Cremona's table of elliptic curves

8211 = 3 · 7 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
8211a (4 curves)	1	3+ 7+ 17+ 23+	-1 3+  2 7+ -4 -2 17+ -4
Curve Equation t Generators 8211a1 [1,1,1,-2797,-58102] 2 [7645:4323:125] 8211a2 [1,1,1,-2842,-56194] 4 [167:1956:1] 8211a3 [1,1,1,-8707,241748] 2 [1382:15165:8] 8211a4 [1,1,1,2303,-231124] 2 [82760:1031999:512]
8211b (2 curves)	0	3+ 7+ 17- 23+	1 3+  2 7+  0  6 17-  0
Curve Equation t 8211b1 [1,1,0,-24,-45] 2 8211b2 [1,1,0,61,-198] 2
8211c (2 curves)	0	3+ 7- 17- 23-	1 3+  2 7-  0 -2 17- -8
Curve Equation t 8211c1 [1,1,0,-2439,45360] 2 8211c2 [1,1,0,-2354,48777] 2
8211d (4 curves)	0	3+ 7- 17- 23-	-1 3+ -2 7-  4 -2 17-  4
Curve Equation t 8211d1 [1,1,1,-84,180] 2 8211d2 [1,1,1,-489,-4194] 4 8211d3 [1,1,1,-7734,-265014] 2 8211d4 [1,1,1,276,-15210] 4
8211e (1 curve)	1	3- 7+ 17+ 23-	0 3- -2 7+ -1  2 17+  3
Curve Equation t Generators 8211e1 [0,1,1,-8219,284078] 1 [58:76:1]
8211f (1 curve)	1	3- 7+ 17+ 23-	-1 3-  1 7+ -2 -2 17+  7
Curve Equation t Generators 8211f1 [1,0,0,50,-15337] 1 [29:89:1]
8211g (4 curves)	1	3- 7+ 17- 23+	-1 3- -2 7+  4 -2 17-  4
Curve Equation t Generators 8211g1 [1,0,0,-19687394,19410999699] 4 [-4406:145819:1] 8211g2 [1,0,0,-140375239,-626389658896] 4 [-6463:107654:1] 8211g3 [1,0,0,-2232551724,-40602442628385] 2 [9062070:1665847077:125] 8211g4 [1,0,0,20795726,-1981096088107] 2 [63764:16049183:1]
8211h (1 curve)	1	3- 7+ 17- 23+	-1 3-  3 7+ -6 -2 17- -1
Curve Equation t Generators 8211h1 [1,0,0,-84,291] 1 [5:-1:1]
8211i (1 curve)	2	3- 7+ 17- 23-	-1 3- -2 7+ -5 -5 17- -5
Curve Equation t Generators 8211i1 [1,0,0,-15299,737190] 1 [-143:148:1]&[-65:1240:1]

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

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