Cremona's table of elliptic curves

10045 = 5 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
10045a (1 curve)	0	5+ 7+ 41-	2  0 5+ 7+  2  1 -5  4
Curve Equation t 10045a1 [0,0,1,-343,-1801] 1
10045b (1 curve)	2	5+ 7- 41+	0  0 5+ 7-  0 -4 -2 -3
Curve Equation t Generators 10045b1 [0,0,1,4312,9518] 1 [14:269:1]&[42:514:1]
10045c (1 curve)	0	5+ 7- 41+	0  2 5+ 7- -2  2  8  1
Curve Equation t 10045c1 [0,-1,1,-6631,-206788] 1
10045d (4 curves)	0	5+ 7- 41+	-1  0 5+ 7-  0  2  6  0
Curve Equation t 10045d1 [1,-1,1,-1063,-13058] 2 10045d2 [1,-1,1,-1308,-6394] 4 10045d3 [1,-1,1,-11353,463712] 2 10045d4 [1,-1,1,4817,-52944] 2
10045e (1 curve)	0	5+ 7- 41+	2 -3 5+ 7-  3  5  3  6
Curve Equation t 10045e1 [0,0,1,-87073,13790229] 1
10045f (1 curve)	0	5+ 7- 41+	-2  0 5+ 7- -2  6  6  3
Curve Equation t 10045f1 [0,0,1,-302183,-129081962] 1
10045g (1 curve)	2	5+ 7- 41+	-2 -2 5+ 7- -4  0  4 -5
Curve Equation t Generators 10045g1 [0,1,1,-16,620] 1 [-3:25:1]&[2:24:1]
10045h (2 curves)	1	5+ 7- 41-	1 -2 5+ 7-  0  4 -4  0
Curve Equation t Generators 10045h1 [1,0,1,-124,-3] 2 [-9:24:1] 10045h2 [1,0,1,-1349,-19113] 2 [-170:143:8]
10045i (1 curve)	1	5+ 7- 41-	-2  1 5+ 7-  3  1 -1  6
Curve Equation t Generators 10045i1 [0,1,1,-8836,3514116] 1 [366:7031:1]
10045j (2 curves)	1	5- 7- 41+	-1 -2 5- 7-  6 -2 -2  6
Curve Equation t Generators 10045j1 [1,0,0,-1030,12627] 2 [-31:138:1] 10045j2 [1,0,0,-785,18850] 2 [15:95:1]
10045k (1 curve)	1	5- 7- 41+	2  0 5- 7-  2 -1  5 -4
Curve Equation t Generators 10045k1 [0,0,1,-7,5] 1 [2:11:8]
10045l (1 curve)	2	5- 7- 41-	0 -2 5- 7- -2 -2 -8 -1
Curve Equation t Generators 10045l1 [0,1,1,-135,564] 1 [16:-53:1]&[2:17:1]
10045m (1 curve)	2	5- 7- 41-	-2  0 5- 7- -2 -6 -6 -3
Curve Equation t Generators 10045m1 [0,0,1,-6167,376332] 1 [-63:717:1]&[-33:737:1]

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

Part of Computational Number Theory
Back to Tables and computations