Cremona's table of elliptic curves

35550 = 2 · 3² · 5² · 79

Class	r	Atkin-Lehner	Eigenvalues
35550a (2 curves)	1	2+ 3+ 5+ 79+	2+ 3+ 5+  2 -4  4 -2  8
Curve Equation t Generators 35550a1 [1,-1,0,529833,577283741] 2 [651830:47292149:125] 35550a2 [1,-1,0,-8002167,8059847741] 2 [1512304885:98627601353:274625]
35550b (1 curve)	0	2+ 3+ 5+ 79-	2+ 3+ 5+  0 -2 -1  6  3
Curve Equation t 35550b1 [1,-1,0,11433,-62659] 1
35550c (2 curves)	0	2+ 3+ 5+ 79-	2+ 3+ 5+  0  4 -4  0  0
Curve Equation t 35550c1 [1,-1,0,-138417,19855241] 2 35550c2 [1,-1,0,-131667,21873491] 2
35550d (1 curve)	2	2+ 3+ 5+ 79-	2+ 3+ 5+ -1 -3 -5 -1 -6
Curve Equation t Generators 35550d1 [1,-1,0,-1542,24116] 1 [-20:226:1]&[19:-47:1]
35550e (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5-  2 -4  3  6 -5
Curve Equation t Generators 35550e1 [1,-1,0,-13992,644416] 1 [69:28:1]
35550f (1 curve)	1	2+ 3+ 5- 79-	2+ 3+ 5- -2  4 -3  6 -5
Curve Equation t Generators 35550f1 [1,-1,0,-5037,-137179] 1 [145:1399:1]
35550g (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5-  4  2  0 -6  4
Curve Equation t Generators 35550g1 [1,-1,0,-40447992,-99003259584] 2 [576812852479975704950950914:193088806335636332350661675793:5115374788176258633656] 35550g2 [1,-1,0,-647167992,-6336691579584] 2 [14048826720007506672853214265924104751391570465791010:4604358404938009008724490018207860441433761660334474273:123330834618200943770798682890563228498434739000]
35550h (2 curves)	1	2+ 3+ 5- 79-	2+ 3+ 5- -4 -2  0 -6  4
Curve Equation t Generators 35550h1 [1,-1,0,-14561277,21390528581] 2 [2209:-632:1] 35550h2 [1,-1,0,-232980477,1368818573381] 2 [3022775:-1511112:343]
35550i (1 curve)	2	2+ 3- 5+ 79+	2+ 3- 5+ -2  2 -7 -4  1
Curve Equation t Generators 35550i1 [1,-1,0,-792,11866] 1 [29:-127:1]&[-21:148:1]
35550j (2 curves)	0	2+ 3- 5+ 79+	2+ 3- 5+ -2 -2 -1  7 -5
Curve Equation t 35550j1 [1,-1,0,-1476927,-689855859] 1 35550j2 [1,-1,0,-40106367,97721774541] 1
35550k (2 curves)	0	2+ 3- 5+ 79+	2+ 3- 5+ -2  4  2  4  4
Curve Equation t 35550k1 [1,-1,0,333,-173259] 2 35550k2 [1,-1,0,-44667,-3548259] 2
35550l (2 curves)	0	2+ 3- 5+ 79+	2+ 3- 5+ -2 -4  2 -4  4
Curve Equation t 35550l1 [1,-1,0,-458133417,-4391169838259] 2 35550l2 [1,-1,0,-7658133417,-257939169838259] 2
35550m (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+  3 -4  7 -4 -6
Curve Equation t 35550m1 [1,-1,0,-792,-7884] 1
35550n (1 curve)	0	2+ 3- 5+ 79+	2+ 3- 5+  3  5  1  5 -6
Curve Equation t 35550n1 [1,-1,0,18108,200016] 1
35550o (3 curves)	1	2+ 3- 5+ 79-	2+ 3- 5+  1  0 -5  0  2
Curve Equation t Generators 35550o1 [1,-1,0,-10467,-409559] 1 [-1590:877:27] 35550o2 [1,-1,0,-18342,291316] 1 [-132:698:1] 35550o3 [1,-1,0,-1173717,489725941] 1 [-582:31523:1]
