Cremona's table of elliptic curves

56277 = 3² · 13² · 37

Class	r	Atkin-Lehner	Eigenvalues
56277a (2 curves)	0	3+ 13+ 37-	1 3+ -2  4  4 13+  6  6
Curve Equation t 56277a1 [1,-1,0,222,-3145] 2 56277a2 [1,-1,0,-2313,-37114] 2
56277b (2 curves)	0	3+ 13+ 37-	-1 3+  2  4 -4 13+ -6  6
Curve Equation t 56277b1 [1,-1,1,1996,82918] 2 56277b2 [1,-1,1,-20819,1022896] 2
56277c (3 curves)	0	3- 13+ 37+	0 3-  0  1  3 13+ -6 -2
Curve Equation t 56277c1 [0,0,1,-5070,-137862] 1 56277c2 [0,0,1,-35490,2491947] 1 56277c3 [0,0,1,-2849340,1851247674] 1
56277d (1 curve)	0	3- 13+ 37+	0 3-  0 -4  3 13+ -1  3
Curve Equation t 56277d1 [0,0,1,-507000,-215635001] 1
56277e (1 curve)	0	3- 13+ 37+	0 3-  4  1  0 13+  6 -4
Curve Equation t 56277e1 [0,0,1,-858,-9734] 1
56277f (1 curve)	0	3- 13+ 37+	0 3-  4  4 -3 13+ -3 -1
Curve Equation t 56277f1 [0,0,1,165282,5011906] 1
56277g (2 curves)	0	3- 13+ 37+	-1 3- -2  4 -2 13+  8  4
Curve Equation t 56277g1 [1,-1,1,-13721,-585984] 2 56277g2 [1,-1,1,9094,-2356428] 2
56277h (1 curve)	0	3- 13+ 37+	2 3-  0 -1 -4 13+  2 -4
Curve Equation t 56277h1 [0,0,1,32955,-592641] 1
56277i (1 curve)	0	3- 13+ 37+	2 3- -2  1 -2 13+ -4  4
Curve Equation t 56277i1 [0,0,1,85839,18975505] 1
56277j (1 curve)	1	3- 13+ 37-	0 3- -4 -1  0 13+  6  4
Curve Equation t Generators 56277j1 [0,0,1,-145002,-21385049] 1 [511:6160:1]
56277k (2 curves)	1	3- 13+ 37-	1 3-  2 -2  4 13+  4  0
Curve Equation t Generators 56277k1 [1,-1,0,-20989071,-37002081128] 2 [39737529069864:-11091450968073932:510082399] 56277k2 [1,-1,0,-22837086,-30098266691] 2 [575311020:11766771589:103823]
56277l (2 curves)	1	3- 13+ 37-	1 3- -2 -2 -2 13+  6  0
Curve Equation t Generators 56277l1 [1,-1,0,-2575338,-1590097105] 2 [3139862:96765761:1331] 56277l2 [1,-1,0,-2567733,-1599960790] 2 [68912722340:2124513004235:29218112]
56277m (2 curves)	1	3- 13+ 37-	-1 3- -2  2  0 13+ -4 -4
Curve Equation t Generators 56277m1 [1,-1,1,-28931,862346] 2 [322:4824:1] 56277m2 [1,-1,1,-234266,-42997210] 2 [-276:898:1]
56277n (1 curve)	1	3- 13+ 37-	-2 3-  0  1  4 13+  2  4
Curve Equation t Generators 56277n1 [0,0,1,195,-270] 1 [3:18:1]
56277o (1 curve)	1	3- 13+ 37-	-2 3-  2 -1  2 13+ -4 -4
Curve Equation t Generators 56277o1 [0,0,1,14506791,41689185034] 1 [-26394892:36043331:12167]
56277p (1 curve)	1	3- 13+ 37-	-2 3- -2  1 -5 13+  0  0
Curve Equation t Generators 56277p1 [0,0,1,-1521,-14830] 1 [-26:84:1]
56277q (2 curves)	1	3- 13- 37+	2 3- -2  2 -5 13-  3 -1
Curve Equation t Generators 56277q1 [0,0,1,-741,9675] 1 [130:347:8] 56277q2 [0,0,1,-4251,-884673] 1 [25520846:389603101:97336]
56277r (2 curves)	0	3- 13- 37-	-2 3-  2 -2  5 13-  3  1
Curve Equation t 56277r1 [0,0,1,-125229,21256524] 1 56277r2 [0,0,1,-718419,-1943626032] 1

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