Cremona's table of elliptic curves

27360 = 2⁵ · 3² · 5 · 19

Class	r	Atkin-Lehner	Eigenvalues
27360a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -4  4  2 -6 19+
Curve Equation t Generators 27360a1 [0,0,0,87,288] 2 [3:24:1] 27360a2 [0,0,0,-483,2682] 2 [22:52:1]
27360b (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  6  4  2 19-
Curve Equation t 27360b1 [0,0,0,-6453,204228] 2 27360b2 [0,0,0,-103923,12894822] 2
27360c (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  4 -4  2 -6 19-
Curve Equation t 27360c1 [0,0,0,87,-288] 2 27360c2 [0,0,0,-483,-2682] 2
27360d (2 curves)	0	2+ 3+ 5- 19+	2+ 3+ 5-  0  0  2 -6 19+
Curve Equation t 27360d1 [0,0,0,-297,3024] 2 27360d2 [0,0,0,-5427,153846] 2
27360e (2 curves)	0	2+ 3+ 5- 19+	2+ 3+ 5- -2  6  4 -2 19+
Curve Equation t 27360e1 [0,0,0,-717,7564] 2 27360e2 [0,0,0,-11547,477586] 2
27360f (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  0  0  2 -6 19-
Curve Equation t Generators 27360f1 [0,0,0,-297,-3024] 2 [1371:50760:1] 27360f2 [0,0,0,-5427,-153846] 2 [171470:6341428:125]
27360g (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0  4 -2 -2 19+
Curve Equation t 27360g1 [0,0,0,-813,812] 4 27360g2 [0,0,0,3237,6482] 2 27360g3 [0,0,0,-8508,-300832] 2 27360g4 [0,0,0,-9363,347942] 2
27360h (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  2  4  6  0 19+
Curve Equation t 27360h1 [0,0,0,-1173,-29068] 2 27360h2 [0,0,0,-23043,-1345642] 2
27360i (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  4  0 -6 -2 19+
Curve Equation t 27360i1 [0,0,0,-1533,-17732] 4 27360i2 [0,0,0,3597,-111098] 2 27360i3 [0,0,0,-8283,275218] 2 27360i4 [0,0,0,-22908,-1334432] 2
27360j (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  0 -6  2 19-
Curve Equation t Generators 27360j1 [0,0,0,-573213,122134012] 4 [1452:48488:1] 27360j2 [0,0,0,1457412,793052512] 2 [572424:31644481:512] 27360j3 [0,0,0,-3306963,-2216315738] 2 [-1051:9918:1] 27360j4 [0,0,0,-8468283,9484108018] 2 [2846778:45256936:1331]
27360k (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  2  2  0 -2 19+
Curve Equation t Generators 27360k1 [0,0,0,-18957,1301996] 2 [3890:82773:8] 27360k2 [0,0,0,-327612,72169184] 2 [325:153:1]
27360l (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  2  4 -4 -6 19+
Curve Equation t Generators 27360l1 [0,0,0,-1557,23544] 2 [33:90:1] 27360l2 [0,0,0,-2412,-5184] 2 [-18:180:1]
27360m (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -2  0 -2  4 19+
Curve Equation t Generators 27360m1 [0,0,0,123,-2684] 2 [36:220:1] 27360m2 [0,0,0,-2307,-40106] 2 [-27:50:1]
27360n (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -2  2 -4  6 19+
Curve Equation t Generators 27360n1 [0,0,0,123,-556] 2 [80:722:1] 27360n2 [0,0,0,-732,-5344] 2 [-20:36:1]
27360o (2 curves)	2	2+ 3- 5- 19-	2+ 3- 5- -2 -4 -4 -6 19-
Curve Equation t Generators 27360o1 [0,0,0,-1557,-23544] 2 [-23:10:1]&[52:190:1] 27360o2 [0,0,0,-2412,5184] 2 [78:-540:1]&[-42:180:1]
27360p (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0  0  2  6 19+
Curve Equation t 27360p1 [0,0,0,-33,-112] 2 27360p2 [0,0,0,-603,-5698] 2
27360q (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+ -2 -6  4  2 19+
Curve Equation t 27360q1 [0,0,0,-6453,-204228] 2 27360q2 [0,0,0,-103923,-12894822] 2
27360r (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0  0  2  6 19-
