Cremona's table of elliptic curves

55055 = 5 · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
55055a (1 curve)	1	5+ 7+ 11+ 13+	0  0 5+ 7+ 11+ 13+ -5 -3
Curve Equation t Generators 55055a1 [0,0,1,22,-91] 1 [11:38:1]
55055b (2 curves)	1	5+ 7+ 11+ 13+	-1  2 5+ 7+ 11+ 13+  2  0
Curve Equation t Generators 55055b1 [1,1,1,-68186,9199774] 2 [-7944:57278:27] 55055b2 [1,1,1,-1192881,500916428] 2 [636:-221:1]
55055c (2 curves)	0	5+ 7+ 11+ 13-	1 -2 5+ 7+ 11+ 13-  2  2
Curve Equation t 55055c1 [1,0,1,-424229,106307331] 2 55055c2 [1,0,1,-390954,123690191] 2
55055d (2 curves)	1	5+ 7+ 11- 13-	-1  0 5+ 7+ 11- 13-  6  2
Curve Equation t Generators 55055d1 [1,-1,1,-93193,54085232] 2 [245:6653:1] 55055d2 [1,-1,1,-2790888,1789242656] 2 [517832:-566633:512]
55055e (2 curves)	0	5+ 7- 11+ 13+	-1 -2 5+ 7- 11+ 13+ -2 -2
Curve Equation t 55055e1 [1,0,0,-3506,-80189] 2 55055e2 [1,0,0,-3231,-93224] 2
55055f (1 curve)	1	5+ 7- 11+ 13-	0  0 5+ 7- 11+ 13-  5  3
Curve Equation t Generators 55055f1 [0,0,1,2662,120788] 1 [-726:4645:27]
55055g (2 curves)	1	5+ 7- 11+ 13-	1  2 5+ 7- 11+ 13- -2  0
Curve Equation t Generators 55055g1 [1,1,0,-563,-7168] 2 [33686:2169341:8] 55055g2 [1,1,0,-9858,-380827] 2 [116:173:1]
55055h (4 curves)	0	5+ 7- 11- 13-	-1  0 5+ 7- 11- 13-  2  4
Curve Equation t 55055h1 [1,-1,1,-6073,-129544] 2 55055h2 [1,-1,1,-35718,2502932] 4 55055h3 [1,-1,1,19337,9483906] 2 55055h4 [1,-1,1,-565093,163644682] 2
55055i (2 curves)	0	5- 7+ 11+ 13+	1  2 5- 7+ 11+ 13+ -2 -6
Curve Equation t 55055i1 [1,1,0,-38612,-1414189] 2 55055i2 [1,1,0,133263,-10386064] 2
55055j (2 curves)	1	5- 7+ 11+ 13-	-1 -2 5- 7+ 11+ 13-  2  2
Curve Equation t Generators 55055j1 [1,0,0,-40235,3139192] 2 [806:2259:8] 55055j2 [1,0,0,-645840,199718575] 2 [3718:-1609:8]
55055k (4 curves)	0	5- 7+ 11- 13-	-1  0 5- 7+ 11- 13-  2  0
Curve Equation t 55055k1 [1,-1,1,-3532,63814] 4 55055k2 [1,-1,1,-18657,-922336] 4 55055k3 [1,-1,1,14618,-3877156] 2 55055k4 [1,-1,1,-293932,-61262616] 2
55055l (1 curve)	0	5- 7+ 11- 13-	2  0 5- 7+ 11- 13-  5  3
Curve Equation t 55055l1 [0,0,1,-9022607,10431485897] 1
55055m (1 curve)	0	5- 7+ 11- 13-	-2 -2 5- 7+ 11- 13-  4  5
Curve Equation t 55055m1 [0,1,1,12383210,-83141994094] 1
55055n (1 curve)	0	5- 7+ 11- 13-	-2 -2 5- 7+ 11- 13- -4  1
Curve Equation t 55055n1 [0,1,1,-4880,-393816] 1
55055o (2 curves)	1	5- 7- 11+ 13+	1 -2 5- 7- 11+ 13+ -2 -2
Curve Equation t Generators 55055o1 [1,0,1,-333,-2389] 2 [366:2057:8] 55055o2 [1,0,1,-5338,-150537] 2 [18618:29003:216]
55055p (2 curves)	0	5- 7- 11+ 13-	-1  2 5- 7- 11+ 13-  2  6
Curve Equation t 55055p1 [1,1,1,-4672115,1858925080] 2 55055p2 [1,1,1,16124760,13904475080] 2
55055q (4 curves)	0	5- 7- 11- 13+	1  0 5- 7- 11- 13+  6  0
Curve Equation t 55055q1 [1,-1,0,-8069,-276952] 2 55055q2 [1,-1,0,-8674,-232545] 4 55055q3 [1,-1,0,20971,-1495422] 2 55055q4 [1,-1,0,-47999,3865120] 2
55055r (2 curves)	0	5- 7- 11- 13+	1  0 5- 7- 11- 13+ -6 -6
Curve Equation t 55055r1 [1,-1,0,-104811614,413260903303] 2 55055r2 [1,-1,0,-1677237469,26439110199750] 2
55055s (1 curve)	0	5- 7- 11- 13+	2 -2 5- 7- 11- 13+  4 -1
Curve Equation t 55055s1 [0,1,1,-40,281] 1
55055t (1 curve)	0	5- 7- 11- 13+	2 -2 5- 7- 11- 13+ -4 -5
Curve Equation t 55055t1 [0,1,1,1498368370,110667987612309] 1
55055u (4 curves)	1	5- 7- 11- 13-	-1  0 5- 7- 11- 13-  2 -8
Curve Equation t Generators 55055u1 [1,-1,1,85403,-216111156] 4 [4446:11083:8] 55055u2 [1,-1,1,-4924602,-4091851024] 4 [-70956:167941:64] 55055u3 [1,-1,1,-11806477,9872849726] 2 [5072988:-41475193:1728] 55055u4 [1,-1,1,-78202807,-266164023386] 2 [78831402:47569997941:216]
55055v (1 curve)	1	5- 7- 11- 13-	2  0 5- 7- 11- 13-  5 -5
Curve Equation t Generators 55055v1 [0,0,1,-134540747,-974821405583] 1 [16258902:4402328977:216]

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

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