35550p (2 curves)	1	2+ 3- 5+ 79-	2+ 3- 5+  1 -3  1  3  2
Curve Equation t Generators 35550p1 [1,-1,0,-4327823817,314905729811341] 1 [175170497758366:-52501376475762383:1723683599] 35550p2 [1,-1,0,-510242433192,140285967017233216] 1 [533416995536:-1273184171368:1295029]
35550q (2 curves)	1	2+ 3- 5+ 79-	2+ 3- 5+  1 -3  1 -3 -4
Curve Equation t Generators 35550q1 [1,-1,0,-26667,-47419259] 1 [710:-17419:1] 35550q2 [1,-1,0,239958,1279040116] 1 [260:-36994:1]
35550r (1 curve)	1	2+ 3- 5+ 79-	2+ 3- 5+  1  5  1 -1 -2
Curve Equation t Generators 35550r1 [1,-1,0,-1467,-49559] 1 [164:1943:1]
35550s (2 curves)	1	2+ 3- 5+ 79-	2+ 3- 5+ -2  0  1  3 -1
Curve Equation t Generators 35550s1 [1,-1,0,-9972,58576] 1 [-72:668:1] 35550s2 [1,-1,0,-596547,177492181] 1 [198:8093:1]
35550t (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5- -2  1  2  1 -1
Curve Equation t Generators 35550t1 [1,-1,0,-247167,47395341] 1 [289:53:1]
35550u (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5- -2 -2  5 -5 -1
Curve Equation t Generators 35550u1 [1,-1,0,-10242,394416] 1 [-6:678:1]
35550v (1 curve)	1	2+ 3- 5- 79+	2+ 3- 5- -2 -6 -3 -3  3
Curve Equation t Generators 35550v1 [1,-1,0,-28242,888916] 1 [20:566:1]
35550w (2 curves)	0	2+ 3- 5- 79-	2+ 3- 5-  2  6  2  6  0
Curve Equation t 35550w1 [1,-1,0,9873,942381] 2 35550w2 [1,-1,0,-105327,11655981] 2
35550x (1 curve)	2	2+ 3- 5- 79-	2+ 3- 5- -2  0 -5 -3 -1
Curve Equation t Generators 35550x1 [1,-1,0,-567,4941] 1 [-27:18:1]&[-6:-87:1]
35550y (2 curves)	0	2+ 3- 5- 79-	2+ 3- 5-  4  2 -6  0 -8
Curve Equation t 35550y1 [1,-1,0,-52992,4660416] 2 35550y2 [1,-1,0,-97992,-4384584] 2
35550z (2 curves)	0	2+ 3- 5- 79-	2+ 3- 5- -4  0 -4 -6  8
Curve Equation t 35550z1 [1,-1,0,-342,-2484] 1 35550z2 [1,-1,0,1908,-3834] 3
35550ba (1 curve)	0	2+ 3- 5- 79-	2+ 3- 5- -4  0  5  0 -3
Curve Equation t 35550ba1 [1,-1,0,4383,701541] 1
35550bb (2 curves)	0	2- 3+ 5+ 79+	2- 3+ 5+  2  4  4  2  8
Curve Equation t 35550bb1 [1,-1,1,58870,-21400503] 2 35550bb2 [1,-1,1,-889130,-298216503] 2
35550bc (1 curve)	1	2- 3+ 5+ 79-	2- 3+ 5+  0  2 -1 -6  3
Curve Equation t Generators 35550bc1 [1,-1,1,1270,1897] 1 [29:-265:1]
35550bd (2 curves)	1	2- 3+ 5+ 79-	2- 3+ 5+  0 -4 -4  0  0
Curve Equation t Generators 35550bd1 [1,-1,1,-15380,-730253] 2 [2489:122755:1] 35550bd2 [1,-1,1,-14630,-805253] 2 [10194704:502816225:4096]
35550be (1 curve)	1	2- 3+ 5+ 79-	2- 3+ 5+ -1  3 -5  1 -6
Curve Equation t Generators 35550be1 [1,-1,1,-13880,-637253] 1 [169:1265:1]
35550bf (1 curve)	0	2- 3+ 5- 79-	2- 3+ 5-  2  4  3 -6 -5
Curve Equation t 35550bf1 [1,-1,1,-125930,-17273303] 1
35550bg (1 curve)	2	2- 3+ 5- 79-	2- 3+ 5- -2 -4 -3 -6 -5
