Cremona's table of elliptic curves

5312 = 2⁶ · 83

Class	r	Atkin-Lehner	Eigenvalues
5312a (1 curve)	1	2+ 83+	2+  1  0  1  1  4 -3 -4
Curve Equation t Generators 5312a1 [0,1,0,-13,19] 1 [3:4:1]
5312b (1 curve)	1	2+ 83+	2+  1  0  3  1 -6 -7  6
Curve Equation t Generators 5312b1 [0,1,0,7,-25] 1 [2:1:1]
5312c (1 curve)	1	2+ 83+	2+ -1  2 -1  3 -2 -3  2
Curve Equation t Generators 5312c1 [0,-1,0,3,13] 1 [1:4:1]
5312d (1 curve)	0	2+ 83-	2+  1  2  1  5  2 -3  2
Curve Equation t 5312d1 [0,1,0,-417,3263] 1
5312e (1 curve)	0	2+ 83-	2+  1  2 -3 -3  6  5 -2
Curve Equation t 5312e1 [0,1,0,63,-97] 1
5312f (1 curve)	2	2+ 83-	2+ -1  0 -3 -1 -6 -7 -6
Curve Equation t Generators 5312f1 [0,-1,0,7,25] 1 [-1:4:1]&[0:5:1]
5312g (1 curve)	0	2+ 83-	2+  3  4 -5  3  4 -3  4
Curve Equation t 5312g1 [0,0,0,-28,80] 1
5312h (1 curve)	0	2- 83+	2- -1  2 -1 -5  2 -3 -2
Curve Equation t 5312h1 [0,-1,0,-417,-3263] 1
5312i (1 curve)	0	2- 83+	2- -1  2  3  3  6  5  2
Curve Equation t 5312i1 [0,-1,0,63,97] 1
5312j (1 curve)	2	2- 83+	2- -1 -2 -3 -1  0 -3  0
Curve Equation t Generators 5312j1 [0,-1,0,-169,905] 1 [-5:40:1]&[7:4:1]
5312k (1 curve)	0	2- 83+	2-  3  2 -3  3  0  5  0
Curve Equation t 5312k1 [0,0,0,-244,-2752] 1
5312l (1 curve)	0	2- 83+	2- -3  4  5 -3  4 -3 -4
Curve Equation t 5312l1 [0,0,0,-28,-80] 1
5312m (1 curve)	1	2- 83-	2-  1  2  1 -3 -2 -3 -2
Curve Equation t Generators 5312m1 [0,1,0,3,-13] 1 [7:20:1]
5312n (1 curve)	1	2- 83-	2-  1 -2  3  1  0 -3  0
Curve Equation t Generators 5312n1 [0,1,0,-169,-905] 1 [18:47:1]
5312o (1 curve)	1	2- 83-	2- -1  0 -1 -1  4 -3  4
Curve Equation t Generators 5312o1 [0,-1,0,-13,-19] 1 [5:4:1]
5312p (1 curve)	1	2- 83-	2- -3  2  3 -3  0  5  0
Curve Equation t Generators 5312p1 [0,0,0,-244,2752] 1 [21:83:1]

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