Cremona's table of elliptic curves

113715 = 3² · 5 · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
113715a (1 curve)	2	3+ 5+ 7+ 19-	-2 3+ 5+ 7+ -2  2  4 19-
Curve Equation t Generators 113715a1 [0,0,1,-1083,46298] 1 [-366:71:8]&[19:-181:1]
113715b (2 curves)	1	3+ 5+ 7- 19-	1 3+ 5+ 7-  0  0 -6 19-
Curve Equation t Generators 113715b1 [1,-1,0,-8190,-111769] 2 [98:91:1] 113715b2 [1,-1,0,29715,-877450] 2 [164846:23581127:8]
113715c (1 curve)	1	3+ 5+ 7- 19-	2 3+ 5+ 7-  2 -6  4 19-
Curve Equation t Generators 113715c1 [0,0,1,-1571433,-758291601] 1 [97698:10737219:8]
113715d (1 curve)	1	3+ 5- 7+ 19-	2 3+ 5- 7+  2  2 -4 19-
Curve Equation t Generators 113715d1 [0,0,1,-9747,-1250053] 1 [6103370:107247561:17576]
113715e (2 curves)	0	3+ 5- 7- 19-	-1 3+ 5- 7-  0  0  6 19-
Curve Equation t 113715e1 [1,-1,1,-73712,3091474] 2 113715e2 [1,-1,1,267433,23423716] 2
113715f (1 curve)	2	3+ 5- 7- 19-	-2 3+ 5- 7- -2 -6 -4 19-
Curve Equation t Generators 113715f1 [0,0,1,-14142897,20473873220] 1 [-627:-170573:1]&[-1572:197032:1]
113715g (2 curves)	0	3- 5+ 7+ 19+	1 3- 5+ 7+  2 -4  6 19+
Curve Equation t 113715g1 [1,-1,0,-3060,-45725] 2 113715g2 [1,-1,0,-44955,-3657074] 2
113715h (2 curves)	0	3- 5+ 7+ 19+	-1 3- 5+ 7+  2  4  6 19+
Curve Equation t 113715h1 [1,-1,1,-1104728,319151306] 2 113715h2 [1,-1,1,-16228823,25165014572] 2
113715i (1 curve)	0	3- 5+ 7+ 19+	2 3- 5+ 7+  2  4 -6 19+
Curve Equation t 113715i1 [0,0,1,14424477,-2430846433701] 1
113715j (1 curve)	0	3- 5+ 7+ 19+	-2 3- 5+ 7+  2 -4 -6 19+
Curve Equation t 113715j1 [0,0,1,39957,354402454] 1
113715k (1 curve)	0	3- 5+ 7+ 19+	-2 3- 5+ 7+  5  4  4 19+
Curve Equation t 113715k1 [0,0,1,-56566173,161537864278] 1
113715l (1 curve)	1	3- 5+ 7+ 19-	0 3- 5+ 7+  4 -4  4 19-
Curve Equation t Generators 113715l1 [0,0,1,177612,-133429842] 1 [518:9877:1]
113715m (4 curves)	1	3- 5+ 7+ 19-	1 3- 5+ 7+  4  2 -2 19-
Curve Equation t Generators 113715m1 [1,-1,0,-46095,-3790720] 2 [60000192:17183204792:729] 113715m2 [1,-1,0,-62340,-869869] 4 [-908:7339:64] 113715m3 [1,-1,0,246315,-7104700] 2 [845414046:-12846788441:28652616] 113715m4 [1,-1,0,-630915,192104486] 2 [22626900:-17291789:46656]
113715n (6 curves)	1	3- 5+ 7+ 19-	-1 3- 5+ 7+ -4  2 -2 19-
