Cremona's table of elliptic curves

61504 = 2⁶ · 31²

Class	r	Atkin-Lehner	Eigenvalues
61504a (1 curve)	1	2+ 31+	2+  1 -1  1  3  3  7 -3
Curve Equation t Generators 61504a1 [0,1,0,-39721,1081303] 1 [243:2416:1]
61504b (1 curve)	1	2+ 31+	2+  1  3  5 -1 -1 -5  5
Curve Equation t Generators 61504b1 [0,1,0,-278049,55181759] 1 [-2305:970688:125]
61504c (1 curve)	1	2+ 31+	2+  1 -3 -1 -1 -7 -5 -7
Curve Equation t Generators 61504c1 [0,1,0,-16657,-833009] 1 [-75:4:1]
61504d (1 curve)	1	2+ 31+	2+ -1  1 -3  1  5  3 -1
Curve Equation t Generators 61504d1 [0,-1,0,-754705,-252040687] 1 [3223:175456:1]
61504e (1 curve)	1	2+ 31+	2+ -1 -1 -1 -3  3  7  3
Curve Equation t Generators 61504e1 [0,-1,0,-39721,-1081303] 1 [641:15376:1]
61504f (1 curve)	1	2+ 31+	2+ -1 -1  3  5 -1  3 -1
Curve Equation t Generators 61504f1 [0,-1,0,-1281,-12671] 1 [-23:64:1]
61504g (2 curves)	1	2+ 31+	2+ -1  3 -1 -3 -5  3  7
Curve Equation t Generators 61504g1 [0,-1,0,-278049,33476257] 1 [-5757:246016:27] 61504g2 [0,-1,0,-9811169,-11823818399] 1 [-48525:23552:27]
61504h (2 curves)	1	2+ 31+	2+ -3 -1 -3  3 -5  3 -7
Curve Equation t Generators 61504h1 [0,0,0,-4409068,2053910704] 1 [422:16384:1] 61504h2 [0,0,0,-4694704108,-123811347857744] 1 [-539850772784497802:-5062247700736:13646778755273]
61504i (1 curve)	1	2+ 31+	2+ -3 -3  3 -5  1  3  5
Curve Equation t Generators 61504i1 [0,0,0,-119164,14776336] 1 [0:3844:1]
61504j (1 curve)	0	2+ 31-	2+  0 -1  3  6 -4  0  5
Curve Equation t 61504j1 [0,0,0,-65348,6434856] 1
61504k (4 curves)	0	2+ 31-	2+  0  2  0  0  2  6 -4
Curve Equation t 61504k1 [0,0,0,-42284,-16682960] 2 61504k2 [0,0,0,-1272364,-550537680] 4 61504k3 [0,0,0,-1887404,36702512] 2 61504k4 [0,0,0,-20338604,-35304479952] 2
61504l (1 curve)	0	2+ 31-	2+  0  3 -3  2 -4  0 -1
Curve Equation t 61504l1 [0,0,0,3844,238328] 1
61504m (1 curve)	2	2+ 31-	2+  1  1 -3 -1 -5 -3 -1
Curve Equation t Generators 61504m1 [0,1,0,-785,8207] 1 [-13:128:1]&[11:32:1]
61504n (1 curve)	2	2+ 31-	2+  1 -1 -1  3 -3 -7  3
Curve Equation t Generators 61504n1 [0,1,0,-41,23] 1 [-7:4:1]&[-1:8:1]
61504o (1 curve)	0	2+ 31-	2+  1 -1  3 -5  1 -3 -1
Curve Equation t 61504o1 [0,1,0,-1231361,389794271] 1
61504p (2 curves)	0	2+ 31-	2+  1  3 -1  3  5 -3  7
Curve Equation t 61504p1 [0,1,0,-289,-1217] 1 61504p2 [0,1,0,-10209,393599] 1
61504q (1 curve)	2	2+ 31-	2+ -1 -1  1 -3 -3 -7 -3
Curve Equation t Generators 61504q1 [0,-1,0,-41,-23] 1 [-3:8:1]&[-1:4:1]
61504r (1 curve)	0	2+ 31-	2+ -1  3  5  1  1  5  5
Curve Equation t 61504r1 [0,-1,0,-289,-1759] 1
61504s (1 curve)	0	2+ 31-	2+ -1 -3 -1  1  7  5 -7
Curve Equation t 61504s1 [0,-1,0,-16007697,24656095249] 1
61504t (1 curve)	0	2+ 31-	2+  2 -1 -1 -4  2 -2  5
Curve Equation t 61504t1 [0,-1,0,-41,-271] 1
61504u (2 curves)	0	2+ 31-	2+  2 -2 -4  6 -2  4  4
Curve Equation t 61504u1 [0,-1,0,-278049,-84734431] 2 61504u2 [0,-1,0,-5044609,-4358432127] 2
61504v (1 curve)	0	2+ 31-	2+  2  3  1 -4 -2 -6 -1
Curve Equation t 61504v1 [0,-1,0,-2769,57017] 1
