Cremona's table of elliptic curves

47150 = 2 · 5² · 23 · 41

Class	r	Atkin-Lehner	Eigenvalues
47150a (2 curves)	1	2+ 5+ 23+ 41+	2+  0 5+  0  2 -4  0  2
Curve Equation t Generators 47150a1 [1,-1,0,-917,-5759] 2 [-21:73:1] 47150a2 [1,-1,0,-6667,206991] 2 [63:153:1]
47150b (2 curves)	0	2+ 5+ 23- 41+	2+ -1 5+  4  0  7  6  5
Curve Equation t 47150b1 [1,1,0,26725,-171875] 1 47150b2 [1,1,0,-389275,-98699875] 1
47150c (4 curves)	0	2+ 5+ 23- 41+	2+  2 5+ -2  0  4  0 -4
Curve Equation t 47150c1 [1,1,0,-332125,73528125] 2 47150c2 [1,1,0,-309125,84177125] 2 47150c3 [1,1,0,-694625,-113209375] 2 47150c4 [1,1,0,2347125,-834104125] 2
47150d (4 curves)	1	2+ 5+ 23- 41-	2+  0 5+  0  4  2  2 -4
Curve Equation t Generators 47150d1 [1,-1,0,358,-1484] 2 [471:2443:27] 47150d2 [1,-1,0,-1642,-11484] 4 [85:634:1] 47150d3 [1,-1,0,-13142,575016] 2 [83:184:1] 47150d4 [1,-1,0,-22142,-1261984] 2 [-86:68:1]
47150e (2 curves)	1	2+ 5- 23+ 41-	2+ -2 5- -1  0 -1 -6  8
Curve Equation t Generators 47150e1 [1,0,1,-10701,425648] 3 [-112:527:1] 47150e2 [1,0,1,14924,2002098] 1 [-5068:39003:64]
47150f (1 curve)	1	2+ 5- 23+ 41-	2+  3 5-  0  0 -1  0  1
Curve Equation t Generators 47150f1 [1,-1,0,134633,-46541959] 1 [1119332952:-267490909351:19683]
47150g (2 curves)	2	2- 5+ 23+ 41+	2- -2 5+  0 -6  0 -2 -6
Curve Equation t Generators 47150g1 [1,0,0,-117963,-10717583] 2 [-258:1729:1]&[-194:2305:1] 47150g2 [1,0,0,-1717963,-866717583] 2 [-758:729:1]&[-754:705:1]
47150h (2 curves)	2	2- 5+ 23+ 41+	2- -2 5+ -4 -2  0 -6 -2
Curve Equation t Generators 47150h1 [1,0,0,-11363,465217] 2 [58:17:1]&[-98:849:1] 47150h2 [1,0,0,-12363,378217] 2 [132:959:1]&[-666:7631:8]
47150i (2 curves)	1	2- 5+ 23+ 41-	2-  0 5+ -2  2  2 -4 -2
Curve Equation t Generators 47150i1 [1,-1,1,-32830,2222797] 2 [43:-965:1] 47150i2 [1,-1,1,13170,7926797] 2 [243:-5165:1]
47150j (2 curves)	1	2- 5+ 23+ 41-	2- -2 5+  0  0  2  0  0
Curve Equation t Generators 47150j1 [1,0,0,-788,-7808] 2 [-18:34:1] 47150j2 [1,0,0,-12288,-525308] 2 [-64:34:1]
47150k (1 curve)	1	2- 5+ 23- 41+	2- -1 5+  0  0 -5  2  5
Curve Equation t Generators 47150k1 [1,1,1,-88,-1719] 1 [15:17:1]
47150l (2 curves)	0	2- 5+ 23- 41-	2-  0 5+  2  6  2  4 -6
Curve Equation t 47150l1 [1,-1,1,2561145,-2295860353] 2 47150l2 [1,-1,1,-18430855,-24001588353] 2
47150m (2 curves)	0	2- 5+ 23- 41-	2-  2 5+  1  0  1  6  8
Curve Equation t 47150m1 [1,1,1,-267513,53206031] 1 47150m2 [1,1,1,373112,250262281] 1
47150n (4 curves)	0	2- 5+ 23- 41-	2-  2 5+ -2 -6 -2  6  2
Curve Equation t 47150n1 [1,1,1,-83813,2157031] 2 47150n2 [1,1,1,-802563,-275280469] 2 47150n3 [1,1,1,-4055688,-3145361719] 2 47150n4 [1,1,1,-64890688,-201224121719] 2
47150o (2 curves)	0	2- 5+ 23- 41-	2-  2 5+  4  0  2  4  4
Curve Equation t 47150o1 [1,1,1,-9963,-359719] 2 47150o2 [1,1,1,10037,-1599719] 2
47150p (2 curves)	2	2- 5+ 23- 41-	2- -2 5+ -4 -4  2  0 -4
Curve Equation t Generators 47150p1 [1,0,0,-112563,539617] 2 [-318:2209:1]&[-292:3067:1] 47150p2 [1,0,0,-1262563,544489617] 2 [768:-5673:1]&[5606:13147:8]
47150q (2 curves)	2	2- 5+ 23- 41-	2- -2 5+ -4 -4 -6  0  4
Curve Equation t Generators 47150q1 [1,0,0,-12288,520192] 2 [2064:-5632:27]&[-82:1030:1] 47150q2 [1,0,0,-196288,33456192] 2 [256:-120:1]&[262:44:1]
47150r (1 curve)	1	2- 5- 23- 41-	2- -3 5-  0  0  1  0  1
Curve Equation t Generators 47150r1 [1,-1,1,5385,-373413] 1 [479:10340:1]

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