Cremona's table of elliptic curves

32085 = 3² · 5 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
32085a (4 curves)	1	3- 5+ 23+ 31-	-1 3- 5+  0  4  2 -6 -4
Curve Equation t Generators 32085a1 [1,-1,1,-17438,-810844] 2 [-62:201:1] 32085a2 [1,-1,1,-60683,4845602] 4 [-1506:25499:8] 32085a3 [1,-1,1,113692,27444602] 2 [-514:35915:8] 32085a4 [1,-1,1,-926978,343740206] 2 [36244:7663:64]
32085b (2 curves)	1	3- 5+ 23- 31+	1 3- 5+ -4  4 -4 -4 -6
Curve Equation t Generators 32085b1 [1,-1,0,-1710,27391] 2 [270:547:8] 32085b2 [1,-1,0,-3105,-22550] 2 [-34:224:1]
32085c (2 curves)	1	3- 5+ 23- 31+	-1 3- 5+ -2 -4  0  2 -4
Curve Equation t Generators 32085c1 [1,-1,1,-52178,-17823544] 2 [363:3130:1] 32085c2 [1,-1,1,-1392773,-630743578] 2 [-705:973:1]
32085d (2 curves)	0	3- 5+ 23- 31-	-1 3- 5+  4  4  0  0  2
Curve Equation t 32085d1 [1,-1,1,-5333,-148404] 2 32085d2 [1,-1,1,-6728,-63588] 2
32085e (2 curves)	1	3- 5- 23+ 31+	-1 3- 5-  2  0 -2  0 -2
Curve Equation t Generators 32085e1 [1,-1,1,1858,-31084] 2 [46:-411:1] 32085e2 [1,-1,1,-10697,-287206] 2 [-48:361:1]
32085f (2 curves)	0	3- 5- 23- 31+	1 3- 5-  2  4 -4  2  0
Curve Equation t 32085f1 [1,-1,0,2061,11137720] 2 32085f2 [1,-1,0,-735894,238870633] 2
32085g (1 curve)	1	3- 5- 23- 31-	-1 3- 5- -1  6 -4  7 -4
Curve Equation t Generators 32085g1 [1,-1,1,-16052,-796296] 1 [324:5123:1]
32085h (1 curve)	1	3- 5- 23- 31-	2 3- 5- -4  0  2  1 -7
Curve Equation t Generators 32085h1 [0,0,1,33,-365] 1 [370:2527:8]

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

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