Cremona's table of elliptic curves

64575 = 3² · 5² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
64575a (2 curves)	1	3+ 5+ 7+ 41+	0 3+ 5+ 7+  3 -2 -3  2
Curve Equation t Generators 64575a1 [0,0,1,3000,26656] 1 [260:4287:1] 64575a2 [0,0,1,-33750,-2845969] 1 [295:3587:1]
64575b (2 curves)	1	3+ 5+ 7+ 41+	-1 3+ 5+ 7+  4  2 -2 -2
Curve Equation t Generators 64575b1 [1,-1,1,145,3022] 2 [10:68:1] 64575b2 [1,-1,1,-2480,45022] 2 [4:185:1]
64575c (2 curves)	2	3+ 5+ 7+ 41-	0 3+ 5+ 7+ -3 -2  3  2
Curve Equation t Generators 64575c1 [0,0,1,-3750,105406] 1 [-40:437:1]&[-26:430:1] 64575c2 [0,0,1,27000,-719719] 1 [210:671:8]&[249:4630:1]
64575d (2 curves)	0	3+ 5+ 7+ 41-	1 3+ 5+ 7+ -4  2  2 -2
Curve Equation t 64575d1 [1,-1,0,1308,-82909] 2 64575d2 [1,-1,0,-22317,-1193284] 2
64575e (1 curve)	0	3+ 5+ 7- 41+	1 3+ 5+ 7-  1  6 -1  2
Curve Equation t 64575e1 [1,-1,0,3633,-231084] 1
64575f (1 curve)	1	3+ 5+ 7- 41-	-1 3+ 5+ 7- -1  6  1  2
Curve Equation t Generators 64575f1 [1,-1,1,32695,6206572] 1 [-62:2015:1]
64575g (1 curve)	2	3+ 5- 7+ 41+	-1 3+ 5- 7+  1 -6  1  2
Curve Equation t Generators 64575g1 [1,-1,1,145,-1878] 1 [24:-135:1]&[94:243:8]
64575h (1 curve)	1	3+ 5- 7+ 41-	1 3+ 5- 7+ -1 -6 -1  2
Curve Equation t Generators 64575h1 [1,-1,0,1308,49391] 1 [-22:109:1]
64575i (2 curves)	2	3- 5+ 7+ 41+	-1 3- 5+ 7+  0 -2 -4  0
Curve Equation t Generators 64575i1 [1,-1,1,-213980,-38017978] 2 [-2178:1535:8]&[-266:295:1] 64575i2 [1,-1,1,-167855,-54899728] 2 [4382:31055:8]&[624:8800:1]
64575j (6 curves)	0	3- 5+ 7+ 41+	-1 3- 5+ 7+ -4  2 -6 -4
Curve Equation t 64575j1 [1,-1,1,-131630,-12281628] 2 64575j2 [1,-1,1,-834755,284437122] 4 64575j3 [1,-1,1,318370,1008599622] 2 64575j4 [1,-1,1,-13237880,18541837122] 4 64575j5 [1,-1,1,-13119755,18888888372] 2 64575j6 [1,-1,1,-211806005,1186519548372] 2
64575k (1 curve)	0	3- 5+ 7+ 41+	2 3- 5+ 7+ -3  5 -3 -6
Curve Equation t 64575k1 [0,0,1,-399825,135691031] 1
64575l (1 curve)	0	3- 5+ 7+ 41+	-2 3- 5+ 7+  0 -6 -7  4
Curve Equation t 64575l1 [0,0,1,-1734375,-883789844] 1
64575m (1 curve)	0	3- 5+ 7+ 41+	-2 3- 5+ 7+  3  0 -1 -2
Curve Equation t 64575m1 [0,0,1,834675,555161656] 1
64575n (2 curves)	1	3- 5+ 7+ 41-	0 3- 5+ 7+  0  4 -6  5
Curve Equation t Generators 64575n1 [0,0,1,-95700,25150531] 1 [-5:5062:1] 64575n2 [0,0,1,-10119450,12390357406] 1 [2020:13837:1]
64575o (1 curve)	1	3- 5+ 7+ 41-	0 3- 5+ 7+  3  0  3  2
Curve Equation t Generators 64575o1 [0,0,1,-86733300,312690754656] 1 [17480:2034112:1]
64575p (1 curve)	1	3- 5+ 7+ 41-	0 3- 5+ 7+ -3  0 -6  2
Curve Equation t Generators 64575p1 [0,0,1,-21180,1186416] 1 [86:-32:1]
64575q (2 curves)	1	3- 5+ 7+ 41-	1 3- 5+ 7+ -2  4  0  2
