Cremona's table of elliptic curves

86320 = 2⁴ · 5 · 13 · 83

Class	r	Atkin-Lehner	Eigenvalues
86320a (1 curve)	1	2+ 5+ 13+ 83+	2+  0 5+  3 -2 13+  0  5
Curve Equation t Generators 86320a1 [0,0,0,172,-4612] 1 [374426:1641281:17576]
86320b (1 curve)	0	2+ 5+ 13+ 83-	2+  2 5+ -3  2 13+ -4  3
Curve Equation t 86320b1 [0,-1,0,-4051,100710] 1
86320c (1 curve)	0	2+ 5+ 13- 83+	2+  1 5+ -3  5 13- -5  4
Curve Equation t 86320c1 [0,1,0,749,-4976] 1
86320d (2 curves)	0	2+ 5+ 13- 83+	2+  2 5+ -2 -4 13- -2  0
Curve Equation t 86320d1 [0,-1,0,104,0] 2 86320d2 [0,-1,0,-416,416] 2
86320e (1 curve)	2	2+ 5+ 13- 83+	2+ -2 5+ -1 -2 13-  6  5
Curve Equation t Generators 86320e1 [0,1,0,344,7044] 1 [-10:52:1]&[-8:62:1]
86320f (1 curve)	1	2+ 5+ 13- 83-	2+ -2 5+ -3  2 13- -8  1
Curve Equation t Generators 86320f1 [0,1,0,-1716,-28340] 1 [106:996:1]
86320g (1 curve)	0	2+ 5- 13+ 83+	2+ -2 5- -5  6 13+  4  1
Curve Equation t 86320g1 [0,1,0,5,-12] 1
86320h (1 curve)	0	2+ 5- 13+ 83+	2+ -3 5- -3 -3 13+  3  0
Curve Equation t 86320h1 [0,0,0,-9502,-357029] 1
86320i (2 curves)	1	2+ 5- 13+ 83-	2+ -2 5-  0 -2 13+  2  4
Curve Equation t Generators 86320i1 [0,1,0,-386763320,2927500032100] 2 [11350:740:1] 86320i2 [0,1,0,-386760000,2927552808148] 2 [11516:31450:1]
86320j (1 curve)	1	2+ 5- 13- 83+	2+  2 5-  1  4 13- -6  1
Curve Equation t Generators 86320j1 [0,-1,0,-265,-18363] 1 [282:975:8]
86320k (1 curve)	1	2+ 5- 13- 83+	2+  2 5-  3 -2 13-  0 -5
Curve Equation t Generators 86320k1 [0,-1,0,580,4400] 1 [40:300:1]
86320l (1 curve)	2	2+ 5- 13- 83-	2+ -1 5- -1 -1 13- -5 -8
Curve Equation t Generators 86320l1 [0,-1,0,60,400] 1 [0:20:1]&[12:52:1]
86320m (1 curve)	0	2+ 5- 13- 83-	2+ -1 5-  3  3 13-  8  8
Curve Equation t 86320m1 [0,-1,0,0,160] 1
86320n (4 curves)	0	2- 5+ 13+ 83+	2-  0 5+  0  4 13+ -6  8
Curve Equation t 86320n1 [0,0,0,2557,18242] 2 86320n2 [0,0,0,-10963,150738] 4 86320n3 [0,0,0,-97283,-11571518] 2 86320n4 [0,0,0,-140963,20352738] 2
86320o (2 curves)	1	2- 5+ 13- 83+	2- -2 5+  0 -2 13- -6  0
Curve Equation t Generators 86320o1 [0,1,0,-2776,16404] 2 [-10:208:1] 86320o2 [0,1,0,10504,138580] 2 [52:910:1]
86320p (2 curves)	1	2- 5+ 13- 83+	2- -2 5+ -2 -4 13-  6 -4
Curve Equation t Generators 86320p1 [0,1,0,-416,-7436] 2 [52:338:1] 86320p2 [0,1,0,-8736,-316940] 2 [-54:16:1]
86320q (1 curve)	2	2- 5+ 13- 83-	2-  1 5+ -1 -3 13-  1 -2
Curve Equation t Generators 86320q1 [0,1,0,-59376,5863124] 1 [124:-650:1]&[-110:3328:1]
86320r (2 curves)	0	2- 5+ 13- 83-	2-  2 5+  1 -6 13-  6  4
Curve Equation t 86320r1 [0,-1,0,-501,-5059] 1 86320r2 [0,-1,0,3659,38205] 1
86320s (1 curve)	2	2- 5+ 13- 83-	2- -2 5+ -1  0 13- -2 -5
Curve Equation t Generators 86320s1 [0,1,0,19,-41] 1 [2:3:1]&[7:22:1]
