Cremona's table of elliptic curves

72369 = 3² · 11 · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
72369a (1 curve)	1	3+ 11+ 17+ 43+	-1 3+ -2  0 11+  4 17+  1
Curve Equation t Generators 72369a1 [1,-1,1,-8696,-5586298] 1 [29142:1743437:8]
72369b (2 curves)	0	3+ 11+ 17+ 43-	1 3+  0  0 11+  6 17+  4
Curve Equation t 72369b1 [1,-1,0,-312,-613] 2 72369b2 [1,-1,0,1173,-5662] 2
72369c (1 curve)	0	3+ 11+ 17+ 43-	1 3+  0 -4 11+ -3 17+  1
Curve Equation t 72369c1 [1,-1,0,-5245467,-4622758390] 1
72369d (2 curves)	0	3+ 11+ 17- 43+	1 3+ -4  0 11+ -2 17-  4
Curve Equation t 72369d1 [1,-1,0,-106854,12821039] 2 72369d2 [1,-1,0,72831,51453314] 2
72369e (2 curves)	0	3+ 11- 17+ 43+	-1 3+  4  0 11- -2 17+  4
Curve Equation t 72369e1 [1,-1,1,-11873,-470896] 2 72369e2 [1,-1,1,8092,-1908376] 2
72369f (1 curve)	1	3+ 11- 17- 43+	1 3+  2  0 11-  4 17-  1
Curve Equation t Generators 72369f1 [1,-1,0,-78261,150908300] 1 [3374:109391:8]
72369g (2 curves)	0	3+ 11- 17- 43-	-1 3+  0  0 11-  6 17-  4
Curve Equation t 72369g1 [1,-1,1,-35,34] 2 72369g2 [1,-1,1,130,166] 2
72369h (1 curve)	2	3+ 11- 17- 43-	-1 3+  0 -4 11- -3 17-  1
Curve Equation t Generators 72369h1 [1,-1,1,-582830,171407550] 1 [-6530:84375:8]&[11910:-5875:27]
72369i (1 curve)	0	3- 11+ 17+ 43+	2 3- -2  3 11+ -2 17+ -8
Curve Equation t 72369i1 [0,0,1,-9651,391887] 1
72369j (1 curve)	1	3- 11- 17+ 43+	1 3-  2 -2 11-  4 17+  8
Curve Equation t Generators 72369j1 [1,-1,0,-1536,-227971] 1 [8980:16641:125]
72369k (1 curve)	0	3- 11- 17+ 43-	-1 3-  0  2 11- -2 17+ -1
Curve Equation t 72369k1 [1,-1,1,-752945,251665508] 1
72369l (4 curves)	0	3- 11- 17+ 43-	-1 3- -2  4 11- -2 17+ -4
Curve Equation t 72369l1 [1,-1,1,-1751,27006] 2 72369l2 [1,-1,1,-5396,-118794] 4 72369l3 [1,-1,1,12019,-738768] 2 72369l4 [1,-1,1,-81131,-8873760] 2
72369m (1 curve)	2	3- 11- 17- 43+	-1 3- -2  0 11- -5 17-  1
Curve Equation t Generators 72369m1 [1,-1,1,-378086,143055902] 1 [8268:745642:1]&[249:-8144:1]
72369n (1 curve)	1	3- 11- 17- 43-	-1 3-  0  2 11-  6 17- -5
Curve Equation t Generators 72369n1 [1,-1,1,-1535,-24942] 1 [101:867:1]

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