Cremona's table of elliptic curves

8214 = 2 · 3 · 37²

Class	r	Atkin-Lehner	Eigenvalues
8214a (1 curve)	1	2+ 3+ 37+	2+ 3+  0  3  1 -1  3 -3
Curve Equation t Generators 8214a1 [1,1,0,23245,8727219] 1 [1273:45225:1]
8214b (2 curves)	1	2+ 3+ 37+	2+ 3+  0 -3 -2  5  0  0
Curve Equation t Generators 8214b1 [1,1,0,-65,177] 1 [4:-1:1] 8214b2 [1,1,0,305,-10331] 1 [78:665:1]
8214c (2 curves)	0	2+ 3+ 37-	2+ 3+  2  3  3  1  3 -1
Curve Equation t 8214c1 [1,1,0,-115024,-50691488] 1 8214c2 [1,1,0,-5433589,7349559853] 1
8214d (2 curves)	0	2+ 3- 37+	2+ 3-  0 -1  3  1  3  7
Curve Equation t 8214d1 [1,0,1,2709,-210770] 1 8214d2 [1,0,1,-202641,-35153126] 1
8214e (1 curve)	0	2+ 3- 37+	2+ 3-  1  2  2  6  3 -2
Curve Equation t 8214e1 [1,0,1,87587,116441720] 1
8214f (2 curves)	0	2- 3+ 37+	2- 3+  0 -3 -2 -5  0  0
Curve Equation t 8214f1 [1,1,1,-89698,10307387] 1 8214f2 [1,1,1,416832,-529552287] 1
8214g (4 curves)	0	2- 3+ 37+	2- 3+ -2  0 -4 -6 -6 -8
Curve Equation t 8214g1 [1,1,1,21191,-321529] 4 8214g2 [1,1,1,-88329,-2730969] 4 8214g3 [1,1,1,-1101389,-444830353] 2 8214g4 [1,1,1,-827589,287354655] 2
8214h (1 curve)	0	2- 3+ 37+	2- 3+  4  3  5 -3 -3  7
Curve Equation t 8214h1 [1,1,1,-249592686,1517642768811] 1
8214i (2 curves)	1	2- 3+ 37-	2- 3+ -2  3  3 -1 -3  1
Curve Equation t Generators 8214i1 [1,1,1,-84,-1035] 1 [15:29:1] 8214i2 [1,1,1,-3969,143487] 1 [15:288:1]
8214j (1 curve)	1	2- 3- 37+	2- 3- -1  2  2 -6 -3  2
Curve Equation t Generators 8214j1 [1,0,0,64,2304] 1 [-8:40:1]
8214k (1 curve)	1	2- 3- 37+	2- 3- -4 -1 -1  3 -3  5
Curve Equation t Generators 8214k1 [1,0,0,2025,-2323479] 1 [410:8009:1]

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