Cremona's table of elliptic curves

15870 = 2 · 3 · 5 · 23²

Class	r	Atkin-Lehner	Eigenvalues
15870a (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  1  3 -2  0  2
Curve Equation t 15870a1 [1,1,0,-11913,-531933] 1
15870b (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  1 -5  6  8 -6
Curve Equation t 15870b1 [1,1,0,-33073,3675733] 1
15870c (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  2 -2 -2  0 -8
Curve Equation t 15870c1 [1,1,0,-12049308,1105276509648] 2 15870c2 [1,1,0,-1678018428,26125133947632] 2
15870d (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -4 -2  4  6  4
Curve Equation t 15870d1 [1,1,0,-6623,372657] 2 15870d2 [1,1,0,-128293,17625463] 2
15870e (1 curve)	1	2+ 3+ 5- 23-	2+ 3+ 5- -1 -3 -2  0 -2
Curve Equation t Generators 15870e1 [1,1,0,-22,34] 1 [3:1:1]
15870f (1 curve)	1	2+ 3+ 5- 23-	2+ 3+ 5- -1  5  6 -8  6
Curve Equation t Generators 15870f1 [1,1,0,-17495892,-44897601456] 1 [10035671652521997898519726976543:3072956566115470814798677601399506:106472060419979548108984051]
15870g (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  2 -6 -2  0  4
Curve Equation t Generators 15870g1 [1,1,0,90713,24852661] 2 [427:11689:1] 15870g2 [1,1,0,-924967,299695669] 2 [-907:20291:1]
15870h (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5- -4  2  0 -2  0
Curve Equation t Generators 15870h1 [1,1,0,88068,5103504] 2 [65280:3202724:27] 15870h2 [1,1,0,-398612,42772536] 2 [-585:9021:1]
15870i (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  0  4  0 -6
Curve Equation t Generators 15870i1 [1,0,1,-1679,-26494] 2 [-24:22:1] 15870i2 [1,0,1,-2599,5522] 2 [-44:209:1]
15870j (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -4 -2 -2  0
Curve Equation t Generators 15870j1 [1,0,1,-6624,-113618] 2 [-1554:8293:27] 15870j2 [1,0,1,-48944,4084526] 4 [108:193:1] 15870j3 [1,0,1,-778964,264555662] 2 [-784:20229:1] 15870j4 [1,0,1,3956,12463886] 2 [-209:1691:1]
15870k (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  1  3 -4  6 -2
Curve Equation t Generators 15870k1 [1,0,1,-874,-34084] 1 [48:163:1] 15870k2 [1,0,1,7751,849116] 1 [-306:5789:8]
15870l (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+ -1  3  2  0 -4
Curve Equation t Generators 15870l1 [1,0,1,1311,-46964] 3 [98:963:1] 15870l2 [1,0,1,-70104,-7159898] 1 [3958:69267:8]
15870m (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  3 -1 -6  0  4
Curve Equation t Generators 15870m1 [1,0,1,-133584,28249246] 1 [6456:82111:27]
15870n (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -3 -1  4 -2  6
Curve Equation t Generators 15870n1 [1,0,1,46,2] 1 [6:19:1]
15870o (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  0  4  0  6
Curve Equation t 15870o1 [1,0,1,-887938,320573588] 2 15870o2 [1,0,1,-1374618,-69938444] 2
15870p (4 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4 -6  6 -4
Curve Equation t 15870p1 [1,0,1,-319263,69124018] 2 15870p2 [1,0,1,-488543,-12198094] 4 15870p3 [1,0,1,-5630423,-5131453822] 2 15870p4 [1,0,1,1944857,-96880414] 2
15870q (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  1 -3  2  0  4
Curve Equation t 15870q1 [1,0,1,693772,572795498] 1 15870q2 [1,0,1,-37084763,87040306406] 1
15870r (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5- -1 -3 -4 -6  2
Curve Equation t 15870r1 [1,0,1,-462093,413772808] 3 15870r2 [1,0,1,4100532,-10322996342] 1
15870s (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  3  1  4  2 -6
Curve Equation t 15870s1 [1,0,1,24587,21806] 1
15870t (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -3  1 -6  0 -4
Curve Equation t 15870t1 [1,0,1,-253,-2344] 1
15870u (8 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  4  0  2 -6  4