Curve Equation t Generators 113715n1 [1,-1,1,-649868,230453606] 2 [21360:381494:27] 113715n2 [1,-1,1,-10802993,13669129856] 4 [822:72691:1] 113715n3 [1,-1,1,-11209118,12586238156] 4 [747:67666:1] 113715n4 [1,-1,1,-172846868,874705464056] 2 [7320:36952:1] 113715n5 [1,-1,1,18113107,67371883346] 2 [29417178:-3368212021:2744] 113715n6 [1,-1,1,-47029343,-111509349334] 2 [-1740216:49613897:512]
113715o (1 curve)	1	3- 5+ 7+ 19-	2 3- 5+ 7+  5 -4  4 19-
Curve Equation t Generators 113715o1 [0,0,1,-156693,-23551227] 1 [480053884:8319297101:778688]
113715p (1 curve)	1	3- 5+ 7- 19+	1 3- 5+ 7-  4  1 -2 19+
Curve Equation t Generators 113715p1 [1,-1,0,-38914965,-93428184294] 1 [549549459874381138585135258692439012574588346:55376584005237578655131319814877566958679233610:40356464158948094592390654286089527907643]
113715q (1 curve)	1	3- 5+ 7- 19+	2 3- 5+ 7- -3  0  0 19+
Curve Equation t Generators 113715q1 [0,0,1,-55233,-4992901] 1 [-1102:319:8]
113715r (1 curve)	1	3- 5+ 7- 19+	-2 3- 5+ 7-  5  0  4 19+
Curve Equation t Generators 113715r1 [0,0,1,-390963,-15866582] 1 [-361:8844:1]
113715s (1 curve)	0	3- 5+ 7- 19-	1 3- 5+ 7-  0  4  3 19-
Curve Equation t 113715s1 [1,-1,0,-8190,368361] 1
113715t (4 curves)	0	3- 5+ 7- 19-	1 3- 5+ 7-  0  6 -2 19-
Curve Equation t 113715t1 [1,-1,0,-8190,272335] 2 113715t2 [1,-1,0,-24435,-1127984] 4 113715t3 [1,-1,0,56790,-7089899] 2 113715t4 [1,-1,0,-365580,-84981425] 2
113715u (4 curves)	0	3- 5+ 7- 19-	1 3- 5+ 7-  0 -6 -2 19-
Curve Equation t 113715u1 [1,-1,0,-2823031800,-57731815829525] 2 113715u2 [1,-1,0,-2862036045,-56054407069904] 4 113715u3 [1,-1,0,1973694330,-226201514606429] 2 113715u4 [1,-1,0,-8321834340,221446393031425] 2
113715v (1 curve)	0	3- 5+ 7- 19-	-1 3- 5+ 7-  4 -1 -2 19-
Curve Equation t 113715v1 [1,-1,1,-107798,13649622] 1
113715w (6 curves)	0	3- 5+ 7- 19-	-1 3- 5+ 7-  4  2 -2 19-
Curve Equation t 113715w1 [1,-1,1,227362,26086452] 2 113715w2 [1,-1,1,-1088483,227673906] 4 113715w3 [1,-1,1,-8252528,-8965228638] 4 113715w4 [1,-1,1,-14977958,22306383366] 2 113715w5 [1,-1,1,276097,-26605836588] 2 113715w6 [1,-1,1,-131405873,-579756352044] 2
113715x (6 curves)	0	3- 5+ 7- 19-	-1 3- 5+ 7- -4 -6 -2 19-
Curve Equation t 113715x1 [1,-1,1,407359552,954601135706] 2 113715x2 [1,-1,1,-1709705093,7811350107932] 4 113715x3 [1,-1,1,-15790237538,-757842946547344] 4 113715x4 [1,-1,1,-21502206968,1212272176209932] 2 113715x5 [1,-1,1,-4764772283,-1796560848593098] 2 113715x6 [1,-1,1,-252104221913,-48721168996828594] 2
113715y (1 curve)	0	3- 5+ 7- 19-	2 3- 5+ 7-  5  0  4 19-
Curve Equation t 113715y1 [0,0,1,-1083,2313] 1
