Cremona's table of elliptic curves

127088 = 2⁴ · 13² · 47

Class	r	Atkin-Lehner	Eigenvalues
127088a (1 curve)	1	2+ 13+ 47+	2+ -1 -2  2  1 13+  3  4
Curve Equation t Generators 127088a1 [0,-1,0,-509929,-140000251] 1 [5064134510:449953948093:636056]
127088b (1 curve)	1	2+ 13+ 47+	2+  2 -1  3  3 13+  2 -5
Curve Equation t Generators 127088b1 [0,-1,0,-56,272] 1 [-8:12:1]
127088c (1 curve)	0	2+ 13+ 47-	2+  2  1 -3 -3 13+  2  5
Curve Equation t 127088c1 [0,-1,0,-9520,559584] 1
127088d (2 curves)	0	2- 13+ 47+	2-  0  0  0  2 13+ -2 -2
Curve Equation t 127088d1 [0,0,0,845,92274] 2 127088d2 [0,0,0,-26195,1568658] 2
127088e (1 curve)	0	2- 13+ 47+	2-  1  2  1 -3 13+ -1 -1
Curve Equation t 127088e1 [0,1,0,-66642,-5729125] 1
127088f (1 curve)	2	2- 13+ 47+	2-  1  2 -3 -3 13+ -5  7
Curve Equation t Generators 127088f1 [0,1,0,-82,235] 1 [3:5:1]&[90:235:8]
127088g (2 curves)	0	2- 13+ 47+	2-  2 -3 -1 -3 13+ -6  5
Curve Equation t 127088g1 [0,-1,0,218968,172839536] 1 127088g2 [0,-1,0,-18060072,29565535856] 1
127088h (1 curve)	0	2- 13+ 47+	2- -2  0  4  4 13+ -7  2
Curve Equation t 127088h1 [0,1,0,-670648,211177812] 1
127088i (1 curve)	0	2- 13+ 47+	2- -2  3  4 -2 13+  7 -2
Curve Equation t 127088i1 [0,1,0,1296,17044] 1
127088j (1 curve)	2	2- 13+ 47+	2- -2 -4  0  0 13+  1 -2
Curve Equation t Generators 127088j1 [0,1,0,17520,-307436] 1 [290:5408:1]&[108:1690:1]
127088k (1 curve)	0	2- 13+ 47+	2- -3  2  2 -3 13+  3 -4
Curve Equation t 127088k1 [0,0,0,-2704,-175760] 1
127088l (1 curve)	1	2- 13+ 47-	2-  1 -2 -1  3 13+ -1  1
Curve Equation t Generators 127088l1 [0,1,0,-394,-2729] 1 [-9:13:1]
127088m (1 curve)	1	2- 13+ 47-	2-  1 -2  3  3 13+ -5 -7
Curve Equation t Generators 127088m1 [0,1,0,-13914,571871] 1 [-113:845:1]
127088n (2 curves)	1	2- 13+ 47-	2-  2  3  1  3 13+ -6 -5
Curve Equation t Generators 127088n1 [0,-1,0,1296,78272] 1 [104:1152:1] 127088n2 [0,-1,0,-106864,13490112] 1 [984:29328:1]
127088o (1 curve)	1	2- 13+ 47-	2- -2 -3 -4  2 13+  7  2
Curve Equation t Generators 127088o1 [0,1,0,218968,36569716] 1 [-140:1786:1]
127088p (2 curves)	1	2- 13- 47+	2-  1 -2  2 -5 13-  7  4
Curve Equation t Generators 127088p1 [0,1,0,-1277189,555138611] 1 [5038650:57537233:5832] 127088p2 [0,1,0,4698651,2774987411] 1 [-192462974319529786365818046:1024569023133993537391259237:348127920130205568317544]
127088q (2 curves)	0	2- 13- 47-	2-  1  2 -2  5 13-  7 -4
Curve Equation t 127088q1 [0,1,0,-7557,250355] 1 127088q2 [0,1,0,27803,1271635] 1

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

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