Cremona's table of elliptic curves

27880 = 2³ · 5 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
27880a (1 curve)	1	2+ 5+ 17+ 41+	2+ -1 5+  5  0  2 17+  2
Curve Equation t Generators 27880a1 [0,-1,0,-16,5] 1 [-2:5:1]
27880b (1 curve)	1	2+ 5+ 17+ 41+	2+ -3 5+  3  0 -2 17+  7
Curve Equation t Generators 27880b1 [0,0,0,2717,15982] 1 [7:188:1]
27880c (2 curves)	0	2+ 5+ 17+ 41-	2+ -2 5+  2  2  2 17+ -6
Curve Equation t 27880c1 [0,1,0,-3916,-95616] 2 27880c2 [0,1,0,-3416,-120416] 2
27880d (2 curves)	1	2+ 5+ 17- 41-	2+  2 5+ -2  2 -2 17-  2
Curve Equation t Generators 27880d1 [0,-1,0,-3116,-40684] 2 [-4630:18768:125] 27880d2 [0,-1,0,9384,-295684] 2 [538:6375:8]
27880e (1 curve)	1	2+ 5- 17- 41+	2+  1 5-  3  0  2 17- -3
Curve Equation t Generators 27880e1 [0,1,0,-680,-7072] 1 [116:1220:1]
27880f (2 curves)	1	2+ 5- 17- 41+	2+ -2 5-  0 -6 -4 17- -6
Curve Equation t Generators 27880f1 [0,1,0,-1183120,492927600] 2 [35:21250:1] 27880f2 [0,1,0,-1808120,-85072400] 2 [13130:296225:8]
27880g (1 curve)	1	2- 5+ 17+ 41-	2- -3 5+ -2 -2  3 17+ -1
Curve Equation t Generators 27880g1 [0,0,0,437,-2138] 1 [14:82:1]
27880h (1 curve)	1	2- 5- 17+ 41+	2- -1 5- -3 -4  6 17+ -2
Curve Equation t Generators 27880h1 [0,-1,0,-92120,-10226975] 1 [-160:-625:1]
27880i (4 curves)	0	2- 5- 17+ 41-	2-  0 5-  4  4 -6 17+ -4
Curve Equation t 27880i1 [0,0,0,-12602,541029] 4 27880i2 [0,0,0,-21007,-270894] 4 27880i3 [0,0,0,81493,-2136394] 2 27880i4 [0,0,0,-257987,-50368466] 2

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

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