Cremona's table of elliptic curves

12141 = 3² · 19 · 71

Class	r	Atkin-Lehner	Eigenvalues
12141a (2 curves)	1	3+ 19+ 71+	1 3+  0  4  0  4 -2 19+
Curve Equation t Generators 12141a1 [1,-1,0,-72,-205] 2 [-332:355:64] 12141a2 [1,-1,0,-1137,-14476] 2 [205730:1443317:2744]
12141b (2 curves)	0	3+ 19+ 71-	-1 3+  0  4  0  4  2 19+
Curve Equation t 12141b1 [1,-1,1,-650,6184] 2 12141b2 [1,-1,1,-10235,401086] 2
12141c (1 curve)	0	3- 19+ 71+	0 3-  1 -3  3 -2 -3 19+
Curve Equation t 12141c1 [0,0,1,264258,3334034] 1
12141d (2 curves)	2	3- 19+ 71+	-1 3- -2 -4 -2  0  0 19+
Curve Equation t Generators 12141d1 [1,-1,1,-1526,23996] 2 [-42:133:1]&[12:79:1] 12141d2 [1,-1,1,-24611,1492202] 2 [-180:346:1]&[144:886:1]
12141e (1 curve)	1	3- 19+ 71-	0 3-  1  1 -1  6  1 19+
Curve Equation t Generators 12141e1 [0,0,1,-72,-466] 1 [162:635:8]
12141f (4 curves)	1	3- 19+ 71-	1 3-  2 -4 -4  6 -6 19+
Curve Equation t Generators 12141f1 [1,-1,0,2619,141912] 2 [1992:87924:1] 12141f2 [1,-1,0,-30186,1814967] 4 [4176040:20075979:64000] 12141f3 [1,-1,0,-116451,-13350420] 2 [-709149445880:4480390641593:3241792000] 12141f4 [1,-1,0,-468801,123662214] 4 [-630:13302:1]

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

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