Cremona's table of elliptic curves

525 = 3 · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
525a (4 curves)	1	3+ 5+ 7+	-1 3+ 5+ 7+  0  6 -2 -8
Curve Equation t Generators 525a1 [1,1,1,-63,156] 4 [6:3:1] 525a2 [1,1,1,-188,-844] 4 [-10:17:1] 525a3 [1,1,1,-2813,-58594] 2 [-31:17:1] 525a4 [1,1,1,437,-4594] 2 [20:102:1]
525b (6 curves)	0	3+ 5+ 7-	1 3+ 5+ 7-  4  2  6  4
Curve Equation t 525b1 [1,1,0,25,0] 2 525b2 [1,1,0,-100,-125] 4 525b3 [1,1,0,-1225,-17000] 4 525b4 [1,1,0,-975,11250] 2 525b5 [1,1,0,-19600,-1064375] 2 525b6 [1,1,0,-850,-27125] 2
525c (2 curves)	1	3+ 5- 7-	1 3+ 5- 7- -6  2 -4 -6
Curve Equation t Generators 525c1 [1,1,0,-450,3375] 2 [14:1:1] 525c2 [1,1,0,175,12750] 2 [10:120:1]
525d (2 curves)	1	3- 5- 7+	-1 3- 5- 7+ -6 -2  4 -6
Curve Equation t Generators 525d1 [1,0,0,-18,27] 2 [-3:9:1] 525d2 [1,0,0,7,102] 2 [7:-26:1]

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

Part of Computational Number Theory
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