Cremona's table of elliptic curves

120224 = 2⁵ · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
120224a (1 curve)	0	2+ 13- 17+	2+ -1 -1 -3 -2 13- 17+  2
Curve Equation t 120224a1 [0,-1,0,-96,-19256] 1
120224b (2 curves)	2	2+ 13- 17+	2+  2  0 -4  0 13- 17+ -4
Curve Equation t Generators 120224b1 [0,-1,0,-5298,110216] 2 [-58:468:1]&[2012:90168:1] 120224b2 [0,-1,0,13487,700065] 2 [2403:117912:1]&[54273:2436848:27]
120224c (2 curves)	0	2+ 13- 17+	2+  2 -4  0  4 13- 17+ -4
Curve Equation t 120224c1 [0,-1,0,-1891890,-1000962664] 2 120224c2 [0,-1,0,-1873105,-1021832799] 2
120224d (2 curves)	0	2- 13+ 17+	2-  2  0 -4 -2 13+ 17+  0
Curve Equation t 120224d1 [0,-1,0,-34198,-2035320] 2 120224d2 [0,-1,0,-522608,-145237132] 2
120224e (2 curves)	0	2- 13+ 17+	2-  2  2  2  0 13+ 17+ -4
Curve Equation t 120224e1 [0,-1,0,-4142,-14632] 2 120224e2 [0,-1,0,-41712,3276500] 2
120224f (2 curves)	0	2- 13+ 17+	2- -2  0  4  2 13+ 17+  0
Curve Equation t 120224f1 [0,1,0,-34198,2035320] 2 120224f2 [0,1,0,-522608,145237132] 2
120224g (2 curves)	0	2- 13+ 17+	2- -2  2 -2  0 13+ 17+  4
Curve Equation t 120224g1 [0,1,0,-4142,14632] 2 120224g2 [0,1,0,-41712,-3276500] 2
120224h (1 curve)	1	2- 13- 17+	2-  1 -1  3  2 13- 17+ -2
Curve Equation t Generators 120224h1 [0,1,0,-96,19256] 1 [750:5318:27]
120224i (2 curves)	1	2- 13- 17+	2- -2  0  4  0 13- 17+  4
Curve Equation t Generators 120224i1 [0,1,0,-5298,-110216] 2 [666:1445:8] 120224i2 [0,1,0,13487,-700065] 2 [6845:566440:1]
120224j (2 curves)	1	2- 13- 17+	2- -2 -4  0 -4 13- 17+  4
Curve Equation t Generators 120224j1 [0,1,0,-1891890,1000962664] 2 [6650:-14739:8] 120224j2 [0,1,0,-1873105,1021832799] 2 [861:6936:1]

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