Cremona's table of elliptic curves

35568 = 2⁴ · 3² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
35568a (2 curves)	0	2+ 3+ 13+ 19-	2+ 3+  2  4  0 13+  4 19-
Curve Equation t 35568a1 [0,0,0,-2214,40095] 2 35568a2 [0,0,0,-2079,45198] 2
35568b (2 curves)	0	2+ 3+ 13+ 19-	2+ 3+ -2  4  0 13+ -4 19-
Curve Equation t 35568b1 [0,0,0,-246,-1485] 2 35568b2 [0,0,0,-231,-1674] 2
35568c (1 curve)	1	2+ 3+ 13- 19-	2+ 3+  2 -3  3 13-  8 19-
Curve Equation t Generators 35568c1 [0,0,0,2781,-26622] 1 [159:2106:1]
35568d (1 curve)	1	2+ 3+ 13- 19-	2+ 3+ -2 -3 -3 13- -8 19-
Curve Equation t Generators 35568d1 [0,0,0,309,986] 1 [25:156:1]
35568e (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  0  0 -4 13+ -7 19+
Curve Equation t 35568e1 [0,0,0,-449175,116331257] 1
35568f (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  0  2 -4 13+  3 19+
Curve Equation t 35568f1 [0,0,0,-75,-263] 1
35568g (2 curves)	0	2+ 3- 13+ 19+	2+ 3-  0 -4 -2 13+  6 19+
Curve Equation t 35568g1 [0,0,0,-5023470,4331604859] 2 35568g2 [0,0,0,-4137735,5907681718] 2
35568h (1 curve)	0	2+ 3- 13+ 19+	2+ 3- -1 -3 -2 13+  4 19+
Curve Equation t 35568h1 [0,0,0,-23763,-1437374] 1
35568i (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  3  1 -5 13+  3 19+
Curve Equation t 35568i1 [0,0,0,-51276,4473628] 1
35568j (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  3  5  2 13+  0 19+
Curve Equation t 35568j1 [0,0,0,-13251,587122] 1
35568k (2 curves)	1	2+ 3- 13+ 19-	2+ 3-  0 -4 -2 13+ -2 19-
Curve Equation t Generators 35568k1 [0,0,0,-14070,643763] 2 [91:-342:1] 35568k2 [0,0,0,-225255,41149046] 2 [2210:-513:8]
35568l (2 curves)	1	2+ 3- 13+ 19-	2+ 3-  0 -4 -6 13+ -2 19-
Curve Equation t Generators 35568l1 [0,0,0,-13350,-587369] 2 [135:266:1] 35568l2 [0,0,0,-2415,-1521218] 2 [293:4788:1]
35568m (1 curve)	1	2+ 3- 13+ 19-	2+ 3-  0  5  1 13+ -2 19-
Curve Equation t Generators 35568m1 [0,0,0,-2876475,-4229930806] 1 [7945:688788:1]
35568n (1 curve)	1	2+ 3- 13+ 19-	2+ 3- -2 -2 -6 13+ -1 19-
Curve Equation t Generators 35568n1 [0,0,0,9,81] 1 [0:9:1]
35568o (1 curve)	1	2+ 3- 13+ 19-	2+ 3- -3 -1 -6 13+  8 19-
Curve Equation t Generators 35568o1 [0,0,0,861,3026] 1 [19:-162:1]
35568p (1 curve)	1	2+ 3- 13- 19+	2+ 3-  1 -3 -6 13-  4 19+
Curve Equation t Generators 35568p1 [0,0,0,-97347,-19553038] 1 [21067:3057426:1]
35568q (1 curve)	1	2+ 3- 13- 19+	2+ 3- -1 -1  3 13- -3 19+
