Cremona's table of elliptic curves

8118 = 2 · 3² · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
8118a (4 curves)	0	2+ 3- 11+ 41+	2+ 3-  2  0 11+ -6  6 -4
Curve Equation t 8118a1 [1,-1,0,-3051,-52731] 2 8118a2 [1,-1,0,-14571,631557] 4 8118a3 [1,-1,0,-228411,42073749] 2 8118a4 [1,-1,0,14949,2845557] 2
8118b (2 curves)	1	2+ 3- 11+ 41-	2+ 3-  0 -2 11+  2  6  0
Curve Equation t Generators 8118b1 [1,-1,0,-747,-5423] 2 [-19:50:1] 8118b2 [1,-1,0,-4437,110443] 2 [53:122:1]
8118c (1 curve)	1	2+ 3- 11+ 41-	2+ 3-  1 -1 11+ -2  1  1
Curve Equation t Generators 8118c1 [1,-1,0,81,157] 1 [2:17:1]
8118d (2 curves)	1	2+ 3- 11+ 41-	2+ 3-  4  2 11+ -2 -2 -8
Curve Equation t Generators 8118d1 [1,-1,0,-106335,-12450227] 2 [-151:458:1] 8118d2 [1,-1,0,-342495,62412493] 2 [59845:323737:125]
8118e (1 curve)	1	2+ 3- 11- 41+	2+ 3-  1  0 11- -1 -3 -5
Curve Equation t Generators 8118e1 [1,-1,0,-99,-563] 1 [17:41:1]
8118f (1 curve)	1	2+ 3- 11- 41+	2+ 3-  1  5 11- -6  7 -5
Curve Equation t Generators 8118f1 [1,-1,0,-1351359,1004308861] 1 [2690:128381:1]
8118g (2 curves)	0	2+ 3- 11- 41-	2+ 3-  0 -2 11- -6 -2 -8
Curve Equation t 8118g1 [1,-1,0,-103572,-1870128] 2 8118g2 [1,-1,0,-1048212,411315408] 2
8118h (1 curve)	0	2+ 3- 11- 41-	2+ 3-  1 -4 11-  1  3 -3
Curve Equation t 8118h1 [1,-1,0,-14769,-1108323] 1
8118i (2 curves)	0	2+ 3- 11- 41-	2+ 3- -3  5 11-  2  3  5
Curve Equation t 8118i1 [1,-1,0,-576,-5184] 1 8118i2 [1,-1,0,684,-24084] 3
8118j (2 curves)	0	2+ 3- 11- 41-	2+ 3-  4  2 11- -2  6  0
Curve Equation t 8118j1 [1,-1,0,-990,11988] 2 8118j2 [1,-1,0,-15750,764748] 2
8118k (4 curves)	0	2- 3- 11+ 41-	2- 3-  0 -4 11+  2 -6 -4
Curve Equation t 8118k1 [1,-1,1,-276170,-55792375] 2 8118k2 [1,-1,1,-274730,-56404087] 2 8118k3 [1,-1,1,-328145,-33289279] 6 8118k4 [1,-1,1,1146415,-250934335] 6
8118l (1 curve)	0	2- 3- 11+ 41-	2- 3-  1  3 11+ -2  5  1
Curve Equation t 8118l1 [1,-1,1,-4307,-151693] 1
8118m (2 curves)	0	2- 3- 11+ 41-	2- 3- -2  2 11+  4 -6  8
Curve Equation t 8118m1 [1,-1,1,-8366,296601] 2 8118m2 [1,-1,1,-8276,303225] 2
8118n (2 curves)	0	2- 3- 11+ 41-	2- 3-  4  0 11+ -2  2  4
Curve Equation t 8118n1 [1,-1,1,-248,1559] 2 8118n2 [1,-1,1,-158,2639] 2
8118o (2 curves)	0	2- 3- 11- 41+	2- 3-  3 -4 11-  5 -3  5
Curve Equation t 8118o1 [1,-1,1,-65201,-6395551] 1 8118o2 [1,-1,1,62104,-27138517] 3
8118p (1 curve)	0	2- 3- 11- 41+	2- 3- -3  5 11- -6 -5 -1
Curve Equation t 8118p1 [1,-1,1,-86781029,-311139409251] 1
8118q (2 curves)	1	2- 3- 11- 41-	2- 3-  0 -2 11-  0 -2  4
Curve Equation t Generators 8118q1 [1,-1,1,-92075,10766459] 2 [43:2602:1] 8118q2 [1,-1,1,-69035,16268411] 2 [-3:4060:1]
8118r (2 curves)	1	2- 3- 11- 41-	2- 3-  0 -4 11-  6  2 -4
Curve Equation t Generators 8118r1 [1,-1,1,-230,-1227] 2 [-9:11:1] 8118r2 [1,-1,1,130,-4971] 2 [23:87:1]
8118s (2 curves)	1	2- 3- 11- 41-	2- 3- -2  2 11-  4 -6  0
Curve Equation t Generators 8118s1 [1,-1,1,-6836,-164329] 2 [-59:205:1] 8118s2 [1,-1,1,16204,-1049065] 2 [129:1717:1]
8118t (1 curve)	1	2- 3- 11- 41-	2- 3- -3  1 11- -6  7  1
Curve Equation t Generators 8118t1 [1,-1,1,-21434,-2087431] 1 [369:6151:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations