Cremona's table of elliptic curves

5382 = 2 · 3² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
5382a (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0  0  4 13- -2  0
Curve Equation t Generators 5382a1 [1,-1,0,-312,1088] 2 [32:136:1] 5382a2 [1,-1,0,-2472,-46000] 2 [-28:40:1]
5382b (2 curves)	0	2+ 3- 13+ 23+	2+ 3-  0 -2  0 13+  4 -2
Curve Equation t 5382b1 [1,-1,0,-8487,-388355] 2 5382b2 [1,-1,0,-146727,-21594371] 2
5382c (1 curve)	0	2+ 3- 13+ 23+	2+ 3-  1 -1  6 13+ -3 -4
Curve Equation t 5382c1 [1,-1,0,36,38992] 1
5382d (2 curves)	0	2+ 3- 13+ 23+	2+ 3-  4  2  0 13+  0  2
Curve Equation t 5382d1 [1,-1,0,405,-8267] 2 5382d2 [1,-1,0,-4455,-100607] 2
5382e (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -3  3 -2 13+  1 -4
Curve Equation t Generators 5382e1 [1,-1,0,-126,598] 1 [9:7:1]
5382f (4 curves)	0	2+ 3- 13- 23-	2+ 3-  0  2 -6 13-  6  2
Curve Equation t 5382f1 [1,-1,0,648,-139968] 2 5382f2 [1,-1,0,-36792,-2633472] 2 5382f3 [1,-1,0,-5832,3783024] 6 5382f4 [1,-1,0,-401292,97032492] 6
5382g (4 curves)	2	2+ 3- 13- 23-	2+ 3- -2 -4 -4 13- -6  0
Curve Equation t Generators 5382g1 [1,-1,0,297,11421] 2 [-15:66:1]&[-2:105:1] 5382g2 [1,-1,0,-6183,178605] 4 [-54:621:1]&[-38:617:1] 5382g3 [1,-1,0,-18603,-752895] 2 [-104:273:1]&[-78:507:1] 5382g4 [1,-1,0,-97443,11732121] 4 [-285:4179:1]&[-216:4869:1]
5382h (2 curves)	1	2- 3+ 13- 23+	2- 3+  0  0 -4 13-  2  0
Curve Equation t Generators 5382h1 [1,-1,1,-35,-29] 2 [-1:2:1] 5382h2 [1,-1,1,-275,1795] 2 [1:38:1]
5382i (2 curves)	0	2- 3- 13- 23+	2- 3-  0  0  2 13-  2 -6
Curve Equation t 5382i1 [1,-1,1,-1010,-12275] 2 5382i2 [1,-1,1,-16220,-791027] 2
5382j (4 curves)	0	2- 3- 13- 23+	2- 3-  0 -4  0 13-  0  2
Curve Equation t 5382j1 [1,-1,1,175,100541] 2 5382j2 [1,-1,1,-31415,2109665] 2 5382j3 [1,-1,1,-158180,24256199] 6 5382j4 [1,-1,1,-2530940,1550415431] 6
5382k (2 curves)	0	2- 3- 13- 23+	2- 3-  2  2  0 13-  6  0
Curve Equation t 5382k1 [1,-1,1,-44924,-3654849] 2 5382k2 [1,-1,1,-718844,-234405057] 2
5382l (2 curves)	0	2- 3- 13- 23+	2- 3- -2 -2  4 13- -2  4
Curve Equation t 5382l1 [1,-1,1,1579,22857] 2 5382l2 [1,-1,1,-8951,220821] 2
5382m (1 curve)	0	2- 3- 13- 23+	2- 3-  3  3  2 13- -1  6
Curve Equation t 5382m1 [1,-1,1,394,-13787] 1
5382n (2 curves)	1	2- 3- 13- 23-	2- 3-  0  2 -6 13- -6  2
Curve Equation t Generators 5382n1 [1,-1,1,-1400,20715] 2 [11:75:1] 5382n2 [1,-1,1,-22460,1301163] 2 [81:51:1]
5382o (2 curves)	1	2- 3- 13- 23-	2- 3-  0 -2 -2 13-  6 -6
Curve Equation t Generators 5382o1 [1,-1,1,-275,-11725] 2 [51:298:1] 5382o2 [1,-1,1,-9635,-359917] 2 [-59:52:1]
5382p (2 curves)	1	2- 3- 13- 23-	2- 3- -2 -2 -2 13-  4  4
Curve Equation t Generators 5382p1 [1,-1,1,-46391,4505487] 2 [-175:2778:1] 5382p2 [1,-1,1,-776471,263537871] 2 [501:48:1]

Data from Elliptic Curve Data by J. E. Cremona.
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