Cremona's table of elliptic curves

50715 = 3² · 5 · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
50715a (2 curves)	0	3+ 5+ 7- 23+	1 3+ 5+ 7- -2  2  6 -4
Curve Equation t 50715a1 [1,-1,0,-4125,62096] 2 50715a2 [1,-1,0,12780,430625] 2
50715b (2 curves)	0	3+ 5+ 7- 23+	1 3+ 5+ 7-  4 -4 -6 -4
Curve Equation t 50715b1 [1,-1,0,-203310,34443191] 2 50715b2 [1,-1,0,48795,114057950] 2
50715c (1 curve)	0	3+ 5+ 7- 23+	-2 3+ 5+ 7-  1 -4  0 -1
Curve Equation t 50715c1 [0,0,1,-67691883,222050866574] 1
50715d (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7- -1  0  4  3
Curve Equation t Generators 50715d1 [0,0,1,-4263,-110532] 1 [161:-1838:1]
50715e (1 curve)	1	3+ 5- 7- 23+	2 3+ 5- 7-  1  0 -4  3
Curve Equation t Generators 50715e1 [0,0,1,-38367,2984357] 1 [546:6611:8]
50715f (2 curves)	0	3+ 5- 7- 23-	-1 3+ 5- 7-  2  2 -6 -4
Curve Equation t 50715f1 [1,-1,1,-37127,-1639466] 2 50715f2 [1,-1,1,115018,-11741894] 2
50715g (2 curves)	0	3+ 5- 7- 23-	-1 3+ 5- 7- -4 -4  6 -4
Curve Equation t 50715g1 [1,-1,1,-1829792,-928136366] 2 50715g2 [1,-1,1,439153,-3080003804] 2
50715h (1 curve)	0	3+ 5- 7- 23-	2 3+ 5- 7- -1 -4  0 -1
Curve Equation t 50715h1 [0,0,1,-609226947,-5995373397505] 1
50715i (1 curve)	0	3- 5+ 7+ 23+	0 3- 5+ 7+ -4  0 -2  0
Curve Equation t 50715i1 [0,0,1,-115248,15134103] 1
50715j (1 curve)	1	3- 5+ 7+ 23-	-2 3- 5+ 7+ -6 -7  0 -7
Curve Equation t Generators 50715j1 [0,0,1,-2084658303,-37609341061896] 1 [233199:110263437:1]
50715k (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7- -1  0  2  3
Curve Equation t Generators 50715k1 [0,0,1,12863382,-39956099927] 1 [79131749:4623377243:24389]
50715l (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  3  0 -2 -7
Curve Equation t Generators 50715l1 [0,0,1,-43505238,136352087793] 1 [6671:378157:1]
50715m (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  4  0 -3  8
Curve Equation t Generators 50715m1 [0,0,1,-588,15349] 1 [1:121:1]
50715n (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7- -4  0  5  0
Curve Equation t Generators 50715n1 [0,0,1,-322518,-70499277] 1 [116588858339:1280660076166:163667323]
50715o (2 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7- -2 -4 -6  8
Curve Equation t Generators 50715o1 [1,-1,0,-71745,-7376104] 2 [789724:7581946:2197] 50715o2 [1,-1,0,-60720,-9728839] 2 [1192:39535:1]
50715p (4 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7-  4  2  6 -4
Curve Equation t Generators 50715p1 [1,-1,0,1020,21826475] 2 [2830:63755:8] 50715p2 [1,-1,0,-1165425,476506736] 4 [-55340:1879429:64] 50715p3 [1,-1,0,-2433300,-743949739] 2 [-144545180:-3568131533:140608] 50715p4 [1,-1,0,-18560670,30782502575] 2 [300385144930:-109051233715:120553784]
50715q (4 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7- -4 -2 -2  0
