Cremona's table of elliptic curves

16317 = 3² · 7² · 37

Class	r	Atkin-Lehner	Eigenvalues
16317a (2 curves)	0	3+ 7- 37+	1 3+  2 7-  4  2  6  6
Curve Equation t 16317a1 [1,-1,0,579,-13168] 2 16317a2 [1,-1,0,-6036,-157375] 2
16317b (2 curves)	2	3+ 7- 37+	-1 3+ -2 7- -4  2 -6  6
Curve Equation t Generators 16317b1 [1,-1,1,64,466] 2 [-4:13:1]&[2:23:1] 16317b2 [1,-1,1,-671,6052] 2 [-26:86:1]&[-17:119:1]
16317c (1 curve)	1	3- 7- 37+	0 3- -1 7-  1  5 -2  4
Curve Equation t Generators 16317c1 [0,0,1,3822,3161002] 1 [238:4189:1]
16317d (1 curve)	1	3- 7- 37+	0 3-  3 7-  1  1 -2 -4
Curve Equation t Generators 16317d1 [0,0,1,-74676,-7854786] 1 [119042:41072314:1]
16317e (2 curves)	1	3- 7- 37+	-1 3-  4 7- -4 -4  0  6
Curve Equation t Generators 16317e1 [1,-1,1,-2288,-307646] 2 [138108:9807250:27] 16317e2 [1,-1,1,-83873,-9281996] 2 [-176:155:1]
16317f (1 curve)	1	3- 7- 37+	2 3- -2 7-  5  2  0  0
Curve Equation t Generators 16317f1 [0,0,1,-441,2315] 1 [-2010:16075:216]
16317g (3 curves)	0	3- 7- 37-	0 3-  0 7- -3  4  6 -2
Curve Equation t 16317g1 [0,0,1,-1470,21523] 1 16317g2 [0,0,1,-10290,-389048] 1 16317g3 [0,0,1,-826140,-289020461] 1
16317h (4 curves)	2	3- 7- 37-	1 3- -2 7-  0 -2 -6 -4
Curve Equation t Generators 16317h1 [1,-1,0,-6183,298080] 2 [-32:696:1]&[156:1686:1] 16317h2 [1,-1,0,-114228,14884155] 4 [-138:5361:1]&[186:123:1] 16317h3 [1,-1,0,-129663,10614834] 2 [-390:1518:1]&[58:1784:1] 16317h4 [1,-1,0,-1827513,951365736] 2 [60:28986:1]&[744:1392:1]
16317i (4 curves)	0	3- 7- 37-	-1 3- -2 7-  0  2  2  4
Curve Equation t 16317i1 [1,-1,1,-578381,-169159980] 2 16317i2 [1,-1,1,-580586,-167803464] 4 16317i3 [1,-1,1,-1151681,217114566] 2 16317i4 [1,-1,1,-44771,-465930930] 2
16317j (4 curves)	2	3- 7- 37-	-1 3- -2 7- -4 -2  2 -4
Curve Equation t Generators 16317j1 [1,-1,1,-7286,240860] 4 [-96:268:1]&[3:466:1] 16317j2 [1,-1,1,-9491,84746] 4 [-99:265:1]&[-54:688:1] 16317j3 [1,-1,1,-91076,-10488670] 2 [-180:310:1]&[-165:244:1] 16317j4 [1,-1,1,36814,640406] 2 [66:1798:1]&[93:2158:1]
16317k (2 curves)	0	3- 7- 37-	-1 3-  4 7- -2 -2  4  4
Curve Equation t 16317k1 [1,-1,1,-8168,-268446] 2 16317k2 [1,-1,1,-23603,1058964] 2
16317l (2 curves)	2	3- 7- 37-	-1 3- -4 7- -2  2 -4 -4
Curve Equation t Generators 16317l1 [1,-1,1,-167,830] 2 [-12:37:1]&[-3:37:1] 16317l2 [1,-1,1,-482,-2950] 2 [-15:34:1]&[-12:37:1]
16317m (1 curve)	0	3- 7- 37-	2 3-  1 7- -1  1  2 -4
Curve Equation t 16317m1 [0,0,1,-1116590097,14362598335419] 1
16317n (1 curve)	0	3- 7- 37-	2 3-  1 7-  3  5  2  4
Curve Equation t 16317n1 [0,0,1,-147,21523] 1

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