Cremona's table of elliptic curves

15088 = 2⁴ · 23 · 41

Class	r	Atkin-Lehner	Eigenvalues
15088a (2 curves)	0	2+ 23- 41+	2+ -2 -2  4  2  4  2 -6
Curve Equation t 15088a1 [0,1,0,-24384,-1458044] 2 15088a2 [0,1,0,-45544,1428180] 2
15088b (2 curves)	0	2- 23+ 41+	2- -2  2 -4  2  0  6  2
Curve Equation t 15088b1 [0,1,0,-7272,-241100] 2 15088b2 [0,1,0,-7912,-196812] 2
15088c (2 curves)	1	2- 23+ 41-	2-  0 -2 -2 -2 -2  4  2
Curve Equation t Generators 15088c1 [0,0,0,-21011,-1133870] 2 [343:5658:1] 15088c2 [0,0,0,8429,-4060206] 2 [511:11562:1]
15088d (2 curves)	1	2- 23+ 41-	2- -2 -2  0  0 -2  0  0
Curve Equation t Generators 15088d1 [0,1,0,-504,3796] 2 [6:32:1] 15088d2 [0,1,0,-7864,265812] 2 [52:14:1]
15088e (4 curves)	2	2- 23- 41-	2-  0 -2  0 -4 -2 -2  4
Curve Equation t Generators 15088e1 [0,0,0,229,714] 2 [-1:22:1]&[6:48:1] 15088e2 [0,0,0,-1051,6090] 4 [-17:138:1]&[127:1386:1] 15088e3 [0,0,0,-8411,-292726] 2 [-49:42:1]&[106:82:1] 15088e4 [0,0,0,-14171,648970] 4 [-137:138:1]&[-99:1040:1]
15088f (2 curves)	0	2- 23- 41-	2-  0 -2 -2 -2  6  8  2
Curve Equation t 15088f1 [0,0,0,-211,-1326] 2 15088f2 [0,0,0,-3491,-79390] 2
15088g (2 curves)	0	2- 23- 41-	2- -2 -2 -4  4  6  0 -4
Curve Equation t 15088g1 [0,1,0,-7864,-269484] 2 15088g2 [0,1,0,-125624,-17179820] 2

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

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