Elliptic curves over $\Q$ of conductor 440

Results (9 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
440.a1	440a1	440.a	440a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11 \)	\( 2^{4} \cdot 5^{3} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.899574950$	$1$		$7$	$48$	$-0.200426$	$379275264/15125$	$1.01554$	$3.70087$	$[0, 0, 0, -38, -87]$	\(y^2=x^3-38x-87\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?	$[(-4, 1)]$
440.a2	440a2	440.a	440a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11 \)	\( - 2^{8} \cdot 5^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.799149900$	$1$		$5$	$96$	$0.146147$	$2122416/171875$	$1.06651$	$4.11503$	$[0, 0, 0, 17, -318]$	\(y^2=x^3+17x-318\)	2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?	$[(7, 12)]$
440.b1	440b2	440.b	440b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11 \)	\( 2^{8} \cdot 5 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.394888972$	$1$		$9$	$32$	$-0.272069$	$5256144/605$	$0.79186$	$3.45340$	$[0, 0, 0, -23, -38]$	\(y^2=x^3-23x-38\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?	$[(-3, 2)]$
440.b2	440b1	440.b	440b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11 \)	\( - 2^{4} \cdot 5^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.789777945$	$1$		$5$	$16$	$-0.618643$	$55296/275$	$0.96856$	$2.58271$	$[0, 0, 0, 2, -3]$	\(y^2=x^3+2x-3\)	2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?	$[(2, 3)]$
440.c1	440c3	440.c	440c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11 \)	\( 2^{10} \cdot 5^{3} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.57	2B	$880$	$192$	$3$	$1$	$1$		$1$	$1152$	$1.268106$	$46424454082884/26794860125$	$1.13955$	$6.30881$	$[0, 0, 0, -7547, -12986]$	\(y^2=x^3-7547x-12986\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 10.6.0.a.1, 20.24.0-20.g.1.1, $\ldots$	$[]$
440.c2	440c2	440.c	440c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11 \)	\( 2^{8} \cdot 5^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$440$	$192$	$3$	$1$	$1$		$3$	$576$	$0.921533$	$55537159171536/228765625$	$1.14096$	$6.11050$	$[0, 0, 0, -5047, 137514]$	\(y^2=x^3-5047x+137514\)	2.6.0.a.1, 4.24.0-4.a.1.1, 20.48.0-20.b.1.1, 40.96.0-40.g.1.5, 88.48.0.?, $\ldots$	$[]$
440.c3	440c1	440.c	440c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11 \)	\( 2^{4} \cdot 5^{3} \cdot 11^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.47	2B	$880$	$192$	$3$	$1$	$1$		$3$	$288$	$0.574959$	$885956203616256/15125$	$1.05882$	$6.11001$	$[0, 0, 0, -5042, 137801]$	\(y^2=x^3-5042x+137801\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 10.6.0.a.1, 20.24.0-20.g.1.2, $\ldots$	$[]$
440.c4	440c4	440.c	440c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11 \)	\( - 2^{10} \cdot 5^{12} \cdot 11^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$880$	$192$	$3$	$1$	$1$		$3$	$1152$	$1.268106$	$-1957960715364/29541015625$	$1.10389$	$6.33059$	$[0, 0, 0, -2627, 269646]$	\(y^2=x^3-2627x+269646\)	2.3.0.a.1, 4.24.0-4.d.1.1, 40.48.0-40.w.1.1, 44.48.0-44.d.1.2, 80.96.0.?, $\ldots$	$[]$
440.d1	440d1	440.d	440d	$1$	$1$	\( 2^{3} \cdot 5 \cdot 11 \)	\( - 2^{11} \cdot 5^{3} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$144$	$-0.017441$	$-16241202/1375$	$0.86555$	$4.00281$	$[0, 0, 0, -67, -226]$	\(y^2=x^3-67x-226\)	440.2.0.?	$[]$