Cremona's table of elliptic curves

18744 = 2³ · 3 · 11 · 71

Class	r	Atkin-Lehner	Eigenvalues
18744a (1 curve)	1	2+ 3+ 11- 71-	2+ 3+ -1  3 11- -1  3  0
Curve Equation t Generators 18744a1 [0,-1,0,-161161,-16838291] 1 [-135:1562:1]
18744b (1 curve)	1	2+ 3- 11- 71+	2+ 3- -3  1 11-  1  3 -2
Curve Equation t Generators 18744b1 [0,1,0,-2817,1539] 1 [-45:198:1]
18744c (1 curve)	1	2+ 3- 11- 71+	2+ 3- -3  3 11-  3 -3  2
Curve Equation t Generators 18744c1 [0,1,0,-617,-2949] 1 [-17:54:1]
18744d (1 curve)	2	2+ 3- 11- 71-	2+ 3- -3 -1 11- -5 -3 -6
Curve Equation t Generators 18744d1 [0,1,0,-137,-261] 1 [-11:6:1]&[-5:18:1]
18744e (1 curve)	2	2+ 3- 11- 71-	2+ 3- -3 -5 11- -1 -7  2
Curve Equation t Generators 18744e1 [0,1,0,-249657,47926251] 1 [6555:-529254:1]&[-177:9306:1]
18744f (4 curves)	1	2- 3+ 11+ 71-	2- 3+ -2  0 11+  2 -2 -4
Curve Equation t Generators 18744f1 [0,-1,0,-679,-6512] 2 [33:77:1] 18744f2 [0,-1,0,-1284,7524] 4 [-16:154:1] 18744f3 [0,-1,0,-16904,851004] 2 [126:840:1] 18744f4 [0,-1,0,4656,52668] 2 [38:532:1]
18744g (2 curves)	1	2- 3+ 11- 71+	2- 3+  2 -2 11-  4 -2  0
Curve Equation t Generators 18744g1 [0,-1,0,-67,-188] 2 [21:85:1] 18744g2 [0,-1,0,-12,-540] 2 [12:30:1]
18744h (1 curve)	2	2- 3+ 11- 71-	2- 3+  1 -5 11- -1 -3 -8
Curve Equation t Generators 18744h1 [0,-1,0,-65,-171] 1 [-5:2:1]&[-4:3:1]
18744i (1 curve)	1	2- 3- 11+ 71+	2- 3-  1 -3 11+ -3 -1 -2
Curve Equation t Generators 18744i1 [0,1,0,-665,-6789] 1 [-15:6:1]
18744j (2 curves)	0	2- 3- 11- 71+	2- 3-  2  2 11-  2  0  4
Curve Equation t 18744j1 [0,1,0,-233332,-45263680] 2 18744j2 [0,1,0,-3776272,-2825762992] 2
18744k (2 curves)	0	2- 3- 11- 71+	2- 3-  2  2 11- -4  6  4
Curve Equation t 18744k1 [0,1,0,-67,230] 2 18744k2 [0,1,0,-1132,14288] 2
18744l (1 curve)	1	2- 3- 11- 71-	2- 3- -1 -1 11- -5  7  4
Curve Equation t Generators 18744l1 [0,1,0,-121,-517] 1 [-7:6:1]

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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