Cremona's table of elliptic curves

53424 = 2⁴ · 3² · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
53424a (4 curves)	0	2+ 3- 7+ 53+	2+ 3- -2 7+  4 -2  6 -4
Curve Equation t 53424a1 [0,0,0,-13026,571979] 2 53424a2 [0,0,0,-15231,365150] 4 53424a3 [0,0,0,51549,2702450] 2 53424a4 [0,0,0,-117291,-15209206] 2
53424b (1 curve)	0	2+ 3- 7+ 53+	2+ 3-  3 7+  3 -4 -5 -8
Curve Equation t 53424b1 [0,0,0,137229,1870738] 1
53424c (2 curves)	0	2+ 3- 7+ 53+	2+ 3-  4 7+ -4 -2 -6 -6
Curve Equation t 53424c1 [0,0,0,-138,-565] 2 53424c2 [0,0,0,177,-2770] 2
53424d (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  1 7+ -1  4 -4  5
Curve Equation t Generators 53424d1 [0,0,0,-12612,553772] 1 [361:6561:1]
53424e (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -1 7+  3 -6 -2  3
Curve Equation t Generators 53424e1 [0,0,0,-13548,-733556] 1 [1265:44793:1]
53424f (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  2 7+ -2  1 -3 -3
Curve Equation t Generators 53424f1 [0,0,0,141,2018] 1 [11:70:1]
53424g (4 curves)	1	2+ 3- 7+ 53-	2+ 3- -2 7+ -4 -2  2 -4
Curve Equation t Generators 53424g1 [0,0,0,-111,-12850] 2 [106:1080:1] 53424g2 [0,0,0,-8931,-321550] 4 [-53:54:1] 53424g3 [0,0,0,-16491,302906] 4 [199:2214:1] 53424g4 [0,0,0,-142491,-20702806] 2 [511:6318:1]
53424h (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  3 7+ -5 -4  0  3
Curve Equation t Generators 53424h1 [0,0,0,204,8332] 1 [-7:81:1]
53424i (2 curves)	1	2+ 3- 7- 53+	2+ 3-  0 7- -4  2  2 -2
Curve Equation t Generators 53424i1 [0,0,0,-615,-6554] 2 [11954:1306980:1] 53424i2 [0,0,0,-10155,-393878] 2 [117:140:1]
53424j (1 curve)	1	2+ 3- 7- 53+	2+ 3- -1 7- -5  0  7  4
Curve Equation t Generators 53424j1 [0,0,0,-84243,-9503566] 1 [439:6174:1]
53424k (2 curves)	1	2+ 3- 7- 53+	2+ 3-  2 7- -2 -6  4 -8
Curve Equation t Generators 53424k1 [0,0,0,-3639,-123370] 2 [82:360:1] 53424k2 [0,0,0,-65379,-6433198] 2 [-149:18:1]
53424l (4 curves)	1	2+ 3- 7- 53+	2+ 3-  2 7-  4 -6 -2  4
Curve Equation t Generators 53424l1 [0,0,0,49641,8751062] 2 [-31:2680:1] 53424l2 [0,0,0,-455979,101481770] 4 [-467:14580:1] 53424l3 [0,0,0,-2001459,-991172590] 2 [2077:61740:1] 53424l4 [0,0,0,-7000419,7128901442] 2 [1559:2090:1]
53424m (4 curves)	1	2+ 3- 7- 53+	2+ 3-  2 7- -4 -2 -2  0
Curve Equation t Generators 53424m1 [0,0,0,-7794,264843] 2 [4164:11655:64] 53424m2 [0,0,0,-7839,261630] 4 [-18:630:1] 53424m3 [0,0,0,981,817290] 2 [10:910:1] 53424m4 [0,0,0,-17379,-499662] 2 [-51:504:1]
53424n (1 curve)	1	2+ 3- 7- 53+	2+ 3- -3 7-  3  4  4 -3
Curve Equation t Generators 53424n1 [0,0,0,-14910268764,700772998802924] 1 [2749043:34451725707:1331]
53424o (1 curve)	1	2+ 3- 7- 53+	2+ 3- -3 7-  3 -4 -4 -3
Curve Equation t Generators 53424o1 [0,0,0,-444,-3796] 1 [25:27:1]
53424p (1 curve)	0	2+ 3- 7- 53-	2+ 3- -2 7-  2  5 -3  1
Curve Equation t 53424p1 [0,0,0,-22851,-1334286] 1
53424q (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7-  1  2  6 -3
