Cremona's table of elliptic curves

37696 = 2⁶ · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
37696a (2 curves)	1	2+ 19+ 31+	2+  2 -2  0  4  6 -6 19+
Curve Equation t Generators 37696a1 [0,-1,0,-769,-9471] 2 [169779:311820:4913] 37696a2 [0,-1,0,-12929,-561535] 2 [26471195805:-1054578212684:16581375]
37696b (2 curves)	2	2+ 19+ 31-	2+ -2 -2 -4  0 -2  2 19+
Curve Equation t Generators 37696b1 [0,1,0,-9,-329] 2 [9:20:1]&[11:32:1] 37696b2 [0,1,0,-769,-8385] 2 [-17:8:1]&[34:77:1]
37696c (1 curve)	0	2+ 19- 31+	2+  0 -3  1 -3 -2  3 19-
Curve Equation t 37696c1 [0,0,0,-464,-3936] 1
37696d (1 curve)	0	2+ 19- 31+	2+  1  0 -1  2  5  7 19-
Curve Equation t 37696d1 [0,1,0,15807,-1150945] 1
37696e (1 curve)	0	2+ 19- 31+	2+  2  1 -3 -5 -4 -3 19-
Curve Equation t 37696e1 [0,-1,0,797435,382802589] 1
37696f (2 curves)	0	2+ 19- 31+	2+  2 -2  4  0 -2  2 19-
Curve Equation t 37696f1 [0,-1,0,-9,329] 2 37696f2 [0,-1,0,-769,8385] 2
37696g (2 curves)	0	2+ 19- 31+	2+ -2 -2  0 -2  4  6 19-
Curve Equation t 37696g1 [0,1,0,-946049,404702431] 2 37696g2 [0,1,0,-15732609,24012924127] 2
37696h (1 curve)	0	2+ 19- 31+	2+ -3  2  3  0  1 -3 19-
Curve Equation t 37696h1 [0,0,0,-59884,-5651792] 1
37696i (1 curve)	1	2+ 19- 31-	2+  1 -2 -5 -4  5 -3 19-
Curve Equation t Generators 37696i1 [0,1,0,831,2207] 1 [13:124:1]
37696j (1 curve)	0	2- 19+ 31+	2- -1 -2  5  4  5 -3 19+
Curve Equation t 37696j1 [0,-1,0,831,-2207] 1
37696k (1 curve)	1	2- 19+ 31-	2-  0 -3 -1  3 -2  3 19+
Curve Equation t Generators 37696k1 [0,0,0,-464,3936] 1 [17:31:1]
37696l (1 curve)	1	2- 19+ 31-	2- -1  0  1 -2  5  7 19+
Curve Equation t Generators 37696l1 [0,-1,0,15807,1150945] 1 [-57:248:1]
37696m (2 curves)	1	2- 19+ 31-	2-  2 -2  0  2  4  6 19+
Curve Equation t Generators 37696m1 [0,-1,0,-946049,-404702431] 2 [107031061875765:-2759036752314368:72043225281] 37696m2 [0,-1,0,-15732609,-24012924127] 2 [-24110341377:-5641884928:10503459]
37696n (1 curve)	1	2- 19+ 31-	2- -2  1  3  5 -4 -3 19+
Curve Equation t Generators 37696n1 [0,1,0,797435,-382802589] 1 [221150:104000381:1]
37696o (1 curve)	1	2- 19+ 31-	2-  3  2 -3  0  1 -3 19+
Curve Equation t Generators 37696o1 [0,0,0,-59884,5651792] 1 [3252:11656:27]
37696p (2 curves)	2	2- 19- 31-	2- -2 -2  0 -4  6 -6 19-
Curve Equation t Generators 37696p1 [0,1,0,-769,9471] 2 [-14:133:1]&[5:76:1] 37696p2 [0,1,0,-12929,561535] 2 [63:32:1]&[114:763:1]

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