Cremona's table of elliptic curves

64050 = 2 · 3 · 5² · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
64050a (4 curves)	1	2+ 3+ 5+ 7+ 61+	2+ 3+ 5+ 7+  4  2 -6 -8
Curve Equation t Generators 64050a1 [1,1,0,-33525,-2371875] 2 [214:451:1] 64050a2 [1,1,0,-46025,-459375] 4 [-85:1730:1] 64050a3 [1,1,0,182725,-3433125] 2 [525:15150:1] 64050a4 [1,1,0,-474775,125164375] 2 [601:7273:1]
64050b (4 curves)	2	2+ 3+ 5+ 7+ 61-	2+ 3+ 5+ 7+  0 -6 -2  4
Curve Equation t Generators 64050b1 [1,1,0,-14500,640000] 2 [-116:940:1]&[-100:1100:1] 64050b2 [1,1,0,-39000,-2128500] 4 [-141:840:1]&[-130:940:1] 64050b3 [1,1,0,102750,-13893750] 2 [54075:-884850:343]&[275:5800:1] 64050b4 [1,1,0,-572750,-167057250] 2 [-435:330:1]&[1815:68205:1]
64050c (1 curve)	0	2+ 3+ 5+ 7+ 61-	2+ 3+ 5+ 7+  1  5  0 -4
Curve Equation t 64050c1 [1,1,0,-11525,898125] 1
64050d (1 curve)	0	2+ 3+ 5+ 7+ 61-	2+ 3+ 5+ 7+  3 -7  0  4
Curve Equation t 64050d1 [1,1,0,140,490] 1
64050e (2 curves)	2	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  0  0 -4 -6
Curve Equation t Generators 64050e1 [1,1,0,-500,0] 2 [-20:60:1]&[-10:205:8] 64050e2 [1,1,0,2000,2500] 2 [0:50:1]&[25:-275:1]
64050f (1 curve)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  2  4  4 -3
Curve Equation t 64050f1 [1,1,0,-6050,184500] 1
64050g (4 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7- -4 -2 -2  0
Curve Equation t 64050g1 [1,1,0,67225,-3278044875] 2 64050g2 [1,1,0,-32700775,-70747356875] 4 64050g3 [1,1,0,-68988775,114648035125] 2 64050g4 [1,1,0,-520700775,-4573523356875] 2
64050h (1 curve)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7- -2  0 -3  0
Curve Equation t Generators 64050h1 [1,1,0,-80,-420] 1 [11:8:1]
64050i (2 curves)	2	2+ 3+ 5- 7+ 61+	2+ 3+ 5- 7+ -2  0  2 -4
Curve Equation t Generators 64050i1 [1,1,0,-2795,55725] 2 [29:-25:1]&[-34:353:1] 64050i2 [1,1,0,-2695,60025] 2 [-50:295:1]&[0:245:1]
64050j (1 curve)	2	2+ 3+ 5- 7+ 61+	2+ 3+ 5- 7+ -2  3 -7 -7
Curve Equation t Generators 64050j1 [1,1,0,1117550,5803976500] 1 [2185:135595:1]&[-770:604135:8]
64050k (1 curve)	0	2+ 3+ 5- 7+ 61+	2+ 3+ 5- 7+ -4 -1  6  0
Curve Equation t 64050k1 [1,1,0,25,-3825] 1
64050l (2 curves)	1	2+ 3+ 5- 7+ 61-	2+ 3+ 5- 7+  0  2 -2  6
Curve Equation t Generators 64050l1 [1,1,0,-35,525] 2 [5:20:1] 64050l2 [1,1,0,-1235,16125] 2 [10:65:1]
64050m (2 curves)	1	2+ 3+ 5- 7+ 61-	2+ 3+ 5- 7+  2  1 -3  5
Curve Equation t Generators 64050m1 [1,1,0,-673200,-220659750] 1 [1389:38376:1] 64050m2 [1,1,0,2719925,12010412125] 1 [-70741:145020956:1331]
64050n (2 curves)	1	2+ 3+ 5- 7+ 61-	2+ 3+ 5- 7+  2 -4  7  0
Curve Equation t Generators 64050n1 [1,1,0,-87250,-9971600] 1 [955:27430:1] 64050n2 [1,1,0,624925,141322125] 1 [785:33020:1]
64050o (1 curve)	0	2+ 3+ 5- 7- 61-	2+ 3+ 5- 7- -5 -6 -4  2
Curve Equation t 64050o1 [1,1,0,-744200,-247416000] 1
64050p (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+  1 -1  4  8
Curve Equation t 64050p1 [1,0,1,-13548251,20694449648] 1
64050q (2 curves)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+  2 -6  6  4
Curve Equation t 64050q1 [1,0,1,-1036526,-406224052] 2 64050q2 [1,0,1,-950776,-476196052] 2
64050r (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+ -2  4  4 -5
Curve Equation t 64050r1 [1,0,1,3874,317648] 1
