Cremona's table of elliptic curves

65712 = 2⁴ · 3 · 37²

Class	r	Atkin-Lehner	Eigenvalues
65712a (4 curves)	1	2+ 3+ 37+	2+ 3+  2  0  4  2  6  0
Curve Equation t Generators 65712a1 [0,-1,0,-53847,267462] 2 [100020426:5257406294:35937] 65712a2 [0,-1,0,-608292,182347200] 4 [-7756563739860:-360435962673864:18927429625] 65712a3 [0,-1,0,-361872,331184880] 2 [23872310:1919050510:117649] 65712a4 [0,-1,0,-9725832,11677741632] 4 [-113018304:-10500941880:68921]
65712b (1 curve)	1	2+ 3+ 37+	2+ 3+  2 -3  0  7  6  0
Curve Equation t Generators 65712b1 [0,-1,0,-217572,47117232] 1 [283560:18307108:3375]
65712c (1 curve)	1	2+ 3+ 37+	2+ 3+  2 -3  4 -1 -6  0
Curve Equation t Generators 65712c1 [0,-1,0,-12,-48] 1 [16:60:1]
65712d (1 curve)	1	2+ 3+ 37+	2+ 3+ -2 -3  0 -7 -6  0
Curve Equation t Generators 65712d1 [0,-1,0,-297856524,2383054876080] 1 [447672:38206052:27]
65712e (1 curve)	1	2+ 3+ 37+	2+ 3+ -2 -3  4  1  6  0
Curve Equation t Generators 65712e1 [0,-1,0,-16884,-2632080] 1 [52520:1002108:125]
65712f (2 curves)	1	2+ 3+ 37+	2+ 3+ -4  0  0 -2  0  0
Curve Equation t Generators 65712f1 [0,-1,0,-15515,727446] 2 [654:16428:1] 65712f2 [0,-1,0,5020,2493456] 2 [-1545:38332:27]
65712g (2 curves)	0	2+ 3- 37+	2+ 3-  0  0  0  6  4  4
Curve Equation t 65712g1 [0,1,0,-4563,1876392] 2 65712g2 [0,1,0,-257828,49895436] 2
65712h (1 curve)	0	2+ 3- 37+	2+ 3-  1  4  0  2 -7  8
Curve Equation t 65712h1 [0,1,0,-160,-988] 1
65712i (1 curve)	0	2+ 3- 37+	2+ 3- -1  4  0 -2  7 -8
Curve Equation t 65712i1 [0,1,0,-219496,-47413084] 1
65712j (6 curves)	0	2+ 3- 37+	2+ 3-  2  0 -4  2 -2 -4
Curve Equation t 65712j1 [0,1,0,913,-12828] 2 65712j2 [0,1,0,-5932,-133300] 4 65712j3 [0,1,0,-33312,2221380] 4 65712j4 [0,1,0,-88072,-10088668] 2 65712j5 [0,1,0,21448,8858292] 2 65712j6 [0,1,0,-526152,146722068] 2
65712k (1 curve)	0	2+ 3- 37+	2+ 3-  4  1  3  5 -7  5
Curve Equation t 65712k1 [0,1,0,-274256,56170932] 1
65712l (1 curve)	0	2+ 3- 37+	2+ 3-  4 -1  2  3  8  8
Curve Equation t 65712l1 [0,1,0,-2245616,1356282852] 1
65712m (1 curve)	2	2+ 3- 37+	2+ 3- -4 -1  2 -3 -8 -8
Curve Equation t Generators 65712m1 [0,1,0,-1640,26244] 1 [-14:-216:1]&[-26:228:1]
65712n (2 curves)	1	2+ 3- 37-	2+ 3-  0  0  4  4 -4  2
Curve Equation t Generators 65712n1 [0,1,0,-123,-396] 2 [-54:105:8] 65712n2 [0,1,0,-1788,-29700] 2 [17325:36630:343]
65712o (2 curves)	1	2+ 3- 37-	2+ 3-  0  0  4 -4  4 -2
Curve Equation t Generators 65712o1 [0,1,0,-168843,-18034344] 2 [-13225720962:-188033010375:75151448] 65712o2 [0,1,0,-2448228,-1475017236] 2 [-15495512455993526570250:6108620505414864734781:17268540440921875000]
65712p (2 curves)	0	2- 3+ 37+	2- 3+  0  1 -3  1  3 -7
Curve Equation t 65712p1 [0,-1,0,43352,13489264] 1 65712p2 [0,-1,0,-3242248,2249800048] 1
65712q (1 curve)	0	2- 3+ 37+	2- 3+  1 -2 -2  6  3  2
