Cremona's table of elliptic curves

39688 = 2³ · 11² · 41

Class	r	Atkin-Lehner	Eigenvalues
39688a (1 curve)	0	2+ 11+ 41-	2+ -1  1  2 11+  2  4  4
Curve Equation t 39688a1 [0,-1,0,-51465,-4730867] 1
39688b (1 curve)	2	2+ 11+ 41-	2+ -2  1 -1 11+  2 -7  1
Curve Equation t Generators 39688b1 [0,1,0,-95,1846] 1 [-15:11:1]&[-11:41:1]
39688c (1 curve)	1	2+ 11- 41-	2+  0 -2  0 11-  1  4  6
Curve Equation t Generators 39688c1 [0,0,0,-1331,204974] 1 [242:3509:8]
39688d (1 curve)	2	2- 11+ 41+	2- -1  1 -2 11+ -2 -4 -4
Curve Equation t Generators 39688d1 [0,-1,0,-425,3709] 1 [-9:82:1]&[15:22:1]
39688e (1 curve)	0	2- 11+ 41+	2- -2  1  1 11+ -2  7 -1
Curve Equation t 39688e1 [0,1,0,-11535,-2503118] 1
39688f (1 curve)	1	2- 11- 41+	2-  0  1  3 11-  2 -1 -3
Curve Equation t Generators 39688f1 [0,0,0,-5687,2638042] 1 [-143:726:1]
39688g (1 curve)	1	2- 11- 41+	2-  0 -2  0 11- -1 -4 -6
Curve Equation t Generators 39688g1 [0,0,0,-11,-154] 1 [50:37:8]
39688h (2 curves)	1	2- 11- 41+	2-  2  2  2 11- -6  6  2
Curve Equation t Generators 39688h1 [0,-1,0,-1492,-20700] 2 [-18324:12410:729] 39688h2 [0,-1,0,928,-83620] 2 [152901774:640503460:3581577]
39688i (1 curve)	0	2- 11- 41-	2-  0  1 -1 11- -2  5 -7
Curve Equation t 39688i1 [0,0,0,-51062,-4441547] 1
39688j (2 curves)	0	2- 11- 41-	2-  0 -2  2 11-  4  2 -4
Curve Equation t 39688j1 [0,0,0,-1331,13310] 2 39688j2 [0,0,0,3509,87846] 2
39688k (1 curve)	0	2- 11- 41-	2-  2 -1 -1 11-  6  3 -5
Curve Equation t 39688k1 [0,-1,0,-1976,55772] 1
39688l (1 curve)	0	2- 11- 41-	2-  3  1 -4 11- -2  2 -4
Curve Equation t 39688l1 [0,0,0,-2227852,1279905572] 1

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

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