Cremona's table of elliptic curves

74025 = 3² · 5² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
74025a (2 curves)	1	3+ 5+ 7+ 47+	0 3+ 5+ 7+  3 -5  6  5
Curve Equation t Generators 74025a1 [0,0,1,30,-1064] 1 [26:131:1] 74025a2 [0,0,1,-7020,-226429] 1 [326711:4768708:1331]
74025b (2 curves)	2	3+ 5+ 7+ 47-	0 3+ 5+ 7+ -3 -5 -6  5
Curve Equation t Generators 74025b1 [0,0,1,-780,8386] 1 [16:-2:1]&[98:203:8] 74025b2 [0,0,1,270,28721] 1 [-78:1265:8]&[49:399:1]
74025c (1 curve)	0	3+ 5+ 7- 47+	0 3+ 5+ 7-  1 -2 -3 -1
Curve Equation t 74025c1 [0,0,1,-307357200,2074021243031] 1
74025d (1 curve)	0	3+ 5+ 7- 47+	0 3+ 5+ 7-  1 -2 -3  7
Curve Equation t 74025d1 [0,0,1,-1350,-24469] 1
74025e (1 curve)	0	3+ 5+ 7- 47+	2 3+ 5+ 7-  3  1 -2 -5
Curve Equation t 74025e1 [0,0,1,-5364495,4782350261] 1
74025f (1 curve)	1	3+ 5+ 7- 47-	0 3+ 5+ 7- -1 -2  3 -1
Curve Equation t Generators 74025f1 [0,0,1,-34150800,-76815601594] 1 [420789454421285054978452770:131495800597906825046727685738:4293272962904673516049]
74025g (1 curve)	1	3+ 5+ 7- 47-	0 3+ 5+ 7- -1 -2  3  7
Curve Equation t Generators 74025g1 [0,0,1,-150,906] 1 [-10:37:1]
74025h (1 curve)	1	3+ 5+ 7- 47-	-2 3+ 5+ 7- -3  1  2 -5
Curve Equation t Generators 74025h1 [0,0,1,-596055,-177124084] 1 [24878454:8443031705:216]
74025i (1 curve)	0	3+ 5- 7+ 47+	2 3+ 5- 7+ -3 -1 -2 -5
Curve Equation t 74025i1 [0,0,1,-14901375,-22140510469] 1
74025j (1 curve)	1	3+ 5- 7+ 47-	-2 3+ 5- 7+  3 -1  2 -5
Curve Equation t Generators 74025j1 [0,0,1,-134112375,597793782656] 1 [180525:-26:27]
74025k (2 curves)	1	3+ 5- 7- 47+	0 3+ 5- 7- -3  5  6  5
Curve Equation t Generators 74025k1 [0,0,1,-19500,1048281] 3 [642:115:8] 74025k2 [0,0,1,6750,3590156] 1 [41334:744679:216]
74025l (2 curves)	0	3+ 5- 7- 47-	0 3+ 5- 7-  3  5 -6  5
Curve Equation t 74025l1 [0,0,1,750,-132969] 3 74025l2 [0,0,1,-175500,-28303594] 1
74025m (6 curves)	1	3- 5+ 7- 47+	-1 3- 5+ 7-  4  2  2 -4
Curve Equation t Generators 74025m1 [1,-1,1,-1171130,-484984128] 2 [314454100:-79699407117:4913] 74025m2 [1,-1,1,-1874255,166109622] 4 [108834:4816480:1331] 74025m3 [1,-1,1,7378870,1313497122] 2 [-1635490322581:163735686732030:11044871083] 74025m4 [1,-1,1,-22377380,40680284622] 4 [1764:80930:1] 74025m5 [1,-1,1,-14935505,68170570872] 2 [3465:239123:1] 74025m6 [1,-1,1,-357869255,2605851160872] 4 [7064:652455:1]
74025n (1 curve)	1	3- 5+ 7- 47+	2 3- 5+ 7- -1  2 -3  1
Curve Equation t Generators 74025n1 [0,0,1,-464925,-339869219] 1 [4152200:372479369:512]
74025o (1 curve)	1	3- 5+ 7- 47+	2 3- 5+ 7- -5  5  2 -1
Curve Equation t Generators 74025o1 [0,0,1,-75,661] 1 [-62:219:8]
74025p (1 curve)	1	3- 5+ 7- 47+	-2 3- 5+ 7-  6  3  0 -8
Curve Equation t Generators 74025p1 [0,0,1,-450075,-116402094] 1 [2505:120312:1]
74025q (1 curve)	2	3- 5+ 7- 47-	0 3- 5+ 7- -4  1 -2 -6
Curve Equation t Generators 74025q1 [0,0,1,-1200,23656] 1 [20:-88:1]&[-190:1571:8]
74025r (2 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7-  2 -4 -2  2
Curve Equation t 74025r1 [1,-1,0,-34028667,76454145616] 2 74025r2 [1,-1,0,-544541292,4891098711991] 2
74025s (2 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7- -2  0  6 -4
Curve Equation t 74025s1 [1,-1,0,1458,8991] 2 74025s2 [1,-1,0,-6417,79866] 2
74025t (2 curves)	2	3- 5+ 7- 47-	1 3- 5+ 7- -6 -2 -4  4
Curve Equation t Generators 74025t1 [1,-1,0,-1167,4616] 2 [-218:1109:8]&[-58:929:8] 74025t2 [1,-1,0,4458,32741] 2 [4:223:1]&[28:-437:1]
