Cremona's table of elliptic curves

12425 = 5² · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
12425a (2 curves)	1	5+ 7+ 71+	0 -1 5+ 7+  3  1  3 -4
Curve Equation t Generators 12425a1 [0,-1,1,-41133,3225918] 1 [162:887:1] 12425a2 [0,-1,1,28867,12584043] 1 [-55803:4473222:1331]
12425b (2 curves)	1	5+ 7+ 71+	-1  2 5+ 7+ -4 -4 -4  6
Curve Equation t Generators 12425b1 [1,1,1,1687,-8594] 2 [5756:433878:1] 12425b2 [1,1,1,-7188,-79594] 2 [90:67:1]
12425c (1 curve)	0	5+ 7+ 71-	-1  1 5+ 7+  1  3  2 -4
Curve Equation t 12425c1 [1,0,0,612,-2983] 1
12425d (1 curve)	0	5+ 7+ 71-	2  1 5+ 7+ -5  3 -7  8
Curve Equation t 12425d1 [0,1,1,342,-12281] 1
12425e (1 curve)	2	5+ 7+ 71-	-2 -1 5+ 7+ -5  5 -5 -6
Curve Equation t Generators 12425e1 [0,-1,1,-1408,20968] 1 [22:12:1]&[26:35:1]
12425f (1 curve)	1	5+ 7- 71-	0  1 5+ 7-  1  1 -1  2
Curve Equation t Generators 12425f1 [0,1,1,18867,768769] 1 [554:12421:8]
12425g (1 curve)	0	5- 7+ 71+	0  1 5- 7+  3 -1  1  8
Curve Equation t 12425g1 [0,1,1,-33993,2938849] 1
12425h (1 curve)	1	5- 7- 71+	0 -1 5- 7-  3  1 -1  8
Curve Equation t Generators 12425h1 [0,-1,1,-849833,369055818] 1 [-108:21437:1]

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

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