Cremona's table of elliptic curves

75072 = 2⁶ · 3 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
75072a (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+  0 -5 -4  1 17+ -4
Curve Equation t Generators 75072a1 [0,-1,0,-373,-2579] 1 [-12:5:1]
75072b (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+  1  0  6  6 17+  0
Curve Equation t Generators 75072b1 [0,-1,0,-11585,487233] 1 [-17:824:1]
75072c (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+ -1  2  0  4 17+ -2
Curve Equation t Generators 75072c1 [0,-1,0,-161,897] 1 [7:8:1]
75072d (4 curves)	1	2+ 3+ 17+ 23+	2+ 3+  2  0 -4  2 17+  0
Curve Equation t Generators 75072d1 [0,-1,0,-93812,-11028162] 2 [-28695448695937030:-606570821062207:162146094677000] 75072d2 [0,-1,0,-96457,-10370615] 4 [-523019840:-447986295:2352637] 75072d3 [0,-1,0,127103,-51550367] 2 [3090151767528:14003571863455:11558505581] 75072d4 [0,-1,0,-362337,72849825] 2 [1025:27880:1]
75072e (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+  3 -2 -4  4 17+  2
Curve Equation t Generators 75072e1 [0,-1,0,159231,-3796479] 1 [3443474095:118016892208:28372625]
75072f (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+ -3 -4  2 -2 17+ -4
Curve Equation t Generators 75072f1 [0,-1,0,-39777,-6604479] 1 [1559:60976:1]
75072g (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+  4 -1  0  1 17+ -4
Curve Equation t Generators 75072g1 [0,-1,0,-438181,-105058307] 1 [-6106070195612429331118596:11276428797655355405874755:13550881758896664601957]
75072h (2 curves)	0	2+ 3+ 17+ 23-	2+ 3+  0  2 -3 -5 17+  1
Curve Equation t 75072h1 [0,-1,0,-136193,-19655679] 1 75072h2 [0,-1,0,-11087873,-14207168511] 1
75072i (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  0  2  5  3 17+ -1
Curve Equation t 75072i1 [0,-1,0,24287,-1039967] 1
75072j (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  0 -2  1  7 17+  7
Curve Equation t 75072j1 [0,-1,0,-108,486] 1
75072k (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  0  3  0  1 17+  6
Curve Equation t 75072k1 [0,-1,0,-16623,-819375] 1
75072l (2 curves)	0	2+ 3+ 17+ 23-	2+ 3+  0 -4  2 -6 17+  2
Curve Equation t 75072l1 [0,-1,0,5407,-288927] 2 75072l2 [0,-1,0,-46433,-3223071] 2
75072m (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  2  1 -2  1 17+  6
Curve Equation t 75072m1 [0,-1,0,-6757,103543] 1
75072n (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  3 -2  4  4 17+ -2
Curve Equation t 75072n1 [0,-1,0,1181951,-730555199] 1
