Cremona's table of elliptic curves

42952 = 2³ · 7 · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
42952a (1 curve)	1	2+ 7+ 13+ 59+	2+ -2  1 7+ -2 13+ -4 -5
Curve Equation t Generators 42952a1 [0,1,0,-123950505,-531195451013] 1 [19672210866:-1559042453299:1225043]
42952b (1 curve)	0	2+ 7+ 13+ 59-	2+  2 -1 7+ -5 13+  8 -4
Curve Equation t 42952b1 [0,-1,0,-736,-7443] 1
42952c (1 curve)	1	2+ 7- 13- 59+	2+  0  1 7-  0 13- -2  3
Curve Equation t Generators 42952c1 [0,0,0,-3212,70068] 1 [44:118:1]
42952d (1 curve)	1	2+ 7- 13- 59+	2+  2  3 7-  1 13- -2 -4
Curve Equation t Generators 42952d1 [0,-1,0,-124,-483] 1 [-6:3:1]
42952e (1 curve)	2	2- 7+ 13+ 59+	2- -2  1 7+ -6 13+  0  3
Curve Equation t Generators 42952e1 [0,1,0,-105,-21269] 1 [30:59:1]&[49:306:1]
42952f (4 curves)	1	2- 7+ 13+ 59-	2-  0  2 7+  0 13+ -6 -4
Curve Equation t Generators 42952f1 [0,0,0,-194,-803] 2 [-222:415:27] 42952f2 [0,0,0,-1039,12210] 4 [13:30:1] 42952f3 [0,0,0,781,50430] 2 [195:2760:1] 42952f4 [0,0,0,-16379,806822] 2 [5673:69580:27]
42952g (1 curve)	1	2- 7- 13+ 59+	2- -2 -1 7- -1 13+ -6 -4
Curve Equation t Generators 42952g1 [0,1,0,-429476,10120813] 1 [-414:10823:1]
42952h (1 curve)	0	2- 7- 13+ 59-	2-  1  2 7-  1 13+ -6  4
Curve Equation t 42952h1 [0,1,0,118208,-25395872] 1
42952i (1 curve)	2	2- 7- 13- 59+	2- -2 -3 7- -4 13- -2 -1
Curve Equation t Generators 42952i1 [0,1,0,-307977,65780011] 1 [393:2366:1]&[-114:9971:1]
42952j (1 curve)	1	2- 7- 13- 59-	2-  0  3 7-  0 13-  2 -3
Curve Equation t Generators 42952j1 [0,0,0,3964,-113388] 1 [68:-686:1]

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