Cremona's table of elliptic curves

880 = 2⁴ · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
880a (2 curves)	1	2+ 5+ 11+	2+  0 5+  2 11+ -4 -4  0
Curve Equation t Generators 880a1 [0,0,0,2,3] 2 [3:6:1] 880a2 [0,0,0,-23,38] 2 [1:4:1]
880b (2 curves)	0	2+ 5+ 11-	2+  0 5+  2 11-  0  0  8
Curve Equation t 880b1 [0,0,0,-38,87] 2 880b2 [0,0,0,17,318] 2
880c (4 curves)	1	2+ 5- 11-	2+  0 5- -4 11-  6 -6 -4
Curve Equation t Generators 880c1 [0,0,0,-5042,-137801] 2 [103:660:1] 880c2 [0,0,0,-5047,-137514] 4 [137:1320:1] 880c3 [0,0,0,-7547,12986] 4 [-13:330:1] 880c4 [0,0,0,-2627,-269646] 4 [83:290:1]
880d (1 curve)	1	2+ 5- 11-	2+ -3 5- -1 11- -6  3  5
Curve Equation t Generators 880d1 [0,0,0,-67,226] 1 [-3:20:1]
880e (2 curves)	0	2- 5+ 11+	2- -1 5+ -5 11+  2  3  7
Curve Equation t 880e1 [0,-1,0,-1416,-20240] 1 880e2 [0,-1,0,4744,-108944] 1
880f (2 curves)	1	2- 5+ 11-	2- -1 5+  1 11-  2 -3  1
Curve Equation t Generators 880f1 [0,-1,0,-16,-64] 1 [8:16:1] 880f2 [0,-1,0,144,1600] 1 [16:-88:1]
880g (2 curves)	1	2- 5- 11+	2-  1 5- -3 11+ -6 -7 -5
Curve Equation t Generators 880g1 [0,1,0,160,3188] 1 [26:160:1] 880g2 [0,1,0,-95040,11245748] 1 [178:8:1]
880h (2 curves)	1	2- 5- 11+	2- -2 5-  0 11+  0 -4  4
Curve Equation t Generators 880h1 [0,1,0,-5,-2] 2 [-2:2:1] 880h2 [0,1,0,-60,-200] 2 [15:50:1]
880i (4 curves)	0	2- 5- 11-	2-  0 5-  0 11-  2  6  4
Curve Equation t 880i1 [0,0,0,13,-14] 2 880i2 [0,0,0,-67,-126] 4 880i3 [0,0,0,-947,-11214] 2 880i4 [0,0,0,-467,3794] 4
880j (4 curves)	0	2- 5- 11-	2-  2 5-  4 11- -4  0  4
Curve Equation t 880j1 [0,-1,0,-45,-100] 2 880j2 [0,-1,0,-100,252] 2 880j3 [0,-1,0,-445,3720] 2 880j4 [0,-1,0,-7100,232652] 2

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