Cremona's table of elliptic curves

5635 = 5 · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
5635a (1 curve)	1	5+ 7+ 23+	2  2 5+ 7+ -2  0 -2 -6
Curve Equation t Generators 5635a1 [0,-1,1,-16,41] 1 [42:65:8]
5635b (2 curves)	0	5+ 7- 23+	-1  2 5+ 7- -6  2  2 -4
Curve Equation t 5635b1 [1,1,1,-736,2008] 2 5635b2 [1,1,1,-9311,341578] 2
5635c (1 curve)	0	5+ 7- 23+	2 -1 5+ 7- -3 -1  5  2
Curve Equation t 5635c1 [0,-1,1,1594,-10263] 1
5635d (2 curves)	1	5+ 7- 23-	1 -2 5+ 7-  0  4  2 -8
Curve Equation t Generators 5635d1 [1,0,1,1836,173261] 2 [54:3419:8] 5635d2 [1,0,1,-37609,2650407] 2 [-6604:152475:64]
5635e (2 curves)	1	5- 7- 23+	-1 -2 5- 7- -6 -2 -2  4
Curve Equation t Generators 5635e1 [1,0,0,-15,-8] 2 [-3:5:1] 5635e2 [1,0,0,-190,-1023] 2 [-8:5:1]
5635f (1 curve)	1	5- 7- 23+	2  1 5- 7- -3  1 -5 -2
Curve Equation t Generators 5635f1 [0,1,1,78090,3363931] 1 [18650:907231:8]
5635g (1 curve)	1	5- 7- 23+	2  1 5- 7- -5 -3  5  0
Curve Equation t Generators 5635g1 [0,1,1,1127180,-823053801] 1 [25818:1527081:8]
5635h (1 curve)	1	5- 7- 23+	2 -2 5- 7- -2  0  2  6
Curve Equation t Generators 5635h1 [0,1,1,-800,-12561] 1 [19612646:165971671:238328]
5635i (2 curves)	0	5- 7- 23-	1  2 5- 7-  0 -4 -2  8
Curve Equation t 5635i1 [1,1,0,38,-489] 2 5635i2 [1,1,0,-767,-8056] 2
5635j (2 curves)	0	5- 7- 23-	-1  0 5- 7-  2 -4  6  8
Curve Equation t 5635j1 [1,-1,1,-7972,275846] 2 5635j2 [1,-1,1,-6747,362576] 2
5635k (4 curves)	0	5- 7- 23-	-1  0 5- 7- -4  2 -6 -4
Curve Equation t 5635k1 [1,-1,1,113,-808426] 4 5635k2 [1,-1,1,-129492,-17605234] 4 5635k3 [1,-1,1,-2062297,-1139405256] 2 5635k4 [1,-1,1,-270367,27643816] 2
5635l (1 curve)	0	5- 7- 23-	2  0 5- 7-  2  2 -3  2
Curve Equation t 5635l1 [0,0,1,343,3687] 1
5635m (1 curve)	0	5- 7- 23-	2 -3 5- 7- -1 -7 -3  8
Curve Equation t 5635m1 [0,0,1,-637,-16893] 1

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