Cremona's table of elliptic curves

56416 = 2⁵ · 41 · 43

Class	r	Atkin-Lehner	Eigenvalues
56416a (1 curve)	1	2+ 41+ 43+	2+  0  1  0 -3  5  4  4
Curve Equation t Generators 56416a1 [0,0,0,13,42] 1 [26:134:1]
56416b (1 curve)	1	2+ 41+ 43+	2+  0 -2  3 -2 -4  0  5
Curve Equation t Generators 56416b1 [0,0,0,-136,624] 1 [4:12:1]
56416c (1 curve)	1	2+ 41+ 43+	2+  1 -2 -3  0  2 -6  4
Curve Equation t Generators 56416c1 [0,1,0,-834,-9580] 1 [262:4222:1]
56416d (1 curve)	1	2+ 41+ 43+	2+  1  4 -3  0  2  0  1
Curve Equation t Generators 56416d1 [0,1,0,499,3707] 1 [505:9524:125]
56416e (1 curve)	1	2+ 41+ 43+	2+  3  2  3  0 -6 -6 -4
Curve Equation t Generators 56416e1 [0,0,0,11,8] 1 [3:82:27]
56416f (1 curve)	0	2+ 41+ 43-	2+  0  1  0  3  5  4 -4
Curve Equation t 56416f1 [0,0,0,13,-42] 1
56416g (1 curve)	2	2+ 41+ 43-	2+ -1 -2  3  0  2 -6 -4
Curve Equation t Generators 56416g1 [0,-1,0,-834,9580] 1 [-2:106:1]&[28:86:1]
56416h (1 curve)	0	2+ 41+ 43-	2+ -1  4  3  0  2  0 -1
Curve Equation t 56416h1 [0,-1,0,499,-3707] 1
56416i (1 curve)	2	2+ 41+ 43-	2+ -3  2 -3  0 -6 -6  4
Curve Equation t Generators 56416i1 [0,0,0,11,-8] 1 [1:2:1]&[4:10:1]
56416j (1 curve)	0	2+ 41- 43+	2+  2 -3  0  1  1 -8  4
Curve Equation t 56416j1 [0,-1,0,-344392,-150669036] 1
56416k (4 curves)	1	2+ 41- 43-	2+  0  2  0 -4 -6  2 -8
Curve Equation t Generators 56416k1 [0,0,0,-589,-5460] 4 [-10303797:-3625440:704969] 56416k2 [0,0,0,-179,-12922] 2 [22503:649558:27] 56416k3 [0,0,0,-1019,3570] 2 [16870:190568:125] 56416k4 [0,0,0,-9404,-351008] 2 [-7740579816896024:-20797032909120:138260593593829]
56416l (1 curve)	1	2+ 41- 43-	2+ -2 -3  0 -1  1 -8 -4
Curve Equation t Generators 56416l1 [0,1,0,-344392,150669036] 1 [495:10086:1]
56416m (1 curve)	0	2- 41+ 43+	2-  3  0 -1 -4  6 -4 -5
Curve Equation t 56416m1 [0,0,0,-280,1808] 1
56416n (1 curve)	1	2- 41+ 43-	2-  0 -2 -3  2 -4  0 -5
Curve Equation t Generators 56416n1 [0,0,0,-136,-624] 1 [16:36:1]
56416o (1 curve)	1	2- 41+ 43-	2- -3  0  1  4  6 -4  5
Curve Equation t Generators 56416o1 [0,0,0,-280,-1808] 1 [108:1108:1]
56416p (4 curves)	1	2- 41- 43+	2-  0  2  0  4 -6  2  8
Curve Equation t Generators 56416p1 [0,0,0,-589,5460] 4 [-19323:36080:729] 56416p2 [0,0,0,-179,12922] 2 [105688230274:-3587134625640:91733851] 56416p3 [0,0,0,-1019,-3570] 2 [2180:2255:64] 56416p4 [0,0,0,-9404,351008] 2 [-106:396:1]

Data from Elliptic Curve Data by J. E. Cremona.
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