Cremona's table of elliptic curves

6864 = 2⁴ · 3 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
6864a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  0  0 11+ 13+ -4  0
Curve Equation t Generators 6864a1 [0,-1,0,2852,212608] 2 [399:13708:27] 6864a2 [0,-1,0,-40888,2941984] 2 [206:1794:1]
6864b (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2 -4 11+ 13+  4  2
Curve Equation t Generators 6864b1 [0,-1,0,88,0] 2 [4:20:1] 6864b2 [0,-1,0,-352,352] 2 [-12:52:1]
6864c (4 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -2  0 11+ 13+ -2  4
Curve Equation t Generators 6864c1 [0,-1,0,36,0] 2 [1:6:1] 6864c2 [0,-1,0,-144,144] 4 [-10:22:1] 6864c3 [0,-1,0,-1464,-20976] 2 [-22:10:1] 6864c4 [0,-1,0,-1704,27600] 2 [26:14:1]
6864d (4 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -4 11+ 13- -6  0
Curve Equation t 6864d1 [0,-1,0,-767,-5742] 2 6864d2 [0,-1,0,-4412,109440] 4 6864d3 [0,-1,0,-69752,7113888] 4 6864d4 [0,-1,0,2608,418320] 2
6864e (1 curve)	2	2+ 3+ 11- 13+	2+ 3+ -3 -3 11- 13+ -4 -6
Curve Equation t Generators 6864e1 [0,-1,0,168,144] 1 [24:-132:1]&[8:44:1]
6864f (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  2  0 11- 13-  8 -2
Curve Equation t Generators 6864f1 [0,-1,0,5928,-299520] 2 [62:550:1] 6864f2 [0,-1,0,-47312,-3238368] 2 [-92:572:1]
6864g (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -1 -3 11+ 13-  0  6
Curve Equation t Generators 6864g1 [0,1,0,-4856,152436] 1 [-62:468:1]
6864h (6 curves)	1	2+ 3- 11+ 13-	2+ 3- -2  0 11+ 13-  2 -4
Curve Equation t Generators 6864h1 [0,1,0,-4719,-126360] 2 [10680:39816:125] 6864h2 [0,1,0,-4724,-126084] 4 [154:1680:1] 6864h3 [0,1,0,-7144,14276] 8 [-73:390:1] 6864h4 [0,1,0,-2384,-248700] 2 [9700:108885:64] 6864h5 [0,1,0,-81504,8907732] 4 [174:156:1] 6864h6 [0,1,0,28496,142580] 4 [44:1218:1]
6864i (2 curves)	1	2+ 3- 11- 13+	2+ 3-  0 -4 11- 13+  8 -4
Curve Equation t Generators 6864i1 [0,1,0,12,252] 2 [3:18:1] 6864i2 [0,1,0,-528,4356] 2 [0:66:1]
6864j (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -1 -1 11+ 13+  4 -6
Curve Equation t 6864j1 [0,-1,0,-92390416,-342145483328] 1 6864j2 [0,-1,0,261649424,21474752782912] 1
6864k (2 curves)	0	2- 3+ 11+ 13+	2- 3+  2 -4 11+ 13+ -8  6
Curve Equation t 6864k1 [0,-1,0,-5312,384000] 2 6864k2 [0,-1,0,-117952,15612928] 2
6864l (2 curves)	0	2- 3+ 11+ 13+	2- 3+  4  4 11+ 13+  4  4
Curve Equation t 6864l1 [0,-1,0,-16,448] 2 6864l2 [0,-1,0,-976,11968] 2
6864m (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  2 11+ 13-  0 -2
Curve Equation t Generators 6864m1 [0,-1,0,-109,-18116] 2 [18568:79833:512] 6864m2 [0,-1,0,-11044,-438020] 2 [153:1196:1]
6864n (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2 -4 11+ 13-  0 -2
