Cremona's table of elliptic curves

71225 = 5² · 7 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
71225a (4 curves)	1	5+ 7+ 11+ 37+	1  0 5+ 7+ 11+  2  6 -8
Curve Equation t Generators 71225a1 [1,-1,0,-6692,66091] 2 [-57442:724313:1331] 71225a2 [1,-1,0,-84817,9519216] 4 [-160:4436:1] 71225a3 [1,-1,0,-62942,14528591] 2 [-854370:26890127:5832] 71225a4 [1,-1,0,-1356692,608572341] 2 [82260:1969461:64]
71225b (4 curves)	1	5+ 7+ 11+ 37+	-1  0 5+ 7+ 11+  2 -2 -4
Curve Equation t Generators 71225b1 [1,-1,1,-37105,-2741728] 2 [6078:11110:27] 71225b2 [1,-1,1,-37230,-2722228] 4 [-110:236:1] 71225b3 [1,-1,1,-4855,-7319478] 2 [16455:388397:27] 71225b4 [1,-1,1,-71605,3121522] 2 [304:2910:1]
71225c (2 curves)	0	5+ 7+ 11+ 37-	1 -2 5+ 7+ 11+ -4 -4  0
Curve Equation t 71225c1 [1,0,1,-1337101,-602723277] 2 71225c2 [1,0,1,-21468476,-38288657277] 2
71225d (2 curves)	1	5+ 7+ 11- 37-	1  0 5+ 7+ 11-  4  0  6
Curve Equation t Generators 71225d1 [1,-1,0,133,6416] 2 [128:1388:1] 71225d2 [1,-1,0,-4492,112791] 2 [30:51:1]
71225e (2 curves)	1	5+ 7+ 11- 37-	-1 -2 5+ 7+ 11-  2  2 -4
Curve Equation t Generators 71225e1 [1,0,0,-231438,-42874133] 2 [947:23764:1] 71225e2 [1,0,0,-232813,-42339258] 2 [787:15794:1]
71225f (2 curves)	0	5+ 7- 11- 37-	-1  2 5+ 7- 11- -4  4 -4
Curve Equation t 71225f1 [1,1,1,-15072838,-23094439094] 2 71225f2 [1,1,1,-242840213,-1456662297344] 2
71225g (2 curves)	2	5+ 7- 11- 37-	-1 -2 5+ 7- 11- -2 -2 -4
Curve Equation t Generators 71225g1 [1,0,0,-15813,68992] 2 [-117:625:1]&[147:889:1] 71225g2 [1,0,0,-182188,29850117] 2 [-3554:40277:8]&[191:-1520:1]
71225h (2 curves)	0	5+ 7- 11- 37-	-1 -2 5+ 7- 11-  4  4  8
Curve Equation t 71225h1 [1,0,0,-20786144938,-1153745732828133] 2 71225h2 [1,0,0,-332599681313,-73829685723431258] 2

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