Cremona's table of elliptic curves

81090 = 2 · 3² · 5 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
81090a (1 curve)	1	2+ 3+ 5+ 17+ 53+	2+ 3+ 5+  1 -4  5 17+ -1
Curve Equation t Generators 81090a1 [1,-1,0,-18300,-882864] 1 [-72:276:1]
81090b (1 curve)	2	2+ 3+ 5+ 17- 53+	2+ 3+ 5+ -3  2 -3 17- -5
Curve Equation t Generators 81090b1 [1,-1,0,-30660,-1601200] 1 [-88:684:1]&[-65:370:1]
81090c (2 curves)	0	2+ 3+ 5- 17+ 53+	2+ 3+ 5-  0  0  2 17+ -2
Curve Equation t 81090c1 [1,-1,0,-2803884,-1825183360] 2 81090c2 [1,-1,0,-44991384,-116144870860] 2
81090d (2 curves)	1	2+ 3+ 5- 17- 53+	2+ 3+ 5-  0  4  2 17- -2
Curve Equation t Generators 81090d1 [1,-1,0,-2904,-1070272] 2 [168880:6114984:125] 81090d2 [1,-1,0,-175704,-28061632] 2 [5408:393736:1]
81090e (1 curve)	1	2+ 3+ 5- 17- 53+	2+ 3+ 5-  3 -2  5 17-  1
Curve Equation t Generators 81090e1 [1,-1,0,-52358874,145838546180] 1 [4351:-21683:1]
81090f (2 curves)	0	2+ 3+ 5- 17- 53-	2+ 3+ 5-  4  0  4 17-  4
Curve Equation t 81090f1 [1,-1,0,-4685244,-3907202500] 2 81090f2 [1,-1,0,-74990274,-249932624482] 2
81090g (2 curves)	0	2+ 3- 5+ 17+ 53+	2+ 3- 5+  0  2 -2 17+  2
Curve Equation t 81090g1 [1,-1,0,-18045,-814779] 2 81090g2 [1,-1,0,28035,-4326075] 2
81090h (1 curve)	1	2+ 3- 5+ 17+ 53-	2+ 3- 5+  1  2  3 17+ -3
Curve Equation t Generators 81090h1 [1,-1,0,-535770,104121396] 1 [-60:11694:1]
81090i (1 curve)	1	2+ 3- 5+ 17+ 53-	2+ 3- 5+ -3  4 -1 17+  7
Curve Equation t Generators 81090i1 [1,-1,0,-1277505,-555358275] 1 [-654:615:1]
81090j (2 curves)	1	2+ 3- 5+ 17+ 53-	2+ 3- 5+  4 -6  6 17+ -4
Curve Equation t Generators 81090j1 [1,-1,0,-1035,9841] 2 [-27:146:1] 81090j2 [1,-1,0,-5805,-160925] 2 [-45:110:1]
81090k (1 curve)	2	2+ 3- 5+ 17- 53-	2+ 3- 5+  1 -3 -6 17-  1
Curve Equation t Generators 81090k1 [1,-1,0,-1080,119200] 1 [-49:254:1]&[5:-340:1]
81090l (2 curves)	0	2+ 3- 5+ 17- 53-	2+ 3- 5+ -2  4  4 17- -4
Curve Equation t 81090l1 [1,-1,0,812115,-104314959] 2 81090l2 [1,-1,0,-3485655,-859862925] 2
81090m (4 curves)	1	2+ 3- 5- 17+ 53+	2+ 3- 5-  0 -4 -2 17+ -4
Curve Equation t Generators 81090m1 [1,-1,0,-124074,-21844620] 2 [1941:82977:1] 81090m2 [1,-1,0,-2146554,-1209849372] 4 [-843:714:1] 81090m3 [1,-1,0,-2308734,-1016303760] 2 [-1029:16917:1] 81090m4 [1,-1,0,-34344054,-77459968872] 2 [8827:549744:1]
