Cremona's table of elliptic curves

15840 = 2⁵ · 3² · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
15840a (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+ -2 -2  4
Curve Equation t 15840a1 [0,0,0,-8913,-323512] 4 15840a2 [0,0,0,-142563,-20718502] 2 15840a3 [0,0,0,-11388,-129472] 2 15840a4 [0,0,0,-6483,-503818] 2
15840b (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+  4  4  4
Curve Equation t 15840b1 [0,0,0,-37533,2798768] 2 15840b2 [0,0,0,-38028,2721152] 2
15840c (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+ -4  6 -2
Curve Equation t 15840c1 [0,0,0,-16833,4230268] 2 15840c2 [0,0,0,-508908,139255648] 2
15840d (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+ -2  0  6
Curve Equation t 15840d1 [0,0,0,-439653,-126117848] 2 15840d2 [0,0,0,-7274028,-7550982848] 2
15840e (2 curves)	2	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+ -6  0 -6
Curve Equation t Generators 15840e1 [0,0,0,-93,2608] 2 [-7:54:1]&[-4:54:1] 15840e2 [0,0,0,-3468,78208] 2 [-66:140:1]&[-34:396:1]
15840f (1 curve)	0	2+ 3- 5+ 11+	2+ 3- 5+  3 11+ -2 -5  1
Curve Equation t 15840f1 [0,0,0,-3,218] 1
15840g (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+  4  2 -6
Curve Equation t 15840g1 [0,0,0,-9993,-401708] 2 15840g2 [0,0,0,-161868,-25066208] 2
15840h (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  2  6  4
Curve Equation t Generators 15840h1 [0,0,0,-5010933,4260270868] 4 [1137:5720:1] 15840h2 [0,0,0,-9862428,-5330164448] 2 [-298920:8458736:125] 15840h3 [0,0,0,-79879683,274791012118] 2 [5669:64350:1] 15840h4 [0,0,0,-454683,11717029618] 2 [-2206:44550:1]
15840i (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11- -2  2  4
Curve Equation t Generators 15840i1 [0,0,0,-333,2268] 4 [1:44:1] 15840i2 [0,0,0,-828,-6048] 2 [-8:8:1] 15840i3 [0,0,0,-5283,147798] 2 [46:46:1] 15840i4 [0,0,0,117,7938] 2 [18:126:1]
15840j (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11- -2 -2 -4
Curve Equation t Generators 15840j1 [0,0,0,-8913,323512] 4 [-43:792:1] 15840j2 [0,0,0,-11388,129472] 2 [-48:752:1] 15840j3 [0,0,0,-142563,20718502] 2 [362:4068:1] 15840j4 [0,0,0,-6483,503818] 2 [26:594:1]
15840k (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  4  4 -4
Curve Equation t Generators 15840k1 [0,0,0,-37533,-2798768] 2 [78701:280566:343] 15840k2 [0,0,0,-38028,-2721152] 2 [-114:364:1]
15840l (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11- -2  0 -6
Curve Equation t Generators 15840l1 [0,0,0,-439653,126117848] 2 [-151:13750:1] 15840l2 [0,0,0,-7274028,7550982848] 2 [-626:108900:1]
15840m (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11- -6  0  6
Curve Equation t Generators 15840m1 [0,0,0,-93,-2608] 2 [41:250:1] 15840m2 [0,0,0,-3468,-78208] 2 [-34:20:1]
15840n (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -2 -5 -1
Curve Equation t Generators 15840n1 [0,0,0,-3,-218] 1 [9:22:1]
15840o (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11-  0  2  2
Curve Equation t Generators 15840o1 [0,0,0,87,-412] 2 [13:54:1] 15840o2 [0,0,0,-588,-4192] 2 [-14:36:1]
15840p (4 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+ -2  2  0
Curve Equation t Generators 15840p1 [0,0,0,-1677,25004] 4 [8:110:1] 15840p2 [0,0,0,-5052,-107296] 2 [88:360:1] 15840p3 [0,0,0,-26427,1653554] 2 [98:70:1] 15840p4 [0,0,0,1293,104006] 4 [-35:126:1]
15840q (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  2 11+ -2  2  0
Curve Equation t Generators 15840q1 [0,0,0,-1137,-4484] 2 [-13:90:1] 15840q2 [0,0,0,4308,-34976] 2 [18:220:1]
15840r (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+  2  6 -4
