Cremona's table of elliptic curves

47970 = 2 · 3² · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
47970a (1 curve)	0	2+ 3+ 5+ 13- 41+	2+ 3+ 5+  1 -4 13-  4 -3
Curve Equation t 47970a1 [1,-1,0,3300,-534960] 1
47970b (2 curves)	2	2+ 3+ 5- 13+ 41+	2+ 3+ 5-  0 -4 13+ -6 -2
Curve Equation t Generators 47970b1 [1,-1,0,-131199,18324493] 2 [197:-406:1]&[89:2666:1] 47970b2 [1,-1,0,-2099199,1171178893] 2 [-8594:378307:8]&[837:-431:1]
47970c (1 curve)	2	2+ 3+ 5- 13+ 41+	2+ 3+ 5- -3 -4 13+  0 -5
Curve Equation t Generators 47970c1 [1,-1,0,231,883] 1 [17:89:1]&[-1:26:1]
47970d (2 curves)	0	2+ 3+ 5- 13+ 41+	2+ 3+ 5-  4  4 13+  6  2
Curve Equation t 47970d1 [1,-1,0,-804,-30640] 2 47970d2 [1,-1,0,-20484,-1120912] 2
47970e (2 curves)	0	2+ 3+ 5- 13- 41-	2+ 3+ 5-  4  4 13-  2  6
Curve Equation t 47970e1 [1,-1,0,-2769,69533] 2 47970e2 [1,-1,0,-47049,3939605] 2
47970f (4 curves)	0	2+ 3- 5+ 13+ 41+	2+ 3- 5+  0  4 13+ -6 -4
Curve Equation t 47970f1 [1,-1,0,-95715,-21876075] 2 47970f2 [1,-1,0,-1895715,-1003596075] 4 47970f3 [1,-1,0,-2264715,-584928675] 2 47970f4 [1,-1,0,-30326715,-64273943475] 2
47970g (1 curve)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+  0 -2 13+  4  2
Curve Equation t Generators 47970g1 [1,-1,0,30,-604] 1 [8:6:1]
47970h (4 curves)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+  0 -4 13+  6  8
Curve Equation t Generators 47970h1 [1,-1,0,855,-108675] 2 [298:5003:1] 47970h2 [1,-1,0,-29565,-1879119] 4 [-90:261:1] 47970h3 [1,-1,0,-77535,5805675] 2 [2478:25815:8] 47970h4 [1,-1,0,-468315,-123237369] 2 [10286:294075:8]
47970i (6 curves)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+  0  4 13- -2 -4
Curve Equation t Generators 47970i1 [1,-1,0,-29700,-2030000] 2 [1447127400:11657321300:6128487] 47970i2 [1,-1,0,-479700,-127760000] 4 [25500:423400:27] 47970i3 [1,-1,0,-484200,-125237300] 4 [-379:2120:1] 47970i4 [1,-1,0,-7675200,-8182402700] 2 [294501:-29794379:27] 47970i5 [1,-1,0,200250,-451446170] 2 [3131:174110:1] 47970i6 [1,-1,0,-1240650,362370370] 2 [-727:30023:1]
47970j (2 curves)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+ -2  0 13-  2  4
Curve Equation t Generators 47970j1 [1,-1,0,-9420,-74800] 2 [-89:274:1] 47970j2 [1,-1,0,36660,-618544] 2 [280:5476:1]
47970k (1 curve)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+ -2  2 13-  4  0
Curve Equation t Generators 47970k1 [1,-1,0,9495,946701] 1 [58:-1329:1]
47970l (2 curves)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+ -4  2 13-  6  0
Curve Equation t Generators 47970l1 [1,-1,0,180,-1904] 2 [17:68:1] 47970l2 [1,-1,0,-1620,-20984] 2 [-25:71:1]
