Cremona's table of elliptic curves

41912 = 2³ · 13² · 31

Class	r	Atkin-Lehner	Eigenvalues
41912a (1 curve)	1	2+ 13+ 31+	2+  0  3  3 -2 13+  0 -1
Curve Equation t Generators 41912a1 [0,0,0,169,-2197] 1 [247:3887:1]
41912b (1 curve)	1	2+ 13+ 31+	2+ -2  1  1  2 13+  0 -7
Curve Equation t Generators 41912b1 [0,1,0,-90640,-10576383] 1 [233720:9968803:125]
41912c (1 curve)	1	2+ 13+ 31+	2+  3  3 -3 -2 13+  3 -4
Curve Equation t Generators 41912c1 [0,0,0,-23491,-7087522] 1 [8710069386018:-67137419354473:33823616904]
41912d (2 curves)	0	2+ 13+ 31-	2+ -2 -2  0 -2 13+  6 -4
Curve Equation t 41912d1 [0,1,0,1296,-5264] 2 41912d2 [0,1,0,-5464,-48528] 2
41912e (1 curve)	0	2+ 13+ 31-	2+  3  2 -5  3 13+  5 -5
Curve Equation t 41912e1 [0,0,0,-15379,-714025] 1
41912f (1 curve)	0	2- 13+ 31+	2-  0  4  2 -3 13+  8 -4
Curve Equation t 41912f1 [0,0,0,-15548,746980] 1
41912g (1 curve)	0	2- 13+ 31+	2-  3 -2  5 -3 13+  5  5
Curve Equation t 41912g1 [0,0,0,-91,-325] 1
41912h (1 curve)	1	2- 13+ 31-	2-  1 -1  3 -4 13+  3  2
Curve Equation t Generators 41912h1 [0,1,0,-196096,34073248] 1 [-477:4394:1]
41912i (1 curve)	1	2- 13+ 31-	2- -2 -1  3  2 13+ -6 -1
Curve Equation t Generators 41912i1 [0,1,0,-56,2341] 1 [30:169:1]

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