Cremona's table of elliptic curves

19825 = 5² · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
19825a (2 curves)	1	5+ 13+ 61+	1  0 5+  0 -6 13+  4  4
Curve Equation t Generators 19825a1 [1,-1,0,-542,3991] 2 [498:-149:27] 19825a2 [1,-1,0,-8167,286116] 2 [64:118:1]
19825b (1 curve)	0	5+ 13+ 61-	1 -2 5+  2 -2 13+  2 -5
Curve Equation t 19825b1 [1,0,1,-326,-4827] 1
19825c (2 curves)	0	5+ 13- 61+	1  2 5+ -4 -2 13-  2  2
Curve Equation t 19825c1 [1,1,0,-112025,-8458000] 2 19825c2 [1,1,0,353100,-60086875] 2
19825d (2 curves)	0	5+ 13- 61+	-1  0 5+  4  4 13-  6 -2
Curve Equation t 19825d1 [1,-1,1,-405,-3028] 2 19825d2 [1,-1,1,-280,-5028] 2
19825e (1 curve)	0	5- 13- 61-	-1  2 5- -2 -2 13- -2 -5
Curve Equation t 19825e1 [1,1,1,-13,-44] 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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