Cremona's table of elliptic curves

6633 = 3² · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
6633a (2 curves)	0	3+ 11+ 67-	-1 3+  2 -2 11+  4  2  0
Curve Equation t 6633a1 [1,-1,1,-18809,-988152] 2 6633a2 [1,-1,1,-18974,-969804] 2
6633b (2 curves)	1	3+ 11- 67-	1 3+ -2 -2 11-  4 -2  0
Curve Equation t Generators 6633b1 [1,-1,0,-169278,26849375] 2 [-194:7333:1] 6633b2 [1,-1,0,-170763,26355464] 2 [10670:367319:8]
6633c (1 curve)	1	3- 11+ 67-	2 3-  2 -2 11+ -2 -7  3
Curve Equation t Generators 6633c1 [0,0,1,3651,14863] 1 [6244:72931:64]
6633d (1 curve)	1	3- 11- 67+	1 3- -3 -3 11-  0  6  6
Curve Equation t Generators 6633d1 [1,-1,0,-351,-60134] 1 [194:2576:1]
6633e (2 curves)	1	3- 11- 67+	-1 3-  0  0 11-  4 -2 -2
Curve Equation t Generators 6633e1 [1,-1,1,-950,10068] 2 [26:36:1] 6633e2 [1,-1,1,-3965,-85206] 2 [-37:117:1]
6633f (4 curves)	1	3- 11- 67+	-1 3- -2 -4 11-  2 -6  4
Curve Equation t Generators 6633f1 [1,-1,1,-3416,75026] 4 [-60:277:1] 6633f2 [1,-1,1,-8861,-219004] 4 [-71:255:1] 6633f3 [1,-1,1,-129146,-17828728] 2 [-13292:9759:64] 6633f4 [1,-1,1,24304,-1492540] 2 [638:7467:8]
6633g (1 curve)	1	3- 11- 67+	2 3-  3 -3 11- -5 -2  4
Curve Equation t Generators 6633g1 [0,0,1,-865371,309881443] 1 [4274:1679:8]
6633h (1 curve)	1	3- 11- 67+	-2 3-  3  3 11- -3 -6  0
Curve Equation t Generators 6633h1 [0,0,1,-111,454] 1 [7:4:1]
6633i (3 curves)	0	3- 11- 67-	0 3-  3 -1 11-  5 -6  2
Curve Equation t 6633i1 [0,0,1,-246,-5166] 1 6633i2 [0,0,1,2184,129213] 3 6633i3 [0,0,1,-142536,20731914] 3

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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