Cremona's table of elliptic curves

71370 = 2 · 3² · 5 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
71370a (2 curves)	1	2+ 3+ 5+ 13+ 61+	2+ 3+ 5+  2  4 13+  0  2
Curve Equation t Generators 71370a1 [1,-1,0,-30390,9725300] 2 [-17:3208:1] 71370a2 [1,-1,0,-894390,324739700] 2 [460:3010:1]
71370b (1 curve)	0	2+ 3+ 5+ 13+ 61-	2+ 3+ 5+  2 -3 13+ -2 -1
Curve Equation t 71370b1 [1,-1,0,-576735,198237005] 1
71370c (2 curves)	1	2+ 3+ 5- 13+ 61-	2+ 3+ 5- -4  0 13+  2 -4
Curve Equation t Generators 71370c1 [1,-1,0,1551,-33507] 2 [57:-516:1] 71370c2 [1,-1,0,-10929,-340515] 2 [-54:327:1]
71370d (2 curves)	2	2+ 3- 5+ 13+ 61+	2+ 3- 5+ -4  0 13+ -6 -6
Curve Equation t Generators 71370d1 [1,-1,0,-3285,68341] 2 [-55:311:1]&[-22:371:1] 71370d2 [1,-1,0,3195,300325] 2 [30:-665:1]&[-22:479:1]
71370e (1 curve)	1	2+ 3- 5+ 13+ 61-	2+ 3- 5+  2 -5 13+  0 -5
Curve Equation t Generators 71370e1 [1,-1,0,-52380,4628200] 1 [131:-106:1]
71370f (2 curves)	1	2+ 3- 5+ 13- 61+	2+ 3- 5+ -4 -2 13- -4  0
Curve Equation t Generators 71370f1 [1,-1,0,-49590,-3458700] 2 [508:9858:1] 71370f2 [1,-1,0,-752310,-250956684] 2 [-500:354:1]
71370g (2 curves)	0	2+ 3- 5+ 13- 61-	2+ 3- 5+  2 -3 13-  0 -1
Curve Equation t 71370g1 [1,-1,0,-2790,389556] 1 71370g2 [1,-1,0,-499590,136041876] 3
71370h (1 curve)	1	2+ 3- 5- 13+ 61+	2+ 3- 5- -2  3 13+  0  1
Curve Equation t Generators 71370h1 [1,-1,0,30171411,16246609573] 1 [646:1093177:8]
71370i (2 curves)	1	2+ 3- 5- 13+ 61+	2+ 3- 5-  4  2 13+ -2  2
Curve Equation t Generators 71370i1 [1,-1,0,-937134,-279234860] 2 [-2738:10567:8] 71370i2 [1,-1,0,2011986,-1684785452] 2 [684:2986:1]
71370j (2 curves)	1	2+ 3- 5- 13+ 61+	2+ 3- 5- -4  2 13+  0  4
Curve Equation t Generators 71370j1 [1,-1,0,-11773134,15538274388] 2 [2577:46749:1] 71370j2 [1,-1,0,-14584014,7559310420] 2 [-1524:162762:1]
71370k (2 curves)	0	2+ 3- 5- 13+ 61-	2+ 3- 5-  0  4 13+ -2 -2
Curve Equation t 71370k1 [1,-1,0,-2926764,-1929228080] 2 71370k2 [1,-1,0,-46846764,-123403164080] 2
71370l (2 curves)	0	2+ 3- 5- 13+ 61-	2+ 3- 5-  2 -4 13+  0  8
Curve Equation t 71370l1 [1,-1,0,-71964,-7845552] 2 71370l2 [1,-1,0,-1169964,-486793152] 2
71370m (2 curves)	2	2+ 3- 5- 13+ 61-	2+ 3- 5- -2  0 13+  0 -4
Curve Equation t Generators 71370m1 [1,-1,0,-549,11205] 2 [-26:99:1]&[6:-93:1] 71370m2 [1,-1,0,-11529,478953] 2 [72:99:1]&[-108:729:1]
71370n (2 curves)	0	2+ 3- 5- 13+ 61-	2+ 3- 5-  4  4 13+  2 -2
Curve Equation t 71370n1 [1,-1,0,3501,-108095] 2 71370n2 [1,-1,0,-23949,-1090805] 2
71370o (1 curve)	0	2+ 3- 5- 13- 61+	2+ 3- 5- -2 -3 13-  8  1
Curve Equation t 71370o1 [1,-1,0,-99,-405] 1
71370p (2 curves)	1	2+ 3- 5- 13- 61-	2+ 3- 5-  0  4 13-  6  2
Curve Equation t Generators 71370p1 [1,-1,0,-5538573549,1990951224422193] 2 [15832:43663959:1] 71370p2 [1,-1,0,-273604979799,54689000150203443] 2 [358957:-52411041:1]