Curve Equation t Generators 35568q1 [0,0,0,-2388,-64244] 1 [113:1053:1]
35568r (1 curve)	1	2+ 3- 13- 19+	2+ 3-  2  2  2 13-  3 19+
Curve Equation t Generators 35568r1 [0,0,0,-939,-14627] 1 [44:171:1]
35568s (4 curves)	0	2+ 3- 13- 19-	2+ 3- -2  0 -4 13-  6 19-
Curve Equation t 35568s1 [0,0,0,-180066,-29410045] 2 35568s2 [0,0,0,-180111,-29394610] 4 35568s3 [0,0,0,-136371,-44030014] 4 35568s4 [0,0,0,-224571,-13771366] 2
35568t (1 curve)	0	2+ 3- 13- 19-	2+ 3-  4  0 -4 13- -3 19-
Curve Equation t 35568t1 [0,0,0,-3,245] 1
35568u (2 curves)	0	2- 3+ 13+ 19+	2- 3+  0  0  6 13+  4 19+
Curve Equation t 35568u1 [0,0,0,-2955,-60102] 2 35568u2 [0,0,0,885,-205254] 2
35568v (2 curves)	2	2- 3+ 13+ 19+	2- 3+  0  0 -6 13+ -4 19+
Curve Equation t Generators 35568v1 [0,0,0,-26595,1622754] 2 [-162:1296:1]&[-47:1664:1] 35568v2 [0,0,0,7965,5541858] 2 [-143:1216:1]&[7:2366:1]
35568w (1 curve)	0	2- 3+ 13+ 19+	2- 3+  2  5  5 13+ -4 19+
Curve Equation t 35568w1 [0,0,0,-51219,4503762] 1
35568x (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -2  5 -5 13+  4 19+
Curve Equation t 35568x1 [0,0,0,-5691,-166806] 1
35568y (1 curve)	0	2- 3+ 13+ 19+	2- 3+  3  3 -6 13+ -4 19+
Curve Equation t 35568y1 [0,0,0,9,-62] 1
35568z (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -3  3  6 13+  4 19+
Curve Equation t 35568z1 [0,0,0,81,1674] 1
35568ba (1 curve)	1	2- 3+ 13+ 19-	2- 3+  1  1  6 13+  0 19-
Curve Equation t Generators 35568ba1 [0,0,0,-10287,732618] 1 [174:2052:1]
35568bb (1 curve)	1	2- 3+ 13+ 19-	2- 3+ -1  1 -6 13+  0 19-
Curve Equation t Generators 35568bb1 [0,0,0,-1143,-27134] 1 [170:2166:1]
35568bc (1 curve)	1	2- 3+ 13+ 19-	2- 3+  2 -5  3 13+  0 19-
Curve Equation t Generators 35568bc1 [0,0,0,-36308139,-227236237862] 1 [266279:137369886:1]
35568bd (1 curve)	1	2- 3+ 13+ 19-	2- 3+ -2 -5 -3 13+  0 19-
Curve Equation t Generators 35568bd1 [0,0,0,-326773251,6135378422274] 1 [5889:-2101248:1]
35568be (2 curves)	0	2- 3+ 13- 19-	2- 3+  2  0 -2 13-  0 19-
Curve Equation t 35568be1 [0,0,0,-16524,1392363] 2 35568be2 [0,0,0,-313119,67414410] 2
35568bf (2 curves)	0	2- 3+ 13- 19-	2- 3+ -2  0  2 13-  0 19-
Curve Equation t 35568bf1 [0,0,0,-1836,-51569] 2 35568bf2 [0,0,0,-34791,-2496830] 2
35568bg (2 curves)	1	2- 3- 13+ 19+	2- 3-  0  0  0 13+  2 19+
Curve Equation t Generators 35568bg1 [0,0,0,-660,9331] 2 [45:266:1] 35568bg2 [0,0,0,-11775,491722] 2 [594:1309:8]
35568bh (1 curve)	1	2- 3- 13+ 19+	2- 3-  0  3 -3 13+  2 19+
