, 0, -5151, 333754]$	\(y^2=x^3-5151x+333754\)	1588.2.0.?	$[ ]$	$1$
76224.d1	76224w1	76224.d	76224w	$1$	$1$	\( 2^{6} \cdot 3 \cdot 397 \)	\( - 2^{14} \cdot 3^{12} \cdot 397 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$6.688463221$	$1$		$8$	$129024$	$1.093576$	$-80989901008/210982077$	$0.88260$	$3.24929$	$1$	$[0, -1, 0, -2289, -98127]$	\(y^2=x^3-x^2-2289x-98127\)	1588.2.0.?	$[(327, 5832), (1056, 34263)]$	$1$
76224.x1	76224n1	76224.x	76224n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 397 \)	\( - 2^{14} \cdot 3^{12} \cdot 397 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$0.323345836$	$1$		$22$	$129024$	$1.093576$	$-80989901008/210982077$	$0.88260$	$3.24929$	$1$	$[0, 1, 0, -2289, 98127]$	\(y^2=x^3+x^2-2289x+98127\)	1588.2.0.?	$[(159, 1944), (-3, 324)]$	$1$
119100.k1	119100h1	119100.k	119100h	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$0.286540351$	$1$		$6$	$516096$	$1.551722$	$-80989901008/210982077$	$0.88260$	$3.59560$	$1$	$[0, 1, 0, -14308, 1540388]$	\(y^2=x^3+x^2-14308x+1540388\)	1588.2.0.?	$[(128, 1350)]$	$1$
228672.cu1	228672cv1	228672.cu	228672cv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 397 \)	\( - 2^{14} \cdot 3^{18} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$1032192$	$1.642883$	$-80989901008/210982077$	$0.88260$	$3.49418$	$1$	$[0, 0, 0, -20604, -2670032]$	\(y^2=x^3-20604x-2670032\)	1588.2.0.?	$[ ]$	$1$
228672.db1	228672y1	228672.db	228672y	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 397 \)	\( - 2^{14} \cdot 3^{18} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$6.998377424$	$1$		$0$	$1032192$	$1.642883$	$-80989901008/210982077$	$0.88260$	$3.49418$	$1$	$[0, 0, 0, -20604, 2670032]$	\(y^2=x^3-20604x+2670032\)	1588.2.0.?	$[(-644/3, 52480/3)]$	$1$
233436.e1	233436e1	233436.e	233436e	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{12} \cdot 7^{6} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$1330560$	$1.719957$	$-80989901008/210982077$	$0.88260$	$3.56318$	$1$	$[0, 1, 0, -28044, -4249260]$	\(y^2=x^3+x^2-28044x-4249260\)	1588.2.0.?	$[ ]$	$1$
357300.v1	357300v1	357300.v	357300v	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{18} \cdot 5^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$19.92466116$	$1$		$0$	$4128768$	$2.101028$	$-80989901008/210982077$	$0.88260$	$3.80219$	$1$	$[0, 0, 0, -128775, -41719250]$	\(y^2=x^3-128775x-41719250\)	1588.2.0.?	$[(5576913785/2158, 392000453090325/2158)]$	$1$
476400.f1	476400f1	476400.f	476400f	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 397 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$2064384$	$1.551722$	$-80989901008/210982077$	$0.88260$	$3.21435$	$1$	$[0, -1, 0, -14308, -1540388]$	\(y^2=x^3-x^2-14308x-1540388\)	1588.2.0.?	$[ ]$	$1$

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