Cremona's table of elliptic curves

39715 = 5 · 13² · 47

Class	r	Atkin-Lehner	Eigenvalues
39715a (1 curve)	1	5+ 13+ 47+	1 -1 5+ -1  3 13+ -6  7
Curve Equation t Generators 39715a1 [1,1,0,-848,4633] 1 [-24:121:1]
39715b (1 curve)	1	5+ 13+ 47+	-2  2 5+ -2  4 13+ -8 -2
Curve Equation t Generators 39715b1 [0,-1,1,-186,1042] 1 [8:1:1]
39715c (2 curves)	0	5+ 13+ 47-	0  1 5+ -2  3 13+ -3  4
Curve Equation t 39715c1 [0,1,1,7549,209746] 1 39715c2 [0,1,1,-76951,-11480829] 1
39715d (1 curve)	2	5+ 13+ 47-	-2 -2 5+ -2 -2 13+ -6 -2
Curve Equation t Generators 39715d1 [0,1,1,-56,186] 1 [4:-7:1]&[-6:18:1]
39715e (1 curve)	2	5+ 13- 47+	0  1 5+  0 -1 13- -3 -4
Curve Equation t Generators 39715e1 [0,1,1,9,-74] 1 [26:1:8]&[4:6:1]
39715f (2 curves)	0	5+ 13- 47+	-1  2 5+  0  2 13- -6 -2
Curve Equation t 39715f1 [1,1,1,-3610266,-2641024066] 2 39715f2 [1,1,1,-4126561,-1837049492] 2
39715g (2 curves)	1	5+ 13- 47-	-1  0 5+  4 -4 13-  2  0
Curve Equation t Generators 39715g1 [1,-1,1,-643,-1894] 2 [-4:26:1] 39715g2 [1,-1,1,2412,-16558] 2 [607:14690:1]
39715h (1 curve)	0	5- 13+ 47+	1 -1 5- -1 -3 13+  6  1
Curve Equation t 39715h1 [1,1,0,-600122,-179187419] 1
39715i (1 curve)	0	5- 13+ 47+	2  1 5- -4 -1 13+ -3 -4
Curve Equation t 39715i1 [0,1,1,-268090,-54137781] 1
39715j (1 curve)	0	5- 13+ 47+	2 -2 5-  2  2 13+ -6  2
Curve Equation t 39715j1 [0,1,1,-9520,447191] 1
39715k (1 curve)	0	5- 13+ 47+	-2  2 5-  2  0 13+  0  4
Curve Equation t 39715k1 [0,-1,1,620,5306] 1
39715l (1 curve)	1	5- 13+ 47-	2  2 5-  2 -4 13+ -8  2
Curve Equation t Generators 39715l1 [0,-1,1,-31490,2163943] 1 [72008:360779:512]
39715m (2 curves)	1	5- 13- 47+	1  0 5- -4  4 13-  2  0
Curve Equation t Generators 39715m1 [1,-1,0,-108614,-4486377] 2 [-238:2919:1] 39715m2 [1,-1,0,407681,-35154300] 2 [792554:-28731277:2744]
39715n (1 curve)	0	5- 13- 47-	0  1 5-  0  1 13- -3  4
Curve Equation t 39715n1 [0,1,1,1465,-167969] 1
39715o (2 curves)	0	5- 13- 47-	1  2 5-  0 -2 13- -6  2
Curve Equation t 39715o1 [1,1,0,-21362,-1210321] 2 39715o2 [1,1,0,-24417,-845554] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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