Cremona's table of elliptic curves

129456 = 2⁴ · 3² · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
129456a (2 curves)	1	2+ 3+ 29+ 31+	2+ 3+ -2  0  0 -4  8  2
Curve Equation t Generators 129456a1 [0,0,0,-891,10234] 2 [11:42:1] 129456a2 [0,0,0,-771,13090] 2 [-3:124:1]
129456b (1 curve)	2	2+ 3+ 29+ 31-	2+ 3+ -1 -3 -2  0 -5 -1
Curve Equation t Generators 129456b1 [0,0,0,-243,2386] 1 [-19:12:1]&[-9:62:1]
129456c (2 curves)	0	2+ 3+ 29- 31+	2+ 3+  2  0  0 -4 -8  2
Curve Equation t 129456c1 [0,0,0,-8019,-276318] 2 129456c2 [0,0,0,-6939,-353430] 2
129456d (1 curve)	1	2+ 3+ 29- 31-	2+ 3+  1 -3  2  0  5 -1
Curve Equation t Generators 129456d1 [0,0,0,-2187,-64422] 1 [58:62:1]
129456e (1 curve)	0	2+ 3- 29+ 31+	2+ 3- -2 -3  3  5 -1  2
Curve Equation t 129456e1 [0,0,0,45789,102409] 1
129456f (1 curve)	0	2+ 3- 29+ 31+	2+ 3-  3  2 -2 -2  3  7
Curve Equation t 129456f1 [0,0,0,-568011,141454442] 1
129456g (1 curve)	2	2+ 3- 29+ 31+	2+ 3- -3 -4 -2  4 -1  1
Curve Equation t Generators 129456g1 [0,0,0,-6339,-193934] 1 [-46:18:1]&[-45:14:1]
129456h (1 curve)	1	2+ 3- 29+ 31-	2+ 3-  1 -1  0 -6  5 -7
Curve Equation t Generators 129456h1 [0,0,0,-450507,-3475794278] 1 [14344974:1015802761:2744]
129456i (1 curve)	1	2+ 3- 29+ 31-	2+ 3-  1 -4  6  0 -1 -1
Curve Equation t Generators 129456i1 [0,0,0,-27147,-1721558] 1 [707:18234:1]
129456j (1 curve)	1	2+ 3- 29+ 31-	2+ 3- -1  3  4  0  4  5
Curve Equation t Generators 129456j1 [0,0,0,-3,-839] 1 [644:783:64]
129456k (6 curves)	1	2+ 3- 29+ 31-	2+ 3-  2  0  4  6 -2 -4
Curve Equation t Generators 129456k1 [0,0,0,-2111754,1181171887] 2 [13819546:-46002033:17576] 129456k2 [0,0,0,-2111799,1181119030] 4 [17892827626882:-59381106013845:22761429704] 129456k3 [0,0,0,-1961139,1356818722] 2 [4970172213101428102:324065204889286113630:12712471275491603] 129456k4 [0,0,0,-2263179,1002036490] 4 [206833:34040790:1331] 129456k5 [0,0,0,5347581,6297603298] 2 [194095976865:37728413152298:397065375] 129456k6 [0,0,0,-12296019,-15754812878] 2 [-7989029565:99235963162:4492125]
129456l (1 curve)	1	2+ 3- 29+ 31-	2+ 3-  2  1  3 -1  3 -6
Curve Equation t Generators 129456l1 [0,0,0,-206859,-49752187] 1 [259412948186260:10279645291633671:151845970375]
129456m (1 curve)	1	2+ 3- 29- 31+	2+ 3-  3 -1 -2  4  0  7
Curve Equation t Generators 129456m1 [0,0,0,24836829,34312463957] 1 [-146750189625436:1459827329468463:113872553423]
129456n (1 curve)	1	2+ 3- 29- 31+	2+ 3-  3  2 -2 -2 -3 -5
Curve Equation t Generators 129456n1 [0,0,0,-2811,57242] 1 [43:126:1]
129456o (1 curve)	1	2+ 3- 29- 31+	2+ 3- -3  0  2 -4 -3  5
Curve Equation t Generators 129456o1 [0,0,0,-2259,20034] 1 [75:-522:1]
129456p (1 curve)	0	2+ 3- 29- 31-	2+ 3-  1 -1  2  0 -2 -7
Curve Equation t 129456p1 [0,0,0,-1407,-30427] 1
129456q (1 curve)	2	2+ 3- 29- 31-	2+ 3- -3 -4 -2  4 -7 -1
Curve Equation t Generators 129456q1 [0,0,0,-78020139,-265238651446] 1 [-5125:1798:1]&[12115:753462:1]
129456r (2 curves)	0	2- 3+ 29+ 31+	2- 3+  0  0  0  6 -6 -4