75072o (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  4 -1 -4 -7 17+ -2
Curve Equation t 75072o1 [0,-1,0,-23391,-564327] 1
75072p (1 curve)	0	2+ 3+ 17- 23+	2+ 3+  0  1  0  5 17-  8
Curve Equation t 75072p1 [0,-1,0,-73,235] 1
75072q (1 curve)	0	2+ 3+ 17- 23+	2+ 3+  0 -2  3 -1 17-  5
Curve Equation t 75072q1 [0,-1,0,968927,-938276447] 1
75072r (1 curve)	0	2+ 3+ 17- 23+	2+ 3+  0 -2  3 -1 17- -5
Curve Equation t 75072r1 [0,-1,0,1087,-18495] 1
75072s (2 curves)	0	2+ 3+ 17- 23+	2+ 3+  2 -4  4  6 17- -2
Curve Equation t 75072s1 [0,-1,0,4688,84898] 2 75072s2 [0,-1,0,-23257,772345] 2
75072t (2 curves)	0	2+ 3+ 17- 23+	2+ 3+ -2  4 -4 -2 17-  6
Curve Equation t 75072t1 [0,-1,0,-69,69] 2 75072t2 [0,-1,0,271,273] 2
75072u (2 curves)	0	2+ 3+ 17- 23+	2+ 3+  3  2  0  4 17- -2
Curve Equation t 75072u1 [0,-1,0,-1569,-64863] 1 75072u2 [0,-1,0,-181089,-29600799] 1
75072v (1 curve)	0	2+ 3+ 17- 23+	2+ 3+  4  2 -1 -1 17- -5
Curve Equation t 75072v1 [0,-1,0,84,5118] 1
75072w (1 curve)	0	2+ 3+ 17- 23+	2+ 3+ -4  1  0  1 17-  0
Curve Equation t 75072w1 [0,-1,0,-8165,-280899] 1
75072x (1 curve)	1	2+ 3+ 17- 23-	2+ 3+  1 -4  2  2 17-  4
Curve Equation t Generators 75072x1 [0,-1,0,-220065,39933153] 1 [323:1564:1]
75072y (1 curve)	1	2+ 3+ 17- 23-	2+ 3+  2 -2  3 -5 17- -3
Curve Equation t Generators 75072y1 [0,-1,0,-17,-207] 1 [13:40:1]
75072z (1 curve)	1	2+ 3+ 17- 23-	2+ 3+  2  3 -2  5 17-  2
Curve Equation t Generators 75072z1 [0,-1,0,-7552917,7966071117] 1 [-1612:126293:1]
75072ba (1 curve)	1	2+ 3+ 17- 23-	2+ 3+ -2 -1  2  5 17-  2
Curve Equation t Generators 75072ba1 [0,-1,0,-69,93] 1 [-4:17:1]
75072bb (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  0  2 -1  7 17+ -7
Curve Equation t 75072bb1 [0,1,0,-108,-486] 1
75072bc (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  0 -3  0  1 17+ -6
Curve Equation t 75072bc1 [0,1,0,-16623,819375] 1
75072bd (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  1  4 -6  6 17+  8
Curve Equation t 75072bd1 [0,1,0,3615,-983169] 1
75072be (1 curve)	0	2+ 3- 17+ 23+	2+ 3- -1 -2  0 -4 17+  6
Curve Equation t 75072be1 [0,1,0,-16141601,25553372991] 1
75072bf (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  3  2 -4  4 17+  2
Curve Equation t 75072bf1 [0,1,0,1181951,730555199] 1
75072bg (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  4  1  4 -7 17+  2
Curve Equation t 75072bg1 [0,1,0,-23391,564327] 1
75072bh (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  4 -2 -5 -1 17+  1
Curve Equation t 75072bh1 [0,1,0,-1281,17247] 1
