Cremona's table of elliptic curves

55419 = 3 · 7² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
55419a (1 curve)	1	3+ 7- 13+ 29-	0 3+ -1 7- -4 13+ -5 -4
Curve Equation t Generators 55419a1 [0,-1,1,-261,1805] 1 [5:24:1]
55419b (2 curves)	1	3+ 7- 13- 29+	-1 3+  2 7- -4 13-  6  6
Curve Equation t Generators 55419b1 [1,1,1,-687,-42876] 2 [66:419:1] 55419b2 [1,1,1,-22982,-1344904] 2 [-90:112:1]
55419c (1 curve)	0	3+ 7- 13- 29-	1 3+  1 7-  3 13-  6  4
Curve Equation t 55419c1 [1,1,0,-32,57] 1
55419d (2 curves)	0	3+ 7- 13- 29-	1 3+  4 7-  0 13- -6  4
Curve Equation t 55419d1 [1,1,0,-19233,-1050720] 2 55419d2 [1,1,0,-309068,-66263595] 2
55419e (1 curve)	0	3+ 7- 13- 29-	-2 3+  1 7-  0 13- -3  4
Curve Equation t 55419e1 [0,-1,1,5570,2825724] 1
55419f (1 curve)	1	3- 7+ 13+ 29-	1 3- -1 7+  3 13+ -6 -4
Curve Equation t Generators 55419f1 [1,0,1,-1594,-24307] 1 [-1308957:1530452:59319]
55419g (2 curves)	2	3- 7- 13- 29+	1 3- -2 7- -4 13-  2 -2
Curve Equation t Generators 55419g1 [1,0,1,331508,-177085219] 2 [5366:-151745:8]&[487:9752:1] 55419g2 [1,0,1,-3436347,-2155962665] 2 [-1297:11583:1]&[-1081:17739:1]
55419h (2 curves)	2	3- 7- 13- 29+	-1 3-  0 7- -4 13- -6 -2
Curve Equation t Generators 55419h1 [1,0,0,587,-2416] 2 [5:23:1]&[11:68:1] 55419h2 [1,0,0,-2598,-20889] 2 [-45:96:1]&[-30:189:1]
55419i (1 curve)	0	3- 7- 13- 29+	2 3-  3 7- -4 13-  3 -4
Curve Equation t 55419i1 [0,1,1,1422356,573352315] 1

Data from Elliptic Curve Data by J. E. Cremona.
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