Cremona's table of elliptic curves

42435 = 3² · 5 · 23 · 41

Class	r	Atkin-Lehner	Eigenvalues
42435a (1 curve)	1	3- 5+ 23+ 41-	0 3- 5+ -2 -3  2 -3  0
Curve Equation t Generators 42435a1 [0,0,1,-2118,-55886] 1 [134:-1438:1]
42435b (4 curves)	1	3- 5+ 23- 41+	1 3- 5+ -4  0  6 -6  0
Curve Equation t Generators 42435b1 [1,-1,0,3690,-464225] 2 [1510:20305:8] 42435b2 [1,-1,0,-71955,-6984824] 4 [-94200:58163:512] 42435b3 [1,-1,0,-221400,31601875] 2 [1294:-233:8] 42435b4 [1,-1,0,-1132830,-463797599] 2 [33617828062:-46510529696987:17576]
42435c (2 curves)	0	3- 5+ 23- 41-	-1 3- 5+  2  0  4  2  8
Curve Equation t 42435c1 [1,-1,1,-8633,309952] 2 42435c2 [1,-1,1,-138008,19767952] 2
42435d (1 curve)	1	3- 5- 23+ 41+	0 3- 5-  4 -3  0  3  6
Curve Equation t Generators 42435d1 [0,0,1,-13036332,328792568787] 1 [-6913:297562:1]
42435e (2 curves)	0	3- 5- 23+ 41-	1 3- 5- -2 -4  0 -2  4
Curve Equation t 42435e1 [1,-1,0,-5949,-173232] 2 42435e2 [1,-1,0,-11124,177633] 2
42435f (2 curves)	1	3- 5- 23- 41-	1 3- 5-  4 -2  4  0  2
Curve Equation t Generators 42435f1 [1,-1,0,-763063839,-8112957698952] 2 [-1125065355283428956648:562088988001603561428:70545851370996373] 42435f2 [1,-1,0,-762944814,-8115615265347] 2 [43806304367131619223892290788518274:-165455840354774626253094447363361736049:3071559866623152918426293336]
42435g (2 curves)	1	3- 5- 23- 41-	-1 3- 5- -4 -6  4 -4  2
Curve Equation t Generators 42435g1 [1,-1,1,-3692,-82034] 2 [-34:74:1] 42435g2 [1,-1,1,1933,-313784] 2 [76:-556:1]

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

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