Cremona's table of elliptic curves

12726 = 2 · 3² · 7 · 101

Class	r	Atkin-Lehner	Eigenvalues
12726a (2 curves)	0	2+ 3+ 7+ 101-	2+ 3+ -2 7+ -4  4  6 -2
Curve Equation t 12726a1 [1,-1,0,-1653,-9675] 2 12726a2 [1,-1,0,6027,-78795] 2
12726b (1 curve)	2	2+ 3+ 7+ 101-	2+ 3+ -3 7+ -4  4 -4 -6
Curve Equation t Generators 12726b1 [1,-1,0,-231,1411] 1 [-3:47:1]&[-1:41:1]
12726c (1 curve)	1	2+ 3+ 7- 101-	2+ 3+ -3 7-  4 -4 -4 -6
Curve Equation t Generators 12726c1 [1,-1,0,28329,-3359587] 1 [217:3493:1]
12726d (1 curve)	1	2+ 3- 7+ 101-	2+ 3-  1 7+  2 -2  0 -2
Curve Equation t Generators 12726d1 [1,-1,0,-5409,168021] 1 [31:156:1]
12726e (1 curve)	1	2+ 3- 7- 101+	2+ 3-  3 7- -6 -2  0  2
Curve Equation t Generators 12726e1 [1,-1,0,252,5782] 1 [17:113:1]
12726f (2 curves)	0	2- 3+ 7+ 101+	2- 3+  2 7+  4  4 -6 -2
Curve Equation t 12726f1 [1,-1,1,-14879,276103] 2 12726f2 [1,-1,1,54241,2073223] 2
12726g (1 curve)	0	2- 3+ 7+ 101+	2- 3+  3 7+  4  4  4 -6
Curve Equation t 12726g1 [1,-1,1,-2081,-36017] 1
12726h (1 curve)	1	2- 3+ 7- 101+	2- 3+  3 7- -4 -4  4 -6
Curve Equation t Generators 12726h1 [1,-1,1,254959,90453889] 1 [-209:5396:1]
12726i (1 curve)	0	2- 3- 7+ 101-	2- 3- -2 7+  2 -2  0 -8
Curve Equation t 12726i1 [1,-1,1,-2921,-60055] 1
12726j (1 curve)	2	2- 3- 7+ 101-	2- 3- -3 7+ -6 -6 -8 -6
Curve Equation t Generators 12726j1 [1,-1,1,-194,3777] 1 [89:-873:1]&[-15:63:1]

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