Curve Equation t Generators 35568bh1 [0,0,0,-1900155,1213289386] 1 [287:26298:1]
35568bi (1 curve)	1	2- 3- 13+ 19+	2- 3-  1  1 -2 13+  0 19+
Curve Equation t Generators 35568bi1 [0,0,0,2733,47122] 1 [71:774:1]
35568bj (1 curve)	1	2- 3- 13+ 19+	2- 3- -1 -3  0 13+ -6 19+
Curve Equation t Generators 35568bj1 [0,0,0,-363,-3494] 1 [23:18:1]
35568bk (1 curve)	1	2- 3- 13+ 19+	2- 3- -2  2 -2 13+  7 19+
Curve Equation t Generators 35568bk1 [0,0,0,-3260241,4460322051] 1 [-1503571456830:-167087682013923:2082440933]
35568bl (1 curve)	1	2- 3- 13+ 19+	2- 3- -2 -2 -2 13+  3 19+
Curve Equation t Generators 35568bl1 [0,0,0,-2181,39211] 1 [26:9:1]
35568bm (4 curves)	1	2- 3- 13+ 19+	2- 3- -2 -4  4 13+ -2 19+
Curve Equation t Generators 35568bm1 [0,0,0,549,1674] 2 [6:72:1] 35568bm2 [0,0,0,-2331,13770] 4 [-33:234:1] 35568bm3 [0,0,0,-21051,-1165590] 2 [-81:90:1] 35568bm4 [0,0,0,-29691,1967274] 2 [111:198:1]
35568bn (1 curve)	1	2- 3- 13+ 19+	2- 3-  3  3  3 13+ -7 19+
Curve Equation t Generators 35568bn1 [0,0,0,-2398296,-1429559732] 1 [760674041666:-53904628271754:138188413]
35568bo (1 curve)	1	2- 3- 13+ 19+	2- 3-  3 -3  0 13+  2 19+
Curve Equation t Generators 35568bo1 [0,0,0,1707189,1958232058] 1 [1407876067:85226428278:1030301]
35568bp (1 curve)	1	2- 3- 13+ 19+	2- 3-  3 -3  0 13+ -5 19+
Curve Equation t Generators 35568bp1 [0,0,0,-8811,-318438] 1 [4274:97147:8]
35568bq (1 curve)	1	2- 3- 13+ 19+	2- 3-  3 -3  3 13+  7 19+
Curve Equation t Generators 35568bq1 [0,0,0,144,972] 1 [-2:26:1]
35568br (1 curve)	0	2- 3- 13+ 19-	2- 3-  0 -3  5 13+ -2 19-
Curve Equation t 35568br1 [0,0,0,-75,-6406] 1
35568bs (1 curve)	0	2- 3- 13+ 19-	2- 3- -1  1  0 13+  3 19-
Curve Equation t 35568bs1 [0,0,0,1797,13354] 1
35568bt (1 curve)	0	2- 3- 13+ 19-	2- 3- -1  1  5 13+ -7 19-
Curve Equation t 35568bt1 [0,0,0,14611632,99788637296] 1
35568bu (1 curve)	0	2- 3- 13+ 19-	2- 3-  3  3  2 13+  4 19-
Curve Equation t 35568bu1 [0,0,0,-29091,1971362] 1
35568bv (1 curve)	0	2- 3- 13+ 19-	2- 3- -3 -5  0 13+  6 19-
Curve Equation t 35568bv1 [0,0,0,-752619,-267945766] 1
35568bw (1 curve)	0	2- 3- 13+ 19-	2- 3- -4 -2  0 13+  3 19-
Curve Equation t 35568bw1 [0,0,0,1023,-5645] 1
35568bx (2 curves)	0	2- 3- 13- 19+	2- 3-  0  1  3 13- -6 19+
Curve Equation t 35568bx1 [0,0,0,-22395,1947818] 1 35568bx2 [0,0,0,182805,-30170086] 1
35568by (2 curves)	0	2- 3- 13- 19+	2- 3-  0 -2  0 13-  3 19+
