Cremona's table of elliptic curves

66640 = 2⁴ · 5 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
66640a (1 curve)	1	2+ 5+ 7+ 17+	2+ -1 5+ 7+  3  1 17+  6
Curve Equation t Generators 66640a1 [0,-1,0,-39216,3026416] 1 [-114:2450:1]
66640b (2 curves)	0	2+ 5+ 7- 17+	2+  0 5+ 7-  2 -2 17+ -4
Curve Equation t 66640b1 [0,0,0,-343,-100842] 2 66640b2 [0,0,0,-34643,-2453822] 2
66640c (1 curve)	2	2+ 5+ 7- 17+	2+ -1 5+ 7- -4  1 17+ -1
Curve Equation t Generators 66640c1 [0,-1,0,-16,-6880] 1 [20:20:1]&[26:98:1]
66640d (1 curve)	0	2+ 5+ 7- 17+	2+ -1 5+ 7- -4 -4 17+  4
Curve Equation t 66640d1 [0,-1,0,-6281,-189419] 1
66640e (2 curves)	0	2+ 5+ 7- 17+	2+  2 5+ 7-  2 -2 17+  8
Curve Equation t 66640e1 [0,-1,0,-173476,-27752640] 2 66640e2 [0,-1,0,-172496,-28082704] 2
66640f (1 curve)	0	2+ 5+ 7- 17+	2+  2 5+ 7-  2 -7 17+ -2
Curve Equation t 66640f1 [0,-1,0,-87481,9993285] 1
66640g (1 curve)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -3 -1 17- -7
Curve Equation t Generators 66640g1 [0,0,0,-1043,12978] 1 [23:34:1]
66640h (2 curves)	1	2+ 5+ 7- 17-	2+  0 5+ 7-  6 -4 17-  2
Curve Equation t Generators 66640h1 [0,0,0,-79723,-9382422] 2 [1211:40866:1] 66640h2 [0,0,0,-1304723,-573617422] 2 [2429:102900:1]
66640i (1 curve)	1	2+ 5+ 7- 17-	2+  3 5+ 7- -6  1 17-  5
Curve Equation t Generators 66640i1 [0,0,0,-91483,-12236182] 1 [111747:7169212:27]
66640j (1 curve)	1	2+ 5+ 7- 17-	2+ -3 5+ 7-  6  4 17- -4
Curve Equation t Generators 66640j1 [0,0,0,-28,28] 1 [1:1:1]
66640k (1 curve)	0	2+ 5- 7+ 17+	2+  0 5- 7+ -3  1 17+  7
Curve Equation t 66640k1 [0,0,0,-51107,-4451454] 1
66640l (1 curve)	0	2+ 5- 7+ 17+	2+  3 5- 7+  6 -4 17+  4
Curve Equation t 66640l1 [0,0,0,-1372,-9604] 1
66640m (1 curve)	1	2+ 5- 7+ 17-	2+  1 5- 7+ -4  4 17- -4
Curve Equation t Generators 66640m1 [0,1,0,-307785,65586275] 1 [310:245:1]
66640n (4 curves)	1	2+ 5- 7- 17+	2+  0 5- 7-  0  2 17+ -4
Curve Equation t Generators 66640n1 [0,0,0,-7007,225694] 2 [58:120:1] 66640n2 [0,0,0,-7987,158466] 4 [-13:510:1] 66640n3 [0,0,0,25333,1138074] 2 [-7:980:1] 66640n4 [0,0,0,-56987,-5123734] 2 [287:1470:1]
66640o (2 curves)	0	2+ 5- 7- 17-	2+  0 5- 7-  2  2 17-  4
Curve Equation t 66640o1 [0,0,0,-7,294] 2 66640o2 [0,0,0,-707,7154] 2
66640p (1 curve)	0	2+ 5- 7- 17-	2+  1 5- 7-  3 -1 17- -6
Curve Equation t 66640p1 [0,1,0,-800,-9052] 1
66640q (1 curve)	0	2+ 5- 7- 17-	2+ -1 5- 7- -2 -1 17-  1
Curve Equation t 66640q1 [0,-1,0,-320280,-246751280] 1
66640r (1 curve)	0	2+ 5- 7- 17-	2+  2 5- 7-  2 -1 17-  6
Curve Equation t 66640r1 [0,-1,0,-229385,-44369275] 1
66640s (1 curve)	0	2- 5+ 7+ 17+	2-  1 5+ 7+ -1  1 17+ -6
Curve Equation t 66640s1 [0,1,0,-75060176,250306331540] 1
66640t (1 curve)	0	2- 5+ 7+ 17+	2-  1 5+ 7+  3  1 17+ -6