74025u (2 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7- -6  4 -2  6
Curve Equation t 74025u1 [1,-1,0,3933,67216] 2 74025u2 [1,-1,0,-19692,610591] 2
74025v (4 curves)	2	3- 5+ 7- 47-	-1 3- 5+ 7-  0 -2  2 -4
Curve Equation t Generators 74025v1 [1,-1,1,-13955,637922] 2 [-111:955:1]&[24:550:1] 74025v2 [1,-1,1,-15080,529922] 4 [-898:7595:8]&[-36:1030:1] 74025v3 [1,-1,1,37795,3385172] 2 [-72:571:1]&[54:2335:1] 74025v4 [1,-1,1,-85955,-9250828] 2 [-162:715:1]&[795:20203:1]
74025w (4 curves)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  0  6 -6 -4
Curve Equation t 74025w1 [1,-1,1,-18365635355,-948287765607478] 2 74025w2 [1,-1,1,-293023838480,-61052291671857478] 4 74025w3 [1,-1,1,-292197666605,-61413674121076228] 2 74025w4 [1,-1,1,-4688381260355,-3907350455121076228] 2
74025x (2 curves)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  2  4 -2  2
Curve Equation t 74025x1 [1,-1,1,60520,-28073478] 2 74025x2 [1,-1,1,-1097105,-414720228] 2
74025y (2 curves)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  2 -4  6 -2
Curve Equation t 74025y1 [1,-1,1,359095,-32658528] 2 74025y2 [1,-1,1,-1554530,-269948028] 2
74025z (1 curve)	0	3- 5+ 7- 47-	-1 3- 5+ 7- -3  6  6  8
Curve Equation t 74025z1 [1,-1,1,55345,4975472] 1
74025ba (4 curves)	2	3- 5+ 7- 47-	-1 3- 5+ 7- -4 -2 -2 -4
Curve Equation t Generators 74025ba1 [1,-1,1,-681980,216938022] 2 [-646:20010:1]&[-3458:167775:8] 74025ba2 [1,-1,1,-710105,198094272] 4 [-651:19925:1]&[-546:20835:1] 74025ba3 [1,-1,1,1219270,1085606772] 2 [-2058:220825:8]&[224:-37125:1] 74025ba4 [1,-1,1,-3089480,-1895755728] 2 [-1252:3555:1]&[-1000:14391:1]
74025bb (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7- -1 -2 -5 -7
Curve Equation t 74025bb1 [0,0,1,-233175,1005275281] 1
74025bc (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7-  2  1  4 -4
Curve Equation t 74025bc1 [0,0,1,34575,661531] 1
74025bd (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7- -3 -6  3  5
Curve Equation t 74025bd1 [0,0,1,-46875,-3907719] 1
74025be (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7- -4 -5  7 -7
Curve Equation t 74025be1 [0,0,1,-2746875,1765669531] 1
74025bf (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7- -4  5 -5 -1
Curve Equation t 74025bf1 [0,0,1,-211228905,1181620821496] 1
74025bg (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7-  5  2  7 -1
Curve Equation t 74025bg1 [0,0,1,3075,-39344] 1
74025bh (1 curve)	1	3- 5- 7+ 47+	2 3- 5- 7+ -4 -5  5 -1
Curve Equation t Generators 74025bh1 [0,0,1,-5280722625,147702602687031] 1 [107713554205158859493396:9753827593022290883886403:3246762365251921216]
74025bi (1 curve)	1	3- 5- 7+ 47+	-2 3- 5- 7+ -4  5 -7 -7
Curve Equation t Generators 74025bi1 [0,0,1,-109875,14125356] 1 [146:1093:1]
74025bj (2 curves)	0	3- 5- 7+ 47-	-1 3- 5- 7+  4 -2 -6  2
Curve Equation t 74025bj1 [1,-1,1,-161555,-24952678] 2 74025bj2 [1,-1,1,-155930,-26775178] 2
74025bk (1 curve)	0	3- 5- 7+ 47-	-2 3- 5- 7+  0  7  2 -6
Curve Equation t 74025bk1 [0,0,1,-2305875,-1554127344] 1
74025bl (1 curve)	2	3- 5- 7+ 47-	-2 3- 5- 7+ -5 -5 -2 -1
Curve Equation t Generators 74025bl1 [0,0,1,-1875,82656] 1 [-49:238:1]&[-25:337:1]
74025bm (2 curves)	0	3- 5- 7- 47+	1 3- 5- 7-  4  2  6  2
Curve Equation t 74025bm1 [1,-1,0,-6462,-198329] 2 74025bm2 [1,-1,0,-6237,-212954] 2
74025bn (1 curve)	0	3- 5- 7- 47+	2 3- 5- 7-  0 -7 -2 -6
Curve Equation t 74025bn1 [0,0,1,-92235,-12433019] 1

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