Cremona's table of elliptic curves

53010 = 2 · 3² · 5 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
53010a (2 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+  2  0 -6  8 19+
Curve Equation t Generators 53010a1 [1,-1,0,-83445,9298241] 2 [112:1105:1] 53010a2 [1,-1,0,-78315,10487375] 2 [131:1504:1]
53010b (2 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+ -2  0 -2 -4 19+
Curve Equation t Generators 53010b1 [1,-1,0,-49020,-3965104] 2 [371:5182:1] 53010b2 [1,-1,0,33060,-15965200] 2 [42055:-740781:125]
53010c (2 curves)	1	2+ 3+ 5+ 19+ 31+	2+ 3+ 5+  4  6 -2  2 19+
Curve Equation t Generators 53010c1 [1,-1,0,-201435,34849745] 2 [257:-51:1] 53010c2 [1,-1,0,-3223005,2227905251] 2 [193:40066:1]
53010d (1 curve)	1	2+ 3+ 5- 19- 31+	2+ 3+ 5- -1  1 -3  0 19-
Curve Equation t Generators 53010d1 [1,-1,0,-152289,-17906947] 1 [-281:1765:1]
53010e (2 curves)	1	2+ 3+ 5- 19- 31+	2+ 3+ 5-  2 -2  0  6 19-
Curve Equation t Generators 53010e1 [1,-1,0,-1809,36425] 2 [4:169:1] 53010e2 [1,-1,0,-30639,2071823] 2 [2649:148:27]
53010f (2 curves)	0	2+ 3+ 5- 19- 31-	2+ 3+ 5-  5 -3  5  0 19-
Curve Equation t 53010f1 [1,-1,0,-3054,65628] 3 53010f2 [1,-1,0,-13029,-508267] 1
53010g (4 curves)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+  0  0  6  2 19+
Curve Equation t 53010g1 [1,-1,0,14085,141925] 2 53010g2 [1,-1,0,-57915,1193125] 4 53010g3 [1,-1,0,-560115,-160213955] 2 53010g4 [1,-1,0,-707715,229013005] 2
53010h (2 curves)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+  2 -2  4  2 19+
Curve Equation t 53010h1 [1,-1,0,136620,-33281280] 2 53010h2 [1,-1,0,-1098000,-364406364] 2
53010i (4 curves)	0	2+ 3- 5+ 19+ 31+	2+ 3- 5+  4 -4 -6 -2 19+
Curve Equation t 53010i1 [1,-1,0,-22945815,42311871261] 2 53010i2 [1,-1,0,-22957335,42267268125] 4 53010i3 [1,-1,0,-15084135,71692565805] 2 53010i4 [1,-1,0,-31014855,9987231501] 2
53010j (4 curves)	1	2+ 3- 5+ 19+ 31-	2+ 3- 5+  0  0 -2 -6 19+
Curve Equation t Generators 53010j1 [1,-1,0,-600,5696] 2 [25:64:1] 53010j2 [1,-1,0,-1320,-10000] 4 [-20:100:1] 53010j3 [1,-1,0,4260,-75844] 2 [73:751:1] 53010j4 [1,-1,0,-18420,-957340] 2 [-77:43:1]
53010k (4 curves)	1	2+ 3- 5+ 19- 31+	2+ 3- 5+  0  0 -6  6 19-
Curve Equation t Generators 53010k1 [1,-1,0,-4141710,-4038230700] 2 [65181:110603:27] 53010k2 [1,-1,0,-70681230,-228688958124] 4 [-25243417186260:10799950120266:5168743489] 53010k3 [1,-1,0,-75113550,-198379867500] 2 [-46398228:-61803258:6859] 53010k4 [1,-1,0,-1130881230,-14637443078124] 2 [-343658469266232430482330795:171803381286296121106586022:17700440612056940505313]
53010l (1 curve)	1	2+ 3- 5+ 19- 31+	2+ 3- 5+ -3 -3 -3  0 19-
Curve Equation t Generators 53010l1 [1,-1,0,-1125,11421] 1 [-3:123:1]
53010m (1 curve)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+ -1  2 -5 -3 19-
Curve Equation t 53010m1 [1,-1,0,-11115,-452219] 1
53010n (3 curves)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+ -1 -3  5  0 19-
Curve Equation t 53010n1 [1,-1,0,-13223655,-17990316675] 1 53010n2 [1,-1,0,-145658655,670534874325] 3 53010n3 [1,-1,0,-11768617305,491404212044415] 3
