Cremona's table of elliptic curves

42273 = 3² · 7 · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
42273a (1 curve)	1	3- 7+ 11- 61+	0 3- -2 7+ 11-  2  7  6
Curve Equation t Generators 42273a1 [0,0,1,954,-13993] 1 [45:346:1]
42273b (4 curves)	1	3- 7- 11+ 61+	1 3- -2 7- 11+ -6  2  0
Curve Equation t Generators 42273b1 [1,-1,0,-603,1080] 2 [-24:48:1] 42273b2 [1,-1,0,-6048,-178605] 4 [9870:340935:8] 42273b3 [1,-1,0,-2583,-384426] 2 [809220:-5346501:8000] 42273b4 [1,-1,0,-96633,-11537964] 2 [-8362188:4154239:46656]
42273c (1 curve)	0	3- 7- 11+ 61-	1 3-  3 7- 11+  6 -4  7
Curve Equation t 42273c1 [1,-1,0,-1008,13797] 1
42273d (4 curves)	0	3- 7- 11+ 61-	-1 3-  2 7- 11+ -2  6  4
Curve Equation t 42273d1 [1,-1,1,-884,-9890] 2 42273d2 [1,-1,1,-929,-8792] 4 42273d3 [1,-1,1,1816,-52712] 2 42273d4 [1,-1,1,-4394,104860] 2
42273e (1 curve)	0	3- 7- 11+ 61-	2 3-  1 7- 11+  2 -2 -5
Curve Equation t 42273e1 [0,0,1,-507,6723] 1
42273f (2 curves)	0	3- 7- 11+ 61-	2 3- -1 7- 11+ -6  2  5
Curve Equation t 42273f1 [0,0,1,-58413,-5434335] 1 42273f2 [0,0,1,317697,-8358165] 1
42273g (2 curves)	1	3- 7- 11- 61-	-1 3- -2 7- 11-  2 -2 -2
Curve Equation t Generators 42273g1 [1,-1,1,11254,-172024] 2 [96:-1385:1] 42273g2 [1,-1,1,-48281,-1386538] 2 [474:-9296:1]
42273h (1 curve)	1	3- 7- 11- 61-	-2 3- -1 7- 11-  2 -2 -2
Curve Equation t Generators 42273h1 [0,0,1,-5043,138442] 1 [20:213:1]

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

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