Cremona's table of elliptic curves

85410 = 2 · 3² · 5 · 13 · 73

Class	r	Atkin-Lehner	Eigenvalues
85410a (1 curve)	1	2+ 3+ 5+ 13- 73-	2+ 3+ 5+  3  0 13-  4  0
Curve Equation t Generators 85410a1 [1,-1,0,-390,3380] 1 [13:13:1]
85410b (2 curves)	0	2+ 3+ 5- 13+ 73+	2+ 3+ 5- -2 -4 13+  0  2
Curve Equation t 85410b1 [1,-1,0,12833571,-45897642747] 2 85410b2 [1,-1,0,-140766429,-570933162747] 2
85410c (1 curve)	1	2+ 3- 5+ 13+ 73-	2+ 3- 5+ -2  0 13+ -4  0
Curve Equation t Generators 85410c1 [1,-1,0,-64125,6266241] 1 [180:639:1]
85410d (1 curve)	1	2+ 3- 5+ 13+ 73-	2+ 3- 5+ -4  4 13+  7 -7
Curve Equation t Generators 85410d1 [1,-1,0,-16740,-993200] 1 [171:974:1]
85410e (1 curve)	1	2+ 3- 5+ 13- 73+	2+ 3- 5+  2  2 13- -3  1
Curve Equation t Generators 85410e1 [1,-1,0,-1035,-12569] 1 [41:92:1]
85410f (2 curves)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+  0  2 13-  0  4
Curve Equation t 85410f1 [1,-1,0,-327892611015,-72267838603251575] 2 85410f2 [1,-1,0,-327857599485,-72284043262771409] 2
85410g (1 curve)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+  0  2 13-  0 -6
Curve Equation t 85410g1 [1,-1,0,4860,-212144] 1
85410h (6 curves)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+  0 -4 13-  6 -4
Curve Equation t 85410h1 [1,-1,0,-5260770,-4643004524] 2 85410h2 [1,-1,0,-5261490,-4641669500] 4 85410h3 [1,-1,0,-4313790,-6367052120] 2 85410h4 [1,-1,0,-6220710,-2830853984] 4 85410h5 [1,-1,0,21537540,-21190160534] 2 85410h6 [1,-1,0,-49326480,131409134950] 2
85410i (2 curves)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+  0 -6 13-  4  0
Curve Equation t 85410i1 [1,-1,0,-5865,-79219] 2 85410i2 [1,-1,0,20415,-610075] 2
85410j (2 curves)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+  4  4 13-  4  2
Curve Equation t 85410j1 [1,-1,0,-450,3456] 2 85410j2 [1,-1,0,-7020,228150] 2
85410k (4 curves)	0	2+ 3- 5+ 13- 73-	2+ 3- 5+ -4  0 13-  0  2
Curve Equation t 85410k1 [1,-1,0,-163620,1285200] 2 85410k2 [1,-1,0,-1845540,963007056] 2 85410k3 [1,-1,0,-9336420,10982699280] 6 85410k4 [1,-1,0,-149382540,702782522856] 6
85410l (4 curves)	0	2+ 3- 5- 13+ 73-	2+ 3- 5-  0  4 13+ -6  4
Curve Equation t 85410l1 [1,-1,0,-11079,-352067] 2 85410l2 [1,-1,0,-57159,4965565] 4 85410l3 [1,-1,0,47961,21090973] 2 85410l4 [1,-1,0,-899559,328615645] 2
85410m (2 curves)	0	2+ 3- 5- 13+ 73-	2+ 3- 5- -4 -2 13+  2  6
Curve Equation t 85410m1 [1,-1,0,-32118669,-70053337067] 2 85410m2 [1,-1,0,-31159449,-74434478495] 2
85410n (1 curve)	1	2+ 3- 5- 13- 73-	2+ 3- 5- -1 -6 13-  6  0
Curve Equation t Generators 85410n1 [1,-1,0,-36946944,89100083200] 1 [16121:1911032:1]
85410o (2 curves)	1	2+ 3- 5- 13- 73-	2+ 3- 5-  2  0 13-  0 -4
Curve Equation t Generators 85410o1 [1,-1,0,-27594,-1773900] 1 [396:-7218:1] 85410o2 [1,-1,0,91746,-9275472] 3 [144:2556:1]
85410p (2 curves)	1	2+ 3- 5- 13- 73-	2+ 3- 5-  2  6 13-  3  5
Curve Equation t Generators 85410p1 [1,-1,0,1521,-771147] 1 [507:11154:1] 85410p2 [1,-1,0,-13689,20830095] 3 [-291:474:1]
85410q (2 curves)	0	2- 3+ 5+ 13+ 73+	2- 3+ 5+ -2  4 13+  0  2
Curve Equation t 85410q1 [1,-1,1,115502137,1239120852031] 2 85410q2 [1,-1,1,-1266897863,15416462292031] 2
85410r (1 curve)	1	2- 3+ 5- 13- 73-	2- 3+ 5-  3  0 13- -4  0
Curve Equation t Generators 85410r1 [1,-1,1,-3512,-87749] 1 [79:311:1]
85410s (1 curve)	0	2- 3- 5+ 13+ 73-	2- 3- 5+ -1 -1 13+ -2  0
