Cremona's table of elliptic curves

42480 = 2⁴ · 3² · 5 · 59

Class	r	Atkin-Lehner	Eigenvalues
42480a (1 curve)	2	2+ 3+ 5+ 59-	2+ 3+ 5+ -3  0 -3  1 -8
Curve Equation t Generators 42480a1 [0,0,0,837,-16038] 1 [19:82:1]&[27:162:1]
42480b (1 curve)	2	2+ 3+ 5- 59+	2+ 3+ 5- -3  0 -3 -1 -8
Curve Equation t Generators 42480b1 [0,0,0,93,594] 1 [-5:2:1]&[3:-30:1]
42480c (2 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  0  0  0  2  4
Curve Equation t 42480c1 [0,0,0,-198,5103] 2 42480c2 [0,0,0,-5823,170478] 2
42480d (4 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  0 -4  2 -2  4
Curve Equation t 42480d1 [0,0,0,-498,9947] 2 42480d2 [0,0,0,-10623,421022] 4 42480d3 [0,0,0,-13323,190442] 2 42480d4 [0,0,0,-169923,26960402] 2
42480e (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+  3  2 -1  7 -2
Curve Equation t 42480e1 [0,0,0,-322923,-74707702] 1
42480f (2 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  4  0 -4 -6 -4
Curve Equation t 42480f1 [0,0,0,42,-1793] 2 42480f2 [0,0,0,-1983,-32978] 2
42480g (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  1  2 -5 -1  6
Curve Equation t Generators 42480g1 [0,0,0,-1443,-21422] 1 [51:194:1]
42480h (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -2  3 -1  5 -1
Curve Equation t Generators 42480h1 [0,0,0,-228,-1172] 1 [-7:9:1]
42480i (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  4  0 -4  2 -4
Curve Equation t Generators 42480i1 [0,0,0,-84198,9403603] 2 [241681:424746:1331] 42480i2 [0,0,0,-81543,10024342] 2 [29:2772:1]
42480j (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+ -4  0  4 -6 -4
Curve Equation t Generators 42480j1 [0,0,0,-1038,-11297] 2 [311:5454:1] 42480j2 [0,0,0,1617,-59618] 2 [29:108:1]
42480k (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  2 -3  3 -1 -1
Curve Equation t Generators 42480k1 [0,0,0,-119892,-15313876] 1 [-167:225:1]
42480l (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  4  3 -5 -7  3
Curve Equation t Generators 42480l1 [0,0,0,-2172,-35764] 1 [-23:45:1]
42480m (1 curve)	2	2+ 3- 5- 59-	2+ 3- 5- -1 -6 -3 -7  2
Curve Equation t Generators 42480m1 [0,0,0,-102747,20741114] 1 [-362:3240:1]&[-77:5310:1]
42480n (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -5  3  1  7 -6
Curve Equation t 42480n1 [0,0,0,-2667,-56774] 1
42480o (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  0  4  4  0 -4
Curve Equation t 42480o1 [0,0,0,-28683,1010618] 2 42480o2 [0,0,0,94197,7375802] 2
42480p (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  1 -2  1 -7  6
Curve Equation t 42480p1 [0,0,0,-1143,45442] 1
42480q (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  1  6 -1 -3 -2
Curve Equation t 42480q1 [0,0,0,-63,4058] 1 42480q2 [0,0,0,-21303,1196802] 1
42480r (1 curve)	2	2- 3+ 5+ 59+	2- 3+ 5+  2 -5 -1 -3 -1
Curve Equation t Generators 42480r1 [0,0,0,-48,108] 1 [-3:15:1]&[-2:14:1]
42480s (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+ -2  3  5 -3  1
Curve Equation t 42480s1 [0,0,0,-1248,-5008] 1 42480s2 [0,0,0,-57888,5360688] 1
42480t (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  3  4 -5 -3  8
Curve Equation t 42480t1 [0,0,0,-243,-2638] 1
