Cremona's table of elliptic curves

59040 = 2⁵ · 3² · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
59040a (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+ -4  5 -2 -1  0
Curve Equation t Generators 59040a1 [0,0,0,7992,1706832] 1 [1656:67500:1]
59040b (1 curve)	0	2+ 3+ 5- 41+	2+ 3+ 5-  5  0  4  2 -5
Curve Equation t 59040b1 [0,0,0,-189987,32055034] 1
59040c (1 curve)	0	2+ 3+ 5- 41+	2+ 3+ 5- -5  0  4  2  5
Curve Equation t 59040c1 [0,0,0,-189987,-32055034] 1
59040d (1 curve)	1	2+ 3+ 5- 41-	2+ 3+ 5-  4  5 -2  1  0
Curve Equation t Generators 59040d1 [0,0,0,888,63216] 1 [52:500:1]
59040e (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0  4 -6  6 -4
Curve Equation t 59040e1 [0,0,0,-6393,-171808] 4 59040e2 [0,0,0,10212,-915712] 2 59040e3 [0,0,0,-26643,1500842] 2 59040e4 [0,0,0,-98643,-11924458] 2
59040f (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0 -4 -6  6  4
Curve Equation t 59040f1 [0,0,0,-6393,171808] 4 59040f2 [0,0,0,10212,915712] 2 59040f3 [0,0,0,-26643,-1500842] 2 59040f4 [0,0,0,-98643,11924458] 2
59040g (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+  2  5  6  3  6
Curve Equation t 59040g1 [0,0,0,-222168,40319408] 1
59040h (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+ -2 -5  6  3 -6
Curve Equation t 59040h1 [0,0,0,-222168,-40319408] 1
59040i (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+  3 -2  0  0  5
Curve Equation t 59040i1 [0,0,0,-20250723,93955851578] 1
59040j (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+ -3  2  0  0 -5
Curve Equation t 59040j1 [0,0,0,-20250723,-93955851578] 1
59040k (2 curves)	2	2+ 3- 5+ 41+	2+ 3- 5+ -4 -4 -2  0  0
Curve Equation t Generators 59040k1 [0,0,0,-93,92] 2 [-8:18:1]&[-7:20:1] 59040k2 [0,0,0,357,722] 2 [2:38:1]&[14:92:1]
59040l (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  0 -2  2 -2  6
Curve Equation t Generators 59040l1 [0,0,0,-2433,46172] 2 [-53:162:1] 59040l2 [0,0,0,-2028,62048] 2 [26:-164:1]
59040m (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+  2 -3 -2 -3 -6
Curve Equation t Generators 59040m1 [0,0,0,3912,-163888] 1 [376:7380:1]
59040n (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  3 -2 -3  6
Curve Equation t Generators 59040n1 [0,0,0,3912,163888] 1 [116:-1476:1]
59040o (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  2  2  6  0 -6
Curve Equation t Generators 59040o1 [0,0,0,-1857,18056] 2 [-13:200:1] 59040o2 [0,0,0,-13107,-564694] 2 [-58:20:1]
59040p (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  2 -2  2 -2 -2
Curve Equation t Generators 59040p1 [0,0,0,-12297,-524864] 2 [33702:251425:216] 59040p2 [0,0,0,-12252,-528896] 2 [533:12015:1]
59040q (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  2 -2  2  4 -2
Curve Equation t Generators 59040q1 [0,0,0,-89697,10339864] 2 [-232:4320:1] 59040q2 [0,0,0,-90147,10230874] 2 [-6270:116576:27]
59040r (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5-  2 -5  2 -5 -2
Curve Equation t Generators 59040r1 [0,0,0,4111368,4873371856] 1 [737:91125:1]
