Cremona's table of elliptic curves

85696 = 2⁶ · 13 · 103

Class	r	Atkin-Lehner	Eigenvalues
85696a (2 curves)	1	2+ 13+ 103+	2+  0  0 -4 -6 13+  6 -4
Curve Equation t Generators 85696a1 [0,0,0,-140,3312] 2 [8:52:1] 85696a2 [0,0,0,-4300,108144] 2 [-67:309:1]
85696b (4 curves)	1	2+ 13+ 103+	2+  0  2  0  4 13+  2 -4
Curve Equation t Generators 85696b1 [0,0,0,-764,13328] 2 [64:476:1] 85696b2 [0,0,0,-14284,656880] 4 [31416:117300:343] 85696b3 [0,0,0,-16364,453040] 2 [60445695975:51475472713:2072671875] 85696b4 [0,0,0,-228524,42048048] 2 [40259112600:9260620732:144703125]
85696c (1 curve)	1	2+ 13+ 103+	2+  0  2 -1 -5 13+ -3  2
Curve Equation t Generators 85696c1 [0,0,0,-15404,596528] 1 [109:461:1]
85696d (1 curve)	1	2+ 13+ 103+	2+  0  2  3 -5 13+  5  2
Curve Equation t Generators 85696d1 [0,0,0,-2178284,-1237427792] 1 [5769518837995844211:181087454654817962971:2600687180169359]
85696e (1 curve)	1	2+ 13+ 103+	2+ -1  1  0  6 13+ -1 -1
Curve Equation t Generators 85696e1 [0,-1,0,-395905,-95464831] 1 [-53196147425:77026102568:148035889]
85696f (1 curve)	1	2+ 13+ 103+	2+ -1 -1  0  6 13+  7 -1
Curve Equation t Generators 85696f1 [0,-1,0,-81,-143] 1 [-3:8:1]
85696g (1 curve)	1	2+ 13+ 103+	2+  2  2  3 -5 13+ -3  4
Curve Equation t Generators 85696g1 [0,-1,0,-3297,-63967] 1 [87736:37071:1331]
85696h (1 curve)	1	2+ 13+ 103+	2+  2 -2 -3  3 13+  5 -4
Curve Equation t Generators 85696h1 [0,-1,0,-6529,205185] 1 [48:9:1]
85696i (1 curve)	1	2+ 13+ 103+	2+ -3 -1  5  4 13+ -3 -4
Curve Equation t Generators 85696i1 [0,0,0,1652,1264] 1 [350:6592:1]
85696j (2 curves)	0	2+ 13+ 103-	2+  0  0  0  2 13+  6  8
Curve Equation t 85696j1 [0,0,0,-494920,-134014104] 2 85696j2 [0,0,0,-492860,-135185008] 2
85696k (1 curve)	2	2+ 13+ 103-	2+  0  0  1 -3 13+ -7 -4
Curve Equation t Generators 85696k1 [0,0,0,-140,-16] 1 [-2:16:1]&[13:19:1]
85696l (1 curve)	0	2+ 13+ 103-	2+  0 -3  0 -4 13+  3  2
Curve Equation t 85696l1 [0,0,0,16,-224] 1
85696m (1 curve)	0	2+ 13+ 103-	2+  1  3 -3 -4 13+  5  4
Curve Equation t 85696m1 [0,1,0,-224609,44474879] 1
85696n (1 curve)	0	2+ 13+ 103-	2+  1 -3  0  2 13+ -1  1
Curve Equation t 85696n1 [0,1,0,-417,-2881] 1
85696o (1 curve)	0	2+ 13+ 103-	2+  1 -3  0 -2 13+  7 -5
Curve Equation t 85696o1 [0,1,0,-154097,-23329201] 1
85696p (3 curves)	2	2+ 13+ 103-	2+  2  0 -1 -3 13+ -3 -2
Curve Equation t Generators 85696p1 [0,-1,0,-1999713,1089094625] 1 [809:384:1]&[10448:1058583:1] 85696p2 [0,-1,0,-2010913,1076289441] 1 [537:12288:1]&[915:1236:1] 85696p3 [0,-1,0,-19578593,-32906202271] 1 [5491:158484:1]&[-1084486175:402653184:389017]
85696q (2 curves)	0	2+ 13+ 103-	2+ -2  0  0  2 13+  2  4
Curve Equation t 85696q1 [0,1,0,-29534753,-61790847425] 2 85696q2 [0,1,0,-472558113,-3954105483713] 2
85696r (1 curve)	2	2+ 13+ 103-	2+ -2  0 -5 -3 13+ -3 -6
