Cremona's table of elliptic curves

31635 = 3² · 5 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
31635a (2 curves)	1	3- 5+ 19- 37+	-1 3- 5+  2 -4  2 -6 19-
Curve Equation t Generators 31635a1 [1,-1,1,-26528,1764362] 2 [-78:1870:1] 31635a2 [1,-1,1,-431123,109062956] 2 [378:-149:1]
31635b (2 curves)	2	3- 5+ 19- 37-	0 3- 5+ -4  3 -4 -3 19-
Curve Equation t Generators 31635b1 [0,0,1,852,4059] 1 [-14:401:8]&[11:-122:1] 31635b2 [0,0,1,-15348,749664] 3 [-142:256:1]&[-1022:6323:8]
31635c (4 curves)	0	3- 5+ 19- 37-	1 3- 5+  4 -4 -2  6 19-
Curve Equation t 31635c1 [1,-1,0,-1980,34411] 2 31635c2 [1,-1,0,-2025,32800] 4 31635c3 [1,-1,0,2250,149935] 2 31635c4 [1,-1,0,-7020,-187979] 2
31635d (1 curve)	0	3- 5+ 19- 37-	2 3- 5+ -3  1 -4  6 19-
Curve Equation t 31635d1 [0,0,1,-2763,-52657] 1
31635e (1 curve)	0	3- 5+ 19- 37-	-2 3- 5+ -2  5 -2  3 19-
Curve Equation t 31635e1 [0,0,1,-463413,136868944] 1
31635f (1 curve)	2	3- 5- 19+ 37-	-2 3- 5- -4 -5 -4  3 19+
Curve Equation t Generators 31635f1 [0,0,1,-687,9022] 1 [7:67:1]&[-23:112:1]
31635g (1 curve)	0	3- 5- 19- 37+	2 3- 5- -2  1  2  5 19-
Curve Equation t 31635g1 [0,0,1,-2217,-40185] 1
31635h (1 curve)	0	3- 5- 19- 37+	2 3- 5-  4  3  4  7 19-
Curve Equation t 31635h1 [0,0,1,-417,39645] 1
31635i (1 curve)	1	3- 5- 19- 37-	0 3- 5-  1  5  0 -4 19-
Curve Equation t Generators 31635i1 [0,0,1,-1362,13072] 1 [32:47:1]
31635j (2 curves)	1	3- 5- 19- 37-	0 3- 5-  2  3  2 -3 19-
Curve Equation t Generators 31635j1 [0,0,1,-1542,-198918] 1 [512:11542:1] 31635j2 [0,0,1,13848,5306085] 3 [-145:499:1]

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

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