Cremona's table of elliptic curves

85905 = 3² · 5 · 23 · 83

Class	r	Atkin-Lehner	Eigenvalues
85905a (1 curve)	0	3- 5+ 23+ 83+	0 3- 5+  4  3  5  2  1
Curve Equation t 85905a1 [0,0,1,42,193] 1
85905b (1 curve)	0	3- 5+ 23+ 83+	1 3- 5+ -3  4  1  4 -5
Curve Equation t 85905b1 [1,-1,0,-25461450,-50833301189] 1
85905c (1 curve)	1	3- 5+ 23- 83+	2 3- 5+  1 -1  6 -4  5
Curve Equation t Generators 85905c1 [0,0,1,184677,37360053] 1 [10882:423725:8]
85905d (1 curve)	0	3- 5+ 23- 83-	-1 3- 5+  1  4  1  0 -5
Curve Equation t 85905d1 [1,-1,1,-75266033,-251312536164] 1
85905e (1 curve)	0	3- 5+ 23- 83-	2 3- 5+  1 -5  1  6  4
Curve Equation t 85905e1 [0,0,1,-93,409] 1
85905f (1 curve)	1	3- 5- 23+ 83+	1 3- 5-  1  1  4 -3  4
Curve Equation t Generators 85905f1 [1,-1,0,12801,-94132] 1 [1006:14447:8]
85905g (2 curves)	1	3- 5- 23+ 83+	-1 3- 5-  2 -6  0  6  4
Curve Equation t Generators 85905g1 [1,-1,1,-5657,172064] 2 [-18:526:1] 85905g2 [1,-1,1,-91562,10686836] 2 [171:4:1]
85905h (2 curves)	2	3- 5- 23- 83+	-1 3- 5-  0  2 -4 -8  2
Curve Equation t Generators 85905h1 [1,-1,1,-13064702,18179226204] 2 [2312:-19269:1]&[-448:154956:1] 85905h2 [1,-1,1,-13059077,18195657954] 2 [-4018:78081:1]&[122:128796:1]
85905i (1 curve)	2	3- 5- 23- 83+	-1 3- 5- -3 -4 -1  4 -7
Curve Equation t Generators 85905i1 [1,-1,1,103,996] 1 [-6:14:1]&[-4:24:1]
85905j (1 curve)	1	3- 5- 23- 83-	1 3- 5-  1  4 -7  8 -1
Curve Equation t Generators 85905j1 [1,-1,0,-6759,-265572] 1 [7924:701336:1]
85905k (1 curve)	1	3- 5- 23- 83-	-2 3- 5-  1 -5  2 -4 -1
Curve Equation t Generators 85905k1 [0,0,1,843,25812] 1 [-13:112:1]

Data from Elliptic Curve Data by J. E. Cremona.
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