Curve Equation t Generators 85696r1 [0,1,0,-1633,24831] 1 [-45:96:1]&[19:32:1]
85696s (1 curve)	2	2+ 13+ 103-	2+ -2  2 -3  5 13+ -3 -4
Curve Equation t Generators 85696s1 [0,1,0,-3297,63967] 1 [69:412:1]&[-46:347:1]
85696t (1 curve)	0	2+ 13- 103+	2+  1 -1  4  4 13-  3  5
Curve Equation t 85696t1 [0,1,0,-8801,-281857] 1
85696u (1 curve)	0	2+ 13- 103+	2+  1  3 -4  4 13-  3  1
Curve Equation t 85696u1 [0,1,0,-44,98] 1
85696v (1 curve)	0	2+ 13- 103+	2+  1 -3 -1  6 13-  5 -6
Curve Equation t 85696v1 [0,1,0,38623,-3184129] 1
85696w (1 curve)	0	2+ 13- 103+	2+  2  4 -3  5 13- -3  2
Curve Equation t 85696w1 [0,-1,0,-2241,2753] 1
85696x (1 curve)	2	2+ 13- 103+	2+ -2  0 -1 -3 13-  5  6
Curve Equation t Generators 85696x1 [0,1,0,-1313,17407] 1 [13:-52:1]&[9:80:1]
85696y (1 curve)	0	2+ 13- 103+	2+ -3  1  4 -4 13-  3  3
Curve Equation t 85696y1 [0,0,0,-9772,17968] 1
85696z (1 curve)	1	2+ 13- 103-	2+ -1 -1 -4  0 13-  3  7
Curve Equation t Generators 85696z1 [0,-1,0,-5441,-141503] 1 [-33:32:1]
85696ba (1 curve)	1	2+ 13- 103-	2+ -1  3  4 -4 13-  3 -1
Curve Equation t Generators 85696ba1 [0,-1,0,-44,-98] 1 [-405:28:125]
85696bb (1 curve)	1	2+ 13- 103-	2+ -1 -3  1 -6 13-  5  6
Curve Equation t Generators 85696bb1 [0,-1,0,38623,3184129] 1 [455:10712:1]
85696bc (1 curve)	1	2+ 13- 103-	2+  2  0  1  3 13-  5 -6
Curve Equation t Generators 85696bc1 [0,-1,0,-1313,-17407] 1 [91:780:1]
85696bd (1 curve)	1	2+ 13- 103-	2+  2  2 -1  3 13- -3  4
Curve Equation t Generators 85696bd1 [0,-1,0,-6817,218913] 1 [51:36:1]
85696be (1 curve)	1	2+ 13- 103-	2+ -2  2  3  3 13-  5 -8
Curve Equation t Generators 85696be1 [0,1,0,-184498977,-961756901057] 1 [38397:6968884:1]
85696bf (2 curves)	0	2- 13+ 103+	2-  0  0  0 -2 13+  6 -8
Curve Equation t 85696bf1 [0,0,0,-494920,134014104] 2 85696bf2 [0,0,0,-492860,135185008] 2
85696bg (1 curve)	2	2- 13+ 103+	2-  0  0 -1  3 13+ -7  4
Curve Equation t Generators 85696bg1 [0,0,0,-140,16] 1 [-11:15:1]&[0:4:1]
85696bh (1 curve)	0	2- 13+ 103+	2-  0 -3  0  4 13+  3 -2
Curve Equation t 85696bh1 [0,0,0,16,224] 1
85696bi (1 curve)	0	2- 13+ 103+	2-  0 -3  2 -4 13+  7  4
Curve Equation t 85696bi1 [0,0,0,-134,-2454] 1
85696bj (1 curve)	0	2- 13+ 103+	2- -1  3  3  4 13+  5 -4
Curve Equation t 85696bj1 [0,-1,0,-224609,-44474879] 1
85696bk (1 curve)	0	2- 13+ 103+	2- -1 -3  0  2 13+  7  5
Curve Equation t 85696bk1 [0,-1,0,-154097,23329201] 1
85696bl (1 curve)	2	2- 13+ 103+	2- -1 -3  0 -2 13+ -1 -1
Curve Equation t Generators 85696bl1 [0,-1,0,-417,2881] 1 [-21:44:1]&[-3:64:1]
85696bm (2 curves)	0	2- 13+ 103+	2-  2  0  0 -2 13+  2 -4
Curve Equation t 85696bm1 [0,-1,0,-29534753,61790847425] 2 85696bm2 [0,-1,0,-472558113,3954105483713] 2
85696bn (1 curve)	0	2- 13+ 103+	2-  2  0  5  3 13+ -3  6
Curve Equation t 85696bn1 [0,-1,0,-1633,-24831] 1