64050s (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+ -3 -1  0 -4
Curve Equation t 64050s1 [1,0,1,-835276,677874698] 1
64050t (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+ -4  2 -4  1
Curve Equation t 64050t1 [1,0,1,-276,-6302] 1
64050u (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+ -4  6  3 -2
Curve Equation t 64050u1 [1,0,1,-96576,11590798] 1
64050v (2 curves)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+  6  2  6 -4
Curve Equation t 64050v1 [1,0,1,-8041526,8776525448] 2 64050v2 [1,0,1,-8034526,8792569448] 2
64050w (2 curves)	1	2+ 3- 5+ 7+ 61-	2+ 3- 5+ 7+ -2  6 -2 -4
Curve Equation t Generators 64050w1 [1,0,1,-33876,2370898] 2 [92:141:1] 64050w2 [1,0,1,-5876,6178898] 2 [-118:2346:1]
64050x (1 curve)	1	2+ 3- 5+ 7+ 61-	2+ 3- 5+ 7+  4  0  7  2
Curve Equation t Generators 64050x1 [1,0,1,6324,29248] 1 [8:279:1]
64050y (1 curve)	1	2+ 3- 5+ 7- 61+	2+ 3- 5+ 7- -3  1 -6 -6
Curve Equation t Generators 64050y1 [1,0,1,-988151,377997698] 1 [702:-5864:1]
64050z (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  1 -3  0 -4
Curve Equation t 64050z1 [1,0,1,44474,-789016552] 1
64050ba (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  1  6  0 -2
Curve Equation t 64050ba1 [1,0,1,-80951,9234548] 1
64050bb (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7- -2  0  1 -8
Curve Equation t 64050bb1 [1,0,1,-500326,700517048] 1
64050bc (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7- -2 -3  3  7
Curve Equation t 64050bc1 [1,0,1,143145874,-31559124768352] 1
64050bd (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  4  0  3  2
Curve Equation t 64050bd1 [1,0,1,-139926,-30741752] 1
64050be (4 curves)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  4  6 -6 -8
Curve Equation t 64050be1 [1,0,1,-54001,-4633852] 2 64050be2 [1,0,1,-854001,-303833852] 4 64050be3 [1,0,1,-844001,-311293852] 4 64050be4 [1,0,1,-13664001,-19441973852] 2
64050bf (6 curves)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  4 -6  6 -4
Curve Equation t 64050bf1 [1,0,1,-94369376,352806228398] 2 64050bf2 [1,0,1,-102561376,287925588398] 4 64050bf3 [1,0,1,266366624,1887597396398] 2 64050bf4 [1,0,1,-602561376,-5464074411602] 4 64050bf5 [1,0,1,327688624,-20809478411602] 4 64050bf6 [1,0,1,-9532811376,-358244670411602] 2
64050bg (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7- -4  3  2  0
Curve Equation t 64050bg1 [1,0,1,-2766,-60032] 1
64050bh (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  5 -3 -4  0
Curve Equation t 64050bh1 [1,0,1,249,148] 1
64050bi (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7- -5 -3  0  4
Curve Equation t 64050bi1 [1,0,1,139674,-39562952] 1
64050bj (2 curves)	0	2+ 3- 5- 7- 61+	2+ 3- 5- 7-  0  6  6 -4
Curve Equation t 64050bj1 [1,0,1,13674,326548] 2 64050bj2 [1,0,1,-62576,2766548] 2
64050bk (1 curve)	0	2+ 3- 5- 7- 61+	2+ 3- 5- 7- -3  1  4  4
Curve Equation t 64050bk1 [1,0,1,-13276,-822502] 1
64050bl (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  0 -4 -2 -8
Curve Equation t Generators 64050bl1 [1,0,1,-41372356,82621097858] 2 [-7028:165581:1] 64050bl2 [1,0,1,-206080956,-1065068426942] 2 [-9772:-120138:1]
64050bm (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  4 -4 -2  0
