Cremona's table of elliptic curves

51546 = 2 · 3 · 11² · 71

Class	r	Atkin-Lehner	Eigenvalues
51546a (1 curve)	1	2+ 3+ 11- 71-	2+ 3+  2  0 11-  0  7  4
Curve Equation t Generators 51546a1 [1,1,0,7016,4228] 1 [384:7522:1]
51546b (2 curves)	1	2+ 3+ 11- 71-	2+ 3+  2 -2 11-  6  4 -4
Curve Equation t Generators 51546b1 [1,1,0,18844296,943250230080] 2 [29734273500880:27980143047184024:28512391375] 51546b2 [1,1,0,-1336045944,18332182548288] 2 [8427412240:681347956424:274625]
51546c (4 curves)	1	2+ 3- 11- 71+	2+ 3- -2 -4 11-  2  2  4
Curve Equation t Generators 51546c1 [1,0,1,15848,376550] 2 [25:875:1] 51546c2 [1,0,1,-71272,3164390] 4 [388:5633:1] 51546c3 [1,0,1,-586732,-170854906] 2 [373632:-7724165:343] 51546c4 [1,0,1,-949732,355953926] 2 [-45:19987:1]
51546d (2 curves)	0	2+ 3- 11- 71-	2+ 3-  1 -3 11-  6  2 -5
Curve Equation t 51546d1 [1,0,1,-2423,-66310] 1 51546d2 [1,0,1,-27833,6896030] 1
51546e (2 curves)	1	2- 3+ 11- 71+	2- 3+ -2 -2 11-  0  0  4
Curve Equation t Generators 51546e1 [1,1,1,-34669,-2542429] 2 [323:4320:1] 51546e2 [1,1,1,-557389,-160403869] 2 [1291:35044:1]
51546f (1 curve)	0	2- 3+ 11- 71-	2- 3+  2  0 11-  0 -7 -4
Curve Equation t 51546f1 [1,1,1,58,23] 1
51546g (4 curves)	0	2- 3+ 11- 71-	2- 3+ -2  0 11-  2 -2  0
Curve Equation t 51546g1 [1,1,1,313206,92354967] 2 51546g2 [1,1,1,-2164874,946796951] 4 51546g3 [1,1,1,-11573834,-14355935593] 2 51546g4 [1,1,1,-32405194,70983378071] 2
51546h (2 curves)	0	2- 3- 11- 71+	2- 3-  3  1 11- -2  6 -5
Curve Equation t 51546h1 [1,0,0,-2783789,-1788562863] 1 51546h2 [1,0,0,1773676,-6858669168] 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