Cremona's table of elliptic curves

51646 = 2 · 7² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
51646a (1 curve)	0	2+ 7+ 17- 31+	2+  1  2 7+  5  1 17- -8
Curve Equation t 51646a1 [1,0,1,2865,-1326] 1
51646b (1 curve)	0	2+ 7+ 17- 31+	2+  1 -4 7+ -4 -5 17-  4
Curve Equation t 51646b1 [1,0,1,-2269118,1356415792] 1
51646c (1 curve)	1	2+ 7+ 17- 31-	2+  0 -1 7+  0  0 17- -1
Curve Equation t Generators 51646c1 [1,-1,0,-10199555,12614770517] 1 [193295:2804038:125]
51646d (1 curve)	0	2+ 7- 17+ 31+	2+  0  1 7-  0  0 17+  1
Curve Equation t 51646d1 [1,-1,0,-208154,-36718284] 1
51646e (2 curves)	0	2+ 7- 17+ 31+	2+ -1  3 7-  0  4 17+  4
Curve Equation t 51646e1 [1,1,0,-79356,94944592] 1 51646e2 [1,1,0,-18417851,30416208733] 1
51646f (1 curve)	0	2+ 7- 17+ 31+	2+  3  1 7- -6 -6 17+  4
Curve Equation t 51646f1 [1,-1,0,971,797] 1
51646g (2 curves)	1	2+ 7- 17+ 31-	2+  0  0 7-  2  2 17+ -2
Curve Equation t Generators 51646g1 [1,-1,0,-541312,153272748] 2 [1283:38975:1] 51646g2 [1,-1,0,-682922,66918970] 2 [-3831:344450:27]
51646h (1 curve)	1	2+ 7- 17+ 31-	2+  1 -1 7- -6  2 17+  6
Curve Equation t Generators 51646h1 [1,0,1,-41039,-4243550] 1 [357172:26486545:64]
51646i (1 curve)	1	2+ 7- 17+ 31-	2+ -1  1 7- -4 -4 17+ -4
Curve Equation t Generators 51646i1 [1,1,0,53728,6450592] 1 [-99:466:1]
51646j (1 curve)	1	2+ 7- 17+ 31-	2+ -1 -2 7-  5 -1 17+  8
Curve Equation t Generators 51646j1 [1,1,0,59,29] 1 [14:55:1]
51646k (1 curve)	1	2+ 7- 17+ 31-	2+ -1  4 7- -4  5 17+ -4
Curve Equation t Generators 51646k1 [1,1,0,-111186758,-465361803500] 1 [34976199189773007343769979956447169585893964420819988333953887285:7018997932147644680155970154571339494318837576628155125848665563902:807975665965325281796700884432343541098527256071759059550875]
51646l (2 curves)	1	2+ 7- 17- 31+	2+  0  0 7-  2 -6 17-  2
Curve Equation t Generators 51646l1 [1,-1,0,-72382,-7172460] 2 [-131:286:1] 51646l2 [1,-1,0,-197822,24513684] 2 [-145:7153:1]
51646m (2 curves)	1	2+ 7- 17- 31+	2+  0 -4 7- -2  6 17-  2
Curve Equation t Generators 51646m1 [1,-1,0,-817084,55892304] 2 [-40:9428:1] 51646m2 [1,-1,0,-9880124,11937537744] 2 [1983:10842:1]
51646n (1 curve)	1	2+ 7- 17- 31+	2+ -1  1 7- -6 -2 17- -6
Curve Equation t Generators 51646n1 [1,1,0,-837,12013] 1 [13:-66:1]
51646o (1 curve)	0	2+ 7- 17- 31-	2+  1  1 7-  4  0 17- -8
Curve Equation t 51646o1 [1,0,1,-1398,-23376] 1
51646p (1 curve)	0	2+ 7- 17- 31-	2+  1 -1 7-  2 -2 17-  0
Curve Equation t 51646p1 [1,0,1,1851396521,-81747067645190] 1
51646q (1 curve)	2	2+ 7- 17- 31-	2+  1 -1 7-  2 -2 17-  0
Curve Equation t Generators 51646q1 [1,0,1,-25849,1607638] 1 [-178:848:1]&[116:358:1]
51646r (2 curves)	0	2+ 7- 17- 31-	2+  2 -2 7-  4  6 17- -2
Curve Equation t 51646r1 [1,1,0,-5856,-117760] 2 51646r2 [1,1,0,-37216,2660736] 2
51646s (1 curve)	0	2- 7+ 17+ 31+	2-  2 -1 7+ -2  6 17+ -1
Curve Equation t 51646s1 [1,1,1,-964566,417986267] 1
51646t (1 curve)	2	2- 7+ 17+ 31+	2- -2 -1 7+ -2 -6 17+  3