Curve Equation t Generators 64050bm1 [1,0,1,-81,208] 2 [-7:24:1] 64050bm2 [1,0,1,-431,-3292] 2 [-12:19:1]
64050bn (1 curve)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7- -6  5  1  1
Curve Equation t Generators 64050bn1 [1,0,1,-27576,1777798] 1 [2:1311:1]
64050bo (1 curve)	0	2- 3+ 5+ 7+ 61+	2- 3+ 5+ 7+ -3 -1 -4  4
Curve Equation t 64050bo1 [1,1,1,-331888,-102812719] 1
64050bp (4 curves)	0	2- 3+ 5+ 7+ 61+	2- 3+ 5+ 7+  4 -6  2 -4
Curve Equation t 64050bp1 [1,1,1,812,-4219] 2 64050bp2 [1,1,1,-3688,-40219] 4 64050bp3 [1,1,1,-29938,1954781] 2 64050bp4 [1,1,1,-49438,-4249219] 2
64050bq (2 curves)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  0 -2  0 -1
Curve Equation t Generators 64050bq1 [1,1,1,150087,-10638969] 1 [69:192:1] 64050bq2 [1,1,1,-2808288,-1851262719] 1 [1941:2933:1]
64050br (4 curves)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  0  4  0  2
Curve Equation t Generators 64050br1 [1,1,1,-277563,55438281] 2 [255:1022:1] 64050br2 [1,1,1,-27563,151938281] 2 [-475:7862:1] 64050br3 [1,1,1,-2311938,-1327017969] 2 [-795:3447:1] 64050br4 [1,1,1,248062,-4102057969] 2 [1625:23587:1]
64050bs (2 curves)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  0  4 -3  2
Curve Equation t Generators 64050bs1 [1,1,1,-32788,2557781] 1 [-11:1713:1] 64050bs2 [1,1,1,218837,-8879719] 1 [1939:86838:1]
64050bt (3 curves)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  3 -5 -6  2
Curve Equation t Generators 64050bt1 [1,1,1,-2013,41781] 1 [390:1801:8] 64050bt2 [1,1,1,14862,-342969] 1 [375:7437:1] 64050bt3 [1,1,1,-282513,-59085969] 1 [615:192:1]
64050bu (2 curves)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  6  4  0 -7
Curve Equation t Generators 64050bu1 [1,1,1,-4613,-145969] 1 [3719:224938:1] 64050bu2 [1,1,1,-393488,-95168719] 1 [768309151:45907237127:205379]
64050bv (1 curve)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7- -1  1 -2  6
Curve Equation t Generators 64050bv1 [1,1,1,612,38781] 1 [45:377:1]
64050bw (1 curve)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7-  2  1  1  3
Curve Equation t Generators 64050bw1 [1,1,1,-8063,-715219] 1 [165:1492:1]
64050bx (2 curves)	0	2- 3+ 5+ 7- 61-	2- 3+ 5+ 7- -4  4  0  6
Curve Equation t 64050bx1 [1,1,1,-475713,-126267969] 2 64050bx2 [1,1,1,-315713,-212347969] 2
64050by (2 curves)	1	2- 3+ 5- 7+ 61+	2- 3+ 5- 7+  0 -6 -6 -4
Curve Equation t Generators 64050by1 [1,1,1,547,2831] 2 [155:1882:1] 64050by2 [1,1,1,-2503,21131] 2 [-50:1551:8]
64050bz (2 curves)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  0  4  2 -8
Curve Equation t 64050bz1 [1,1,1,-1034308888,10327637232281] 2 64050bz2 [1,1,1,-5152023888,-133133553367719] 2
64050ca (1 curve)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  1 -6  0 -2
Curve Equation t 64050ca1 [1,1,1,-3238,72581] 1
64050cb (1 curve)	2	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+ -2  0 -1 -8
Curve Equation t Generators 64050cb1 [1,1,1,-20013,5596131] 1 [55:-2188:1]&[-145:2412:1]
64050cc (2 curves)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  4  4  2  0
Curve Equation t 64050cc1 [1,1,1,-2013,26031] 2 64050cc2 [1,1,1,-10763,-411469] 2
64050cd (1 curve)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+ -4 -3 -2  0
Curve Equation t 64050cd1 [1,1,1,-69138,-7503969] 1