75072bi (1 curve)	0	2+ 3- 17+ 23+	2+ 3- -4 -2  3 -1 17+  3
Curve Equation t 75072bi1 [0,1,0,-8865,-2093121] 1
75072bj (1 curve)	1	2+ 3- 17+ 23-	2+ 3- -1 -2  0  4 17+  2
Curve Equation t Generators 75072bj1 [0,1,0,-161,-897] 1 [429:8892:1]
75072bk (4 curves)	1	2+ 3- 17+ 23-	2+ 3-  2  0  4  2 17+  0
Curve Equation t Generators 75072bk1 [0,1,0,-93812,11028162] 2 [-191:4692:1] 75072bk2 [0,1,0,-96457,10370615] 4 [95:1440:1] 75072bk3 [0,1,0,127103,51550367] 2 [1337:51120:1] 75072bk4 [0,1,0,-362337,-72849825] 2 [903:18360:1]
75072bl (1 curve)	1	2+ 3- 17+ 23-	2+ 3- -2 -2  3  3 17+ -7
Curve Equation t Generators 75072bl1 [0,1,0,111,43695] 1 [63:-552:1]
75072bm (1 curve)	1	2+ 3- 17+ 23-	2+ 3- -3  4 -2 -2 17+  4
Curve Equation t Generators 75072bm1 [0,1,0,-39777,6604479] 1 [-51:2916:1]
75072bn (1 curve)	1	2+ 3- 17- 23+	2+ 3-  1  4 -2  2 17- -4
Curve Equation t Generators 75072bn1 [0,1,0,-220065,-39933153] 1 [561:3672:1]
75072bo (1 curve)	1	2+ 3- 17- 23+	2+ 3-  1 -4 -2 -2 17- -4
Curve Equation t Generators 75072bo1 [0,1,0,255,1887] 1 [41:288:1]
75072bp (4 curves)	1	2+ 3- 17- 23+	2+ 3-  2  0  4  2 17- -8
Curve Equation t Generators 75072bp1 [0,1,0,-477,-1725] 2 [-1750:8415:343] 75072bp2 [0,1,0,-6257,-192465] 4 [858483:9923760:4913] 75072bp3 [0,1,0,-4897,-277057] 2 [667:17136:1] 75072bp4 [0,1,0,-100097,-12222753] 2 [326034257835:-2768171189364:817400375]
75072bq (1 curve)	1	2+ 3- 17- 23+	2+ 3-  2  1 -6  5 17-  6
Curve Equation t Generators 75072bq1 [0,1,0,-2517,-37197] 1 [-18:51:1]
75072br (1 curve)	1	2+ 3- 17- 23+	2+ 3- -2  5 -2  1 17-  2
Curve Equation t Generators 75072br1 [0,1,0,-2109,35325] 1 [-12:243:1]
75072bs (1 curve)	1	2+ 3- 17- 23+	2+ 3-  3  2 -4  4 17- -6
Curve Equation t Generators 75072bs1 [0,1,0,-769,-18337] 1 [41:144:1]
75072bt (2 curves)	0	2+ 3- 17- 23-	2+ 3-  0  0 -2  2 17-  2
Curve Equation t 75072bt1 [0,1,0,-15713,2429439] 2 75072bt2 [0,1,0,-384353,91419135] 2
75072bu (1 curve)	0	2+ 3- 17- 23-	2+ 3-  0  3  0 -7 17-  4
Curve Equation t 75072bu1 [0,1,0,-3813,-68349] 1
75072bv (2 curves)	0	2+ 3- 17- 23-	2+ 3-  2  4 -4  6 17-  2
Curve Equation t 75072bv1 [0,1,0,4688,-84898] 2 75072bv2 [0,1,0,-23257,-772345] 2
75072bw (1 curve)	0	2+ 3- 17- 23-	2+ 3-  4 -2  1 -1 17-  5
Curve Equation t 75072bw1 [0,1,0,84,-5118] 1
75072bx (1 curve)	0	2- 3+ 17+ 23+	2- 3+ -2  2 -3  3 17+  7
Curve Equation t 75072bx1 [0,-1,0,111,-43695] 1
75072by (1 curve)	0	2- 3+ 17+ 23+	2- 3+ -2 -2 -3 -1 17+  1
Curve Equation t 75072by1 [0,-1,0,-1104,-17802] 1
75072bz (1 curve)	0	2- 3+ 17+ 23+	2- 3+ -2 -2 -3 -1 17+  5
