Cremona's table of elliptic curves

19525 = 5² · 11 · 71

Class	r	Atkin-Lehner	Eigenvalues
19525a (1 curve)	0	5+ 11+ 71-	0  0 5+  3 11+ -7 -3 -2
Curve Equation t 19525a1 [0,0,1,-34450,43406] 1
19525b (2 curves)	2	5+ 11+ 71-	-1 -2 5+  0 11+ -2  6 -6
Curve Equation t Generators 19525b1 [1,0,0,-563,5992] 2 [-8:104:1]&[-3:89:1] 19525b2 [1,0,0,-9438,352117] 2 [-68:859:1]&[-13:694:1]
19525c (4 curves)	2	5+ 11- 71+	1  0 5+  0 11- -6 -2 -8
Curve Equation t Generators 19525c1 [1,-1,0,-2042,-35009] 2 [54:73:1]&[4098:45751:27] 19525c2 [1,-1,0,-2167,-30384] 4 [64:268:1]&[1584:62208:1] 19525c3 [1,-1,0,-11042,422241] 2 [48:9:1]&[104:573:1] 19525c4 [1,-1,0,4708,-188509] 2 [34:83:1]&[1234:42783:1]
19525d (1 curve)	1	5+ 11- 71-	0  0 5+ -3 11- -1 -2 -7
Curve Equation t Generators 19525d1 [0,0,1,-15200,-721969] 1 [335:5637:1]
19525e (1 curve)	1	5+ 11- 71-	0  0 5+ -3 11- -1  3 -2
Curve Equation t Generators 19525e1 [0,0,1,-20200,1105031] 1 [81:16:1]
19525f (2 curves)	1	5- 11+ 71-	1 -2 5- -2 11+ -4  0  4
Curve Equation t Generators 19525f1 [1,0,1,-2076,36173] 2 [43:142:1] 19525f2 [1,0,1,-2701,12423] 2 [-23:261:1]
19525g (2 curves)	1	5- 11+ 71-	-1  2 5-  2 11+  4  0  4
Curve Equation t Generators 19525g1 [1,1,1,-83,256] 2 [50:327:1] 19525g2 [1,1,1,-108,56] 2 [0:7:1]

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