Cremona's table of elliptic curves

128340 = 2² · 3² · 5 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
128340a (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -2  4 -2  2 -2
Curve Equation t Generators 128340a1 [0,0,0,-24048,-1430747] 2 [3279:187550:1] 128340a2 [0,0,0,-384423,-91740722] 2 [26418:1489147:8]
128340b (2 curves)	1	2- 3+ 5- 23- 31-	2- 3+ 5- -2 -4 -2 -2 -2
Curve Equation t Generators 128340b1 [0,0,0,-216432,38630169] 2 [300:837:1] 128340b2 [0,0,0,-3459807,2476999494] 2 [1075:62:1]
128340c (2 curves)	1	2- 3- 5+ 23+ 31+	2- 3- 5+  2  4  2  2 -2
Curve Equation t Generators 128340c1 [0,0,0,-4188,-28487] 2 [-36:275:1] 128340c2 [0,0,0,-39063,2949838] 2 [-121:2430:1]
128340d (2 curves)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  2  4 -4 -4 -4
Curve Equation t 128340d1 [0,0,0,-642828,198376517] 2 128340d2 [0,0,0,-644223,197472278] 2
128340e (2 curves)	2	2- 3- 5+ 23+ 31-	2- 3- 5+ -4 -4 -4 -2 -2
Curve Equation t Generators 128340e1 [0,0,0,252,-783] 2 [4:17:1]&[12:63:1] 128340e2 [0,0,0,-1143,-6642] 2 [-29:46:1]&[-21:90:1]
128340f (2 curves)	0	2- 3- 5+ 23- 31+	2- 3- 5+ -2  4 -4  0 -4
Curve Equation t 128340f1 [0,0,0,-554441268,-4668375190727] 2 128340f2 [0,0,0,-1842753063,25006856357662] 2
128340g (1 curve)	0	2- 3- 5+ 23- 31+	2- 3- 5+ -2 -6  1  0  1
Curve Equation t 128340g1 [0,0,0,1869694017,108843118898182] 1
128340h (1 curve)	0	2- 3- 5+ 23- 31+	2- 3- 5+ -2 -6  5  0  5
Curve Equation t 128340h1 [0,0,0,-2703,-54218] 1
128340i (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+  2  4  2 -6  6
Curve Equation t Generators 128340i1 [0,0,0,-111828,14373173] 2 [211:414:1] 128340i2 [0,0,0,-146703,4656998] 2 [-122:4554:1]
128340j (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+  2 -4  6 -6  6
Curve Equation t Generators 128340j1 [0,0,0,-5268,147017] 2 [46:45:1] 128340j2 [0,0,0,-6663,63038] 2 [-17:414:1]
128340k (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -2  4 -2  6  2
Curve Equation t Generators 128340k1 [0,0,0,-135948,462053] 2 [11899:1297350:1] 128340k2 [0,0,0,-1476543,-688335658] 2 [95378:10357875:8]
128340l (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -2 -4  0  4 -4
Curve Equation t Generators 128340l1 [0,0,0,-144615468,669376150517] 2 [232153376:-672709221:32768] 128340l2 [0,0,0,-144616863,669362590838] 2 [3778:420624:1]
128340m (1 curve)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -2  6 -2 -3 -5
Curve Equation t Generators 128340m1 [0,0,0,-7488,-290412] 1 [171541:71047999:1]
128340n (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -4  0  5 -6  5
Curve Equation t Generators 128340n1 [0,0,0,5577,758878] 1 [1988:62775:64] 128340n2 [0,0,0,-489423,131861878] 3 [-133:13950:1]
128340o (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5- -2 -6  1  0  3
Curve Equation t 128340o1 [0,0,0,-5779407,-5570827594] 1
128340p (1 curve)	1	2- 3- 5- 23+ 31-	2- 3- 5- -1  0 -6  3  0
Curve Equation t Generators 128340p1 [0,0,0,33,2774] 1 [-10:38:1]
128340q (1 curve)	1	2- 3- 5- 23+ 31-	2- 3- 5-  4  4  6 -7  5
Curve Equation t Generators 128340q1 [0,0,0,14208,208676] 1 [5:529:1]
128340r (1 curve)	0	2- 3- 5- 23- 31-	2- 3- 5- -2  2  3  4 -1
Curve Equation t 128340r1 [0,0,0,4713,-112066] 1

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