Cremona's table of elliptic curves

40896 = 2⁶ · 3² · 71

Class	r	Atkin-Lehner	Eigenvalues
40896a (1 curve)	1	2+ 3+ 71+	2+ 3+  1  1 -1 -2  2  1
Curve Equation t Generators 40896a1 [0,0,0,-1932,32688] 1 [24:12:1]
40896b (1 curve)	1	2+ 3+ 71+	2+ 3+ -1 -1 -1 -2 -2 -1
Curve Equation t Generators 40896b1 [0,0,0,-17388,882576] 1 [90:216:1]
40896c (1 curve)	1	2+ 3+ 71+	2+ 3+ -1 -1 -1  6  6  7
Curve Equation t Generators 40896c1 [0,0,0,-125388,-17291664] 1 [1423110:28919808:2197]
40896d (1 curve)	1	2+ 3+ 71+	2+ 3+ -1 -3 -3  2 -6 -1
Curve Equation t Generators 40896d1 [0,0,0,372,-1296] 1 [30:192:1]
40896e (2 curves)	1	2+ 3+ 71+	2+ 3+ -4  2 -4 -6 -6  4
Curve Equation t Generators 40896e1 [0,0,0,-2592,50760] 2 [34:44:1] 40896e2 [0,0,0,-3132,28080] 2 [-6:216:1]
40896f (1 curve)	0	2+ 3+ 71-	2+ 3+  1 -1  1 -2  2 -1
Curve Equation t 40896f1 [0,0,0,-1932,-32688] 1
40896g (1 curve)	0	2+ 3+ 71-	2+ 3+  1 -1  1  6 -6  7
Curve Equation t 40896g1 [0,0,0,-13932,640432] 1
40896h (1 curve)	0	2+ 3+ 71-	2+ 3+  1 -3  3  2  6 -1
Curve Equation t 40896h1 [0,0,0,3348,34992] 1
40896i (1 curve)	0	2+ 3+ 71-	2+ 3+ -1  1  1 -2 -2  1
Curve Equation t 40896i1 [0,0,0,-17388,-882576] 1
40896j (2 curves)	0	2+ 3+ 71-	2+ 3+  4  2  4 -6  6  4
Curve Equation t 40896j1 [0,0,0,-288,-1880] 2 40896j2 [0,0,0,-348,-1040] 2
40896k (1 curve)	0	2+ 3- 71+	2+ 3-  0 -3  4 -5  8  1
Curve Equation t 40896k1 [0,0,0,-300,272] 1
40896l (2 curves)	0	2+ 3- 71+	2+ 3-  1  3 -3  6  2 -5
Curve Equation t 40896l1 [0,0,0,-11532,-686608] 1 40896l2 [0,0,0,-132492,71647472] 1
40896m (2 curves)	0	2+ 3- 71+	2+ 3-  2  0  6 -4 -6  8
Curve Equation t 40896m1 [0,0,0,-684,45360] 2 40896m2 [0,0,0,-23724,1400112] 2
40896n (2 curves)	0	2+ 3- 71+	2+ 3-  2  2 -4 -2 -4  0
Curve Equation t 40896n1 [0,0,0,-444,-38000] 2 40896n2 [0,0,0,-19884,-1072208] 2
40896o (1 curve)	0	2+ 3- 71+	2+ 3-  2 -3 -6  5 -6 -1
Curve Equation t 40896o1 [0,0,0,-1512684,-713145168] 1
40896p (1 curve)	0	2+ 3- 71+	2+ 3-  2  5  2  1  2  3
Curve Equation t 40896p1 [0,0,0,-2604,50992] 1
40896q (1 curve)	0	2+ 3- 71+	2+ 3- -2  1  2  7  2  1
Curve Equation t 40896q1 [0,0,0,-3276,-72144] 1
40896r (2 curves)	0	2+ 3- 71+	2+ 3- -2 -2  0  2  4  0
Curve Equation t 40896r1 [0,0,0,-26031,1616164] 2 40896r2 [0,0,0,-22836,2027680] 2
40896s (1 curve)	0	2+ 3- 71+	2+ 3-  3 -3  1 -2 -2  5
Curve Equation t 40896s1 [0,0,0,564,-8912] 1
40896t (1 curve)	0	2+ 3- 71+	2+ 3- -4 -3  0 -1  0  5
Curve Equation t 40896t1 [0,0,0,-6732,-170640] 1
40896u (2 curves)	1	2+ 3- 71-	2+ 3-  0 -1  0  1  0  1
Curve Equation t Generators 40896u1 [0,0,0,-4620,-119824] 1 [-1032:820:27] 40896u2 [0,0,0,-33420,2283248] 1 [8:1420:1]
40896v (1 curve)	1	2+ 3- 71-	2+ 3-  0  3 -4 -5  8 -1
