Cremona's table of elliptic curves

24321 = 3 · 11² · 67

Class	r	Atkin-Lehner	Eigenvalues
24321a (2 curves)	0	3+ 11+ 67-	1 3+  2  0 11+  6  4 -2
Curve Equation t 24321a1 [1,1,0,-134,543] 2 24321a2 [1,1,0,-79,1060] 2
24321b (2 curves)	0	3+ 11+ 67-	-1 3+  2  0 11+ -6 -4  2
Curve Equation t 24321b1 [1,1,1,-16277,-804022] 2 24321b2 [1,1,1,-9622,-1458874] 2
24321c (1 curve)	0	3+ 11- 67+	1 3+  3  3 11-  0  6 -6
Curve Equation t 24321c1 [1,1,0,-4721,-2970678] 1
24321d (1 curve)	2	3+ 11- 67+	1 3+ -3  0 11- -3  3  0
Curve Equation t Generators 24321d1 [1,1,0,-79,-326] 1 [10:-2:1]&[18:-76:1]
24321e (2 curves)	0	3+ 11- 67+	-1 3+  0  0 11- -4 -2  2
Curve Equation t 24321e1 [1,1,1,-12768,479304] 2 24321e2 [1,1,1,-53303,-4271398] 2
24321f (1 curve)	2	3+ 11- 67+	-1 3+ -3  0 11-  3 -3  0
Curve Equation t Generators 24321f1 [1,1,1,-9622,385892] 1 [50:-207:1]&[65:168:1]
24321g (1 curve)	0	3+ 11- 67+	-1 3+ -3  3 11- -4 -2  2
Curve Equation t 24321g1 [1,1,1,-96137,-11513248] 1
24321h (1 curve)	0	3+ 11- 67+	2 3+  0  0 11- -4  7  5
Curve Equation t 24321h1 [0,-1,1,202,-1189] 1
24321i (1 curve)	0	3+ 11- 67+	2 3+ -3  3 11-  5 -2 -4
Curve Equation t 24321i1 [0,-1,1,-11634432,15279885587] 1
24321j (1 curve)	2	3+ 11- 67+	-2 3+ -3 -3 11-  3 -6  0
Curve Equation t Generators 24321j1 [0,-1,1,-1492,22890] 1 [-42:98:1]&[-7:181:1]
24321k (1 curve)	1	3- 11+ 67-	0 3-  1  1 11+ -1 -6  0
Curve Equation t Generators 24321k1 [0,1,1,15,17] 1 [-1:1:1]
24321l (1 curve)	1	3- 11+ 67-	0 3-  1 -1 11+  1  6  0
Curve Equation t Generators 24321l1 [0,1,1,1775,-15812] 1 [218:1847:8]
24321m (4 curves)	1	3- 11- 67+	-1 3-  2  4 11- -2 -6 -4
Curve Equation t Generators 24321m1 [1,0,0,-45922,3652595] 2 [-133:2789:1] 24321m2 [1,0,0,-119127,-10915200] 4 [972:27654:1] 24321m3 [1,0,0,326758,-73249923] 4 [56884:1912273:64] 24321m4 [1,0,0,-1736292,-880626537] 2 [4176522:2894529:2744]
24321n (1 curve)	1	3- 11- 67+	2 3- -4 -2 11-  4  3 -1
Curve Equation t Generators 24321n1 [0,1,1,-4880,-232765] 1 [9002231338:21424160287:101194696]
24321o (1 curve)	1	3- 11- 67+	-2 3- -4  2 11- -4 -3  1
Curve Equation t Generators 24321o1 [0,1,1,-40,160] 1 [-4:16:1]
24321p (3 curves)	2	3- 11- 67-	0 3- -3  1 11- -5 -6 -2
Curve Equation t Generators 24321p1 [0,1,1,-3307,-255755] 1 [650:1085:8]&[95:-545:1] 24321p2 [0,1,1,29363,6379522] 1 [-70:1996:1]&[-34:2311:1] 24321p3 [0,1,1,-1916317,1021367815] 1 [1391628:-1772425:1728]&[931:6715:1]
24321q (1 curve)	0	3- 11- 67-	1 3- -1  5 11-  4 -6  2
Curve Equation t 24321q1 [1,0,1,-124,-2785] 1

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