Cremona's table of elliptic curves

101802 = 2 · 3 · 19² · 47

Class	r	Atkin-Lehner	Eigenvalues
101802a (1 curve)	1	2+ 3+ 19- 47-	2+ 3+ -2  3  0 -1  7 19-
Curve Equation t Generators 101802a1 [1,1,0,-311,4245] 1 [-1:68:1]
101802b (2 curves)	0	2+ 3- 19+ 47+	2+ 3-  0  2  3 -4  3 19+
Curve Equation t 101802b1 [1,0,1,-307941,19929892] 3 101802b2 [1,0,1,-14197416,-20590939850] 1
101802c (1 curve)	1	2+ 3- 19+ 47-	2+ 3-  2  4  4 -4 -4 19+
Curve Equation t Generators 101802c1 [1,0,1,-6145,3578036] 1 [427:8666:1]
101802d (1 curve)	1	2+ 3- 19+ 47-	2+ 3- -2 -3  6 -5 -2 19+
Curve Equation t Generators 101802d1 [1,0,1,49088,16866446] 1 [217:6035:1]
101802e (4 curves)	1	2+ 3- 19- 47+	2+ 3-  2  0  0 -2  2 19-
Curve Equation t Generators 101802e1 [1,0,1,20930,584624] 2 [12305:231001:125] 101802e2 [1,0,1,-94590,4928176] 4 [-115:3837:1] 101802e3 [1,0,1,-773270,-258399664] 2 [129720:878912:125] 101802e4 [1,0,1,-1264230,546705424] 2 [968:14688:1]
101802f (2 curves)	0	2+ 3- 19- 47-	2+ 3- -4 -4  0  2 -6 19-
Curve Equation t 101802f1 [1,0,1,-5423,-188638] 2 101802f2 [1,0,1,-92063,-10758718] 2
101802g (2 curves)	1	2- 3+ 19- 47+	2- 3+  0  2  3  4  3 19-
Curve Equation t Generators 101802g1 [1,1,1,-853,-3265] 1 [-940:5541:64] 101802g2 [1,1,1,-39328,2985473] 1 [113:-39:1]
101802h (1 curve)	0	2- 3+ 19- 47-	2- 3+  2  4  4  4 -4 19-
Curve Equation t 101802h1 [1,1,1,-17,-529] 1
101802i (1 curve)	0	2- 3+ 19- 47-	2- 3+ -2 -3  6  5 -2 19-
Curve Equation t 101802i1 [1,1,1,17720941,-115651512943] 1
101802j (1 curve)	0	2- 3- 19+ 47-	2- 3- -2  3  0  1  7 19+
Curve Equation t 101802j1 [1,0,0,-112459,-30015631] 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