Elliptic curve search results

Results (20 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	Manin constant
81120.a2	81120g1	81120.a	81120g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$838656$	$1.814287$	$131096512/18225$	$0.91035$	$4.06371$	$[0, -1, 0, -93006, -9485100]$	\(y^2=x^3-x^2-93006x-9485100\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
81120.ba2	81120bn1	81120.ba	81120bn	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$64512$	$0.531813$	$131096512/18225$	$0.91035$	$2.70223$	$[0, -1, 0, -550, -4148]$	\(y^2=x^3-x^2-550x-4148\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
81120.bp2	81120bt1	81120.bp	81120bt	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$838656$	$1.814287$	$131096512/18225$	$0.91035$	$4.06371$	$[0, 1, 0, -93006, 9485100]$	\(y^2=x^3+x^2-93006x+9485100\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
81120.br2	81120y1	81120.br	81120y	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.729605226$	$1$		$19$	$64512$	$0.531813$	$131096512/18225$	$0.91035$	$2.70223$	$[0, 1, 0, -550, 4148]$	\(y^2=x^3+x^2-550x+4148\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(26, 90), (8, 18)]$	$1$
162240.f1	162240hr2	162240.f	162240hr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.395105135$	$1$		$13$	$258048$	$0.878386$	$131096512/18225$	$0.91035$	$2.89277$	$[0, -1, 0, -2201, 35385]$	\(y^2=x^3-x^2-2201x+35385\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(8, 135), (48, 195)]$	$1$
162240.eb1	162240hl2	162240.eb	162240hl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$6.183420610$	$1$		$3$	$3354624$	$2.160862$	$131096512/18225$	$0.91035$	$4.17558$	$[0, -1, 0, -372025, 76252825]$	\(y^2=x^3-x^2-372025x+76252825\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(-573, 10048)]$	$1$
162240.ga1	162240gp2	162240.ga	162240gp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.136424516$	$1$		$5$	$258048$	$0.878386$	$131096512/18225$	$0.91035$	$2.89277$	$[0, 1, 0, -2201, -35385]$	\(y^2=x^3+x^2-2201x-35385\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(82, 585)]$	$1$
162240.gj1	162240em2	162240.gj	162240em	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$3354624$	$2.160862$	$131096512/18225$	$0.91035$	$4.17558$	$[0, 1, 0, -372025, -76252825]$	\(y^2=x^3+x^2-372025x-76252825\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
243360.e2	243360e1	243360.e	243360e	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.595309921$	$1$		$13$	$516096$	$1.081118$	$131096512/18225$	$0.91035$	$2.99435$	$[0, 0, 0, -4953, -116948]$	\(y^2=x^3-4953x-116948\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(-39, 130), (-49, 90)]$	$1$
243360.cp2	243360cp1	243360.cp	243360cp	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.409803764$	$1$		$5$	$516096$	$1.081118$	$131096512/18225$	$0.91035$	$2.99435$	$[0, 0, 0, -4953, 116948]$	\(y^2=x^3-4953x+116948\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(13, 234)]$	$1$
243360.cz2	243360cz1	243360.cz	243360cz	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.959288089$	$1$		$3$	$6709248$	$2.363594$	$131096512/18225$	$0.91035$	$4.23523$	$[0, 0, 0, -837057, 256934756]$	\(y^2=x^3-837057x+256934756\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(352, 2430)]$	$1$
243360.fe2	243360fe1	243360.fe	243360fe	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$4$	$2$	$1$	$6709248$	$2.363594$	$131096512/18225$	$0.91035$	$4.23523$	$[0, 0, 0, -837057, -256934756]$	\(y^2=x^3-837057x-256934756\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
405600.p2	405600p1	405600.p	405600p	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$4$	$2$	$1$	$20127744$	$2.619007$	$131096512/18225$	$0.91035$	$4.30504$	$[0, -1, 0, -2325158, 1190287812]$	\(y^2=x^3-x^2-2325158x+1190287812\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
405600.dh2	405600dh1	405600.dh	405600dh	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.246352987$	$1$		$3$	$1548288$	$1.336531$	$131096512/18225$	$0.91035$	$3.11325$	$[0, -1, 0, -13758, 546012]$	\(y^2=x^3-x^2-13758x+546012\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(-13, 850)]$	$1$
405600.dy2	405600dy1	405600.dy	405600dy	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.897717119$	$1$		$5$	$1548288$	$1.336531$	$131096512/18225$	$0.91035$	$3.11325$	$[0, 1, 0, -13758, -546012]$	\(y^2=x^3+x^2-13758x-546012\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(-48, 78)]$	$1$
405600.gr2	405600gr1	405600.gr	405600gr	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$20127744$	$2.619007$	$131096512/18225$	$0.91035$	$4.30504$	$[0, 1, 0, -2325158, -1190287812]$	\(y^2=x^3+x^2-2325158x-1190287812\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
486720.o1	486720o2	486720.o	486720o	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.595240489$	$1$		$5$	$26836992$	$2.710167$	$131096512/18225$	$0.91035$	$4.32864$	$[0, 0, 0, -3348228, 2055478048]$	\(y^2=x^3-3348228x+2055478048\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(2324, 82620)]$	$1$
486720.hx1	486720hx2	486720.hx	486720hx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$12.32597207$	$1$		$1$	$26836992$	$2.710167$	$131096512/18225$	$0.91035$	$4.32864$	$[0, 0, 0, -3348228, -2055478048]$	\(y^2=x^3-3348228x-2055478048\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[(15869269/87, 7815201355/87)]$	$1$
486720.jb1	486720jb2	486720.jb	486720jb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.427692$	$131096512/18225$	$0.91035$	$3.15344$	$[0, 0, 0, -19812, -935584]$	\(y^2=x^3-19812x-935584\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$
486720.qj1	486720qj2	486720.qj	486720qj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.427692$	$131096512/18225$	$0.91035$	$3.15344$	$[0, 0, 0, -19812, 935584]$	\(y^2=x^3-19812x+935584\)	2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.?	$[ ]$	$1$

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