Cremona's table of elliptic curves

12025 = 5² · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
12025a (1 curve)	1	5+ 13+ 37+	1  0 5+  2 -2 13+  4  5
Curve Equation t Generators 12025a1 [1,-1,0,-192617,-32489834] 1 [310207929992730:9177213513517288:280368328625]
12025b (4 curves)	1	5+ 13+ 37+	1  0 5+ -4  4 13+ -2  8
Curve Equation t Generators 12025b1 [1,-1,0,-16292,804491] 2 [-26:1113:1] 12025b2 [1,-1,0,-16417,791616] 4 [-210:8883:8] 12025b3 [1,-1,0,-39542,-1914009] 2 [-5052810:52887463:74088] 12025b4 [1,-1,0,4708,2671741] 2 [324:6013:1]
12025c (2 curves)	0	5+ 13- 37+	1 -2 5+  2  0 13- -6 -6
Curve Equation t 12025c1 [1,0,1,-1504126,709898523] 2 12025c2 [1,0,1,-1483001,730812273] 2
12025d (1 curve)	0	5+ 13- 37+	2  1 5+  1 -3 13-  8 -6
Curve Equation t 12025d1 [0,1,1,-408,1969] 1
12025e (2 curves)	1	5+ 13- 37-	-1  0 5+ -2 -2 13-  6  0
Curve Equation t Generators 12025e1 [1,-1,1,-42330,3362672] 2 [118:-40:1] 12025e2 [1,-1,1,-42205,3383422] 2 [-26:2125:1]
12025f (1 curve)	1	5+ 13- 37-	-2 -1 5+  1 -1 13-  4  0
Curve Equation t Generators 12025f1 [0,-1,1,-138158,18966468] 1 [-148:6012:1]
12025g (1 curve)	0	5- 13- 37-	-1  0 5- -2 -2 13- -4  5
Curve Equation t 12025g1 [1,-1,1,-7705,-258378] 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
Back to Tables and computations