Cremona's table of elliptic curves

45675 = 3² · 5² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
45675a (2 curves)	1	3+ 5+ 7+ 29+	0 3+ 5+ 7+  3 -2  0 -4
Curve Equation t Generators 45675a1 [0,0,1,450,-645344] 1 [86:171:1] 45675a2 [0,0,1,-550800,-157353469] 1 [961:14171:1]
45675b (2 curves)	2	3+ 5+ 7+ 29-	0 3+ 5+ 7+ -3 -2  0 -4
Curve Equation t Generators 45675b1 [0,0,1,-61200,5827906] 1 [-2110:15221:8]&[-10:2537:1] 45675b2 [0,0,1,4050,17424281] 1 [85:-4288:1]&[195:5062:1]
45675c (1 curve)	0	3- 5+ 7+ 29+	0 3- 5+ 7+  2 -4 -3  8
Curve Equation t 45675c1 [0,0,1,-17100,861266] 1
45675d (1 curve)	0	3- 5+ 7+ 29+	0 3- 5+ 7+  2 -4 -6  5
Curve Equation t 45675d1 [0,0,1,450,-10969] 1
45675e (3 curves)	0	3- 5+ 7+ 29+	0 3- 5+ 7+ -6  4 -6 -7
Curve Equation t 45675e1 [0,0,1,100849200,93636189031] 1 45675e2 [0,0,1,-1600283550,25589857156906] 1 45675e3 [0,0,1,-131005780050,18250879584181531] 1
45675f (2 curves)	0	3- 5+ 7+ 29+	1 3- 5+ 7+  0  6 -2  0
Curve Equation t 45675f1 [1,-1,0,-117,-10584] 2 45675f2 [1,-1,0,-7992,-270459] 2
45675g (4 curves)	0	3- 5+ 7+ 29+	1 3- 5+ 7+  0 -6 -2  0
Curve Equation t 45675g1 [1,-1,0,-1324692,-377523909] 2 45675g2 [1,-1,0,-8705817,9609138216] 4 45675g3 [1,-1,0,2684808,32948528841] 2 45675g4 [1,-1,0,-138194442,625327550091] 2
45675h (2 curves)	0	3- 5+ 7+ 29+	-1 3- 5+ 7+  0  0 -4 -4
Curve Equation t 45675h1 [1,-1,1,-11095880,-14201593878] 2 45675h2 [1,-1,1,-7580255,-23363312628] 2
45675i (2 curves)	2	3- 5+ 7+ 29+	-1 3- 5+ 7+  0 -4 -8 -4
Curve Equation t Generators 45675i1 [1,-1,1,-2480,-42478] 2 [-258:575:8]&[-26:75:1] 45675i2 [1,-1,1,3145,-211228] 2 [48:196:1]&[54:310:1]
45675j (4 curves)	0	3- 5+ 7+ 29+	-1 3- 5+ 7+  4  2  2  4
Curve Equation t 45675j1 [1,-1,1,6520,-312478] 2 45675j2 [1,-1,1,-48605,-3289228] 4 45675j3 [1,-1,1,-245480,43960772] 2 45675j4 [1,-1,1,-733730,-241712728] 2
45675k (6 curves)	0	3- 5+ 7+ 29+	-1 3- 5+ 7+ -4  2  2 -4
Curve Equation t 45675k1 [1,-1,1,-176405,-30489028] 2 45675k2 [1,-1,1,-2877530,-1878058528] 4 45675k3 [1,-1,1,-2932655,-1802316778] 4 45675k4 [1,-1,1,-46040405,-120230661778] 2 45675k5 [1,-1,1,2808220,-8002461778] 2 45675k6 [1,-1,1,-9555530,9244638722] 2
45675l (1 curve)	0	3- 5+ 7+ 29+	-1 3- 5+ 7+  5  5 -4 -4
Curve Equation t 45675l1 [1,-1,1,-5,6122] 1
45675m (1 curve)	0	3- 5+ 7+ 29+	2 3- 5+ 7+ -2  2  5  7
