Cremona's table of elliptic curves

742 = 2 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
742a (1 curve)	1	2+ 7+ 53+	2+  0 -1 7+  3  4 -3  0
Curve Equation t Generators 742a1 [1,-1,0,-5,7] 1 [3:2:1]
742b (2 curves)	0	2+ 7+ 53-	2+  2  4 7+ -4  2  6  2
Curve Equation t 742b1 [1,1,0,-63,245] 2 742b2 [1,1,0,-1123,14025] 2
742c (1 curve)	0	2+ 7- 53+	2+  0  3 7-  3  4  1  0
Curve Equation t 742c1 [1,-1,0,727,11853] 1
742d (1 curve)	0	2+ 7- 53+	2+  3  0 7-  0  1  1 -3
Curve Equation t 742d1 [1,-1,0,3668,-767536] 1
742e (2 curves)	1	2+ 7- 53-	2+  2 -4 7-  0 -4 -2  6
Curve Equation t Generators 742e1 [1,1,0,-29612,2027600] 2 [277:3757:1] 742e2 [1,1,0,-479052,127421360] 2 [383:365:1]
742f (1 curve)	0	2- 7+ 53+	2-  3 -2 7+  2  1  3  1
Curve Equation t 742f1 [1,-1,1,-81,11797] 1
742g (1 curve)	1	2- 7- 53+	2- -1 -2 7- -6  5 -1 -3
Curve Equation t Generators 742g1 [1,1,1,-14,75] 1 [9:-33:1]

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

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