Cremona's table of elliptic curves

33575 = 5² · 17 · 79

Class	r	Atkin-Lehner	Eigenvalues
33575a (1 curve)	1	5+ 17+ 79+	2  3 5+ -1 -1 -2 17+ -4
Curve Equation t Generators 33575a1 [0,0,1,-175,-2219] 1 [5910:24967:216]
33575b (1 curve)	1	5+ 17+ 79+	-2  1 5+  1 -5  0 17+  4
Curve Equation t Generators 33575b1 [0,1,1,-128908,-18097656] 1 [65028:1920951:64]
33575c (2 curves)	0	5+ 17+ 79-	0  2 5+  4 -6  4 17+  5
Curve Equation t 33575c1 [0,-1,1,717,3718] 1 33575c2 [0,-1,1,-7783,-325657] 1
33575d (1 curve)	0	5+ 17+ 79-	1 -1 5+ -1 -2  5 17+  8
Curve Equation t 33575d1 [1,1,0,-1250,6625] 1
33575e (1 curve)	2	5+ 17- 79+	-2 -2 5+ -2 -2  6 17- -8
Curve Equation t Generators 33575e1 [0,1,1,-158,41844] 1 [103:-1063:1]&[74:1621:8]
33575f (2 curves)	1	5+ 17- 79-	0  2 5+ -2  0  4 17- -1
Curve Equation t Generators 33575f1 [0,-1,1,1967,191093] 1 [-1131:4924:27] 33575f2 [0,-1,1,-17783,-5309282] 1 [7374:85924:27]
33575g (2 curves)	1	5+ 17- 79-	0  2 5+  4  0  4 17- -4
Curve Equation t Generators 33575g1 [0,-1,1,-13383,-622457] 1 [19911:533197:27] 33575g2 [0,-1,1,-1099633,-443466832] 1 [7422873816:-1437339743:6128487]

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

Part of Computational Number Theory
Back to Tables and computations