Curve Equation t Generators 40896v1 [0,0,0,-300,-272] 1 [-12:40:1]
40896w (2 curves)	1	2+ 3- 71-	2+ 3-  2  2  0  2  0  0
Curve Equation t Generators 40896w1 [0,0,0,276,-16720] 2 [472:10260:1] 40896w2 [0,0,0,-8364,-282832] 2 [59480:1271556:125]
40896x (4 curves)	1	2+ 3- 71-	2+ 3- -2  0  0  6 -2 -4
Curve Equation t Generators 40896x1 [0,0,0,-3036,-130480] 2 [670:17280:1] 40896x2 [0,0,0,-61356,-5845840] 4 [86180:2090016:125] 40896x3 [0,0,0,-74316,-3196816] 2 [-5748:46576:27] 40896x4 [0,0,0,-981516,-374277904] 2 [-1623939609912:75693995:2839159296]
40896y (1 curve)	1	2+ 3- 71-	2+ 3- -2 -1 -2  3  6 -5
Curve Equation t Generators 40896y1 [0,0,0,-876,6064] 1 [6:32:1]
40896z (1 curve)	1	2+ 3- 71-	2+ 3- -2 -1 -2  7  2 -1
Curve Equation t Generators 40896z1 [0,0,0,-3276,72144] 1 [34:8:1]
40896ba (2 curves)	1	2+ 3- 71-	2+ 3- -2  2  0  2  4  0
Curve Equation t Generators 40896ba1 [0,0,0,-26031,-1616164] 2 [2798893240:-21719679498:12977875] 40896ba2 [0,0,0,-22836,-2027680] 2 [89270:2324808:125]
40896bb (2 curves)	1	2+ 3- 71-	2+ 3- -2  2 -2  0  0  4
Curve Equation t Generators 40896bb1 [0,0,0,-165036,-26256080] 2 [72830072:1227209292:117649] 40896bb2 [0,0,0,-2653356,-1663570640] 2 [48346342916872:-2726964191292300:12214672127]
40896bc (2 curves)	1	2+ 3- 71-	2+ 3- -2 -2  2 -4  4 -4
Curve Equation t Generators 40896bc1 [0,0,0,564,6640] 2 [8:108:1] 40896bc2 [0,0,0,-3756,67120] 2 [-51:355:1]
40896bd (1 curve)	1	2+ 3- 71-	2+ 3-  3  1 -3  2 -6 -1
Curve Equation t Generators 40896bd1 [0,0,0,-876,-12112] 1 [52:288:1]
40896be (2 curves)	1	2+ 3- 71-	2+ 3-  3 -1  3 -2  6 -5
Curve Equation t Generators 40896be1 [0,0,0,-13251756,-18573918928] 1 [445400180158944740:-27650927836402010496:69756448167125] 40896be2 [0,0,0,8443284,-71236878928] 1 [6566180:1506854016:125]
40896bf (1 curve)	1	2+ 3- 71-	2+ 3-  3  3 -1 -2 -2 -5
Curve Equation t Generators 40896bf1 [0,0,0,564,8912] 1 [28:216:1]
40896bg (1 curve)	0	2- 3+ 71+	2- 3+  1  1 -1  6 -6 -7
Curve Equation t 40896bg1 [0,0,0,-13932,-640432] 1
40896bh (1 curve)	0	2- 3+ 71+	2- 3+  1  3 -3  2  6  1
Curve Equation t 40896bh1 [0,0,0,3348,-34992] 1
40896bi (2 curves)	0	2- 3+ 71+	2- 3+  4 -2 -4 -6  6 -4
Curve Equation t 40896bi1 [0,0,0,-288,1880] 2 40896bi2 [0,0,0,-348,1040] 2
40896bj (1 curve)	1	2- 3+ 71-	2- 3+ -1  1  1  6  6 -7
Curve Equation t Generators 40896bj1 [0,0,0,-125388,17291664] 1 [384:5076:1]
40896bk (1 curve)	1	2- 3+ 71-	2- 3+ -1  3  3  2 -6  1
Curve Equation t Generators 40896bk1 [0,0,0,372,1296] 1 [0:36:1]
40896bl (2 curves)	1	2- 3+ 71-	2- 3+ -4 -2  4 -6 -6 -4
Curve Equation t Generators 40896bl1 [0,0,0,-2592,-50760] 2 [402:7992:1] 40896bl2 [0,0,0,-3132,-28080] 2 [-48:108:1]
40896bm (2 curves)	1	2- 3- 71+	2- 3-  0  1  0  1  0 -1