61504w (1 curve)	0	2+ 31-	2+ -2 -1 -1  4 -2  2  5
Curve Equation t 61504w1 [0,1,0,-39721,8469471] 1
61504x (1 curve)	0	2+ 31-	2+ -2 -1 -3 -2 -2  6 -1
Curve Equation t 61504x1 [0,1,0,-1281,-256409] 1
61504y (2 curves)	2	2+ 31-	2+ -2 -2  0  2  4 -6 -4
Curve Equation t Generators 61504y1 [0,1,0,29471,627711] 2 [10:961:1]&[861:25788:1] 61504y2 [0,1,0,-124289,5025247] 2 [-83:3844:1]&[379:3536:1]
61504z (2 curves)	2	2+ 31-	2+ -2 -2 -4 -6  2 -4  4
Curve Equation t Generators 61504z1 [0,1,0,-289,2751] 2 [-5:64:1]&[-3:60:1] 61504z2 [0,1,0,-5249,144607] 2 [-83:124:1]&[-21:496:1]
61504ba (1 curve)	0	2+ 31-	2+ -2  3  1  4  2  6 -1
Curve Equation t 61504ba1 [0,1,0,-2661329,-1671981257] 1
61504bb (2 curves)	0	2+ 31-	2+ -2  3 -1 -6  2 -6  1
Curve Equation t 61504bb1 [0,1,0,-8969,-417857] 1 61504bb2 [0,1,0,67911,4056559] 1
61504bc (2 curves)	0	2+ 31-	2+  3 -1 -3 -3  5 -3 -7
Curve Equation t 61504bc1 [0,0,0,-4588,-68944] 1 61504bc2 [0,0,0,-4885228,4155998384] 1
61504bd (1 curve)	0	2+ 31-	2+  3 -3  3  5 -1 -3  5
Curve Equation t 61504bd1 [0,0,0,-124,-496] 1
61504be (1 curve)	0	2- 31+	2-  1  1  3 -1  5  3  1
Curve Equation t 61504be1 [0,1,0,-754705,252040687] 1
61504bf (1 curve)	2	2- 31+	2-  1 -1 -3 -5 -1  3  1
Curve Equation t Generators 61504bf1 [0,1,0,-1281,12671] 1 [103:992:1]&[7:64:1]
61504bg (2 curves)	0	2- 31+	2-  1  3  1  3 -5  3 -7
Curve Equation t 61504bg1 [0,1,0,-278049,-33476257] 1 61504bg2 [0,1,0,-9811169,11823818399] 1
61504bh (1 curve)	2	2- 31+	2- -1  3 -5  1 -1 -5 -5
Curve Equation t Generators 61504bh1 [0,-1,0,-278049,-55181759] 1 [-320:961:1]&[-315:1024:1]
61504bi (1 curve)	2	2- 31+	2- -1 -3  1  1 -7 -5  7
Curve Equation t Generators 61504bi1 [0,-1,0,-16657,833009] 1 [77:32:1]&[83:124:1]
61504bj (2 curves)	0	2- 31+	2-  3 -1  3 -3 -5  3  7
Curve Equation t 61504bj1 [0,0,0,-4409068,-2053910704] 1 61504bj2 [0,0,0,-4694704108,123811347857744] 1
61504bk (1 curve)	0	2- 31+	2-  3 -3 -3  5  1  3 -5
Curve Equation t 61504bk1 [0,0,0,-119164,-14776336] 1
61504bl (1 curve)	1	2- 31-	2-  0 -1 -3 -6 -4  0 -5
Curve Equation t Generators 61504bl1 [0,0,0,-65348,-6434856] 1 [38905:229679:125]
61504bm (4 curves)	1	2- 31-	2-  0  2  0  0  2  6  4
Curve Equation t Generators 61504bm1 [0,0,0,-42284,16682960] 2 [-115156916:702411920:389017] 61504bm2 [0,0,0,-1272364,550537680] 4 [461617948681494221540:732512290526635333737:753223251505256000] 61504bm3 [0,0,0,-1887404,-36702512] 2 [120199902882:1273365623392:83453453] 61504bm4 [0,0,0,-20338604,35304479952] 2 [773611030430:-838058210017:300763000]
61504bn (4 curves)	1	2- 31-	2-  0  2  0  0  6 -2  0
Curve Equation t Generators 61504bn1 [0,0,0,961,0] 2 [10237576036800:86949902410280:187837175583] 61504bn2 [0,0,0,-3844,0] 4 [2852046:42110880:12167] 61504bn3 [0,0,0,-42284,-3336592] 2 [934:27784:1] 61504bn4 [0,0,0,-42284,3336592] 2 [-44268:884120:343]
61504bo (2 curves)	1	2- 31-	2-  0 -2  0  0  4  8  0
Curve Equation t Generators 61504bo1 [0,0,0,-29791,0] 2 [6286229858294128:-232424756766506700:4527336855007] 61504bo2 [0,0,0,119164,0] 2 [7709038:574518352:357911]