Curve Equation t 53424q1 [0,0,0,-2196,-1125252] 1
53424r (2 curves)	1	2- 3+ 7- 53+	2- 3+  2 7-  0 -2 -6  0
Curve Equation t Generators 53424r1 [0,0,0,-31779,2291490] 2 [-153:1890:1] 53424r2 [0,0,0,-515619,142508322] 2 [1639:60830:1]
53424s (2 curves)	1	2- 3+ 7- 53+	2- 3+ -2 7-  4  4 -6 -4
Curve Equation t Generators 53424s1 [0,0,0,-3051,-62694] 2 [373:7120:1] 53424s2 [0,0,0,1269,-225990] 2 [61:280:1]
53424t (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7- -4  4  6 -4
Curve Equation t 53424t1 [0,0,0,-339,2322] 2 53424t2 [0,0,0,141,8370] 2
53424u (2 curves)	0	2- 3+ 7- 53-	2- 3+ -2 7-  0 -2  6  0
Curve Equation t 53424u1 [0,0,0,-3531,-84870] 2 53424u2 [0,0,0,-57291,-5278086] 2
53424v (1 curve)	1	2- 3- 7+ 53+	2- 3-  1 7+  1  0  0 -1
Curve Equation t Generators 53424v1 [0,0,0,7008,-66512] 1 [322:4239:8]
53424w (2 curves)	1	2- 3- 7+ 53+	2- 3- -2 7+  4  0  6  8
Curve Equation t Generators 53424w1 [0,0,0,-18651,1290634] 2 [-99:1472:1] 53424w2 [0,0,0,-323931,70955530] 2 [-403:11664:1]
53424x (2 curves)	1	2- 3- 7+ 53+	2- 3- -2 7+ -6  2 -4  0
Curve Equation t Generators 53424x1 [0,0,0,2949,62890] 2 [23:-378:1] 53424x2 [0,0,0,-17211,599146] 2 [-121:954:1]
53424y (1 curve)	1	2- 3- 7+ 53+	2- 3-  3 7+ -1 -4  3  8
Curve Equation t Generators 53424y1 [0,0,0,-106851,13993058] 1 [337:4032:1]
53424z (2 curves)	1	2- 3- 7+ 53+	2- 3-  4 7+  0 -4  2 -6
Curve Equation t Generators 53424z1 [0,0,0,-4264203,3525013690] 2 [13280145:-4327806208:125] 53424z2 [0,0,0,-68983563,220529027770] 2 [598705:-29664:125]
53424ba (1 curve)	0	2- 3- 7+ 53-	2- 3-  0 7+  0  1 -1  3
Curve Equation t 53424ba1 [0,0,0,528165,-1324717686] 1
53424bb (2 curves)	0	2- 3- 7+ 53-	2- 3-  0 7+  0 -2  2  0
Curve Equation t 53424bb1 [0,0,0,-180,891] 2 53424bb2 [0,0,0,-495,-3078] 2
53424bc (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+  3  0  0 -7
Curve Equation t 53424bc1 [0,0,0,-7752,-262708] 1
53424bd (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+  3 -6  3  2
Curve Equation t 53424bd1 [0,0,0,11733,-118438] 1
53424be (2 curves)	0	2- 3- 7+ 53-	2- 3-  2 7+  0 -4 -2  0
Curve Equation t 53424be1 [0,0,0,10221,-487982] 2 53424be2 [0,0,0,-66099,-4868750] 2
53424bf (1 curve)	0	2- 3- 7+ 53-	2- 3-  2 7+ -6  5  1  3
Curve Equation t 53424bf1 [0,0,0,-2019,140002] 1
53424bg (2 curves)	2	2- 3- 7+ 53-	2- 3- -3 7+  3  2 -6  1
Curve Equation t Generators 53424bg1 [0,0,0,-2064,37676] 1 [-50:126:1]&[-11:243:1] 53424bg2 [0,0,0,10896,83036] 1 [58:-954:1]&[34:702:1]
53424bh (1 curve)	0	2- 3- 7+ 53-	2- 3- -3 7+  3  4 -1  0
Curve Equation t 53424bh1 [0,0,0,104661,20795994] 1
53424bi (1 curve)	0	2- 3- 7+ 53-	2- 3- -3 7+  3 -6 -6  5
Curve Equation t 53424bi1 [0,0,0,-4464,-115344] 1
53424bj (1 curve)	0	2- 3- 7- 53+	2- 3- -1 7- -1  0  4 -5
Curve Equation t 53424bj1 [0,0,0,-661008,-211992356] 1
53424bk (1 curve)	0	2- 3- 7- 53+	2- 3- -1 7- -1  0  7  4
Curve Equation t 53424bk1 [0,0,0,390237,-157016414] 1
