Cremona's table of elliptic curves

38829 = 3 · 7 · 43²

Class	r	Atkin-Lehner	Eigenvalues
38829a (2 curves)	1	3+ 7+ 43+	-1 3+  2 7+  6  6 -2 -4
Curve Equation t Generators 38829a1 [1,1,1,-6467,-202864] 2 [-103246:51622:2197] 38829a2 [1,1,1,-6682,-188932] 2 [-34:36:1]
38829b (3 curves)	0	3+ 7+ 43-	0 3+  0 7+ -3  5 -3 -2
Curve Equation t 38829b1 [0,-1,1,-80123,3456143729] 1 38829b2 [0,-1,1,-175309853,893538253106] 1 38829b3 [0,-1,1,-14200344653,651327773598287] 1
38829c (2 curves)	2	3+ 7- 43+	1 3+  0 7-  2 -6 -6  4
Curve Equation t Generators 38829c1 [1,1,0,5,64] 2 [0:8:1]&[5586:26447:216] 38829c2 [1,1,0,-210,1053] 2 [-12:51:1]&[-4:45:1]
38829d (1 curve)	1	3+ 7- 43-	0 3+  0 7- -3  1  1  6
Curve Equation t Generators 38829d1 [0,-1,1,12327,-3373] 1 [717:19414:1]
38829e (1 curve)	1	3+ 7- 43-	0 3+ -3 7- -6 -2 -2 -6
Curve Equation t Generators 38829e1 [0,-1,1,-57,-148] 1 [-4:0:1]
38829f (6 curves)	1	3+ 7- 43-	1 3+  2 7-  4 -2 -6 -4
Curve Equation t Generators 38829f1 [1,1,0,1811,7288] 2 [24822:1370641:8] 38829f2 [1,1,0,-7434,49815] 4 [2997720:87934995:681472] 38829f3 [1,1,0,-72149,-7444182] 2 [-2783620680064136:3977295404139553:17141581090304] 38829f4 [1,1,0,-90639,10450440] 4 [8052:61809:64] 38829f5 [1,1,0,-62904,17001447] 2 [-3462:131161:27] 38829f6 [1,1,0,-1449654,671203533] 2 [307047676:-58373783:438976]
38829g (1 curve)	0	3- 7+ 43+	0 3-  3 7+ -6 -2 -2  6
Curve Equation t 38829g1 [0,1,1,-106009,13228345] 1
38829h (2 curves)	0	3- 7+ 43+	-1 3-  0 7+  2 -6 -6 -4
Curve Equation t 38829h1 [1,0,0,8282,-4933621] 2 38829h2 [1,0,0,-389253,-90721674] 2
38829i (2 curves)	1	3- 7- 43+	1 3- -2 7-  6  6 -2  4
Curve Equation t Generators 38829i1 [1,0,1,-11957522,15913858535] 2 [468232692345:-20270885122756:121287375] 38829i2 [1,0,1,-12355057,14799011381] 2 [-243505:22298383:125]

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

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