Curve Equation t Generators 35550bg1 [1,-1,1,-560,5267] 1 [9:-35:1]&[-11:105:1]
35550bh (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5-  4 -2  0  6  4
Curve Equation t 35550bh1 [1,-1,1,-364031930,2673452040697] 2 35550bh2 [1,-1,1,-5824511930,171096497160697] 2
35550bi (2 curves)	0	2- 3+ 5- 79-	2- 3+ 5- -4  2  0  6  4
Curve Equation t 35550bi1 [1,-1,1,-1617920,-791702493] 2 35550bi2 [1,-1,1,-25886720,-50688355293] 2
35550bj (4 curves)	1	2- 3- 5+ 79+	2- 3- 5+  0  0 -6 -6  4
Curve Equation t Generators 35550bj1 [1,-1,1,-6755,195747] 4 [-91:270:1] 35550bj2 [1,-1,1,-24755,-1280253] 4 [-115:246:1] 35550bj3 [1,-1,1,42745,-7085253] 2 [135:996:1] 35550bj4 [1,-1,1,-380255,-90155253] 2 [-122395:49524:343]
35550bk (6 curves)	1	2- 3- 5+ 79+	2- 3- 5+  0  4  2 -6  4
Curve Equation t Generators 35550bk1 [1,-1,1,-11970005,-16071970003] 2 [112159:37487920:1] 35550bk2 [1,-1,1,-191970005,-1023711970003] 4 [247144573:82106766490:2197] 35550bk3 [1,-1,1,-192420005,-1018671070003] 4 [718167721037720759:-239305938587326601580:6384133738151] 35550bk4 [1,-1,1,-3071520005,-65519872870003] 2 [-546784495527941130926565:273383330777641461275626:17088484076760190375] 35550bk5 [1,-1,1,-51997505,-2473729015003] 2 [6006431207555667696626322534149676011:-2009529773447216519229927701790690193170:53505433123314629019937832455829] 35550bk6 [1,-1,1,-340042505,758999074997] 2 [6122796739405550667444309173228617091:-2031723428879653372980584220442404650070:54310733636466893951595930736049]
35550bl (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+  0  4 -2 -2  0
Curve Equation t Generators 35550bl1 [1,-1,1,220,-2653] 2 [169:2115:1] 35550bl2 [1,-1,1,-2030,-29653] 2 [10996:132795:64]
35550bm (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+ -1  3 -3  3 -6
Curve Equation t Generators 35550bm1 [1,-1,1,-76730,8776397] 1 [249:2125:1]
35550bn (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  2  1 -2 -1 -1
Curve Equation t Generators 35550bn1 [1,-1,1,-6179180,5918238447] 1 [1365:-5739:1]
35550bo (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+  2 -2  1  8  5
Curve Equation t Generators 35550bo1 [1,-1,1,-738005,1746161997] 1 [-1327:20346:1] 35550bo2 [1,-1,1,-1042904255,12963536869497] 1 [-57866:35920893:8]
35550bp (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  2 -2 -5  5 -1
Curve Equation t Generators 35550bp1 [1,-1,1,-410,3237] 1 [5:33:1]
35550bq (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+  2  4 -2 -4 -4
Curve Equation t Generators 35550bq1 [1,-1,1,-5630,-198003] 2 [129:1035:1] 35550bq2 [1,-1,1,-95630,-11358003] 2 [579:10985:1]
35550br (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  2 -6  3  3  3
