Cremona's table of elliptic curves

61275 = 3 · 5² · 19 · 43

Class	r	Atkin-Lehner	Eigenvalues
61275a (1 curve)	1	3+ 5+ 19+ 43+	1 3+ 5+  5  0 -6  3 19+
Curve Equation t Generators 61275a1 [1,1,0,-200,1125] 1 [20:65:1]
61275b (1 curve)	2	3+ 5+ 19- 43+	0 3+ 5+  2 -5 -3 -3 19-
Curve Equation t Generators 61275b1 [0,-1,1,67,1673] 1 [-7:28:1]&[191:2635:1]
61275c (2 curves)	0	3+ 5+ 19- 43+	1 3+ 5+ -4 -4  6 -2 19-
Curve Equation t 61275c1 [1,1,0,-400,2875] 2 61275c2 [1,1,0,-25,8500] 2
61275d (1 curve)	0	3+ 5+ 19- 43+	-2 3+ 5+ -4  2 -6  4 19-
Curve Equation t 61275d1 [0,-1,1,-47508,-4422832] 1
61275e (1 curve)	1	3+ 5+ 19- 43-	-2 3+ 5+ -4 -3  3  3 19-
Curve Equation t Generators 61275e1 [0,-1,1,-938411158,16046913514218] 1 [22207:2481637:1]
61275f (1 curve)	0	3+ 5- 19+ 43+	2 3+ 5-  0 -4 -2 -1 19+
Curve Equation t 61275f1 [0,-1,1,-199708,-177753807] 1
61275g (2 curves)	0	3- 5+ 19+ 43+	-1 3- 5+  0 -6 -2  2 19+
Curve Equation t 61275g1 [1,0,0,-388,-2233] 2 61275g2 [1,0,0,-5763,-168858] 2
61275h (2 curves)	0	3- 5+ 19+ 43+	-1 3- 5+ -4  4 -2 -2 19+
Curve Equation t 61275h1 [1,0,0,-786763,268539392] 2 61275h2 [1,0,0,-786388,268808267] 2
61275i (1 curve)	0	3- 5+ 19+ 43+	-1 3- 5+  5  4 -2  7 19+
Curve Equation t 61275i1 [1,0,0,9351362,4211875517] 1
61275j (1 curve)	0	3- 5+ 19+ 43+	2 3- 5+  0  6 -2 -4 19+
Curve Equation t 61275j1 [0,1,1,-2018308,-3934700081] 1
61275k (1 curve)	0	3- 5+ 19+ 43+	2 3- 5+  2 -5  7  7 19+
Curve Equation t 61275k1 [0,1,1,542,290119] 1
61275l (1 curve)	0	3- 5+ 19+ 43+	2 3- 5+ -4 -2 -2 -8 19+
Curve Equation t 61275l1 [0,1,1,-26358,-1659931] 1
61275m (1 curve)	1	3- 5+ 19+ 43-	-2 3- 5+  0 -4  2  1 19+
Curve Equation t Generators 61275m1 [0,1,1,-7988,-1425226] 1 [8724:-147482:27]
61275n (4 curves)	0	3- 5+ 19- 43-	-1 3- 5+  0  4  2  6 19-
Curve Equation t 61275n1 [1,0,0,-16713,-548208] 2 61275n2 [1,0,0,-107838,13211667] 4 61275n3 [1,0,0,37287,46155042] 2 61275n4 [1,0,0,-1710963,861264792] 2
61275o (1 curve)	1	3- 5- 19- 43-	0 3- 5- -2 -5  3  3 19-
Curve Equation t Generators 61275o1 [0,1,1,1667,212494] 1 [58:-713:1]

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