Cremona's table of elliptic curves

51623 = 11 · 13 · 19²

Class	r	Atkin-Lehner	Eigenvalues
51623a (1 curve)	1	11+ 13+ 19+	0  2  2  5 11+ 13+  0 19+
Curve Equation t Generators 51623a1 [0,-1,1,-177,724] 1 [-86:281:8]
51623b (3 curves)	0	11+ 13+ 19-	0  2  0 -1 11+ 13+  0 19-
Curve Equation t 51623b1 [0,-1,1,-286393,-58896445] 1 51623b2 [0,-1,1,-311663,-47861036] 1 51623b3 [0,-1,1,-9228363,10790476981] 1
51623c (4 curves)	0	11+ 13+ 19-	1  0 -2  0 11+ 13+  2 19-
Curve Equation t 51623c1 [1,-1,0,-21908,958235] 2 51623c2 [1,-1,0,-326953,72033720] 4 51623c3 [1,-1,0,-303488,82794769] 2 51623c4 [1,-1,0,-5231138,4606443171] 2
51623d (1 curve)	0	11+ 13+ 19-	-2  0 -2  3 11+ 13+  8 19-
Curve Equation t 51623d1 [0,0,1,-188081,-31395358] 1
51623e (1 curve)	0	11+ 13- 19+	0 -2  2  5 11+ 13-  0 19+
Curve Equation t 51623e1 [0,1,1,-64017,-4583781] 1
51623f (1 curve)	1	11+ 13- 19-	0  1 -1 -2 11+ 13- -4 19-
Curve Equation t Generators 51623f1 [0,1,1,-481,14637] 1 [177:2346:1]

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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