Cremona's table of elliptic curves

4005 = 3² · 5 · 89

Class	r	Atkin-Lehner	Eigenvalues
4005a (1 curve)	1	3+ 5+ 89+	0 3+ 5+ -4 -2  4  6  0
Curve Equation t Generators 4005a1 [0,0,1,12,-57] 1 [11:37:1]
4005b (1 curve)	1	3+ 5- 89-	0 3+ 5- -4  2  4 -6  0
Curve Equation t Generators 4005b1 [0,0,1,108,1532] 1 [12:67:1]
4005c (4 curves)	0	3- 5+ 89+	1 3- 5+  0 -4 -6  6  8
Curve Equation t 4005c1 [1,-1,0,-225,-864] 2 4005c2 [1,-1,0,-1350,18711] 4 4005c3 [1,-1,0,-21375,1208196] 2 4005c4 [1,-1,0,675,68526] 2
4005d (2 curves)	0	3- 5- 89-	-1 3- 5-  4  0  4  6  2
Curve Equation t 4005d1 [1,-1,1,-1337,19136] 2 4005d2 [1,-1,1,-1112,25616] 2

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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