Cremona's table of elliptic curves

12126 = 2 · 3 · 43 · 47

Class	r	Atkin-Lehner	Eigenvalues
12126a (2 curves)	1	2+ 3+ 43+ 47+	2+ 3+ -2  4 -2 -4 -6  4
Curve Equation t Generators 12126a1 [1,1,0,-6381,397341] 2 [45:429:1] 12126a2 [1,1,0,-129261,17821725] 2 [-373:3970:1]
12126b (1 curve)	2	2+ 3+ 43- 47+	2+ 3+ -3 -2  0 -4 -3 -3
Curve Equation t Generators 12126b1 [1,1,0,-24,-36] 1 [-4:6:1]&[-3:6:1]
12126c (4 curves)	1	2+ 3- 43+ 47-	2+ 3-  2 -4 -4 -6  2  4
Curve Equation t Generators 12126c1 [1,0,1,-4325,-214576] 2 [121044:2168524:343] 12126c2 [1,0,1,-86245,-9750064] 4 [1414:51215:1] 12126c3 [1,0,1,-1379685,-623875376] 2 [206830:4933971:125] 12126c4 [1,0,1,-103525,-5568304] 2 [-230:2582:1]
12126d (1 curve)	1	2+ 3- 43- 47+	2+ 3-  1  2  4 -4 -7 -7
Curve Equation t Generators 12126d1 [1,0,1,-950753,354323540] 1 [-789:25162:1]
12126e (1 curve)	1	2+ 3- 43- 47+	2+ 3-  3  0 -2  0  3 -5
Curve Equation t Generators 12126e1 [1,0,1,-577,-2188] 1 [-5:26:1]
12126f (1 curve)	1	2- 3+ 43+ 47-	2- 3+  2 -1  6 -2 -3  3
Curve Equation t Generators 12126f1 [1,1,1,47843,-5036941] 1 [119:1476:1]
12126g (1 curve)	1	2- 3- 43+ 47+	2- 3-  1 -4 -2  0  7  1
Curve Equation t Generators 12126g1 [1,0,0,-2445,-44271] 1 [-30:63:1]
12126h (1 curve)	0	2- 3- 43- 47+	2- 3-  2  3  6  2 -7  1
Curve Equation t 12126h1 [1,0,0,165558,-14171508] 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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