81090n (2 curves)	0	2+ 3- 5- 17+ 53-	2+ 3- 5-  0  6  2 17+ -4
Curve Equation t 81090n1 [1,-1,0,-246344208804,1794483339010128] 2 81090n2 [1,-1,0,-2655150248484,-1659574940348147760] 2
81090o (1 curve)	2	2+ 3- 5- 17+ 53-	2+ 3- 5- -3 -4 -1 17+ -1
Curve Equation t Generators 81090o1 [1,-1,0,-253944,-20530800] 1 [-416:3812:1]&[-204:-4668:1]
81090p (1 curve)	2	2+ 3- 5- 17+ 53-	2+ 3- 5- -3 -6 -1 17+  5
Curve Equation t Generators 81090p1 [1,-1,0,-1674,26568] 1 [27:9:1]&[-36:216:1]
81090q (2 curves)	0	2+ 3- 5- 17+ 53-	2+ 3- 5- -4  6  4 17+  4
Curve Equation t 81090q1 [1,-1,0,-459,-36347] 2 81090q2 [1,-1,0,-19539,-1039955] 2
81090r (1 curve)	0	2+ 3- 5- 17+ 53-	2+ 3- 5- -5  2 -1 17+ -1
Curve Equation t 81090r1 [1,-1,0,-60638454,-181732982072] 1
81090s (2 curves)	1	2+ 3- 5- 17- 53-	2+ 3- 5-  2 -2 -2 17- -8
Curve Equation t Generators 81090s1 [1,-1,0,-10584,-447120] 2 [1062:4977:8] 81090s2 [1,-1,0,-172764,-27596052] 2 [21414:1082793:8]
81090t (2 curves)	1	2+ 3- 5- 17- 53-	2+ 3- 5- -2  4 -2 17-  2
Curve Equation t Generators 81090t1 [1,-1,0,-331344,71601408] 2 [207:3339:1] 81090t2 [1,-1,0,83376,238567680] 2 [-384:12432:1]
81090u (2 curves)	1	2+ 3- 5- 17- 53-	2+ 3- 5-  4  6 -4 17- -4
Curve Equation t Generators 81090u1 [1,-1,0,-91269,-10838975] 2 [656:14207:1] 81090u2 [1,-1,0,-1469799,-685491557] 2 [1557:27484:1]
81090v (2 curves)	0	2- 3+ 5+ 17+ 53+	2- 3+ 5+  4  0  4 17+  4
Curve Equation t 81090v1 [1,-1,1,-520583,144884731] 2 81090v2 [1,-1,1,-8332253,9259541287] 2
81090w (2 curves)	1	2- 3+ 5+ 17+ 53-	2- 3+ 5+  0 -4  2 17+ -2
Curve Equation t Generators 81090w1 [1,-1,1,-323,39747] 2 [-13:210:1] 81090w2 [1,-1,1,-19523,1045827] 2 [35:618:1]
81090x (1 curve)	1	2- 3+ 5+ 17+ 53-	2- 3+ 5+  3  2  5 17+  1
Curve Equation t Generators 81090x1 [1,-1,1,-5817653,-5399488419] 1 [-45632480:24399231:32768]
81090y (2 curves)	0	2- 3+ 5+ 17- 53-	2- 3+ 5+  0  0  2 17- -2
Curve Equation t 81090y1 [1,-1,1,-311543,67703231] 2 81090y2 [1,-1,1,-4999043,4303328231] 2
81090z (1 curve)	2	2- 3+ 5- 17+ 53-	2- 3+ 5- -3 -2 -3 17+ -5
Curve Equation t Generators 81090z1 [1,-1,1,-3407,60439] 1 [67:326:1]&[-43:376:1]
81090ba (1 curve)	1	2- 3+ 5- 17- 53-	2- 3+ 5-  1  4  5 17- -1
Curve Equation t Generators 81090ba1 [1,-1,1,-164702,24002029] 1 [397:-4789:1]
81090bb (2 curves)	1	2- 3- 5+ 17+ 53+	2- 3- 5+  0  2 -2 17+ -4
