Cremona's table of elliptic curves

6384 = 2⁴ · 3 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
6384a (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+ -4 7+ -2 -4  4 19+
Curve Equation t Generators 6384a1 [0,-1,0,-180,-864] 2 [-7:2:1] 6384a2 [0,-1,0,-320,816] 2 [-10:54:1]
6384b (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  0 7+  0 -2 -8 19-
Curve Equation t 6384b1 [0,-1,0,37,-402] 2 6384b2 [0,-1,0,-628,-5456] 2
6384c (4 curves)	0	2+ 3+ 7+ 19-	2+ 3+ -2 7+  4  2  2 19-
Curve Equation t 6384c1 [0,-1,0,41,-86] 2 6384c2 [0,-1,0,-204,-576] 4 6384c3 [0,-1,0,-2864,-58032] 2 6384c4 [0,-1,0,-1464,21600] 4
6384d (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  2 7-  6 -2  0 19+
Curve Equation t 6384d1 [0,-1,0,-4955392,4246324048] 2 6384d2 [0,-1,0,-4283112,5439217680] 2
6384e (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7- -6  4  0 19-
Curve Equation t Generators 6384e1 [0,-1,0,-28,-32] 2 [-3:4:1] 6384e2 [0,-1,0,-168,864] 2 [-10:38:1]
6384f (2 curves)	1	2+ 3+ 7- 19-	2+ 3+ -4 7- -4  2 -4 19-
Curve Equation t Generators 6384f1 [0,-1,0,-35,66] 2 [6:6:1] 6384f2 [0,-1,0,100,336] 2 [4:28:1]
6384g (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+ -2 -4  0 19+
Curve Equation t 6384g1 [0,1,0,-23948,-1131348] 2 6384g2 [0,1,0,-360088,-83283964] 2
6384h (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+  4  2  0 19+
Curve Equation t 6384h1 [0,1,0,-43,104] 2 6384h2 [0,1,0,-708,7020] 2
6384i (4 curves)	1	2+ 3- 7+ 19-	2+ 3- -2 7+  0 -2  6 19-
Curve Equation t Generators 6384i1 [0,1,0,-84,60] 2 [-1:12:1] 6384i2 [0,1,0,-1064,12996] 4 [0:114:1] 6384i3 [0,1,0,-17024,849300] 2 [84:138:1] 6384i4 [0,1,0,-784,20276] 4 [44:270:1]
6384j (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0 -2  0 19+
Curve Equation t Generators 6384j1 [0,1,0,-43,-124] 2 [480:1918:27] 6384j2 [0,1,0,-28,-196] 2 [70:588:1]
6384k (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7- -4 -6  6 19+
Curve Equation t Generators 6384k1 [0,1,0,-47,108] 2 [-8:6:1] 6384k2 [0,1,0,-92,-180] 4 [523:11970:1] 6384k3 [0,1,0,-1232,-17052] 2 [42:84:1] 6384k4 [0,1,0,328,-1020] 2 [65355:1496706:125]
6384l (2 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7- -6 -2 -8 19+
Curve Equation t Generators 6384l1 [0,1,0,-152,-732] 2 [-8:6:1] 6384l2 [0,1,0,128,-2860] 2 [20:90:1]
6384m (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  0 -2  2 19+
Curve Equation t Generators 6384m1 [0,1,0,321,1332] 2 [12:84:1] 6384m2 [0,1,0,-1484,9996] 4 [-14:168:1] 6384m3 [0,1,0,-11744,-486588] 2 [-62:84:1] 6384m4 [0,1,0,-20104,1089956] 4 [-160:486:1]
6384n (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  4  2 -6 19+
Curve Equation t Generators 6384n1 [0,1,0,-4359,41940] 2 [-48:378:1] 6384n2 [0,1,0,-37164,-2739924] 4 [-114:168:1] 6384n3 [0,1,0,-592824,-175883580] 2 [999:15162:1] 6384n4 [0,1,0,-6384,-7110684] 4 [210:924:1]
6384o (2 curves)	1	2+ 3- 7- 19+	2+ 3- -4 7-  0 -2  4 19+
Curve Equation t Generators 6384o1 [0,1,0,-106435,13329764] 2 [224:882:1] 6384o2 [0,1,0,-106300,13365404] 2 [-34:4116:1]
6384p (4 curves)	0	2+ 3- 7- 19-	2+ 3-  2 7-  4 -6  2 19-
Curve Equation t 6384p1 [0,1,0,-932,-11268] 2 6384p2 [0,1,0,-952,-10780] 4 6384p3 [0,1,0,-3232,57620] 2 6384p4 [0,1,0,1008,-47628] 4
6384q (6 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+ -6 -4  0 19+
