Elliptic curve search results

Results (12 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
10626.o1	10626s2	10626.o	10626s	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$7084$	$12$	$0$	$0.186706424$	$1$		$12$	$55296$	$1.455610$	$486034459476995521/253095136942032$	$0.96830$	$4.39271$	$[1, 0, 0, -16380, 254016]$	\(y^2+xy=x^3-16380x+254016\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(126, 378)]$
31878.w1	31878o2	31878.w	31878o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{18} \cdot 7^{6} \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$0$	$442368$	$2.004917$	$486034459476995521/253095136942032$	$0.96830$	$4.56299$	$[1, -1, 0, -147420, -6858432]$	\(y^2+xy=x^3-x^2-147420x-6858432\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
74382.bj1	74382bg2	74382.bj	74382bg	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{12} \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$4$	$2$	$0$	$2654208$	$2.428566$	$486034459476995521/253095136942032$	$0.96830$	$4.67154$	$[1, 1, 1, -802621, -87930109]$	\(y^2+xy+y=x^3+x^2-802621x-87930109\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
85008.b1	85008bf2	85008.b	85008bf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{16} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$2.825529388$	$1$		$5$	$1327104$	$2.148758$	$486034459476995521/253095136942032$	$0.96830$	$4.32076$	$[0, -1, 0, -262080, -16257024]$	\(y^2=x^3-x^2-262080x-16257024\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(-406, 4802)]$
116886.j1	116886n2	116886.j	116886n	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 11^{7} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$0.665970488$	$1$		$8$	$6635520$	$2.654556$	$486034459476995521/253095136942032$	$0.96830$	$4.72300$	$[1, 0, 1, -1981983, -340077278]$	\(y^2+xy+y=x^3-1981983x-340077278\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(-397, 19800)]$
223146.a1	223146ci2	223146.a	223146ci	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{18} \cdot 7^{12} \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$0$	$21233664$	$2.977871$	$486034459476995521/253095136942032$	$0.96830$	$4.79005$	$[1, -1, 0, -7223589, 2366889349]$	\(y^2+xy=x^3-x^2-7223589x+2366889349\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
244398.bs1	244398bs2	244398.bs	244398bs	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$1$		$0$	$29196288$	$3.023357$	$486034459476995521/253095136942032$	$0.96830$	$4.79892$	$[1, 0, 0, -8665031, -3107942727]$	\(y^2+xy=x^3-8665031x-3107942727\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
255024.fd1	255024fd2	255024.fd	255024fd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{16} \cdot 3^{18} \cdot 7^{6} \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$4$	$2$	$1$	$10616832$	$2.698063$	$486034459476995521/253095136942032$	$0.96830$	$4.46895$	$[0, 0, 0, -2358723, 441298370]$	\(y^2=x^3-2358723x+441298370\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
265650.bf1	265650bf2	265650.bf	265650bf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$5.029221600$	$1$		$0$	$4423680$	$2.260330$	$486034459476995521/253095136942032$	$0.96830$	$4.03378$	$[1, 1, 0, -409500, 31752000]$	\(y^2+xy=x^3+x^2-409500x+31752000\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(3231/2, 117783/2)]$
340032.dg1	340032dg2	340032.dg	340032dg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{22} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$1$	$4$	$2$	$1$	$10616832$	$2.495331$	$486034459476995521/253095136942032$	$0.96830$	$4.17701$	$[0, -1, 0, -1048321, 131104513]$	\(y^2=x^3-x^2-1048321x+131104513\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[]$
340032.gl1	340032gl2	340032.gl	340032gl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{22} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$8.054405074$	$1$		$1$	$10616832$	$2.495331$	$486034459476995521/253095136942032$	$0.96830$	$4.17701$	$[0, 1, 0, -1048321, -131104513]$	\(y^2=x^3+x^2-1048321x-131104513\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(27101/5, 343476/5)]$
350658.eo1	350658eo2	350658.eo	350658eo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{18} \cdot 7^{6} \cdot 11^{7} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7084$	$12$	$0$	$13.63632057$	$1$		$0$	$53084160$	$3.203865$	$486034459476995521/253095136942032$	$0.96830$	$4.83288$	$[1, -1, 1, -17837843, 9182086499]$	\(y^2+xy+y=x^3-x^2-17837843x+9182086499\)	2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?	$[(13539241/35, 45981933234/35)]$