Cremona's table of elliptic curves

72675 = 3² · 5² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
72675a (2 curves)	1	3+ 5+ 17+ 19+	-1 3+ 5+  2 -4 -4 17+ 19+
Curve Equation t Generators 72675a1 [1,-1,1,-72605,7572772] 2 [148:-304:1] 72675a2 [1,-1,1,-1162730,482867272] 2 [-221:27110:1]
72675b (1 curve)	1	3+ 5+ 17+ 19+	-1 3+ 5+ -2  1  6 17+ 19+
Curve Equation t Generators 72675b1 [1,-1,1,25,72] 1 [0:8:1]
72675c (2 curves)	0	3+ 5+ 17+ 19-	1 3+ 5+ -2  0 -4 17+ 19-
Curve Equation t 72675c1 [1,-1,0,-3417,13616] 2 72675c2 [1,-1,0,13458,97991] 2
72675d (1 curve)	0	3+ 5+ 17+ 19-	1 3+ 5+ -2 -3  2 17+ 19-
Curve Equation t 72675d1 [1,-1,0,333948,-195309379] 1
72675e (2 curves)	0	3+ 5+ 17- 19+	1 3+ 5+  2  4 -4 17- 19+
Curve Equation t 72675e1 [1,-1,0,-8067,-277784] 2 72675e2 [1,-1,0,-129192,-17840909] 2
72675f (1 curve)	0	3+ 5+ 17- 19+	1 3+ 5+ -2 -1  6 17- 19+
Curve Equation t 72675f1 [1,-1,0,228,-2179] 1
72675g (2 curves)	1	3+ 5+ 17- 19-	-1 3+ 5+ -2  0 -4 17- 19-
Curve Equation t Generators 72675g1 [1,-1,1,-380,-378] 2 [-16:45:1] 72675g2 [1,-1,1,1495,-4128] 2 [24:-225:1]
72675h (1 curve)	1	3+ 5+ 17- 19-	-1 3+ 5+ -2  3  2 17- 19-
Curve Equation t Generators 72675h1 [1,-1,1,37105,7221312] 1 [-130:498:1]
72675i (1 curve)	2	3+ 5- 17+ 19+	-1 3+ 5-  2 -1 -6 17+ 19+
Curve Equation t Generators 72675i1 [1,-1,1,5695,-266678] 1 [38:40:1]&[55:431:1]
72675j (2 curves)	0	3+ 5- 17+ 19+	-1 3+ 5-  4  4 -4 17+ 19+
Curve Equation t 72675j1 [1,-1,1,-1715,-31838] 2 72675j2 [1,-1,1,-28790,-1872938] 2
72675k (2 curves)	0	3+ 5- 17+ 19+	-1 3+ 5- -4 -4  4 17+ 19+
Curve Equation t 72675k1 [1,-1,1,-385805,108995572] 2 72675k2 [1,-1,1,-6477680,6347075572] 2
72675l (1 curve)	1	3+ 5- 17+ 19-	1 3+ 5-  2  3 -2 17+ 19-
Curve Equation t Generators 72675l1 [1,-1,0,927633,903591666] 1 [-38772842:1474739846:79507]
72675m (1 curve)	1	3+ 5- 17- 19+	1 3+ 5-  2  1 -6 17- 19+
Curve Equation t Generators 72675m1 [1,-1,0,633,9666] 1 [-6:78:1]
72675n (2 curves)	1	3+ 5- 17- 19+	1 3+ 5-  4 -4 -4 17- 19+
Curve Equation t Generators 72675n1 [1,-1,0,-15432,875051] 2 [50:451:1] 72675n2 [1,-1,0,-259107,50828426] 2 [178:3124:1]
72675o (2 curves)	1	3+ 5- 17- 19+	1 3+ 5- -4  4  4 17- 19+
Curve Equation t Generators 72675o1 [1,-1,0,-42867,-4022584] 2 [830760:-2247232:3375] 72675o2 [1,-1,0,-719742,-234836959] 2 [26688:103531:27]
72675p (1 curve)	0	3+ 5- 17- 19-	-1 3+ 5-  2 -3 -2 17- 19-
Curve Equation t 72675p1 [1,-1,1,8348695,-24405323678] 1
72675q (2 curves)	0	3- 5+ 17+ 19+	1 3- 5+  2  2 -6 17+ 19+
Curve Equation t 72675q1 [1,-1,0,-13477550292,-602229638614509] 2 72675q2 [1,-1,0,-13477571667,-602227632848634] 2
72675r (2 curves)	2	3- 5+ 17+ 19+	1 3- 5+ -2 -2 -2 17+ 19+
Curve Equation t Generators 72675r1 [1,-1,0,-2142,391] 2 [-10:149:1]&[-26:697:8] 72675r2 [1,-1,0,-23517,1389766] 2 [74:188:1]&[-338:12319:8]
72675s (4 curves)	0	3- 5+ 17+ 19+	1 3- 5+ -4 -4  6 17+ 19+
Curve Equation t 72675s1 [1,-1,0,-369792,86638491] 2 72675s2 [1,-1,0,-397917,72716616] 4 72675s3 [1,-1,0,968958,462275991] 2 72675s4 [1,-1,0,-2214792,-1208180259] 2
72675t (2 curves)	0	3- 5+ 17+ 19+	-1 3- 5+ -2 -2  0 17+ 19+
Curve Equation t 72675t1 [1,-1,1,49495,-279694128] 2 72675t2 [1,-1,1,-6127880,-5715784128] 2
72675u (2 curves)	0	3- 5+ 17+ 19+	-1 3- 5+  4  4  6 17+ 19+
Curve Equation t 72675u1 [1,-1,1,-48380,-4071378] 2 72675u2 [1,-1,1,-27005,-7705128] 2