53424bl (1 curve)	2	2- 3- 7- 53+	2- 3- -1 7- -1 -4  0 -5
Curve Equation t Generators 53424bl1 [0,0,0,-2208,-85556] 1 [62:126:1]&[230:3402:1]
53424bm (2 curves)	2	2- 3- 7- 53+	2- 3- -4 7- -4  2 -6 -2
Curve Equation t Generators 53424bm1 [0,0,0,-9147,468970] 2 [-97:666:1]&[-51:896:1] 53424bm2 [0,0,0,-161787,25044010] 2 [-337:6426:1]&[-211:7056:1]
53424bn (1 curve)	1	2- 3- 7- 53-	2- 3-  0 7-  0  1  7  7
Curve Equation t Generators 53424bn1 [0,0,0,-5115,-143894] 1 [159:1750:1]
53424bo (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7- -4  6 -2  4
Curve Equation t Generators 53424bo1 [0,0,0,-2460,-26273] 2 [69:364:1] 53424bo2 [0,0,0,-17895,902914] 2 [-22:1134:1]
53424bp (1 curve)	1	2- 3- 7- 53-	2- 3-  1 7- -1  2 -1  2
Curve Equation t Generators 53424bp1 [0,0,0,-5363067,4780441258] 1 [1343:378:1]
53424bq (1 curve)	1	2- 3- 7- 53-	2- 3-  1 7-  3  4  3  0
Curve Equation t Generators 53424bq1 [0,0,0,-747,9882] 1 [-9:126:1]
53424br (1 curve)	1	2- 3- 7- 53-	2- 3-  1 7-  5  2  2 -1
Curve Equation t Generators 53424br1 [0,0,0,-192,4912] 1 [17:81:1]
53424bs (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7-  1  4  0 -7
Curve Equation t Generators 53424bs1 [0,0,0,-10128,467696] 1 [145:1431:1]
53424bt (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7-  5 -2 -6  5
Curve Equation t Generators 53424bt1 [0,0,0,72,-324] 1 [6:18:1]
53424bu (1 curve)	1	2- 3- 7- 53-	2- 3-  2 7-  2  1 -3 -1
Curve Equation t Generators 53424bu1 [0,0,0,-11619,20350818] 1 [1039:33614:1]
53424bv (2 curves)	1	2- 3- 7- 53-	2- 3-  2 7-  2 -6  4 -8
Curve Equation t Generators 53424bv1 [0,0,0,624460461,9228922519570] 2 [-4670190841:17398885050:389017] 53424bv2 [0,0,0,-4660362579,98065740857362] 2 [14972627367393447823:-353823721245863282035350:26811440657]
53424bw (2 curves)	1	2- 3- 7- 53-	2- 3-  2 7- -2  2 -8  0
Curve Equation t Generators 53424bw1 [0,0,0,141,-7310] 2 [23:90:1] 53424bw2 [0,0,0,-4899,-127262] 2 [191:2430:1]
53424bx (4 curves)	1	2- 3- 7- 53-	2- 3- -2 7-  0  2 -2 -4
Curve Equation t Generators 53424bx1 [0,0,0,-3531,79994] 2 [-59:288:1] 53424bx2 [0,0,0,-6411,-69190] 4 [-65:270:1] 53424bx3 [0,0,0,23829,-534886] 2 [47:830:1] 53424bx4 [0,0,0,-82731,-9151270] 2 [-163:56:1]
53424by (4 curves)	1	2- 3- 7- 53-	2- 3- -2 7- -4  2  2 -4
Curve Equation t Generators 53424by1 [0,0,0,-273531,-55039574] 2 [102595467:-4043100160:59319] 53424by2 [0,0,0,-319611,-35234390] 4 [20127:320320:27] 53424by3 [0,0,0,1080069,-260582870] 4 [797:33264:1] 53424by4 [0,0,0,-2456571,1457645866] 2 [3674985:28989818:3375]
53424bz (1 curve)	1	2- 3- 7- 53-	2- 3- -3 7- -3  4  4  7
Curve Equation t Generators 53424bz1 [0,0,0,2256,12976] 1 [137:1701:1]
53424ca (2 curves)	1	2- 3- 7- 53-	2- 3-  4 7-  0 -2 -6  0
Curve Equation t Generators 53424ca1 [0,0,0,-2470788,1494538155] 2 [985:4060:1] 53424ca2 [0,0,0,-39530223,95662562490] 2 [3330:30870:1]

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