Cremona's table of elliptic curves

29520 = 2⁴ · 3² · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
29520a (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  3  4  0  2 -1
Curve Equation t Generators 29520a1 [0,0,0,-3,162] 1 [-3:12:1]
29520b (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+ -2  5  4  5 -4
Curve Equation t 29520b1 [0,0,0,-338748,-76397828] 1
29520c (1 curve)	0	2+ 3+ 5- 41+	2+ 3+ 5- -2 -5  4 -5 -4
Curve Equation t 29520c1 [0,0,0,-3048732,2062741356] 1
29520d (1 curve)	1	2+ 3+ 5- 41-	2+ 3+ 5-  3 -4  0 -2 -1
Curve Equation t Generators 29520d1 [0,0,0,-27,-4374] 1 [135:1566:1]
29520e (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0  0  2 -6 -8
Curve Equation t 29520e1 [0,0,0,-858,7567] 2 29520e2 [0,0,0,-4503,-109802] 4 29520e3 [0,0,0,3597,-461342] 2 29520e4 [0,0,0,-70923,-7269878] 2
29520f (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0  4  2  2 -4
Curve Equation t 29520f1 [0,0,0,-5538,158627] 2 29520f2 [0,0,0,-5583,155918] 4 29520f3 [0,0,0,1797,538202] 2 29520f4 [0,0,0,-13683,-399742] 2
29520g (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0  4  6  2 -4
Curve Equation t 29520g1 [0,0,0,-423,-378] 2 29520g2 [0,0,0,-4923,-132678] 4 29520g3 [0,0,0,-3123,-230958] 2 29520g4 [0,0,0,-78723,-8501598] 2
29520h (2 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+ -2 -2 -2  4  2
Curve Equation t 29520h1 [0,0,0,-281763,-46378062] 2 29520h2 [0,0,0,-1406763,600946938] 2
29520i (2 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+ -2 -2  6  0  2
Curve Equation t 29520i1 [0,0,0,-10083,-389518] 2 29520i2 [0,0,0,-11883,-240838] 2
29520j (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  4  0 -2  2 -8
Curve Equation t 29520j1 [0,0,0,-10263,399062] 2 29520j2 [0,0,0,-14763,14762] 4 29520j3 [0,0,0,59037,118082] 2 29520j4 [0,0,0,-160563,-24683758] 2
29520k (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+  1  2  4 -4 -7
Curve Equation t Generators 29520k1 [0,0,0,-9003,-346502] 1 [191:2214:1]
29520l (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  2  0  0 -8  0
Curve Equation t Generators 29520l1 [0,0,0,-498,-3553] 2 [-411:604:27] 29520l2 [0,0,0,-2343,40358] 2 [-47:216:1]
29520m (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  0  0  4  8
Curve Equation t Generators 29520m1 [0,0,0,-183,-682] 2 [-7:16:1] 29520m2 [0,0,0,-1083,13178] 2 [-19:164:1]
29520n (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  4  4 -2  8
Curve Equation t Generators 29520n1 [0,0,0,-206163,36028962] 2 [259:82:1] 29520n2 [0,0,0,-197163,39317562] 2 [-399:7380:1]
29520o (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  4 -4 -6  0
Curve Equation t Generators 29520o1 [0,0,0,-792003,-270957998] 2 [-13479:2690:27] 29520o2 [0,0,0,-567003,-428142998] 2 [1001:2700:1]
29520p (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2 -4  4 -4 -4
Curve Equation t Generators 29520p1 [0,0,0,-138,403] 2 [3:4:1] 29520p2 [0,0,0,-1983,33982] 2 [17:72:1]
29520q (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -4  6 -4  6 -6
Curve Equation t Generators 29520q1 [0,0,0,-723,-3422] 2 [-21:50:1] 29520q2 [0,0,0,-9723,-368822] 2 [-57:14:1]
29520r (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2  6 -2  4 -2
Curve Equation t Generators 29520r1 [0,0,0,-1227,-16054] 2 [-19:20:1] 29520r2 [0,0,0,-3027,41906] 2 [-35:324:1]
29520s (2 curves)	0	2+ 3- 5- 41-	2+ 3- 5-  4 -2 -4  8  2
Curve Equation t 29520s1 [0,0,0,-1047,12886] 2 29520s2 [0,0,0,-147,34306] 2
29520t (1 curve)	0	2+ 3- 5- 41-	2+ 3- 5-  4  3 -4 -7  2
Curve Equation t 29520t1 [0,0,0,-732,-9556] 1
29520u (2 curves)	0	2+ 3- 5- 41-	2+ 3- 5- -4 -6  0  4  6
Curve Equation t 29520u1 [0,0,0,-88167,-10066426] 2 29520u2 [0,0,0,-65667,-15326926] 2
