Cremona's table of elliptic curves

57664 = 2⁶ · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
57664a (2 curves)	1	2+ 17+ 53+	2+  0  0  0  4 -2 17+  2
Curve Equation t Generators 57664a1 [0,0,0,5,-84] 2 [256040:11649:64000] 57664a2 [0,0,0,-260,-1568] 2 [1188:85:64]
57664b (2 curves)	1	2+ 17+ 53+	2+  0  0  0 -4 -2 17+ -2
Curve Equation t Generators 57664b1 [0,0,0,5,84] 2 [-60:567:64] 57664b2 [0,0,0,-260,1568] 2 [-8:56:1]
57664c (1 curve)	1	2+ 17+ 53+	2+  2  1  1  0 -1 17+  5
Curve Equation t Generators 57664c1 [0,-1,0,-65,-1471] 1 [31135:34956:2197]
57664d (2 curves)	1	2+ 17+ 53+	2+  2  3  5  0 -5 17+ -5
Curve Equation t Generators 57664d1 [0,-1,0,8671,38561] 1 [286334225:27180074784:109902239] 57664d2 [0,-1,0,-110049,-15418783] 1 [3625851154993523450338331157289:89575390416090272843106816741408:4659302502149922970655433191]
57664e (1 curve)	1	2+ 17+ 53+	2+ -2 -3 -1  0  7 17+  7
Curve Equation t Generators 57664e1 [0,1,0,1023,-105761] 1 [153:1912:1]
57664f (2 curves)	0	2+ 17+ 53-	2+  0  0  2  6 -6 17+ -4
Curve Equation t 57664f1 [0,0,0,-5420,-123344] 2 57664f2 [0,0,0,11540,-740688] 2
57664g (2 curves)	0	2+ 17+ 53-	2+ -2  0  4  0 -2 17+ -8
Curve Equation t 57664g1 [0,1,0,-18113,-940385] 2 57664g2 [0,1,0,-289473,-60042593] 2
57664h (2 curves)	0	2+ 17+ 53-	2+ -2  0 -4  0 -2 17+  0
Curve Equation t 57664h1 [0,1,0,-1894273,1002855135] 2 57664h2 [0,1,0,-1911233,983965087] 2
57664i (2 curves)	2	2+ 17+ 53-	2+ -2  0 -4  0 -2 17+ -4
Curve Equation t Generators 57664i1 [0,1,0,-93,259] 2 [-10:17:1]&[-2:21:1] 57664i2 [0,1,0,-433,-3345] 2 [-14:13:1]&[-13:16:1]
57664j (1 curve)	0	2+ 17- 53+	2+  1 -1 -2  4 -5 17-  4
Curve Equation t 57664j1 [0,1,0,-11997941,-15999882157] 1
57664k (1 curve)	0	2+ 17- 53+	2+  1 -3  2  0  7 17-  0
Curve Equation t 57664k1 [0,1,0,-17,-31] 1
57664l (2 curves)	0	2+ 17- 53+	2+ -2  2 -2 -2 -2 17-  4
Curve Equation t 57664l1 [0,1,0,-18051297,-29487534977] 2 57664l2 [0,1,0,-12808417,-46959956865] 2
57664m (1 curve)	0	2+ 17- 53+	2+  3 -1 -2  0 -1 17-  4
Curve Equation t 57664m1 [0,0,0,-6028,33674] 1
57664n (1 curve)	1	2+ 17- 53-	2+  0 -1  1  0  5 17-  3
Curve Equation t Generators 57664n1 [0,0,0,-23,-44] 1 [720:478:125]
57664o (1 curve)	1	2+ 17- 53-	2+  0 -1 -1  0  5 17- -3
Curve Equation t Generators 57664o1 [0,0,0,-23,44] 1 [4:4:1]
57664p (2 curves)	1	2+ 17- 53-	2+  0  2  2 -6 -2 17-  6
Curve Equation t Generators 57664p1 [0,0,0,-299,-2020] 2 [25335802:42035645:1191016] 57664p2 [0,0,0,-4804,-128160] 2 [21186442002690:-569493812024415:29047689224]
57664q (2 curves)	1	2+ 17- 53-	2+  0  2 -2  6 -2 17- -6
Curve Equation t Generators 57664q1 [0,0,0,-299,2020] 2 [192:2650:1] 57664q2 [0,0,0,-4804,128160] 2 [1570:20775:8]
57664r (1 curve)	1	2+ 17- 53-	2+  0 -3 -1  0 -3 17- -1
Curve Equation t Generators 57664r1 [0,0,0,-22124,-35332176] 1 [3320:191012:1]
57664s (1 curve)	1	2+ 17- 53-	2+ -1  1  0 -2 -1 17-  8
Curve Equation t Generators 57664s1 [0,-1,0,-85,269] 1 [-4:23:1]
57664t (2 curves)	1	2+ 17- 53-	2+ -1  3 -4 -6 -5 17-  4
Curve Equation t Generators 57664t1 [0,-1,0,-69,127] 1 [-6:17:1] 57664t2 [0,-1,0,-2789,-55769] 1 [-30:1:1]
57664u (2 curves)	1	2+ 17- 53-	2+  2 -2 -2  0  6 17-  8
Curve Equation t Generators 57664u1 [0,-1,0,-6409,199305] 2 [63:204:1] 57664u2 [0,-1,0,-4289,331169] 2 [64:561:1]
57664v (2 curves)	1	2+ 17- 53-	2+ -2 -2  2  0  6 17- -8