Curve Equation t Generators 50715q1 [1,-1,0,-101880,3315451] 2 [2:1763:1] 50715q2 [1,-1,0,-1268325,549445000] 4 [-472:32528:1] 50715q3 [1,-1,0,-913320,863340421] 2 [-26092:2200127:64] 50715q4 [1,-1,0,-20286450,35173843375] 2 [32974:1158427:8]
50715r (2 curves)	1	3- 5+ 7- 23+	-1 3- 5+ 7-  0 -4  2  8
Curve Equation t Generators 50715r1 [1,-1,1,337,13542] 2 [-12:93:1] 50715r2 [1,-1,1,-6908,210606] 2 [23:240:1]
50715s (4 curves)	1	3- 5+ 7- 23+	-1 3- 5+ 7-  4 -2  6  4
Curve Equation t Generators 50715s1 [1,-1,1,-10373,32316] 2 [-22:510:1] 50715s2 [1,-1,1,-118418,15677232] 4 [-52:4683:1] 50715s3 [1,-1,1,-72113,28031406] 2 [-250:5637:1] 50715s4 [1,-1,1,-1893443,1003301142] 2 [977:8745:1]
50715t (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  3  2 -4  5
Curve Equation t Generators 50715t1 [0,0,1,-99813,30298819] 1 [242:41801:8]
50715u (1 curve)	1	3- 5+ 7- 23+	-2 3- 5+ 7-  1 -7  3  8
Curve Equation t Generators 50715u1 [0,0,1,-5733,456104] 1 [28:-564:1]
50715v (1 curve)	1	3- 5+ 7- 23+	-2 3- 5+ 7- -2  2  3  2
Curve Equation t Generators 50715v1 [0,0,1,3087,-99556] 1 [51:436:1]
50715w (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7-  0 -4  6  0
Curve Equation t 50715w1 [0,0,1,316932,1112585584] 1
50715x (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7- -2 -4 -3 -2
Curve Equation t 50715x1 [0,0,1,100842,55542933] 1
50715y (2 curves)	2	3- 5+ 7- 23-	0 3- 5+ 7- -3  4 -6  1
Curve Equation t Generators 50715y1 [0,0,1,-9408,1086538] 1 [56:-858:1]&[-238:9257:8] 50715y2 [0,0,1,83202,-26594591] 1 [301:5071:1]&[1129:38812:1]
50715z (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7-  6 -4 -3  6
Curve Equation t 50715z1 [0,0,1,672,-2921] 1
50715ba (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7-  4  2  6 -8
Curve Equation t 50715ba1 [1,-1,0,3960,-7925] 2 50715ba2 [1,-1,0,-15885,-51584] 4 50715ba3 [1,-1,0,-168030,26452075] 2 50715ba4 [1,-1,0,-181260,-29587559] 2
50715bb (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7- -4  6 -2  0
Curve Equation t 50715bb1 [1,-1,0,-35730,-2288385] 2 50715bb2 [1,-1,0,-143775,18650736] 4 50715bb3 [1,-1,0,211230,95970825] 2 50715bb4 [1,-1,0,-2227500,1280137851] 2
50715bc (2 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7-  6 -2  2  4
Curve Equation t 50715bc1 [1,-1,0,-135,216] 2 50715bc2 [1,-1,0,-1710,27621] 2
50715bd (4 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7- -4 -6 -2  4
Curve Equation t 50715bd1 [1,-1,1,201307,21835356] 2 50715bd2 [1,-1,1,-965138,190736592] 4 50715bd3 [1,-1,1,-7304513,-7464692658] 2 50715bd4 [1,-1,1,-13288883,18641847606] 2
50715be (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  2  0 -2  6
Curve Equation t 50715be1 [0,0,1,-7203,331938] 1