53010o (1 curve)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+ -1 -5 -1  8 19-
Curve Equation t 53010o1 [1,-1,0,-77638725,244460584021] 1
53010p (2 curves)	0	2+ 3- 5+ 19- 31-	2+ 3- 5+  2  4  2  2 19-
Curve Equation t 53010p1 [1,-1,0,-58140,5342800] 2 53010p2 [1,-1,0,-112860,-6268784] 2
53010q (2 curves)	2	2+ 3- 5+ 19- 31-	2+ 3- 5+ -2  0 -6 -6 19-
Curve Equation t Generators 53010q1 [1,-1,0,-315,405] 2 [-9:54:1]&[-2:33:1] 53010q2 [1,-1,0,-3735,88641] 2 [30:39:1]&[-33:435:1]
53010r (2 curves)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  0 -4 -4  4 19+
Curve Equation t Generators 53010r1 [1,-1,0,13848516,136590460240] 2 [11:369782:1] 53010r2 [1,-1,0,-328151484,2178398860240] 2 [16011:1006207:1]
53010s (2 curves)	1	2+ 3- 5- 19+ 31+	2+ 3- 5- -2  0  2  2 19+
Curve Equation t Generators 53010s1 [1,-1,0,-7974,265140] 2 [79:312:1] 53010s2 [1,-1,0,-21654,-875772] 2 [-96:606:1]
53010t (1 curve)	1	2+ 3- 5- 19+ 31+	2+ 3- 5-  3  5 -1  4 19+
Curve Equation t Generators 53010t1 [1,-1,0,-15185709,-17113396955] 1 [-10227202348079261995838069:378256060883151326882271688:5898325443940591954739]
53010u (1 curve)	0	2+ 3- 5- 19+ 31-	2+ 3- 5-  5  1  3  4 19+
Curve Equation t 53010u1 [1,-1,0,-1937889,-359302577] 1
53010v (2 curves)	0	2+ 3- 5- 19- 31+	2+ 3- 5-  0  4 -6 -2 19-
Curve Equation t 53010v1 [1,-1,0,-97517034,-440663872460] 2 53010v2 [1,-1,0,-1640792034,-25580304967460] 2
53010w (1 curve)	0	2+ 3- 5- 19- 31+	2+ 3- 5-  1 -2  5 -3 19-
Curve Equation t 53010w1 [1,-1,0,-9,-297] 1
53010x (1 curve)	0	2+ 3- 5- 19- 31+	2+ 3- 5-  3  1 -3  4 19-
Curve Equation t 53010x1 [1,-1,0,-9864,-340160] 1
53010y (2 curves)	0	2+ 3- 5- 19- 31+	2+ 3- 5-  4 -2 -4  6 19-
Curve Equation t 53010y1 [1,-1,0,-114,-425980] 2 53010y2 [1,-1,0,-85614,-9471880] 2
53010z (2 curves)	0	2+ 3- 5- 19- 31+	2+ 3- 5- -4 -2  0  2 19-
Curve Equation t 53010z1 [1,-1,0,-583227549,5435664937605] 2 53010z2 [1,-1,0,-9338427549,347345486377605] 2
53010ba (2 curves)	2	2+ 3- 5- 19- 31+	2+ 3- 5- -4 -2  0 -6 19-
Curve Equation t Generators 53010ba1 [1,-1,0,2721,5453] 2 [7:154:1]&[17:229:1] 53010ba2 [1,-1,0,-10959,51965] 2 [-89:607:1]&[-86:637:1]
53010bb (2 curves)	0	2+ 3- 5- 19- 31+	2+ 3- 5- -4  6  4 -2 19-
Curve Equation t 53010bb1 [1,-1,0,-326664,101270848] 2 53010bb2 [1,-1,0,-5798664,5375184448] 2
53010bc (1 curve)	1	2+ 3- 5- 19- 31-	2+ 3- 5-  1 -1 -1  4 19-
Curve Equation t Generators 53010bc1 [1,-1,0,-5398299,4332726693] 1 [-2223:74214:1]
53010bd (2 curves)	1	2+ 3- 5- 19- 31-	2+ 3- 5- -2  2 -4 -2 19-
Curve Equation t Generators 53010bd1 [1,-1,0,1791,-37827] 2 [34:231:1] 53010bd2 [1,-1,0,-11889,-374355] 2 [-74:347:1]
53010be (1 curve)	1	2- 3+ 5+ 19- 31+	2- 3+ 5+ -1 -1 -3  0 19-
Curve Equation t Generators 53010be1 [1,-1,1,-1370603,484858171] 1 [331:8042:1]
53010bf (2 curves)	1	2- 3+ 5+ 19- 31+	2- 3+ 5+  2  2  0 -6 19-
Curve Equation t Generators 53010bf1 [1,-1,1,-16283,-967193] 2 [2366471120:31114389697:8998912] 53010bf2 [1,-1,1,-275753,-55663469] 2 [539336:14408545:512]
53010bg (2 curves)	0	2- 3+ 5+ 19- 31-	2- 3+ 5+  5  3  5  0 19-
Curve Equation t 53010bg1 [1,-1,1,-1448,19307] 3 53010bg2 [1,-1,1,-27488,-1744469] 1