Curve Equation t 85410s1 [1,-1,1,-21668,1230621] 1
85410t (1 curve)	0	2- 3- 5+ 13+ 73-	2- 3- 5+  2  4 13+  8  0
Curve Equation t 85410t1 [1,-1,1,2272,31151] 1
85410u (2 curves)	2	2- 3- 5+ 13+ 73-	2- 3- 5+ -2 -2 13+ -6  4
Curve Equation t Generators 85410u1 [1,-1,1,-57398,5306181] 2 [-255:1947:1]&[161:-549:1] 85410u2 [1,-1,1,-50918,6545157] 2 [107:-1575:1]&[-109:3339:1]
85410v (2 curves)	0	2- 3- 5+ 13- 73+	2- 3- 5+  0  0 13-  4 -2
Curve Equation t 85410v1 [1,-1,1,-58833743,-173680487913] 2 85410v2 [1,-1,1,-58938863,-173028617769] 2
85410w (2 curves)	0	2- 3- 5+ 13- 73+	2- 3- 5+  0 -2 13-  0  8
Curve Equation t 85410w1 [1,-1,1,-22928,1313331] 2 85410w2 [1,-1,1,3352,4130547] 2
85410x (4 curves)	1	2- 3- 5+ 13- 73-	2- 3- 5+  0 -4 13- -6  0
Curve Equation t Generators 85410x1 [1,-1,1,1057,1419207] 4 [-97:678:1] 85410x2 [1,-1,1,-183263,29657031] 4 [-25:5862:1] 85410x3 [1,-1,1,-399263,-53373369] 2 [-385:6762:1] 85410x4 [1,-1,1,-2916383,1917696327] 2 [1007:630:1]
85410y (3 curves)	1	2- 3- 5+ 13- 73-	2- 3- 5+ -1  3 13- -6  2
Curve Equation t Generators 85410y1 [1,-1,1,-125890358,-543640337269] 1 [-5148817368939667534099537096546979178:2572256901653929534760284547178808651:794858792084290092490750164891816] 85410y2 [1,-1,1,-126795983,-535421010769] 3 [-1271652291473454:22366073292912053:189316978488] 85410y3 [1,-1,1,-1354204958,18991200884141] 3 [79166:20449323:8]
85410z (4 curves)	1	2- 3- 5+ 13- 73-	2- 3- 5+  2  0 13- -6  2
Curve Equation t Generators 85410z1 [1,-1,1,-3758738,-2803919983] 2 [2245:7171:1] 85410z2 [1,-1,1,-3755858,-2808433519] 2 [5323:355111:1] 85410z3 [1,-1,1,-3954713,-2495166343] 6 [39206657245:123990422884:17373979] 85410z4 [1,-1,1,7841767,-14541731719] 6 [1901865:152208916:343]
85410ba (2 curves)	1	2- 3- 5+ 13- 73-	2- 3- 5+  2 -4 13-  2 -2
Curve Equation t Generators 85410ba1 [1,-1,1,-878,10221] 2 [118:81:8] 85410ba2 [1,-1,1,-698,14397] 2 [-15:153:1]
85410bb (1 curve)	1	2- 3- 5+ 13- 73-	2- 3- 5+  3  3 13- -2  0
Curve Equation t Generators 85410bb1 [1,-1,1,-1523,-21293] 1 [-25:38:1]
85410bc (1 curve)	1	2- 3- 5+ 13- 73-	2- 3- 5+  4 -2 13-  4  2
Curve Equation t Generators 85410bc1 [1,-1,1,427,4317] 1 [5:78:1]
85410bd (2 curves)	1	2- 3- 5- 13+ 73-	2- 3- 5- -2  0 13+ -2 -6
Curve Equation t Generators 85410bd1 [1,-1,1,-842,-9079] 2 [-138:137:8] 85410bd2 [1,-1,1,-122,-24631] 2 [49:-317:1]
85410be (1 curve)	1	2- 3- 5- 13+ 73-	2- 3- 5-  4  0 13+ -5 -3
Curve Equation t Generators 85410be1 [1,-1,1,-137012,-11259345769] 1 [868525:808984477:1]
85410bf (4 curves)	1	2- 3- 5- 13- 73+	2- 3- 5-  0  4 13- -6 -4
Curve Equation t Generators 85410bf1 [1,-1,1,-2961032,-2047883061] 4 [2297:56001:1] 85410bf2 [1,-1,1,-47961032,-127831883061] 4 [32297:5641701:1] 85410bf3 [1,-1,1,-48546032,-124553075061] 2 [42991597:7508433231:1331] 85410bf4 [1,-1,1,-767376032,-8181826691061] 2 [1031889:115022927:27]
85410bg (1 curve)	1	2- 3- 5- 13- 73+	2- 3- 5-  0 -6 13-  4  6
Curve Equation t Generators 85410bg1 [1,-1,1,-4347527,3628705839] 1 [929:-20238:1]
85410bh (1 curve)	1	2- 3- 5- 13- 73+	2- 3- 5- -3  6 13- -2  0
Curve Equation t Generators 85410bh1 [1,-1,1,2210953,218695119] 1 [12827:1456086:1]
85410bi (2 curves)	0	2- 3- 5- 13- 73-	2- 3- 5- -2  2 13-  2 -4
Curve Equation t 85410bi1 [1,-1,1,-49082,-3605911] 2 85410bi2 [1,-1,1,82138,-19667239] 2

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