Cremona's table of elliptic curves

1740 = 2² · 3 · 5 · 29

Class	r	Atkin-Lehner	Eigenvalues
1740a (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  0 -6  6  4  2
Curve Equation t Generators 1740a1 [0,-1,0,-741,-7434] 2 [-15:9:1] 1740a2 [0,-1,0,-116,-20184] 2 [58:406:1]
1740b (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  2 -4  2 -8 -4
Curve Equation t Generators 1740b1 [0,-1,0,-125,570] 2 [2:18:1] 1740b2 [0,-1,0,20,1672] 2 [9:50:1]
1740c (1 curve)	0	2- 3+ 5- 29-	2- 3+ 5- -2  3 -2 -4  6
Curve Equation t 1740c1 [0,-1,0,-5,-15] 1
1740d (1 curve)	0	2- 3+ 5- 29-	2- 3+ 5-  3  3  3  1 -4
Curve Equation t 1740d1 [0,-1,0,-221270,-40230975] 1
1740e (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -1 -3 -1  3 -4
Curve Equation t Generators 1740e1 [0,1,0,54,729] 3 [-6:15:1] 1740e2 [0,1,0,-486,-20115] 1 [57:375:1]
1740f (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  4  2  0  4
Curve Equation t 1740f1 [0,1,0,-84365,-9459912] 2 1740f2 [0,1,0,-84220,-9493900] 2
1740g (1 curve)	0	2- 3- 5- 29+	2- 3- 5- -5  5 -5  7  0
Curve Equation t 1740g1 [0,1,0,-30,-75] 1
1740h (1 curve)	1	2- 3- 5- 29-	2- 3- 5- -3 -3  1 -3 -6
Curve Equation t Generators 1740h1 [0,1,0,-190,1025] 1 [-10:45:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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