Cremona's table of elliptic curves

8835 = 3 · 5 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
8835a (2 curves)	1	3+ 5+ 19+ 31+	-1 3+ 5+  2  4  2 -2 19+
Curve Equation t Generators 8835a1 [1,1,1,-16,8] 2 [4:3:1] 8835a2 [1,1,1,-111,-486] 2 [-6:5:1]
8835b (2 curves)	0	3+ 5+ 19+ 31-	-1 3+ 5+  4 -2  6 -2 19+
Curve Equation t 8835b1 [1,1,1,-26931,14943744] 2 8835b2 [1,1,1,-1090076,435098648] 2
8835c (4 curves)	1	3+ 5- 19+ 31-	1 3+ 5-  4 -4 -6  2 19+
Curve Equation t Generators 8835c1 [1,1,0,509468,44441059] 2 [9225559168505160403057520:-1211595870701636305921229263:135385647845282842112000] 8835c2 [1,1,0,-2147737,361711336] 4 [-9139763476760:-254302481413217:7529536000] 8835c3 [1,1,0,-19661962,-33297126269] 2 [573028089693127871425234958:63267365075812668186884731181:41260909813935738511528] 8835c4 [1,1,0,-27148792,54378990769] 4 [23205380:-65698837:8000]
8835d (4 curves)	1	3+ 5- 19+ 31-	1 3+ 5- -4  0 -2  2 19+
Curve Equation t Generators 8835d1 [1,1,0,-552,-5229] 2 [9770:77723:125] 8835d2 [1,1,0,-557,-5136] 4 [308:5246:1] 8835d3 [1,1,0,-1412,13161] 4 [32:29:1] 8835d4 [1,1,0,218,-17381] 2 [157448:2690261:512]
8835e (4 curves)	1	3+ 5- 19+ 31-	-1 3+ 5-  4 -4  2  2 19+
Curve Equation t Generators 8835e1 [1,1,1,695,-7090] 4 [96850:684633:2197] 8835e2 [1,1,1,-4110,-72438] 4 [192:2406:1] 8835e3 [1,1,1,-60065,-5690320] 2 [-142:98:1] 8835e4 [1,1,1,-25035,1459272] 2 [71715:762483:343]
8835f (4 curves)	1	3+ 5- 19- 31+	-1 3+ 5-  0  0  2  2 19-
Curve Equation t Generators 8835f1 [1,1,1,25,1460] 4 [-2:38:1] 8835f2 [1,1,1,-1780,27452] 4 [-18:241:1] 8835f3 [1,1,1,-4155,-64698] 2 [127:1151:1] 8835f4 [1,1,1,-28285,1819190] 2 [98:-27:1]
8835g (2 curves)	2	3- 5+ 19+ 31+	-1 3- 5+ -4 -2 -6 -2 19+
Curve Equation t Generators 8835g1 [1,0,0,-171,1296] 2 [-7:50:1]&[3:27:1] 8835g2 [1,0,0,-3116,66675] 2 [583:-14309:1]&[-29:379:1]
8835h (1 curve)	0	3- 5+ 19+ 31+	2 3- 5+  2  1  6  4 19+
Curve Equation t 8835h1 [0,1,1,-116,-535] 1
8835i (2 curves)	1	3- 5+ 19- 31+	-1 3- 5+  2  2  4  2 19-
Curve Equation t Generators 8835i1 [1,0,0,-6086,-183285] 2 [19384263:-380424723:50653] 8835i2 [1,0,0,-97381,-11704714] 2 [1531:57787:1]
8835j (2 curves)	1	3- 5+ 19- 31+	-1 3- 5+ -4  2  4  2 19-
Curve Equation t Generators 8835j1 [1,0,0,-106,1211] 2 [5:26:1] 8835j2 [1,0,0,-2481,47286] 2 [51:-258:1]
8835k (2 curves)	0	3- 5+ 19- 31-	1 3- 5+  2  4  6  6 19-
Curve Equation t 8835k1 [1,0,1,-19624,-1059703] 2 8835k2 [1,0,1,-19719,-1048949] 2

Data from Elliptic Curve Data by J. E. Cremona.
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