Cremona's table of elliptic curves

12282 = 2 · 3 · 23 · 89

Class	r	Atkin-Lehner	Eigenvalues
12282a (1 curve)	0	2+ 3+ 23+ 89-	2+ 3+ -2 -2 -1  3 -5  5
Curve Equation t 12282a1 [1,1,0,177939,994373661] 1
12282b (1 curve)	0	2+ 3+ 23+ 89-	2+ 3+ -2  4 -1  3 -2 -1
Curve Equation t 12282b1 [1,1,0,-12251,517149] 1
12282c (1 curve)	2	2+ 3+ 23- 89+	2+ 3+ -1 -2 -2  1 -4 -5
Curve Equation t Generators 12282c1 [1,1,0,-8,-6] 1 [-3:3:1]&[-1:2:1]
12282d (1 curve)	1	2+ 3- 23- 89+	2+ 3- -1  2 -2  5  0 -1
Curve Equation t Generators 12282d1 [1,0,1,-529784,-134873530] 1 [-372:3466:1]
12282e (1 curve)	0	2- 3+ 23+ 89+	2- 3+ -2 -2  5  5  5 -5
Curve Equation t 12282e1 [1,1,1,-360549,-83554005] 1
12282f (1 curve)	0	2- 3+ 23+ 89+	2- 3+  4  4 -4  5 -1  1
Curve Equation t 12282f1 [1,1,1,19,11] 1
12282g (1 curve)	1	2- 3+ 23+ 89-	2- 3+ -3 -4  6 -5 -2  1
Curve Equation t Generators 12282g1 [1,1,1,-362,2495] 1 [15:19:1]
12282h (1 curve)	2	2- 3+ 23- 89-	2- 3+ -1 -4 -6 -3 -6  5
Curve Equation t Generators 12282h1 [1,1,1,-381,-1773] 1 [-17:20:1]&[-9:36:1]
12282i (1 curve)	0	2- 3+ 23- 89-	2- 3+  4  4  5  6 -5 -4
Curve Equation t 12282i1 [1,1,1,-87236,-9954619] 1
12282j (1 curve)	0	2- 3- 23+ 89-	2- 3-  0  0 -4  3  1  5
Curve Equation t 12282j1 [1,0,0,-483,-4149] 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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