Cremona's table of elliptic curves

34086 = 2 · 3 · 13 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
34086a (4 curves)	1	2+ 3+ 13+ 19+ 23+	2+ 3+ -2  0 -4 13+ -6 19+
Curve Equation t Generators 34086a1 [1,1,0,-1086,-14220] 2 [-19:12:1] 34086a2 [1,1,0,-1406,-5580] 4 [-23:135:1] 34086a3 [1,1,0,5434,-37044] 2 [49:567:1] 34086a4 [1,1,0,-13366,585244] 2 [91:319:1]
34086b (4 curves)	0	2+ 3+ 13- 19+ 23+	2+ 3+  2  0 -4 13-  2 19+
Curve Equation t 34086b1 [1,1,0,-649,-1547] 2 34086b2 [1,1,0,-7869,-271575] 4 34086b3 [1,1,0,-5399,-442005] 2 34086b4 [1,1,0,-125859,-17238537] 2
34086c (1 curve)	0	2+ 3+ 13- 19+ 23+	2+ 3+ -4  1  2 13- -1 19+
Curve Equation t 34086c1 [1,1,0,-1824367,-1165657055] 1
34086d (2 curves)	0	2+ 3- 13- 19- 23+	2+ 3-  0 -1  6 13-  3 19-
Curve Equation t 34086d1 [1,0,1,149,146] 3 34086d2 [1,0,1,-1846,-34168] 1
34086e (2 curves)	0	2- 3+ 13+ 19+ 23+	2- 3+ -2  0  2 13+  0 19+
Curve Equation t 34086e1 [1,1,1,-3095834489,-69817294587193] 2 34086e2 [1,1,1,-50259451769,-4336860673484089] 2
34086f (2 curves)	2	2- 3+ 13+ 19+ 23+	2- 3+ -2 -4 -2 13+ -4 19+
Curve Equation t Generators 34086f1 [1,1,1,121,-403] 2 [5:16:1]&[9:34:1] 34086f2 [1,1,1,-659,-4459] 2 [-13:52:1]&[35:112:1]
34086g (1 curve)	1	2- 3- 13+ 19+ 23+	2- 3- -2  1 -4 13+ -3 19+
Curve Equation t Generators 34086g1 [1,0,0,-339,2385] 1 [12:-15:1]
34086h (6 curves)	0	2- 3- 13- 19+ 23+	2- 3- -2  0 -4 13- -6 19+
Curve Equation t 34086h1 [1,0,0,3170986,-3277701852] 8 34086h2 [1,0,0,-23371094,-34645131996] 8 34086h3 [1,0,0,-119021654,469375928868] 4 34086h4 [1,0,0,-352393814,-2546075553756] 4 34086h5 [1,0,0,-330937574,-2869648526700] 2 34086h6 [1,0,0,-5638213574,-162952733482572] 2
34086i (2 curves)	0	2- 3- 13- 19+ 23+	2- 3-  4  0  2 13-  6 19+
Curve Equation t 34086i1 [1,0,0,-1501,22253] 2 34086i2 [1,0,0,-1311,28143] 2
34086j (1 curve)	1	2- 3- 13- 19+ 23-	2- 3-  0  1 -2 13-  5 19+
Curve Equation t Generators 34086j1 [1,0,0,-1818,-847260] 1 [108:414:1]

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

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