Cremona's table of elliptic curves

71175 = 3 · 5² · 13 · 73

Class	r	Atkin-Lehner	Eigenvalues
71175a (2 curves)	1	3+ 5+ 13+ 73+	0 3+ 5+  1 -3 13+ -3 -4
Curve Equation t Generators 71175a1 [0,-1,1,-9883,1257168] 1 [282:4562:1] 71175a2 [0,-1,1,87617,-31137207] 1 [364617:4862047:1331]
71175b (2 curves)	0	3+ 5+ 13+ 73-	1 3+ 5+  2  0 13+  0  0
Curve Equation t 71175b1 [1,1,0,-8450,-254625] 2 71175b2 [1,1,0,-38825,2691750] 2
71175c (1 curve)	0	3+ 5+ 13+ 73-	-2 3+ 5+ -1  3 13+  3  6
Curve Equation t 71175c1 [0,-1,1,-20334269008,1338349454030418] 1
71175d (1 curve)	2	3+ 5+ 13+ 73-	-2 3+ 5+ -1  3 13+ -5  6
Curve Equation t Generators 71175d1 [0,-1,1,-27758,4412918] 1 [-218:237:1]&[61:1715:1]
71175e (1 curve)	1	3+ 5- 13+ 73-	0 3+ 5- -3  5 13+  1 -2
Curve Equation t Generators 71175e1 [0,-1,1,-313,2253] 1 [3:36:1]
71175f (1 curve)	1	3+ 5- 13- 73+	1 3+ 5-  3  0 13-  2  2
Curve Equation t Generators 71175f1 [1,1,0,-30450,2343375] 1 [1210:41095:1]
71175g (2 curves)	1	3+ 5- 13- 73+	-1 3+ 5- -4  4 13-  2 -2
Curve Equation t Generators 71175g1 [1,1,1,-21638,-1137094] 2 [-66:127:1] 71175g2 [1,1,1,23987,-5243344] 2 [9059:857877:1]
71175h (1 curve)	1	3- 5+ 13+ 73-	0 3- 5+  3 -1 13+ -3  2
Curve Equation t Generators 71175h1 [0,1,1,195467,602497969] 1 [23:-24638:1]
71175i (1 curve)	1	3- 5+ 13+ 73-	-1 3- 5+ -3  0 13+ -2  2
Curve Equation t Generators 71175i1 [1,0,0,-1218,18747] 1 [33:-138:1]
71175j (1 curve)	1	3- 5+ 13+ 73-	2 3- 5+  3 -3 13+  1  2
Curve Equation t Generators 71175j1 [0,1,1,-2077908,-1192503031] 1 [79194:7790921:8]
71175k (1 curve)	1	3- 5+ 13- 73+	0 3- 5+  1 -3 13-  5  2
Curve Equation t Generators 71175k1 [0,1,1,-1273883,-1024884481] 1 [3156263:-128320978:1331]
71175l (1 curve)	1	3- 5+ 13- 73+	0 3- 5+  1  5 13-  1  2
Curve Equation t Generators 71175l1 [0,1,1,617,-1481] 1 [111:899:27]
71175m (1 curve)	0	3- 5+ 13- 73-	1 3- 5+  0  2 13-  4 -2
Curve Equation t 71175m1 [1,0,1,-15501,-1008977] 1
71175n (4 curves)	0	3- 5+ 13- 73-	1 3- 5+  0 -4 13- -2  4
Curve Equation t 71175n1 [1,0,1,3724,50573] 2 71175n2 [1,0,1,-17401,430823] 4 71175n3 [1,0,1,-136026,-19023677] 2 71175n4 [1,0,1,-236776,44305823] 2
71175o (2 curves)	2	3- 5+ 13- 73-	1 3- 5+ -4 -2 13- -4 -4
Curve Equation t Generators 71175o1 [1,0,1,-6201,-187577] 2 [-47:47:1]&[-362:411:8] 71175o2 [1,0,1,-2826,-390077] 2 [974:7801:8]&[167:1866:1]
71175p (1 curve)	0	3- 5+ 13- 73-	-1 3- 5+ -4  6 13-  8 -2
Curve Equation t 71175p1 [1,0,0,-33813,-3407508] 1
71175q (1 curve)	2	3- 5+ 13- 73-	-2 3- 5+ -1 -5 13- -7 -4
Curve Equation t Generators 71175q1 [0,1,1,-1972508,1067740394] 1 [982:8869:1]&[793:-1688:1]
71175r (2 curves)	0	3- 5- 13+ 73-	1 3- 5-  4  4 13+ -2 -2
Curve Equation t 71175r1 [1,0,1,-866,-9097] 2 71175r2 [1,0,1,959,-41947] 2
71175s (1 curve)	0	3- 5- 13- 73+	0 3- 5-  3  5 13- -1 -2
Curve Equation t 71175s1 [0,1,1,-7833,265994] 1

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