29520v (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+  2 -3  4 -5  0
Curve Equation t 29520v1 [0,0,0,-768,-8208] 1
29520w (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+ -2  3 -4  3 -8
Curve Equation t 29520w1 [0,0,0,-110688,-14174212] 1 29520w2 [0,0,0,-109728,-14432148] 1
29520x (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+  5  0  4 -2  3
Curve Equation t 29520x1 [0,0,0,-39963,3681738] 1
29520y (2 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+  1  0 -4  6  1
Curve Equation t Generators 29520y1 [0,0,0,957,-23998] 1 [79:738:1] 29520y2 [0,0,0,-8883,770418] 1 [87:810:1]
29520z (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+ -1  4  0 -6 -7
Curve Equation t Generators 29520z1 [0,0,0,-3090123,-2090796678] 1 [2278437:3439183968:1]
29520ba (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+  2  1  0 -3 -4
Curve Equation t Generators 29520ba1 [0,0,0,432,108] 1 [6:54:1]
29520bb (2 curves)	1	2- 3+ 5- 41+	2- 3+ 5-  1  0 -4 -6  1
Curve Equation t Generators 29520bb1 [0,0,0,-987,-28534] 1 [157:1920:1] 29520bb2 [0,0,0,8613,647946] 1 [141:2160:1]
29520bc (1 curve)	1	2- 3+ 5- 41+	2- 3+ 5- -1 -4  0  6 -7
Curve Equation t Generators 29520bc1 [0,0,0,-343347,77436914] 1 [343:150:1]
29520bd (1 curve)	1	2- 3+ 5- 41+	2- 3+ 5-  2 -1  0  3 -4
Curve Equation t Generators 29520bd1 [0,0,0,48,-4] 1 [2:10:1]
29520be (1 curve)	0	2- 3+ 5- 41-	2- 3+ 5-  2  3  4  5  0
Curve Equation t 29520be1 [0,0,0,-6912,221616] 1
29520bf (2 curves)	2	2- 3+ 5- 41-	2- 3+ 5- -2 -3 -4 -3 -8
Curve Equation t Generators 29520bf1 [0,0,0,-12192,534524] 1 [218:2870:1]&[58:-150:1] 29520bf2 [0,0,0,-996192,382703724] 1 [-210:24138:1]&[573:135:1]
29520bg (1 curve)	0	2- 3+ 5- 41-	2- 3+ 5-  5  0  4  2  3
Curve Equation t 29520bg1 [0,0,0,-359667,-99406926] 1
29520bh (8 curves)	1	2- 3- 5+ 41+	2- 3- 5+  0  4 -2 -2  4
Curve Equation t Generators 29520bh1 [0,0,0,-704163,227205538] 2 [-961:4050:1] 29520bh2 [0,0,0,-888483,98955682] 4 [146179:2187648:1331] 29520bh3 [0,0,0,3362397,771444898] 2 [-1457930286099:-46428533593750:6848175699] 29520bh4 [0,0,0,-8088483,-8781524318] 4 [-186896115770071:-273302468128800:122689385209] 29520bh5 [0,0,0,-2256483,-21183855518] 2 [3841305941051401581:-61600141953301226678:1225695708887859] 29520bh6 [0,0,0,-129120483,-564729913118] 4 [-781150241646844499331:-12923304731327905622:119045387778907491] 29520bh7 [0,0,0,-128825283,-567440616638] 2 [340866946685069278979161867058325451689:-19245570385952689305822776200274644225742:23287426150656715312508108707733991] 29520bh8 [0,0,0,-2065927683,-36142716092798] 2 [-363083830537636281018548322442613094372153711:-196122677673534809731734227423381465822:13835981669023583397882369500911268184351]
29520bi (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2  2 -2  4 -2
Curve Equation t Generators 29520bi1 [0,0,0,-21963,-367238] 2 [-123:688:1] 29520bi2 [0,0,0,-201963,34660762] 2 [-451:5832:1]
29520bj (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2 -6 -2 -8  6
Curve Equation t Generators 29520bj1 [0,0,0,-2043,28458] 2 [13:64:1] 29520bj2 [0,0,0,-30843,2084778] 2 [61:656:1]
29520bk (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -3 -2  4  4 -5
Curve Equation t Generators 29520bk1 [0,0,0,-3,26242] 1 [-1:162:1]
29520bl (4 curves)	1	2- 3- 5+ 41+	2- 3- 5+  4  0 -2  6  0
Curve Equation t Generators 29520bl1 [0,0,0,-3123,67122] 2 [-39:360:1] 29520bl2 [0,0,0,-3843,33858] 4 [-41:350:1] 29520bl3 [0,0,0,14157,260658] 2 [31:854:1] 29520bl4 [0,0,0,-33363,-2321838] 2 [327:4662:1]
29520bm (4 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -4  0 -2 -2  0
