Cremona's table of elliptic curves

122199 = 3 · 7 · 11 · 23²

Class	r	Atkin-Lehner	Eigenvalues
122199a (2 curves)	0	3+ 7+ 11+ 23-	1 3+  4 7+ 11+ -4  2 -8
Curve Equation t 122199a1 [1,1,0,-38363,4544880] 2 122199a2 [1,1,0,-707548,228721855] 2
122199b (2 curves)	0	3+ 7+ 11+ 23-	-1 3+  0 7+ 11+ -4 -6  0
Curve Equation t 122199b1 [1,1,1,-43918,-3750766] 2 122199b2 [1,1,1,-713103,-232076688] 2
122199c (1 curve)	0	3+ 7+ 11+ 23-	-2 3+  1 7+ 11+ -2  4  4
Curve Equation t 122199c1 [0,-1,1,-9461870,-11200075780] 1
122199d (1 curve)	0	3+ 7+ 11+ 23-	-2 3+  3 7+ 11+ -6  0  0
Curve Equation t 122199d1 [0,-1,1,7790936,-18564712212] 1
122199e (1 curve)	1	3+ 7+ 11- 23-	1 3+ -2 7+ 11-  1 -5  1
Curve Equation t Generators 122199e1 [1,1,0,-3426,-78879] 1 [128:1201:1]
122199f (6 curves)	1	3+ 7+ 11- 23-	-1 3+  2 7+ 11-  6 -2 -4
Curve Equation t Generators 122199f1 [1,1,1,-17997,-936486] 2 [-3333890:2382276:42875] 122199f2 [1,1,1,-20642,-646594] 4 [36300:1305659:27] 122199f3 [1,1,1,66643,-4591876] 2 [34988135:654329287:274625] 122199f4 [1,1,1,-150247,21904676] 4 [-370:5382:1] 122199f5 [1,1,1,16388,68029244] 2 [174:8641:1] 122199f6 [1,1,1,-2390562,1421653488] 2 [5449:384860:1]
122199g (1 curve)	1	3+ 7- 11+ 23-	1 3+  2 7- 11+  1  5 -1
Curve Equation t Generators 122199g1 [1,1,0,-1812629,941595378] 1 [1762462:3803064:2197]
122199h (1 curve)	1	3+ 7- 11+ 23-	2 3+  3 7- 11+  2 -6 -2
Curve Equation t Generators 122199h1 [0,-1,1,-85874,273869153] 1 [21802:1139057:8]
122199i (1 curve)	2	3+ 7- 11- 23-	-2 3+ -1 7- 11- -2 -4 -4
Curve Equation t Generators 122199i1 [0,-1,1,-17886,926750] 1 [8:885:1]&[-1014:8543:8]
122199j (1 curve)	2	3+ 7- 11- 23-	-2 3+ -3 7- 11- -6  0  0
Curve Equation t Generators 122199j1 [0,-1,1,14728,1520702] 1 [62:-1634:1]&[-15:1138:1]
122199k (1 curve)	0	3- 7- 11+ 23-	2 3-  1 7- 11+  6  2 -2
Curve Equation t 122199k1 [0,1,1,192380,2789647] 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
Back to Tables and computations