53010bh (2 curves)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  2  0 -6 -8 19+
Curve Equation t Generators 53010bh1 [1,-1,1,-9272,-341289] 2 [-57367091:27390339:1030301] 53010bh2 [1,-1,1,-8702,-385521] 2 [4534768778982:-9859053596633:40494950504]
53010bi (2 curves)	1	2- 3+ 5- 19+ 31+	2- 3+ 5- -2  0 -2  4 19+
Curve Equation t Generators 53010bi1 [1,-1,1,-5447,148671] 2 [11:294:1] 53010bi2 [1,-1,1,3673,590079] 2 [47:-954:1]
53010bj (2 curves)	1	2- 3+ 5- 19+ 31+	2- 3+ 5-  4 -6 -2 -2 19+
Curve Equation t Generators 53010bj1 [1,-1,1,-22382,-1283271] 2 [696124458:1584552111:3944312] 53010bj2 [1,-1,1,-358112,-82395639] 2 [11407314376690530:-1594831232853689277:587217337624]
53010bk (4 curves)	1	2- 3- 5+ 19+ 31+	2- 3- 5+  0  0 -2 -2 19+
Curve Equation t Generators 53010bk1 [1,-1,1,-9564908,8133701231] 4 [-1355:137077:1] 53010bk2 [1,-1,1,-56750828,-158111732113] 4 [-5047537:-64746897:1331] 53010bk3 [1,-1,1,29649172,-596885492113] 2 [3176355:234003139:343] 53010bk4 [1,-1,1,-898125548,-10359611937169] 2 [-7900202695:1987373081:456533]
53010bl (2 curves)	1	2- 3- 5+ 19+ 31+	2- 3- 5+  0  0  4  4 19+
Curve Equation t Generators 53010bl1 [1,-1,1,-518,6257] 2 [13:33:1] 53010bl2 [1,-1,1,-9068,334577] 2 [446:-205:8]
53010bm (1 curve)	1	2- 3- 5+ 19+ 31+	2- 3- 5+ -1  5  5  4 19+
Curve Equation t Generators 53010bm1 [1,-1,1,-35573,-2447859] 1 [-97:336:1]
53010bn (1 curve)	1	2- 3- 5+ 19+ 31+	2- 3- 5+ -5 -5 -1  4 19+
Curve Equation t Generators 53010bn1 [1,-1,1,-490970948,-4187155350553] 1 [-4387845:2194723:343]
53010bo (2 curves)	0	2- 3- 5+ 19+ 31-	2- 3- 5+ -4  6 -2  6 19+
Curve Equation t 53010bo1 [1,-1,1,-1373,-533419] 2 53010bo2 [1,-1,1,-107393,-13383043] 2
53010bp (1 curve)	1	2- 3- 5+ 19- 31-	2- 3- 5+  1  3  1  4 19-
Curve Equation t Generators 53010bp1 [1,-1,1,-18563,-949219] 1 [-86490:103171:1000]
53010bq (3 curves)	1	2- 3- 5+ 19- 31-	2- 3- 5+ -1  0  5  3 19-
Curve Equation t Generators 53010bq1 [1,-1,1,1957,52157] 1 [75390:751717:1000] 53010bq2 [1,-1,1,-71168,7348907] 3 [1206:761:8] 53010bq3 [1,-1,1,-5769743,5335808087] 3 [3360279:18844054:2197]
53010br (1 curve)	1	2- 3- 5+ 19- 31-	2- 3- 5+ -1  4 -3  7 19-
Curve Equation t Generators 53010br1 [1,-1,1,-1016393,394657481] 1 [655:2772:1]
53010bs (1 curve)	1	2- 3- 5- 19+ 31-	2- 3- 5- -1 -3  1  0 19+
Curve Equation t Generators 53010bs1 [1,-1,1,-437,749] 1 [-3:-44:1]
53010bt (1 curve)	1	2- 3- 5- 19- 31+	2- 3- 5- -3  4 -3  1 19-
Curve Equation t Generators 53010bt1 [1,-1,1,-293297,-249977631] 1 [887:13236:1]
53010bu (2 curves)	0	2- 3- 5- 19- 31-	2- 3- 5- -1  0  5  3 19-
Curve Equation t 53010bu1 [1,-1,1,50863,-4022089] 1 53010bu2 [1,-1,1,-511322,203917169] 3
53010bv (4 curves)	0	2- 3- 5- 19- 31-	2- 3- 5-  2  0  2 -6 19-
Curve Equation t 53010bv1 [1,-1,1,-330017,-72303631] 2 53010bv2 [1,-1,1,-5268497,-4653237679] 2 53010bv3 [1,-1,1,-2328152,1325474651] 6 53010bv4 [1,-1,1,-5830232,-3599850661] 6
53010bw (2 curves)	0	2- 3- 5- 19- 31-	2- 3- 5-  5  6 -1 -3 19-
Curve Equation t 53010bw1 [1,-1,1,-5837,-265579] 1 53010bw2 [1,-1,1,48028,4323719] 3

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