Cremona's table of elliptic curves

258 = 2 · 3 · 43

Class	r	Atkin-Lehner	Eigenvalues
258a (1 curve)	1	2+ 3+ 43+	2+ 3+  1 -5  1 -3  0 -7
Curve Equation t Generators 258a1 [1,1,0,3,-3] 1 [2:3:1]
258b (2 curves)	0	2+ 3+ 43-	2+ 3+ -2  2  0  2  6  4
Curve Equation t 258b1 [1,1,0,-1916,31440] 2 258b2 [1,1,0,-1276,53584] 2
258c (1 curve)	1	2+ 3- 43-	2+ 3- -3 -3 -5 -3  0  7
Curve Equation t Generators 258c1 [1,0,1,-15,22] 1 [5:-12:1]
258d (4 curves)	0	2- 3+ 43+	2- 3+ -2  4  4  6 -6 -4
Curve Equation t 258d1 [1,1,1,-24,-39] 4 258d2 [1,1,1,-344,-2599] 4 258d3 [1,1,1,-5504,-159463] 2 258d4 [1,1,1,-304,-3175] 2
258e (1 curve)	0	2- 3+ 43+	2- 3+  3 -1 -1  1  4  1
Curve Equation t 258e1 [1,1,1,-44124,3549153] 1
258f (2 curves)	0	2- 3- 43-	2- 3- -1  1  5 -7  4 -1
Curve Equation t 258f1 [1,0,0,159,1737] 7 258f2 [1,0,0,-59901,-5648523] 1
258g (2 curves)	0	2- 3- 43-	2- 3-  2 -2 -4  2 -2 -4
Curve Equation t 258g1 [1,0,0,-2,0] 2 258g2 [1,0,0,8,2] 2

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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