Cremona's table of elliptic curves

31977 = 3² · 11 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
31977a (2 curves)	1	3+ 11+ 17+ 19+	1 3+ -2 -2 11+ -2 17+ 19+
Curve Equation t Generators 31977a1 [1,-1,0,-806208,-278422669] 2 [211316638:65428062253:2197] 31977a2 [1,-1,0,-803913,-280088380] 2 [99511314263298158:-30910303914554035817:1034591361544]
31977b (1 curve)	1	3+ 11+ 17+ 19+	-1 3+  3  1 11+  0 17+ 19+
Curve Equation t Generators 31977b1 [1,-1,1,214,514] 1 [1:26:1]
31977c (2 curves)	0	3+ 11+ 17+ 19-	-1 3+ -2  2 11+  6 17+ 19-
Curve Equation t 31977c1 [1,-1,1,-2081,-35288] 2 31977c2 [1,-1,1,214,-110564] 2
31977d (1 curve)	1	3+ 11- 17- 19+	1 3+ -3  1 11-  0 17- 19+
Curve Equation t Generators 31977d1 [1,-1,0,24,-27] 1 [4:-13:1]
31977e (2 curves)	1	3+ 11- 17- 19+	-1 3+  2 -2 11- -2 17- 19+
Curve Equation t Generators 31977e1 [1,-1,1,-89579,10341810] 2 [320:3630:1] 31977e2 [1,-1,1,-89324,10403418] 2 [59:2280:1]
31977f (2 curves)	0	3+ 11- 17- 19-	1 3+  2  2 11-  6 17- 19-
Curve Equation t 31977f1 [1,-1,0,-231,1384] 2 31977f2 [1,-1,0,24,4087] 2
31977g (1 curve)	2	3- 11+ 17+ 19+	0 3-  0  1 11+ -4 17+ 19+
Curve Equation t Generators 31977g1 [0,0,1,150,-725] 1 [50:167:8]&[11:47:1]
31977h (1 curve)	0	3- 11+ 17+ 19+	-1 3-  0 -4 11+  7 17+ 19+
Curve Equation t 31977h1 [1,-1,1,-500,-4656] 1
31977i (1 curve)	0	3- 11+ 17+ 19+	-1 3- -3 -1 11+ -2 17+ 19+
Curve Equation t 31977i1 [1,-1,1,1402366,3703852482] 1
31977j (1 curve)	0	3- 11+ 17+ 19+	2 3-  2 -3 11+ -6 17+ 19+
Curve Equation t 31977j1 [0,0,1,-24069,-5310567] 1
31977k (1 curve)	0	3- 11+ 17+ 19+	2 3-  3  2 11+  4 17+ 19+
Curve Equation t 31977k1 [0,0,1,-666021,-209209307] 1
31977l (1 curve)	1	3- 11+ 17+ 19-	0 3-  0 -3 11+  4 17+ 19-
Curve Equation t Generators 31977l1 [0,0,1,-100560,-12277485] 1 [5458:123071:8]
31977m (1 curve)	1	3- 11+ 17+ 19-	-2 3- -2 -3 11+ -2 17+ 19-
Curve Equation t Generators 31977m1 [0,0,1,-19281,-1504800] 1 [200:1624:1]
31977n (1 curve)	1	3- 11+ 17- 19+	0 3-  2  1 11+  1 17- 19+
Curve Equation t Generators 31977n1 [0,0,1,-682284,258578001] 1 [-487:21802:1]
31977o (1 curve)	1	3- 11+ 17- 19+	1 3-  3  3 11+  2 17- 19+
Curve Equation t Generators 31977o1 [1,-1,0,-14463,-665982] 1 [12084:110355:64]
31977p (1 curve)	1	3- 11+ 17- 19+	-1 3-  3 -3 11+  2 17- 19+
Curve Equation t Generators 31977p1 [1,-1,1,-456656,-3342904972] 1 [102228:17623:64]
31977q (1 curve)	0	3- 11+ 17- 19-	0 3-  2 -3 11+ -1 17- 19-
Curve Equation t 31977q1 [0,0,1,306006,64349401] 1
31977r (1 curve)	1	3- 11- 17+ 19+	2 3-  2  3 11- -3 17+ 19+
Curve Equation t Generators 31977r1 [0,0,1,-1389,32031] 1 [-14:1481:8]
31977s (4 curves)	0	3- 11- 17+ 19-	-1 3-  2  0 11-  2 17+ 19-
Curve Equation t 31977s1 [1,-1,1,-5999,180326] 2 31977s2 [1,-1,1,-6044,177518] 4 31977s3 [1,-1,1,1651,593048] 2 31977s4 [1,-1,1,-14459,-418264] 2
31977t (1 curve)	0	3- 11- 17+ 19-	-1 3- -4  0 11- -1 17+ 19-
Curve Equation t 31977t1 [1,-1,1,-70142,-7132570] 1
31977u (1 curve)	0	3- 11- 17- 19+	0 3-  2 -2 11-  4 17- 19+
Curve Equation t 31977u1 [0,0,1,6,-257] 1
31977v (1 curve)	2	3- 11- 17- 19+	-1 3- -1 -3 11- -6 17- 19+
Curve Equation t Generators 31977v1 [1,-1,1,-8978,-969550] 1 [144:769:1]&[210:2419:1]
31977w (2 curves)	0	3- 11- 17- 19+	-1 3-  2  4 11- -2 17- 19+
Curve Equation t 31977w1 [1,-1,1,-329,-1920] 2 31977w2 [1,-1,1,526,-10812] 2
31977x (1 curve)	1	3- 11- 17- 19-	0 3- -2 -1 11-  3 17- 19-
Curve Equation t Generators 31977x1 [0,0,1,24,126] 1 [2:13:1]

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

Part of Computational Number Theory
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