Cremona's table of elliptic curves

12354 = 2 · 3 · 29 · 71

Class	r	Atkin-Lehner	Eigenvalues
12354a (1 curve)	1	2+ 3+ 29- 71-	2+ 3+  0 -3  0  6  4 -1
Curve Equation t Generators 12354a1 [1,1,0,-121495,-16350683] 1 [974:27629:1]
12354b (1 curve)	1	2+ 3+ 29- 71-	2+ 3+ -1 -1 -2 -4  3 -1
Curve Equation t Generators 12354b1 [1,1,0,-34438,2445844] 1 [105:-17:1]
12354c (2 curves)	1	2+ 3+ 29- 71-	2+ 3+  2  2 -2  2  6 -4
Curve Equation t Generators 12354c1 [1,1,0,-114,-540] 2 [15:30:1] 12354c2 [1,1,0,-1854,-31512] 2 [131:1347:1]
12354d (4 curves)	1	2+ 3- 29+ 71-	2+ 3-  2 -4  0  2  2 -4
Curve Equation t Generators 12354d1 [1,0,1,-93835,-11071306] 2 [1423:51608:1] 12354d2 [1,0,1,-94155,-10992074] 4 [-190:312:1] 12354d3 [1,0,1,-181635,12627526] 2 [-58:4821:1] 12354d4 [1,0,1,-11795,-29539546] 2 [378:4288:1]
12354e (2 curves)	1	2+ 3- 29- 71+	2+ 3-  2 -2  0  2  0 -8
Curve Equation t Generators 12354e1 [1,0,1,-30275,2025326] 2 [60:622:1] 12354e2 [1,0,1,-484415,129729494] 2 [408:13:1]
12354f (1 curve)	1	2+ 3- 29- 71+	2+ 3- -4  1  0  2  0  1
Curve Equation t Generators 12354f1 [1,0,1,-15693,-2249528] 1 [995:30606:1]
12354g (1 curve)	0	2- 3+ 29+ 71+	2- 3+  0 -1  0 -6  0 -1
Curve Equation t 12354g1 [1,1,1,-50598,-4769373] 1
12354h (2 curves)	0	2- 3- 29- 71+	2- 3-  3 -1  6 -4 -3  5
Curve Equation t 12354h1 [1,0,0,-659,10137] 3 12354h2 [1,0,0,5431,-166473] 1

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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