Elliptic curve search results

Results (14 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
19950.r1	19950bf1	19950.r	19950bf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.514596629$	$1$		$6$	$69120$	$1.313757$	$9056932295/135136512$	$0.91958$	$3.94026$	$[1, 0, 1, 3174, -342452]$	\(y^2+xy+y=x^3+3174x-342452\)	532.2.0.?	$[(77, 561)]$
19950.cb1	19950cb1	19950.cb	19950cb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.194315834$	$1$		$8$	$13824$	$0.509037$	$9056932295/135136512$	$0.91958$	$2.96494$	$[1, 1, 1, 127, -2689]$	\(y^2+xy+y=x^3+x^2+127x-2689\)	532.2.0.?	$[(39, 232)]$
59850.dn1	59850ce1	59850.dn	59850ce	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.723467092$	$1$		$4$	$110592$	$1.058344$	$9056932295/135136512$	$0.91958$	$3.26808$	$[1, -1, 0, 1143, 73741]$	\(y^2+xy=x^3-x^2+1143x+73741\)	532.2.0.?	$[(50, 479)]$
59850.ez1	59850gc1	59850.ez	59850gc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.863062$	$9056932295/135136512$	$0.91958$	$4.14598$	$[1, -1, 1, 28570, 9246197]$	\(y^2+xy+y=x^3-x^2+28570x+9246197\)	532.2.0.?	$[ ]$
139650.c1	139650hl1	139650.c	139650hl	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$3317760$	$2.286713$	$9056932295/135136512$	$0.91958$	$4.27858$	$[1, 1, 0, 155550, 117616500]$	\(y^2+xy=x^3+x^2+155550x+117616500\)	532.2.0.?	$[ ]$
139650.gx1	139650bb1	139650.gx	139650bb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.237804105$	$1$		$8$	$663552$	$1.481993$	$9056932295/135136512$	$0.91958$	$3.46346$	$[1, 0, 0, 6222, 940932]$	\(y^2+xy=x^3+6222x+940932\)	532.2.0.?	$[(18, 1020)]$
159600.dh1	159600dj1	159600.dh	159600dj	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.850500486$	$1$		$4$	$1658880$	$2.006905$	$9056932295/135136512$	$0.91958$	$3.95063$	$[0, -1, 0, 50792, 21916912]$	\(y^2=x^3-x^2+50792x+21916912\)	532.2.0.?	$[(-158, 3150)]$
159600.fk1	159600cp1	159600.fk	159600cp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$331776$	$1.202185$	$9056932295/135136512$	$0.91958$	$3.14460$	$[0, 1, 0, 2032, 176148]$	\(y^2=x^3+x^2+2032x+176148\)	532.2.0.?	$[ ]$
379050.dt1	379050dt1	379050.dt	379050dt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.612248580$	$1$		$14$	$4976640$	$1.981256$	$9056932295/135136512$	$0.91958$	$3.66064$	$[1, 0, 1, 45839, 18809348]$	\(y^2+xy+y=x^3+45839x+18809348\)	532.2.0.?	$[(448, 11147), (2443, 120074)]$
379050.fg1	379050fg1	379050.fg	379050fg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$0.901202906$	$1$		$16$	$24883200$	$2.785976$	$9056932295/135136512$	$0.91958$	$4.41240$	$[1, 1, 1, 1145987, 2351168531]$	\(y^2+xy+y=x^3+x^2+1145987x+2351168531\)	532.2.0.?	$[(435, 53932), (1385, 80532)]$
418950.iq1	418950iq1	418950.iq	418950iq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$5308416$	$2.031300$	$9056932295/135136512$	$0.91958$	$3.67873$	$[1, -1, 0, 55998, -25405164]$	\(y^2+xy=x^3-x^2+55998x-25405164\)	532.2.0.?	$[ ]$
418950.ra1	418950ra1	418950.ra	418950ra	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$26542080$	$2.836018$	$9056932295/135136512$	$0.91958$	$4.42467$	$[1, -1, 1, 1399945, -3174245553]$	\(y^2+xy+y=x^3-x^2+1399945x-3174245553\)	532.2.0.?	$[ ]$
478800.e1	478800e1	478800.e	478800e	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$2654208$	$1.751492$	$9056932295/135136512$	$0.91958$	$3.38444$	$[0, 0, 0, 18285, -4737710]$	\(y^2=x^3+18285x-4737710\)	532.2.0.?	$[ ]$
478800.hz1	478800hz1	478800.hz	478800hz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{20} \cdot 3^{10} \cdot 5^{8} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$532$	$2$	$0$	$1$	$1$		$0$	$13271040$	$2.556210$	$9056932295/135136512$	$0.91958$	$4.12277$	$[0, 0, 0, 457125, -592213750]$	\(y^2=x^3+457125x-592213750\)	532.2.0.?	$[ ]$

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