Curve Equation t 129456r1 [0,0,0,-60,-77] 2 129456r2 [0,0,0,-495,4186] 2
129456s (1 curve)	2	2- 3+ 29+ 31+	2- 3+ -2 -5 -1 -1 -7  0
Curve Equation t Generators 129456s1 [0,0,0,-21,171] 1 [-6:9:1]&[10:31:1]
129456t (2 curves)	0	2- 3+ 29+ 31+	2- 3+  3  1 -6 -4  3  7
Curve Equation t 129456t1 [0,0,0,30429,6966818] 1 129456t2 [0,0,0,-2045331,1126877778] 1
129456u (1 curve)	1	2- 3+ 29+ 31-	2- 3+  0  2  3 -6  4  1
Curve Equation t Generators 129456u1 [0,0,0,-135,-3294] 1 [694:18280:1]
129456v (1 curve)	1	2- 3+ 29+ 31-	2- 3+  2  4  1 -2  6 -5
Curve Equation t Generators 129456v1 [0,0,0,-25299,1548882] 1 [738:81:8]
129456w (1 curve)	1	2- 3+ 29+ 31-	2- 3+  3  4 -5 -1 -3 -5
Curve Equation t Generators 129456w1 [0,0,0,23469,-979182] 1 [22911:322944:343]
129456x (2 curves)	1	2- 3+ 29- 31+	2- 3+  0  0  0  6  6 -4
Curve Equation t Generators 129456x1 [0,0,0,-540,2079] 2 [-27755:182294:2197] 129456x2 [0,0,0,-4455,-113022] 2 [-216508474:153969733:6028568]
129456y (1 curve)	1	2- 3+ 29- 31+	2- 3+  2 -5  1 -1  7  0
Curve Equation t Generators 129456y1 [0,0,0,-189,-4617] 1 [94:899:1]
129456z (2 curves)	1	2- 3+ 29- 31+	2- 3+ -3  1  6 -4 -3  7
Curve Equation t Generators 129456z1 [0,0,0,-227259,-41736214] 1 [685:11136:1] 129456z2 [0,0,0,273861,-188104086] 1 [573:12528:1]
129456ba (1 curve)	2	2- 3+ 29- 31-	2- 3+  0  2 -3 -6 -4  1
Curve Equation t Generators 129456ba1 [0,0,0,-15,122] 1 [-2:12:1]&[2:10:1]
129456bb (1 curve)	0	2- 3+ 29- 31-	2- 3+ -2  4 -1 -2 -6 -5
Curve Equation t 129456bb1 [0,0,0,-2811,-57366] 1
129456bc (1 curve)	0	2- 3+ 29- 31-	2- 3+ -3  4  5 -1  3 -5
Curve Equation t 129456bc1 [0,0,0,211221,26437914] 1
129456bd (1 curve)	1	2- 3- 29+ 31+	2- 3- -1  0  4 -2  3  5
Curve Equation t Generators 129456bd1 [0,0,0,-237431703,-1408173524926] 1 [-10263132440213597794004780581443921782994323081594933726753930:2692326792937772634912460938114345900927813769237152734739:1153642948799829271370503052818883183396213497141242583000]
129456be (1 curve)	1	2- 3- 29+ 31+	2- 3- -1  2 -6  2  3 -1
Curve Equation t Generators 129456be1 [0,0,0,-214563,26321186] 1 [46:4068:1]
129456bf (4 curves)	1	2- 3- 29+ 31+	2- 3-  2  0  4 -2  6 -4
Curve Equation t Generators 129456bf1 [0,0,0,-8859,313418] 2 [-89:630:1] 129456bf2 [0,0,0,-20379,-670390] 4 [-13045:70686:125] 129456bf3 [0,0,0,63141,-4762870] 2 [566585635:-20340708590:456533] 129456bf4 [0,0,0,-288219,-59541622] 2 [2195510849:-71025755130:1685159]
129456bg (1 curve)	1	2- 3- 29+ 31+	2- 3-  2 -4 -3 -4  6 -1
Curve Equation t Generators 129456bg1 [0,0,0,3702921,-4819426702] 1 [1619090839704201412145108138:121124634336479833334839031348:320454749819158655883967]
129456bh (1 curve)	1	2- 3- 29+ 31+	2- 3- -2  1 -1  2 -1  6
Curve Equation t Generators 129456bh1 [0,0,0,-3816,531900] 1 [2658:28450:27]
129456bi (1 curve)	1	2- 3- 29+ 31+	2- 3-  3  4 -4  2  3 -7
Curve Equation t Generators 129456bi1 [0,0,0,-61671,-2386798] 1 [-21981629450:309248896149:166375000]
129456bj (1 curve)	1	2- 3- 29+ 31+	2- 3- -3  1  2 -4  6 -1
