Cremona's table of elliptic curves

42588 = 2² · 3² · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
42588a (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+  4 13+  4  4
Curve Equation t 42588a1 [0,0,0,20280,-850239] 2 42588a2 [0,0,0,-103935,-7632378] 2
42588b (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+ -4 13+ -4  4
Curve Equation t 42588b1 [0,0,0,182520,22956453] 2 42588b2 [0,0,0,-935415,206074206] 2
42588c (2 curves)	1	2- 3+ 7- 13+	2- 3+  2 7- -2 13+  4  4
Curve Equation t Generators 42588c1 [0,0,0,54756,-2194803] 2 [2100020:44012501:8000] 42588c2 [0,0,0,-241839,-18388890] 2 [1222:38870:1]
42588d (2 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7-  2 13+ -4  4
Curve Equation t Generators 42588d1 [0,0,0,6084,81289] 2 [26:-507:1] 42588d2 [0,0,0,-26871,681070] 2 [-13:1014:1]
42588e (4 curves)	1	2- 3- 7+ 13+	2- 3-  0 7+ -6 13+  0  4
Curve Equation t Generators 42588e1 [0,0,0,10140,134017] 2 [78:-1183:1] 42588e2 [0,0,0,-43095,1102894] 2 [-217:486:1] 42588e3 [0,0,0,-172380,28369861] 2 [2002:7605:8] 42588e4 [0,0,0,-2780895,1784943862] 2 [-1738:36990:1]
42588f (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+  2 13+  3 -6
Curve Equation t Generators 42588f1 [0,0,0,-3539367,-2571004098] 1 [52113975:2355523002:15625]
42588g (1 curve)	1	2- 3- 7+ 13+	2- 3-  1 7+ -6 13+  8 -3
Curve Equation t Generators 42588g1 [0,0,0,-555672,163289828] 1 [364:-3042:1]
42588h (1 curve)	1	2- 3- 7+ 13+	2- 3- -1 7+  2 13+  3 -2
Curve Equation t Generators 42588h1 [0,0,0,897,152854] 1 [-10:378:1]
42588i (2 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+  0 13+ -4  0
Curve Equation t Generators 42588i1 [0,0,0,-44616,-4049071] 2 [520:-10647:1] 42588i2 [0,0,0,-736671,-243361690] 2 [-497:18:1]
42588j (1 curve)	1	2- 3- 7+ 13+	2- 3-  3 7+ -2 13+  7 -2
Curve Equation t Generators 42588j1 [0,0,0,257049,20049822] 1 [303:11214:1]
42588k (1 curve)	1	2- 3- 7+ 13+	2- 3- -3 7+ -2 13+  4  1
Curve Equation t Generators 42588k1 [0,0,0,-888264,-322932636] 1 [1092:3042:1]
42588l (2 curves)	0	2- 3- 7+ 13-	2- 3-  0 7+  4 13-  6  8
Curve Equation t 42588l1 [0,0,0,-263640,-39728351] 2 42588l2 [0,0,0,626145,-250251482] 2
42588m (1 curve)	0	2- 3- 7+ 13-	2- 3-  1 7+  0 13- -2 -5
Curve Equation t 42588m1 [0,0,0,52728,-16336892] 1
42588n (2 curves)	0	2- 3- 7+ 13-	2- 3- -2 7+  2 13- -2  4
Curve Equation t 42588n1 [0,0,0,-861276,-198676231] 2 42588n2 [0,0,0,-12375831,-16754303410] 2
42588o (2 curves)	0	2- 3- 7+ 13-	2- 3- -4 7+  0 13- -2  0
Curve Equation t 42588o1 [0,0,0,-4585152,3779009845] 2 42588o2 [0,0,0,-4537767,3860938510] 2
42588p (2 curves)	0	2- 3- 7- 13+	2- 3-  0 7- -2 13+ -4 -4
Curve Equation t 42588p1 [0,0,0,-476580,-245675131] 2 42588p2 [0,0,0,-9473295,-11216269402] 2
42588q (1 curve)	0	2- 3- 7- 13+	2- 3-  1 7- -2 13+  3  2
Curve Equation t 42588q1 [0,0,0,151593,335820238] 1
42588r (1 curve)	0	2- 3- 7- 13+	2- 3-  1 7- -4 13+  2  1
Curve Equation t 42588r1 [0,0,0,-8112,-518492] 1
42588s (1 curve)	0	2- 3- 7- 13+	2- 3- -1 7-  2 13+  4 -1
Curve Equation t 42588s1 [0,0,0,-3013608,-5056149436] 1
42588t (1 curve)	0	2- 3- 7- 13+	2- 3- -1 7- -2 13+  3  6
Curve Equation t 42588t1 [0,0,0,-20943,-1170234] 1
42588u (2 curves)	0	2- 3- 7- 13+	2- 3- -2 7-  0 13+  4  8
Curve Equation t 42588u1 [0,0,0,77064,-13944359] 2 42588u2 [0,0,0,-614991,-152493770] 2
42588v (1 curve)	0	2- 3- 7- 13+	2- 3- -3 7-  2 13+  7  2
Curve Equation t 42588v1 [0,0,0,1521,9126] 1
42588w (2 curves)	0	2- 3- 7- 13+	2- 3-  4 7-  2 13+  4  4
Curve Equation t 42588w1 [0,0,0,-2028,142805] 2 42588w2 [0,0,0,-55263,4987190] 2
42588x (2 curves)	1	2- 3- 7- 13-	2- 3-  0 7- -4 13-  6 -8
Curve Equation t Generators 42588x1 [0,0,0,-1560,-18083] 2 [143:1638:1] 42588x2 [0,0,0,3705,-113906] 2 [78:806:1]
42588y (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  0 13- -2  5
Curve Equation t Generators 42588y1 [0,0,0,312,-7436] 1 [130:351:8]
42588z (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7- -2 13- -2 -4
Curve Equation t Generators 42588z1 [0,0,0,-145555644,-436491679507] 2 [-662020569622:-46997403609177:96071912] 42588z2 [0,0,0,-2091515439,-36809204591770] 2 [425567463636921660791864530:-26612496115584469566244056470:7796666237576610057299]
42588ba (2 curves)	1	2- 3- 7- 13-	2- 3-  4 7-  0 13- -2  0
Curve Equation t Generators 42588ba1 [0,0,0,-774890688,8302484629465] 2 [9980:1250235:1] 42588ba2 [0,0,0,-766882623,8482481906470] 2 [22815:1691690:1]

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