Curve Equation t 65712q1 [0,-1,0,1401400,-7452270096] 1
65712r (1 curve)	2	2- 3+ 37+	2- 3+ -1 -2 -2 -6 -3 -2
Curve Equation t Generators 65712r1 [0,-1,0,1024,-147456] 1 [50:162:1]&[58:322:1]
65712s (2 curves)	0	2- 3+ 37+	2- 3+  2  4  4  6 -6 -2
Curve Equation t 65712s1 [0,-1,0,-12777,-151452] 2 65712s2 [0,-1,0,48828,-1235700] 2
65712t (1 curve)	2	2- 3+ 37+	2- 3+ -4  1  1  3 -3 -5
Curve Equation t Generators 65712t1 [0,-1,0,32400,148702656] 1 [-271:10952:1]&[680:22016:1]
65712u (2 curves)	1	2- 3+ 37-	2- 3+  2  0  0  0 -2  6
Curve Equation t Generators 65712u1 [0,-1,0,185728,179718720] 2 [-14407816280:-15198158047136:1141166125] 65712u2 [0,-1,0,-3866512,2769910528] 2 [-104280:9197672:125]
65712v (2 curves)	1	2- 3+ 37-	2- 3+ -2  0  0  0  2 -6
Curve Equation t Generators 65712v1 [0,-1,0,136,3504] 2 [4:64:1] 65712v2 [0,-1,0,-2824,55600] 2 [-12:296:1]
65712w (2 curves)	1	2- 3- 37+	2- 3-  0  0 -4  2  0  6
Curve Equation t Generators 65712w1 [0,1,0,-18253,926306] 2 [-1393886:24107823:17576] 65712w2 [0,1,0,-38788,-1562536] 2 [-13159987428094:147264400497183:126354865832]
65712x (2 curves)	1	2- 3- 37+	2- 3-  0  3  2  5  0  0
Curve Equation t Generators 65712x1 [0,1,0,-1048,-13420] 1 [5682:81584:27] 65712x2 [0,1,0,4872,670932] 1 [198:3072:1]
65712y (2 curves)	1	2- 3- 37+	2- 3-  0  3  2 -5  0  0
Curve Equation t Generators 65712y1 [0,1,0,-1435168,-662543116] 1 [308613054825846390310:-6356180853961386003744:194232293839121383] 65712y2 [0,1,0,6669312,33904684980] 1 [28842:4921344:1]
65712z (1 curve)	1	2- 3- 37+	2- 3-  0 -3 -1 -1  3  3
Curve Equation t Generators 65712z1 [0,1,0,371912,-557798188] 1 [1751:73926:1]
65712ba (1 curve)	1	2- 3- 37+	2- 3-  2  3 -2 -3  0  4
Curve Equation t Generators 65712ba1 [0,1,0,-67537,6988238] 1 [4098:13690:27]
65712bb (4 curves)	1	2- 3- 37+	2- 3- -2  0  4 -6 -6  8
Curve Equation t Generators 65712bb1 [0,1,0,339056,21255956] 2 [8458:316239:8] 65712bb2 [0,1,0,-1413264,171955476] 4 [-870:1685376:125] 65712bb3 [0,1,0,-13241424,-18417180780] 2 [-90139035:494869782:42875] 65712bb4 [0,1,0,-17622224,28433898132] 4 [466:142560:1]
65712bc (1 curve)	1	2- 3- 37+	2- 3- -2  3 -2  3  0 -4
Curve Equation t Generators 65712bc1 [0,1,0,-49,122] 1 [2:6:1]
65712bd (1 curve)	1	2- 3- 37+	2- 3-  4 -3 -5 -3 -3 -7
Curve Equation t Generators 65712bd1 [0,1,0,-3993482976,-97137124169868] 1 [6186841806:632569282560:79507]
65712be (2 curves)	0	2- 3- 37-	2- 3-  2 -3 -3  1  3  1
Curve Equation t 65712be1 [0,1,0,-1840392,3240574452] 1 65712be2 [0,1,0,-86937432,-470545705452] 1
65712bf (2 curves)	2	2- 3- 37-	2- 3- -2 -3 -3 -1 -3 -1
Curve Equation t Generators 65712bf1 [0,1,0,-1344,63540] 1 [12:222:1]&[-22:288:1] 65712bf2 [0,1,0,-63504,-9310188] 1 [308:666:1]&[9218:884736:1]

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