Curve Equation t Generators 64575q1 [1,-1,0,-762417,256424616] 2 [3942:1629:8] 64575q2 [1,-1,0,-756792,260390241] 2 [-96:18273:1]
64575r (1 curve)	1	3- 5+ 7+ 41-	1 3- 5+ 7+ -6  1 -2 -3
Curve Equation t Generators 64575r1 [1,-1,0,153,216] 1 [100:954:1]
64575s (4 curves)	1	3- 5+ 7+ 41-	-1 3- 5+ 7+  0 -2 -2 -4
Curve Equation t Generators 64575s1 [1,-1,1,670,23672] 2 [4:160:1] 64575s2 [1,-1,1,-9455,327422] 4 [-36:805:1] 64575s3 [1,-1,1,-33080,-1940578] 2 [-86:555:1] 64575s4 [1,-1,1,-147830,21913922] 2 [229:60:1]
64575t (2 curves)	1	3- 5+ 7+ 41-	-1 3- 5+ 7+  2  4  4 -2
Curve Equation t Generators 64575t1 [1,-1,1,-4143605,-3245409228] 2 [11085438:703948370:2197] 64575t2 [1,-1,1,-4002980,-3476034228] 2 [19454:2688585:1]
64575u (1 curve)	1	3- 5+ 7+ 41-	-1 3- 5+ 7+  2 -5 -2 -2
Curve Equation t Generators 64575u1 [1,-1,1,-1580,-48828] 1 [110:993:1]
64575v (1 curve)	1	3- 5+ 7+ 41-	-2 3- 5+ 7+ -3  1  1 -6
Curve Equation t Generators 64575v1 [0,0,1,-40575,34606656] 1 [1605:64062:1]
64575w (1 curve)	1	3- 5+ 7+ 41-	-2 3- 5+ 7+ -3  4  1  6
Curve Equation t Generators 64575w1 [0,0,1,-2220825,-1273887594] 1 [1724:4630:1]
64575x (1 curve)	1	3- 5+ 7+ 41-	-2 3- 5+ 7+  4  4 -3 -4
Curve Equation t Generators 64575x1 [0,0,1,15,-504] 1 [11:31:1]
64575y (1 curve)	1	3- 5+ 7- 41+	0 3- 5+ 7-  0 -4  2  3
Curve Equation t Generators 64575y1 [0,0,1,19800,93656] 1 [720:19687:1]
64575z (4 curves)	1	3- 5+ 7- 41+	1 3- 5+ 7-  4 -6  2 -4
Curve Equation t Generators 64575z1 [1,-1,0,-181692,-29763909] 2 [-1359309966872:694407490661:5526456832] 64575z2 [1,-1,0,-182817,-29375784] 4 [-8558514:-6303393:39304] 64575z3 [1,-1,0,29808,-93801159] 2 [945585390:-147140906001:39304] 64575z4 [1,-1,0,-413442,59876091] 2 [558:1359:1]
64575ba (2 curves)	1	3- 5+ 7- 41+	1 3- 5+ 7- -4  2  4 -4
Curve Equation t Generators 64575ba1 [1,-1,0,-304542,64740991] 2 [234:2383:1] 64575ba2 [1,-1,0,-258417,84989866] 2 [2542:45979:8]
64575bb (1 curve)	1	3- 5+ 7- 41+	1 3- 5+ 7-  6 -3 -6  6
Curve Equation t Generators 64575bb1 [1,-1,0,158958,217423741] 1 [-6980:1807873:125]
64575bc (2 curves)	1	3- 5+ 7- 41+	-1 3- 5+ 7-  0 -2  0  0
Curve Equation t Generators 64575bc1 [1,-1,1,-9230,-9228] 2 [204:-2665:1] 64575bc2 [1,-1,1,36895,-101478] 2 [159:-3205:1]
64575bd (4 curves)	1	3- 5+ 7- 41+	-1 3- 5+ 7-  0 -2  6  0
Curve Equation t Generators 64575bd1 [1,-1,1,-1256630,421725372] 2 [1988:75015:1] 64575bd2 [1,-1,1,-18834755,31464694122] 4 [-636:208130:1] 64575bd3 [1,-1,1,-17569130,35874131622] 2 [1454:-116490:1] 64575bd4 [1,-1,1,-301350380,2013594319122] 2 [12279:-411790:1]
64575be (6 curves)	1	3- 5+ 7- 41+	-1 3- 5+ 7-  4 -6 -6  4