Curve Equation t 66640t1 [0,1,0,-16,-3116] 1
66640u (1 curve)	0	2- 5+ 7+ 17+	2-  1 5+ 7+  4 -4 17+  4
Curve Equation t 66640u1 [0,1,0,-261,755] 1
66640v (2 curves)	0	2- 5+ 7+ 17+	2- -1 5+ 7+  0 -4 17+  4
Curve Equation t 66640v1 [0,-1,0,-10061,-384719] 1 66640v2 [0,-1,0,-37501,2403185] 1
66640w (2 curves)	0	2- 5+ 7+ 17+	2- -1 5+ 7+ -3  5 17+ -2
Curve Equation t 66640w1 [0,-1,0,43104,-9140480] 1 66640w2 [0,-1,0,-395936,276411136] 1
66640x (1 curve)	0	2- 5+ 7+ 17+	2- -2 5+ 7+  5  1 17+ -3
Curve Equation t 66640x1 [0,1,0,-533136,-201945836] 1
66640y (1 curve)	1	2- 5+ 7+ 17-	2-  0 5+ 7+  1 -1 17- -1
Curve Equation t Generators 66640y1 [0,0,0,6517,10682] 1 [7:238:1]
66640z (2 curves)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  6 -4 17-  4
Curve Equation t Generators 66640z1 [0,-1,0,-2904981,-1904549219] 1 [-12459784044:5866647317:12649337] 66640z2 [0,-1,0,-6636821,3868980445] 1 [-78636254899028130973942860:8456985480399603673310054285:88917869764137234198097]
66640ba (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7-  2 -6 17+  0
Curve Equation t Generators 66640ba1 [0,0,0,6797,-450702] 2 [121:1464:1] 66640ba2 [0,0,0,-63203,-5252702] 2 [8517:67222:27]
66640bb (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7- -6  2 17+ -8
Curve Equation t Generators 66640bb1 [0,0,0,-144403,-22084398] 2 [223839:4360320:343] 66640bb2 [0,0,0,-2339603,-1377400878] 2 [682010721:-27992429270:250047]
66640bc (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7-  2  3 17+  1
Curve Equation t Generators 66640bc1 [0,1,0,409624,-939130060] 1 [3163202:304334528:343]
66640bd (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7- -6  7 17+  5
Curve Equation t Generators 66640bd1 [0,1,0,-33336,-8533036] 1 [622:14552:1] 66640bd2 [0,1,0,-4364936,-3511531276] 1 [1383882366:114341204944:185193]
66640be (1 curve)	1	2- 5+ 7- 17+	2- -1 5+ 7-  2  4 17+  2
Curve Equation t Generators 66640be1 [0,-1,0,-10656,427456] 1 [58:-34:1]
66640bf (1 curve)	1	2- 5+ 7- 17+	2-  2 5+ 7-  2  1 17+  2
Curve Equation t Generators 66640bf1 [0,-1,0,-261,25901] 1 [-86:1323:8]
66640bg (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7-  2  6 17+ -8
Curve Equation t Generators 66640bg1 [0,1,0,-5896,148980] 2 [-68:490:1] 66640bg2 [0,1,0,9784,820084] 2 [-36:650:1]
66640bh (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7-  2  3 17-  0
Curve Equation t 66640bh1 [0,0,0,112,-44688] 1
66640bi (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7- -2 -1 17-  8
Curve Equation t 66640bi1 [0,0,0,-430808,-108842132] 1
66640bj (2 curves)	0	2- 5+ 7- 17-	2-  0 5+ 7-  4  2 17- -4
Curve Equation t 66640bj1 [0,0,0,-28,147] 2 66640bj2 [0,0,0,-623,5978] 2