59040s (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  2  6 -2  2 -2
Curve Equation t Generators 59040s1 [0,0,0,-417,2824] 2 [3:40:1] 59040s2 [0,0,0,708,15424] 2 [48:400:1]
59040t (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2  2  2 -2  2
Curve Equation t Generators 59040t1 [0,0,0,-12297,524864] 2 [28:450:1] 59040t2 [0,0,0,-12252,528896] 2 [52:180:1]
59040u (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2  2  2  4  2
Curve Equation t Generators 59040u1 [0,0,0,-89697,-10339864] 2 [-926289700:4662286:5359375] 59040u2 [0,0,0,-90147,-10230874] 2 [-60697:145550:343]
59040v (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -2  6  0  6
Curve Equation t Generators 59040v1 [0,0,0,-1857,-18056] 2 [-12:50:1] 59040v2 [0,0,0,-13107,564694] 2 [-7:810:1]
59040w (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -2  5  2 -5  2
Curve Equation t Generators 59040w1 [0,0,0,4111368,-4873371856] 1 [4388:312500:1]
59040x (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -6 -2  2  2
Curve Equation t Generators 59040x1 [0,0,0,-417,-2824] 2 [-13:20:1] 59040x2 [0,0,0,708,-15424] 2 [32:200:1]
59040y (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  4 -4  4  0  4
Curve Equation t Generators 59040y1 [0,0,0,-417,-1604] 2 [45:266:1] 59040y2 [0,0,0,1428,-11936] 2 [18:140:1]
59040z (2 curves)	0	2+ 3- 5- 41-	2+ 3- 5-  0  6  4  4  6
Curve Equation t 59040z1 [0,0,0,-30477,831404] 2 59040z2 [0,0,0,110148,6343904] 2
59040ba (2 curves)	0	2+ 3- 5- 41-	2+ 3- 5- -2  0  4  6  4
Curve Equation t 59040ba1 [0,0,0,-957,-10244] 2 59040ba2 [0,0,0,1293,-51194] 2
59040bb (1 curve)	2	2+ 3- 5- 41-	2+ 3- 5- -2 -1 -2 -3 -6
Curve Equation t Generators 59040bb1 [0,0,0,-552,14704] 1 [20:108:1]&[-12:140:1]
59040bc (2 curves)	2	2+ 3- 5- 41-	2+ 3- 5- -2 -4 -2 -6  0
Curve Equation t Generators 59040bc1 [0,0,0,-32457,-2027756] 2 [-117:410:1]&[-85:342:1] 59040bc2 [0,0,0,43188,-10076384] 2 [170:1476:1]&[252:4100:1]
59040bd (2 curves)	0	2+ 3- 5- 41-	2+ 3- 5-  4  2  4  4 -6
Curve Equation t 59040bd1 [0,0,0,-477,3996] 2 59040bd2 [0,0,0,-252,7776] 2
59040be (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+  4 -5 -2 -1  0
Curve Equation t 59040be1 [0,0,0,7992,-1706832] 1
59040bf (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+  5  0  4 -2 -5
Curve Equation t Generators 59040bf1 [0,0,0,-1709883,-865485918] 1 [346422342:28080750924:50653]
59040bg (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+ -5  0  4 -2  5
Curve Equation t Generators 59040bg1 [0,0,0,-1709883,865485918] 1 [753:-2214:1]
59040bh (1 curve)	2	2- 3+ 5- 41-	2- 3+ 5- -4 -5 -2  1  0
Curve Equation t Generators 59040bh1 [0,0,0,888,-63216] 1 [33:45:1]&[48:300:1]
59040bi (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2 -2  2  0 -6
Curve Equation t Generators 59040bi1 [0,0,0,-153,-648] 2 [-8:8:1] 59040bi2 [0,0,0,-603,5022] 2 [-23:82:1]
59040bj (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -2  2  2  0  6
Curve Equation t Generators 59040bj1 [0,0,0,-153,648] 2 [-9:36:1] 59040bj2 [0,0,0,-603,-5022] 2 [-14:26:1]
