Cremona's table of elliptic curves

6321 = 3 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
6321a (4 curves)	0	3+ 7- 43+	1 3+ -2 7-  0  2  6 -4
Curve Equation t 6321a1 [1,1,0,-1201,15520] 2 6321a2 [1,1,0,-1446,8415] 4 6321a3 [1,1,0,-11981,-503586] 2 6321a4 [1,1,0,5169,70596] 2
6321b (1 curve)	1	3+ 7- 43-	0 3+  0 7- -3 -1 -1  6
Curve Equation t Generators 6321b1 [0,-1,1,327,-106] 1 [12:73:1]
6321c (3 curves)	1	3+ 7- 43-	0 3+  0 7- -3 -5  3 -2
Curve Equation t Generators 6321c1 [0,-1,1,-2123,14910692] 1 [1780:482171:125] 6321c2 [0,-1,1,-4645853,3856096985] 1 [1685:28444:1] 6321c3 [0,-1,1,-376320653,2809988757554] 1 [89626:4259:8]
6321d (2 curves)	1	3+ 7- 43-	-1 3+  2 7- -4  4  8  8
Curve Equation t Generators 6321d1 [1,1,1,293,-354712] 2 [456:9511:1] 6321d2 [1,1,1,-73452,-7552224] 2 [13341:230386:27]
6321e (1 curve)	1	3- 7- 43+	0 3-  2 7- -5 -3  3 -2
Curve Equation t Generators 6321e1 [0,1,1,-947,-11581] 1 [37:73:1]
6321f (2 curves)	2	3- 7- 43-	-1 3- -2 7- -4 -4 -8 -8
Curve Equation t Generators 6321f1 [1,0,0,6,1035] 2 [-9:21:1]&[-3:33:1] 6321f2 [1,0,0,-1499,21804] 2 [-41:142:1]&[1:142:1]

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