Cremona's table of elliptic curves

40200 = 2³ · 3 · 5² · 67

Class	r	Atkin-Lehner	Eigenvalues
40200a (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2  0 -6  0  0
Curve Equation t Generators 40200a1 [0,-1,0,-1221408,-519157188] 2 [-26319469166208:-411475646125:41278242816] 40200a2 [0,-1,0,-1226408,-514687188] 2 [-175425472:-636252975:262144]
40200b (1 curve)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2 -6  0 -3 -3
Curve Equation t Generators 40200b1 [0,-1,0,-3,72] 1 [3:-9:1]
40200c (1 curve)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  4  0  2  2 -1
Curve Equation t Generators 40200c1 [0,-1,0,-73,397] 1 [1:18:1]
40200d (1 curve)	2	2+ 3+ 5+ 67-	2+ 3+ 5+  0  2 -6 -3 -4
Curve Equation t Generators 40200d1 [0,-1,0,-15233,728997] 1 [-127:774:1]&[143:-1206:1]
40200e (1 curve)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  1  3 -2  2  6
Curve Equation t 40200e1 [0,-1,0,-2008,-55988] 1
40200f (1 curve)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -4 -2 -3  4  2
Curve Equation t 40200f1 [0,-1,0,-15208,666412] 1
40200g (1 curve)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -4  4  6  7 -7
Curve Equation t 40200g1 [0,-1,0,-288062708,-1881726588588] 1
40200h (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -4  6  2  0 -4
Curve Equation t 40200h1 [0,-1,0,992,94012] 2 40200h2 [0,-1,0,-26008,1552012] 2
40200i (1 curve)	1	2+ 3+ 5- 67-	2+ 3+ 5-  0  2  4 -3  1
Curve Equation t Generators 40200i1 [0,-1,0,-208,-23588] 1 [42:200:1]
40200j (1 curve)	1	2+ 3+ 5- 67-	2+ 3+ 5-  4  0 -2  1  3
Curve Equation t Generators 40200j1 [0,-1,0,-83,-288] 1 [11:3:1]
40200k (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+  0 -5  3  0 -3
Curve Equation t 40200k1 [0,1,0,-88,-592] 1
40200l (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+ -2  6  4  1  1
Curve Equation t 40200l1 [0,1,0,2587917,-2067097662] 1
40200m (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+ -2  2 -2  7  1
Curve Equation t Generators 40200m1 [0,1,0,-199633,34265363] 1 [263:150:1]
40200n (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  4 -4 -2 -2  4
Curve Equation t Generators 40200n1 [0,1,0,-22508,-988512] 2 [-2256471:-6171200:19683] 40200n2 [0,1,0,-335008,-74738512] 4 [107183140795972:2587945792320000:107782217479] 40200n3 [0,1,0,-310008,-86338512] 2 [102313917:12487567200:6859] 40200n4 [0,1,0,-5360008,-4778138512] 2 [789354401720016158936896:-39231186296131936110779019:193797352243451920384]
40200o (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  4 -4 -2 -5  1
Curve Equation t Generators 40200o1 [0,1,0,732,1008] 1 [12:108:1]
40200p (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  2  2 -4  3 -1
Curve Equation t Generators 40200p1 [0,1,0,-24708,1487088] 1 [108:300:1]
40200q (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5-  2  0 -1  6  2
Curve Equation t 40200q1 [0,1,0,-91208,10559088] 1
40200r (1 curve)	2	2+ 3- 5- 67-	2+ 3- 5- -2  0 -6 -5 -5
Curve Equation t Generators 40200r1 [0,1,0,-498208,141775088] 1 [-721:11256:1]&[-292:16200:1]
40200s (1 curve)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  0  6  5 -5
Curve Equation t 40200s1 [0,-1,0,-19928,1142172] 1
40200t (1 curve)	0	2- 3+ 5+ 67+	2- 3+ 5+ -2  0  1 -6  2
Curve Equation t 40200t1 [0,-1,0,-3648,85932] 1
40200u (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  4  0  4  0 -4
Curve Equation t 40200u1 [0,-1,0,-1508,-20988] 2 40200u2 [0,-1,0,992,-85988] 2
40200v (2 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+  2 -4 -4 -6 -4
