Cremona's table of elliptic curves

126945 = 3² · 5 · 7 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
126945a (2 curves)	1	3+ 5+ 7+ 13- 31-	-1 3+ 5+ 7+  0 13-  0  4
Curve Equation t Generators 126945a1 [1,-1,1,-488,-4014] 2 [-12:6:1] 126945a2 [1,-1,1,-683,-348] 2 [-12:83:1]
126945b (2 curves)	1	3+ 5+ 7- 13+ 31-	-1 3+ 5+ 7- -2 13+ -4  4
Curve Equation t Generators 126945b1 [1,-1,1,-38693,1098172] 2 [185:403:1] 126945b2 [1,-1,1,-335288,-73881044] 2 [-307:370:1]
126945c (2 curves)	0	3+ 5- 7+ 13- 31-	1 3+ 5- 7+  0 13-  0  4
Curve Equation t 126945c1 [1,-1,0,-4389,112760] 2 126945c2 [1,-1,0,-6144,15533] 2
126945d (2 curves)	0	3+ 5- 7- 13+ 31-	1 3+ 5- 7-  2 13+  4  4
Curve Equation t 126945d1 [1,-1,0,-4299,-39240] 2 126945d2 [1,-1,0,-37254,2748753] 2
126945e (2 curves)	0	3- 5+ 7+ 13+ 31+	1 3- 5+ 7+  6 13+  2  0
Curve Equation t 126945e1 [1,-1,0,-2070,14175] 2 126945e2 [1,-1,0,-17865,-905094] 2
126945f (1 curve)	0	3- 5+ 7+ 13+ 31+	-2 3- 5+ 7+  0 13+  5  3
Curve Equation t 126945f1 [0,0,1,373857,-7925652] 1
126945g (2 curves)	0	3- 5+ 7+ 13- 31-	-1 3- 5+ 7+  6 13-  6  4
Curve Equation t 126945g1 [1,-1,1,-64643,6668106] 2 126945g2 [1,-1,1,-1049018,413805606] 2
126945h (1 curve)	2	3- 5+ 7+ 13- 31-	-2 3- 5+ 7+ -3 13- -6  0
Curve Equation t Generators 126945h1 [0,0,1,-165933,26016788] 1 [-444:3487:1]&[114:2929:1]
126945i (1 curve)	1	3- 5+ 7- 13+ 31+	-2 3- 5+ 7-  0 13+ -3 -5
Curve Equation t Generators 126945i1 [0,0,1,-363,-3042] 1 [24:45:1]
126945j (4 curves)	0	3- 5+ 7- 13+ 31-	-1 3- 5+ 7-  4 13+  2  4
Curve Equation t 126945j1 [1,-1,1,4027,217532] 2 126945j2 [1,-1,1,-39218,2604656] 4 126945j3 [1,-1,1,-166163,-23444458] 2 126945j4 [1,-1,1,-604193,180910766] 2
126945k (4 curves)	0	3- 5+ 7- 13+ 31-	-1 3- 5+ 7- -4 13+  2  4
Curve Equation t 126945k1 [1,-1,1,-229343,-44832234] 2 126945k2 [1,-1,1,-3732188,-2774249058] 4 126945k3 [1,-1,1,-3794963,-2676043848] 2 126945k4 [1,-1,1,-59714933,-177597165144] 2
126945l (6 curves)	0	3- 5+ 7- 13- 31+	1 3- 5+ 7- -4 13- -2  4
Curve Equation t 126945l1 [1,-1,0,-277695,-56255504] 2 126945l2 [1,-1,0,-277740,-56236325] 4 126945l3 [1,-1,0,-223335,-78966734] 2 126945l4 [1,-1,0,-332865,-32279000] 4 126945l5 [1,-1,0,1180710,-245087645] 2 126945l6 [1,-1,0,-2728440,1713136945] 2
126945m (1 curve)	1	3- 5+ 7- 13- 31-	0 3- 5+ 7-  2 13- -7  3
Curve Equation t Generators 126945m1 [0,0,1,-872028,654786254] 1 [21076:3056826:1]
126945n (1 curve)	1	3- 5+ 7- 13- 31-	0 3- 5+ 7- -3 13-  8 -2
Curve Equation t Generators 126945n1 [0,0,1,-3891018,-2954223752] 1 [2896:100327:1]
126945o (2 curves)	1	3- 5+ 7- 13- 31-	0 3- 5+ 7-  6 13- -3 -1
Curve Equation t Generators 126945o1 [0,0,1,-23448,-1400697] 1 [1083:35262:1] 126945o2 [0,0,1,88152,-6859332] 3 [301584:711665:4096]
126945p (4 curves)	0	3- 5- 7+ 13+ 31-	1 3- 5- 7+  0 13+  2 -4
Curve Equation t 126945p1 [1,-1,0,-82899,9206568] 2 126945p2 [1,-1,0,-90504,7422435] 4 126945p3 [1,-1,0,241191,49016988] 2 126945p4 [1,-1,0,-543879,-148447890] 2
126945q (4 curves)	1	3- 5- 7+ 13- 31-	-1 3- 5- 7+ -4 13-  6 -4
Curve Equation t Generators 126945q1 [1,-1,1,-977,16381136] 2 [474:10819:1] 126945q2 [1,-1,1,-973382,364113164] 4 [384:6652:1] 126945q3 [1,-1,1,-1998707,-535301926] 2 [2169:71923:1] 126945q4 [1,-1,1,-15506537,23506709186] 4 [2256:334:1]
126945r (2 curves)	1	3- 5- 7- 13+ 31-	1 3- 5- 7- -2 13+ -6 -8
Curve Equation t Generators 126945r1 [1,-1,0,-1134,-13937] 2 [-18:29:1] 126945r2 [1,-1,0,-2889,41170] 2 [-34:332:1]

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

Part of Computational Number Theory
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