Cremona's table of elliptic curves

27144 = 2³ · 3² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
27144a (1 curve)	1	2+ 3+ 13- 29-	2+ 3+  1 -4  2 13- -3  0
Curve Equation t Generators 27144a1 [0,0,0,108,2052] 1 [6:-54:1]
27144b (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  0  4  0 13+ -2  6
Curve Equation t 27144b1 [0,0,0,105,-2486] 2 27144b2 [0,0,0,-2235,-38522] 2
27144c (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  2 -2  5 13+ -3  2
Curve Equation t 27144c1 [0,0,0,-11379,574382] 1
27144d (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -2  2  5 13+ -3 -2
Curve Equation t Generators 27144d1 [0,0,0,5469,-73154] 1 [230:3654:1]
27144e (4 curves)	1	2+ 3- 13- 29+	2+ 3-  2  0  0 13- -2  0
Curve Equation t Generators 27144e1 [0,0,0,-7554,-249095] 2 [413:8190:1] 27144e2 [0,0,0,-15159,336490] 4 [3330:65065:8] 27144e3 [0,0,0,52701,2521582] 2 [8670737530:-268957211886:94196375] 27144e4 [0,0,0,-204699,35628838] 2 [-241:8424:1]
27144f (2 curves)	0	2+ 3- 13- 29-	2+ 3-  2 -4  6 13-  6 -6
Curve Equation t 27144f1 [0,0,0,-70014,6934705] 2 27144f2 [0,0,0,-168879,-17010398] 2
27144g (1 curve)	0	2+ 3- 13- 29-	2+ 3- -3  1 -2 13- -3  3
Curve Equation t 27144g1 [0,0,0,-3459,-78626] 1
27144h (1 curve)	1	2- 3+ 13- 29+	2- 3+ -1 -4 -2 13-  3  0
Curve Equation t Generators 27144h1 [0,0,0,12,-76] 1 [4:6:1]
27144i (2 curves)	1	2- 3- 13+ 29+	2- 3-  0  0  0 13+ -2  6
Curve Equation t Generators 27144i1 [0,0,0,13324065,-1587248894] 2 [23197915:2133488322:12167] 27144i2 [0,0,0,-53508675,-12721583378] 2 [7143941473308913:-424883433699563832:761298595091]
27144j (2 curves)	0	2- 3- 13+ 29-	2- 3-  0  4 -2 13+  6  0
Curve Equation t 27144j1 [0,0,0,-1106310,447810509] 2 27144j2 [0,0,0,-992775,543338858] 2
27144k (2 curves)	0	2- 3- 13+ 29-	2- 3-  0  4 -4 13+  2 -2
Curve Equation t 27144k1 [0,0,0,-6330,-192683] 2 27144k2 [0,0,0,-2415,-428366] 2
27144l (1 curve)	0	2- 3- 13+ 29-	2- 3-  0 -4 -3 13+  1  6
Curve Equation t 27144l1 [0,0,0,-5403675,-5142085738] 1
27144m (2 curves)	0	2- 3- 13- 29+	2- 3-  2  2  4 13-  6  0
Curve Equation t 27144m1 [0,0,0,-1119,14402] 2 27144m2 [0,0,0,-939,19190] 2
27144n (4 curves)	0	2- 3- 13- 29+	2- 3-  2 -4  4 13-  6  4
Curve Equation t 27144n1 [0,0,0,-2874,35813] 2 27144n2 [0,0,0,-40719,3161810] 4 27144n3 [0,0,0,-35499,4002230] 2 27144n4 [0,0,0,-651459,202385198] 2
27144o (1 curve)	0	2- 3- 13- 29+	2- 3- -4 -4  1 13-  3  6
Curve Equation t 27144o1 [0,0,0,-6267,-191050] 1
27144p (1 curve)	1	2- 3- 13- 29-	2- 3-  1  2 -4 13-  1 -4
Curve Equation t Generators 27144p1 [0,0,0,-2172,-43292] 1 [344:6318:1]
27144q (1 curve)	1	2- 3- 13- 29-	2- 3-  1 -5 -4 13-  1 -4
Curve Equation t Generators 27144q1 [0,0,0,-1450827,672622758] 1 [86930:116:125]
27144r (2 curves)	1	2- 3- 13- 29-	2- 3- -2  0  2 13-  6  2
Curve Equation t Generators 27144r1 [0,0,0,-7086,229565] 2 [58:117:1] 27144r2 [0,0,0,-7671,189434] 2 [-11:522:1]
27144s (2 curves)	1	2- 3- 13- 29-	2- 3- -2  4  2 13- -2  2
Curve Equation t Generators 27144s1 [0,0,0,-126,405] 2 [18:63:1] 27144s2 [0,0,0,-711,-6966] 2 [-15:18:1]
27144t (2 curves)	1	2- 3- 13- 29-	2- 3- -2  4 -6 13- -2 -6
Curve Equation t Generators 27144t1 [0,0,0,-7086,-225331] 2 [-50:63:1] 27144t2 [0,0,0,-112791,-14580070] 2 [443:4732:1]
27144u (2 curves)	1	2- 3- 13- 29-	2- 3- -2 -4  2 13- -2  2
Curve Equation t Generators 27144u1 [0,0,0,-1120926,456726229] 2 [374:9477:1] 27144u2 [0,0,0,-1226631,365418250] 2 [963:8788:1]

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