Cremona's table of elliptic curves

6325 = 5² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
6325a (1 curve)	1	5+ 11+ 23+	2  2 5+ -3 11+  0  3 -6
Curve Equation t Generators 6325a1 [0,-1,1,-8,-707] 1 [868:2443:64]
6325b (1 curve)	0	5+ 11+ 23-	1 -2 5+  4 11+  4 -1 -4
Curve Equation t 6325b1 [1,0,1,-6,-7] 1
6325c (2 curves)	1	5+ 11- 23-	0 -1 5+  1 11- -2 -3 -4
Curve Equation t Generators 6325c1 [0,-1,1,-23,18] 1 [-4:5:1] 6325c2 [0,-1,1,-1123,-14117] 1 [-19:0:1]
6325d (2 curves)	1	5+ 11- 23-	-2 -1 5+  3 11- -6  3  0
Curve Equation t Generators 6325d1 [0,-1,1,-2948,62568] 5 [3670:2623:125] 6325d2 [0,-1,1,-68958,-6940932] 1 [-149:60:1]
6325e (1 curve)	0	5- 11+ 23+	-1  2 5- -4 11+ -4  1 -4
Curve Equation t 6325e1 [1,1,1,-138,-844] 1
6325f (2 curves)	1	5- 11- 23+	0  1 5- -1 11-  2  3 -4
Curve Equation t Generators 6325f1 [0,1,1,-583,1119] 3 [-198:249:8] 6325f2 [0,1,1,-28083,-1820756] 1 [-7209678:281989:74088]
6325g (2 curves)	1	5- 11- 23+	2  1 5- -3 11-  6 -3  0
Curve Equation t Generators 6325g1 [0,1,1,-2758,-56631] 1 [-246:51:8] 6325g2 [0,1,1,-73708,7673619] 1 [714:10771:8]

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