Cremona's table of elliptic curves

21045 = 3 · 5 · 23 · 61

Class	r	Atkin-Lehner	Eigenvalues
21045a (1 curve)	2	3+ 5- 23+ 61+	0 3+ 5-  1 -5 -5 -2 -4
Curve Equation t Generators 21045a1 [0,-1,1,45,56] 1 [0:7:1]&[6:22:1]
21045b (1 curve)	0	3+ 5- 23+ 61+	2 3+ 5-  3 -1  1  2 -2
Curve Equation t 21045b1 [0,-1,1,-776340,-263026357] 1
21045c (1 curve)	2	3+ 5- 23+ 61+	-2 3+ 5- -1 -1 -3 -6 -6
Curve Equation t Generators 21045c1 [0,-1,1,-570,5438] 1 [-1:77:1]&[12:13:1]
21045d (1 curve)	2	3+ 5- 23- 61-	-2 3+ 5- -3 -3  1 -2  2
Curve Equation t Generators 21045d1 [0,-1,1,-12390,662006] 1 [-16201838245:145731662477:158340421]&[-48:1069:1]
21045e (2 curves)	1	3- 5+ 23+ 61-	-1 3- 5+  0  2  2  0 -6
Curve Equation t Generators 21045e1 [1,0,0,-7061,227760] 2 [-77:601:1] 21045e2 [1,0,0,-6436,269885] 2 [41:254:1]
21045f (1 curve)	1	3- 5+ 23- 61+	0 3- 5+  3 -1  3  6 -2
Curve Equation t Generators 21045f1 [0,1,1,-6441,-300724] 1 [102:337:1]
21045g (1 curve)	1	3- 5- 23+ 61+	0 3- 5- -3  0 -4  2  5
Curve Equation t Generators 21045g1 [0,1,1,105,839] 1 [3:34:1]

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