Cremona's table of elliptic curves

76320 = 2⁵ · 3² · 5 · 53

Class	r	Atkin-Lehner	Eigenvalues
76320a (2 curves)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  0 -6 -6 -4  0
Curve Equation t Generators 76320a1 [0,0,0,27,9828] 2 [4:100:1] 76320a2 [0,0,0,-6723,208278] 2 [-11:530:1]
76320b (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  2  0  6  6  4
Curve Equation t 76320b1 [0,0,0,-33,248] 2 76320b2 [0,0,0,-828,9152] 2
76320c (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -2  0  6  6 -4
Curve Equation t 76320c1 [0,0,0,-33,-248] 2 76320c2 [0,0,0,-828,-9152] 2
76320d (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5-  0  4  6  2  6
Curve Equation t 76320d1 [0,0,0,-26217,2044224] 2 76320d2 [0,0,0,-448092,115444224] 2
76320e (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5-  0 -4  6  2 -6
Curve Equation t 76320e1 [0,0,0,-26217,-2044224] 2 76320e2 [0,0,0,-448092,-115444224] 2
76320f (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5-  0 -6 -6  4  0
Curve Equation t Generators 76320f1 [0,0,0,3,364] 2 [3:20:1] 76320f2 [0,0,0,-747,7714] 2 [18:10:1]
76320g (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0 -2 -2  4
Curve Equation t 76320g1 [0,0,0,-27633,1371832] 4 76320g2 [0,0,0,63492,8516032] 2 76320g3 [0,0,0,-146883,-20498618] 2 76320g4 [0,0,0,-414003,102523498] 2
76320h (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0 -2 -2 -4
Curve Equation t 76320h1 [0,0,0,-27633,-1371832] 4 76320h2 [0,0,0,63492,-8516032] 2 76320h3 [0,0,0,-146883,20498618] 2 76320h4 [0,0,0,-414003,-102523498] 2
76320i (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  1  3  6  0  5
Curve Equation t Generators 76320i1 [0,0,0,-723,9322] 1 [26:90:1]
76320j (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -1 -3  6  0 -5
Curve Equation t Generators 76320j1 [0,0,0,-723,-9322] 1 [49:-270:1]
76320k (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  2  0 -4  0  0
Curve Equation t Generators 76320k1 [0,0,0,-496893,-134816308] 2 [-10384443454592:19698382143:25516048384] 76320k2 [0,0,0,-497163,-134662462] 2 [-104014784:-96384375:262144]
76320l (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  0 -4  0 -4
Curve Equation t Generators 76320l1 [0,0,0,-2253,-2068] 2 [49:72:1] 76320l2 [0,0,0,-24123,1436978] 2 [34:810:1]
76320m (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  4 -4 -8 -8
Curve Equation t Generators 76320m1 [0,0,0,-813,8908] 2 [8:54:1] 76320m2 [0,0,0,-1083,2482] 2 [2:18:1]
76320n (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  4  0  2  3  2
Curve Equation t Generators 76320n1 [0,0,0,6072,-229552] 1 [136:1764:1]
76320o (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  4 -2  2  4 -2
Curve Equation t Generators 76320o1 [0,0,0,-273,-16472] 2 [323:5796:1] 76320o2 [0,0,0,-11523,-473222] 2 [113414:1936278:343]
76320p (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -4  2  2  4  2
Curve Equation t Generators 76320p1 [0,0,0,-273,16472] 2 [52:378:1] 76320p2 [0,0,0,-11523,473222] 2 [49:162:1]
76320q (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  0  0  6 -2  6
Curve Equation t 76320q1 [0,0,0,-397497,-96460364] 2 76320q2 [0,0,0,-397452,-96483296] 2
76320r (1 curve)	0	2+ 3- 5- 53-	2+ 3- 5-  0  0 -6  7  6
Curve Equation t 76320r1 [0,0,0,-552,-8624] 1
76320s (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  2 -4  2 -2  2
Curve Equation t 76320s1 [0,0,0,-59817,952976] 2 76320s2 [0,0,0,235428,7566464] 2
76320t (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5- -2  4  2 -2 -2
Curve Equation t 76320t1 [0,0,0,-59817,-952976] 2 76320t2 [0,0,0,235428,-7566464] 2
76320u (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+  0  6 -6 -4  0
Curve Equation t 76320u1 [0,0,0,27,-9828] 2 76320u2 [0,0,0,-6723,-208278] 2
76320v (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  0  4  6 -2 -6
Curve Equation t Generators 76320v1 [0,0,0,-2913,75712] 2 [57:308:1] 76320v2 [0,0,0,-49788,4275712] 2 [122:132:1]
76320w (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  0 -4  6 -2  6
Curve Equation t Generators 76320w1 [0,0,0,-2913,-75712] 2 [78805:1971116:125] 76320w2 [0,0,0,-49788,-4275712] 2 [2522:126140:1]
76320x (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5-  2  0  6 -6  4
Curve Equation t Generators 76320x1 [0,0,0,-297,-6696] 2 [37807:391040:343] 76320x2 [0,0,0,-7452,-247104] 2 [442:9100:1]
76320y (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -2  0  6 -6 -4
Curve Equation t Generators 76320y1 [0,0,0,-297,6696] 2 [1:80:1] 76320y2 [0,0,0,-7452,247104] 2 [-6:540:1]
76320z (2 curves)	0	2- 3+ 5- 53-	2- 3+ 5-  0  6 -6  4  0
Curve Equation t 76320z1 [0,0,0,3,-364] 2 76320z2 [0,0,0,-747,-7714] 2