42480u (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  1  0 -1 -3  4
Curve Equation t Generators 42480u1 [0,0,0,44037,8272682] 1 [-86:1962:1] 42480u2 [0,0,0,-2167803,1230502698] 1 [906:3186:1]
42480v (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  2  1 -1  5 -7
Curve Equation t Generators 42480v1 [0,0,0,-3648,84528] 1 [33:9:1]
42480w (2 curves)	1	2- 3+ 5- 59+	2- 3+ 5-  1  0 -1  3  4
Curve Equation t Generators 42480w1 [0,0,0,-240867,-45574174] 1 [862:19680:1] 42480w2 [0,0,0,396333,-223362414] 1 [8010213510:236347829856:10793861]
42480x (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  2 -1 -1 -5 -7
Curve Equation t Generators 42480x1 [0,0,0,-32832,-2282256] 1 [-846:675:8]
42480y (2 curves)	0	2- 3+ 5- 59-	2- 3+ 5-  0 -4  4  0 -4
Curve Equation t 42480y1 [0,0,0,-258147,-27286686] 2 42480y2 [0,0,0,847773,-199146654] 2
42480z (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5-  1  2  1  7  6
Curve Equation t 42480z1 [0,0,0,-10287,-1226934] 1
42480ba (2 curves)	0	2- 3+ 5- 59-	2- 3+ 5-  1 -6 -1  3 -2
Curve Equation t 42480ba1 [0,0,0,-2367,-44326] 1 42480ba2 [0,0,0,-567,-109566] 1
42480bb (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5-  2  5 -1  3 -1
Curve Equation t 42480bb1 [0,0,0,-432,-2916] 1
42480bc (2 curves)	0	2- 3+ 5- 59-	2- 3+ 5- -2 -3  5  3  1
Curve Equation t 42480bc1 [0,0,0,-6432,-198544] 1 42480bc2 [0,0,0,-11232,135216] 1
42480bd (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5-  3 -4 -5  3  8
Curve Equation t 42480bd1 [0,0,0,-2187,71226] 1
42480be (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0  0 -4 -2  0
Curve Equation t Generators 42480be1 [0,0,0,-32628,-2310077] 2 [83322859:6892897230:12167] 42480be2 [0,0,0,-524703,-146291222] 2 [105775470643017542:8711899827827933115:15412223218456]
42480bf (6 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0  4 -2  6 -4
Curve Equation t Generators 42480bf1 [0,0,0,448557,-107555182] 2 [943024259502538775:-25025520119459741696:2849698854859375] 42480bf2 [0,0,0,-2500563,-1003497838] 4 [263605001:38695217850:12167] 42480bf3 [0,0,0,-16094163,24098443922] 2 [324690504314603:-47159356047913550:14905098181] 42480bf4 [0,0,0,-36092883,-83445769582] 4 [244900180747984619:25859612981085278400:17339790140387] 42480bf5 [0,0,0,-32204883,-102121388782] 2 [4857737343366420082687530192821241925:-692038745824675837788203814977416602066:221083645336202755829727778796875] 42480bf6 [0,0,0,-577458003,-5341075541998] 2 [124117981:26211913200:2197]
42480bg (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  0 -5  1  3 -5
Curve Equation t Generators 42480bg1 [0,0,0,-15888,770812] 1 [74:18:1]
42480bh (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  0 -5 -5  3  5
Curve Equation t Generators 42480bh1 [0,0,0,-768,-3472] 1 [-23:45:1]
42480bi (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  2 -3 -1 -3  5
Curve Equation t Generators 42480bi1 [0,0,0,-40368,3071792] 1 [-191:1953:1] 42480bi2 [0,0,0,-2783568,-1787499088] 1 [-6013337515452371:-795958480984653:6250857632461]
42480bj (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+ -2  1  1  5  3
Curve Equation t Generators 42480bj1 [0,0,0,-1128,-11252] 1 [-22:54:1]
