Cremona's table of elliptic curves

735 = 3 · 5 · 7²

Class	r	Atkin-Lehner	Eigenvalues
735a (4 curves)	0	3+ 5+ 7-	1 3+ 5+ 7-  0  6 -2  8
Curve Equation t 735a1 [1,1,0,-123,-552] 2 735a2 [1,1,0,-368,1947] 4 735a3 [1,1,0,-5513,155268] 2 735a4 [1,1,0,857,13462] 2
735b (1 curve)	0	3+ 5+ 7-	-2 3+ 5+ 7- -6  3  4 -1
Curve Equation t 735b1 [0,-1,1,-15206,-1184338] 1
735c (2 curves)	1	3+ 5- 7-	0 3+ 5- 7-  0  1 -6 -5
Curve Equation t Generators 735c1 [0,-1,1,5,6] 1 [0:2:1] 735c2 [0,-1,1,-205,1203] 1 [9:2:1]
735d (2 curves)	0	3- 5+ 7+	0 3- 5+ 7+  0 -1  6  5
Curve Equation t 735d1 [0,1,1,229,-2614] 3 735d2 [0,1,1,-10061,-392605] 1
735e (8 curves)	1	3- 5+ 7-	-1 3- 5+ 7- -4  2 -2 -4
Curve Equation t Generators 735e1 [1,0,0,-1,-64] 2 [13:40:1] 735e2 [1,0,0,-246,-1485] 4 [-9:9:1] 735e3 [1,0,0,-3921,-94830] 2 [74:110:1] 735e4 [1,0,0,-491,1896] 4 [-17:82:1] 735e5 [1,0,0,-6616,206471] 4 [11:362:1] 735e6 [1,0,0,1714,14685] 2 [4:145:1] 735e7 [1,0,0,-105841,13244636] 2 [188:-88:1] 735e8 [1,0,0,-5391,285606] 2 [-45:684:1]
735f (1 curve)	1	3- 5- 7+	-2 3- 5- 7+ -6 -3 -4  1
Curve Equation t Generators 735f1 [0,1,1,-310,3364] 1 [-19:52:1]

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

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