Cremona's table of elliptic curves

1584 = 2⁴ · 3² · 11

Class	r	Atkin-Lehner	Eigenvalues
1584a (2 curves)	1	2+ 3+ 11+	2+ 3+  0  2 11+ -6 -6  2
Curve Equation t Generators 1584a1 [0,0,0,-15,-18] 2 [-2:2:1] 1584a2 [0,0,0,-75,234] 2 [-5:22:1]
1584b (2 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11- -6  6  2
Curve Equation t 1584b1 [0,0,0,-135,486] 2 1584b2 [0,0,0,-675,-6318] 2
1584c (4 curves)	0	2+ 3- 11+	2+ 3-  2 -4 11+  6 -6  8
Curve Equation t 1584c1 [0,0,0,6,155] 2 1584c2 [0,0,0,-399,2990] 4 1584c3 [0,0,0,-939,-6838] 2 1584c4 [0,0,0,-6339,194258] 4
1584d (1 curve)	0	2+ 3- 11+	2+ 3-  3  2 11+  0  6 -4
Curve Equation t 1584d1 [0,0,0,-36,108] 1
1584e (2 curves)	0	2+ 3- 11+	2+ 3- -4  2 11+  0  6 -4
Curve Equation t 1584e1 [0,0,0,-72147,-7458910] 2 1584e2 [0,0,0,-71787,-7537030] 2
1584f (2 curves)	1	2+ 3- 11-	2+ 3-  0 -2 11-  0  2 -8
Curve Equation t Generators 1584f1 [0,0,0,-75,74] 2 [-5:18:1] 1584f2 [0,0,0,285,578] 2 [7:54:1]
1584g (4 curves)	1	2+ 3- 11-	2+ 3- -2  0 11-  2 -6  0
Curve Equation t Generators 1584g1 [0,0,0,-111,-434] 2 [-6:4:1] 1584g2 [0,0,0,-291,1330] 4 [-13:54:1] 1584g3 [0,0,0,-4251,106666] 2 [41:36:1] 1584g4 [0,0,0,789,8890] 4 [-1:90:1]
1584h (4 curves)	0	2- 3+ 11+	2- 3+  0 -2 11+  2  6 -2
Curve Equation t 1584h1 [0,0,0,-1395,-19918] 2 1584h2 [0,0,0,-2355,10994] 2 1584h3 [0,0,0,-9315,333666] 2 1584h4 [0,0,0,-147555,21816162] 2
1584i (2 curves)	0	2- 3+ 11+	2- 3+  4  2 11+ -2 -2  6
Curve Equation t 1584i1 [0,0,0,-243,-270] 2 1584i2 [0,0,0,-2403,45090] 2
1584j (4 curves)	1	2- 3+ 11-	2- 3+  0 -2 11-  2 -6 -2
Curve Equation t Generators 1584j1 [0,0,0,-1035,-12358] 2 [-17:18:1] 1584j2 [0,0,0,-16395,-808006] 2 [223:2574:1] 1584j3 [0,0,0,-12555,537786] 2 [15:594:1] 1584j4 [0,0,0,-21195,-296838] 2 [-17:242:1]
1584k (2 curves)	1	2- 3+ 11-	2- 3+ -4  2 11- -2  2  6
Curve Equation t Generators 1584k1 [0,0,0,-27,10] 2 [-3:8:1] 1584k2 [0,0,0,-267,-1670] 2 [-9:2:1]
1584l (4 curves)	1	2- 3- 11+	2- 3-  0 -2 11+ -4  6  4
Curve Equation t Generators 1584l1 [0,0,0,-795,8138] 2 [7:54:1] 1584l2 [0,0,0,645,34346] 2 [7:198:1] 1584l3 [0,0,0,-11595,-478726] 2 [-65:18:1] 1584l4 [0,0,0,-5835,-954502] 2 [127:594:1]
1584m (2 curves)	1	2- 3- 11+	2- 3- -2 -2 11+  6  4  2
Curve Equation t Generators 1584m1 [0,0,0,-696,8215] 2 [17:36:1] 1584m2 [0,0,0,-11631,482794] 2 [50:162:1]
1584n (4 curves)	1	2- 3- 11+	2- 3- -2  4 11+ -6 -2 -4
Curve Equation t Generators 1584n1 [0,0,0,-291,34] 2 [-15:32:1] 1584n2 [0,0,0,-3171,-68510] 4 [-33:14:1] 1584n3 [0,0,0,-50691,-4392830] 2 [311:3150:1] 1584n4 [0,0,0,-1731,-131006] 2 [89:648:1]
1584o (2 curves)	1	2- 3- 11+	2- 3-  3 -2 11+ -4 -6 -8
Curve Equation t Generators 1584o1 [0,0,0,24,-52] 1 [2:2:1] 1584o2 [0,0,0,-696,-7108] 1 [38:146:1]
1584p (3 curves)	0	2- 3- 11-	2- 3- -1  2 11-  4  2  0
Curve Equation t 1584p1 [0,0,0,-48,304] 1 1584p2 [0,0,0,-1488,-40016] 1 1584p3 [0,0,0,-1126128,-459970256] 1
1584q (4 curves)	0	2- 3- 11-	2- 3-  2 -4 11- -2  2  0
Curve Equation t 1584q1 [0,0,0,-939,-10982] 2 1584q2 [0,0,0,-1659,8170] 4 1584q3 [0,0,0,-21099,1178458] 4 1584q4 [0,0,0,6261,63610] 2
1584r (2 curves)	0	2- 3- 11-	2- 3- -2  2 11- -2 -4  6
Curve Equation t 1584r1 [0,0,0,24,-25] 2 1584r2 [0,0,0,-111,-214] 2
1584s (4 curves)	0	2- 3- 11-	2- 3-  4  2 11-  4  2  0
Curve Equation t 1584s1 [0,0,0,-6483,146450] 2 1584s2 [0,0,0,16557,952850] 2 1584s3 [0,0,0,-1449363,-671604910] 2 1584s4 [0,0,0,-1447923,-673006030] 2

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