Cremona's table of elliptic curves

53824 = 2⁶ · 29²

Class	r	Atkin-Lehner	Eigenvalues
53824a (1 curve)	1	2+ 29+	2+  1 -1  2  3  1  0  0
Curve Equation t Generators 53824a1 [0,1,0,-270241,-54186689] 1 [11060775:1006337236:1331]
53824b (2 curves)	1	2+ 29+	2+  1 -3 -4  3 -5  6 -4
Curve Equation t Generators 53824b1 [0,1,0,-14577,1050191] 1 [367:6728:1] 53824b2 [0,1,0,119983,-17115409] 1 [8517:-195112:27]
53824c (1 curve)	1	2+ 29+	2+ -1  0 -4  3  2 -2 -3
Curve Equation t Generators 53824c1 [0,-1,0,-193,-1087] 1 [17:16:1]
53824d (2 curves)	1	2+ 29+	2+ -1 -1 -2 -3  1 -8  0
Curve Equation t Generators 53824d1 [0,-1,0,267999,88607137] 1 [271:13456:1] 53824d2 [0,-1,0,-24491041,-46958951263] 1 [1639508913:68159255408:250047]
53824e (1 curve)	1	2+ 29+	2+ -1  3  2 -3  5  4  0
Curve Equation t Generators 53824e1 [0,-1,0,25791,-283199] 1 [5925:107648:27]
53824f (2 curves)	1	2+ 29+	2+  2  2  4 -6 -2 -2 -6
Curve Equation t Generators 53824f1 [0,-1,0,-31397,2142245] 2 [32135285:65486988:274625] 53824f2 [0,-1,0,-14577,4412945] 2 [-275988744720:12112903210429:5405443875]
53824g (1 curve)	1	2+ 29+	2+  2  2 -5  0 -2  7 -6
Curve Equation t Generators 53824g1 [0,-1,0,-2977,-61407] 1 [-21861:404:729]
53824h (2 curves)	1	2+ 29+	2+ -2  0 -1 -6  4  3 -4
Curve Equation t Generators 53824h1 [0,1,0,-193,159] 1 [-5:32:1] 53824h2 [0,1,0,-9473,-358049] 1 [-1527:64:27]
53824i (1 curve)	1	2+ 29+	2+  3  0  4 -1 -6 -2  1
Curve Equation t Generators 53824i1 [0,0,0,14145620,10173529904] 1 [78081327086519949981184497498990:10542110891833813854059179987336192:4492233963498514665411610821]
53824j (1 curve)	1	2+ 29+	2+ -3  3 -2 -1 -3  4 -8
Curve Equation t Generators 53824j1 [0,0,0,-63916,8975152] 1 [-232:3364:1]
53824k (1 curve)	1	2+ 29+	2+ -3 -3  4 -1  3 -2  4
Curve Equation t Generators 53824k1 [0,0,0,-16251484,-25216665104] 1 [36714:6990392:1]
53824l (1 curve)	0	2+ 29-	2+  1  0 -4 -3  2  2  3
Curve Equation t 53824l1 [0,1,0,-162593,-28135873] 1
53824m (2 curves)	0	2+ 29-	2+  1  1 -2 -5 -1  2  4
Curve Equation t 53824m1 [0,1,0,-3284385,-2322652993] 1 53824m2 [0,1,0,20129055,89575099007] 1
53824n (2 curves)	0	2+ 29-	2+ -1  1 -2  5 -1 -2 -4
Curve Equation t 53824n1 [0,-1,0,-3905,-93887] 1 53824n2 [0,-1,0,23935,3664513] 1
53824o (2 curves)	0	2+ 29-	2+  2  0 -1  6  4 -3  4
Curve Equation t 53824o1 [0,-1,0,-162593,5502881] 1 53824o2 [0,-1,0,-7967073,-8652787231] 1
53824p (1 curve)	0	2+ 29-	2+ -2  2 -5  0 -2 -7  6
Curve Equation t 53824p1 [0,1,0,-2503937,-1522693793] 1
53824q (1 curve)	0	2+ 29-	2+ -3  0  4  1 -6  2 -1
Curve Equation t 53824q1 [0,0,0,16820,417136] 1
53824r (4 curves)	0	2- 29+	2-  0  2  0  0 -6 -2  0
Curve Equation t 53824r1 [0,0,0,841,0] 2 53824r2 [0,0,0,-3364,0] 4 53824r3 [0,0,0,-37004,2731568] 2 53824r4 [0,0,0,-37004,-2731568] 2
53824s (1 curve)	0	2- 29+	2-  1  0  4 -3  2 -2  3
Curve Equation t 53824s1 [0,1,0,-193,1087] 1
53824t (1 curve)	0	2- 29+	2-  1  1  0 -5 -1  6  4
Curve Equation t 53824t1 [0,1,0,-280,-50678] 1
53824u (2 curves)	0	2- 29+	2-  1 -1  2  3  1 -8  0
Curve Equation t 53824u1 [0,1,0,267999,-88607137] 1 53824u2 [0,1,0,-24491041,46958951263] 1
