Elliptic curves over $\Q$ of conductor 1935

Results (19 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
1935.a1	1935i1	1935.a	1935i	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{20} \cdot 5^{2} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$21504$	$1.835581$	$-522547125460258816/9506987907075$	$1.00952$	$6.26599$	$[0, 0, 1, -151023, -22942166]$	\(y^2+y=x^3-151023x-22942166\)	86.2.0.?	$[]$
1935.b1	1935b2	1935.b	1935b	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{3} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.035719648$	$1$		$4$	$256$	$-0.107594$	$2315685267/9245$	$1.00157$	$3.28479$	$[1, -1, 1, -83, -268]$	\(y^2+xy+y=x^3-x^2-83x-268\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-5, 3)]$
1935.b2	1935b1	1935.b	1935b	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{3} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.517859824$	$1$		$9$	$128$	$-0.454167$	$1860867/1075$	$0.91503$	$2.34312$	$[1, -1, 1, -8, 2]$	\(y^2+xy+y=x^3-x^2-8x+2\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(0, 1)]$
1935.c1	1935a2	1935.c	1935a	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{3} \cdot 5^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$13.91270417$	$1$		$0$	$17920$	$1.831232$	$8000051600110940079507/144453125$	$1.03953$	$7.09970$	$[1, -1, 1, -1250003, -537603588]$	\(y^2+xy+y=x^3-x^2-1250003x-537603588\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(9790979/65, 25744593603/65)]$
1935.c2	1935a1	1935.c	1935a	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{3} \cdot 5^{14} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$6.956352087$	$1$		$1$	$8960$	$1.484657$	$1953326569433829507/262451171875$	$1.01058$	$6.00062$	$[1, -1, 1, -78128, -8384838]$	\(y^2+xy+y=x^3-x^2-78128x-8384838\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-7936/7, 36282/7)]$
1935.d1	1935f1	1935.d	1935f	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{9} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$576$	$0.191958$	$1263214441/29025$	$0.85169$	$3.64021$	$[1, -1, 1, -203, -1038]$	\(y^2+xy+y=x^3-x^2-203x-1038\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
1935.d2	1935f2	1935.d	1935f	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$1152$	$0.538531$	$1685159/6739605$	$1.19354$	$3.93371$	$[1, -1, 1, 22, -3378]$	\(y^2+xy+y=x^3-x^2+22x-3378\)	2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?	$[]$
1935.e1	1935k3	1935.e	1935k	$4$	$4$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{7} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$0$	$1408$	$0.735950$	$36097320816649/80625$	$0.94094$	$4.99598$	$[1, -1, 1, -6197, -186204]$	\(y^2+xy+y=x^3-x^2-6197x-186204\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 258.6.0.?, 516.24.0.?, $\ldots$	$[]$
1935.e2	1935k4	1935.e	1935k	$4$	$4$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{7} \cdot 5 \cdot 43^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$1$	$1$		$2$	$1408$	$0.735950$	$184122897769/51282015$	$1.05622$	$4.29851$	$[1, -1, 1, -1067, 9924]$	\(y^2+xy+y=x^3-x^2-1067x+9924\)	2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 1032.24.0.?, 1720.24.0.?, $\ldots$	$[]$
1935.e3	1935k2	1935.e	1935k	$4$	$4$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{8} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2580$	$48$	$0$	$1$	$1$		$2$	$704$	$0.389377$	$9116230969/416025$	$0.87424$	$3.90137$	$[1, -1, 1, -392, -2766]$	\(y^2+xy+y=x^3-x^2-392x-2766\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 516.24.0.?, 860.24.0.?, $\ldots$	$[]$
1935.e4	1935k1	1935.e	1935k	$4$	$4$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{10} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$352$	$0.042803$	$357911/17415$	$0.85974$	$3.14481$	$[1, -1, 1, 13, -174]$	\(y^2+xy+y=x^3-x^2+13x-174\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
1935.f1	1935e1	1935.f	1935e	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{18} \cdot 5^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$12288$	$1.715067$	$660867352100864/8926548046875$	$1.07121$	$5.79063$	$[0, 0, 1, 16332, -3797127]$	\(y^2+y=x^3+16332x-3797127\)	86.2.0.?	$[]$
1935.g1	1935j1	1935.g	1935j	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{6} \cdot 5^{4} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$0.159403169$	$1$		$8$	$256$	$0.105094$	$-56623104/26875$	$0.99851$	$3.30906$	$[0, 0, 1, -72, 317]$	\(y^2+y=x^3-72x+317\)	86.2.0.?	$[(-3, 22)]$
1935.h1	1935d2	1935.h	1935d	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{9} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$768$	$0.441712$	$2315685267/9245$	$1.00157$	$4.15579$	$[1, -1, 0, -744, 7973]$	\(y^2+xy=x^3-x^2-744x+7973\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
1935.h2	1935d1	1935.h	1935d	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{9} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$384$	$0.095139$	$1860867/1075$	$0.91503$	$3.21413$	$[1, -1, 0, -69, 8]$	\(y^2+xy=x^3-x^2-69x+8\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
1935.i1	1935c2	1935.i	1935c	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{9} \cdot 5^{7} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$53760$	$2.380539$	$8000051600110940079507/144453125$	$1.03953$	$7.97071$	$[1, -1, 0, -11250024, 14526546893]$	\(y^2+xy=x^3-x^2-11250024x+14526546893\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
1935.i2	1935c1	1935.i	1935c	$2$	$2$	\( 3^{2} \cdot 5 \cdot 43 \)	\( 3^{9} \cdot 5^{14} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$26880$	$2.033962$	$1953326569433829507/262451171875$	$1.01058$	$6.87163$	$[1, -1, 0, -703149, 227093768]$	\(y^2+xy=x^3-x^2-703149x+227093768\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
1935.j1	1935h1	1935.j	1935h	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$1536$	$0.361751$	$99897344/783675$	$0.89128$	$3.63927$	$[0, 0, 1, 87, -1107]$	\(y^2+y=x^3+87x-1107\)	86.2.0.?	$[]$
1935.k1	1935g1	1935.k	1935g	$1$	$1$	\( 3^{2} \cdot 5 \cdot 43 \)	\( - 3^{12} \cdot 5^{2} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1$	$1$		$0$	$9216$	$1.391771$	$-645008376471556096/783675$	$1.01002$	$6.28972$	$[0, 0, 1, -162003, 25097629]$	\(y^2+y=x^3-162003x+25097629\)	86.2.0.?	$[]$