Cremona's table of elliptic curves

50562 = 2 · 3² · 53²

Class	r	Atkin-Lehner	Eigenvalues
50562a (1 curve)	1	2+ 3+ 53+	2+ 3+  2 -3  1 -2 -2  7
Curve Equation t Generators 50562a1 [1,-1,0,-30021,3668949] 1 [-210:16959:8]
50562b (1 curve)	1	2+ 3+ 53+	2+ 3+ -2 -2  1  5  0 -2
Curve Equation t Generators 50562b1 [1,-1,0,-25150908,46674291024] 1 [41160:2921564:27]
50562c (2 curves)	1	2+ 3+ 53+	2+ 3+ -2  4 -2  2  0  4
Curve Equation t Generators 50562c1 [1,-1,0,3687,534105] 2 [6168:95231:27] 50562c2 [1,-1,0,-80583,8371215] 2 [-17073:1209384:343]
50562d (1 curve)	0	2+ 3+ 53-	2+ 3+ -2 -2 -1  5  0  2
Curve Equation t 50562d1 [1,-1,0,-80583,-8443459] 1
50562e (2 curves)	0	2+ 3- 53+	2+ 3-  0  2  3  5 -6 -2
Curve Equation t 50562e1 [1,-1,0,-39402,2180020] 1 50562e2 [1,-1,0,-2937177,1938241453] 1
50562f (2 curves)	0	2+ 3- 53+	2+ 3-  0  5  3 -4 -6 -5
Curve Equation t 50562f1 [1,-1,0,-1530027,-728356451] 1 50562f2 [1,-1,0,1124478,-2888592620] 1
50562g (1 curve)	2	2+ 3- 53+	2+ 3-  1 -2 -5 -4 -3  4
Curve Equation t Generators 50562g1 [1,-1,0,-695754,223689492] 1 [93:12594:1]&[32628:56523:64]
50562h (1 curve)	0	2+ 3- 53+	2+ 3- -1  0  1 -2  7 -2
Curve Equation t 50562h1 [1,-1,0,163800,47278674] 1
50562i (1 curve)	0	2+ 3- 53+	2+ 3-  2  3  4 -2  4  7
Curve Equation t 50562i1 [1,-1,0,189,5589] 1
50562j (1 curve)	2	2+ 3- 53+	2+ 3- -2 -2  1 -1  0 -8
Curve Equation t Generators 50562j1 [1,-1,0,-288,1296] 1 [-12:60:1]&[0:36:1]
50562k (1 curve)	0	2+ 3- 53+	2+ 3-  4  1  1 -4 -6  1
Curve Equation t 50562k1 [1,-1,0,3576735,-487186947] 1
50562l (1 curve)	0	2+ 3- 53+	2+ 3- -4  0  4  1 -5  7
Curve Equation t 50562l1 [1,-1,0,-190134,-32356476] 1
50562m (1 curve)	1	2+ 3- 53-	2+ 3-  0 -1  3  6  0 -3
Curve Equation t Generators 50562m1 [1,-1,0,-1242,43060] 1 [-13:245:1]
50562n (2 curves)	1	2+ 3- 53-	2+ 3-  0  2  0 -4  3 -4
Curve Equation t Generators 50562n1 [1,-1,0,-139572,35295480] 1 [3100113157:59217195548:5929741] 50562n2 [1,-1,0,-13538502,19177006878] 3 [820856123853773991491026653983977:144087439427638069955771398158218:383098720060647056158229491219]
50562o (1 curve)	1	2+ 3- 53-	2+ 3-  0  2  5  1 -2  6
Curve Equation t Generators 50562o1 [1,-1,0,-13167,-567023] 1 [-66:139:1]
50562p (1 curve)	1	2+ 3- 53-	2+ 3-  0 -5 -2 -6 -2 -1
Curve Equation t Generators 50562p1 [1,-1,0,-100631547,414904429669] 1 [1910:478277:1]
50562q (1 curve)	1	2+ 3- 53-	2+ 3- -1 -4 -1 -4 -3  8
Curve Equation t Generators 50562q1 [1,-1,0,-8178930,28478544084] 1 [3249:188622:1]
50562r (2 curves)	1	2+ 3- 53-	2+ 3-  2  2  2 -1  3 -1
Curve Equation t Generators 50562r1 [1,-1,0,189,-135] 1 [40:245:1] 50562r2 [1,-1,0,-21276,-1189296] 1 [808808:18883356:1331]
50562s (2 curves)	1	2+ 3- 53-	2+ 3- -3  2 -3 -6  3 -6
Curve Equation t Generators 50562s1 [1,-1,0,-4159251,3281260711] 1 [40035:501052:27] 50562s2 [1,-1,0,29338074,-82352640812] 1 [1282112291967:-162808597213834:89314623]
