Cremona's table of elliptic curves

50864 = 2⁴ · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
50864a (2 curves)	1	2+ 11+ 17+	2+  0  0 -2 11+  6 17+ -4
Curve Equation t Generators 50864a1 [0,0,0,-57266795,166802451946] 2 [4707:39182:1] 50864a2 [0,0,0,-57255235,166873159842] 2 [10326251:-87824946:2197]
50864b (1 curve)	1	2+ 11+ 17+	2+  0  0  3 11+ -4 17+  6
Curve Equation t Generators 50864b1 [0,0,0,-5780,-176868] 1 [27812:570197:64]
50864c (2 curves)	1	2+ 11+ 17+	2+  0 -2  2 11+  6 17+ -4
Curve Equation t Generators 50864c1 [0,0,0,-731,7514] 2 [19:22:1] 50864c2 [0,0,0,-1411,-8670] 2 [-17:102:1]
50864d (1 curve)	1	2+ 11+ 17+	2+  1  1 -2 11+ -2 17+  8
Curve Equation t Generators 50864d1 [0,1,0,-27840,7458116] 1 [-56:2974:1]
50864e (1 curve)	1	2+ 11+ 17+	2+  1 -1 -2 11+ -4 17+  0
Curve Equation t Generators 50864e1 [0,1,0,-654681,-207969709] 1 [2576179625905368210:6439395081641731273:2744411620580343]
50864f (1 curve)	1	2+ 11+ 17+	2+  1 -1  4 11+ -4 17+ -6
Curve Equation t Generators 50864f1 [0,1,0,-11,-124] 1 [4032:2818:729]
50864g (1 curve)	1	2+ 11+ 17+	2+ -1  1  2 11+  2 17+  2
Curve Equation t Generators 50864g1 [0,-1,0,-385,213389] 1 [580:57511:125]
50864h (1 curve)	1	2+ 11+ 17+	2+ -1 -1 -2 11+  6 17+ -2
Curve Equation t Generators 50864h1 [0,-1,0,-11,22] 1 [2:2:1]
50864i (1 curve)	1	2+ 11+ 17+	2+  2  0  3 11+ -2 17+  4
Curve Equation t Generators 50864i1 [0,-1,0,567,-21211] 1 [535240:17301699:512]
50864j (1 curve)	1	2+ 11+ 17+	2+  2  4  2 11+ -1 17+ -1
Curve Equation t Generators 50864j1 [0,-1,0,-96,-352] 1 [69982:492990:1331]
50864k (1 curve)	1	2+ 11+ 17+	2+  3 -3  0 11+ -4 17+  0
Curve Equation t Generators 50864k1 [0,0,0,-1819,-31654] 1 [1353:1486:27]
50864l (1 curve)	1	2+ 11+ 17+	2+ -3  3 -2 11+  0 17+ -4
Curve Equation t Generators 50864l1 [0,0,0,-1156,-19652] 1 [4539:57511:27]
50864m (1 curve)	0	2+ 11+ 17-	2+  1 -2 -2 11+  2 17- -4
Curve Equation t 50864m1 [0,1,0,6551,64051] 1
50864n (1 curve)	0	2+ 11+ 17-	2+ -1  1  2 11+  2 17-  6
Curve Equation t 50864n1 [0,-1,0,-22060,1268528] 1
50864o (1 curve)	0	2+ 11+ 17-	2+ -3  1  4 11+  4 17-  2
Curve Equation t 50864o1 [0,0,0,4913,-167042] 1
50864p (2 curves)	0	2+ 11- 17+	2+  0  2 -2 11-  6 17+ -4
Curve Equation t 50864p1 [0,0,0,-211259,36916282] 2 50864p2 [0,0,0,-407779,-42595710] 2
50864q (2 curves)	0	2+ 11- 17+	2+  0 -4  2 11- -2 17+ -4
Curve Equation t 50864q1 [0,0,0,-197387,-33752310] 2 50864q2 [0,0,0,-185827,-37879230] 2
50864r (1 curve)	0	2+ 11- 17+	2+  1 -1 -2 11-  2 17+  6
Curve Equation t 50864r1 [0,1,0,-6375436,6194025628] 1
50864s (1 curve)	0	2+ 11- 17+	2+ -1  2  2 11-  2 17+ -4
Curve Equation t 50864s1 [0,-1,0,23,5] 1
50864t (1 curve)	0	2+ 11- 17+	2+ -2  0 -3 11- -2 17+  4
Curve Equation t 50864t1 [0,1,0,163767,-103226861] 1
50864u (1 curve)	0	2+ 11- 17+	2+  3 -1 -4 11-  4 17+  2
Curve Equation t 50864u1 [0,0,0,17,-34] 1
50864v (1 curve)	1	2+ 11- 17-	2+  1  1  2 11-  6 17- -2
Curve Equation t Generators 50864v1 [0,1,0,-3275,88616] 1 [6220:28322:125]
50864w (1 curve)	1	2+ 11- 17-	2+ -1  1 -4 11- -4 17- -6
Curve Equation t Generators 50864w1 [0,-1,0,-3275,-589742] 1 [134:1166:1]
50864x (1 curve)	1	2+ 11- 17-	2+ -1 -1  2 11- -2 17-  8
Curve Equation t Generators 50864x1 [0,-1,0,-96,1552] 1 [6:-34:1]
50864y (1 curve)	1	2+ 11- 17-	2+ -2 -4 -2 11- -1 17- -1
Curve Equation t Generators 50864y1 [0,1,0,-27840,-1896236] 1 [468:9370:1]
