Cremona's table of elliptic curves

7968 = 2⁵ · 3 · 83

Class	r	Atkin-Lehner	Eigenvalues
7968a (1 curve)	2	2+ 3+ 83-	2+ 3+ -1 -2 -5 -4 -4  1
Curve Equation t Generators 7968a1 [0,-1,0,-1,49] 1 [-3:4:1]&[0:7:1]
7968b (4 curves)	0	2+ 3+ 83-	2+ 3+  2  4  4  2  2  4
Curve Equation t 7968b1 [0,-1,0,-2242,-40040] 4 7968b2 [0,-1,0,-35857,-2601503] 2 7968b3 [0,-1,0,-3072,-6840] 2 7968b4 [0,-1,0,-1432,-70172] 4
7968c (1 curve)	0	2+ 3+ 83-	2+ 3+  3 -2  3 -4 -4  5
Curve Equation t 7968c1 [0,-1,0,-145729,-21363983] 1
7968d (1 curve)	0	2- 3+ 83+	2- 3+ -3  4  5 -2  0  5
Curve Equation t 7968d1 [0,-1,0,-657,-6399] 1
7968e (2 curves)	0	2- 3+ 83+	2- 3+ -4  0 -4  6  6 -6
Curve Equation t 7968e1 [0,-1,0,-6450,213156] 2 7968e2 [0,-1,0,-104865,13105521] 2
7968f (1 curve)	1	2- 3- 83+	2- 3- -1  2  5 -4 -4 -1
Curve Equation t Generators 7968f1 [0,1,0,-1,-49] 1 [13:48:1]
7968g (4 curves)	1	2- 3- 83+	2- 3-  2 -4 -4  2  2 -4
Curve Equation t Generators 7968g1 [0,1,0,-2242,40040] 4 [20:60:1] 7968g2 [0,1,0,-3072,6840] 2 [-30:270:1] 7968g3 [0,1,0,-35857,2601503] 4 [-133:2244:1] 7968g4 [0,1,0,-1432,70172] 2 [47:330:1]
7968h (1 curve)	1	2- 3- 83+	2- 3-  3  2 -3 -4 -4 -5
Curve Equation t Generators 7968h1 [0,1,0,-145729,21363983] 1 [221:24:1]
7968i (1 curve)	2	2- 3- 83-	2- 3- -3 -4 -5 -2  0 -5
Curve Equation t Generators 7968i1 [0,1,0,-657,6399] 1 [-30:3:1]&[-9:108:1]
7968j (2 curves)	0	2- 3- 83-	2- 3- -4  0  4  6  6  6
Curve Equation t 7968j1 [0,1,0,-6450,-213156] 2 7968j2 [0,1,0,-104865,-13105521] 2

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