Curve Equation t Generators 40200v1 [0,-1,0,-1608,25212] 2 [17:50:1] 40200v2 [0,-1,0,-608,55212] 2 [57:450:1]
40200w (1 curve)	1	2- 3+ 5+ 67-	2- 3+ 5+ -2  2  4 -3 -1
Curve Equation t Generators 40200w1 [0,-1,0,-988,12292] 1 [16:18:1]
40200x (4 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+  4 -4 -2  6 -4
Curve Equation t Generators 40200x1 [0,-1,0,-41908,-3288188] 2 [1572:61750:1] 40200x2 [0,-1,0,-42408,-3205188] 4 [3453814:-135660000:2197] 40200x3 [0,-1,0,24592,-12451188] 2 [10105051447:-157330820556:33698267] 40200x4 [0,-1,0,-117408,11344812] 2 [-38658:1113875:216]
40200y (4 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+ -4 -4 -6  2 -4
Curve Equation t Generators 40200y1 [0,-1,0,-15908,-760188] 2 [-68:50:1] 40200y2 [0,-1,0,-28408,614812] 4 [182:1200:1] 40200y3 [0,-1,0,106592,4664812] 2 [106:19725:8] 40200y4 [0,-1,0,-363408,84364812] 2 [15978:684531:8]
40200z (1 curve)	1	2- 3+ 5- 67+	2- 3+ 5- -4 -4  2  5  1
Curve Equation t Generators 40200z1 [0,-1,0,18292,89412] 1 [8:486:1]
40200ba (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  0 -5 -3  0 -3
Curve Equation t 40200ba1 [0,-1,0,-2208,-69588] 1
40200bb (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  2  6 -4 -1  1
Curve Equation t 40200bb1 [0,-1,0,103517,-16578188] 1
40200bc (4 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0  0 -2 -2 -4
Curve Equation t Generators 40200bc1 [0,1,0,92,142688] 4 [-37:300:1] 40200bc2 [0,1,0,-40408,3058688] 4 [152:672:1] 40200bc3 [0,1,0,-85408,-5041312] 2 [527:9828:1] 40200bc4 [0,1,0,-643408,198430688] 2 [29828:7833:64]
40200bd (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  0  2 -4  3  1
Curve Equation t Generators 40200bd1 [0,1,0,-8,-192] 1 [7:12:1]
40200be (4 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0 -4  2  6  4
Curve Equation t Generators 40200be1 [0,1,0,13217,8400938] 2 [-157:1575:1] 40200be2 [0,1,0,-547908,150926688] 4 [-762:11250:1] 40200be3 [0,1,0,-1385408,-421923312] 2 [-896:10044:1] 40200be4 [0,1,0,-8688408,9854402688] 2 [1704:144:1]
40200bf (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+  2  0  2 -4  0
Curve Equation t Generators 40200bf1 [0,1,0,-344008,11823488] 2 [-37:4950:1] 40200bf2 [0,1,0,-3469008,-2475676512] 2 [39546:2544861:8]
40200bg (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  4 -6  4  3 -7
Curve Equation t Generators 40200bg1 [0,1,0,-633,6363] 1 [33:150:1]
40200bh (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+ -4  0  2 -1  3
Curve Equation t Generators 40200bh1 [0,1,0,-2083,-40162] 1 [167:2073:1]
40200bi (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+  2 -4 -6 -4  0
Curve Equation t 40200bi1 [0,1,0,-2008,-32512] 2 40200bi2 [0,1,0,-7008,187488] 2
40200bj (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  0  2  6  3 -4
Curve Equation t 40200bj1 [0,1,0,-380833,90362963] 1
40200bk (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  4 -2  3 -4  2
Curve Equation t 40200bk1 [0,1,0,-608,5088] 1
40200bl (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  4  4 -6 -7 -7
Curve Equation t 40200bl1 [0,1,0,-11522508,-15058421712] 1
40200bm (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -2 -6  0  3 -3
Curve Equation t Generators 40200bm1 [0,1,0,-83,8838] 1 [-17:75:1]
40200bn (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -4  0 -2 -2 -1
Curve Equation t Generators 40200bn1 [0,1,0,-1833,45963] 1 [33:150:1]

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