Cremona's table of elliptic curves

23199 = 3 · 11 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
23199a (1 curve)	2	3+ 11- 19+ 37+	0 3+ -2 -2 11- -6 -1 19+
Curve Equation t Generators 23199a1 [0,-1,1,-19,-24] 1 [-22:-1:8]&[-2:1:1]
23199b (1 curve)	0	3- 11+ 19+ 37+	0 3-  0 -2 11+  1  1 19+
Curve Equation t 23199b1 [0,1,1,-2783,597140] 1
23199c (4 curves)	1	3- 11+ 19+ 37-	1 3- -2  0 11+ -6  6 19+
Curve Equation t Generators 23199c1 [1,0,1,-2114102,-4334893549] 2 [1120686:418867805:8] 23199c2 [1,0,1,-54894107,-156193523935] 4 [-1092535293943105425:-2136598043058282611:247566683579671] 23199c3 [1,0,1,-76516202,-21704093035] 4 [8684022642612350789773392:-422995690937752751667139507:859208741775997816832] 23199c4 [1,0,1,-877752092,-10009424179519] 2 [-857407781911579446957186452592:417215651308005932531678186785:50124533020225809555755008]
23199d (1 curve)	1	3- 11+ 19- 37+	0 3-  0 -2 11+ -4  1 19-
Curve Equation t Generators 23199d1 [0,1,1,-1693,22465] 1 [35:85:1]
23199e (2 curves)	0	3- 11+ 19- 37-	1 3- -4  2 11+ -2  2 19-
Curve Equation t 23199e1 [1,0,1,-2368513,-1403227153] 2 23199e2 [1,0,1,-37896328,-89796430873] 2
23199f (1 curve)	2	3- 11+ 19- 37-	-2 3- -4 -4 11+  0 -5 19-
Curve Equation t Generators 23199f1 [0,1,1,-18910,994420] 1 [1540:60220:1]&[-37:1282:1]
23199g (1 curve)	2	3- 11- 19+ 37-	-2 3- -2  0 11- -6 -3 19+
Curve Equation t Generators 23199g1 [0,1,1,-1254,6806] 1 [-33:115:1]&[-198:1217:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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