Cremona's table of elliptic curves

2838 = 2 · 3 · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
2838a (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  1 -1 11- -4  3  4
Curve Equation t Generators 2838a1 [1,1,0,-27,57] 1 [-4:13:1]
2838b (2 curves)	1	2+ 3- 11+ 43-	2+ 3-  3 -1 11+ -4 -3 -4
Curve Equation t Generators 2838b1 [1,0,1,-195152,33175838] 3 [249:67:1] 2838b2 [1,0,1,112513,124592978] 1 [267195:12449252:125]
2838c (1 curve)	1	2+ 3- 11- 43+	2+ 3- -1 -3 11-  4  3 -4
Curve Equation t Generators 2838c1 [1,0,1,-59,-250] 1 [15:40:1]
2838d (2 curves)	1	2- 3- 11+ 43+	2- 3-  0 -4 11+  0 -2 -4
Curve Equation t Generators 2838d1 [1,0,0,-78,-252] 2 [-6:6:1] 2838d2 [1,0,0,82,-1116] 2 [16:58:1]
2838e (6 curves)	1	2- 3- 11+ 43+	2- 3- -2  0 11+ -2 -6 -4
Curve Equation t Generators 2838e1 [1,0,0,-7269,237825] 4 [-78:615:1] 2838e2 [1,0,0,-8549,147969] 8 [-80:607:1] 2838e3 [1,0,0,-66869,-6558831] 4 [-152:391:1] 2838e4 [1,0,0,29291,1109105] 4 [20:1295:1] 2838e5 [1,0,0,-1065329,-423316035] 2 [-74470:37781:125] 2838e6 [1,0,0,-1529,-18803547] 2 [574:12733:1]
2838f (2 curves)	1	2- 3- 11- 43-	2- 3- -2 -2 11- -2 -2 -4
Curve Equation t Generators 2838f1 [1,0,0,-2244,17424] 2 [0:132:1] 2838f2 [1,0,0,7996,134160] 2 [-8:268:1]

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

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