86320t (1 curve)	1	2- 5- 13+ 83+	2-  0 5-  3 -2 13+  0 -7
Curve Equation t Generators 86320t1 [0,0,0,-272,-2064] 1 [226:905:8]
86320u (1 curve)	1	2- 5- 13+ 83+	2-  2 5-  3 -2 13+  6 -5
Curve Equation t Generators 86320u1 [0,-1,0,-560,5312] 1 [-8:96:1]
86320v (1 curve)	1	2- 5- 13+ 83+	2- -2 5- -5  2 13+ -6  7
Curve Equation t Generators 86320v1 [0,1,0,19640,-604812] 1 [222:3840:1]
86320w (2 curves)	0	2- 5- 13+ 83-	2-  0 5-  0 -4 13+  2  2
Curve Equation t 86320w1 [0,0,0,-4547,105154] 2 86320w2 [0,0,0,-17827,-805854] 2
86320x (1 curve)	2	2- 5- 13- 83+	2-  1 5- -1 -1 13- -5 -6
Curve Equation t Generators 86320x1 [0,1,0,2075,-6302] 1 [6:80:1]&[66:650:1]
86320y (4 curves)	1	2- 5- 13- 83-	2-  0 5-  0  0 13-  2  0
Curve Equation t Generators 86320y1 [0,0,0,-25574747,-49750211574] 2 [593140315798965:-415612526902902784:1207949625] 86320y2 [0,0,0,-30817627,-27884256246] 4 [57949179801:524991334400:9663597] 86320y3 [0,0,0,110269093,-211776687094] 4 [1206184292315:1690434373872738:614125] 86320y4 [0,0,0,-255790427,1555429315594] 4 [19520030814785:-27355754930354682:9938375]
86320z (1 curve)	1	2- 5- 13- 83-	2-  0 5-  0 -6 13- -4  5
Curve Equation t Generators 86320z1 [0,0,0,18808,-10262644] 1 [610:15106:1]
86320ba (4 curves)	1	2- 5- 13- 83-	2-  0 5-  4  4 13- -6 -4
Curve Equation t Generators 86320ba1 [0,0,0,-3467,-89286] 2 [50405:11316448:1] 86320ba2 [0,0,0,-57547,-5313414] 4 [-2087263480441:-27803725950:15124197817] 86320ba3 [0,0,0,-59627,-4908646] 4 [-12295:8536:125] 86320ba4 [0,0,0,-920747,-340062374] 2 [-955888670493995580805:7517472506552778:1725430874279355125]
86320bb (1 curve)	1	2- 5- 13- 83-	2-  0 5- -5  4 13-  6  5
Curve Equation t Generators 86320bb1 [0,0,0,-10052,446379] 1 [53:250:1]
86320bc (1 curve)	1	2- 5- 13- 83-	2-  1 5-  5 -1 13- -3  0
Curve Equation t Generators 86320bc1 [0,1,0,-345,-2650] 1 [170:65:8]
86320bd (2 curves)	1	2- 5- 13- 83-	2- -1 5-  1 -3 13-  0  4
Curve Equation t Generators 86320bd1 [0,-1,0,320,-25600] 1 [32:128:1] 86320bd2 [0,-1,0,-2880,693760] 1 [112:1328:1]
86320be (2 curves)	1	2- 5- 13- 83-	2-  2 5-  1 -6 13-  6 -5
Curve Equation t Generators 86320be1 [0,-1,0,-943560,-352464400] 1 [2723620:401620032:125] 86320be2 [0,-1,0,-927160,-365323920] 1 [245580:9179136:125]
86320bf (1 curve)	1	2- 5- 13- 83-	2-  2 5- -3 -2 13- -2 -4
Curve Equation t Generators 86320bf1 [0,-1,0,-5,-55] 1 [147:190:27]
86320bg (1 curve)	1	2- 5- 13- 83-	2- -3 5- -3  3 13- -4  0
Curve Equation t Generators 86320bg1 [0,0,0,-4507,156106] 1 [-43:-520:1]
86320bh (1 curve)	1	2- 5- 13- 83-	2- -3 5- -3  3 13- -7 -4
Curve Equation t Generators 86320bh1 [0,0,0,-93018292,345303241051] 1 [45586:134875:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations