Cremona's table of elliptic curves

35742 = 2 · 3 · 7 · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
35742a (1 curve)	1	2+ 3+ 7+ 23+ 37+	2+ 3+ -1 7+  4 -2 -2 -7
Curve Equation t Generators 35742a1 [1,1,0,-2163,38871] 1 [-37:283:1]
35742b (2 curves)	1	2+ 3+ 7+ 23+ 37+	2+ 3+  2 7+  0 -4  0 -2
Curve Equation t Generators 35742b1 [1,1,0,56511,-2699487] 2 [13662:563247:8] 35742b2 [1,1,0,-258359,-23291985] 2 [-14060:313455:64]
35742c (1 curve)	1	2+ 3+ 7+ 23+ 37+	2+ 3+  2 7+  0 -4  5  5
Curve Equation t Generators 35742c1 [1,1,0,-24,438] 1 [-1:22:1]
35742d (2 curves)	1	2+ 3+ 7- 23+ 37-	2+ 3+ -2 7-  2  2  0 -8
Curve Equation t Generators 35742d1 [1,1,0,-110131,-14055059] 2 [-901833:1106201:4913] 35742d2 [1,1,0,-169011,2537325] 2 [-103:4395:1]
35742e (2 curves)	1	2+ 3- 7+ 23- 37+	2+ 3-  0 7+  0  2 -2 -8
Curve Equation t Generators 35742e1 [1,0,1,389,17330] 2 [16:-175:1] 35742e2 [1,0,1,-8121,265822] 2 [-100:333:1]
35742f (2 curves)	0	2+ 3- 7- 23+ 37-	2+ 3- -2 7-  6  2  0  4
Curve Equation t 35742f1 [1,0,1,-32,26] 2 35742f2 [1,0,1,-262,-1630] 2
35742g (2 curves)	0	2+ 3- 7- 23+ 37-	2+ 3-  3 7-  0 -4  0  2
Curve Equation t 35742g1 [1,0,1,-32,992] 3 35742g2 [1,0,1,283,-26728] 1
35742h (2 curves)	0	2- 3+ 7+ 23+ 37+	2- 3+  2 7+  2  2  4  8
Curve Equation t 35742h1 [1,1,1,-207,789] 2 35742h2 [1,1,1,-1127,-14299] 2
35742i (4 curves)	0	2- 3+ 7+ 23+ 37+	2- 3+  2 7+  4 -6 -6 -4
Curve Equation t 35742i1 [1,1,1,-23477,-1394341] 2 35742i2 [1,1,1,-23797,-1354789] 4 35742i3 [1,1,1,16163,-5398741] 2 35742i4 [1,1,1,-68877,5226891] 2
35742j (1 curve)	1	2- 3+ 7+ 23- 37+	2- 3+ -3 7+ -4 -4 -4  6
Curve Equation t Generators 35742j1 [1,1,1,-542927,154666325] 1 [555:4690:1]
35742k (2 curves)	1	2- 3+ 7- 23+ 37+	2- 3+  2 7- -4  6 -2  6
Curve Equation t Generators 35742k1 [1,1,1,-242,5951] 2 [5:67:1] 35742k2 [1,1,1,-6682,206879] 2 [51:19:1]
35742l (1 curve)	1	2- 3- 7+ 23+ 37+	2- 3-  0 7+  2 -4  3  5
Curve Equation t Generators 35742l1 [1,0,0,-4568,-119232] 1 [144:1416:1]
35742m (2 curves)	1	2- 3- 7+ 23+ 37+	2- 3-  0 7+ -4  2  6 -4
Curve Equation t Generators 35742m1 [1,0,0,-9013,336545] 2 [38:-241:1] 35742m2 [1,0,0,-145173,21277953] 2 [134:1991:1]
35742n (2 curves)	0	2- 3- 7+ 23+ 37-	2- 3-  2 7+ -2  4 -6  2
Curve Equation t 35742n1 [1,0,0,-3812,-100080] 2 35742n2 [1,0,0,-62692,-6046960] 2
35742o (3 curves)	1	2- 3- 7- 23+ 37-	2- 3-  0 7-  6 -4 -3 -7
Curve Equation t Generators 35742o1 [1,0,0,-553,12761] 3 [-22:131:1] 35742o2 [1,0,0,4847,-297631] 3 [104:1103:1] 35742o3 [1,0,0,-236023,-44227657] 1 [403444:31732873:64]
35742p (2 curves)	1	2- 3- 7- 23- 37+	2- 3- -2 7- -2  0 -2 -2
Curve Equation t Generators 35742p1 [1,0,0,319956,-52150896] 2 [2268:109956:1] 35742p2 [1,0,0,-1626764,-466802256] 2 [-446:13264:1]

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