Cremona's table of elliptic curves

8398 = 2 · 13 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
8398a (2 curves)	1	2+ 13+ 17+ 19+	2+ -2  0 -2 -6 13+ 17+ 19+
Curve Equation t Generators 8398a1 [1,0,1,-86,360] 2 [5:5:1] 8398a2 [1,0,1,-1446,21032] 2 [17:29:1]
8398b (2 curves)	0	2+ 13+ 17- 19+	2+  2 -2  2  6 13+ 17- 19+
Curve Equation t 8398b1 [1,1,0,-16816,-843984] 2 8398b2 [1,1,0,-9596,-1564540] 2
8398c (2 curves)	2	2+ 13- 17+ 19+	2+ -2 -2 -2  0 13- 17+ 19+
Curve Equation t Generators 8398c1 [1,0,1,-267,566] 2 [-17:24:1]&[-10:52:1] 8398c2 [1,0,1,-2347,-43530] 2 [-30:24:1]&[-26:21:1]
8398d (2 curves)	1	2+ 13- 17- 19+	2+  0  0  0 -2 13- 17- 19+
Curve Equation t Generators 8398d1 [1,-1,0,-47,89] 2 [1:6:1] 8398d2 [1,-1,0,143,507] 2 [1:25:1]
8398e (2 curves)	1	2+ 13- 17- 19+	2+  2  0  4 -4 13- 17- 19+
Curve Equation t Generators 8398e1 [1,1,0,-110,356] 2 [-5:31:1] 8398e2 [1,1,0,150,2072] 2 [29:164:1]
8398f (2 curves)	0	2+ 13- 17- 19-	2+  2  0 -2 -4 13- 17- 19-
Curve Equation t 8398f1 [1,1,0,-13030,558228] 2 8398f2 [1,1,0,-207590,36318356] 2
8398g (4 curves)	0	2+ 13- 17- 19-	2+ -2  0  2  0 13- 17- 19-
Curve Equation t 8398g1 [1,0,1,-21871,-1091826] 6 8398g2 [1,0,1,-90461,9361290] 6 8398g3 [1,0,1,-1709546,-860480484] 2 8398g4 [1,0,1,-1710306,-859677316] 2
8398h (2 curves)	1	2- 13+ 17+ 19-	2- -2 -2 -2  0 13+ 17+ 19-
Curve Equation t Generators 8398h1 [1,0,0,-46164,3813868] 2 [116:94:1] 8398h2 [1,0,0,-46294,3791274] 2 [902:271:8]
8398i (4 curves)	0	2- 13- 17+ 19-	2- -2  0  2 -6 13- 17+ 19-
Curve Equation t 8398i1 [1,0,0,507,9793] 6 8398i2 [1,0,0,-4933,115329] 6 8398i3 [1,0,0,-4693,-308655] 2 8398i4 [1,0,0,-102953,-12709067] 2

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

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