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
16830.a1	16830d1	16830.a	16830d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.582425833$	$1$		$7$	$153600$	$1.804893$	$63486961018176728187/21521824913600$	$1.01476$	$5.02452$	$[1, -1, 0, -249330, -47842924]$	\(y^2+xy=x^3-x^2-249330x-47842924\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-292, 166)]$
16830.by1	16830bv1	16830.by	16830bv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$0.198186173$	$1$		$13$	$460800$	$2.354198$	$63486961018176728187/21521824913600$	$1.01476$	$5.70192$	$[1, -1, 1, -2243972, 1294002919]$	\(y^2+xy+y=x^3-x^2-2243972x+1294002919\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(887, 491)]$
84150.dq1	84150n1	84150.dq	84150n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 11^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$11059200$	$3.158920$	$63486961018176728187/21521824913600$	$1.01476$	$5.74422$	$[1, -1, 0, -56099292, 161694265616]$	\(y^2+xy=x^3-x^2-56099292x+161694265616\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
84150.gx1	84150ea1	84150.gx	84150ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$5.653087774$	$1$		$3$	$3686400$	$2.609612$	$63486961018176728187/21521824913600$	$1.01476$	$5.16296$	$[1, -1, 1, -6233255, -5986598753]$	\(y^2+xy+y=x^3-x^2-6233255x-5986598753\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(19829, 2758960)]$
134640.cj1	134640ec1	134640.cj	134640ec	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$0.764485170$	$1$		$7$	$3686400$	$2.498039$	$63486961018176728187/21521824913600$	$1.01476$	$4.84413$	$[0, 0, 0, -3989283, 3065936418]$	\(y^2=x^3-3989283x+3065936418\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(559, 31790)]$
134640.fm1	134640dh1	134640.fm	134640dh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$11059200$	$3.047348$	$63486961018176728187/21521824913600$	$1.01476$	$5.40226$	$[0, 0, 0, -35903547, -82780283286]$	\(y^2=x^3-35903547x-82780283286\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
185130.cy1	185130fg1	185130.cy	185130fg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{11} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$13.45980968$	$1$		$1$	$55296000$	$3.553146$	$63486961018176728187/21521824913600$	$1.01476$	$5.76085$	$[1, -1, 0, -271520574, -1721503323820]$	\(y^2+xy=x^3-x^2-271520574x-1721503323820\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(4890390916/139, 340907486194558/139)]$
185130.ei1	185130cp1	185130.ei	185130cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{11} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$18432000$	$3.003841$	$63486961018176728187/21521824913600$	$1.01476$	$5.21738$	$[1, -1, 1, -30168953, 63769438681]$	\(y^2+xy+y=x^3-x^2-30168953x+63769438681\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$
286110.dk1	286110dk1	286110.dk	286110dk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 17^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.770762538$	$1$		$1$	$44236800$	$3.221500$	$63486961018176728187/21521824913600$	$1.01476$	$5.24449$	$[1, -1, 0, -72056424, -235340511232]$	\(y^2+xy=x^3-x^2-72056424x-235340511232\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-78587/4, 681709/4)]$
286110.ff1	286110ff1	286110.ff	286110ff	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$132710400$	$3.770805$	$63486961018176728187/21521824913600$	$1.01476$	$5.76913$	$[1, -1, 1, -648507818, 6354842311081]$	\(y^2+xy+y=x^3-x^2-648507818x+6354842311081\)	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[]$