Curve Equation t Generators 81090bb1 [1,-1,1,-6773,214697] 2 [-546:5039:8] 81090bb2 [1,-1,1,-11543,-123019] 2 [-610:4751:8]
81090bc (2 curves)	1	2- 3- 5+ 17+ 53+	2- 3- 5+ -2  4 -2 17+ -6
Curve Equation t Generators 81090bc1 [1,-1,1,-8973833,-10344770823] 2 [119864569:6121804026:24389] 81090bc2 [1,-1,1,-8959253,-10380071919] 2 [107704532828909615:-5609348015793132522:21916738896625]
81090bd (1 curve)	1	2- 3- 5+ 17+ 53+	2- 3- 5+  3 -4 -5 17+ -1
Curve Equation t Generators 81090bd1 [1,-1,1,-17077433,-27158992423] 1 [-2385:1228:1]
81090be (2 curves)	1	2- 3- 5+ 17+ 53+	2- 3- 5+  4 -6 -2 17+  4
Curve Equation t Generators 81090be1 [1,-1,1,-1325558,-552828923] 2 [-727:5483:1] 81090be2 [1,-1,1,-20863478,-36674535419] 2 [-2635:1667:1]
81090bf (2 curves)	1	2- 3- 5+ 17+ 53+	2- 3- 5+ -4  2  4 17+  4
Curve Equation t Generators 81090bf1 [1,-1,1,15232,45731] 2 [21:601:1] 81090bf2 [1,-1,1,-61088,412067] 2 [-87:2293:1]
81090bg (2 curves)	0	2- 3- 5+ 17+ 53-	2- 3- 5+  0 -4 -4 17+  4
Curve Equation t 81090bg1 [1,-1,1,112,-6609] 2 81090bg2 [1,-1,1,-4658,-117273] 2
81090bh (1 curve)	1	2- 3- 5+ 17- 53-	2- 3- 5+ -3  1  2 17- -5
Curve Equation t Generators 81090bh1 [1,-1,1,139207,140816657] 1 [-167:10708:1]
81090bi (2 curves)	2	2- 3- 5- 17+ 53+	2- 3- 5- -2 -6 -2 17+ -8
Curve Equation t Generators 81090bi1 [1,-1,1,-2723927,1825751279] 2 [1347:-25154:1]&[-1533:49726:1] 81090bi2 [1,-1,1,-44242007,113276885231] 2 [3891:-7346:1]&[-3759:477754:1]
81090bj (1 curve)	2	2- 3- 5- 17+ 53+	2- 3- 5- -5  0 -5 17+ -5
Curve Equation t Generators 81090bj1 [1,-1,1,-1112,-7189] 1 [-29:19:1]&[-21:91:1]
81090bk (4 curves)	1	2- 3- 5- 17+ 53-	2- 3- 5-  0  4 -6 17+ -8
Curve Equation t Generators 81090bk1 [1,-1,1,-857,-9431] 2 [2613:22936:27] 81090bk2 [1,-1,1,-1037,-5039] 4 [-202:637:8] 81090bk3 [1,-1,1,3733,-41291] 2 [4722:46031:216] 81090bk4 [1,-1,1,-8687,310141] 2 [3062:56677:8]
81090bl (2 curves)	1	2- 3- 5- 17+ 53-	2- 3- 5- -4  2  2 17+ -2
Curve Equation t Generators 81090bl1 [1,-1,1,-797,8741] 2 [-21:136:1] 81090bl2 [1,-1,1,-77,23429] 2 [9:-158:1]
81090bm (2 curves)	1	2- 3- 5- 17- 53+	2- 3- 5- -1  0 -1 17-  5
Curve Equation t Generators 81090bm1 [1,-1,1,-2128622,-1017630979] 1 [3621:-198641:1] 81090bm2 [1,-1,1,-46754357,122947792589] 3 [5727:204496:1]

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