Elliptic curve search results

Results (10 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
35490.p2	35490w2	35490.p	35490w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.645874455$	$1$		$20$	$215040$	$1.409672$	$-28011371653/77519531250$	$1.05228$	$3.83922$	$[1, 1, 0, -822, 627606]$	\(y^2+xy=x^3+x^2-822x+627606\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-33, 804), (-73, 589)]$
35490.cf2	35490cg2	35490.cf	35490cg	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$14.30644527$	$1$		$0$	$2795520$	$2.692146$	$-28011371653/77519531250$	$1.05228$	$5.30813$	$[1, 1, 1, -139006, 1379545253]$	\(y^2+xy+y=x^3+x^2-139006x+1379545253\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(4028387/34, 8103311541/34)]$
106470.bv2	106470cr2	106470.bv	106470cr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$0$	$22364160$	$3.241451$	$-28011371653/77519531250$	$1.05228$	$5.37379$	$[1, -1, 0, -1251054, -37248972890]$	\(y^2+xy=x^3-x^2-1251054x-37248972890\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
106470.eu2	106470fd2	106470.eu	106470fd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$10.02174195$	$1$		$0$	$1720320$	$1.958977$	$-28011371653/77519531250$	$1.05228$	$4.04430$	$[1, -1, 1, -7403, -16952763]$	\(y^2+xy+y=x^3-x^2-7403x-16952763\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(41559/10, 6976407/10)]$
177450.fe2	177450hc2	177450.fe	177450hc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{16} \cdot 7^{2} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$4$	$2$	$0$	$67092480$	$3.496864$	$-28011371653/77519531250$	$1.05228$	$5.40026$	$[1, 0, 1, -3475151, 172450106948]$	\(y^2+xy+y=x^3-3475151x+172450106948\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
177450.ia2	177450bk2	177450.ia	177450bk	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{16} \cdot 7^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$0$	$5160960$	$2.214390$	$-28011371653/77519531250$	$1.05228$	$4.12695$	$[1, 0, 0, -20563, 78491867]$	\(y^2+xy=x^3-20563x+78491867\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
248430.cs2	248430cs2	248430.cs	248430cs	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$0$	$10321920$	$2.382626$	$-28011371653/77519531250$	$1.05228$	$4.17769$	$[1, 0, 1, -40304, -215389744]$	\(y^2+xy+y=x^3-40304x-215389744\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
248430.ki2	248430ki2	248430.ki	248430ki	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$4$	$2$	$0$	$134184960$	$3.665100$	$-28011371653/77519531250$	$1.05228$	$5.41650$	$[1, 0, 0, -6811295, -473204455725]$	\(y^2+xy=x^3-6811295x-473204455725\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
283920.fi2	283920fi2	283920.fi	283920fi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$9.650509823$	$1$		$3$	$67092480$	$3.385292$	$-28011371653/77519531250$	$1.05228$	$5.09149$	$[0, 1, 0, -2224096, -88295344396]$	\(y^2=x^3+x^2-2224096x-88295344396\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(243740, 120332142)]$
283920.hk2	283920hk2	283920.hk	283920hk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.585537738$	$1$		$11$	$5160960$	$2.102818$	$-28011371653/77519531250$	$1.05228$	$3.86585$	$[0, 1, 0, -13160, -40193100]$	\(y^2=x^3+x^2-13160x-40193100\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(550, 10920)]$

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