Curve Equation t 75072bz1 [0,-1,0,-156304,23838598] 1
75072ca (4 curves)	0	2- 3+ 17+ 23+	2- 3+ -2  4  0  2 17+ -4
Curve Equation t 75072ca1 [0,-1,0,-524,-4446] 2 75072ca2 [0,-1,0,-569,-3591] 4 75072ca3 [0,-1,0,1471,-25215] 2 75072ca4 [0,-1,0,-3329,72033] 2
75072cb (1 curve)	1	2- 3+ 17+ 23-	2- 3+  0  3 -4  5 17+  2
Curve Equation t Generators 75072cb1 [0,-1,0,-203,1161] 1 [-8:47:1]
75072cc (1 curve)	1	2- 3+ 17+ 23-	2- 3+  1 -4  6  6 17+ -8
Curve Equation t Generators 75072cc1 [0,-1,0,3615,983169] 1 [11:1012:1]
75072cd (1 curve)	1	2- 3+ 17+ 23-	2- 3+ -1  2  0 -4 17+ -6
Curve Equation t Generators 75072cd1 [0,-1,0,-16141601,-25553372991] 1 [7455455:1816513964:125]
75072ce (1 curve)	1	2- 3+ 17+ 23-	2- 3+  4  2  5 -1 17+ -1
Curve Equation t Generators 75072ce1 [0,-1,0,-1281,-17247] 1 [8305:53984:125]
75072cf (1 curve)	1	2- 3+ 17+ 23-	2- 3+ -4  2 -3 -1 17+ -3
Curve Equation t Generators 75072cf1 [0,-1,0,-8865,2093121] 1 [-35:1536:1]
75072cg (2 curves)	1	2- 3+ 17- 23+	2- 3+  0  0  2  2 17- -2
Curve Equation t Generators 75072cg1 [0,-1,0,-15713,-2429439] 2 [92104:373779:512] 75072cg2 [0,-1,0,-384353,-91419135] 2 [743:5712:1]
75072ch (1 curve)	1	2- 3+ 17- 23+	2- 3+  0 -3  0 -7 17- -4
Curve Equation t Generators 75072ch1 [0,-1,0,-3813,68349] 1 [-4:289:1]
75072ci (1 curve)	0	2- 3+ 17- 23-	2- 3+  1  4  2 -2 17-  4
Curve Equation t 75072ci1 [0,-1,0,255,-1887] 1
75072cj (4 curves)	0	2- 3+ 17- 23-	2- 3+  2  0 -4  2 17-  8
Curve Equation t 75072cj1 [0,-1,0,-477,1725] 2 75072cj2 [0,-1,0,-6257,192465] 4 75072cj3 [0,-1,0,-4897,277057] 2 75072cj4 [0,-1,0,-100097,12222753] 2
75072ck (1 curve)	0	2- 3+ 17- 23-	2- 3+  2 -1  6  5 17- -6
Curve Equation t 75072ck1 [0,-1,0,-2517,37197] 1
75072cl (1 curve)	0	2- 3+ 17- 23-	2- 3+ -2 -5  2  1 17- -2
Curve Equation t 75072cl1 [0,-1,0,-2109,-35325] 1
75072cm (1 curve)	0	2- 3+ 17- 23-	2- 3+  3 -2  4  4 17-  6
Curve Equation t 75072cm1 [0,-1,0,-769,18337] 1
75072cn (1 curve)	0	2- 3+ 17- 23-	2- 3+  4  1  0 -3 17- -6
Curve Equation t 75072cn1 [0,-1,0,-51,153] 1
75072co (2 curves)	1	2- 3- 17+ 23+	2- 3-  0 -2  3 -5 17+ -1
Curve Equation t Generators 75072co1 [0,1,0,-136193,19655679] 1 [-257:6144:1] 75072co2 [0,1,0,-11087873,14207168511] 1 [1215:50304:1]
75072cp (1 curve)	1	2- 3- 17+ 23+	2- 3-  0 -2 -5  3 17+  1
Curve Equation t Generators 75072cp1 [0,1,0,24287,1039967] 1 [5277:98432:27]
75072cq (1 curve)	1	2- 3- 17+ 23+	2- 3-  0 -3  4  5 17+ -2
Curve Equation t Generators 75072cq1 [0,1,0,-203,-1161] 1 [-6930:197:729]