61504bp (2 curves)	1	2- 31-	2-  0 -2  0  0 -4 -8  0
Curve Equation t Generators 61504bp1 [0,0,0,-31,0] 2 [16:60:1] 61504bp2 [0,0,0,124,0] 2 [2:16:1]
61504bq (1 curve)	1	2- 31-	2-  0  3  3 -2 -4  0  1
Curve Equation t Generators 61504bq1 [0,0,0,3844,-238328] 1 [93:961:1]
61504br (1 curve)	1	2- 31-	2-  1  3 -5 -1  1  5 -5
Curve Equation t Generators 61504br1 [0,1,0,-289,1759] 1 [15:32:1]
61504bs (1 curve)	1	2- 31-	2-  1 -3  1 -1  7  5  7
Curve Equation t Generators 61504bs1 [0,1,0,-16007697,-24656095249] 1 [-2318:467:1]
61504bt (1 curve)	1	2- 31-	2- -1  1  3  1 -5 -3  1
Curve Equation t Generators 61504bt1 [0,-1,0,-785,-8207] 1 [-16:1:1]
61504bu (1 curve)	1	2- 31-	2- -1 -1 -3  5  1 -3  1
Curve Equation t Generators 61504bu1 [0,-1,0,-1231361,-389794271] 1 [1917:65504:1]
61504bv (2 curves)	1	2- 31-	2- -1  3  1 -3  5 -3 -7
Curve Equation t Generators 61504bv1 [0,-1,0,-289,1217] 1 [29:128:1] 61504bv2 [0,-1,0,-10209,-393599] 1 [525:11776:1]
61504bw (1 curve)	1	2- 31-	2-  2 -1  1 -4 -2  2 -5
Curve Equation t Generators 61504bw1 [0,-1,0,-39721,-8469471] 1 [1107147930039986640:96040883392515576831:147005674821433]
61504bx (1 curve)	1	2- 31-	2-  2 -1  3  2 -2  6  1
Curve Equation t Generators 61504bx1 [0,-1,0,-1281,256409] 1 [3461480:81222759:166375]
61504by (2 curves)	1	2- 31-	2-  2 -2  0 -2  4 -6  4
Curve Equation t Generators 61504by1 [0,-1,0,29471,-627711] 2 [57509524995:-1044015085504:291434247] 61504by2 [0,-1,0,-124289,-5025247] 2 [-22004409:-439953488:132651]
61504bz (2 curves)	1	2- 31-	2-  2 -2  4  6  2 -4 -4
Curve Equation t Generators 61504bz1 [0,-1,0,-289,-2751] 2 [305601:877800:12167] 61504bz2 [0,-1,0,-5249,-144607] 2 [116332445361:-1814509610200:437245479]
61504ca (2 curves)	1	2- 31-	2-  2  3  1  6  2 -6 -1
Curve Equation t Generators 61504ca1 [0,-1,0,-8969,417857] 1 [-48024:617923:729] 61504ca2 [0,-1,0,67911,-4056559] 1 [2024504394120:42969660369857:8527173507]
61504cb (1 curve)	1	2- 31-	2-  2  3 -1 -4  2  6  1
Curve Equation t Generators 61504cb1 [0,-1,0,-2661329,1671981257] 1 [10314348815904:72112255560773:9541617561]
61504cc (1 curve)	1	2- 31-	2- -2 -1  1  4  2 -2 -5
Curve Equation t Generators 61504cc1 [0,1,0,-41,271] 1 [10:31:1]
61504cd (2 curves)	1	2- 31-	2- -2 -2  4 -6 -2  4 -4
Curve Equation t Generators 61504cd1 [0,1,0,-278049,84734431] 2 [417:6440:1] 61504cd2 [0,1,0,-5044609,4358432127] 2 [16036727:11623640:12167]
61504ce (1 curve)	1	2- 31-	2- -2  3 -1  4 -2 -6  1
Curve Equation t Generators 61504ce1 [0,1,0,-2769,-57017] 1 [96730:2686181:125]
61504cf (2 curves)	1	2- 31-	2- -3 -1  3  3  5 -3  7
Curve Equation t Generators 61504cf1 [0,0,0,-4588,68944] 1 [410:8192:1] 61504cf2 [0,0,0,-4885228,-4155998384] 1 [634298:505169792:1]
61504cg (1 curve)	3	2- 31-	2- -3 -3 -3 -5 -1 -3 -5
Curve Equation t Generators 61504cg1 [0,0,0,-124,496] 1 [2:-16:1]&[-11:23:1]&[-6:32:1]

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