Cremona's table of elliptic curves

42705 = 3² · 5 · 13 · 73

Class	r	Atkin-Lehner	Eigenvalues
42705a (1 curve)	0	3- 5+ 13+ 73+	1 3- 5+  0 -2 13+  4 -2
Curve Equation t 42705a1 [1,-1,0,-5580,219055] 1
42705b (1 curve)	0	3- 5+ 13+ 73+	-1 3- 5+  4 -6 13+  8 -2
Curve Equation t 42705b1 [1,-1,1,-12173,738456] 1
42705c (1 curve)	0	3- 5+ 13+ 73+	-2 3- 5+  1  5 13+ -7 -4
Curve Equation t 42705c1 [0,0,1,-710103,-230773946] 1
42705d (1 curve)	1	3- 5+ 13+ 73-	0 3- 5+ -1  3 13+  5  2
Curve Equation t Generators 42705d1 [0,0,1,-458598,221283328] 1 [7594:659299:1]
42705e (1 curve)	1	3- 5+ 13+ 73-	0 3- 5+ -1 -5 13+  1  2
Curve Equation t Generators 42705e1 [0,0,1,222,364] 1 [46:328:1]
42705f (1 curve)	1	3- 5+ 13- 73+	-2 3- 5+  1 -3 13-  3  6
Curve Equation t Generators 42705f1 [0,0,1,-7320336843,-289082018003202] 1 [12373762:15364737995:8]
42705g (1 curve)	1	3- 5+ 13- 73+	-2 3- 5+  1 -3 13- -5  6
Curve Equation t Generators 42705g1 [0,0,1,-9993,-951192] 1 [3599:215824:1]
42705h (2 curves)	2	3- 5+ 13- 73-	0 3- 5+ -1  3 13- -3 -4
Curve Equation t Generators 42705h1 [0,0,1,-3558,-270837] 1 [269:4270:1]&[113:877:1] 42705h2 [0,0,1,31542,6719328] 3 [-926:9851:8]&[-22:2452:1]
42705i (4 curves)	1	3- 5- 13+ 73+	1 3- 5-  0  4 13+ -2  4
Curve Equation t Generators 42705i1 [1,-1,0,1341,-11192] 2 [1043610344:-8930348860:27270901] 42705i2 [1,-1,0,-6264,-91805] 4 [-14938:114281:343] 42705i3 [1,-1,0,-48969,4118908] 2 [104:326:1] 42705i4 [1,-1,0,-85239,-9553010] 2 [-5524492498:2149932527:33386248]
42705j (1 curve)	0	3- 5- 13- 73+	0 3- 5- -3  1 13- -3  2
Curve Equation t 42705j1 [0,0,1,70368,-130125488] 1
42705k (1 curve)	0	3- 5- 13- 73+	2 3- 5- -3  3 13-  1  2
Curve Equation t 42705k1 [0,0,1,-748047,257431045] 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