Curve Equation t Generators 6864n1 [0,-1,0,-104,624] 2 [4:16:1] 6864n2 [0,-1,0,-1864,31600] 2 [12:104:1]
6864o (2 curves)	1	2- 3+ 11+ 13-	2- 3+  3  1 11+ 13-  0 -2
Curve Equation t Generators 6864o1 [0,-1,0,-1663784,-825471888] 1 [8761115117:323917865244:3869893] 6864o2 [0,-1,0,-1291544,-1204934928] 1 [1529:19812:1]
6864p (4 curves)	0	2- 3+ 11- 13-	2- 3+  0 -2 11- 13-  6 -2
Curve Equation t 6864p1 [0,-1,0,-95173,11162788] 2 6864p2 [0,-1,0,-193588,-15763556] 2 6864p3 [0,-1,0,-7676773,8189396800] 2 6864p4 [0,-1,0,-7676908,8189094508] 2
6864q (4 curves)	0	2- 3+ 11- 13-	2- 3+  0  4 11- 13-  0  4
Curve Equation t 6864q1 [0,-1,0,5752,-122640] 2 6864q2 [0,-1,0,-28808,-1062672] 2 6864q3 [0,-1,0,-59768,7530096] 2 6864q4 [0,-1,0,-1042808,410183280] 2
6864r (6 curves)	0	2- 3+ 11- 13-	2- 3+ -2  0 11- 13- -6  4
Curve Equation t 6864r1 [0,-1,0,-384,-4032] 2 6864r2 [0,-1,0,-6864,-216576] 4 6864r3 [0,-1,0,-109824,-13972032] 2 6864r4 [0,-1,0,-7584,-167616] 8 6864r5 [0,-1,0,-48144,3953280] 4 6864r6 [0,-1,0,21456,-1166592] 4
6864s (2 curves)	2	2- 3+ 11- 13-	2- 3+ -3 -5 11- 13-  0 -2
Curve Equation t Generators 6864s1 [0,-1,0,208,2496] 1 [-8:16:1]&[2:54:1] 6864s2 [0,-1,0,-9872,381504] 1 [-746569040:6168700824:8365427]&[482:-10362:1]
6864t (1 curve)	1	2- 3- 11+ 13+	2- 3- -1  3 11+ 13+ -4  2
Curve Equation t Generators 6864t1 [0,1,0,-736,-8332] 1 [58:384:1]
6864u (4 curves)	1	2- 3- 11+ 13+	2- 3-  2  0 11+ 13+  2 -4
Curve Equation t Generators 6864u1 [0,1,0,88,7092] 2 [7:90:1] 6864u2 [0,1,0,-5032,132020] 4 [-4:390:1] 6864u3 [0,1,0,-12072,-326988] 2 [-66:432:1] 6864u4 [0,1,0,-79912,8668340] 2 [188:570:1]
6864v (2 curves)	0	2- 3- 11+ 13-	2- 3-  0  0 11+ 13- -4  8
Curve Equation t 6864v1 [0,1,0,32,-76] 2 6864v2 [0,1,0,-208,-940] 2
6864w (4 curves)	0	2- 3- 11+ 13-	2- 3- -2  0 11+ 13-  6  0
Curve Equation t 6864w1 [0,1,0,-2464,-55564] 2 6864w2 [0,1,0,-41184,-3230604] 4 6864w3 [0,1,0,-658944,-206102988] 2 6864w4 [0,1,0,-42944,-2941260] 4
6864x (2 curves)	0	2- 3- 11+ 13-	2- 3-  4  0 11+ 13-  0  0
Curve Equation t 6864x1 [0,1,0,-36816,2718612] 2 6864x2 [0,1,0,-589776,174136212] 2
6864y (4 curves)	0	2- 3- 11- 13+	2- 3-  2 -4 11- 13+  2  4
Curve Equation t 6864y1 [0,1,0,-17072,-863148] 2 6864y2 [0,1,0,-22192,-308140] 4 6864y3 [0,1,0,-212272,37327700] 2 6864y4 [0,1,0,85968,-2341548] 4
6864z (2 curves)	1	2- 3- 11- 13-	2- 3-  0  2 11- 13- -2 -6
Curve Equation t Generators 6864z1 [0,1,0,-533,-4914] 2 [34:132:1] 6864z2 [0,1,0,-668,-2376] 2 [-17:66:1]
6864ba (1 curve)	1	2- 3- 11- 13-	2- 3- -3 -1 11- 13- -8  6
Curve Equation t Generators 6864ba1 [0,1,0,-9152,-7614156] 1 [970:29952:1]

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