Elliptic curve search results

Results (13 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
9282.n1	9282j1	9282.n	9282j	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12376$	$2$	$0$	$1$	$1$		$0$	$1632$	$-0.140592$	$270840023/1364454$	$0.81940$	$2.34888$	$[1, 0, 1, 13, -52]$	\(y^2+xy+y=x^3+13x-52\)	12376.2.0.?	$[]$
27846.x1	27846bg1	27846.x	27846bg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 7^{3} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1$	$1$		$0$	$13056$	$0.408714$	$270840023/1364454$	$0.81940$	$2.74081$	$[1, -1, 1, 121, 1397]$	\(y^2+xy+y=x^3-x^2+121x+1397\)	12376.2.0.?	$[]$
64974.b1	64974d1	64974.b	64974d	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{2} \cdot 7^{9} \cdot 13 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.912440554$	$1$		$10$	$78336$	$0.832363$	$270840023/1364454$	$0.81940$	$2.99000$	$[1, 1, 0, 661, 18411]$	\(y^2+xy=x^3+x^2+661x+18411\)	12376.2.0.?	$[(13, 165), (83, 767)]$
74256.bt1	74256cg1	74256.bt	74256cg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.610451634$	$1$		$4$	$39168$	$0.552555$	$270840023/1364454$	$0.81940$	$2.65502$	$[0, -1, 0, 216, 3312]$	\(y^2=x^3-x^2+216x+3312\)	12376.2.0.?	$[(-6, 42)]$
120666.by1	120666cj1	120666.by	120666cj	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{2} \cdot 7^{3} \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$1.162090028$	$1$		$0$	$274176$	$1.141882$	$270840023/1364454$	$0.81940$	$3.14925$	$[1, 0, 0, 2278, -115974]$	\(y^2+xy=x^3+2278x-115974\)	12376.2.0.?	$[(355/2, 6743/2)]$
157794.d1	157794ca1	157794.d	157794ca	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.838966220$	$1$		$4$	$470016$	$1.276014$	$270840023/1364454$	$0.81940$	$3.21314$	$[1, 1, 0, 3896, -258146]$	\(y^2+xy=x^3+x^2+3896x-258146\)	12376.2.0.?	$[(205, 2932)]$
194922.ey1	194922bn1	194922.ey	194922bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 7^{9} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$6.420086498$	$1$		$0$	$626688$	$1.381670$	$270840023/1364454$	$0.81940$	$3.26149$	$[1, -1, 1, 5944, -491151]$	\(y^2+xy+y=x^3-x^2+5944x-491151\)	12376.2.0.?	$[(8989/12, 544423/12)]$
222768.u1	222768g1	222768.u	222768g	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{8} \cdot 7^{3} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.608150045$	$1$		$6$	$313344$	$1.101862$	$270840023/1364454$	$0.81940$	$2.95345$	$[0, 0, 0, 1941, -91366]$	\(y^2=x^3+1941x-91366\)	12376.2.0.?	$[(61, 504)]$
232050.fg1	232050fg1	232050.fg	232050fg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$2.914197036$	$1$		$0$	$176256$	$0.664127$	$270840023/1364454$	$0.81940$	$2.51852$	$[1, 1, 1, 337, -6469]$	\(y^2+xy+y=x^3+x^2+337x-6469\)	12376.2.0.?	$[(51/2, 29/2)]$
297024.e1	297024e1	297024.e	297024e	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{19} \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$2.547308196$	$1$		$12$	$313344$	$0.899129$	$270840023/1364454$	$0.81940$	$2.69297$	$[0, -1, 0, 863, -27359]$	\(y^2=x^3-x^2+863x-27359\)	12376.2.0.?	$[(25, 96), (89, 864)]$
297024.eh1	297024eh1	297024.eh	297024eh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{19} \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.473068659$	$1$		$4$	$313344$	$0.899129$	$270840023/1364454$	$0.81940$	$2.69297$	$[0, 1, 0, 863, 27359]$	\(y^2=x^3+x^2+863x+27359\)	12376.2.0.?	$[(71, 672)]$
361998.bw1	361998bw1	361998.bw	361998bw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 7^{3} \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$0.994774242$	$1$		$2$	$2193408$	$1.691189$	$270840023/1364454$	$0.81940$	$3.39394$	$[1, -1, 0, 20502, 3131298]$	\(y^2+xy=x^3-x^2+20502x+3131298\)	12376.2.0.?	$[(621, 15660)]$
473382.fh1	473382fh1	473382.fh	473382fh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{8} \cdot 7^{3} \cdot 13 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12376$	$2$	$0$	$3.183041026$	$1$		$0$	$3760128$	$1.825321$	$270840023/1364454$	$0.81940$	$3.44744$	$[1, -1, 1, 35059, 7005003]$	\(y^2+xy+y=x^3-x^2+35059x+7005003\)	12376.2.0.?	$[(8603/2, 792501/2)]$

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