Cremona's table of elliptic curves

41340 = 2² · 3 · 5 · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
41340a (2 curves)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+  2  0 13- -2  8
Curve Equation t Generators 41340a1 [0,-1,0,-161,-510] 2 [-7:15:1] 41340a2 [0,-1,0,-956,11256] 2 [34:130:1]
41340b (1 curve)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+ -4  1 13-  2  8
Curve Equation t Generators 41340b1 [0,-1,0,-356,18600] 1 [26:162:1]
41340c (2 curves)	0	2- 3+ 5- 13+ 53-	2- 3+ 5-  0  6 13+ -2 -4
Curve Equation t 41340c1 [0,-1,0,-194065,-32840930] 2 41340c2 [0,-1,0,-194020,-32856968] 2
41340d (2 curves)	1	2- 3- 5- 13+ 53-	2- 3- 5-  4 -2 13+ -2  0
Curve Equation t Generators 41340d1 [0,1,0,-905,-6792] 2 [-17:63:1] 41340d2 [0,1,0,2740,-44700] 2 [28:234:1]
41340e (4 curves)	1	2- 3- 5- 13- 53+	2- 3- 5-  2  0 13-  6 -4
Curve Equation t Generators 41340e1 [0,1,0,-68185,6829208] 6 [-289:1575:1] 41340e2 [0,1,0,-75340,5300900] 6 [-16:2550:1] 41340e3 [0,1,0,-167185,-16982092] 2 [-332:1428:1] 41340e4 [0,1,0,-2400340,-1431909100] 2 [-19793732:-8569275:21952]
41340f (2 curves)	0	2- 3- 5- 13- 53-	2- 3- 5-  2  0 13-  3  2
Curve Equation t 41340f1 [0,1,0,-8125,-362977] 3 41340f2 [0,1,0,-707725,-229399297] 1

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

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