Elliptic curve search results

Results (10 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
76440.bh2	76440p2	76440.bh	76440p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.000957354$	$1$		$5$	$774144$	$2.051228$	$53247522512/32131125$	$0.92949$	$4.24720$	$[0, -1, 0, 170700, -5667948]$	\(y^2=x^3-x^2+170700x-5667948\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(202, 6084)]$
76440.ch2	76440bd2	76440.ch	76440bd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.078272$	$53247522512/32131125$	$0.92949$	$3.20885$	$[0, 1, 0, 3484, 17520]$	\(y^2=x^3+x^2+3484x+17520\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
152880.n2	152880hu2	152880.n	152880hu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.287002531$	$1$		$7$	$221184$	$1.078272$	$53247522512/32131125$	$0.92949$	$3.02253$	$[0, -1, 0, 3484, -17520]$	\(y^2=x^3-x^2+3484x-17520\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(44, 468)]$
152880.gi2	152880fp2	152880.gi	152880fp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$1548288$	$2.051228$	$53247522512/32131125$	$0.92949$	$4.00058$	$[0, 1, 0, 170700, 5667948]$	\(y^2=x^3+x^2+170700x+5667948\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
229320.k2	229320bh2	229320.k	229320bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.600533$	$53247522512/32131125$	$0.92949$	$4.40321$	$[0, 0, 0, 1536297, 151498298]$	\(y^2=x^3+1536297x+151498298\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
229320.cx2	229320d2	229320.cx	229320d	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.571004782$	$1$		$35$	$884736$	$1.627579$	$53247522512/32131125$	$0.92949$	$3.45728$	$[0, 0, 0, 31353, -441686]$	\(y^2=x^3+31353x-441686\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(53, 1170), (365, 7722)]$
382200.eh2	382200eh2	382200.eh	382200eh	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 7^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.088551829$	$1$		$7$	$2654208$	$1.882992$	$53247522512/32131125$	$0.92949$	$3.55833$	$[0, -1, 0, 87092, 2015812]$	\(y^2=x^3-x^2+87092x+2015812\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(12, 1750)]$
382200.ji2	382200ji2	382200.ji	382200ji	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.087477073$	$1$		$3$	$18579456$	$2.855946$	$53247522512/32131125$	$0.92949$	$4.46667$	$[0, 1, 0, 4267492, -699958512]$	\(y^2=x^3+x^2+4267492x-699958512\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(3322, 223938)]$
458640.fv2	458640fv2	458640.fv	458640fv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$10.34916653$	$1$		$1$	$12386304$	$2.600533$	$53247522512/32131125$	$0.92949$	$4.16908$	$[0, 0, 0, 1536297, -151498298]$	\(y^2=x^3+1536297x-151498298\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(113201/8, 46078551/8)]$
458640.np2	458640np2	458640.np	458640np	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.758802162$	$1$		$7$	$1769472$	$1.627579$	$53247522512/32131125$	$0.92949$	$3.27345$	$[0, 0, 0, 31353, 441686]$	\(y^2=x^3+31353x+441686\)	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(77, 1820)]$