64050ce (1 curve)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+ -5  3  0  4
Curve Equation t 64050ce1 [1,1,1,5587,-314269] 1
64050cf (1 curve)	2	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+ -6 -5 -1  1
Curve Equation t Generators 64050cf1 [1,1,1,-1103,13781] 1 [15:22:1]&[-21:178:1]
64050cg (1 curve)	2	2- 3+ 5- 7- 61+	2- 3+ 5- 7- -4 -6 -3 -2
Curve Equation t Generators 64050cg1 [1,1,1,-3863,91181] 1 [-570:1121:8]&[25:92:1]
64050ch (4 curves)	1	2- 3- 5+ 7+ 61+	2- 3- 5+ 7+  4 -2 -2  4
Curve Equation t Generators 64050ch1 [1,0,0,-6538,198692] 2 [-28:614:1] 64050ch2 [1,0,0,-14538,-385308] 4 [-78:564:1] 64050ch3 [1,0,0,46462,-2764308] 2 [166:3004:1] 64050ch4 [1,0,0,-203538,-35350308] 2 [-258:204:1]
64050ci (1 curve)	0	2- 3- 5+ 7+ 61-	2- 3- 5+ 7+ -5  6  4  2
Curve Equation t 64050ci1 [1,0,0,-29768,-1979328] 1
64050cj (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  0  4 -3  6
Curve Equation t 64050cj1 [1,0,0,-63,1617] 1
64050ck (2 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  0  4  4  6
Curve Equation t 64050ck1 [1,0,0,-2524470463,31067017739417] 2 64050ck2 [1,0,0,7475529537,216177017739417] 2
64050cl (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  3 -5 -8  0
Curve Equation t 64050cl1 [1,0,0,-162370088,-1198367990208] 1
64050cm (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -4  1 -6  0
Curve Equation t 64050cm1 [1,0,0,612,-479358] 1
64050cn (2 curves)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7-  2  4 -7  0
Curve Equation t Generators 64050cn1 [1,0,0,24997,1130577] 5 [-42:105:1] 64050cn2 [1,0,0,-2181263,-1242087483] 1 [219570:2218827:125]
64050co (1 curve)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7-  2 -4  0  7
Curve Equation t Generators 64050co1 [1,0,0,31937,17117] 1 [38:1115:1]
64050cp (4 curves)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7- -4 -6  2  4
Curve Equation t Generators 64050cp1 [1,0,0,-533938,-48048508] 4 [-628:6614:1] 64050cp2 [1,0,0,-6805938,-6828080508] 4 [-1524:3030:1] 64050cp3 [1,0,0,-5097938,-10338020508] 2 [4576:247030:1] 64050cp4 [1,0,0,-108865938,-437215100508] 2 [17232:-1683066:1]
64050cq (2 curves)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7- -6 -2 -6  4
Curve Equation t Generators 64050cq1 [1,0,0,-1313,-17883] 2 [-154:227:8] 64050cq2 [1,0,0,437,-61633] 2 [2086:32707:8]
64050cr (1 curve)	1	2- 3- 5- 7+ 61-	2- 3- 5- 7+ -2  0  3  0
Curve Equation t Generators 64050cr1 [1,0,0,-2013,-48483] 1 [102:849:1]
64050cs (2 curves)	1	2- 3- 5- 7- 61+	2- 3- 5- 7- -2  0 -2 -4
Curve Equation t Generators 64050cs1 [1,0,0,-69888,7105392] 2 [966:4767:8] 64050cs2 [1,0,0,-67388,7637892] 2 [16:2554:1]
64050ct (1 curve)	1	2- 3- 5- 7- 61+	2- 3- 5- 7- -2 -3  7 -7
Curve Equation t Generators 64050ct1 [1,0,0,44702,46431812] 1 [1652:67214:1]
64050cu (2 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  0 -2  2  6
Curve Equation t 64050cu1 [1,0,0,-888,67392] 2 64050cu2 [1,0,0,-30888,2077392] 2
64050cv (2 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  2 -1  3  5
Curve Equation t 64050cv1 [1,0,0,-26928,-1765278] 1 64050cv2 [1,0,0,108797,96083297] 5
64050cw (1 curve)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  3  7  0  4
Curve Equation t 64050cw1 [1,0,0,3487,54267] 1

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