Cremona's table of elliptic curves

31311 = 3² · 7² · 71

Class	r	Atkin-Lehner	Eigenvalues
31311a (1 curve)	2	3- 7+ 71+	-1 3- -3 7+ -4  0 -4 -4
Curve Equation t Generators 31311a1 [1,-1,1,-1994,-21486] 1 [86:618:1]&[-31:114:1]
31311b (1 curve)	1	3- 7- 71+	-1 3-  0 7- -1  3 -2  4
Curve Equation t Generators 31311b1 [1,-1,1,10795,-227482] 1 [136:1866:1]
31311c (1 curve)	1	3- 7- 71+	-1 3-  3 7- -3 -5  6 -4
Curve Equation t Generators 31311c1 [1,-1,1,-41,1068] 1 [2:-33:1]
31311d (1 curve)	1	3- 7- 71+	-1 3-  3 7- -4  0  4  4
Curve Equation t Generators 31311d1 [1,-1,1,-41,74] 1 [6:1:1]
31311e (1 curve)	1	3- 7- 71+	-1 3- -3 7- -3  5 -6  4
Curve Equation t Generators 31311e1 [1,-1,1,-1994,-362428] 1 [282:4489:1]
31311f (2 curves)	0	3- 7- 71-	1 3-  0 7-  0  2 -6 -2
Curve Equation t 31311f1 [1,-1,0,-3537,-40608] 2 31311f2 [1,-1,0,11898,-309177] 2
31311g (2 curves)	0	3- 7- 71-	1 3-  0 7-  0 -2  6  2
Curve Equation t 31311g1 [1,-1,0,-72,139] 2 31311g2 [1,-1,0,243,832] 2
31311h (1 curve)	0	3- 7- 71-	1 3-  3 7-  3  1 -6 -4
Curve Equation t 31311h1 [1,-1,0,-235875033,-1394306835692] 1
31311i (1 curve)	0	3- 7- 71-	1 3- -3 7-  3 -1  6  4
Curve Equation t 31311i1 [1,-1,0,-4813776,4066409871] 1
31311j (1 curve)	0	3- 7- 71-	1 3-  4 7-  3 -1  6  4
Curve Equation t 31311j1 [1,-1,0,-240,-1387] 1
31311k (1 curve)	2	3- 7- 71-	1 3- -4 7-  3  1 -6 -4
Curve Equation t Generators 31311k1 [1,-1,0,-11769,499274] 1 [86:300:1]&[62:40:1]
31311l (2 curves)	0	3- 7- 71-	-1 3-  2 7-  0  2  0  0
Curve Equation t 31311l1 [1,-1,1,211,11148] 2 31311l2 [1,-1,1,-6404,191076] 2

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

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