59040bk (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  4  4 -2  0  0
Curve Equation t Generators 59040bk1 [0,0,0,-93,-92] 2 [-9:4:1] 59040bk2 [0,0,0,357,-722] 2 [1478:56826:1]
59040bl (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+  5 -6 -4  0 -7
Curve Equation t Generators 59040bl1 [0,0,0,357,-2558] 1 [14:72:1]
59040bm (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -5  6 -4  0  7
Curve Equation t Generators 59040bm1 [0,0,0,357,2558] 1 [1:54:1]
59040bn (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+  0  2  2 -2 -6
Curve Equation t 59040bn1 [0,0,0,-2433,-46172] 2 59040bn2 [0,0,0,-2028,-62048] 2
59040bo (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+  2 -1  2  5 -2
Curve Equation t 59040bo1 [0,0,0,-85368,-13922192] 1
59040bp (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+ -2  1  2  5  2
Curve Equation t 59040bp1 [0,0,0,-85368,13922192] 1
59040bq (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+  4 -2 -4  2  2
Curve Equation t 59040bq1 [0,0,0,-3873,82928] 2 59040bq2 [0,0,0,-60123,5674178] 2
59040br (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -4  2 -4  2 -2
Curve Equation t 59040br1 [0,0,0,-3873,-82928] 2 59040br2 [0,0,0,-60123,-5674178] 2
59040bs (1 curve)	0	2- 3- 5- 41+	2- 3- 5-  3  2 -4 -4 -7
Curve Equation t 59040bs1 [0,0,0,-23547,-1607906] 1
59040bt (1 curve)	0	2- 3- 5- 41+	2- 3- 5- -3 -2 -4 -4  7
Curve Equation t 59040bt1 [0,0,0,-23547,1607906] 1
59040bu (4 curves)	0	2- 3- 5- 41+	2- 3- 5-  4  0  2  6  4
Curve Equation t 59040bu1 [0,0,0,-46137,3811016] 4 59040bu2 [0,0,0,-35067,5686274] 2 59040bu3 [0,0,0,-57387,1810766] 2 59040bu4 [0,0,0,-738012,244030016] 2
59040bv (4 curves)	0	2- 3- 5- 41+	2- 3- 5- -4  0  2  6 -4
Curve Equation t 59040bv1 [0,0,0,-46137,-3811016] 4 59040bv2 [0,0,0,-35067,-5686274] 2 59040bv3 [0,0,0,-57387,-1810766] 2 59040bv4 [0,0,0,-738012,-244030016] 2
59040bw (2 curves)	0	2- 3- 5- 41+	2- 3- 5- -4  4  4  0 -4
Curve Equation t 59040bw1 [0,0,0,-417,1604] 2 59040bw2 [0,0,0,1428,11936] 2
59040bx (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  0 -6  4  4 -6
Curve Equation t Generators 59040bx1 [0,0,0,-30477,-831404] 2 [-153:500:1] 59040bx2 [0,0,0,110148,-6343904] 2 [302:-7380:1]
59040by (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  2  0  4  6 -4
Curve Equation t Generators 59040by1 [0,0,0,-957,10244] 2 [-32:90:1] 59040by2 [0,0,0,1293,51194] 2 [-22:110:1]
59040bz (1 curve)	1	2- 3- 5- 41-	2- 3- 5-  2  1 -2 -3  6
Curve Equation t Generators 59040bz1 [0,0,0,-552,-14704] 1 [32:20:1]
59040ca (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  2  4 -2 -6  0
Curve Equation t Generators 59040ca1 [0,0,0,-32457,2027756] 2 [-88:2050:1] 59040ca2 [0,0,0,43188,10076384] 2 [568:14760:1]
59040cb (2 curves)	1	2- 3- 5- 41-	2- 3- 5- -4 -2  4  4  6
Curve Equation t Generators 59040cb1 [0,0,0,-477,-3996] 2 [69:540:1] 59040cb2 [0,0,0,-252,-7776] 2 [30:108:1]

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