Curve Equation t Generators 129456bj1 [0,0,0,-10749,428951] 1 [62:29:1]
129456bk (1 curve)	1	2- 3- 29+ 31+	2- 3- -3  3  0 -6 -3  5
Curve Equation t Generators 129456bk1 [0,0,0,32901,2318506] 1 [77:-2304:1]
129456bl (1 curve)	0	2- 3- 29+ 31-	2- 3-  0  2  5 -4 -4  3
Curve Equation t 129456bl1 [0,0,0,2085,110666] 1
129456bm (1 curve)	0	2- 3- 29+ 31-	2- 3- -2 -5 -3  2  3  2
Curve Equation t 129456bm1 [0,0,0,-336,3440] 1
129456bn (1 curve)	0	2- 3- 29+ 31-	2- 3-  3  0 -3 -3 -7  7
Curve Equation t 129456bn1 [0,0,0,-12203211,-16408178822] 1
129456bo (1 curve)	0	2- 3- 29+ 31-	2- 3-  3 -3  6  0  8  1
Curve Equation t 129456bo1 [0,0,0,-437421,111558607] 1
129456bp (1 curve)	0	2- 3- 29+ 31-	2- 3- -3  4 -2 -4  3  7
Curve Equation t 129456bp1 [0,0,0,-4419,-111294] 1
129456bq (2 curves)	0	2- 3- 29- 31+	2- 3-  0 -2 -3 -4  0  1
Curve Equation t 129456bq1 [0,0,0,-364395,84908954] 1 129456bq2 [0,0,0,773925,440854922] 1
129456br (1 curve)	0	2- 3- 29- 31+	2- 3-  1  0  2  0 -7  5
Curve Equation t 129456br1 [0,0,0,-151707,-4686262] 1
129456bs (2 curves)	0	2- 3- 29- 31+	2- 3- -1  2  2 -6 -3 -5
Curve Equation t 129456bs1 [0,0,0,-3414963,2428920434] 1 129456bs2 [0,0,0,-38847603,-92408134606] 1
129456bt (1 curve)	0	2- 3- 29- 31+	2- 3- -1 -4  0  2 -3  5
Curve Equation t 129456bt1 [0,0,0,-77583,-8187766] 1
129456bu (2 curves)	0	2- 3- 29- 31+	2- 3-  3  1  0 -4  0 -5
Curve Equation t 129456bu1 [0,0,0,-561,26507] 1 129456bu2 [0,0,0,5019,-692197] 1
129456bv (2 curves)	0	2- 3- 29- 31+	2- 3-  3 -2  0  2  3 -5
Curve Equation t 129456bv1 [0,0,0,-31251,2120402] 1 129456bv2 [0,0,0,-157971,-22442542] 1
129456bw (1 curve)	0	2- 3- 29- 31+	2- 3- -4  2  5  0  0  1
Curve Equation t 129456bw1 [0,0,0,-867,-19870] 1
129456bx (1 curve)	1	2- 3- 29- 31-	2- 3-  1  0  3 -7  3 -1
Curve Equation t Generators 129456bx1 [0,0,0,1314573,501839282] 1 [3337:205056:1]
129456by (1 curve)	1	2- 3- 29- 31-	2- 3-  1  2  0  4  1 -3
Curve Equation t Generators 129456by1 [0,0,0,-327,1298] 1 [2:279:8]
129456bz (1 curve)	1	2- 3- 29- 31-	2- 3- -1 -2  0  2  3  5
Curve Equation t Generators 129456bz1 [0,0,0,-363,-934] 1 [-17:18:1]
129456ca (1 curve)	1	2- 3- 29- 31-	2- 3- -2  0 -3 -4 -6  5
Curve Equation t Generators 129456ca1 [0,0,0,249,-907774] 1 [230:3364:1]
129456cb (1 curve)	1	2- 3- 29- 31-	2- 3- -2  3  3 -1 -3  2
Curve Equation t Generators 129456cb1 [0,0,0,-3981,-97621] 1 [31486:191115:343]
129456cc (1 curve)	1	2- 3- 29- 31-	2- 3-  3 -1  4 -2 -1 -7
Curve Equation t Generators 129456cc1 [0,0,0,-294771,-61844942] 1 [3692754:13517209:5832]
129456cd (1 curve)	1	2- 3- 29- 31-	2- 3-  3  2  4 -2 -1 -7
Curve Equation t Generators 129456cd1 [0,0,0,-10119531,12389547418] 1 [-1513:155682:1]
129456ce (1 curve)	1	2- 3- 29- 31-	2- 3-  3  2 -6 -6  5  1
Curve Equation t Generators 129456ce1 [0,0,0,-4971,8858] 1 [-38:378:1]
129456cf (1 curve)	1	2- 3- 29- 31-	2- 3-  3 -4  1  1  5 -1
Curve Equation t Generators 129456cf1 [0,0,0,-4971,239002] 1 [143:1566:1]

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