50864z (1 curve)	1	2+ 11- 17-	2+ -3  3  0 11- -4 17-  0
Curve Equation t Generators 50864z1 [0,0,0,-525691,-155516102] 1 [867:6358:1]
50864ba (2 curves)	0	2- 11+ 17+	2-  0  0 -2 11+ -2 17+  4
Curve Equation t 50864ba1 [0,0,0,-148835,2525282] 2 50864ba2 [0,0,0,591005,20133474] 2
50864bb (1 curve)	0	2- 11+ 17+	2-  0  3 -2 11+ -2 17+ -2
Curve Equation t 50864bb1 [0,0,0,-136,-612] 1
50864bc (1 curve)	0	2- 11+ 17+	2-  0 -4 -5 11+  4 17+ -2
Curve Equation t 50864bc1 [0,0,0,32368,-393040] 1
50864bd (2 curves)	0	2- 11+ 17+	2-  1  3  2 11+ -4 17+ -8
Curve Equation t 50864bd1 [0,1,0,771,9719] 1 50864bd2 [0,1,0,-22349,1285943] 1
50864be (2 curves)	0	2- 11+ 17+	2-  1 -3  2 11+  2 17+  4
Curve Equation t 50864be1 [0,1,0,-232,-1484] 1 50864be2 [0,1,0,1128,-4204] 1
50864bf (2 curves)	0	2- 11+ 17+	2- -2  0  2 11+ -1 17+  7
Curve Equation t 50864bf1 [0,1,0,26832,2196820] 1 50864bf2 [0,1,0,-843568,299316564] 1
50864bg (1 curve)	2	2- 11+ 17+	2- -2 -4 -1 11+ -6 17+ -4
Curve Equation t Generators 50864bg1 [0,1,0,-45,199] 1 [-6:17:1]&[-5:18:1]
50864bh (1 curve)	0	2- 11+ 17+	2-  3 -3 -2 11+ -2 17+ -2
Curve Equation t 50864bh1 [0,0,0,-143344,20890076] 1
50864bi (1 curve)	0	2- 11+ 17+	2- -3  2 -2 11+ -2 17+  4
Curve Equation t 50864bi1 [0,0,0,-4624,-121040] 1
50864bj (1 curve)	0	2- 11+ 17+	2- -3 -3 -2 11+ -2 17+  4
Curve Equation t 50864bj1 [0,0,0,-16250419,25878401266] 1
50864bk (1 curve)	1	2- 11+ 17-	2-  0  1  2 11+ -2 17- -2
Curve Equation t Generators 50864bk1 [0,0,0,78608,4009008] 1 [-3495300330271079:14203135830479901:71333963490817]
50864bl (2 curves)	1	2- 11+ 17-	2-  2  0 -2 11+  5 17-  1
Curve Equation t Generators 50864bl1 [0,-1,0,-2408,103280] 1 [-62:102:1] 50864bl2 [0,-1,0,-256728,50153456] 1 [-502:7230:1]
50864bm (1 curve)	1	2- 11- 17+	2-  0 -1 -2 11- -2 17+ -2
Curve Equation t Generators 50864bm1 [0,0,0,272,816] 1 [1:33:1]
50864bn (2 curves)	1	2- 11- 17+	2-  1 -3  2 11-  2 17+ -2
Curve Equation t Generators 50864bn1 [0,1,0,49323,-8365501] 1 [56030:1274779:125] 50864bn2 [0,1,0,-459317,273929699] 1 [15402433410:404512524613:31255875]
50864bo (3 curves)	1	2- 11- 17+	2- -1 -1 -2 11-  4 17+  0
Curve Equation t Generators 50864bo1 [0,-1,0,-1541,-54803] 1 [3644:219929:1] 50864bo2 [0,-1,0,-47781,7297357] 1 [244:3179:1] 50864bo3 [0,-1,0,-36161221,83709604397] 1 [32156292:41327:9261]
50864bp (1 curve)	1	2- 11- 17+	2-  2  4  1 11- -6 17+ -4
Curve Equation t Generators 50864bp1 [0,-1,0,-13101,1056113] 1 [857:24870:1]
50864bq (2 curves)	1	2- 11- 17+	2- -2  0  2 11-  5 17+  1
Curve Equation t Generators 50864bq1 [0,1,0,-696008,503238772] 1 [364:17270:1] 50864bq2 [0,1,0,-74194488,245958762580] 1 [3740087260:950397930:753571]
50864br (1 curve)	0	2- 11- 17-	2-  0 -3  2 11- -2 17- -2
Curve Equation t 50864br1 [0,0,0,-39304,-3006756] 1
50864bs (2 curves)	0	2- 11- 17-	2- -1  3 -2 11-  2 17-  4
Curve Equation t 50864bs1 [0,-1,0,-67144,-6888208] 1 50864bs2 [0,-1,0,325896,-22609808] 1
50864bt (2 curves)	0	2- 11- 17-	2-  2  0 -2 11- -1 17-  7
Curve Equation t 50864bt1 [0,-1,0,7754352,10746450368] 1 50864bt2 [0,-1,0,-243791248,1472005026240] 1
50864bu (1 curve)	0	2- 11- 17-	2-  3 -2  2 11- -2 17-  4
Curve Equation t 50864bu1 [0,0,0,-1336336,-594669520] 1
50864bv (1 curve)	0	2- 11- 17-	2-  3  3  2 11- -2 17-  4
Curve Equation t 50864bv1 [0,0,0,-4696371091,127140585419858] 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