Curve Equation t 6384q1 [0,-1,0,-124808,-16929552] 2 6384q2 [0,-1,0,-127048,-16288016] 2 6384q3 [0,-1,0,-178808,-834960] 2 6384q4 [0,-1,0,-1934968,1033192048] 2 6384q5 [0,-1,0,-9786728,11787501936] 2 6384q6 [0,-1,0,-156587368,754246418800] 2
6384r (2 curves)	0	2- 3+ 7+ 19+	2- 3+ -2 7+  2 -6  2 19+
Curve Equation t 6384r1 [0,-1,0,-229,-3020] 2 6384r2 [0,-1,0,-4884,-129636] 2
6384s (2 curves)	0	2- 3+ 7+ 19+	2- 3+  4 7+  2  0  8 19+
Curve Equation t 6384s1 [0,-1,0,-616,5488] 2 6384s2 [0,-1,0,-9576,363888] 2
6384t (4 curves)	1	2- 3+ 7+ 19-	2- 3+ -2 7+  4 -2 -2 19-
Curve Equation t Generators 6384t1 [0,-1,0,-2584,30448] 2 [-54:98:1] 6384t2 [0,-1,0,-18264,-922896] 4 [-86:66:1] 6384t3 [0,-1,0,-290424,-60144912] 2 [122646:8204086:27] 6384t4 [0,-1,0,3016,-2965776] 2 [4062:25190:27]
6384u (4 curves)	1	2- 3+ 7- 19+	2- 3+  2 7-  0  2 -2 19+
Curve Equation t Generators 6384u1 [0,-1,0,48,960] 2 [17:80:1] 6384u2 [0,-1,0,-1232,16320] 4 [-8:160:1] 6384u3 [0,-1,0,-3472,-57152] 2 [-22:90:1] 6384u4 [0,-1,0,-19472,1052352] 4 [106:410:1]
6384v (2 curves)	1	2- 3+ 7- 19+	2- 3+  2 7- -6  2 -2 19+
Curve Equation t Generators 6384v1 [0,-1,0,43843,1066632] 2 [1348:50078:1] 6384v2 [0,-1,0,-184252,8913100] 2 [11050:390915:8]
6384w (2 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  2  2  2 19+
Curve Equation t Generators 6384w1 [0,-1,0,-309,2220] 2 [8:14:1] 6384w2 [0,-1,0,-4964,136284] 2 [29:126:1]
6384x (2 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  2  2 -4 19+
Curve Equation t Generators 6384x1 [0,-1,0,-1464,-20880] 2 [-22:14:1] 6384x2 [0,-1,0,-344,-53136] 2 [90:798:1]
6384y (4 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  0  2  2 19-
Curve Equation t 6384y1 [0,-1,0,-1272,14448] 2 6384y2 [0,-1,0,-6392,-182160] 4 6384y3 [0,-1,0,-100472,-12224400] 2 6384y4 [0,-1,0,5768,-804752] 2
6384z (2 curves)	0	2- 3+ 7- 19-	2- 3+  4 7-  2  4  0 19-
Curve Equation t 6384z1 [0,-1,0,-6896,-218112] 2 6384z2 [0,-1,0,-7456,-180032] 2
6384ba (2 curves)	0	2- 3+ 7- 19-	2- 3+ -4 7-  6 -4 -4 19-
Curve Equation t 6384ba1 [0,-1,0,-16240,-739904] 2 6384ba2 [0,-1,0,-52080,3704256] 2
6384bb (2 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+  2  0 -4 19+
Curve Equation t Generators 6384bb1 [0,1,0,-208,980] 2 [-4:42:1] 6384bb2 [0,1,0,-768,-7308] 2 [-12:18:1]
6384bc (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7-  2  6 -8 19+
Curve Equation t 6384bc1 [0,1,0,247,1662] 2 6384bc2 [0,1,0,-1468,14696] 2
6384bd (2 curves)	0	2- 3- 7- 19+	2- 3- -2 7- -2 -6 -4 19+
Curve Equation t 6384bd1 [0,1,0,-5664,129012] 2 6384bd2 [0,1,0,12256,795636] 2
6384be (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  2 -4 -4 19-
Curve Equation t Generators 6384be1 [0,1,0,-3368,21492] 2 [-44:294:1] 6384be2 [0,1,0,-30808,-2074924] 2 [-100:126:1]
6384bf (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -2  2  0 19-
Curve Equation t Generators 6384bf1 [0,1,0,-113,22710] 2 [46:342:1] 6384bf2 [0,1,0,-12748,543272] 2 [-49:1026:1]
6384bg (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -2 -4  0 19-
Curve Equation t Generators 6384bg1 [0,1,0,-168,-588] 2 [-4:6:1] 6384bg2 [0,1,0,-2408,-46284] 2 [484:10602:1]

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

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