76320ba (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  0  2 -4 -6  4
Curve Equation t Generators 76320ba1 [0,0,0,807,5992] 2 [-1:72:1] 76320ba2 [0,0,0,-3963,52738] 2 [158:1836:1]
76320bb (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  0 -2 -4 -6 -4
Curve Equation t Generators 76320bb1 [0,0,0,807,-5992] 2 [88:864:1] 76320bb2 [0,0,0,-3963,-52738] 2 [-23:162:1]
76320bc (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  2  2 -3 -5  5
Curve Equation t Generators 76320bc1 [0,0,0,-4908,-400768] 1 [33056:6010000:1]
76320bd (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  2 -4  2  2  2
Curve Equation t Generators 76320bd1 [0,0,0,-3153,-68128] 2 [257:4012:1] 76320bd2 [0,0,0,-2748,-86272] 2 [74:340:1]
76320be (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -2 -2 -3 -5 -5
Curve Equation t Generators 76320be1 [0,0,0,-4908,400768] 1 [69:625:1]
76320bf (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  4  2  2 -2
Curve Equation t Generators 76320bf1 [0,0,0,-3153,68128] 2 [-49:324:1] 76320bf2 [0,0,0,-2748,86272] 2 [26:-180:1]
76320bg (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  3  3  2  0 -5
Curve Equation t Generators 76320bg1 [0,0,0,-10297083,-12756094882] 1 [45649180591:13881754417770:493039]
76320bh (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -3 -3  2  0  5
Curve Equation t Generators 76320bh1 [0,0,0,-10297083,12756094882] 1 [-3154:117720:1]
76320bi (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  4 -2  0 -2  4
Curve Equation t Generators 76320bi1 [0,0,0,87,-6392] 2 [167:2160:1] 76320bi2 [0,0,0,-4683,-119918] 2 [21670:258552:125]
76320bj (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  4  4  2 -7 -2
Curve Equation t Generators 76320bj1 [0,0,0,-16248,-797168] 1 [1037872:28567332:1331]
76320bk (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -4  2  0 -2 -4
Curve Equation t Generators 76320bk1 [0,0,0,87,6392] 2 [-8:72:1] 76320bk2 [0,0,0,-4683,119918] 2 [-47:486:1]
76320bl (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -4 -4  2 -7  2
Curve Equation t Generators 76320bl1 [0,0,0,-16248,797168] 1 [76:36:1]
76320bm (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  4  0  4 -6
Curve Equation t 76320bm1 [0,0,0,-633,-4088] 2 76320bm2 [0,0,0,1797,-27902] 2
76320bn (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0 -4  0  4  6
Curve Equation t 76320bn1 [0,0,0,-633,4088] 2 76320bn2 [0,0,0,1797,27902] 2
76320bo (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  2  0 -4  0  4
Curve Equation t 76320bo1 [0,0,0,-2253,2068] 2 76320bo2 [0,0,0,-24123,-1436978] 2
76320bp (2 curves)	2	2- 3- 5+ 53-	2- 3- 5+  2 -4 -4 -8  8
Curve Equation t Generators 76320bp1 [0,0,0,-813,-8908] 2 [-16:2:1]&[79:648:1] 76320bp2 [0,0,0,-1083,-2482] 2 [-26:90:1]&[-19:106:1]
76320bq (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+ -2  0 -4  0  0
Curve Equation t 76320bq1 [0,0,0,-496893,134816308] 2 76320bq2 [0,0,0,-497163,134662462] 2
76320br (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+ -4  0  2  3 -2
Curve Equation t 76320br1 [0,0,0,6072,229552] 1
76320bs (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  0  4  2 -3  2
Curve Equation t 76320bs1 [0,0,0,-912792,950199824] 1
76320bt (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  0 -4  2 -3 -2
Curve Equation t 76320bt1 [0,0,0,-912792,-950199824] 1
76320bu (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  0  6 -2 -6
Curve Equation t Generators 76320bu1 [0,0,0,-397497,96460364] 2 [328:1170:1] 76320bu2 [0,0,0,-397452,96483296] 2 [332:1060:1]
76320bv (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  0  0 -6  7 -6
Curve Equation t Generators 76320bv1 [0,0,0,-552,8624] 1 [-20:108:1]
76320bw (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  4 -2  6 -4
Curve Equation t Generators 76320bw1 [0,0,0,-7977,271096] 4 [-88:540:1] 76320bw2 [0,0,0,-1227,715246] 4 [-78:580:1] 76320bw3 [0,0,0,-15132,-289856] 2 [-22:180:1] 76320bw4 [0,0,0,-127227,17466946] 2 [1502:56700:1]
76320bx (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0 -4 -2  6  4
Curve Equation t Generators 76320bx1 [0,0,0,-7977,-271096] 4 [113:520:1] 76320bx2 [0,0,0,-1227,-715246] 2 [6692:35035:64] 76320bx3 [0,0,0,-15132,289856] 4 [-128:360:1] 76320bx4 [0,0,0,-127227,-17466946] 2 [2498:123500:1]
76320by (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  3  5  2 -4 -7
Curve Equation t Generators 76320by1 [0,0,0,-7323627,7806455854] 1 [-2047:119250:1]
76320bz (1 curve)	1	2- 3- 5- 53-	2- 3- 5- -3 -5  2 -4  7
Curve Equation t Generators 76320bz1 [0,0,0,-7323627,-7806455854] 1 [21922:3219750:1]

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