Cremona's table of elliptic curves

350 = 2 · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
350c (2 curves)	1	2+ 5+ 7+	2+ -1 5+ 7+  3 -2 -3 -7
Curve Equation t Generators 350c1 [1,1,0,5,5] 1 [1:3:1] 350c2 [1,1,0,-45,-185] 1 [31:156:1]
350a (4 curves)	0	2+ 5+ 7-	2+  0 5+ 7-  4  6 -2  0
Curve Equation t 350a1 [1,-1,0,58,-284] 2 350a2 [1,-1,0,-442,-2784] 4 350a3 [1,-1,0,-6692,-209034] 2 350a4 [1,-1,0,-2192,37466] 2
350e (1 curve)	0	2+ 5+ 7-	2+  3 5+ 7- -5  6  1 -3
Curve Equation t 350e1 [1,-1,0,-4492,126416] 1
350d (6 curves)	0	2- 5+ 7+	2-  2 5+ 7+  0  4 -6  2
Curve Equation t 350d1 [1,1,1,-13,31] 2 350d2 [1,1,1,-263,1531] 2 350d3 [1,1,1,112,-719] 2 350d4 [1,1,1,-888,-8719] 2 350d5 [1,1,1,-4263,-109219] 2 350d6 [1,1,1,-68263,-6893219] 2
350f (1 curve)	1	2- 5- 7+	2- -3 5- 7+ -5 -6 -1 -3
Curve Equation t Generators 350f1 [1,-1,1,-180,1047] 1 [-1:35:1]
350b (2 curves)	0	2- 5- 7-	2-  1 5- 7-  3  2  3 -7
Curve Equation t 350b1 [1,0,0,112,392] 3 350b2 [1,0,0,-1138,-20858] 1

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

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