Curve Equation t 15870u1 [1,0,1,782,-25804] 2 15870u2 [1,0,1,-9798,-338972] 4 15870u3 [1,0,1,-7153,761348] 2 15870u4 [1,0,1,-152628,-22963244] 2 15870u5 [1,0,1,-36248,2284868] 2 15870u6 [1,0,1,-176433,28455556] 4 15870u7 [1,0,1,-239913,6135988] 2 15870u8 [1,0,1,-2821433,1823881556] 2
15870v (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  0 -4  4  4 -2
Curve Equation t Generators 15870v1 [1,1,1,-33258241,73553773823] 2 [2559:70912:1] 15870v2 [1,1,1,-531618561,4717673923839] 2 [10271:578880:1]
15870w (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  0  6 -6  4 -2
Curve Equation t Generators 15870w1 [1,1,1,-126,-777] 2 [21:69:1] 15870w2 [1,1,1,-2196,-40521] 2 [582:3205:8]
15870x (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+  3  3  0  2 -6
Curve Equation t Generators 15870x1 [1,1,1,-11,2489] 1 [59:430:1]
15870y (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+ -5 -5  0  2 -6
Curve Equation t Generators 15870y1 [1,1,1,35485309,126344805113] 1 [901125053:367283565512:912673]
15870z (4 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  0  6 -2  0
Curve Equation t 15870z1 [1,1,1,-2375750,2503168067] 4 15870z2 [1,1,1,-45711430,118885470275] 4 15870z3 [1,1,1,-53498310,75609105987] 2 15870z4 [1,1,1,-731295430,7611495889475] 2
15870ba (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  4  4 -4  2
Curve Equation t 15870ba1 [1,1,1,-62870,-6072685] 2 15870ba2 [1,1,1,-1004950,-388180333] 2
15870bb (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0 -6 -6 -4  2
Curve Equation t 15870bb1 [1,1,1,-66665,8784947] 2 15870bb2 [1,1,1,-1161695,481399895] 2
15870bc (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  2  2 -6  4  0
Curve Equation t 15870bc1 [1,1,1,2105,-333955] 2 15870bc2 [1,1,1,-61375,-5640883] 2
15870bd (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5- -3 -3  0 -2  6
Curve Equation t 15870bd1 [1,1,1,-5830,-30344125] 1
15870be (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  5  5  0 -2  6
Curve Equation t 15870be1 [1,1,1,67080,-10355055] 1
15870bf (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  2  4 -6  8
Curve Equation t 15870bf1 [1,0,0,-129616,18027776] 2 15870bf2 [1,0,0,-2076336,1151408160] 2
15870bg (6 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0 -4 -2  6 -4
Curve Equation t 15870bg1 [1,0,0,-222191,-44245575] 4 15870bg2 [1,0,0,-3650111,-2684429559] 4 15870bg3 [1,0,0,-58401611,-171789912459] 2 15870bg4 [1,0,0,-3745331,-2537009955] 4 15870bg5 [1,0,0,-13664081,16651803795] 2 15870bg6 [1,0,0,4649899,-12290588169] 2
15870bh (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -1 -3 -4  6  8
Curve Equation t 15870bh1 [1,0,0,140174,34043780] 3 15870bh2 [1,0,0,-1319866,-1184505604] 1
15870bi (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3  5  0 -6  4
Curve Equation t 15870bi1 [1,0,0,-679630116,-7085668316400] 1
15870bj (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4  2  2  0 -2
Curve Equation t 15870bj1 [1,0,0,383514,-16960284] 2 15870bj2 [1,0,0,-1563206,-137267580] 2
15870bk (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  0 -2  0 -6 -4
Curve Equation t Generators 15870bk1 [1,0,0,70875,7490625] 2 [320:7775:1] 15870bk2 [1,0,0,-415805,71440377] 2 [964:23323:1]
15870bl (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  1  3 -4 -6 -8
Curve Equation t Generators 15870bl1 [1,0,0,265,-2775] 1 [10:25:1] 15870bl2 [1,0,0,-2495,97137] 1 [-36:393:1]
15870bm (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -3 -5  0  6 -4
Curve Equation t Generators 15870bm1 [1,0,0,-1284745,582256025] 1 [-70:-25885:1]
15870bn (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -4 -2  2  0  2
Curve Equation t Generators 15870bn1 [1,0,0,725,1457] 2 [14:113:1] 15870bn2 [1,0,0,-2955,11025] 2 [-30:285:1]

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