Curve Equation t Generators 29520bm1 [0,0,0,-199683,-32568318] 2 [-209:190:1] 29520bm2 [0,0,0,-3148803,-2150626302] 4 [-7036859:-171350:6859] 29520bm3 [0,0,0,-3102723,-2216622078] 2 [176809412963:2239018716250:83453453] 29520bm4 [0,0,0,-50380803,-137640341502] 2 [-92980431041119:-527485726:22689222191]
29520bn (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -1 -2  0 -4  1
Curve Equation t 29520bn1 [0,0,0,331917,-27936718] 1 29520bn2 [0,0,0,-173094483,-876542471278] 1
29520bo (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+  2  0 -4  6  4
Curve Equation t 29520bo1 [0,0,0,-7563,-81862] 2 29520bo2 [0,0,0,28437,-636262] 2
29520bp (4 curves)	2	2- 3- 5+ 41-	2- 3- 5+ -2  0 -4  0 -8
Curve Equation t Generators 29520bp1 [0,0,0,-24123,1417322] 2 [109:288:1]&[-17:1350:1] 29520bp2 [0,0,0,-384123,91633322] 2 [-83:11088:1]&[317:1312:1] 29520bp3 [0,0,0,-222123,-39683878] 2 [-289:610:1]&[-281:738:1] 29520bp4 [0,0,0,-452523,56761562] 2 [-491:12672:1]&[-427:13120:1]
29520bq (2 curves)	2	2- 3- 5+ 41-	2- 3- 5+ -2  0 -4 -4  0
Curve Equation t Generators 29520bq1 [0,0,0,-363,-38] 2 [-9:50:1]&[-3:32:1] 29520bq2 [0,0,0,-3963,95722] 2 [-43:432:1]&[-3:328:1]
29520br (4 curves)	0	2- 3- 5+ 41-	2- 3- 5+  4  6  2  6 -2
Curve Equation t 29520br1 [0,0,0,-13188,-516013] 2 29520br2 [0,0,0,19617,-2674582] 2 29520br3 [0,0,0,-1033788,-404571553] 2 29520br4 [0,0,0,-1033383,-404904382] 2
29520bs (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -4 -2  6  2 -2
Curve Equation t 29520bs1 [0,0,0,-588,5447] 2 29520bs2 [0,0,0,-183,12818] 2
29520bt (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+ -4  3 -4 -3 -2
Curve Equation t 29520bt1 [0,0,0,-16837248,-26592383572] 1
29520bu (1 curve)	0	2- 3- 5- 41+	2- 3- 5-  0 -1 -4  3  6
Curve Equation t 29520bu1 [0,0,0,11328,-414736] 1
29520bv (4 curves)	0	2- 3- 5- 41+	2- 3- 5-  0 -4  2  6  0
Curve Equation t 29520bv1 [0,0,0,-1227,132986] 2 29520bv2 [0,0,0,-47307,3939194] 4 29520bv3 [0,0,0,-76107,-1423366] 2 29520bv4 [0,0,0,-755787,252899066] 2
29520bw (2 curves)	0	2- 3- 5- 41+	2- 3- 5-  2  2  6  0  2
Curve Equation t 29520bw1 [0,0,0,-7589667,7728183074] 2 29520bw2 [0,0,0,-120089667,506530683074] 2
29520bx (2 curves)	0	2- 3- 5- 41+	2- 3- 5-  2  2 -6  6  2
Curve Equation t 29520bx1 [0,0,0,-2307,2306] 2 29520bx2 [0,0,0,9213,18434] 2
29520by (2 curves)	0	2- 3- 5- 41+	2- 3- 5-  2 -2  2 -4  6
Curve Equation t 29520by1 [0,0,0,-8787,187666] 2 29520by2 [0,0,0,-123987,16799506] 2
29520bz (2 curves)	0	2- 3- 5- 41+	2- 3- 5- -2  6  2 -2  6
Curve Equation t 29520bz1 [0,0,0,-3027,-64046] 2 29520bz2 [0,0,0,-2307,-95294] 2
29520ca (1 curve)	0	2- 3- 5- 41+	2- 3- 5- -3  2 -4  0 -3
Curve Equation t 29520ca1 [0,0,0,-3027,-64366] 1
29520cb (2 curves)	0	2- 3- 5- 41+	2- 3- 5- -4 -4  0  0 -4
Curve Equation t 29520cb1 [0,0,0,-10812,-432529] 2 29520cb2 [0,0,0,-8967,-584926] 2
29520cc (2 curves)	0	2- 3- 5- 41+	2- 3- 5- -4 -4  4  4  4
Curve Equation t 29520cc1 [0,0,0,-3252,-71021] 2 29520cc2 [0,0,0,-1407,-151094] 2
29520cd (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  0  2  0  0 -2
Curve Equation t Generators 29520cd1 [0,0,0,-867,-5726] 2 [-25:18:1] 29520cd2 [0,0,0,2733,-41006] 2 [15:58:1]
29520ce (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  1  6 -4  0 -5
Curve Equation t Generators 29520ce1 [0,0,0,17493,25491674] 1 [565:14688:1] 29520ce2 [0,0,0,-157467,-689009974] 1 [5245:377856:1]
29520cf (4 curves)	1	2- 3- 5- 41-	2- 3- 5-  4 -6 -4  0 -2
Curve Equation t Generators 29520cf1 [0,0,0,-74307,6295106] 2 [-65:3294:1] 29520cf2 [0,0,0,156093,37583426] 2 [5925:245098:27] 29520cf3 [0,0,0,-1836867,-957659326] 2 [-785:738:1] 29520cf4 [0,0,0,-1476867,-1344227326] 2 [3215:164738:1]

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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