Cremona's table of elliptic curves

4032 = 2⁶ · 3² · 7

Class	r	Atkin-Lehner	Eigenvalues
4032a (2 curves)	1	2+ 3+ 7+	2+ 3+  2 7+  2 -2 -6  4
Curve Equation t Generators 4032a1 [0,0,0,-24,72] 2 [1:7:1] 4032a2 [0,0,0,-444,3600] 2 [0:60:1]
4032b (2 curves)	1	2+ 3+ 7+	2+ 3+ -2 7+ -2 -2  6  4
Curve Equation t Generators 4032b1 [0,0,0,-216,-1944] 2 [25:91:1] 4032b2 [0,0,0,-3996,-97200] 2 [133:1313:1]
4032c (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  6  6  2 -4
Curve Equation t 4032c1 [0,0,0,-24,40] 2 4032c2 [0,0,0,36,208] 2
4032d (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7- -6  6 -2 -4
Curve Equation t 4032d1 [0,0,0,-216,-1080] 2 4032d2 [0,0,0,324,-5616] 2
4032e (2 curves)	0	2+ 3- 7+	2+ 3-  0 7+ -2  2 -4  4
Curve Equation t 4032e1 [0,0,0,-75,-236] 2 4032e2 [0,0,0,60,-992] 2
4032f (4 curves)	0	2+ 3- 7+	2+ 3-  2 7+  0  2 -6  4
Curve Equation t 4032f1 [0,0,0,-264,1640] 2 4032f2 [0,0,0,-444,-880] 4 4032f3 [0,0,0,-5484,-156112] 2 4032f4 [0,0,0,1716,-6928] 2
4032g (4 curves)	0	2+ 3- 7+	2+ 3-  2 7+ -4 -2  6 -8
Curve Equation t 4032g1 [0,0,0,36,-432] 2 4032g2 [0,0,0,-684,-6480] 4 4032g3 [0,0,0,-10764,-429840] 2 4032g4 [0,0,0,-2124,29808] 2
4032h (6 curves)	0	2+ 3- 7+	2+ 3- -2 7+  4  2  6 -4
Curve Equation t 4032h1 [0,0,0,564,1136] 2 4032h2 [0,0,0,-2316,9200] 4 4032h3 [0,0,0,-22476,-1289104] 2 4032h4 [0,0,0,-28236,1823600] 4 4032h5 [0,0,0,-451596,116808176] 2 4032h6 [0,0,0,-19596,2960624] 2
4032i (6 curves)	0	2+ 3- 7+	2+ 3- -2 7+ -4 -6 -2  4
Curve Equation t 4032i1 [0,0,0,-2316,-94736] 2 4032i2 [0,0,0,-48396,-4094480] 4 4032i3 [0,0,0,-774156,-262174736] 2 4032i4 [0,0,0,-59916,-1997840] 4 4032i5 [0,0,0,-526476,145621744] 2 4032i6 [0,0,0,222324,-15432464] 2
4032j (2 curves)	0	2+ 3- 7+	2+ 3-  4 7+  2  6  4  4
Curve Equation t 4032j1 [0,0,0,-48,520] 2 4032j2 [0,0,0,-1308,18160] 2
4032k (2 curves)	0	2+ 3- 7+	2+ 3- -4 7+  2  2  0 -4
Curve Equation t 4032k1 [0,0,0,-3387,59740] 2 4032k2 [0,0,0,7548,365920] 2
4032l (6 curves)	1	2+ 3- 7-	2+ 3-  0 7-  0  4 -6 -2
Curve Equation t Generators 4032l1 [0,0,0,-300,-4048] 2 [184:2484:1] 4032l2 [0,0,0,-6060,-181456] 2 [118:864:1] 4032l3 [0,0,0,2580,84656] 2 [-8:252:1] 4032l4 [0,0,0,-20460,923312] 2 [38:448:1] 4032l5 [0,0,0,-98220,11882288] 2 [88:1980:1] 4032l6 [0,0,0,-1572780,759189296] 2 [1174:23040:1]
4032m (2 curves)	1	2+ 3- 7-	2+ 3-  0 7-  2  2 -4 -4
Curve Equation t Generators 4032m1 [0,0,0,-75,236] 2 [-8:18:1] 4032m2 [0,0,0,60,992] 2 [4:36:1]
4032n (4 curves)	1	2+ 3- 7-	2+ 3-  0 7- -6 -2  0  4
