Cremona's table of elliptic curves

56870 = 2 · 5 · 11² · 47

Class	r	Atkin-Lehner	Eigenvalues
56870a (2 curves)	1	2+ 5+ 11+ 47+	2+  0 5+  0 11+  4 -6 -4
Curve Equation t Generators 56870a1 [1,-1,0,-155810,23537300] 2 [3812:232214:1] 56870a2 [1,-1,0,-49330,55076676] 2 [-392:3946:1]
56870b (1 curve)	1	2+ 5+ 11+ 47+	2+  3 5+  3 11+ -2 -3 -1
Curve Equation t Generators 56870b1 [1,-1,0,-3401446615,-76358146495075] 1 [9274201927681495917930570005105872753639502586134193373394628813796344644743288373382558827352893532641404409303265816100448721356841000021003:5931309061519056877928866916725409087660287876882466858925923804028835867600222496160637121865219415143267402601149368598860009003974835124389951:22174712429228968883414414521437827868202980836889542889458213548512827204578667750711847158071203713337550396929183635501548909552703739]
56870c (1 curve)	2	2+ 5+ 11+ 47-	2+  0 5+  1 11+ -5 -4 -4
Curve Equation t Generators 56870c1 [1,-1,0,-710,9400] 1 [-30:70:1]&[18:38:1]
56870d (2 curves)	0	2+ 5+ 11- 47+	2+  1 5+ -5 11- -5  0  7
Curve Equation t 56870d1 [1,0,1,-4359,-110838] 1 56870d2 [1,0,1,-21299,1102066] 1
56870e (1 curve)	1	2+ 5+ 11- 47-	2+  0 5+  0 11-  3  0  8
Curve Equation t Generators 56870e1 [1,-1,0,-48725,-4979375] 1 [333:3788:1]
56870f (1 curve)	1	2+ 5+ 11- 47-	2+ -1 5+  3 11-  1 -2  1
Curve Equation t Generators 56870f1 [1,1,0,-1333,-18883] 1 [-22:31:1]
56870g (2 curves)	1	2+ 5+ 11- 47-	2+ -2 5+  2 11- -1  0  2
Curve Equation t Generators 56870g1 [1,0,1,-31584,8400302] 3 [1774:27181:8] 56870g2 [1,0,1,281201,-213551934] 1 [1777090:41646123:2744]
56870h (1 curve)	2	2+ 5- 11+ 47+	2+  0 5- -3 11+  1  0 -4
Curve Equation t Generators 56870h1 [1,-1,0,5131,129333] 1 [47:-711:1]&[122:1539:1]
56870i (1 curve)	2	2+ 5- 11+ 47+	2+ -3 5-  3 11+ -2 -3 -7
Curve Equation t Generators 56870i1 [1,-1,0,-7684,261190] 1 [41:-138:1]&[-19:642:1]
56870j (1 curve)	1	2+ 5- 11- 47+	2+  0 5-  4 11-  1  4  4
Curve Equation t Generators 56870j1 [1,-1,0,-127859,-17570635] 1 [5881:447177:1]
56870k (1 curve)	1	2+ 5- 11- 47+	2+  2 5-  2 11-  5  4 -2
Curve Equation t Generators 56870k1 [1,1,0,-2,356] 1 [-5:19:1]
56870l (1 curve)	1	2+ 5- 11- 47+	2+ -3 5-  3 11-  1  8  5
Curve Equation t Generators 56870l1 [1,-1,0,-14119,-145667] 1 [-18:329:1]
56870m (2 curves)	0	2- 5+ 11+ 47+	2-  0 5+  0 11+ -4  6  4
Curve Equation t 56870m1 [1,-1,1,-1288,-17333] 2 56870m2 [1,-1,1,-408,-41269] 2
56870n (1 curve)	0	2- 5+ 11+ 47+	2-  3 5+ -3 11+  2  3  1
Curve Equation t 56870n1 [1,-1,1,-411575040438,101633927710066117] 1
56870o (1 curve)	1	2- 5+ 11+ 47-	2-  0 5+ -1 11+  5  4  4
Curve Equation t Generators 56870o1 [1,-1,1,-85933,-12253623] 1 [30494:1861459:8]
56870p (1 curve)	1	2- 5+ 11- 47+	2-  1 5+  1 11-  5 -2  7
Curve Equation t Generators 56870p1 [1,0,0,-5266,-146684] 1 [-42:50:1]
56870q (1 curve)	1	2- 5+ 11- 47+	2- -2 5+  1 11-  5  4  4
Curve Equation t Generators 56870q1 [1,0,0,2599,-798995] 1 [2654:47073:8]
56870r (1 curve)	0	2- 5+ 11- 47-	2-  0 5+  0 11- -3  0 -8
Curve Equation t 56870r1 [1,-1,1,-5895748,6645235347] 1
56870s (4 curves)	0	2- 5+ 11- 47-	2-  0 5+  0 11-  6 -6  4
Curve Equation t 56870s1 [1,-1,1,-47818,2266377] 2 56870s2 [1,-1,1,-667338,209929481] 4 56870s3 [1,-1,1,-570538,272888201] 2 56870s4 [1,-1,1,-10676458,13429975177] 2
56870t (2 curves)	2	2- 5+ 11- 47-	2- -2 5+ -2 11-  1  0 -2
Curve Equation t Generators 56870t1 [1,0,0,-261,-6335] 1 [46:259:1]&[26:55:1] 56870t2 [1,0,0,2324,160656] 1 [-40:84:1]&[88:980:1]
56870u (1 curve)	1	2- 5- 11+ 47+	2-  0 5-  3 11+ -1  0  4
Curve Equation t Generators 56870u1 [1,-1,1,620828,-174004729] 1 [1301:52589:1]
56870v (1 curve)	1	2- 5- 11+ 47+	2- -3 5- -3 11+  2  3  7
Curve Equation t Generators 56870v1 [1,-1,1,-929787,-344854551] 1 [17566:715483:8]
56870w (1 curve)	2	2- 5- 11- 47+	2-  0 5- -4 11- -1 -4 -4
Curve Equation t Generators 56870w1 [1,-1,1,-1057,13489] 1 [37:136:1]&[-34:1083:8]
56870x (2 curves)	0	2- 5- 11- 47+	2-  1 5-  1 11- -5 -6  1
Curve Equation t 56870x1 [1,0,0,-698475,-224743375] 1 56870x2 [1,0,0,-768050,-177282940] 1
56870y (1 curve)	0	2- 5- 11- 47+	2-  2 5- -2 11- -5 -4  2
Curve Equation t 56870y1 [1,1,1,-305,-475265] 1
56870z (1 curve)	2	2- 5- 11- 47+	2- -3 5- -1 11- -4 -1 -1
Curve Equation t Generators 56870z1 [1,-1,1,522213,-280395189] 1 [411:1674:1]&[2291:112594:1]
56870ba (1 curve)	1	2- 5- 11- 47-	2-  1 5- -1 11-  4 -1 -1
Curve Equation t Generators 56870ba1 [1,0,0,-5750,209540] 1 [32:-258:1]
56870bb (1 curve)	1	2- 5- 11- 47-	2- -1 5-  1 11-  5  0 -5
Curve Equation t Generators 56870bb1 [1,1,1,-11800,-432915] 1 [-67:283:1]

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