Curve Equation t 45675m1 [0,0,1,-2595,-55629] 1
45675n (1 curve)	0	3- 5+ 7+ 29+	2 3- 5+ 7+ -6  6 -1 -7
Curve Equation t 45675n1 [0,0,1,9375,1163281] 1
45675o (2 curves)	1	3- 5+ 7+ 29-	0 3- 5+ 7+  0  4 -3 -1
Curve Equation t Generators 45675o1 [0,0,1,330,-959] 1 [49:364:1] 45675o2 [0,0,1,-3720,103936] 1 [-14:391:1]
45675p (2 curves)	1	3- 5+ 7+ 29-	1 3- 5+ 7+  4  2  4  2
Curve Equation t Generators 45675p1 [1,-1,0,-2142,-39609] 2 [3862502:106125049:4913] 45675p2 [1,-1,0,-34767,-2486484] 2 [3144:174378:1]
45675q (2 curves)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+  0  2  0  6
Curve Equation t Generators 45675q1 [1,-1,1,-1355,65522] 2 [-26:300:1] 45675q2 [1,-1,1,-33980,2414522] 2 [-116:2245:1]
45675r (1 curve)	1	3- 5+ 7+ 29-	2 3- 5+ 7+  3 -4  6  0
Curve Equation t Generators 45675r1 [0,0,1,-8175,-1941219] 1 [6402:179595:8]
45675s (2 curves)	1	3- 5+ 7+ 29-	-2 3- 5+ 7+ -2 -4 -2  5
Curve Equation t Generators 45675s1 [0,0,1,4425,3906] 1 [0:62:1] 45675s2 [0,0,1,-483825,129547656] 1 [675:10512:1]
45675t (4 curves)	1	3- 5+ 7- 29+	1 3- 5+ 7-  0  2 -2  8
Curve Equation t Generators 45675t1 [1,-1,0,-299817,-63112784] 2 [-254028012:129448606:804357] 45675t2 [1,-1,0,-300942,-62614409] 4 [26062:1451719:8] 45675t3 [1,-1,0,-25317,-173140034] 2 [700314:39371693:216] 45675t4 [1,-1,0,-594567,79793716] 2 [-16:9458:1]
45675u (4 curves)	1	3- 5+ 7- 29+	-1 3- 5+ 7-  4 -2  6 -4
Curve Equation t Generators 45675u1 [1,-1,1,-4730,76272] 2 [-66:345:1] 45675u2 [1,-1,1,-32855,-2229978] 4 [-111:255:1] 45675u3 [1,-1,1,6520,-7269978] 2 [2262:31965:8] 45675u4 [1,-1,1,-522230,-145127478] 2 [10774:313893:8]
45675v (8 curves)	1	3- 5+ 7- 29+	-1 3- 5+ 7- -4  2  2 -4
Curve Equation t Generators 45675v1 [1,-1,1,-1784255,-916900378] 2 [1938594:-142190840:343] 45675v2 [1,-1,1,-1785380,-915685378] 4 [1800:40333:1] 45675v3 [1,-1,1,-1100255,-1626845128] 2 [2324025:54883823:1331] 45675v4 [1,-1,1,-2488505,-126779128] 4 [-926:37650:1] 45675v5 [1,-1,1,9914620,-1019804128] 2 [1909:156720:1] 45675v6 [1,-1,1,-26141630,51247808372] 4 [-3276:320575:1] 45675v7 [1,-1,1,-12928505,103016832122] 2 [-2841:343195:1] 45675v8 [1,-1,1,-417804755,3287168547122] 2 [11809:-7305:1]
45675w (1 curve)	1	3- 5+ 7- 29+	2 3- 5+ 7-  1  4 -6 -4
Curve Equation t Generators 45675w1 [0,0,1,-44580675,-223675562219] 1 [6896690:6403286921:8]