113715z (2 curves)	0	3- 5+ 7- 19-	-2 3- 5+ 7-  3  1 -3 19-
Curve Equation t 113715z1 [0,0,1,-683373,1246011084] 1 113715z2 [0,0,1,-54129423,-201326117346] 1
113715ba (1 curve)	0	3- 5+ 7- 19-	-2 3- 5+ 7-  3 -3 -3 19-
Curve Equation t 113715ba1 [0,0,1,-315153,-68104726] 1
113715bb (1 curve)	0	3- 5+ 7- 19-	-2 3- 5+ 7- -3  0  0 19-
Curve Equation t 113715bb1 [0,0,1,-19939113,34246306244] 1
113715bc (1 curve)	1	3- 5- 7+ 19+	0 3- 5- 7+  5 -2  2 19+
Curve Equation t Generators 113715bc1 [0,0,1,-4332,-87633] 1 [95:598:1]
113715bd (1 curve)	0	3- 5- 7+ 19-	0 3- 5- 7+  5  2  2 19-
Curve Equation t 113715bd1 [0,0,1,-1563852,601073032] 1
113715be (4 curves)	0	3- 5- 7+ 19-	-1 3- 5- 7+  0  6 -6 19-
Curve Equation t 113715be1 [1,-1,1,646483,752354916] 4 113715be2 [1,-1,1,-9506642,10410007416] 4 113715be3 [1,-1,1,-32655767,-59935553634] 2 113715be4 [1,-1,1,-148807517,698723490966] 2
113715bf (1 curve)	0	3- 5- 7- 19+	1 3- 5- 7- -4  3 -2 19+
Curve Equation t 113715bf1 [1,-1,0,37296,-25882115] 1
113715bg (1 curve)	0	3- 5- 7- 19+	2 3- 5- 7- -2  4 -6 19+
Curve Equation t 113715bg1 [0,0,1,-637887,-1337712485] 1
113715bh (1 curve)	2	3- 5- 7- 19+	-2 3- 5- 7- -2 -4 -6 19+
Curve Equation t Generators 113715bh1 [0,0,1,-1767,195030] 1 [38:-428:1]&[-57:332:1]
113715bi (3 curves)	1	3- 5- 7- 19-	0 3- 5- 7-  0  4  0 19-
Curve Equation t Generators 113715bi1 [0,0,1,158118,21295480] 1 [-2850:49985:27] 113715bi2 [0,0,1,-1596342,-1110418943] 1 [1577:17147:1] 113715bi3 [0,0,1,-144194952,-666458680640] 1 [149074:14124121:8]
113715bj (3 curves)	1	3- 5- 7- 19-	0 3- 5- 7-  3 -5 -3 19-
Curve Equation t Generators 113715bj1 [0,0,1,-4332,121747] 1 [-285:10997:27] 113715bj2 [0,0,1,28158,-310370] 1 [38:902:1] 113715bj3 [0,0,1,-426702,-112228673] 1 [31426:1940371:8]
113715bk (4 curves)	1	3- 5- 7- 19-	-1 3- 5- 7-  0 -2 -6 19-
Curve Equation t Generators 113715bk1 [1,-1,1,-21755372,39061565894] 4 [-4878:173011:1] 113715bk2 [1,-1,1,-22551377,36049801376] 4 [-4899:172549:1] 113715bk3 [1,-1,1,35784418,191596365164] 2 [-25474:1716483:8] 113715bk4 [1,-1,1,-93623252,-312259243624] 2 [-421836:8904211:64]
113715bl (1 curve)	1	3- 5- 7- 19-	-1 3- 5- 7- -4  0  1 19-
Curve Equation t Generators 113715bl1 [1,-1,1,207868,42823856] 1 [-14:6324:1]
113715bm (1 curve)	1	3- 5- 7- 19-	-1 3- 5- 7- -4 -3 -2 19-
Curve Equation t Generators 113715bm1 [1,-1,1,103,3746] 1 [6:-71:1]

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