71370q (4 curves)	1	2+ 3- 5- 13- 61-	2+ 3- 5-  0  4 13- -6 -4
Curve Equation t Generators 71370q1 [1,-1,0,-10629,-15147] 2 [-21:456:1] 71370q2 [1,-1,0,-114309,14852565] 4 [-39:4407:1] 71370q3 [1,-1,0,-60309,28881765] 2 [-234:5607:1] 71370q4 [1,-1,0,-1827189,951112773] 4 [-138:34719:1]
71370r (2 curves)	1	2- 3+ 5+ 13+ 61-	2- 3+ 5+ -4  0 13+ -2 -4
Curve Equation t Generators 71370r1 [1,-1,1,13957,890731] 2 [55:-1378:1] 71370r2 [1,-1,1,-98363,9292267] 2 [-305:3446:1]
71370s (2 curves)	1	2- 3+ 5- 13+ 61+	2- 3+ 5-  2 -4 13+  0  2
Curve Equation t Generators 71370s1 [1,-1,1,-3377,-359071] 2 [117:856:1] 71370s2 [1,-1,1,-99377,-11994271] 2 [-183:286:1]
71370t (1 curve)	0	2- 3+ 5- 13+ 61-	2- 3+ 5-  2  3 13+  2 -1
Curve Equation t 71370t1 [1,-1,1,-64082,-7320751] 1
71370u (1 curve)	1	2- 3- 5+ 13+ 61+	2- 3- 5+ -2  1 13+ -4 -7
Curve Equation t Generators 71370u1 [1,-1,1,692167,1187111481] 1 [-19:34272:1]
71370v (2 curves)	0	2- 3- 5+ 13+ 61-	2- 3- 5+  2  4 13+  0 -2
Curve Equation t 71370v1 [1,-1,1,-28576688,-58795428333] 2 71370v2 [1,-1,1,-457235888,-3763096771053] 2
71370w (4 curves)	1	2- 3- 5+ 13- 61-	2- 3- 5+  0  0 13- -6 -4
Curve Equation t Generators 71370w1 [1,-1,1,-979448,-329815429] 2 [-579:6841:1] 71370w2 [1,-1,1,-3928568,2657053307] 4 [-1527:72133:1] 71370w3 [1,-1,1,5805832,13730906747] 2 [-695:97093:1] 71370w4 [1,-1,1,-60848888,182707409531] 2 [2871:176521:1]
71370x (4 curves)	1	2- 3- 5+ 13- 61-	2- 3- 5+ -4  0 13-  6 -4
Curve Equation t Generators 71370x1 [1,-1,1,1462,-29559] 2 [33:215:1] 71370x2 [1,-1,1,-10058,-296823] 4 [-67:303:1] 71370x3 [1,-1,1,-53978,4587081] 2 [-85:2967:1] 71370x4 [1,-1,1,-150458,-22423863] 2 [-223:147:1]
71370y (4 curves)	1	2- 3- 5+ 13- 61-	2- 3- 5+ -4 -4 13-  2 -4
Curve Equation t Generators 71370y1 [1,-1,1,8596867,4695988677] 4 [-273:48392:1] 71370y2 [1,-1,1,-38589053,39670192581] 4 [-6049:230472:1] 71370y3 [1,-1,1,-318525053,-2160738741819] 2 [22275:1329032:1] 71370y4 [1,-1,1,-513627773,4477861945797] 2 [13503:58248:1]
71370z (2 curves)	0	2- 3- 5- 13+ 61+	2- 3- 5-  2  6 13+ -6 -4
Curve Equation t 71370z1 [1,-1,1,26788,-1566561] 2 71370z2 [1,-1,1,-148892,-14496609] 2
71370ba (2 curves)	0	2- 3- 5- 13+ 61+	2- 3- 5- -4  2 13+  0 -4
Curve Equation t 71370ba1 [1,-1,1,-9617,358769] 2 71370ba2 [1,-1,1,-20597,-603079] 2
71370bb (2 curves)	1	2- 3- 5- 13+ 61-	2- 3- 5-  2  0 13+ -4 -4
Curve Equation t Generators 71370bb1 [1,-1,1,-10067,-611341] 2 [267:3826:1] 71370bb2 [1,-1,1,-185747,-30758029] 2 [-249:214:1]
71370bc (2 curves)	1	2- 3- 5- 13+ 61-	2- 3- 5- -2  0 13+  8  4
Curve Equation t Generators 71370bc1 [1,-1,1,8071123,-1483118971] 2 [23668:2509569:64] 71370bc2 [1,-1,1,-32785457,-11926060819] 2 [-549:77134:1]

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