Curve Equation t Generators 4032n1 [0,0,0,240,488] 2 [1:27:1] 4032n2 [0,0,0,-1020,4016] 2 [-8:108:1] 4032n3 [0,0,0,-4080,103304] 2 [10:252:1] 4032n4 [0,0,0,-65820,6499568] 2 [136:252:1]
4032o (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0 -6  2 -4
Curve Equation t Generators 4032o1 [0,0,0,-264,-10712] 2 [54:364:1] 4032o2 [0,0,0,-9084,-331760] 4 [117:455:1] 4032o3 [0,0,0,-145164,-21288080] 2 [4005:252265:1] 4032o4 [0,0,0,-14124,77488] 2 [-34:720:1]
4032p (2 curves)	1	2+ 3- 7-	2+ 3- -4 7-  0  0  2  2
Curve Equation t Generators 4032p1 [0,0,0,-12,880] 2 [6:32:1] 4032p2 [0,0,0,-1452,21040] 2 [6:112:1]
4032q (2 curves)	1	2+ 3- 7-	2+ 3- -4 7- -2  2  0  4
Curve Equation t Generators 4032q1 [0,0,0,-3387,-59740] 2 [-32:126:1] 4032q2 [0,0,0,7548,-365920] 2 [61:567:1]
4032r (2 curves)	0	2- 3+ 7+	2- 3+  0 7+  4 -2  4  0
Curve Equation t 4032r1 [0,0,0,-1755,28296] 2 4032r2 [0,0,0,-1620,32832] 2
4032s (2 curves)	0	2- 3+ 7+	2- 3+  0 7+ -4 -2 -4  0
Curve Equation t 4032s1 [0,0,0,-195,-1048] 2 4032s2 [0,0,0,-180,-1216] 2
4032t (2 curves)	0	2- 3+ 7+	2- 3+  2 7+ -6  6  2  4
Curve Equation t 4032t1 [0,0,0,-24,-40] 2 4032t2 [0,0,0,36,-208] 2
4032u (2 curves)	0	2- 3+ 7+	2- 3+ -2 7+  6  6 -2  4
Curve Equation t 4032u1 [0,0,0,-216,1080] 2 4032u2 [0,0,0,324,5616] 2
4032v (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  4 -2 -4  0
Curve Equation t Generators 4032v1 [0,0,0,-195,1048] 2 [-4:42:1] 4032v2 [0,0,0,-180,1216] 2 [5:21:1]
4032w (2 curves)	1	2- 3+ 7-	2- 3+  0 7- -4 -2  4  0
Curve Equation t Generators 4032w1 [0,0,0,-1755,-28296] 2 [530:3059:8] 4032w2 [0,0,0,-1620,-32832] 2 [76:532:1]
4032x (2 curves)	1	2- 3+ 7-	2- 3+  2 7- -2 -2 -6 -4
Curve Equation t Generators 4032x1 [0,0,0,-24,-72] 2 [9:21:1] 4032x2 [0,0,0,-444,-3600] 2 [37:175:1]
4032y (2 curves)	1	2- 3+ 7-	2- 3+ -2 7-  2 -2  6 -4
Curve Equation t Generators 4032y1 [0,0,0,-216,1944] 2 [9:27:1] 4032y2 [0,0,0,-3996,97200] 2 [-72:108:1]
4032z (6 curves)	1	2- 3- 7+	2- 3-  0 7+  0  4 -6  2
Curve Equation t Generators 4032z1 [0,0,0,-300,4048] 2 [-4:72:1] 4032z2 [0,0,0,-6060,181456] 2 [42:32:1] 4032z3 [0,0,0,2580,-84656] 2 [476:10440:1] 4032z4 [0,0,0,-20460,-923312] 2 [-102:320:1] 4032z5 [0,0,0,-98220,-11882288] 2 [188639332:3256016760:357911] 4032z6 [0,0,0,-1572780,-759189296] 2 [1074370:98477568:125]
4032ba (2 curves)	1	2- 3- 7+	2- 3-  0 7+ -4  4  2  6
Curve Equation t Generators 4032ba1 [0,0,0,60,128] 2 [2:16:1] 4032ba2 [0,0,0,-300,1136] 2 [-10:56:1]
4032bb (4 curves)	1	2- 3- 7+	2- 3-  0 7+  6 -2  0 -4
Curve Equation t Generators 4032bb1 [0,0,0,240,-488] 2 [9:49:1] 4032bb2 [0,0,0,-1020,-4016] 2 [-10:72:1] 4032bb3 [0,0,0,-4080,-103304] 2 [8649:804335:1] 4032bb4 [0,0,0,-65820,-6499568] 2 [302:1080:1]