Curve Equation t Generators 35550br1 [1,-1,1,-1130,7337] 1 [-15:151:1]
35550bs (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+ -2 -2 -1  4  1
Curve Equation t Generators 35550bs1 [1,-1,1,3647020,2337438647] 1 [859:-78555:1]
35550bt (1 curve)	1	2- 3- 5+ 79+	2- 3- 5+  3 -5  5 -3 -8
Curve Equation t Generators 35550bt1 [1,-1,1,-5,49997] 1 [9:-230:1]
35550bu (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+ -3 -2  1 -2  0
Curve Equation t Generators 35550bu1 [1,-1,1,-94505,-11060503] 1 [-185:348:1] 35550bu2 [1,-1,1,-5260505,4645143497] 1 [265:57048:1]
35550bv (2 curves)	1	2- 3- 5+ 79+	2- 3- 5+  4 -2  2 -2  4
Curve Equation t Generators 35550bv1 [1,-1,1,13098145,147221976647] 2 [55539:13094230:1] 35550bv2 [1,-1,1,-350933855,2420965848647] 2 [7094055:1603530494:125]
35550bw (4 curves)	1	2- 3- 5+ 79+	2- 3- 5+ -4 -4  2 -2  4
Curve Equation t Generators 35550bw1 [1,-1,1,22495,22497] 2 [9:470:1] 35550bw2 [1,-1,1,-90005,247497] 4 [2259:105270:1] 35550bw3 [1,-1,1,-978755,-371250003] 2 [6447546:275227455:2744] 35550bw4 [1,-1,1,-1001255,384794997] 2 [4342:5925:8]
35550bx (1 curve)	0	2- 3- 5+ 79-	2- 3- 5+  2  0  5  3 -1
Curve Equation t 35550bx1 [1,-1,1,-14180,603447] 1
35550by (2 curves)	2	2- 3- 5+ 79-	2- 3- 5+ -2 -6 -5  0 -7
Curve Equation t Generators 35550by1 [1,-1,1,6520,3027147] 1 [-121:735:1]&[149:2625:1] 35550by2 [1,-1,1,-1397480,636339147] 1 [239:-17895:1]&[-841:35295:1]
35550bz (1 curve)	0	2- 3- 5+ 79-	2- 3- 5+  3  2  5  6  0
Curve Equation t 35550bz1 [1,-1,1,-1955,-23453] 1
35550ca (2 curves)	0	2- 3- 5+ 79-	2- 3- 5+  4  0  4  6  8
Curve Equation t 35550ca1 [1,-1,1,-8555,-319053] 1 35550ca2 [1,-1,1,47695,-431553] 1
35550cb (1 curve)	0	2- 3- 5+ 79-	2- 3- 5+  5  3  5 -3  2
Curve Equation t 35550cb1 [1,-1,1,-507380,-149091753] 1
35550cc (2 curves)	0	2- 3- 5- 79+	2- 3- 5-  2 -2  1 -7 -5
Curve Equation t 35550cc1 [1,-1,1,-1604255,782095047] 1 35550cc2 [1,-1,1,-36923180,-86268905553] 1
35550cd (2 curves)	1	2- 3- 5- 79-	2- 3- 5-  2  0 -1 -3 -1
Curve Equation t Generators 35550cd1 [1,-1,1,-249305,7072697] 1 [-45:4288:1] 35550cd2 [1,-1,1,-14913680,22171608947] 3 [-4131:117265:1]
35550ce (2 curves)	1	2- 3- 5- 79-	2- 3- 5- -2  6 -2 -6  0
Curve Equation t Generators 35550ce1 [1,-1,1,246820,118044447] 2 [-81:9915:1] 35550ce2 [1,-1,1,-2633180,1454364447] 2 [485:16821:1]
35550cf (1 curve)	1	2- 3- 5- 79-	2- 3- 5-  4  0 -5  0 -3
Curve Equation t Generators 35550cf1 [1,-1,1,175,5577] 1 [5:-84:1]
35550cg (2 curves)	1	2- 3- 5- 79-	2- 3- 5- -4  2  6  0 -8
Curve Equation t Generators 35550cg1 [1,-1,1,-2120,37707] 2 [-31:285:1] 35550cg2 [1,-1,1,-3920,-34293] 2 [-37:261:1]

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