Curve Equation t Generators 15840r1 [0,0,0,-5010933,-4260270868] 4 [-68487979180849:-249929076228532:57467768779] 15840r2 [0,0,0,-79879683,-274791012118] 2 [-1396365816778010667845445916334:61178963142672702271792419613:270578335212036548511699464] 15840r3 [0,0,0,-9862428,5330164448] 2 [-1893562:468002268:4913] 15840r4 [0,0,0,-454683,-11717029618] 2 [253556963:4329219150:103823]
15840s (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+ -2  2 -4
Curve Equation t Generators 15840s1 [0,0,0,-333,-2268] 4 [-11:8:1] 15840s2 [0,0,0,-5283,-147798] 2 [102:612:1] 15840s3 [0,0,0,-828,6048] 2 [-26:100:1] 15840s4 [0,0,0,117,-7938] 2 [34:188:1]
15840t (1 curve)	1	2- 3- 5+ 11+	2- 3- 5+ -1 11+ -2  5 -7
Curve Equation t Generators 15840t1 [0,0,0,-27003,-7452002] 1 [21266031:546908774:29791]
15840u (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  4 11+  0  2 -2
Curve Equation t Generators 15840u1 [0,0,0,87,412] 2 [-1:18:1] 15840u2 [0,0,0,-588,4192] 2 [-3:77:1]
15840v (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -4 11+  2  2  4
Curve Equation t Generators 15840v1 [0,0,0,-273,-272] 4 [-7:36:1] 15840v2 [0,0,0,-3243,-70958] 2 [66:50:1] 15840v3 [0,0,0,-2748,55168] 2 [-22:324:1] 15840v4 [0,0,0,1077,-2162] 2 [38:306:1]
15840w (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -4 11+  4 -4 -4
Curve Equation t Generators 15840w1 [0,0,0,-93,232] 2 [-3:22:1] 15840w2 [0,0,0,-588,-5312] 2 [-12:4:1]
15840x (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11- -4  6  2
Curve Equation t 15840x1 [0,0,0,-16833,-4230268] 2 15840x2 [0,0,0,-508908,-139255648] 2
15840y (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  1 11- -2  5  7
Curve Equation t 15840y1 [0,0,0,-27003,7452002] 1
15840z (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  2  2 -4
Curve Equation t 15840z1 [0,0,0,-273,272] 4 15840z2 [0,0,0,-2748,-55168] 2 15840z3 [0,0,0,-3243,70958] 2 15840z4 [0,0,0,1077,2162] 2
15840ba (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  4  2  6
Curve Equation t 15840ba1 [0,0,0,-9993,401708] 2 15840ba2 [0,0,0,-161868,25066208] 2
15840bb (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  4 -4  4
Curve Equation t 15840bb1 [0,0,0,-93,-232] 2 15840bb2 [0,0,0,-588,5312] 2
15840bc (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -2  2 -4
Curve Equation t 15840bc1 [0,0,0,-1857,26656] 4 15840bc2 [0,0,0,-7932,-245504] 2 15840bc3 [0,0,0,-28587,1860334] 4 15840bc4 [0,0,0,3093,144466] 2
15840bd (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -3 11+ -2 -7  5
Curve Equation t 15840bd1 [0,0,0,-29307,-1931294] 1
15840be (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11- -2  2  0
Curve Equation t Generators 15840be1 [0,0,0,-1677,-25004] 4 [-25:36:1] 15840be2 [0,0,0,-26427,-1653554] 2 [230:2106:1] 15840be3 [0,0,0,-5052,107296] 4 [-43:495:1] 15840be4 [0,0,0,1293,-104006] 2 [74:630:1]
15840bf (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  0 11- -2  2  4
Curve Equation t Generators 15840bf1 [0,0,0,-1857,-26656] 4 [343:6300:1] 15840bf2 [0,0,0,-28587,-1860334] 2 [123886:2027250:343] 15840bf3 [0,0,0,-7932,245504] 4 [-86:540:1] 15840bf4 [0,0,0,3093,-144466] 2 [2722:50785:8]
15840bg (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -2 11- -2  2  0
Curve Equation t Generators 15840bg1 [0,0,0,-1137,4484] 2 [-7:110:1] 15840bg2 [0,0,0,4308,34976] 2 [37:495:1]
15840bh (1 curve)	1	2- 3- 5- 11-	2- 3- 5-  3 11- -2 -7 -5
Curve Equation t Generators 15840bh1 [0,0,0,-29307,1931294] 1 [113:250:1]

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