Curve Equation t Generators 57664v1 [0,1,0,-6409,-199305] 2 [-46:17:1] 57664v2 [0,1,0,-4289,-331169] 2 [157:1700:1]
57664w (1 curve)	0	2- 17+ 53+	2-  2 -3  1  0  7 17+ -7
Curve Equation t 57664w1 [0,-1,0,1023,105761] 1
57664x (1 curve)	2	2- 17+ 53+	2- -2  1 -1  0 -1 17+ -5
Curve Equation t Generators 57664x1 [0,1,0,-65,1471] 1 [15:64:1]&[5:36:1]
57664y (2 curves)	0	2- 17+ 53+	2- -2  3 -5  0 -5 17+  5
Curve Equation t 57664y1 [0,1,0,8671,-38561] 1 57664y2 [0,1,0,-110049,15418783] 1
57664z (2 curves)	1	2- 17+ 53-	2-  0  0 -2 -6 -6 17+  4
Curve Equation t Generators 57664z1 [0,0,0,-5420,123344] 2 [-80:212:1] 57664z2 [0,0,0,11540,740688] 2 [-48:276:1]
57664ba (1 curve)	1	2- 17+ 53-	2-  1 -1  2  4 -5 17+  4
Curve Equation t Generators 57664ba1 [0,1,0,-371,-2809] 1 [-10:1:1]
57664bb (1 curve)	1	2- 17+ 53-	2- -1 -1 -2 -4 -5 17+ -4
Curve Equation t Generators 57664bb1 [0,-1,0,-371,2809] 1 [0:53:1]
57664bc (2 curves)	1	2- 17+ 53-	2-  2  0  4  0 -2 17+  0
Curve Equation t Generators 57664bc1 [0,-1,0,-1894273,-1002855135] 2 [-1140224807098190079169446417:23652250261395256135676112:1434398896661001527176361] 57664bc2 [0,-1,0,-1911233,-983965087] 2 [706139042596590083813263862628517399279944197393979:-139330473130170411748041762005733062675391189184953328:18113965544741568144432555514208658262767285597]
57664bd (2 curves)	1	2- 17+ 53-	2-  2  0  4  0 -2 17+  4
Curve Equation t Generators 57664bd1 [0,-1,0,-93,-259] 2 [7594:233835:8] 57664bd2 [0,-1,0,-433,3345] 2 [255:80:27]
57664be (2 curves)	1	2- 17+ 53-	2-  2  0 -4  0 -2 17+  8
Curve Equation t Generators 57664be1 [0,-1,0,-18113,940385] 2 [-137:912:1] 57664be2 [0,-1,0,-289473,60042593] 2 [77709:-4100048:27]
57664bf (1 curve)	1	2- 17+ 53-	2-  3  1  2  0 -5 17+  0
Curve Equation t Generators 57664bf1 [0,0,0,-22,38] 1 [3:161:27]
57664bg (1 curve)	1	2- 17+ 53-	2- -3  1 -2  0 -5 17+  0
Curve Equation t Generators 57664bg1 [0,0,0,-22,-38] 1 [-3:1:1]
57664bh (1 curve)	1	2- 17- 53+	2- -1 -1  2 -4 -5 17- -4
Curve Equation t Generators 57664bh1 [0,-1,0,-11997941,15999882157] 1 [250020:17:125]
57664bi (1 curve)	1	2- 17- 53+	2- -1 -3 -2  0  7 17-  0
Curve Equation t Generators 57664bi1 [0,-1,0,-17,31] 1 [2:1:1]
57664bj (2 curves)	1	2- 17- 53+	2-  2  2  2  2 -2 17- -4
Curve Equation t Generators 57664bj1 [0,-1,0,-18051297,29487534977] 2 [121697883:-84640743692:531441] 57664bj2 [0,-1,0,-12808417,46959956865] 2 [7139952993750952635:1947122038181237941900:9968497857623313]
57664bk (1 curve)	1	2- 17- 53+	2- -3 -1  2  0 -1 17- -4
Curve Equation t Generators 57664bk1 [0,0,0,-6028,-33674] 1 [-65:289:1]
57664bl (2 curves)	0	2- 17- 53-	2-  0  2  0  6 -2 17-  4
Curve Equation t 57664bl1 [0,0,0,-164,448] 2 57664bl2 [0,0,0,-2284,42000] 2
57664bm (2 curves)	2	2- 17- 53-	2-  0  2  0 -6 -2 17- -4
Curve Equation t Generators 57664bm1 [0,0,0,-164,-448] 2 [-11:5:1]&[-4:12:1] 57664bm2 [0,0,0,-2284,-42000] 2 [125:1275:1]&[228:3360:1]
57664bn (1 curve)	2	2- 17- 53-	2-  0 -3  1  0 -3 17-  1
Curve Equation t Generators 57664bn1 [0,0,0,-22124,35332176] 1 [-246:5088:1]&[-22:5984:1]
57664bo (1 curve)	0	2- 17- 53-	2-  1  1  0  2 -1 17- -8
Curve Equation t 57664bo1 [0,1,0,-85,-269] 1
57664bp (2 curves)	0	2- 17- 53-	2-  1  3  4  6 -5 17- -4
Curve Equation t 57664bp1 [0,1,0,-69,-127] 1 57664bp2 [0,1,0,-2789,55769] 1

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