4032bc (4 curves)	1	2- 3- 7+	2- 3-  2 7+  0 -2 -2 -4
Curve Equation t Generators 4032bc1 [0,0,0,-759,-8048] 2 [322:1305:8] 4032bc2 [0,0,0,-804,-7040] 4 [-18:40:1] 4032bc3 [0,0,0,-4044,92752] 2 [-54:392:1] 4032bc4 [0,0,0,1716,-42320] 2 [45:355:1]
4032bd (4 curves)	1	2- 3- 7+	2- 3-  2 7+  0 -6  2  4
Curve Equation t Generators 4032bd1 [0,0,0,-264,10712] 2 [-14:108:1] 4032bd2 [0,0,0,-9084,331760] 4 [2:560:1] 4032bd3 [0,0,0,-14124,-77488] 2 [-16:380:1] 4032bd4 [0,0,0,-145164,21288080] 2 [245:655:1]
4032be (4 curves)	1	2- 3- 7+	2- 3- -2 7+ -4  6  2 -4
Curve Equation t Generators 4032be1 [0,0,0,-111,-376] 2 [-4:2:1] 4032be2 [0,0,0,-516,4160] 4 [-2:72:1] 4032be3 [0,0,0,-8076,279344] 4 [-98:360:1] 4032be4 [0,0,0,564,19280] 2 [16:180:1]
4032bf (2 curves)	1	2- 3- 7+	2- 3- -4 7+  0  0  2 -2
Curve Equation t Generators 4032bf1 [0,0,0,-12,-880] 2 [26:128:1] 4032bf2 [0,0,0,-1452,-21040] 2 [-22:16:1]
4032bg (2 curves)	0	2- 3- 7-	2- 3-  0 7-  4  4  2 -6
Curve Equation t 4032bg1 [0,0,0,60,-128] 2 4032bg2 [0,0,0,-300,-1136] 2
4032bh (4 curves)	0	2- 3- 7-	2- 3-  2 7-  0  2 -6 -4
Curve Equation t 4032bh1 [0,0,0,-264,-1640] 2 4032bh2 [0,0,0,-444,880] 4 4032bh3 [0,0,0,-5484,156112] 2 4032bh4 [0,0,0,1716,6928] 2
4032bi (4 curves)	0	2- 3- 7-	2- 3-  2 7-  0 -2 -2  4
Curve Equation t 4032bi1 [0,0,0,-759,8048] 2 4032bi2 [0,0,0,-804,7040] 4 4032bi3 [0,0,0,-4044,-92752] 2 4032bi4 [0,0,0,1716,42320] 2
4032bj (4 curves)	0	2- 3- 7-	2- 3-  2 7-  4 -2  6  8
Curve Equation t 4032bj1 [0,0,0,36,432] 2 4032bj2 [0,0,0,-684,6480] 4 4032bj3 [0,0,0,-2124,-29808] 2 4032bj4 [0,0,0,-10764,429840] 2
4032bk (4 curves)	0	2- 3- 7-	2- 3- -2 7-  4  6  2  4
Curve Equation t 4032bk1 [0,0,0,-111,376] 2 4032bk2 [0,0,0,-516,-4160] 4 4032bk3 [0,0,0,-8076,-279344] 2 4032bk4 [0,0,0,564,-19280] 4
4032bl (6 curves)	0	2- 3- 7-	2- 3- -2 7-  4 -6 -2 -4
Curve Equation t 4032bl1 [0,0,0,-2316,94736] 2 4032bl2 [0,0,0,-48396,4094480] 4 4032bl3 [0,0,0,-59916,1997840] 4 4032bl4 [0,0,0,-774156,262174736] 2 4032bl5 [0,0,0,-526476,-145621744] 2 4032bl6 [0,0,0,222324,15432464] 2
4032bm (6 curves)	0	2- 3- 7-	2- 3- -2 7- -4  2  6  4
Curve Equation t 4032bm1 [0,0,0,564,-1136] 2 4032bm2 [0,0,0,-2316,-9200] 4 4032bm3 [0,0,0,-28236,-1823600] 4 4032bm4 [0,0,0,-22476,1289104] 2 4032bm5 [0,0,0,-451596,-116808176] 2 4032bm6 [0,0,0,-19596,-2960624] 2
4032bn (2 curves)	0	2- 3- 7-	2- 3-  4 7- -2  6  4 -4
Curve Equation t 4032bn1 [0,0,0,-48,-520] 2 4032bn2 [0,0,0,-1308,-18160] 2

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