Cremona's table of elliptic curves

897 = 3 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
897a (2 curves)	0	3+ 13- 23+	1 3+ -4  2 -2 13-  2  6
Curve Equation t 897a1 [1,1,0,-97,5560] 2 897a2 [1,1,0,-5362,147715] 2
897b (4 curves)	0	3+ 13- 23+	-1 3+  2  4  0 13-  2  0
Curve Equation t 897b1 [1,1,1,-52,164] 4 897b2 [1,1,1,-897,9966] 4 897b3 [1,1,1,-962,8354] 2 897b4 [1,1,1,-14352,655806] 2
897c (4 curves)	1	3+ 13- 23-	-1 3+ -2  0  0 13-  6 -4
Curve Equation t Generators 897c1 [1,1,1,-19,-40] 2 [6:7:1] 897c2 [1,1,1,-24,-24] 4 [-2:5:1] 897c3 [1,1,1,-219,1146] 4 [11:9:1] 897c4 [1,1,1,91,-70] 2 [4:17:1]
897d (2 curves)	1	3- 13- 23+	1 3-  0 -2 -6 13- -6  2
Curve Equation t Generators 897d1 [1,0,1,130884,-59725523] 2 [2987:162774:1] 897d2 [1,0,1,-1725581,-795628249] 2 [-627:6631:1]
897e (4 curves)	1	3- 13- 23+	-1 3-  2 -4 -4 13-  6 -8
Curve Equation t Generators 897e1 [1,0,0,-19602,1069443] 4 [-54:1431:1] 897e2 [1,0,0,-314847,67971960] 4 [249:2118:1] 897e3 [1,0,0,-316062,67420593] 2 [-99:9936:1] 897e4 [1,0,0,-5037552,4351465395] 2 [1302:-261:1]
897f (2 curves)	1	3- 13- 23+	-1 3- -4  2  2 13- -6 -2
Curve Equation t Generators 897f1 [1,0,0,0,-9] 2 [3:3:1] 897f2 [1,0,0,-65,-204] 2 [-5:4:1]

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

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