Cremona's table of elliptic curves

63840 = 2⁵ · 3 · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
63840a (1 curve)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+ -3  7  3 19-
Curve Equation t 63840a1 [0,-1,0,-56,-6300] 1
63840b (4 curves)	2	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+ -4  2 -6 19-
Curve Equation t Generators 63840b1 [0,-1,0,-5986,180136] 4 [-82:336:1]&[6:380:1] 63840b2 [0,-1,0,-4656,261000] 2 [13:450:1]&[554:4125:8] 63840b3 [0,-1,0,-7336,94276] 2 [-72:494:1]&[9:170:1] 63840b4 [0,-1,0,-95761,11437921] 2 [195:376:1]&[2483:122784:1]
63840c (4 curves)	2	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7- -4 -2  2 19+
Curve Equation t Generators 63840c1 [0,-1,0,-446,3696] 4 [-10:84:1]&[-5:76:1] 63840c2 [0,-1,0,79,11361] 2 [-5:104:1]&[43:304:1] 63840c3 [0,-1,0,-1016,-7020] 2 [-20:70:1]&[-11:52:1] 63840c4 [0,-1,0,-7096,232456] 2 [65:204:1]&[85:486:1]
63840d (1 curve)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7- -6  2 -2 19+
Curve Equation t 63840d1 [0,-1,0,-141,49701] 1
63840e (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -1 -3  7 19-
Curve Equation t Generators 63840e1 [0,-1,0,230178144,1249140909096] 1 [29193:5731236:1]
63840f (4 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -4 -6 -2 19-
Curve Equation t Generators 63840f1 [0,-1,0,-586,-4760] 4 [-12:20:1] 63840f2 [0,-1,0,744,-24444] 2 [121:1350:1] 63840f3 [0,-1,0,-2161,33985] 2 [-41:228:1] 63840f4 [0,-1,0,-9136,-333080] 2 [141:1078:1]
63840g (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -6  2  2 19-
Curve Equation t Generators 63840g1 [0,-1,0,-83741,-9299595] 1 [1577112863:50062336124:1442897]
63840h (1 curve)	0	2+ 3+ 5- 7+ 19+	2+ 3+ 5- 7+ -2 -2  6 19+
Curve Equation t 63840h1 [0,-1,0,4115,902725] 1
63840i (4 curves)	0	2+ 3+ 5- 7+ 19+	2+ 3+ 5- 7+  4  2 -6 19+
Curve Equation t 63840i1 [0,-1,0,-750,-3600] 4 63840i2 [0,-1,0,2575,-29535] 2 63840i3 [0,-1,0,-5880,172872] 2 63840i4 [0,-1,0,-10200,-392940] 2
63840j (1 curve)	0	2+ 3+ 5- 7+ 19+	2+ 3+ 5- 7+ -5 -5  0 19+
Curve Equation t 63840j1 [0,-1,0,-189560,-103661208] 1
63840k (4 curves)	1	2+ 3+ 5- 7+ 19-	2+ 3+ 5- 7+  0 -2  2 19-
Curve Equation t Generators 63840k1 [0,-1,0,-610,2392] 4 [-2:60:1] 63840k2 [0,-1,0,2240,16072] 2 [93:1010:1] 63840k3 [0,-1,0,-5265,-143775] 2 [-40:35:1] 63840k4 [0,-1,0,-7960,275812] 4 [474:745:8]
63840l (1 curve)	1	2+ 3+ 5- 7+ 19-	2+ 3+ 5- 7+ -2 -2  2 19-
Curve Equation t Generators 63840l1 [0,-1,0,195,10197] 1 [-1:100:1]
63840m (2 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  6 -6 -6 19+
Curve Equation t Generators 63840m1 [0,-1,0,590,-7700] 2 [30:190:1] 63840m2 [0,-1,0,-4065,-75663] 2 [-31:140:1]
63840n (2 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -6 -6 -4 19+
Curve Equation t Generators 63840n1 [0,-1,0,-4270,108832] 2 [24:140:1] 63840n2 [0,-1,0,-4200,112500] 2 [20:190:1]
63840o (1 curve)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+  2  6  2 19-
Curve Equation t Generators 63840o1 [0,1,0,5242979,1913331179] 1 [-295:18468:1]
63840p (4 curves)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+  4 -2  2 19-
Curve Equation t Generators 63840p1 [0,1,0,-446,-3696] 4 [114:1200:1] 63840p2 [0,1,0,79,-11361] 2 [14145:151008:125] 63840p3 [0,1,0,-1016,7020] 2 [58824:610125:512] 63840p4 [0,1,0,-7096,-232456] 2 [3477:27080:27]
63840q (1 curve)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+  6  2 -2 19-
Curve Equation t Generators 63840q1 [0,1,0,-141,-49701] 1 [185:2508:1]
63840r (4 curves)	1	2+ 3- 5+ 7- 19+	2+ 3- 5+ 7- -4 -2  6 19+
Curve Equation t Generators 63840r1 [0,1,0,-3106,-67456] 4 [344:6300:1] 63840r2 [0,1,0,-1681,-128161] 2 [42905:789096:125] 63840r3 [0,1,0,-4576,1340] 2 [9309:169750:27] 63840r4 [0,1,0,-49656,-4275576] 2 [3018:44415:8]
63840s (4 curves)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7- -4  2  6 19-
Curve Equation t 63840s1 [0,1,0,-3216106,2217759344] 4 63840s2 [0,1,0,-2629576,3052508840] 2 63840s3 [0,1,0,-3809856,1341146844] 2 63840s4 [0,1,0,-51450481,142029918719] 2
