Elliptic curves over $\Q$ of conductor 28980

Results (15 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
28980.a1	28980b1	28980.a	28980b	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$151200$	$1.645435$	$11601902526464/14175546875$	$0.93513$	$4.11944$	$[0, 0, 0, 26952, -1795372]$	\(y^2=x^3+26952x-1795372\)	70.2.0.a.1	$[]$
28980.b1	28980a1	28980.b	28980a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{29} \cdot 5^{2} \cdot 7 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1$	$1$		$0$	$17681664$	$4.059021$	$-6218589009063615570313216/56094690913037211867075$	$1.07844$	$7.01115$	$[0, 0, 0, -218933328, -5078144713052]$	\(y^2=x^3-218933328x-5078144713052\)	966.2.0.?	$[]$
28980.c1	28980d1	28980.c	28980d	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$966$	$2$	$0$	$1.433076002$	$1$		$2$	$42240$	$1.058823$	$-615640662016/978075$	$0.90763$	$3.82365$	$[0, 0, 0, -10128, 392852]$	\(y^2=x^3-10128x+392852\)	966.2.0.?	$[(61, 45)]$
28980.d1	28980c1	28980.d	28980c	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$806400$	$2.496201$	$7384729019637956864/6036585758984375$	$0.98302$	$5.14000$	$[0, 0, 0, 920067, -218177507]$	\(y^2=x^3+920067x-218177507\)	46.2.0.a.1	$[]$
28980.e1	28980e1	28980.e	28980e	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$138$	$16$	$0$	$13.78654222$	$1$		$0$	$1062720$	$2.589531$	$-126142795384287538429696/9315359375$	$1.00310$	$6.08855$	$[0, 0, 0, -23695293, -44395733783]$	\(y^2=x^3-23695293x-44395733783\)	3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.?	$[(60295216/99, 200411480375/99)]$
28980.e2	28980e2	28980.e	28980e	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$138$	$16$	$0$	$4.595514074$	$1$		$4$	$3188160$	$3.138836$	$-122372013839654770813696/5297595236711512175$	$1.00374$	$6.09262$	$[0, 0, 0, -23456793, -45333186383]$	\(y^2=x^3-23456793x-45333186383\)	3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.?	$[(43341, 8963905)]$
28980.f1	28980f1	28980.f	28980f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.414003660$	$1$		$9$	$55296$	$1.312967$	$339251313639424/173578125$	$0.96516$	$4.16785$	$[0, 0, 0, -32952, 2301329]$	\(y^2=x^3-32952x+2301329\)	2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?	$[(98, 115)]$
28980.f2	28980f2	28980.f	28980f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.207001830$	$1$		$13$	$110592$	$1.659542$	$-12092945312464/15426235125$	$0.89510$	$4.22654$	$[0, 0, 0, -27327, 3112454]$	\(y^2=x^3-27327x+3112454\)	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-137, 2070)]$
28980.g1	28980g1	28980.g	28980g	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.182172680$	$1$		$2$	$12096$	$0.324167$	$-15185664/28175$	$0.71752$	$2.66067$	$[0, 0, 0, -117, -999]$	\(y^2=x^3-117x-999\)	46.2.0.a.1	$[(16, 35)]$
28980.h1	28980j1	28980.h	28980j	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$138240$	$1.500910$	$7124261256822784/475453125$	$1.02653$	$4.46417$	$[0, 0, 0, -90912, -10550059]$	\(y^2=x^3-90912x-10550059\)	2.3.0.a.1, 20.6.0.b.1, 138.6.0.?, 1380.12.0.?	$[]$
28980.h2	28980j2	28980.h	28980j	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.847483$	$-367624742361424/115740505125$	$0.90862$	$4.48781$	$[0, 0, 0, -85287, -11912434]$	\(y^2=x^3-85287x-11912434\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
28980.i1	28980h1	28980.i	28980h	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.681703838$	$1$		$7$	$135168$	$1.691988$	$1163923388486385664/4141725$	$1.04713$	$4.96017$	$[0, 0, 0, -496992, 134856601]$	\(y^2=x^3-496992x+134856601\)	2.3.0.a.1, 20.6.0.b.1, 138.6.0.?, 1380.12.0.?	$[(402, 175)]$
28980.i2	28980h2	28980.i	28980h	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.340851919$	$1$		$11$	$270336$	$2.038563$	$-72646456083703504/137231087805$	$0.93583$	$4.96036$	$[0, 0, 0, -496767, 134984806]$	\(y^2=x^3-496767x+134984806\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(215, 6174)]$
28980.j1	28980i2	28980.j	28980i	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{9} \cdot 23 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$966$	$16$	$0$	$0.430703211$	$1$		$14$	$933120$	$2.610992$	$-23618971583050153984/391556092921875$	$1.05116$	$5.52576$	$[0, 0, 0, -3415872, 2464527364]$	\(y^2=x^3-3415872x+2464527364\)	3.8.0-3.a.1.2, 966.16.0.?	$[(68, 47250)]$
28980.j2	28980i1	28980.j	28980i	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{15} \cdot 5^{2} \cdot 7^{3} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$966$	$16$	$0$	$1.292109634$	$1$		$2$	$311040$	$2.061687$	$2477112820760576/2053567248075$	$1.03966$	$4.63121$	$[0, 0, 0, 161088, 16366516]$	\(y^2=x^3+161088x+16366516\)	3.8.0-3.a.1.1, 966.16.0.?	$[(797, 25515)]$