Cremona's table of elliptic curves

42955 = 5 · 11² · 71

Class	r	Atkin-Lehner	Eigenvalues
42955a (1 curve)	0	5+ 11- 71+	2  2 5+  0 11- -1 -3  3
Curve Equation t 42955a1 [0,-1,1,-26176,1672241] 1
42955b (1 curve)	0	5+ 11- 71+	-2  2 5+  0 11-  1  3 -3
Curve Equation t 42955b1 [0,-1,1,-216,-1178] 1
42955c (1 curve)	1	5+ 11- 71-	0  0 5+ -3 11- -1 -2  7
Curve Equation t Generators 42955c1 [0,0,1,-73568,7687523] 1 [143:302:1]
42955d (2 curves)	1	5- 11- 71+	0 -2 5-  1 11- -5 -6  1
Curve Equation t Generators 42955d1 [0,1,1,565,3306] 1 [40:302:1] 42955d2 [0,1,1,-11535,480651] 1 [73:181:1]
42955e (4 curves)	1	5- 11- 71+	1  0 5-  0 11- -6 -2  8
Curve Equation t Generators 42955e1 [1,-1,0,-9884,380683] 2 [-6188:44839:64] 42955e2 [1,-1,0,-10489,331920] 4 [-21053460:-129650197:216000] 42955e3 [1,-1,0,22786,1989015] 2 [2099907314521410:-83886703371270975:1362462704056] 42955e4 [1,-1,0,-53444,-4453267] 2 [292:2039:1]
42955f (1 curve)	1	5- 11- 71+	1  0 5-  3 11-  6  7 -4
Curve Equation t Generators 42955f1 [1,-1,0,1329586,-2203847277] 1 [1703366:121313067:343]
42955g (1 curve)	1	5- 11- 71+	-1  0 5- -3 11- -6 -7  4
Curve Equation t Generators 42955g1 [1,-1,1,10988,1652786] 1 [56:-1591:1]
42955h (1 curve)	1	5- 11- 71+	2  0 5- -1 11- -1  1  3
Curve Equation t Generators 42955h1 [0,0,1,-9317,-479493] 1 [7986:251071:8]
42955i (1 curve)	1	5- 11- 71+	2  0 5-  3 11-  3  5 -5
Curve Equation t Generators 42955i1 [0,0,1,-20207,1105607] 1 [10262050:-12039:125000]
42955j (1 curve)	1	5- 11- 71+	-2  0 5-  1 11-  1 -1 -3
Curve Equation t Generators 42955j1 [0,0,1,-77,360] 1 [3:-13:1]
42955k (1 curve)	1	5- 11- 71+	-2  0 5- -3 11- -3 -5  5
Curve Equation t Generators 42955k1 [0,0,1,-2445047,-1471563250] 1 [196218490411057857080:-19209455033803900625406:19925653879482625]
42955l (2 curves)	0	5- 11- 71-	-1  2 5-  0 11- -2  6  6
Curve Equation t 42955l1 [1,1,1,-2725,-65438] 2 42955l2 [1,1,1,-45680,-3776750] 2

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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