85696bo (2 curves)	0	2- 13+ 103+	2-  2  2 -4  0 13+ -2  4
Curve Equation t 85696bo1 [0,-1,0,103,-103] 2 85696bo2 [0,-1,0,-417,-415] 2
85696bp (3 curves)	0	2- 13+ 103+	2- -2  0  1  3 13+ -3  2
Curve Equation t 85696bp1 [0,1,0,-1999713,-1089094625] 1 85696bp2 [0,1,0,-2010913,-1076289441] 1 85696bp3 [0,1,0,-19578593,32906202271] 1
85696bq (2 curves)	1	2- 13+ 103-	2-  0  0  4  6 13+  6  4
Curve Equation t Generators 85696bq1 [0,0,0,-140,-3312] 2 [106612:940576:1331] 85696bq2 [0,0,0,-4300,-108144] 2 [611396500:-3624056352:6539203]
85696br (4 curves)	1	2- 13+ 103-	2-  0  2  0 -4 13+  2  4
Curve Equation t Generators 85696br1 [0,0,0,-764,-13328] 2 [15708:74936:343] 85696br2 [0,0,0,-14284,-656880] 4 [463465492:6786358440:1685159] 85696br3 [0,0,0,-16364,-453040] 2 [-685577:2942195:6859] 85696br4 [0,0,0,-228524,-42048048] 2 [946504441846585860:-8314376360952936408:1610458639913375]
85696bs (1 curve)	1	2- 13+ 103-	2-  0  2  1  5 13+ -3 -2
Curve Equation t Generators 85696bs1 [0,0,0,-15404,-596528] 1 [-59:327:1]
85696bt (1 curve)	1	2- 13+ 103-	2-  0  2 -3  5 13+  5 -2
Curve Equation t Generators 85696bt1 [0,0,0,-2178284,1237427792] 1 [23007:1:27]
85696bu (1 curve)	1	2- 13+ 103-	2-  0 -3 -2  4 13+  7 -4
Curve Equation t Generators 85696bu1 [0,0,0,-134,2454] 1 [-15:33:1]
85696bv (1 curve)	1	2- 13+ 103-	2-  1  1  0 -6 13+ -1  1
Curve Equation t Generators 85696bv1 [0,1,0,-395905,95464831] 1 [1685295:1835008:4913]
85696bw (1 curve)	1	2- 13+ 103-	2-  1 -1  0 -6 13+  7  1
Curve Equation t Generators 85696bw1 [0,1,0,-81,143] 1 [1:8:1]
85696bx (2 curves)	1	2- 13+ 103-	2- -2  2  4  0 13+ -2 -4
Curve Equation t Generators 85696bx1 [0,1,0,103,103] 2 [17:84:1] 85696bx2 [0,1,0,-417,415] 2 [615:1540:27]
85696by (1 curve)	1	2- 13+ 103-	2- -2 -2  3 -3 13+  5  4
Curve Equation t Generators 85696by1 [0,1,0,-6529,-205185] 1 [-47:8:1]
85696bz (1 curve)	1	2- 13+ 103-	2-  3 -1 -5 -4 13+ -3  4
Curve Equation t Generators 85696bz1 [0,0,0,1652,-1264] 1 [1056:9476:27]
85696ca (1 curve)	1	2- 13- 103+	2-  1 -1  4  0 13-  3 -7
Curve Equation t Generators 85696ca1 [0,1,0,-5441,141503] 1 [-843:14336:27]
85696cb (1 curve)	1	2- 13- 103+	2-  2  2 -3 -3 13-  5  8
Curve Equation t Generators 85696cb1 [0,-1,0,-184498977,961756901057] 1 [21143:2551848:1]
85696cc (1 curve)	1	2- 13- 103+	2- -2  2  1 -3 13- -3 -4
Curve Equation t Generators 85696cc1 [0,1,0,-6817,-218913] 1 [129:1032:1]
85696cd (1 curve)	2	2- 13- 103-	2- -1 -1 -4 -4 13-  3 -5
Curve Equation t Generators 85696cd1 [0,-1,0,-8801,281857] 1 [-99:416:1]&[-73:728:1]
85696ce (1 curve)	0	2- 13- 103-	2- -2  4  3 -5 13- -3 -2
Curve Equation t 85696ce1 [0,1,0,-2241,-2753] 1
85696cf (1 curve)	0	2- 13- 103-	2-  3  1 -4  4 13-  3 -3
Curve Equation t 85696cf1 [0,0,0,-9772,-17968] 1

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