Cremona's table of elliptic curves

47937 = 3 · 19 · 29²

Class	r	Atkin-Lehner	Eigenvalues
47937a (1 curve)	1	3+ 19+ 29+	-2 3+ -1 -4 -3 -2  7 19+
Curve Equation t Generators 47937a1 [0,-1,1,474,1820] 1 [48:364:1]
47937b (4 curves)	0	3+ 19- 29+	-1 3+ -2  0  0  6  6 19-
Curve Equation t 47937b1 [1,1,1,-1279,-15748] 2 47937b2 [1,1,1,-5484,138996] 4 47937b3 [1,1,1,7131,699102] 2 47937b4 [1,1,1,-85379,9566606] 2
47937c (2 curves)	0	3+ 19- 29+	2 3+  1  3  3 -6 -3 19-
Curve Equation t 47937c1 [0,-1,1,16540,-940651] 1 47937c2 [0,-1,1,-3692270,-2729565151] 1
47937d (4 curves)	0	3- 19+ 29+	-1 3- -2  0  0 -2  2 19+
Curve Equation t 47937d1 [1,0,0,7131,-87336] 4 47937d2 [1,0,0,-30714,-730701] 4 47937d3 [1,0,0,-270399,53581920] 2 47937d4 [1,0,0,-396549,-96067302] 2
47937e (1 curve)	1	3- 19- 29+	0 3- -3 -1  5 -4  7 19-
Curve Equation t Generators 47937e1 [0,1,1,-22987,4215925] 1 [251:3784:1]
47937f (1 curve)	1	3- 19- 29+	2 3- -3 -5 -1  2  1 19-
Curve Equation t Generators 47937f1 [0,1,1,-1962,36155] 1 [442:2519:8]
47937g (1 curve)	0	3- 19- 29-	2 3- -1 -4  3 -2 -7 19-
Curve Equation t 47937g1 [0,1,1,398354,48378517] 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