Cremona's table of elliptic curves

1550 = 2 · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
1550a (4 curves)	1	2+ 5+ 31+	2+  0 5+  0  0 -2  6  4
Curve Equation t Generators 1550a1 [1,-1,0,-17,141] 2 [-1:13:1] 1550a2 [1,-1,0,-517,4641] 4 [5:44:1] 1550a3 [1,-1,0,-767,-109] 2 [29:23:1] 1550a4 [1,-1,0,-8267,291391] 2 [55:1:1]
1550b (1 curve)	1	2+ 5+ 31+	2+  1 5+  0 -1  0  1 -7
Curve Equation t Generators 1550b1 [1,0,1,-31,178] 1 [-4:17:1]
1550c (2 curves)	1	2+ 5+ 31+	2+ -2 5+  0  2  0 -2 -4
Curve Equation t Generators 1550c1 [1,0,1,-1651,-26802] 2 [87:656:1] 1550c2 [1,0,1,-26651,-1676802] 2 [212:1381:1]
1550d (4 curves)	0	2+ 5+ 31-	2+  2 5+  4  0  4  0 -4
Curve Equation t 1550d1 [1,1,0,-2650,52500] 2 1550d2 [1,1,0,-42650,3372500] 2 1550d3 [1,1,0,11350,234500] 2 1550d4 [1,1,0,-51150,1922000] 2
1550e (1 curve)	0	2+ 5- 31+	2+  0 5- -5  5 -7  6 -6
Curve Equation t 1550e1 [1,-1,0,-142,-684] 1
1550f (1 curve)	0	2- 5+ 31+	2-  0 5+  5  5  7 -6 -6
Curve Equation t 1550f1 [1,-1,1,-3555,-89053] 1
1550g (1 curve)	1	2- 5- 31+	2- -1 5-  0 -1  0 -1 -7
Curve Equation t Generators 1550g1 [1,1,1,-763,22281] 1 [135:1482:1]

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

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