Curve Equation t Generators 51646t1 [1,0,0,244,-848] 1 [4:12:1]&[12:-68:1]
51646u (2 curves)	0	2- 7+ 17- 31-	2-  1  0 7+ -3 -1 17-  2
Curve Equation t 51646u1 [1,0,0,27047,-1047047] 3 51646u2 [1,0,0,-556053,-162145915] 1
51646v (1 curve)	0	2- 7+ 17- 31-	2-  3  0 7+  3  1 17- -8
Curve Equation t 51646v1 [1,-1,1,15,1201] 1
51646w (4 curves)	1	2- 7- 17+ 31+	2-  0 -2 7-  0 -6 17+  4
Curve Equation t Generators 51646w1 [1,-1,1,-818236,-284676353] 2 [-521:261:1] 51646w2 [1,-1,1,-833916,-273186049] 4 [1047:259:1] 51646w3 [1,-1,1,798764,-1213609729] 2 [16199865:9669401:19683] 51646w4 [1,-1,1,-2717476,1402428927] 2 [-201:44151:1]
51646x (2 curves)	1	2- 7- 17+ 31+	2- -1  0 7- -3  1 17+ -2
Curve Equation t Generators 51646x1 [1,1,1,552,3289] 1 [1:61:1] 51646x2 [1,1,1,-11348,467865] 1 [1492:29013:64]
51646y (1 curve)	1	2- 7- 17+ 31+	2- -3  0 7-  3 -1 17+  8
Curve Equation t Generators 51646y1 [1,-1,1,750,-413535] 1 [95:665:1]
51646z (1 curve)	0	2- 7- 17+ 31-	2-  1  3 7-  0  4 17+  8
Curve Equation t 51646z1 [1,0,0,-102264,-13641664] 1
51646ba (2 curves)	0	2- 7- 17+ 31-	2- -2  2 7-  2  0 17+  4
Curve Equation t 51646ba1 [1,0,0,2743,-609575] 2 51646ba2 [1,0,0,-93297,-10578527] 2
51646bb (2 curves)	2	2- 7- 17- 31+	2-  0  0 7- -4 -4 17- -4
Curve Equation t Generators 51646bb1 [1,-1,1,15,-12127] 2 [31:116:1]&[39:196:1] 51646bb2 [1,-1,1,-7825,-259871] 2 [-53:88:1]&[-47:72:1]
51646bc (1 curve)	0	2- 7- 17- 31+	2- -1  3 7-  2 -2 17- -6
Curve Equation t 51646bc1 [1,1,1,391,5193] 1
51646bd (1 curve)	2	2- 7- 17- 31+	2- -1 -3 7-  0 -4 17- -8
Curve Equation t Generators 51646bd1 [1,1,1,-2087,38877] 1 [27:42:1]&[-21:282:1]
51646be (2 curves)	0	2- 7- 17- 31+	2-  2  0 7-  2 -2 17-  0
Curve Equation t 51646be1 [1,1,1,-950993,335441455] 2 51646be2 [1,1,1,-2958033,-1551978961] 2
51646bf (1 curve)	0	2- 7- 17- 31+	2-  3  3 7-  2  6 17-  2
Curve Equation t 51646bf1 [1,-1,1,-10716,-5997281] 1
51646bg (1 curve)	2	2- 7- 17- 31+	2- -3 -3 7- -4 -4 17-  2
Curve Equation t Generators 51646bg1 [1,-1,1,-930054,345508629] 1 [597:1367:1]&[-831:23739:1]
51646bh (1 curve)	1	2- 7- 17- 31-	2- -1  1 7- -2 -6 17-  6
Curve Equation t Generators 51646bh1 [1,1,1,-58850,-5978001] 1 [1203:40215:1]
51646bi (1 curve)	1	2- 7- 17- 31-	2-  2  1 7- -2  6 17- -3
Curve Equation t Generators 51646bi1 [1,1,1,11955,302819] 1 [3:580:1]
51646bj (2 curves)	1	2- 7- 17- 31-	2-  2 -2 7- -2  0 17-  0
Curve Equation t Generators 51646bj1 [1,1,1,-136565794,621025531951] 2 [4921:258659:1] 51646bj2 [1,1,1,-2191774754,39494069884975] 2 [725187:-1668751:27]
51646bk (1 curve)	1	2- 7- 17- 31-	2- -2  1 7- -2 -6 17-  1
Curve Equation t Generators 51646bk1 [1,0,0,-19685,-1221431] 1 [316:-5071:1]
51646bl (2 curves)	1	2- 7- 17- 31-	2- -2  4 7- -2  6 17- -8
Curve Equation t Generators 51646bl1 [1,0,0,-817321,284336793] 2 [572:1729:1] 51646bl2 [1,0,0,-819281,282904033] 2 [312:7439:1]

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