75072cr (2 curves)	1	2- 3- 17+ 23+	2- 3-  0  4 -2 -6 17+ -2
Curve Equation t Generators 75072cr1 [0,1,0,5407,288927] 2 [-14:459:1] 75072cr2 [0,1,0,-46433,3223071] 2 [-11:1932:1]
75072cs (1 curve)	1	2- 3- 17+ 23+	2- 3-  2 -1  2  1 17+ -6
Curve Equation t Generators 75072cs1 [0,1,0,-6757,-103543] 1 [-16:27:1]
75072ct (1 curve)	0	2- 3- 17+ 23-	2- 3-  0  5  4  1 17+  4
Curve Equation t 75072ct1 [0,1,0,-373,2579] 1
75072cu (1 curve)	0	2- 3- 17+ 23-	2- 3-  1  0 -6  6 17+  0
Curve Equation t 75072cu1 [0,1,0,-11585,-487233] 1
75072cv (1 curve)	0	2- 3- 17+ 23-	2- 3- -2  2  3 -1 17+ -1
Curve Equation t 75072cv1 [0,1,0,-1104,17802] 1
75072cw (1 curve)	0	2- 3- 17+ 23-	2- 3- -2  2  3 -1 17+ -5
Curve Equation t 75072cw1 [0,1,0,-156304,-23838598] 1
75072cx (4 curves)	0	2- 3- 17+ 23-	2- 3- -2 -4  0  2 17+  4
Curve Equation t 75072cx1 [0,1,0,-524,4446] 2 75072cx2 [0,1,0,-569,3591] 4 75072cx3 [0,1,0,1471,25215] 2 75072cx4 [0,1,0,-3329,-72033] 2
75072cy (1 curve)	0	2- 3- 17+ 23-	2- 3-  3  2  4  4 17+ -2
Curve Equation t 75072cy1 [0,1,0,159231,3796479] 1
75072cz (1 curve)	0	2- 3- 17+ 23-	2- 3-  4  1  0  1 17+  4
Curve Equation t 75072cz1 [0,1,0,-438181,105058307] 1
75072da (1 curve)	0	2- 3- 17- 23+	2- 3-  2  2 -3 -5 17-  3
Curve Equation t 75072da1 [0,1,0,-17,207] 1
75072db (1 curve)	0	2- 3- 17- 23+	2- 3-  2 -3  2  5 17- -2
Curve Equation t 75072db1 [0,1,0,-7552917,-7966071117] 1
75072dc (1 curve)	0	2- 3- 17- 23+	2- 3- -2  1 -2  5 17- -2
Curve Equation t 75072dc1 [0,1,0,-69,-93] 1
75072dd (1 curve)	0	2- 3- 17- 23+	2- 3-  4 -1  0 -3 17-  6
Curve Equation t 75072dd1 [0,1,0,-51,-153] 1
75072de (1 curve)	1	2- 3- 17- 23-	2- 3-  0 -1  0  5 17- -8
Curve Equation t Generators 75072de1 [0,1,0,-73,-235] 1 [-4:3:1]
75072df (1 curve)	1	2- 3- 17- 23-	2- 3-  0  2 -3 -1 17-  5
Curve Equation t Generators 75072df1 [0,1,0,1087,18495] 1 [31:288:1]
75072dg (1 curve)	1	2- 3- 17- 23-	2- 3-  0  2 -3 -1 17- -5
Curve Equation t Generators 75072dg1 [0,1,0,968927,938276447] 1 [-169:27744:1]
75072dh (2 curves)	1	2- 3- 17- 23-	2- 3- -2 -4  4 -2 17- -6
Curve Equation t Generators 75072dh1 [0,1,0,-69,-69] 2 [35:204:1] 75072dh2 [0,1,0,271,-273] 2 [3:24:1]
75072di (2 curves)	1	2- 3- 17- 23-	2- 3-  3 -2  0  4 17-  2
Curve Equation t Generators 75072di1 [0,1,0,-1569,64863] 1 [21:204:1] 75072di2 [0,1,0,-181089,29600799] 1 [245:12:1]
75072dj (1 curve)	1	2- 3- 17- 23-	2- 3- -4 -1  0  1 17-  0
Curve Equation t Generators 75072dj1 [0,1,0,-8165,280899] 1 [46:69:1]

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