47970m (1 curve)	0	2+ 3- 5+ 13- 41-	2+ 3- 5+ -3  2 13- -6  7
Curve Equation t 47970m1 [1,-1,0,1970415,3244108675] 1
47970n (2 curves)	1	2+ 3- 5- 13+ 41+	2+ 3- 5-  0  2 13+  6 -2
Curve Equation t Generators 47970n1 [1,-1,0,-20439,-1119587] 2 [5898:56227:27] 47970n2 [1,-1,0,-19719,-1202675] 2 [266:3377:1]
47970o (2 curves)	1	2+ 3- 5- 13+ 41+	2+ 3- 5- -2  2 13+ -6  2
Curve Equation t Generators 47970o1 [1,-1,0,-999,5805] 2 [51:-318:1] 47970o2 [1,-1,0,3501,40905] 2 [31:-438:1]
47970p (2 curves)	1	2+ 3- 5- 13+ 41+	2+ 3- 5- -2 -2 13+  0  2
Curve Equation t Generators 47970p1 [1,-1,0,-1329,18953] 2 [4:115:1] 47970p2 [1,-1,0,-1779,5363] 2 [-1:85:1]
47970q (2 curves)	0	2+ 3- 5- 13- 41+	2+ 3- 5-  0  4 13-  6  6
Curve Equation t 47970q1 [1,-1,0,60741,11024613] 2 47970q2 [1,-1,0,-529659,125444133] 2
47970r (4 curves)	0	2+ 3- 5- 13- 41+	2+ 3- 5-  2 -6 13- -6  2
Curve Equation t 47970r1 [1,-1,0,-1876734,-878833260] 2 47970r2 [1,-1,0,2731266,-4520074860] 2 47970r3 [1,-1,0,-36356094,84260341908] 6 47970r4 [1,-1,0,-25106094,137362591908] 6
47970s (2 curves)	0	2+ 3- 5- 13- 41+	2+ 3- 5- -2  2 13-  0  6
Curve Equation t 47970s1 [1,-1,0,-135954,16555860] 2 47970s2 [1,-1,0,-596754,-161220780] 2
47970t (2 curves)	2	2+ 3- 5- 13- 41+	2+ 3- 5- -2 -4 13- -4  0
Curve Equation t Generators 47970t1 [1,-1,0,-4914,254848] 2 [-698:1285:8]&[-58:614:1] 47970t2 [1,-1,0,-97164,11675398] 2 [-301:3836:1]&[-1394:39307:8]
47970u (1 curve)	1	2+ 3- 5- 13- 41-	2+ 3- 5-  1  6 13-  2  1
Curve Equation t Generators 47970u1 [1,-1,0,-64584,6334038] 1 [117:-666:1]
47970v (2 curves)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  0  4 13+  6 -2
Curve Equation t Generators 47970v1 [1,-1,1,-1180793,-493580519] 2 [1363:20000:1] 47970v2 [1,-1,1,-18892793,-31602937319] 2 [34163:-6277600:1]
47970w (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+ -3  4 13+  0 -5
Curve Equation t Generators 47970w1 [1,-1,1,2077,-25919] 1 [94:-25:8]
47970x (2 curves)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  4 -4 13+ -6  2
Curve Equation t Generators 47970x1 [1,-1,1,-7238,834517] 2 [-37:1043:1] 47970x2 [1,-1,1,-184358,30448981] 2 [151:2381:1]
47970y (2 curves)	1	2- 3+ 5+ 13- 41+	2- 3+ 5+  4 -4 13- -2  6
Curve Equation t Generators 47970y1 [1,-1,1,-308,-2473] 2 [33:133:1] 47970y2 [1,-1,1,-5228,-144169] 2 [115:817:1]
47970z (1 curve)	1	2- 3+ 5- 13- 41-	2- 3+ 5-  1  4 13- -4 -3
Curve Equation t Generators 47970z1 [1,-1,1,29698,14414221] 1 [-71:3491:1]
47970ba (1 curve)	1	2- 3- 5+ 13+ 41+	2- 3- 5+  1 -2 13+ -2  5
