Cremona's table of elliptic curves

13083 = 3 · 7² · 89

Class	r	Atkin-Lehner	Eigenvalues
13083a (1 curve)	1	3+ 7+ 89+	1 3+ -2 7+  5 -6 -6  3
Curve Equation t Generators 13083a1 [1,1,0,-8796,313881] 1 [56:1:1]
13083b (2 curves)	0	3+ 7- 89+	-1 3+ -2 7-  4 -2 -6  0
Curve Equation t 13083b1 [1,1,1,-554,-5650] 2 13083b2 [1,1,1,-9059,-335644] 2
13083c (2 curves)	1	3+ 7- 89-	0 3+  0 7-  6 -2  0  4
Curve Equation t Generators 13083c1 [0,-1,1,-163,-1086] 1 [138:241:8] 13083c2 [0,-1,1,1307,15231] 1 [474:4357:8]
13083d (1 curve)	1	3+ 7- 89-	-1 3+  2 7- -3  4  4  5
Curve Equation t Generators 13083d1 [1,1,1,-4852,50714] 1 [64:54:1]
13083e (1 curve)	2	3- 7+ 89+	-1 3- -2 7+ -3 -4 -4 -5
Curve Equation t Generators 13083e1 [1,0,0,-99,-162] 1 [-6:18:1]&[-3:12:1]
13083f (1 curve)	1	3- 7- 89+	0 3- -4 7-  2 -6 -4  4
Curve Equation t Generators 13083f1 [0,1,1,-21625,-2158565] 1 [695:17860:1]
13083g (1 curve)	0	3- 7- 89-	1 3-  2 7-  5  6  6 -3
Curve Equation t 13083g1 [1,0,1,-180,-941] 1
13083h (2 curves)	0	3- 7- 89-	-1 3-  2 7-  4  2  6  0
Curve Equation t 13083h1 [1,0,0,-27147,1856448] 2 13083h2 [1,0,0,-443892,113794155] 2
13083i (4 curves)	0	3- 7- 89-	-1 3- -2 7-  4 -2 -6 -4
Curve Equation t 13083i1 [1,0,0,19256,-1831537] 4 13083i2 [1,0,0,-159349,-20370736] 4 13083i3 [1,0,0,-2428294,-1456612921] 2 13083i4 [1,0,0,-748084,230077133] 2
13083j (1 curve)	0	3- 7- 89-	-2 3-  2 7-  2  0  0  6
Curve Equation t 13083j1 [0,1,1,278,718] 1

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