42480bk (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3  1 -5  3 -2
Curve Equation t Generators 42480bk1 [0,0,0,37437,-2956862] 1 [562:1125:8]
42480bl (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3 -2  1  3  2
Curve Equation t Generators 42480bl1 [0,0,0,113397,199795898] 1 [-3934:40095:8]
42480bm (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3 -5  1 -3  8
Curve Equation t Generators 42480bm1 [0,0,0,-50403,4370402] 1 [151:450:1]
42480bn (4 curves)	1	2- 3- 5+ 59+	2- 3- 5+ -4  4  2  6 -4
Curve Equation t Generators 42480bn1 [0,0,0,117,22842] 2 [54:432:1] 42480bn2 [0,0,0,-11403,458298] 4 [-27:864:1] 42480bn3 [0,0,0,-25803,-932742] 2 [-57:594:1] 42480bn4 [0,0,0,-181323,29718522] 2 [327:2322:1]
42480bo (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  0 -4  6  0
Curve Equation t 42480bo1 [0,0,0,132,-133] 2 42480bo2 [0,0,0,-543,-1078] 2
42480bp (4 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0 -4  6  6  4
Curve Equation t 42480bp1 [0,0,0,-13323,-591878] 2 42480bp2 [0,0,0,-14043,-524342] 4 42480bp3 [0,0,0,28437,-3081638] 2 42480bp4 [0,0,0,-68043,6355258] 4
42480bq (1 curve)	2	2- 3- 5+ 59-	2- 3- 5+ -1 -5 -7 -1  2
Curve Equation t Generators 42480bq1 [0,0,0,117,9018] 1 [21:144:1]&[-11:80:1]
42480br (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  1 -2  1 -7  6
Curve Equation t 42480br1 [0,0,0,-4827,-4750454] 1
42480bs (1 curve)	0	2- 3- 5- 59+	2- 3- 5- -1  0  1 -7 -4
Curve Equation t 42480bs1 [0,0,0,33,-614] 1
42480bt (2 curves)	0	2- 3- 5- 59+	2- 3- 5- -2  4  4  2  0
Curve Equation t 42480bt1 [0,0,0,-552,-3629] 2 42480bt2 [0,0,0,-3207,66994] 2
42480bu (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  3 -3 -5 -1  2
Curve Equation t 42480bu1 [0,0,0,-103827,26716754] 1
42480bv (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  3  4  7 -3  4
Curve Equation t 42480bv1 [0,0,0,-2847,101914] 1
42480bw (2 curves)	0	2- 3- 5- 59+	2- 3- 5-  4  3 -1 -3 -5
Curve Equation t 42480bw1 [0,0,0,-4512,105356] 1 42480bw2 [0,0,0,-82272,-9066436] 1
42480bx (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  5  6 -5 -3  6
Curve Equation t 42480bx1 [0,0,0,-10227,-416846] 1
42480by (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -2  3  5  6
Curve Equation t Generators 42480by1 [0,0,0,2373,1514] 1 [10:162:1]
42480bz (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -5 -3 -1 -6
Curve Equation t Generators 42480bz1 [0,0,0,-158907,1132009706] 1 [-275:33984:1]
42480ca (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -2  3  3 -1 -3
Curve Equation t Generators 42480ca1 [0,0,0,-18192,942064] 1 [-31:1215:1]
42480cb (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -2  3  5  3 -5
Curve Equation t Generators 42480cb1 [0,0,0,-4013832,-2366808244] 1 [-1238:26550:1] 42480cb2 [0,0,0,-303370392,-2033798359876] 1 [-22090874:281250:2197]
42480cc (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -5 -3 -1 -3  4
Curve Equation t Generators 42480cc1 [0,0,0,22533,282026] 1 [757:21240:1] 42480cc2 [0,0,0,-274827,-62223046] 1 [853:18000:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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