66640bk (2 curves)	2	2- 5+ 7- 17-	2-  1 5+ 7-  0 -5 17- -1
Curve Equation t Generators 66640bk1 [0,1,0,-1976,141140] 1 [-61:196:1]&[-10:400:1] 66640bk2 [0,1,0,17624,-3629900] 1 [174:2176:1]&[1500:58310:1]
66640bl (1 curve)	0	2- 5+ 7- 17-	2-  1 5+ 7- -2  0 17-  2
Curve Equation t 66640bl1 [0,1,0,-3656,225140] 1
66640bm (1 curve)	0	2- 5+ 7- 17-	2-  1 5+ 7- -2  0 17- -4
Curve Equation t 66640bm1 [0,1,0,-51221,-3336145] 1
66640bn (2 curves)	0	2- 5+ 7- 17-	2-  1 5+ 7-  3 -5 17-  2
Curve Equation t 66640bn1 [0,1,0,-10123416,-14080483180] 1 66640bn2 [0,1,0,-850473416,-9546674743180] 1
66640bo (1 curve)	0	2- 5+ 7- 17-	2- -1 5+ 7-  2 -4 17- -6
Curve Equation t 66640bo1 [0,-1,0,152864,-31970560] 1
66640bp (1 curve)	0	2- 5+ 7- 17-	2- -1 5+ 7-  2  5 17- -3
Curve Equation t 66640bp1 [0,-1,0,-701696,227000320] 1
66640bq (2 curves)	2	2- 5+ 7- 17-	2- -2 5+ 7- -6 -5 17-  2
Curve Equation t Generators 66640bq1 [0,1,0,1699,18199] 1 [-5:98:1]&[2:147:1] 66640bq2 [0,1,0,-17901,-1204841] 1 [527:11662:1]&[255:3298:1]
66640br (1 curve)	1	2- 5- 7+ 17+	2-  1 5- 7+  2  4 17+  6
Curve Equation t Generators 66640br1 [0,1,0,3120,94100] 1 [100:1190:1]
66640bs (1 curve)	1	2- 5- 7+ 17+	2- -1 5- 7+ -2  0 17+ -2
Curve Equation t Generators 66640bs1 [0,-1,0,-179160,-77581328] 1 [4002:251566:1]
66640bt (1 curve)	1	2- 5- 7+ 17+	2- -1 5- 7+ -2  0 17+  4
Curve Equation t Generators 66640bt1 [0,-1,0,-1045,10025] 1 [5:70:1]
66640bu (2 curves)	1	2- 5- 7+ 17+	2- -1 5- 7+  3  5 17+ -2
Curve Equation t Generators 66640bu1 [0,-1,0,-206600,41110000] 1 [450:6250:1] 66640bu2 [0,-1,0,-17356600,27837830000] 1 [2410:370:1]
66640bv (1 curve)	0	2- 5- 7+ 17-	2-  1 5- 7+  2 -4 17- -2
Curve Equation t 66640bv1 [0,1,0,-522160,-145573100] 1
66640bw (1 curve)	0	2- 5- 7- 17+	2-  0 5- 7-  1  1 17+  1
Curve Equation t 66640bw1 [0,0,0,319333,-3663926] 1
66640bx (1 curve)	0	2- 5- 7- 17+	2-  0 5- 7-  2 -3 17+  0
Curve Equation t 66640bx1 [0,0,0,5488,15327984] 1
66640by (2 curves)	0	2- 5- 7- 17+	2-  0 5- 7- -2  0 17+ -6
Curve Equation t 66640by1 [0,0,0,-113827,-66191454] 2 66640by2 [0,0,0,-3249827,-2248220254] 2
66640bz (1 curve)	2	2- 5- 7- 17+	2-  0 5- 7- -2  1 17+ -8
Curve Equation t Generators 66640bz1 [0,0,0,-8792,317324] 1 [58:50:1]&[-35:763:1]
66640ca (2 curves)	0	2- 5- 7- 17+	2-  0 5- 7- -2  6 17+  0
Curve Equation t 66640ca1 [0,0,0,-1372,19551] 2 66640ca2 [0,0,0,-1127,26754] 2
66640cb (2 curves)	0	2- 5- 7- 17+	2-  0 5- 7-  4 -2 17+  4
Curve Equation t 66640cb1 [0,0,0,-1372,-50421] 2 66640cb2 [0,0,0,-30527,-2050454] 2
66640cc (4 curves)	0	2- 5- 7- 17+	2-  0 5- 7-  4 -2 17+ -8
Curve Equation t 66640cc1 [0,0,0,-3455627,4610564154] 2 66640cc2 [0,0,0,-67680907,214203342906] 4 66640cc3 [0,0,0,-80224907,129257883706] 2 66640cc4 [0,0,0,-1082741387,13713086642234] 4
