Cremona's table of elliptic curves

55506 = 2 · 3 · 11 · 29²

Class	r	Atkin-Lehner	Eigenvalues
55506a (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+  1  3 11+ -1  2 -5
Curve Equation t Generators 55506a1 [1,1,0,-492002,145196148] 1 [5599:413075:1] 55506a2 [1,1,0,214438,-10447871652] 1 [237456243161810575:17219016235214161691:42235085265625]
55506b (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+  1  3 11+  4 -3  5
Curve Equation t Generators 55506b1 [1,1,0,-182791367,951146456277] 1 [6600013:729050783:343] 55506b2 [1,1,0,454594123,5063638701747] 1 [276565877419932946953782042620525:86298392913923945669103042856379411:25903976425064882907477203125]
55506c (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+  4  0 11+ -2  6  2
Curve Equation t Generators 55506c1 [1,1,0,7552,-673620] 2 [13110:1494630:1] 55506c2 [1,1,0,-84958,-8536970] 2 [44251035:5043823423:3375]
55506d (4 curves)	1	2+ 3+ 11+ 29+	2+ 3+ -4 -2 11+  4  2  0
Curve Equation t Generators 55506d1 [1,1,0,-37862,2051220] 2 [-201:1362:1] 55506d2 [1,1,0,96698,13488820] 2 [-2643:48838:27] 55506d3 [1,1,0,-8464682,-9482561760] 2 [-57675406425:28446626859:34328125] 55506d4 [1,1,0,-8456272,-9502333670] 2 [3882224252504325:-417477908449596301:317912765625]
55506e (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+  1 -1 11+  0 -3 -5
Curve Equation t 55506e1 [1,1,0,-13782992,-20317686528] 1
55506f (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+  1 -1 11+ -7  4 -5
Curve Equation t 55506f1 [1,1,0,46238,2322022] 1
55506g (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+  2  4 11+ -4  6  4
Curve Equation t 55506g1 [1,1,0,41,-95] 2 55506g2 [1,1,0,-249,-1197] 2
55506h (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -2 -4 11+  0  6  4
Curve Equation t 55506h1 [1,1,0,-16196836,27470238160] 2 55506h2 [1,1,0,-265940196,1669133240784] 2
55506i (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+ -3 -1 11+  1 -4 -1
Curve Equation t 55506i1 [1,1,0,210450141,2357773069581] 1
55506j (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+  4  3 11+  2 -1  2
Curve Equation t 55506j1 [1,1,0,-547508,148637520] 1
55506k (4 curves)	0	2+ 3+ 11- 29+	2+ 3+  0 -4 11- -4  6  4
Curve Equation t 55506k1 [1,1,0,-3858525,2912934717] 2 55506k2 [1,1,0,-4834085,1324918149] 2 55506k3 [1,1,0,-14303745,-17777411199] 2 55506k4 [1,1,0,-219415235,-1251030755973] 2
55506l (2 curves)	0	2+ 3+ 11- 29+	2+ 3+ -3 -1 11- -4 -3  1
Curve Equation t 55506l1 [1,1,0,784636,-449131824] 1 55506l2 [1,1,0,-29895044,-63107695536] 1
55506m (2 curves)	0	2+ 3- 11+ 29+	2+ 3- -2 -2 11+  2 -2  0
Curve Equation t 55506m1 [1,0,1,-499572,-88459406] 2 55506m2 [1,0,1,1451548,-609798670] 2
55506n (1 curve)	1	2+ 3- 11- 29+	2+ 3-  1  1 11-  5 -2  3
Curve Equation t Generators 55506n1 [1,0,1,770200397,-4196703975346] 1 [532014:147490961:8]
55506o (1 curve)	1	2+ 3- 11- 29+	2+ 3- -1 -1 11-  0  1 -1
Curve Equation t Generators 55506o1 [1,0,1,545791,-86614252] 1 [11322:1201594:1]
55506p (1 curve)	1	2+ 3- 11- 29+	2+ 3- -1  5 11- -3 -2 -7
Curve Equation t Generators 55506p1 [1,0,1,-236339,44228528] 1 [109676:347409:343]
55506q (4 curves)	1	2+ 3- 11- 29+	2+ 3-  2 -4 11- -6 -2 -4
Curve Equation t Generators 55506q1 [1,0,1,-1700,338] 2 [-1068:2623:27] 55506q2 [1,0,1,-18520,-968494] 4 [1774:73610:1] 55506q3 [1,0,1,-10110,-1849862] 2 [158:630:1] 55506q4 [1,0,1,-296050,-62025094] 2 [620256:-25320497:343]
55506r (1 curve)	1	2+ 3- 11- 29+	2+ 3- -2 -3 11- -4  1 -2
Curve Equation t Generators 55506r1 [1,0,1,-337,-1924] 1 [-8:20:1]