50562t (1 curve)	1	2+ 3- 53-	2+ 3- -4 -1  5  2  0 -1
Curve Equation t Generators 50562t1 [1,-1,0,-18414,971514] 1 [93:192:1]
50562u (1 curve)	0	2- 3+ 53+	2- 3+  2 -2 -1  5  0 -2
Curve Equation t 50562u1 [1,-1,1,-226358174,-1259979499475] 1
50562v (2 curves)	0	2- 3+ 53+	2- 3+  2  4  2  2  0  4
Curve Equation t 50562v1 [1,-1,1,33181,-14454017] 2 50562v2 [1,-1,1,-725249,-225297557] 2
50562w (1 curve)	0	2- 3+ 53+	2- 3+ -2 -3 -1 -2  2  7
Curve Equation t 50562w1 [1,-1,1,-270191,-98791433] 1
50562x (1 curve)	1	2- 3+ 53-	2- 3+  2 -2  1  5  0  2
Curve Equation t Generators 50562x1 [1,-1,1,-8954,315705] 1 [305:4935:1]
50562y (1 curve)	1	2- 3- 53+	2- 3-  0  1 -5  0 -2  1
Curve Equation t Generators 50562y1 [1,-1,1,50035,30725939] 1 [124446:15460307:8]
50562z (2 curves)	1	2- 3- 53+	2- 3-  0  2  0 -4  3  4
Curve Equation t Generators 50562z1 [1,-1,1,-50,249] 1 [3:9:1] 50562z2 [1,-1,1,-4820,129993] 1 [20616:-10179:512]
50562ba (1 curve)	1	2- 3- 53+	2- 3-  0  2  5  1 -2 -6
Curve Equation t Generators 50562ba1 [1,-1,1,-36986630,-84897507031] 1 [32774437457286:11084118323293513:284890312]
50562bb (2 curves)	1	2- 3- 53+	2- 3-  0 -4  0  5  3  1
Curve Equation t Generators 50562bb1 [1,-1,1,-7155050,9357252009] 1 [-3087:46487:1] 50562bb2 [1,-1,1,-621988970,5970812828073] 1 [-22167:2988623:1]
50562bc (1 curve)	1	2- 3- 53+	2- 3-  0 -5 -2 -6 -2  1
Curve Equation t Generators 50562bc1 [1,-1,1,-35825,2795681] 1 [87:-620:1]
50562bd (2 curves)	1	2- 3- 53+	2- 3-  3  2  3 -4 -3  4
Curve Equation t Generators 50562bd1 [1,-1,1,24754,-3695547] 1 [587:14295:1] 50562bd2 [1,-1,1,-228056,113608293] 1 [626606900:14398138053:1000000]
50562be (1 curve)	1	2- 3- 53+	2- 3- -3 -4  5 -2 -5 -6
Curve Equation t Generators 50562be1 [1,-1,1,-303899,-201657013] 1 [835:10818:1]
50562bf (1 curve)	0	2- 3- 53-	2- 3-  0 -1  3  6  0  3
Curve Equation t 50562bf1 [1,-1,1,-3489305,6365284985] 1
50562bg (2 curves)	0	2- 3- 53-	2- 3-  0  2  3  5 -6  2
Curve Equation t 50562bg1 [1,-1,1,-110680745,323115990185] 1 50562bg2 [1,-1,1,-8250530720,288452315901251] 3
50562bh (1 curve)	2	2- 3- 53-	2- 3-  1 -4 -1 -4 -3 -8
Curve Equation t Generators 50562bh1 [1,-1,1,-2912,192003] 1 [-67:321:1]&[-13:483:1]
50562bi (1 curve)	0	2- 3- 53-	2- 3-  2 -2  1 -1  0  8
Curve Equation t 50562bi1 [1,-1,1,-809519,182423175] 1
50562bj (2 curves)	0	2- 3- 53-	2- 3- -2  2  2 -1  3  1
Curve Equation t 50562bj1 [1,-1,1,530374,-13201203] 1 50562bj2 [1,-1,1,-59764811,-177835760805] 1
50562bk (1 curve)	0	2- 3- 53-	2- 3- -2  3  4 -2  4 -7
Curve Equation t 50562bk1 [1,-1,1,530374,838970745] 1
50562bl (2 curves)	0	2- 3- 53-	2- 3-  3  2 -3 -6  3  6
Curve Equation t 50562bl1 [1,-1,1,-1481,22403] 1 50562bl2 [1,-1,1,10444,-555721] 1
50562bm (1 curve)	0	2- 3- 53-	2- 3-  4 -1  5  2  0  1
Curve Equation t 50562bm1 [1,-1,1,-51725453,143963661219] 1

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