Cremona's table of elliptic curves

4845 = 3 · 5 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
4845a (2 curves)	1	3+ 5+ 17+ 19+	1 3+ 5+ -2 -2  6 17+ 19+
Curve Equation t Generators 4845a1 [1,1,0,-59900223,178414451352] 2 [284052:77709:64] 4845a2 [1,1,0,-59900318,178413857013] 2 [35501380:9124057:8000]
4845b (4 curves)	1	3+ 5+ 17+ 19+	1 3+ 5+  4  4 -6 17+ 19+
Curve Equation t Generators 4845b1 [1,1,0,-1643,-26328] 2 [8420216:11491017:175616] 4845b2 [1,1,0,-1768,-22253] 4 [6324:53363:64] 4845b3 [1,1,0,-9843,354042] 2 [887780:5974823:8000] 4845b4 [1,1,0,4307,-135248] 2 [45665130:553172537:343000]
4845c (2 curves)	2	3+ 5+ 17+ 19-	-1 3+ 5+ -4  0 -4 17+ 19-
Curve Equation t Generators 4845c1 [1,1,1,-1,14] 2 [-2:4:1]&[1:3:1] 4845c2 [1,1,1,-96,318] 2 [-8:29:1]&[-2:23:1]
4845d (4 curves)	0	3+ 5- 17- 19-	-1 3+ 5-  4  0  2 17- 19-
Curve Equation t 4845d1 [1,1,1,-30,-1158] 4 4845d2 [1,1,1,-1835,-30760] 4 4845d3 [1,1,1,-29290,-1941628] 2 4845d4 [1,1,1,-3260,21680] 2
4845e (2 curves)	1	3- 5+ 17+ 19-	-1 3- 5+  2 -2 -2 17+ 19-
Curve Equation t Generators 4845e1 [1,0,0,-86,-309] 2 [-5:4:1] 4845e2 [1,0,0,-181,470] 2 [-7:41:1]
4845f (2 curves)	1	3- 5- 17+ 19+	-1 3- 5-  2  2  0 17+ 19+
Curve Equation t Generators 4845f1 [1,0,0,220,82887] 2 [-23:268:1] 4845f2 [1,0,0,-27235,1691750] 2 [77:191:1]
4845g (4 curves)	0	3- 5- 17- 19+	1 3- 5-  4 -4 -2 17- 19+
Curve Equation t 4845g1 [1,0,1,-4543,-118219] 2 4845g2 [1,0,1,-4548,-117947] 4 4845g3 [1,0,1,-6923,17903] 4 4845g4 [1,0,1,-2253,-236369] 2
4845h (4 curves)	1	3- 5- 17- 19-	-1 3- 5- -4  0 -2 17- 19-
Curve Equation t Generators 4845h1 [1,0,0,-6575,204432] 4 [49:-2:1] 4845h2 [1,0,0,-8380,82775] 4 [-85:470:1] 4845h3 [1,0,0,-77635,-8269378] 2 [-151:203:1] 4845h4 [1,0,0,31995,656100] 2 [0:810:1]

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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