Cremona's table of elliptic curves

720 = 2⁴ · 3² · 5

Class	r	Atkin-Lehner	Eigenvalues
720a (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+ -2 -2  4 -2 -4
Curve Equation t Generators 720a1 [0,0,0,-3,18] 2 [1:4:1] 720a2 [0,0,0,-123,522] 2 [1:20:1]
720b (2 curves)	0	2+ 3+ 5-	2+ 3+ 5- -2  2  4  2 -4
Curve Equation t 720b1 [0,0,0,-27,-486] 2 720b2 [0,0,0,-1107,-14094] 2
720c (6 curves)	0	2+ 3- 5+	2+ 3- 5+  0 -4  6  6  4
Curve Equation t 720c1 [0,0,0,-138,623] 2 720c2 [0,0,0,-183,182] 4 720c3 [0,0,0,-1803,-29302] 4 720c4 [0,0,0,717,1442] 2 720c5 [0,0,0,-28803,-1881502] 2 720c6 [0,0,0,-723,-64078] 2
720d (4 curves)	0	2+ 3- 5+	2+ 3- 5+  4  4 -2 -2 -4
Curve Equation t 720d1 [0,0,0,-18,27] 2 720d2 [0,0,0,-63,-162] 4 720d3 [0,0,0,-963,-11502] 2 720d4 [0,0,0,117,-918] 2
720e (4 curves)	1	2+ 3- 5-	2+ 3- 5- -4  0 -6  2 -4
Curve Equation t Generators 720e1 [0,0,0,33,-34] 2 [5:16:1] 720e2 [0,0,0,-147,-286] 4 [-7:20:1] 720e3 [0,0,0,-1947,-33046] 2 [-25:2:1] 720e4 [0,0,0,-1227,16346] 4 [-23:180:1]
720f (4 curves)	0	2- 3+ 5+	2- 3+ 5+ -2  6 -4  6  4
Curve Equation t 720f1 [0,0,0,-123,-598] 2 720f2 [0,0,0,-2043,-35542] 2 720f3 [0,0,0,837,2538] 2 720f4 [0,0,0,-3483,20682] 2
720g (4 curves)	1	2- 3+ 5-	2- 3+ 5- -2 -6 -4 -6  4
Curve Equation t Generators 720g1 [0,0,0,93,-94] 2 [7:30:1] 720g2 [0,0,0,-387,-766] 2 [-7:40:1] 720g3 [0,0,0,-1107,16146] 2 [15:54:1] 720g4 [0,0,0,-18387,959634] 2 [73:80:1]
720h (8 curves)	1	2- 3- 5+	2- 3- 5+  0 -4 -2 -2 -4
Curve Equation t Generators 720h1 [0,0,0,-3,322] 2 [-1:18:1] 720h2 [0,0,0,-723,7378] 4 [-1:90:1] 720h3 [0,0,0,-1443,-9758] 4 [-31:72:1] 720h4 [0,0,0,-11523,476098] 2 [63:14:1] 720h5 [0,0,0,-19443,-1042958] 4 [-81:22:1] 720h6 [0,0,0,5037,-73262] 2 [23:234:1] 720h7 [0,0,0,-311043,-66769598] 2 [767:12078:1] 720h8 [0,0,0,-15843,-1441118] 2 [279:3982:1]
720i (4 curves)	0	2- 3- 5-	2- 3- 5- -2  0  2  6  4
Curve Equation t 720i1 [0,0,0,-12,11] 2 720i2 [0,0,0,33,74] 2 720i3 [0,0,0,-372,-2761] 2 720i4 [0,0,0,-327,-3454] 2
720j (8 curves)	0	2- 3- 5-	2- 3- 5-  4  0  2 -6  4
Curve Equation t 720j1 [0,0,0,213,3674] 2 720j2 [0,0,0,-2667,48026] 4 720j3 [0,0,0,-1947,-108214] 2 720j4 [0,0,0,-9867,-324934] 2 720j5 [0,0,0,-41547,3259514] 4 720j6 [0,0,0,-48027,-4043446] 4 720j7 [0,0,0,-768027,-259067446] 2 720j8 [0,0,0,-65307,-874294] 4

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