Cremona's table of elliptic curves

34138 = 2 · 13² · 101

Class	r	Atkin-Lehner	Eigenvalues
34138a (1 curve)	1	2+ 13+ 101+	2+  1 -2  2 -4 13+  3 -7
Curve Equation t Generators 34138a1 [1,0,1,-421152,-105280914] 1 [52085457:171276955:68921]
34138b (2 curves)	1	2+ 13+ 101+	2+  2 -2 -4  0 13+  2  2
Curve Equation t Generators 34138b1 [1,1,0,-3721,60741] 2 [1686:6637:27] 34138b2 [1,1,0,9799,414965] 2 [190:2935:1]
34138c (1 curve)	1	2+ 13+ 101+	2+ -2  1 -4 -4 13+ -3 -4
Curve Equation t Generators 34138c1 [1,0,1,-3303278,2331165384] 1 [86770:2369957:125]
34138d (3 curves)	0	2+ 13- 101+	2+ -1 -2 -2  0 13-  7  1
Curve Equation t 34138d1 [1,1,0,-43111,-3463351] 1 34138d2 [1,1,0,-17696,-7460864] 1 34138d3 [1,1,0,-1914981,1271481229] 1
34138e (1 curve)	1	2+ 13- 101-	2+ -3 -3 -5  2 13- -3  8
Curve Equation t Generators 34138e1 [1,-1,0,-961,-707537] 1 [127:1035:1]
34138f (1 curve)	2	2- 13+ 101+	2- -1  1 -3  0 13+ -3 -8
Curve Equation t Generators 34138f1 [1,1,1,-104530,13080543] 1 [177:-493:1]&[-402:34335:8]
34138g (1 curve)	0	2- 13+ 101+	2-  2  4 -3  0 13+ -3  1
Curve Equation t 34138g1 [1,1,1,-426,-19999] 1
34138h (2 curves)	0	2- 13+ 101+	2- -2  0  1  0 13+ -3  1
Curve Equation t 34138h1 [1,0,0,105537,-390599] 1 34138h2 [1,0,0,-1465318,-728039196] 1
34138i (1 curve)	1	2- 13+ 101-	2-  0 -2 -1 -4 13+  5 -1
Curve Equation t Generators 34138i1 [1,-1,1,644,-384705] 1 [309:5253:1]
34138j (3 curves)	1	2- 13- 101+	2- -1  2  2  0 13-  7 -1
Curve Equation t Generators 34138j1 [1,1,1,-7285847,-7572553071] 1 [203762493507380022157756013196125:-31972264028923238314332270864688188:8226460362029702141427734375] 34138j2 [1,1,1,-2990712,-16376564807] 1 [59360725:2543077917:15625] 34138j3 [1,1,1,-323631877,2795062419339] 1 [-2491605:145228332:125]
34138k (1 curve)	0	2- 13- 101-	2- -3  3  5 -2 13- -3 -8
Curve Equation t 34138k1 [1,-1,1,-6,-321] 1

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

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