Curve Equation t Generators 27360r1 [0,0,0,-33,112] 2 [-1:12:1] 27360r2 [0,0,0,-603,5698] 2 [18:26:1]
27360s (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5- -4 -4  2  6 19+
Curve Equation t Generators 27360s1 [0,0,0,783,-7776] 2 [28:190:1] 27360s2 [0,0,0,-4347,-72414] 2 [82:350:1]
27360t (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2 -6  4 -2 19-
Curve Equation t 27360t1 [0,0,0,-717,-7564] 2 27360t2 [0,0,0,-11547,-477586] 2
27360u (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  4  4  2  6 19-
Curve Equation t 27360u1 [0,0,0,783,7776] 2 27360u2 [0,0,0,-4347,72414] 2
27360v (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0  0 -6  2 19+
Curve Equation t Generators 27360v1 [0,0,0,-573213,-122134012] 4 [88817285024:-4976197881426:26730899] 27360v2 [0,0,0,1457412,-793052512] 2 [5518:418644:1] 27360v3 [0,0,0,-3306963,2216315738] 2 [6778918487629366:163062428396609547:3883218726232] 27360v4 [0,0,0,-8468283,-9484108018] 2 [-3701087:2053026:2197]
27360w (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3  0  5  3 19+
Curve Equation t Generators 27360w1 [0,0,0,-363,2738] 1 [14:20:1]
27360x (4 curves)	2	2- 3- 5+ 19-	2- 3- 5+  0 -4 -2 -2 19-
Curve Equation t Generators 27360x1 [0,0,0,-813,-812] 4 [-16:90:1]&[-3:40:1] 27360x2 [0,0,0,3237,-6482] 2 [21:266:1]&[38:414:1] 27360x3 [0,0,0,-8508,300832] 2 [62:-108:1]&[-91:567:1] 27360x4 [0,0,0,-9363,-347942] 2 [-54:14:1]&[138:994:1]
27360y (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -4  6  0 19-
Curve Equation t 27360y1 [0,0,0,-1173,29068] 2 27360y2 [0,0,0,-23043,1345642] 2
27360z (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -3  0  5  3 19-
Curve Equation t 27360z1 [0,0,0,-363,-2738] 1
27360ba (4 curves)	2	2- 3- 5+ 19-	2- 3- 5+ -4  0 -6 -2 19-
Curve Equation t Generators 27360ba1 [0,0,0,-1533,17732] 4 [-41:108:1]&[-19:200:1] 27360ba2 [0,0,0,3597,111098] 2 [-22:146:1]&[118:1476:1] 27360ba3 [0,0,0,-8283,-275218] 2 [-59:90:1]&[166:1710:1] 27360ba4 [0,0,0,-22908,1334432] 2 [94:-108:1]&[-74:1620:1]
27360bb (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  0 -2  2  2 19+
Curve Equation t 27360bb1 [0,0,0,52323,3105704] 2 27360bb2 [0,0,0,-256332,27304256] 2
27360bc (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2  0  0  2 19+
Curve Equation t 27360bc1 [0,0,0,-597,5456] 2 27360bc2 [0,0,0,-1452,-13696] 2
27360bd (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  0  2  2  2 19-
Curve Equation t Generators 27360bd1 [0,0,0,52323,-3105704] 2 [132:2470:1] 27360bd2 [0,0,0,-256332,-27304256] 2 [-172:3420:1]
27360be (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2  0 -2  4 19-
Curve Equation t Generators 27360be1 [0,0,0,123,2684] 2 [85:792:1] 27360be2 [0,0,0,-2307,40106] 2 [-38:270:1]
27360bf (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2 -2 -4  6 19-
Curve Equation t Generators 27360bf1 [0,0,0,123,556] 2 [5:36:1] 27360bf2 [0,0,0,-732,5344] 2 [-10:108:1]
27360bg (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2  0  0  2 19-
Curve Equation t Generators 27360bg1 [0,0,0,-597,-5456] 2 [60:418:1] 27360bg2 [0,0,0,-1452,13696] 2 [-28:180:1]
27360bh (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2 -2  0 -2 19-
Curve Equation t Generators 27360bh1 [0,0,0,-18957,-1301996] 2 [335:5472:1] 27360bh2 [0,0,0,-327612,-72169184] 2 [-330:76:1]

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