55506s (2 curves)	1	2+ 3- 11- 29+	2+ 3-  4  0 11-  2 -2 -2
Curve Equation t Generators 55506s1 [1,0,1,-467614,-1668908656] 2 [5836127:374925751:1331] 55506s2 [1,0,1,-24150174,-45339549296] 2 [986392220:22966877832:166375]
55506t (2 curves)	1	2+ 3- 11- 29+	2+ 3- -4 -4 11-  0 -2  8
Curve Equation t Generators 55506t1 [1,0,1,-526058133,-2619037276448] 2 [-1858612:93229305:343] 55506t2 [1,0,1,-3807841973,88594862772512] 2 [4536:8448520:1]
55506u (1 curve)	0	2+ 3- 11- 29-	2+ 3-  0  3 11- -2  3  2
Curve Equation t 55506u1 [1,0,1,-612266,-179395054] 1
55506v (1 curve)	0	2+ 3- 11- 29-	2+ 3- -1 -3 11- -1  0  1
Curve Equation t 55506v1 [1,0,1,-17050035384,-857354393856122] 1
55506w (1 curve)	0	2+ 3- 11- 29-	2+ 3-  3 -1 11-  4  1  1
Curve Equation t 55506w1 [1,0,1,3070473,-2076664142] 1
55506x (1 curve)	0	2- 3+ 11+ 29+	2- 3+  0  3 11+ -2 -3 -2
Curve Equation t 55506x1 [1,1,1,-728,-7657] 1
55506y (4 curves)	0	2- 3+ 11+ 29+	2- 3+ -2  0 11+  2  2  4
Curve Equation t 55506y1 [1,1,1,32361,3355821] 4 55506y2 [1,1,1,-236759,35111981] 4 55506y3 [1,1,1,-1212319,-483495715] 2 55506y4 [1,1,1,-3567119,2591496317] 2
55506z (1 curve)	0	2- 3+ 11+ 29+	2- 3+  3 -3 11+  1  6 -5
Curve Equation t 55506z1 [1,1,1,2926,-194881] 1
55506ba (1 curve)	1	2- 3+ 11+ 29-	2- 3+ -1 -3 11+ -1  0 -1
Curve Equation t Generators 55506ba1 [1,1,1,-20273526,-35161712013] 1 [8673:660111:1]
55506bb (1 curve)	1	2- 3+ 11+ 29-	2- 3+ -2 -3 11+ -4 -1  2
Curve Equation t Generators 55506bb1 [1,1,1,-283014,-46352325] 1 [4555:303005:1]
55506bc (1 curve)	1	2- 3+ 11+ 29-	2- 3+  3 -1 11+  4 -1 -1
Curve Equation t Generators 55506bc1 [1,1,1,3651,-83637] 1 [654:6687:8]
55506bd (4 curves)	1	2- 3+ 11- 29+	2- 3+  0  2 11- -4  6  4
Curve Equation t Generators 55506bd1 [1,1,1,-4643,112925] 2 [16790:191263:1000] 55506bd2 [1,1,1,3767,486329] 2 [46358970:-663885179:343000] 55506bd3 [1,1,1,-67718,-6784957] 2 [1307:45601:1] 55506bd4 [1,1,1,-34078,-13486045] 2 [491:9159:1]
55506be (2 curves)	1	2- 3- 11+ 29+	2- 3-  0  0 11+  0  2  4
Curve Equation t Generators 55506be1 [1,0,0,-6707413,6209857505] 2 [-46:80759:1] 55506be2 [1,0,0,-22316373,-33346368927] 2 [-1728:8433:1]
55506bf (2 curves)	0	2- 3- 11- 29+	2- 3-  0  0 11-  6  2 -2
Curve Equation t 55506bf1 [1,0,0,-11938433,15882871305] 2 55506bf2 [1,0,0,-191037793,1016296076393] 2
55506bg (1 curve)	0	2- 3- 11- 29+	2- 3-  1  3 11- -4 -5  7
Curve Equation t 55506bg1 [1,0,0,-6325,391193] 1
55506bh (1 curve)	0	2- 3- 11- 29+	2- 3- -3  3 11-  3  2  1
Curve Equation t 55506bh1 [1,0,0,-37442,-15502866] 1
55506bi (1 curve)	0	2- 3- 11- 29+	2- 3-  4  3 11-  2  1 -2
Curve Equation t 55506bi1 [1,0,0,-460454666,3630645929508] 1
55506bj (1 curve)	1	2- 3- 11- 29-	2- 3-  1 -1 11-  0  3  5
Curve Equation t Generators 55506bj1 [1,0,0,-11591496710,-495388958772636] 1 [206956:-77367830:1]
55506bk (1 curve)	1	2- 3- 11- 29-	2- 3-  1 -1 11- -7 -4  5
Curve Equation t Generators 55506bk1 [1,0,0,55,99] 1 [38:155:8]
55506bl (2 curves)	1	2- 3- 11- 29-	2- 3-  2  4 11- -4 -6 -4
Curve Equation t Generators 55506bl1 [1,0,0,34043,-2727235] 2 [190169646173567025784:4806065474238231459823:308773221421723136] 55506bl2 [1,0,0,-209847,-26677233] 2 [18403259622:898605612531:7301384]
55506bm (2 curves)	1	2- 3- 11- 29-	2- 3- -2 -4 11-  0 -6 -4
Curve Equation t Generators 55506bm1 [1,0,0,-19259,1125009] 2 [70:-383:1] 55506bm2 [1,0,0,-316219,68416145] 2 [302:545:1]
55506bn (1 curve)	1	2- 3- 11- 29-	2- 3- -3 -1 11-  1  4  1
Curve Equation t Generators 55506bn1 [1,0,0,250238,96690884] 1 [-220:5678:1]

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