Cremona's table of elliptic curves

27472 = 2⁴ · 17 · 101

Class	r	Atkin-Lehner	Eigenvalues
27472a (2 curves)	1	2+ 17+ 101+	2+  0  0  2  0  2 17+  0
Curve Equation t Generators 27472a1 [0,0,0,-275,1634] 2 [13:16:1] 27472a2 [0,0,0,-4315,109098] 2 [106:918:1]
27472b (2 curves)	1	2+ 17+ 101+	2+ -2  0  4  2 -6 17+  4
Curve Equation t Generators 27472b1 [0,1,0,-1368,-16604] 2 [-16:38:1] 27472b2 [0,1,0,2672,-92556] 2 [388:7714:1]
27472c (1 curve)	1	2+ 17+ 101+	2+  3 -2  3  5 -5 17+ -7
Curve Equation t Generators 27472c1 [0,0,0,-796,-8644] 1 [662283:1016423:19683]
27472d (1 curve)	1	2+ 17+ 101+	2+ -3 -2  0 -1  4 17+  5
Curve Equation t Generators 27472d1 [0,0,0,-811,8890] 1 [17:-4:1]
27472e (1 curve)	2	2+ 17+ 101-	2+ -1 -4 -1 -3 -5 17+  5
Curve Equation t Generators 27472e1 [0,-1,0,-65,-179] 1 [-4:1:1]&[12:25:1]
27472f (2 curves)	0	2+ 17- 101+	2+ -2 -2  2  6  6 17- -4
Curve Equation t 27472f1 [0,1,0,-39,76] 2 27472f2 [0,1,0,-124,-468] 2
27472g (2 curves)	0	2+ 17- 101+	2+ -2 -2 -2  2  2 17-  0
Curve Equation t 27472g1 [0,1,0,-459684,-119748068] 2 27472g2 [0,1,0,-255664,-226409724] 2
27472h (1 curve)	1	2+ 17- 101-	2+  1  0  1 -5  3 17-  1
Curve Equation t Generators 27472h1 [0,1,0,-153,-541] 1 [22:85:1]
27472i (1 curve)	0	2- 17+ 101+	2- -1  2 -4  5  4 17+ -7
Curve Equation t 27472i1 [0,-1,0,528,-4160] 1
27472j (2 curves)	1	2- 17+ 101-	2- -1  0 -5 -3 -1 17+ -5
Curve Equation t Generators 27472j1 [0,-1,0,-1493,18589] 1 [36:101:1] 27472j2 [0,-1,0,-114613,14973053] 1 [196:5:1]
27472k (1 curve)	1	2- 17- 101+	2-  1 -2  1  3 -5 17-  3
Curve Equation t Generators 27472k1 [0,1,0,-69,-205] 1 [22:97:1]
27472l (2 curves)	1	2- 17- 101+	2-  2  2  2  2 -2 17- -4
Curve Equation t Generators 27472l1 [0,-1,0,-36112,-2230848] 2 [35526:1274014:27] 27472l2 [0,-1,0,-553232,-158194240] 2 [13056330:-399620530:9261]
27472m (2 curves)	2	2- 17- 101-	2-  1 -4 -3  3 -1 17- -5
Curve Equation t Generators 27472m1 [0,1,0,-9605,-363661] 1 [-58:41:1]&[158:1445:1] 27472m2 [0,1,0,-447525,115075859] 1 [382:101:1]&[554:73505:8]
27472n (1 curve)	0	2- 17- 101-	2-  3  0  3  1 -5 17-  5
Curve Equation t 27472n1 [0,0,0,-40,92] 1

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