Cremona's table of elliptic curves

5865 = 3 · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
5865a (1 curve)	1	3+ 5+ 17- 23-	-2 3+ 5+  1  2  5 17-  0
Curve Equation t Generators 5865a1 [0,-1,1,-276,1766] 1 [-7:57:1]
5865b (4 curves)	1	3+ 5- 17- 23+	1 3+ 5-  0  0 -2 17-  4
Curve Equation t Generators 5865b1 [1,1,0,-122,471] 2 [70:549:1] 5865b2 [1,1,0,-127,424] 4 [-12:26:1] 5865b3 [1,1,0,-552,-4761] 2 [-130:191:8] 5865b4 [1,1,0,218,2701] 4 [2238:36451:8]
5865c (2 curves)	0	3- 5+ 17+ 23+	-1 3- 5+ -2  2 -2 17+ -4
Curve Equation t 5865c1 [1,0,0,-37641,-2820384] 2 5865c2 [1,0,0,-602636,-180115815] 2
5865d (1 curve)	1	3- 5+ 17+ 23-	0 3- 5+ -3  6 -5 17+  2
Curve Equation t Generators 5865d1 [0,1,1,-9451,-355004] 1 [-58:37:1]
5865e (1 curve)	1	3- 5+ 17- 23+	2 3- 5+ -5  6  1 17- -4
Curve Equation t Generators 5865e1 [0,1,1,-86,-259] 1 [-252:343:64]
5865f (2 curves)	0	3- 5- 17- 23+	1 3- 5- -2 -6 -2 17-  4
Curve Equation t 5865f1 [1,0,1,-123,-647] 2 5865f2 [1,0,1,-2078,-36619] 2
5865g (6 curves)	0	3- 5- 17- 23+	-1 3- 5-  0 -4 -2 17-  4
Curve Equation t 5865g1 [1,0,0,-135,1872] 4 5865g2 [1,0,0,-3260,71247] 8 5865g3 [1,0,0,-4385,17472] 4 5865g4 [1,0,0,-52135,4577522] 4 5865g5 [1,0,0,-44060,-3545343] 2 5865g6 [1,0,0,17290,143187] 2
5865h (4 curves)	0	3- 5- 17- 23+	-1 3- 5-  4  0 -2 17- -4
Curve Equation t 5865h1 [1,0,0,-3055,-65248] 2 5865h2 [1,0,0,-3060,-65025] 4 5865h3 [1,0,0,-5015,27642] 4 5865h4 [1,0,0,-1185,-143400] 2
5865i (1 curve)	0	3- 5- 17- 23+	2 3- 5-  3  2  1 17-  4
Curve Equation t 5865i1 [0,1,1,-1960,-34061] 1

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

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