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
23562.r1	23562c2	23562.r	23562c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{9} \cdot 7^{8} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$387072$	$1.990705$	$198631853028508563/1517849044096$	$0.95368$	$4.93849$	$[1, -1, 0, -328200, 71972288]$	\(y^2+xy=x^3-x^2-328200x+71972288\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[ ]$
23562.t1	23562y2	23562.t	23562y	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{3} \cdot 7^{8} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.326220472$	$1$		$12$	$129024$	$1.441399$	$198631853028508563/1517849044096$	$0.95368$	$4.28374$	$[1, -1, 1, -36467, -2653485]$	\(y^2+xy+y=x^3-x^2-36467x-2653485\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[(-105, 150)]$
164934.a1	164934dx2	164934.a	164934dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{9} \cdot 7^{14} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$12.70417663$	$1$		$0$	$18579456$	$2.963661$	$198631853028508563/1517849044096$	$0.95368$	$5.11044$	$[1, -1, 0, -16081809, -24654331171]$	\(y^2+xy=x^3-x^2-16081809x-24654331171\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[(-522911/15, 47125508/15)]$
164934.eh1	164934cn2	164934.eh	164934cn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{7} \cdot 3^{3} \cdot 7^{14} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$6193152$	$2.414356$	$198631853028508563/1517849044096$	$0.95368$	$4.56174$	$[1, -1, 1, -1786868, 913718999]$	\(y^2+xy+y=x^3-x^2-1786868x+913718999\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[ ]$
188496.b1	188496bw2	188496.b	188496bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{19} \cdot 3^{3} \cdot 7^{8} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.369339977$	$1$		$5$	$3096576$	$2.134548$	$198631853028508563/1517849044096$	$0.95368$	$4.23516$	$[0, 0, 0, -583467, 170406490]$	\(y^2=x^3-583467x+170406490\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[(503, 2046)]$
188496.dx1	188496cs2	188496.dx	188496cs	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{19} \cdot 3^{9} \cdot 7^{8} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$13.10848753$	$1$		$1$	$9289728$	$2.683853$	$198631853028508563/1517849044096$	$0.95368$	$4.77783$	$[0, 0, 0, -5251203, -4600975230]$	\(y^2=x^3-5251203x-4600975230\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[(7228290/31, 18399111390/31)]$
259182.b1	259182b2	259182.b	259182b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{7} \cdot 3^{3} \cdot 7^{8} \cdot 11^{8} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$9.199688124$	$1$		$10$	$15482880$	$2.640347$	$198631853028508563/1517849044096$	$0.95368$	$4.61389$	$[1, -1, 0, -4412469, 3545025589]$	\(y^2+xy=x^3-x^2-4412469x+3545025589\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[(1323, 3997), (2291, 72725)]$
259182.gl1	259182gl2	259182.gl	259182gl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{7} \cdot 3^{9} \cdot 7^{8} \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$0$	$46448640$	$3.189651$	$198631853028508563/1517849044096$	$0.95368$	$5.14269$	$[1, -1, 1, -39712223, -95675978681]$	\(y^2+xy+y=x^3-x^2-39712223x-95675978681\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[ ]$
400554.d1	400554d2	400554.d	400554d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \)	\( 2^{7} \cdot 3^{9} \cdot 7^{8} \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$111476736$	$3.407310$	$198631853028508563/1517849044096$	$0.95368$	$5.17162$	$[1, -1, 0, -94849854, 353220451604]$	\(y^2+xy=x^3-x^2-94849854x+353220451604\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[ ]$
400554.fr1	400554fr2	400554.fr	400554fr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \)	\( 2^{7} \cdot 3^{3} \cdot 7^{8} \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$0$	$37158912$	$2.858006$	$198631853028508563/1517849044096$	$0.95368$	$4.66066$	$[1, -1, 1, -10538873, -13078725991]$	\(y^2+xy+y=x^3-x^2-10538873x-13078725991\)	2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.?	$[ ]$

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