Elliptic curve search results

Results (12 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
95220.a1	95220c1	95220.a	95220c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$0.688679843$	$1$		$11$	$359424$	$1.534472$	$62200479744/625$	$1.23958$	$4.09285$	$[0, 0, 0, -129168, 17868033]$	\(y^2=x^3-129168x+17868033\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(184, 575)]$
95220.q1	95220b1	95220.q	95220b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$12.81458738$	$1$		$1$	$2755584$	$2.552914$	$62200479744/625$	$1.23958$	$5.15891$	$[0, 0, 0, -7592208, 8051865093]$	\(y^2=x^3-7592208x+8051865093\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(7243899/61, 5785297500/61)]$
95220.s1	95220f1	95220.s	95220f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$1$	$1$		$1$	$119808$	$0.985166$	$62200479744/625$	$1.23958$	$3.51786$	$[0, 0, 0, -14352, -661779]$	\(y^2=x^3-14352x-661779\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[]$
95220.bf1	95220e1	95220.bf	95220e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$1$	$9$	$3$	$1$	$8266752$	$3.102219$	$62200479744/625$	$1.23958$	$5.73391$	$[0, 0, 0, -68329872, -217400357511]$	\(y^2=x^3-68329872x-217400357511\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[]$
380880.i1	380880i1	380880.i	380880i	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$31.49751790$	$1$		$1$	$11022336$	$2.552914$	$62200479744/625$	$1.23958$	$4.60237$	$[0, 0, 0, -7592208, -8051865093]$	\(y^2=x^3-7592208x-8051865093\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(310831799339061/254341, 4239842333524786707900/254341)]$
380880.di1	380880di1	380880.di	380880di	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$21.86191645$	$1$		$1$	$1437696$	$1.534472$	$62200479744/625$	$1.23958$	$3.65131$	$[0, 0, 0, -129168, -17868033]$	\(y^2=x^3-129168x-17868033\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(67669799769/8053, 16378032173856300/8053)]$
380880.do1	380880do1	380880.do	380880do	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$1$	$1$		$1$	$33067008$	$3.102219$	$62200479744/625$	$1.23958$	$5.11533$	$[0, 0, 0, -68329872, 217400357511]$	\(y^2=x^3-68329872x+217400357511\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[]$
380880.gk1	380880gk1	380880.gk	380880gk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$1$	$1$		$1$	$479232$	$0.985166$	$62200479744/625$	$1.23958$	$3.13835$	$[0, 0, 0, -14352, 661779]$	\(y^2=x^3-14352x+661779\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[]$
476100.d1	476100d1	476100.d	476100d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$3.902068442$	$1$		$3$	$66134016$	$3.357632$	$62200479744/625$	$1.23958$	$5.26246$	$[0, 0, 0, -189805200, 1006483136625]$	\(y^2=x^3-189805200x+1006483136625\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(6720, 185625)]$
476100.m1	476100m1	476100.m	476100m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$65.67938443$	$1$		$1$	$198402048$	$3.906937$	$62200479744/625$	$1.23958$	$5.76666$	$[0, 0, 0, -1708246800, -27175044688875]$	\(y^2=x^3-1708246800x-27175044688875\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(-6953503675861260423307399508765/17075793744727, 73826548349684001864326937065115792728157500/17075793744727)]$
476100.cz1	476100cz1	476100.cz	476100cz	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$6.895450919$	$1$		$3$	$8626176$	$2.339191$	$62200479744/625$	$1.23958$	$4.32764$	$[0, 0, 0, -3229200, 2233504125]$	\(y^2=x^3-3229200x+2233504125\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(118795, 40940000)]$
476100.df1	476100df1	476100.df	476100df	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.34	2B	$5520$	$96$	$5$	$4.400222470$	$1$		$1$	$2875392$	$1.789885$	$62200479744/625$	$1.23958$	$3.82343$	$[0, 0, 0, -358800, -82722375]$	\(y^2=x^3-358800x-82722375\)	2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$	$[(11385/4, 301875/4)]$