Curve Equation t 35568by1 [0,0,0,-165,-1753] 1 35568by2 [0,0,0,-17265,-873169] 1
35568bz (2 curves)	0	2- 3- 13- 19+	2- 3-  0  4  0 13- -3 19+
Curve Equation t 35568bz1 [0,0,0,-165,2351] 1 35568bz2 [0,0,0,1455,-56617] 1
35568ca (2 curves)	0	2- 3- 13- 19+	2- 3-  3  1  3 13-  3 19+
Curve Equation t 35568ca1 [0,0,0,-35616,2725868] 1 35568ca2 [0,0,0,197664,3787292] 1
35568cb (3 curves)	0	2- 3- 13- 19+	2- 3-  3  1 -6 13-  0 19+
Curve Equation t 35568cb1 [0,0,0,1864509,726964418] 1 35568cb2 [0,0,0,-19286211,-43949079358] 1 35568cb3 [0,0,0,-1708691331,-27185889976702] 1
35568cc (2 curves)	0	2- 3- 13- 19+	2- 3- -3  1  0 13-  6 19+
Curve Equation t 35568cc1 [0,0,0,1221,-515734] 1 35568cc2 [0,0,0,-450219,-116289574] 1
35568cd (1 curve)	1	2- 3- 13- 19-	2- 3-  1  3  2 13-  0 19-
Curve Equation t Generators 35568cd1 [0,0,0,-867,-176798] 1 [191:2574:1]
35568ce (1 curve)	1	2- 3- 13- 19-	2- 3-  1  3 -4 13-  3 19-
Curve Equation t Generators 35568ce1 [0,0,0,-144147,22105042] 1 [441:6656:1]
35568cf (1 curve)	1	2- 3- 13- 19-	2- 3- -1  3 -3 13-  3 19-
Curve Equation t Generators 35568cf1 [0,0,0,-768,43184] 1 [49:351:1]
35568cg (4 curves)	1	2- 3- 13- 19-	2- 3-  2  0  0 13-  6 19-
Curve Equation t Generators 35568cg1 [0,0,0,-21263979,-37730341222] 2 [19387154533117007175:527711226324068859904:3420767838796875] 35568cg2 [0,0,0,-24213099,-26586796390] 4 [55294014279:6978523801600:3176523] 35568cg3 [0,0,0,76563861,-190671842662] 4 [628013725:128673499968:15625] 35568cg4 [0,0,0,-172175979,850685119130] 2 [4741596506866170:-519786215203054150:252555814161]
35568ch (6 curves)	1	2- 3- 13- 19-	2- 3-  2  0  4 13- -2 19-
Curve Equation t Generators 35568ch1 [0,0,0,-5619,1016498] 2 [36484:865935:64] 35568ch2 [0,0,0,-189939,31724210] 4 [2290:107730:1] 35568ch3 [0,0,0,-293619,-6741070] 4 [-473:5130:1] 35568ch4 [0,0,0,-3035379,2035483058] 2 [1006490:-32893:1000] 35568ch5 [0,0,0,1166541,-53758222] 4 [409:22176:1] 35568ch6 [0,0,0,-3412659,-2421501838] 2 [-1081:2090:1]
35568ci (1 curve)	1	2- 3- 13- 19-	2- 3- -2  2  2 13-  7 19-
Curve Equation t Generators 35568ci1 [0,0,0,3579,-94889] 1 [230:3591:1]
35568cj (1 curve)	1	2- 3- 13- 19-	2- 3-  3 -1  4 13- -2 19-
Curve Equation t Generators 35568cj1 [0,0,0,802149,-75954422] 1 [287:13338:1]
35568ck (1 curve)	1	2- 3- 13- 19-	2- 3- -4  3  1 13- -2 19-
Curve Equation t Generators 35568ck1 [0,0,0,-10947,-441790] 1 [121:72:1]

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