Cremona's table of elliptic curves

81685 = 5 · 17 · 31²

Class	r	Atkin-Lehner	Eigenvalues
81685a (1 curve)	0	5+ 17+ 31-	1  1 5+  2  2 -7 17+  2
Curve Equation t 81685a1 [1,0,1,-3384,17751] 1
81685b (2 curves)	0	5+ 17+ 31-	1 -2 5+ -2 -2 -2 17+  0
Curve Equation t 81685b1 [1,0,1,-8189,282987] 2 81685b2 [1,0,1,-3384,613571] 2
81685c (1 curve)	0	5+ 17+ 31-	1 -2 5+  5  5  5 17+ -7
Curve Equation t 81685c1 [1,0,1,-7114784,-7626872259] 1
81685d (1 curve)	0	5+ 17+ 31-	-1 -1 5+  2  6  1 17+  2
Curve Equation t 81685d1 [1,1,1,-865881,306335044] 1
81685e (1 curve)	0	5+ 17+ 31-	2  2 5+  2  3  4 17+  8
Curve Equation t 81685e1 [0,-1,1,-5848966,-3134267803] 1
81685f (1 curve)	0	5+ 17- 31+	2 -2 5+  2 -3 -4 17-  8
Curve Equation t 81685f1 [0,1,1,-6086,103245] 1
81685g (2 curves)	1	5- 17+ 31-	-1  2 5-  0  0  2 17+  8
Curve Equation t Generators 81685g1 [1,1,1,135,422] 2 [-12:1249:64] 81685g2 [1,1,1,-640,2902] 2 [-6410:85103:1000]
81685h (1 curve)	1	5- 17+ 31-	-1  2 5- -1  3  1 17+  5
Curve Equation t Generators 81685h1 [1,1,1,4785,-343120] 1 [48:-17:1]
81685i (2 curves)	0	5- 17- 31-	-1 -2 5-  0  0 -2 17-  8
Curve Equation t 81685i1 [1,0,0,129715,-10890800] 2 81685i2 [1,0,0,-615060,-94454555] 2

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

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