72675v (2 curves)	0	3- 5+ 17+ 19+	2 3- 5+ -2 -2 -6 17+ 19+
Curve Equation t 72675v1 [0,0,1,-27435,-1749389] 1 72675v2 [0,0,1,166875,2288281] 1
72675w (1 curve)	0	3- 5+ 17+ 19+	-2 3- 5+  2  2  0 17+ 19+
Curve Equation t 72675w1 [0,0,1,-1875,-221094] 1
72675x (1 curve)	1	3- 5+ 17+ 19-	0 3- 5+ -4  2  2 17+ 19-
Curve Equation t Generators 72675x1 [0,0,1,-68700,7166781] 1 [-15:2862:1]
72675y (1 curve)	1	3- 5+ 17+ 19-	0 3- 5+ -4  2 -6 17+ 19-
Curve Equation t Generators 72675y1 [0,0,1,-10350,-935719] 1 [6205:488712:1]
72675z (2 curves)	1	3- 5+ 17+ 19-	-1 3- 5+ -2  2  2 17+ 19-
Curve Equation t Generators 72675z1 [1,-1,1,-19355,1023522] 2 [114:480:1] 72675z2 [1,-1,1,-40730,-1626978] 2 [-76:1050:1]
72675ba (2 curves)	1	3- 5+ 17+ 19-	-1 3- 5+  4  0  4 17+ 19-
Curve Equation t Generators 72675ba1 [1,-1,1,-230,-49228] 2 [48:196:1] 72675ba2 [1,-1,1,-21605,-1203478] 2 [-90:121:1]
72675bb (1 curve)	1	3- 5+ 17+ 19-	2 3- 5+ -4  0  0 17+ 19-
Curve Equation t Generators 72675bb1 [0,0,1,-165,-17879] 1 [3842:84155:8]
72675bc (4 curves)	1	3- 5+ 17- 19+	1 3- 5+ -4  4  2 17- 19+
Curve Equation t Generators 72675bc1 [1,-1,0,-1022067,397966216] 2 [-376:27188:1] 72675bc2 [1,-1,0,-1023192,397047091] 4 [21670:1047313:8] 72675bc3 [1,-1,0,-506817,797237716] 2 [46766590:-2399844851:17576] 72675bc4 [1,-1,0,-1557567,-61981034] 2 [-186:14968:1]
72675bd (1 curve)	1	3- 5+ 17- 19+	-2 3- 5+  2 -2  2 17- 19+
Curve Equation t Generators 72675bd1 [0,0,1,-75,-14594] 1 [370:2271:8]
72675be (1 curve)	0	3- 5+ 17- 19-	0 3- 5+  4  4  2 17- 19-
Curve Equation t 72675be1 [0,0,1,-6330,-193959] 1
72675bf (4 curves)	0	3- 5+ 17- 19-	-1 3- 5+  4  0  2 17- 19-
Curve Equation t 72675bf1 [1,-1,1,-1479380,-691437378] 2 72675bf2 [1,-1,1,-1885505,-281251128] 4 72675bf3 [1,-1,1,7198870,-2207138628] 2 72675bf4 [1,-1,1,-17467880,27891682872] 2
72675bg (1 curve)	0	3- 5+ 17- 19-	-1 3- 5+  4  6 -4 17- 19-
Curve Equation t 72675bg1 [1,-1,1,-770,8412] 1
72675bh (4 curves)	2	3- 5+ 17- 19-	-1 3- 5+ -4  0 -2 17- 19-
Curve Equation t Generators 72675bh1 [1,-1,1,-6755,3867122] 4 [-111:1855:1]&[54:-1940:1] 72675bh2 [1,-1,1,-412880,101337122] 4 [-690:7918:1]&[534:-6005:1] 72675bh3 [1,-1,1,-733505,-77571628] 2 [-776:5275:1]&[1009:13945:1] 72675bh4 [1,-1,1,-6590255,6513452372] 2 [1503:625:1]&[-5418:828905:8]
72675bi (1 curve)	0	3- 5- 17+ 19-	0 3- 5- -4  4 -2 17+ 19-
Curve Equation t 72675bi1 [0,0,1,-158250,-24244844] 1
72675bj (2 curves)	0	3- 5- 17+ 19-	1 3- 5-  4 -2  0 17+ 19-
Curve Equation t 72675bj1 [1,-1,0,19008,114291] 2 72675bj2 [1,-1,0,-76617,974916] 2
72675bk (1 curve)	0	3- 5- 17+ 19-	1 3- 5- -4  6  4 17+ 19-
Curve Equation t 72675bk1 [1,-1,0,-19242,1032291] 1
72675bl (1 curve)	0	3- 5- 17- 19+	2 3- 5- -2  2  0 17- 19+
Curve Equation t 72675bl1 [0,0,1,-75,-1769] 1
72675bm (2 curves)	0	3- 5- 17- 19+	-2 3- 5-  2 -2  6 17- 19+
Curve Equation t 72675bm1 [0,0,1,6675,18306] 1 72675bm2 [0,0,1,-685875,-218673594] 1
72675bn (2 curves)	1	3- 5- 17- 19-	-1 3- 5- -4 -2  0 17- 19-
Curve Equation t Generators 72675bn1 [1,-1,1,760,762] 2 [8:81:1] 72675bn2 [1,-1,1,-3065,8412] 2 [-40:276:1]
72675bo (1 curve)	1	3- 5- 17- 19-	-2 3- 5-  4  0  0 17- 19-
Curve Equation t Generators 72675bo1 [0,0,1,-4125,-2234844] 1 [194:2065:1]

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