Cremona's table of elliptic curves

12558 = 2 · 3 · 7 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
12558a (2 curves)	1	2+ 3+ 7+ 13+ 23+	2+ 3+  2 7+  6 13+  0 -4
Curve Equation t Generators 12558a1 [1,1,0,-184,-1472] 2 [29:122:1] 12558a2 [1,1,0,-3304,-74480] 2 [77:329:1]
12558b (2 curves)	0	2+ 3+ 7+ 13- 23+	2+ 3+  2 7+ -2 13-  6 -4
Curve Equation t 12558b1 [1,1,0,-149,-723] 2 12558b2 [1,1,0,131,-2795] 2
12558c (4 curves)	1	2+ 3+ 7+ 13- 23-	2+ 3+ -2 7+ -4 13-  6 -4
Curve Equation t Generators 12558c1 [1,1,0,-9606,-344556] 2 [-59:175:1] 12558c2 [1,1,0,-30086,1584660] 4 [-147:1764:1] 12558c3 [1,1,0,-453446,117331284] 4 [-581:13895:1] 12558c4 [1,1,0,65594,9717460] 2 [1519:59383:1]
12558d (2 curves)	0	2+ 3+ 7- 13+ 23+	2+ 3+ -2 7-  6 13+  4  0
Curve Equation t 12558d1 [1,1,0,8209,-368619] 2 12558d2 [1,1,0,-54971,-3792975] 2
12558e (2 curves)	0	2+ 3+ 7- 13- 23-	2+ 3+  2 7-  2 13-  2  4
Curve Equation t 12558e1 [1,1,0,-2859,-57603] 2 12558e2 [1,1,0,1621,-216195] 2
12558f (2 curves)	0	2+ 3- 7+ 13+ 23+	2+ 3- -2 7+  6 13+  2  4
Curve Equation t 12558f1 [1,0,1,-7195462,7428437636] 2 12558f2 [1,0,1,-7027392,7792006660] 2
12558g (2 curves)	0	2+ 3- 7+ 13+ 23+	2+ 3-  4 7+  0 13+  8 -2
Curve Equation t 12558g1 [1,0,1,-14204,-3039046] 2 12558g2 [1,0,1,-413564,-102080326] 2
12558h (2 curves)	2	2+ 3- 7+ 13+ 23+	2+ 3- -4 7+ -4 13+ -4 -2
Curve Equation t Generators 12558h1 [1,0,1,-2083,37802] 2 [-35:278:1]&[-27:286:1] 12558h2 [1,0,1,-33673,2375462] 2 [-38:1916:1]&[100:53:1]
12558i (2 curves)	1	2+ 3- 7+ 13+ 23-	2+ 3-  2 7+  2 13+  0  4
Curve Equation t Generators 12558i1 [1,0,1,-1364665,613524188] 2 [523:6290:1] 12558i2 [1,0,1,-21834985,39269676476] 2 [2692:-829:1]
12558j (2 curves)	1	2+ 3- 7- 13- 23-	2+ 3-  0 7-  0 13-  0 -6
Curve Equation t Generators 12558j1 [1,0,1,734,-11788] 2 [45:313:1] 12558j2 [1,0,1,-5506,-126604] 2 [84:31:1]
12558k (4 curves)	1	2- 3+ 7+ 13+ 23-	2- 3+ -2 7+ -4 13+  6 -8
Curve Equation t Generators 12558k1 [1,1,1,1291,26507] 4 [81:778:1] 12558k2 [1,1,1,-9289,267731] 4 [-53:810:1] 12558k3 [1,1,1,-48159,-3852489] 2 [-58232:239805:512] 12558k4 [1,1,1,-139699,20037887] 2 [3302:44237:8]
12558l (4 curves)	0	2- 3+ 7+ 13- 23-	2- 3+ -2 7+  0 13-  6  4
Curve Equation t 12558l1 [1,1,1,-14319,426165] 2 12558l2 [1,1,1,-206399,35999381] 4 12558l3 [1,1,1,-3302219,2308331261] 4 12558l4 [1,1,1,-183859,44194925] 2
12558m (6 curves)	0	2- 3+ 7+ 13- 23-	2- 3+ -2 7+  4 13-  2  4
Curve Equation t 12558m1 [1,1,1,-3094,64787] 4 12558m2 [1,1,1,-4374,4371] 8 12558m3 [1,1,1,-46694,-3889069] 4 12558m4 [1,1,1,17466,56787] 4 12558m5 [1,1,1,-746354,-248490205] 2 12558m6 [1,1,1,-24154,-7621693] 2
12558n (4 curves)	0	2- 3+ 7- 13- 23+	2- 3+  2 7-  0 13-  2  8
Curve Equation t 12558n1 [1,1,1,-598947,-189130047] 4 12558n2 [1,1,1,-9738467,-11701269439] 4 12558n3 [1,1,1,-155815307,-748688142607] 2 12558n4 [1,1,1,-9893947,-11308526959] 2
12558o (4 curves)	0	2- 3+ 7- 13- 23+	2- 3+ -2 7-  0 13-  2  4
Curve Equation t 12558o1 [1,1,1,-1064,-13015] 4 12558o2 [1,1,1,-16744,-840919] 4 12558o3 [1,1,1,-267904,-53484055] 2 12558o4 [1,1,1,-16464,-870039] 2
12558p (4 curves)	1	2- 3+ 7- 13- 23-	2- 3+ -2 7-  0 13- -2  4
Curve Equation t Generators 12558p1 [1,1,1,-68267119,-217131195595] 2 [-4769:2566:1] 12558p2 [1,1,1,-68594799,-214941899979] 4 [-4947:60440:1] 12558p3 [1,1,1,-144523119,346775811381] 4 [-12253:533562:1] 12558p4 [1,1,1,2090641,-636538138315] 2 [15661:1791512:1]
12558q (2 curves)	0	2- 3- 7- 13+ 23+	2- 3- -2 7- -6 13+ -6  4
Curve Equation t 12558q1 [1,0,0,-14,0] 2 12558q2 [1,0,0,56,14] 2
12558r (4 curves)	1	2- 3- 7- 13+ 23-	2- 3- -2 7- -4 13+  2  0
Curve Equation t Generators 12558r1 [1,0,0,836,7184] 2 [8:116:1] 12558r2 [1,0,0,-4284,63504] 4 [-36:432:1] 12558r3 [1,0,0,-30044,-1961232] 2 [-92:208:1] 12558r4 [1,0,0,-60444,5713200] 2 [-138:3450:1]

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