53824v (1 curve)	0	2- 29+	2-  1  3 -2  3  5  4  0
Curve Equation t 53824v1 [0,1,0,25791,283199] 1
53824w (1 curve)	0	2- 29+	2- -1  1  0  5 -1  6 -4
Curve Equation t 53824w1 [0,-1,0,-280,50678] 1
53824x (1 curve)	2	2- 29+	2- -1 -1 -2 -3  1  0  0
Curve Equation t Generators 53824x1 [0,-1,0,-270241,54186689] 1 [8535:13456:27]&[677:13456:1]
53824y (2 curves)	0	2- 29+	2- -1 -3  4 -3 -5  6  4
Curve Equation t 53824y1 [0,-1,0,-14577,-1050191] 1 53824y2 [0,-1,0,119983,17115409] 1
53824z (2 curves)	0	2- 29+	2-  2  0  1  6  4  3  4
Curve Equation t 53824z1 [0,-1,0,-193,-159] 1 53824z2 [0,-1,0,-9473,358049] 1
53824ba (1 curve)	0	2- 29+	2-  2  4  3  2 -4  3  8
Curve Equation t 53824ba1 [0,-1,0,-943041,-303554527] 1
53824bb (2 curves)	0	2- 29+	2- -2  2 -4  6 -2 -2  6
Curve Equation t 53824bb1 [0,1,0,-31397,-2142245] 2 53824bb2 [0,1,0,-14577,-4412945] 2
53824bc (1 curve)	0	2- 29+	2- -2  2  5  0 -2  7  6
Curve Equation t 53824bc1 [0,1,0,-2977,61407] 1
53824bd (1 curve)	0	2- 29+	2- -2  4 -3 -2 -4  3 -8
Curve Equation t 53824bd1 [0,1,0,-943041,303554527] 1
53824be (1 curve)	0	2- 29+	2-  3  3  2  1 -3  4  8
Curve Equation t 53824be1 [0,0,0,-63916,-8975152] 1
53824bf (1 curve)	0	2- 29+	2-  3 -3 -4  1  3 -2 -4
Curve Equation t 53824bf1 [0,0,0,-16251484,25216665104] 1
53824bg (1 curve)	0	2- 29+	2- -3  0 -4  1 -6 -2 -1
Curve Equation t 53824bg1 [0,0,0,14145620,-10173529904] 1
53824bh (2 curves)	1	2- 29-	2-  0 -2  0  0 -6  8  0
Curve Equation t Generators 53824bh1 [0,0,0,24389,0] 2 [32150682271843750:-597945138818453625:130031026717528] 53824bh2 [0,0,0,-97556,0] 2 [-35159428:-1105715500:389017]
53824bi (2 curves)	1	2- 29-	2-  0 -2  0  0 -6 -8  0
Curve Equation t Generators 53824bi1 [0,0,0,29,0] 2 [50:165:8] 53824bi2 [0,0,0,-116,0] 2 [-4:20:1]
53824bj (2 curves)	1	2- 29-	2-  1  1  2 -5 -1 -2  4
Curve Equation t Generators 53824bj1 [0,1,0,-3905,93887] 1 [47:128:1] 53824bj2 [0,1,0,23935,-3664513] 1 [96355:2719744:125]
53824bk (1 curve)	1	2- 29-	2- -1  0  4  3  2  2 -3
Curve Equation t Generators 53824bk1 [0,-1,0,-162593,28135873] 1 [-403:5296:1]
53824bl (2 curves)	1	2- 29-	2- -1  1  2  5 -1  2 -4
Curve Equation t Generators 53824bl1 [0,-1,0,-3284385,2322652993] 1 [1745799:21852544:1331] 53824bl2 [0,-1,0,20129055,-89575099007] 1 [230471715877063375:-46550809007467692032:5711341796875]
53824bm (1 curve)	1	2- 29-	2-  2  2  5  0 -2 -7 -6
Curve Equation t Generators 53824bm1 [0,-1,0,-2503937,1522693793] 1 [285190883:2049490560:357911]
53824bn (1 curve)	1	2- 29-	2-  2  4 -3  2 -4 -3  8
Curve Equation t Generators 53824bn1 [0,-1,0,-1121,12833] 1 [309:1000:27]
53824bo (2 curves)	1	2- 29-	2- -2  0  1 -6  4 -3 -4
Curve Equation t Generators 53824bo1 [0,1,0,-162593,-5502881] 1 [-63:2120:1] 53824bo2 [0,1,0,-7967073,8652787231] 1 [1121:33640:1]
53824bp (1 curve)	1	2- 29-	2- -2  4  3 -2 -4 -3 -8
Curve Equation t Generators 53824bp1 [0,1,0,-1121,-12833] 1 [-17:40:1]
53824bq (1 curve)	1	2- 29-	2-  3  0 -4 -1 -6  2  1
Curve Equation t Generators 53824bq1 [0,0,0,16820,-417136] 1 [560790:5745664:19683]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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