45675x (1 curve)	0	3- 5+ 7- 29-	0 3- 5+ 7-  0 -2  7 -5
Curve Equation t 45675x1 [0,0,1,-41250,3266406] 1
45675y (1 curve)	2	3- 5+ 7- 29-	0 3- 5+ 7- -4 -2 -3 -7
Curve Equation t Generators 45675y1 [0,0,1,-25590,1601316] 1 [-184:283:1]&[194:1984:1]
45675z (1 curve)	0	3- 5+ 7- 29-	-1 3- 5+ 7- -6 -2  1  7
Curve Equation t 45675z1 [1,-1,1,-6680,457822] 1
45675ba (2 curves)	0	3- 5+ 7- 29-	2 3- 5+ 7- -2  4 -3 -5
Curve Equation t 45675ba1 [0,0,1,-16635,-1377009] 1 45675ba2 [0,0,1,-283125,157025781] 1
45675bb (1 curve)	0	3- 5+ 7- 29-	2 3- 5+ 7- -5  4  6 -8
Curve Equation t 45675bb1 [0,0,1,-37425,2849031] 1
45675bc (1 curve)	2	3- 5- 7+ 29-	0 3- 5- 7+  0  2 -7 -5
Curve Equation t Generators 45675bc1 [0,0,1,-1650,26131] 1 [-35:202:1]&[25:22:1]
45675bd (1 curve)	2	3- 5- 7+ 29-	0 3- 5- 7+ -1 -6  2 -6
Curve Equation t Generators 45675bd1 [0,0,1,60,931] 1 [-62:3:8]&[-5:22:1]
45675be (1 curve)	0	3- 5- 7+ 29-	0 3- 5- 7+ -4  2  3 -7
Curve Equation t 45675be1 [0,0,1,-639750,200164531] 1
45675bf (2 curves)	0	3- 5- 7+ 29-	1 3- 5- 7+  2 -4  6  6
Curve Equation t 45675bf1 [1,-1,0,-1197,-14864] 2 45675bf2 [1,-1,0,828,-61439] 2
45675bg (1 curve)	0	3- 5- 7+ 29-	1 3- 5- 7+ -6  2 -1  7
Curve Equation t 45675bg1 [1,-1,0,-267,3716] 1
45675bh (2 curves)	2	3- 5- 7+ 29-	-2 3- 5- 7+ -2 -4  3 -5
Curve Equation t Generators 45675bh1 [0,0,1,-11325,1256206] 1 [-958:7565:8]&[-119:958:1] 45675bh2 [0,0,1,-415875,-172126094] 1 [796:1093:1]&[1711:64228:1]
45675bi (1 curve)	0	3- 5- 7- 29+	0 3- 5- 7-  2  4  3  8
Curve Equation t 45675bi1 [0,0,1,-427500,107658281] 1
45675bj (1 curve)	0	3- 5- 7- 29+	-2 3- 5- 7- -2 -2 -5  7
Curve Equation t 45675bj1 [0,0,1,-64875,-6953594] 1
45675bk (1 curve)	2	3- 5- 7- 29+	-2 3- 5- 7- -6 -6  1 -7
Curve Equation t Generators 45675bk1 [0,0,1,375,9306] 1 [-1:94:1]&[-110:311:8]
45675bl (2 curves)	1	3- 5- 7- 29-	0 3- 5- 7-  0 -4  3 -1
Curve Equation t Generators 45675bl1 [0,0,1,8250,-119844] 1 [178:2183:8] 45675bl2 [0,0,1,-93000,12992031] 3 [-331:2740:1]
45675bm (1 curve)	1	3- 5- 7- 29-	0 3- 5- 7- -1  6 -2 -6
Curve Equation t Generators 45675bm1 [0,0,1,1500,116406] 1 [50:562:1]
45675bn (2 curves)	1	3- 5- 7- 29-	-1 3- 5- 7-  2  4 -6  6
Curve Equation t Generators 45675bn1 [1,-1,1,-29930,-1887928] 2 [-898:2195:8] 45675bn2 [1,-1,1,20695,-7659178] 2 [315:-5639:1]

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