66640cd (2 curves)	0	2- 5- 7- 17+	2-  1 5- 7-  6  4 17+ -4
Curve Equation t 66640cd1 [0,1,0,-59285,5535683] 1 66640cd2 [0,1,0,-135445,-11318525] 1
66640ce (1 curve)	0	2- 5- 7- 17+	2-  2 5- 7- -2  1 17+  6
Curve Equation t 66640ce1 [0,-1,0,-7837125,8466078125] 1
66640cf (2 curves)	0	2- 5- 7- 17+	2-  2 5- 7- -2 -2 17+  0
Curve Equation t 66640cf1 [0,-1,0,-6680,-206800] 2 66640cf2 [0,-1,0,-2760,-451408] 2
66640cg (4 curves)	0	2- 5- 7- 17+	2- -2 5- 7- -6 -2 17+  8
Curve Equation t 66640cg1 [0,1,0,-2001960,1089579700] 2 66640cg2 [0,1,0,-1939240,1161105588] 2 66640cg3 [0,1,0,-3268120,-448391532] 2 66640cg4 [0,1,0,12788200,-3537627500] 2
66640ch (1 curve)	0	2- 5- 7- 17+	2-  3 5- 7-  4  3 17+  3
Curve Equation t 66640ch1 [0,0,0,-7987,-275086] 1
66640ci (1 curve)	0	2- 5- 7- 17+	2- -3 5- 7- -2  1 17+  1
Curve Equation t 66640ci1 [0,0,0,9653,-124166] 1
66640cj (2 curves)	1	2- 5- 7- 17-	2-  0 5- 7-  2  6 17-  0
Curve Equation t Generators 66640cj1 [0,0,0,333053,154590786] 2 [-143:10200:1] 66640cj2 [0,0,0,-3096947,1801676786] 2 [3287:164730:1]
66640ck (2 curves)	1	2- 5- 7- 17-	2-  0 5- 7- -6 -2 17-  8
Curve Equation t Generators 66640ck1 [0,0,0,-2947,64386] 2 [7:210:1] 66640ck2 [0,0,0,-47747,4015746] 2 [135:174:1]
66640cl (2 curves)	1	2- 5- 7- 17-	2-  1 5- 7-  0  1 17- -1
Curve Equation t Generators 66640cl1 [0,1,0,312800,-20799500] 1 [303:10094:1] 66640cl2 [0,1,0,-5206560,-4721889292] 1 [4111:208250:1]
66640cm (2 curves)	1	2- 5- 7- 17-	2-  1 5- 7-  0  4 17- -4
Curve Equation t Generators 66640cm1 [0,1,0,-205,1063] 1 [3:22:1] 66640cm2 [0,1,0,-765,-7225] 1 [-17:34:1]
66640cn (2 curves)	1	2- 5- 7- 17-	2-  1 5- 7- -3 -5 17-  2
Curve Equation t Generators 66640cn1 [0,1,0,880,26900] 1 [20:230:1] 66640cn2 [0,1,0,-8080,-808172] 1 [276:-4250:1]
66640co (1 curve)	1	2- 5- 7- 17-	2- -1 5- 7- -1 -1 17-  6
Curve Equation t Generators 66640co1 [0,-1,0,-1531840,-729318400] 1 [5810:431810:1]
66640cp (1 curve)	1	2- 5- 7- 17-	2- -1 5- 7-  3 -1 17-  6
Curve Equation t Generators 66640cp1 [0,-1,0,-800,1067200] 1 [90:1310:1]
66640cq (1 curve)	1	2- 5- 7- 17-	2- -1 5- 7-  4  4 17- -4
Curve Equation t Generators 66640cq1 [0,-1,0,-12805,-284563] 1 [-19691132:47107171:205379]
66640cr (1 curve)	1	2- 5- 7- 17-	2-  2 5- 7-  5 -1 17-  3
Curve Equation t Generators 66640cr1 [0,-1,0,-10880,591872] 1 [34:510:1]
66640cs (1 curve)	1	2- 5- 7- 17-	2-  2 5- 7- -6 -1 17- -6
Curve Equation t Generators 66640cs1 [0,-1,0,339995,-207431475] 1 [331140:23949975:64]

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

Part of Computational Number Theory
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