Elliptic curve search results

Results (8 matches)

 

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
88725.x2	88725a1	88725.x	88725a	$2$	$3$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{2} \cdot 7^{4} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$17.90976209$	$1$		$0$	$3369600$	$2.684948$	$19444740423680/34451725707$	$1.22085$	$4.83272$	$[0, -1, 1, 1530577, -1047002422]$	\(y^2+y=x^3-x^2+1530577x-1047002422\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2	$[(161108088/509, 1587081491237/509)]$
88725.be2	88725o1	88725.be	88725o	$2$	$3$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$390$	$16$	$0$	$1$	$1$		$0$	$259200$	$1.402472$	$19444740423680/34451725707$	$1.22085$	$3.48195$	$[0, -1, 1, 9057, -479347]$	\(y^2+y=x^3-x^2+9057x-479347\)	3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.?	$[]$
88725.bj2	88725bx1	88725.bj	88725bx	$2$	$3$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{8} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$78$	$16$	$0$	$1.580755139$	$1$		$2$	$1296000$	$2.207191$	$19444740423680/34451725707$	$1.22085$	$4.32952$	$[0, 1, 1, 226417, -59465506]$	\(y^2+y=x^3+x^2+226417x-59465506\)	3.4.0.a.1, 6.8.0.b.1, 39.8.0-3.a.1.1, 78.16.0.?	$[(514, 13891)]$
88725.bo2	88725cf1	88725.bo	88725cf	$2$	$3$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{8} \cdot 7^{4} \cdot 13^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$6$	$16$	$0$	$1$	$1$		$2$	$16848000$	$3.489666$	$19444740423680/34451725707$	$1.22085$	$5.68029$	$[0, 1, 1, 38264417, -130798773881]$	\(y^2+y=x^3+x^2+38264417x-130798773881\)	3.8.0-3.a.1.2, 6.16.0-6.b.1.2	$[]$
266175.ce2	266175ce1	266175.ce	266175ce	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{8} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$78$	$16$	$0$	$4.774543954$	$1$		$2$	$10368000$	$2.756496$	$19444740423680/34451725707$	$1.22085$	$4.47643$	$[0, 0, 1, 2037750, 1607606406]$	\(y^2+y=x^3+2037750x+1607606406\)	3.4.0.a.1, 6.8.0.b.1, 39.8.0-3.a.1.2, 78.16.0.?	$[(6150, 496737)]$
266175.cf2	266175cf1	266175.cf	266175cf	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{2} \cdot 7^{4} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$1$	$4$	$2$	$0$	$26956800$	$3.234253$	$19444740423680/34451725707$	$1.22085$	$4.93537$	$[0, 0, 1, 13775190, 28255290196]$	\(y^2+y=x^3+13775190x+28255290196\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1	$[]$
266175.cr2	266175cr1	266175.cr	266175cr	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{8} \cdot 7^{4} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$6$	$16$	$0$	$1$	$1$		$0$	$134784000$	$4.038971$	$19444740423680/34451725707$	$1.22085$	$5.70840$	$[0, 0, 1, 344379750, 3531911274531]$	\(y^2+y=x^3+344379750x+3531911274531\)	3.8.0-3.a.1.1, 6.16.0-6.b.1.1	$[]$
266175.ct2	266175ct1	266175.ct	266175ct	$2$	$3$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$390$	$16$	$0$	$2.083611879$	$1$		$0$	$2073600$	$1.951778$	$19444740423680/34451725707$	$1.22085$	$3.70340$	$[0, 0, 1, 81510, 12860851]$	\(y^2+y=x^3+81510x+12860851\)	3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.?	$[(-311/2, 19679/2)]$