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.bn1	35490bs1	35490.bn	35490bs	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$1290240$	$2.593533$	$307903452713493241418533/1106380800000$	$1.04612$	$5.89662$	$[1, 0, 1, -18288313, -30104439844]$	\(y^2+xy+y=x^3-18288313x-30104439844\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[ ]$
35490.dg1	35490dh1	35490.dg	35490dh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$9.240214968$	$1$		$3$	$16773120$	$3.876007$	$307903452713493241418533/1106380800000$	$1.04612$	$7.36552$	$[1, 0, 0, -3090724816, -66136363611904]$	\(y^2+xy=x^3-3090724816x-66136363611904\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(219908, 99332732)]$
106470.ct1	106470da1	106470.ct	106470da	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{5} \cdot 7^{4} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.886792078$	$1$		$7$	$134184960$	$4.425316$	$307903452713493241418533/1106380800000$	$1.04612$	$7.23592$	$[1, -1, 0, -27816523344, 1785681817521408]$	\(y^2+xy=x^3-x^2-27816523344x+1785681817521408\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(96297, -47361)]$
106470.du1	106470ej1	106470.du	106470ej	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{8} \cdot 5^{5} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$10321920$	$3.142841$	$307903452713493241418533/1106380800000$	$1.04612$	$5.90643$	$[1, -1, 1, -164594813, 812819875781]$	\(y^2+xy+y=x^3-x^2-164594813x+812819875781\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[ ]$
177450.y1	177450jz1	177450.y	177450jz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{11} \cdot 7^{4} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$9$	$3$	$1$	$402554880$	$4.680725$	$307903452713493241418533/1106380800000$	$1.04612$	$7.18369$	$[1, 1, 0, -77268120400, -8267045451488000]$	\(y^2+xy=x^3+x^2-77268120400x-8267045451488000\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[ ]$
177450.ha1	177450dq1	177450.ha	177450dq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{11} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$30965760$	$3.398254$	$307903452713493241418533/1106380800000$	$1.04612$	$5.91039$	$[1, 1, 1, -457207813, -3763054980469]$	\(y^2+xy+y=x^3+x^2-457207813x-3763054980469\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[ ]$
248430.k1	248430k1	248430.k	248430k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 7^{10} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$3.000354499$	$1$		$3$	$61931520$	$3.566490$	$307903452713493241418533/1106380800000$	$1.04612$	$5.91281$	$[1, 1, 0, -896127313, 10324926739093]$	\(y^2+xy=x^3+x^2-896127313x+10324926739093\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(31618, 3672127)]$
248430.ho1	248430ho1	248430.ho	248430ho	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 7^{10} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1.366923378$	$1$		$7$	$805109760$	$4.848961$	$307903452713493241418533/1106380800000$	$1.04612$	$7.15163$	$[1, 1, 1, -151445515985, 22684621273367087]$	\(y^2+xy+y=x^3+x^2-151445515985x+22684621273367087\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(224447, 79856)]$
283920.j1	283920j1	283920.j	283920j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$16.08178964$	$1$		$1$	$402554880$	$4.569153$	$307903452713493241418533/1106380800000$	$1.04612$	$6.80817$	$[0, -1, 0, -49451597056, 4232727271161856]$	\(y^2=x^3-x^2-49451597056x+4232727271161856\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(31539273088/509, 539908021976064/509)]$
283920.dx1	283920dx1	283920.dx	283920dx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.590955129$	$1$		$9$	$30965760$	$3.286682$	$307903452713493241418533/1106380800000$	$1.04612$	$5.58253$	$[0, -1, 0, -292613000, 1926684150000]$	\(y^2=x^3-x^2-292613000x+1926684150000\)	2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?	$[(9850, 4550)]$

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