Cremona's table of elliptic curves

38688 = 2⁵ · 3 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
38688a (1 curve)	0	2+ 3+ 13- 31+	2+ 3+  0  1 -4 13-  1  2
Curve Equation t 38688a1 [0,-1,0,-2288,-43416] 1
38688b (4 curves)	1	2+ 3- 13+ 31-	2+ 3-  2  0  0 13+  2  4
Curve Equation t Generators 38688b1 [0,1,0,-242,-480] 4 [310:5460:1] 38688b2 [0,1,0,928,-2820] 2 [2474:43785:8] 38688b3 [0,1,0,-2257,40223] 2 [2:189:1] 38688b4 [0,1,0,-3032,-65208] 2 [106981:1860690:343]
38688c (4 curves)	0	2- 3+ 13+ 31+	2- 3+  2  0  0 13+  2 -4
Curve Equation t 38688c1 [0,-1,0,-242,480] 4 38688c2 [0,-1,0,928,2820] 2 38688c3 [0,-1,0,-2257,-40223] 2 38688c4 [0,-1,0,-3032,65208] 2
38688d (2 curves)	1	2- 3+ 13- 31+	2- 3+ -4  0  2 13-  0  4
Curve Equation t Generators 38688d1 [0,-1,0,-130,676] 2 [0:26:1] 38688d2 [0,-1,0,-2145,38961] 2 [24:27:1]
38688e (1 curve)	1	2- 3- 13- 31-	2- 3-  0 -1  4 13-  1 -2
Curve Equation t Generators 38688e1 [0,1,0,-2288,43416] 1 [34:-78:1]
38688f (2 curves)	1	2- 3- 13- 31-	2- 3- -4  0 -2 13-  0 -4
Curve Equation t Generators 38688f1 [0,1,0,-130,-676] 2 [130:1482:1] 38688f2 [0,1,0,-2145,-38961] 2 [3603:38836:27]

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

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