50715bf (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  3  1  5 -2
Curve Equation t 50715bf1 [0,0,1,702807,-90123336] 1
50715bg (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7- -3 -2 -4  1
Curve Equation t 50715bg1 [0,0,1,-11614323,-15234877422] 1
50715bh (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  5 -3 -5  0
Curve Equation t 50715bh1 [0,0,1,10144617,22232597238] 1
50715bi (1 curve)	0	3- 5- 7+ 23-	0 3- 5- 7+  0  4 -6  0
Curve Equation t 50715bi1 [0,0,1,6468,-3243690] 1
50715bj (1 curve)	0	3- 5- 7+ 23-	0 3- 5- 7+ -2  4  3  2
Curve Equation t 50715bj1 [0,0,1,2058,-161933] 1
50715bk (1 curve)	0	3- 5- 7+ 23-	0 3- 5- 7+  6  4  3 -6
Curve Equation t 50715bk1 [0,0,1,32928,1001817] 1
50715bl (1 curve)	0	3- 5- 7+ 23-	-2 3- 5- 7+  2  0  2 -6
Curve Equation t 50715bl1 [0,0,1,-147,-968] 1
50715bm (1 curve)	0	3- 5- 7- 23+	0 3- 5- 7- -4  0  2  0
Curve Equation t 50715bm1 [0,0,1,-2352,-44123] 1
50715bn (2 curves)	0	3- 5- 7- 23+	1 3- 5- 7-  2  4 -2  0
Curve Equation t 50715bn1 [1,-1,0,-101439,-10660280] 2 50715bn2 [1,-1,0,174186,-58674155] 2
50715bo (2 curves)	0	3- 5- 7- 23+	-1 3- 5- 7-  0  4 -2 -8
Curve Equation t 50715bo1 [1,-1,1,16528,-4678054] 2 50715bo2 [1,-1,1,-338477,-71560996] 2
50715bp (1 curve)	0	3- 5- 7- 23+	2 3- 5- 7-  3 -2  4 -5
Curve Equation t 50715bp1 [0,0,1,-2037,-88335] 1
50715bq (4 curves)	1	3- 5- 7- 23-	1 3- 5- 7-  0 -2 -6  4
Curve Equation t Generators 50715bq1 [1,-1,0,-123489,16685248] 2 [-2714:36637:8] 50715bq2 [1,-1,0,-178614,357223] 4 [-2874:35437:8] 50715bq3 [1,-1,0,714411,2321878] 2 [1514:66716:1] 50715bq4 [1,-1,0,-1953639,-1047262532] 2 [-101707050:-171400123:125000]
50715br (2 curves)	1	3- 5- 7- 23-	1 3- 5- 7-  6  2 -2 -4
Curve Equation t Generators 50715br1 [1,-1,0,-6624,-60845] 2 [-6342:83651:343] 50715br2 [1,-1,0,-83799,-9306410] 2 [-1868077344:2025049193:11239424]
50715bs (2 curves)	1	3- 5- 7- 23-	-1 3- 5- 7-  2  0 -2  4
Curve Equation t Generators 50715bs1 [1,-1,1,-633947,-193553454] 2 [-444:714:1] 50715bs2 [1,-1,1,-358322,-363117954] 2 [926:9459:1]
50715bt (1 curve)	1	3- 5- 7- 23-	2 3- 5- 7-  2  6  1 -2
Curve Equation t Generators 50715bt1 [0,0,1,-44247,4071667] 1 [3266:58811:8]
50715bu (1 curve)	1	3- 5- 7- 23-	-2 3- 5- 7- -2  2  5  2
Curve Equation t Generators 50715bu1 [0,0,1,13083,-804078] 1 [95:1138:1]
50715bv (1 curve)	1	3- 5- 7- 23-	-2 3- 5- 7-  3 -1 -5  2
Curve Equation t Generators 50715bv1 [0,0,1,14343,262750] 1 [-7:402:1]
50715bw (1 curve)	1	3- 5- 7- 23-	-2 3- 5- 7- -3  2  4 -1
Curve Equation t Generators 50715bw1 [0,0,1,-237027,44416552] 1 [280:31:1]
50715bx (1 curve)	1	3- 5- 7- 23-	-2 3- 5- 7- -6  7  0  7
Curve Equation t Generators 50715bx1 [0,0,1,-42544047,109648224670] 1 [53593:12319087:1]

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