Curve Equation t Generators 64575be1 [1,-1,1,-19069880,-32048332878] 2 [19169920:2169667818:1331] 64575be2 [1,-1,1,-19071005,-32044361628] 4 [56498:13359471:1] 64575be3 [1,-1,1,-16810880,-39927677628] 2 [8410111921:1989177447942:148877] 64575be4 [1,-1,1,-21349130,-23906899128] 4 [-1276:36075:1] 64575be5 [1,-1,1,63751495,-167046150378] 2 [8834:1037445:1] 64575be6 [1,-1,1,-142899755,640002614622] 2 [164637261:-78214610645:729]
64575bf (1 curve)	1	3- 5+ 7- 41+	-1 3- 5+ 7-  6  7 -6 -6
Curve Equation t Generators 64575bf1 [1,-1,1,661720,-62133528] 1 [67946148602:2967290787285:356400829]
64575bg (1 curve)	1	3- 5+ 7- 41+	2 3- 5+ 7- -5  0  3 -2
Curve Equation t Generators 64575bg1 [0,0,1,-75,63031] 1 [530:4721:8]
64575bh (1 curve)	1	3- 5+ 7- 41+	-2 3- 5+ 7-  4  0 -4  5
Curve Equation t Generators 64575bh1 [0,0,1,-75,6156] 1 [20:112:1]
64575bi (1 curve)	1	3- 5+ 7- 41+	-2 3- 5+ 7-  5  2 -2 -4
Curve Equation t Generators 64575bi1 [0,0,1,-69375,-7583594] 1 [1084:34510:1]
64575bj (2 curves)	1	3- 5- 7+ 41+	1 3- 5- 7+  2  2  2 -6
Curve Equation t Generators 64575bj1 [1,-1,0,-1197117,504164416] 2 [-1490:215503:8] 64575bj2 [1,-1,0,-1427742,296371291] 2 [-52230:5436581:216]
64575bk (2 curves)	1	3- 5- 7+ 41+	-1 3- 5- 7+  2  2 -2  2
Curve Equation t Generators 64575bk1 [1,-1,1,-635,-5358] 2 [-16:30:1] 64575bk2 [1,-1,1,-9860,-374358] 2 [-57:30:1]
64575bl (1 curve)	1	3- 5- 7+ 41+	2 3- 5- 7+  5 -2  2 -4
Curve Equation t Generators 64575bl1 [0,0,1,-2775,-60669] 1 [498:703:8]
64575bm (1 curve)	0	3- 5- 7+ 41-	0 3- 5- 7+ -2  2 -4 -3
Curve Equation t 64575bm1 [0,0,1,-54750,-6689844] 1
64575bn (2 curves)	0	3- 5- 7- 41+	1 3- 5- 7-  2 -2  2  2
Curve Equation t 64575bn1 [1,-1,0,-15867,-685584] 2 64575bn2 [1,-1,0,-246492,-47041209] 2
64575bo (2 curves)	2	3- 5- 7- 41+	-1 3- 5- 7-  2 -2 -2 -6
Curve Equation t Generators 64575bo1 [1,-1,1,-47885,4042892] 2 [-240:1411:1]&[-51:2545:1] 64575bo2 [1,-1,1,-57110,2382392] 2 [0:1543:1]&[-245:1396:1]
64575bp (1 curve)	0	3- 5- 7- 41+	2 3- 5- 7-  0  6  7  4
Curve Equation t 64575bp1 [0,0,1,-69375,-7070319] 1
64575bq (1 curve)	1	3- 5- 7- 41-	0 3- 5- 7- -2 -2  4 -3
Curve Equation t Generators 64575bq1 [0,0,1,-2190,-53519] 1 [115:-1103:1]
64575br (1 curve)	1	3- 5- 7- 41-	0 3- 5- 7- -3  0  6  2
Curve Equation t Generators 64575br1 [0,0,1,-529500,148302031] 1 [421:31:1]
64575bs (1 curve)	1	3- 5- 7- 41-	-1 3- 5- 7- -6 -1  2 -3
Curve Equation t Generators 64575bs1 [1,-1,1,3820,30822] 1 [-6:90:1]
64575bt (1 curve)	1	3- 5- 7- 41-	2 3- 5- 7-  4 -4  3 -4
Curve Equation t Generators 64575bt1 [0,0,1,375,-62969] 1 [517264:5788219:4096]

Data from Elliptic Curve Data by J. E. Cremona.
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