Cremona's table of elliptic curves

9648 = 2⁴ · 3² · 67

Class	r	Atkin-Lehner	Eigenvalues
9648a (1 curve)	1	2+ 3+ 67+	2+ 3+  3 -1 -2  4  2  0
Curve Equation t Generators 9648a1 [0,0,0,189,1458] 1 [27:162:1]
9648b (1 curve)	1	2+ 3+ 67+	2+ 3+ -3 -1  2  4 -2  0
Curve Equation t Generators 9648b1 [0,0,0,21,-54] 1 [3:6:1]
9648c (1 curve)	0	2+ 3- 67+	2+ 3-  4  4 -6 -4  3  7
Curve Equation t 9648c1 [0,0,0,-228,1420] 1
9648d (2 curves)	1	2+ 3- 67-	2+ 3-  2  2 -4  4 -6  4
Curve Equation t Generators 9648d1 [0,0,0,-579,5330] 2 [-5:90:1] 9648d2 [0,0,0,-219,11882] 2 [1:108:1]
9648e (2 curves)	0	2- 3+ 67+	2- 3+  2 -4  4  2  0 -4
Curve Equation t 9648e1 [0,0,0,-459,-1350] 2 9648e2 [0,0,0,1701,-10422] 2
9648f (2 curves)	2	2- 3+ 67+	2- 3+ -2 -4 -4  2  0 -4
Curve Equation t Generators 9648f1 [0,0,0,-51,50] 2 [-7:8:1]&[-2:12:1] 9648f2 [0,0,0,189,386] 2 [-1:14:1]&[1:24:1]
9648g (1 curve)	1	2- 3+ 67-	2- 3+  1  1  2  0 -6 -4
Curve Equation t Generators 9648g1 [0,0,0,-387,-2942] 1 [23:18:1]
9648h (1 curve)	1	2- 3+ 67-	2- 3+ -1  1 -2  0  6 -4
Curve Equation t Generators 9648h1 [0,0,0,-3483,79434] 1 [39:54:1]
9648i (1 curve)	1	2- 3- 67+	2- 3-  0  0 -2 -4  3 -5
Curve Equation t Generators 9648i1 [0,0,0,-12360,-530516] 1 [138:626:1]
9648j (1 curve)	1	2- 3- 67+	2- 3-  1  5 -4 -4 -6  2
Curve Equation t Generators 9648j1 [0,0,0,-147,3602] 1 [7:54:1]
9648k (1 curve)	1	2- 3- 67+	2- 3- -2  2 -4  2 -3 -7
Curve Equation t Generators 9648k1 [0,0,0,-1776,-28816] 1 [1010:10611:8]
9648l (3 curves)	1	2- 3- 67+	2- 3-  3  1  0 -4  6 -2
Curve Equation t Generators 9648l1 [0,0,0,-20811,1217018] 1 [-113:1458:1] 9648l2 [0,0,0,115269,1734122] 1 [103:3834:1] 9648l3 [0,0,0,-1476651,-756627622] 1 [197887:88027362:1]
9648m (1 curve)	1	2- 3- 67+	2- 3-  3 -3 -2  2  0  4
Curve Equation t Generators 9648m1 [0,0,0,-111,538] 1 [2:18:1]
9648n (1 curve)	0	2- 3- 67-	2- 3-  0  0 -6  4  7  5
Curve Equation t 9648n1 [0,0,0,240,1456] 1
9648o (1 curve)	0	2- 3- 67-	2- 3-  1  3 -2 -2  4  4
Curve Equation t 9648o1 [0,0,0,753,218] 1
9648p (1 curve)	0	2- 3- 67-	2- 3- -1  3  0 -4 -2  2
Curve Equation t 9648p1 [0,0,0,-363,-19046] 1
9648q (4 curves)	0	2- 3- 67-	2- 3- -2  0  4 -2 -2  4
Curve Equation t 9648q1 [0,0,0,-1371,-5110] 2 9648q2 [0,0,0,-12891,559370] 4 9648q3 [0,0,0,-205851,35948234] 2 9648q4 [0,0,0,-4251,1297226] 4
9648r (2 curves)	2	2- 3- 67-	2- 3- -2 -2 -4  0 -6 -4
Curve Equation t Generators 9648r1 [0,0,0,-5331,149650] 2 [-34:540:1]&[-7:432:1] 9648r2 [0,0,0,-3891,232306] 2 [-79:216:1]&[-15:536:1]
9648s (1 curve)	2	2- 3- 67-	2- 3- -2 -2 -4 -6 -3 -1
Curve Equation t Generators 9648s1 [0,0,0,24,-164] 1 [5:9:1]&[6:14:1]
9648t (1 curve)	0	2- 3- 67-	2- 3-  3  3  0  4 -2  2
Curve Equation t 9648t1 [0,0,0,-114411,14895322] 1
9648u (2 curves)	0	2- 3- 67-	2- 3- -4  0  0  2 -2 -4
Curve Equation t 9648u1 [0,0,0,528,-2765] 2 9648u2 [0,0,0,-2487,-23870] 2

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