Curve Equation t Generators 40896bm1 [0,0,0,-4620,119824] 1 [66:320:1] 40896bm2 [0,0,0,-33420,-2283248] 1 [642:15520:1]
40896bn (2 curves)	1	2- 3- 71+	2- 3-  2 -2  0  2  0  0
Curve Equation t Generators 40896bn1 [0,0,0,276,16720] 2 [5:135:1] 40896bn2 [0,0,0,-8364,282832] 2 [26:288:1]
40896bo (2 curves)	1	2- 3- 71+	2- 3-  2 -4  6  0 -2 -4
Curve Equation t Generators 40896bo1 [0,0,0,636,-1280] 2 [5:45:1] 40896bo2 [0,0,0,-2604,-10352] 2 [221:3195:1]
40896bp (4 curves)	1	2- 3- 71+	2- 3- -2  0  0  6 -2  4
Curve Equation t Generators 40896bp1 [0,0,0,-3036,130480] 2 [-22:432:1] 40896bp2 [0,0,0,-61356,5845840] 4 [221:1755:1] 40896bp3 [0,0,0,-74316,3196816] 2 [31945:118287:125] 40896bp4 [0,0,0,-981516,374277904] 2 [722:6480:1]
40896bq (1 curve)	1	2- 3- 71+	2- 3- -2  1  2  3  6  5
Curve Equation t Generators 40896bq1 [0,0,0,-876,-6064] 1 [-19:61:1]
40896br (2 curves)	1	2- 3- 71+	2- 3- -2  2 -2 -4  4  4
Curve Equation t Generators 40896br1 [0,0,0,564,-6640] 2 [26:160:1] 40896br2 [0,0,0,-3756,-67120] 2 [-38:144:1]
40896bs (2 curves)	1	2- 3- 71+	2- 3- -2 -2  2  0  0 -4
Curve Equation t Generators 40896bs1 [0,0,0,-165036,26256080] 2 [16:4860:1] 40896bs2 [0,0,0,-2653356,1663570640] 2 [938:128:1]
40896bt (2 curves)	1	2- 3- 71+	2- 3-  3  1 -3 -2  6  5
Curve Equation t Generators 40896bt1 [0,0,0,-13251756,18573918928] 1 [268930:585216:125] 40896bt2 [0,0,0,8443284,71236878928] 1 [-2139193273330:-413389241450496:1706489875]
40896bu (1 curve)	1	2- 3- 71+	2- 3-  3 -1  3  2 -6  1
Curve Equation t Generators 40896bu1 [0,0,0,-876,12112] 1 [-22:144:1]
40896bv (2 curves)	0	2- 3- 71-	2- 3-  1 -3  3  6  2  5
Curve Equation t 40896bv1 [0,0,0,-11532,686608] 1 40896bv2 [0,0,0,-132492,-71647472] 1
40896bw (2 curves)	2	2- 3- 71-	2- 3-  2  0 -6 -4 -6 -8
Curve Equation t Generators 40896bw1 [0,0,0,-684,-45360] 2 [48:180:1]&[60:360:1] 40896bw2 [0,0,0,-23724,-1400112] 2 [-86:64:1]&[816:22860:1]
40896bx (2 curves)	0	2- 3- 71-	2- 3-  2 -2  4 -2 -4  0
Curve Equation t 40896bx1 [0,0,0,-444,38000] 2 40896bx2 [0,0,0,-19884,1072208] 2
40896by (1 curve)	0	2- 3- 71-	2- 3-  2  3  6  5 -6  1
Curve Equation t 40896by1 [0,0,0,-1512684,713145168] 1
40896bz (2 curves)	0	2- 3- 71-	2- 3-  2  4 -6  0 -2  4
Curve Equation t 40896bz1 [0,0,0,636,1280] 2 40896bz2 [0,0,0,-2604,10352] 2
40896ca (1 curve)	0	2- 3- 71-	2- 3-  2 -5 -2  1  2 -3
Curve Equation t 40896ca1 [0,0,0,-2604,-50992] 1
40896cb (1 curve)	2	2- 3- 71-	2- 3- -4  3  0 -1  0 -5
Curve Equation t Generators 40896cb1 [0,0,0,-6732,170640] 1 [-83:397:1]&[-14:512:1]

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

Part of Computational Number Theory
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