Curve Equation t Generators 47970ba1 [1,-1,1,3037,2000067] 1 [255:4266:1]
47970bb (2 curves)	1	2- 3- 5+ 13+ 41+	2- 3- 5+  2 -6 13+ -4  2
Curve Equation t Generators 47970bb1 [1,-1,1,-11723,491447] 2 [414:959:8] 47970bb2 [1,-1,1,-12173,452027] 2 [350:159:8]
47970bc (2 curves)	1	2- 3- 5+ 13+ 41+	2- 3- 5+ -2  0 13+  4 -2
Curve Equation t Generators 47970bc1 [1,-1,1,-35708,-5912769] 2 [293:2805:1] 47970bc2 [1,-1,1,-755708,-252440769] 2 [-499:717:1]
47970bd (2 curves)	0	2- 3- 5+ 13+ 41-	2- 3- 5+ -2  4 13+  0  8
Curve Equation t 47970bd1 [1,-1,1,-105773,-36159919] 2 47970bd2 [1,-1,1,-2412023,-1439282419] 2
47970be (1 curve)	2	2- 3- 5+ 13+ 41-	2- 3- 5+ -5 -2 13+ -6 -1
Curve Equation t Generators 47970be1 [1,-1,1,-608,15491] 1 [-27:121:1]&[-23:141:1]
47970bf (2 curves)	0	2- 3- 5+ 13- 41+	2- 3- 5+ -2  2 13-  4 -6
Curve Equation t 47970bf1 [1,-1,1,-1022108,391235231] 2 47970bf2 [1,-1,1,-2147108,-623964769] 2
47970bg (2 curves)	1	2- 3- 5+ 13- 41-	2- 3- 5+ -4  4 13- -2 -2
Curve Equation t Generators 47970bg1 [1,-1,1,-2453,47837] 2 [25:-54:1] 47970bg2 [1,-1,1,-39353,3014597] 2 [27:1390:1]
47970bh (4 curves)	0	2- 3- 5- 13+ 41+	2- 3- 5-  0  4 13+ -6 -4
Curve Equation t 47970bh1 [1,-1,1,-40667,-3146101] 2 47970bh2 [1,-1,1,-43547,-2672629] 4 47970bh3 [1,-1,1,102253,-16844389] 2 47970bh4 [1,-1,1,-235427,41766779] 2
47970bi (2 curves)	0	2- 3- 5- 13+ 41+	2- 3- 5- -2  4 13+ -2  8
Curve Equation t 47970bi1 [1,-1,1,-1796252,806195679] 2 47970bi2 [1,-1,1,2927668,4328350431] 2
47970bj (1 curve)	2	2- 3- 5- 13+ 41+	2- 3- 5- -3 -6 13+ -2 -5
Curve Equation t Generators 47970bj1 [1,-1,1,-396932,96819239] 1 [447:2701:1]&[357:-899:1]
47970bk (4 curves)	0	2- 3- 5- 13+ 41+	2- 3- 5-  4 -4 13+ -6 -4
Curve Equation t 47970bk1 [1,-1,1,-391037,-83103051] 2 47970bk2 [1,-1,1,-1572017,673196541] 4 47970bk3 [1,-1,1,2313553,3472361169] 2 47970bk4 [1,-1,1,-24353267,46263034041] 2
47970bl (1 curve)	1	2- 3- 5- 13- 41+	2- 3- 5- -2  2 13-  0 -4
Curve Equation t Generators 47970bl1 [1,-1,1,-5792,175191] 1 [21:239:1]
47970bm (2 curves)	1	2- 3- 5- 13- 41+	2- 3- 5-  4  2 13- -6 -4
Curve Equation t Generators 47970bm1 [1,-1,1,778,-99579] 2 [81:659:1] 47970bm2 [1,-1,1,-28022,-1735419] 2 [-91:279:1]
47970bn (2 curves)	0	2- 3- 5- 13- 41-	2- 3- 5- -2  4 13-  2  0
Curve Equation t 47970bn1 [1,-1,1,-392,1851] 2 47970bn2 [1,-1,1,1228,12219] 2
47970bo (4 curves)	0	2- 3- 5- 13- 41-	2- 3- 5-  4  4 13- -2 -4
Curve Equation t 47970bo1 [1,-1,1,-932,-4921] 2 47970bo2 [1,-1,1,-7412,243911] 4 47970bo3 [1,-1,1,-392,681959] 2 47970bo4 [1,-1,1,-118112,15653351] 4

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