Cremona's table of elliptic curves

3380 = 2² · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
3380a (2 curves)	0	2- 5+ 13+	2-  1 5+  1 -3 13+ -3  7
Curve Equation t 3380a1 [0,1,0,-180886,-28292315] 1 3380a2 [0,1,0,-14461386,-21172000615] 1
3380b (2 curves)	0	2- 5+ 13+	2-  1 5+ -1  3 13+ -3  5
Curve Equation t 3380b1 [0,1,0,-5126,136865] 3 3380b2 [0,1,0,-49066,-4142891] 1
3380c (1 curve)	0	2- 5+ 13+	2- -1 5+  5 -5 13+ -1 -3
Curve Equation t 3380c1 [0,-1,0,-5126,34501] 1
3380d (1 curve)	2	2- 5+ 13+	2- -3 5+ -3 -3 13+ -7 -1
Curve Equation t Generators 3380d1 [0,0,0,-13,13] 1 [-3:5:1]&[-1:5:1]
3380e (2 curves)	1	2- 5- 13+	2-  1 5-  1 -3 13+ -3 -5
Curve Equation t Generators 3380e1 [0,1,0,-30,53] 1 [1:5:1] 3380e2 [0,1,0,-290,-1975] 1 [-10:5:1]
3380f (2 curves)	1	2- 5- 13+	2-  1 5- -1  3 13+ -3 -7
Curve Equation t Generators 3380f1 [0,1,0,-1070,-13207] 3 [-22:13:1] 3380f2 [0,1,0,-85570,-9663107] 1 [-4569:1:27]
3380g (1 curve)	1	2- 5- 13+	2- -1 5- -5  5 13+ -1  3
Curve Equation t Generators 3380g1 [0,-1,0,-30,25] 1 [0:5:1]
3380h (2 curves)	1	2- 5- 13+	2-  2 5- -2 -4 13+  2  0
Curve Equation t Generators 3380h1 [0,-1,0,-47545,4006170] 2 [117:177:1] 3380h2 [0,-1,0,-46700,4154552] 2 [334:5070:1]
3380i (4 curves)	1	2- 5- 13+	2- -2 5- -2  0 13+ -6  4
Curve Equation t Generators 3380i1 [0,1,0,-225,820] 2 [-12:44:1] 3380i2 [0,1,0,620,6228] 2 [43:338:1] 3380i3 [0,1,0,-6985,-226992] 2 [-49:5:1] 3380i4 [0,1,0,-6140,-283100] 2 [160:1690:1]
3380j (1 curve)	1	2- 5- 13+	2- -3 5-  3  3 13+ -7  1
Curve Equation t Generators 3380j1 [0,0,0,-2197,28561] 1 [0:169:1]

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