Cremona's table of elliptic curves

414 = 2 · 3² · 23

Class	r	Atkin-Lehner	Eigenvalues
414c (4 curves)	1	2+ 3- 23-	2+ 3- -2  0  0 -2 -2 -8
Curve Equation t Generators 414c1 [1,-1,0,27,-59] 2 [5:11:1] 414c2 [1,-1,0,-153,-455] 4 [-9:16:1] 414c3 [1,-1,0,-2223,-39785] 2 [-27:16:1] 414c4 [1,-1,0,-963,11371] 2 [-31:119:1]
414d (2 curves)	1	2- 3- 23+	2- 3- -4 -4 -2 -2  2 -2
Curve Equation t Generators 414d1 [1,-1,1,-92,415] 2 [13:-43:1] 414d2 [1,-1,1,-1532,23455] 2 [17:37:1]
414a (4 curves)	0	2- 3- 23-	2- 3-  0  2  0  2  0  2
Curve Equation t 414a1 [1,-1,1,-320,-2221] 2 414a2 [1,-1,1,-5180,-142189] 2 414a3 [1,-1,1,1705,-5137] 6 414a4 [1,-1,1,-6935,-36241] 6
414b (2 curves)	0	2- 3- 23-	2- 3-  2 -2  6 -2  0  0
Curve Equation t 414b1 [1,-1,1,-14,-39] 2 414b2 [1,-1,1,-284,-1767] 2

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

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