63840t (1 curve)	0	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+ -2  6  6 19-
Curve Equation t 63840t1 [0,1,0,-285,1995] 1
63840u (2 curves)	0	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+  6 -6 -4 19-
Curve Equation t 63840u1 [0,1,0,-4270,-108832] 2 63840u2 [0,1,0,-4200,-112500] 2
63840v (2 curves)	2	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+ -6 -6 -6 19-
Curve Equation t Generators 63840v1 [0,1,0,590,7700] 2 [-10:30:1]&[8:114:1] 63840v2 [0,1,0,-4065,75663] 2 [-69:180:1]&[3:252:1]
63840w (4 curves)	0	2+ 3- 5- 7- 19+	2+ 3- 5- 7- -4  2 -6 19+
Curve Equation t 63840w1 [0,1,0,-11970,-508032] 4 63840w2 [0,1,0,-11025,-590625] 2 63840w3 [0,1,0,-12920,-423672] 4 63840w4 [0,1,0,-191520,-32324292] 2
63840x (1 curve)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7-  2 -2  6 19-
Curve Equation t Generators 63840x1 [0,1,0,4115,-902725] 1 [425:-8820:1]
63840y (4 curves)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7- -4  2 -6 19-
Curve Equation t Generators 63840y1 [0,1,0,-750,3600] 4 [0:60:1] 63840y2 [0,1,0,2575,29535] 2 [133:1656:1] 63840y3 [0,1,0,-5880,-172872] 2 [-42:42:1] 63840y4 [0,1,0,-10200,392940] 2 [63:66:1]
63840z (2 curves)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7- -4 -4  2 19-
Curve Equation t Generators 63840z1 [0,1,0,170,-172] 2 [8:42:1] 63840z2 [0,1,0,-705,-2097] 2 [-9:60:1]
63840ba (1 curve)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7-  5 -5  0 19-
Curve Equation t Generators 63840ba1 [0,1,0,-189560,103661208] 1 [-74:10830:1]
63840bb (2 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  2  2  6 19+
Curve Equation t 63840bb1 [0,-1,0,-14306,805956] 2 63840bb2 [0,-1,0,-242401,46014385] 2
63840bc (4 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  4  2  6 19+
Curve Equation t 63840bc1 [0,-1,0,-3216106,-2217759344] 4 63840bc2 [0,-1,0,-2629576,-3052508840] 2 63840bc3 [0,-1,0,-3809856,-1341146844] 2 63840bc4 [0,-1,0,-51450481,-142029918719] 2
63840bd (4 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+ -4  2 -2 19+
Curve Equation t 63840bd1 [0,-1,0,-966,-10584] 4 63840bd2 [0,-1,0,784,-46284] 2 63840bd3 [0,-1,0,-2961,49665] 2 63840bd4 [0,-1,0,-15216,-717384] 2
63840be (1 curve)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  5 -1  0 19+
Curve Equation t 63840be1 [0,-1,0,-96,-360] 1
63840bf (4 curves)	1	2- 3+ 5+ 7+ 19-	2- 3+ 5+ 7+  0  6 -6 19-
Curve Equation t Generators 63840bf1 [0,-1,0,-1006,-3944] 4 [-22:84:1] 63840bf2 [0,-1,0,3744,-34344] 2 [1530:22113:8] 63840bf3 [0,-1,0,-8881,322081] 4 [-17:684:1] 63840bf4 [0,-1,0,-12976,-564140] 2 [-518:159:8]
63840bg (4 curves)	1	2- 3+ 5+ 7+ 19-	2- 3+ 5+ 7+  4 -2  6 19-
Curve Equation t Generators 63840bg1 [0,-1,0,-3106,67456] 4 [26:60:1] 63840bg2 [0,-1,0,-1681,128161] 2 [83:744:1] 63840bg3 [0,-1,0,-4576,-1340] 2 [104:798:1] 63840bg4 [0,-1,0,-49656,4275576] 2 [1194:3267:8]
63840bh (1 curve)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -2  6  2 19+
Curve Equation t Generators 63840bh1 [0,-1,0,5242979,-1913331179] 1 [19939965:1280613292:12167]
63840bi (2 curves)	1	2- 3+ 5- 7+ 19+	2- 3+ 5- 7+  4 -4  2 19+
Curve Equation t Generators 63840bi1 [0,-1,0,170,172] 2 [4:30:1] 63840bi2 [0,-1,0,-705,2097] 2 [-16:95:1]
63840bj (4 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  0 -2  6 19-
Curve Equation t 63840bj1 [0,-1,0,-2630,-46728] 4 63840bj2 [0,-1,0,3040,-225900] 4 63840bj3 [0,-1,0,-9280,293752] 2 63840bj4 [0,-1,0,-41105,-3193983] 2
63840bk (2 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+ -2  2  0 19-
Curve Equation t 63840bk1 [0,-1,0,-470,-3768] 2 63840bk2 [0,-1,0,-400,-5000] 2
63840bl (1 curve)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  3  7  0 19-
Curve Equation t 63840bl1 [0,-1,0,-85440,9864600] 1
63840bm (4 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  4  2 -6 19-
Curve Equation t 63840bm1 [0,-1,0,-11970,508032] 4 63840bm2 [0,-1,0,-11025,590625] 4 63840bm3 [0,-1,0,-12920,423672] 2 63840bm4 [0,-1,0,-191520,32324292] 2
63840bn (1 curve)	0	2- 3+ 5- 7- 19+	2- 3+ 5- 7-  2  6  6 19+
Curve Equation t 63840bn1 [0,-1,0,-285,-1995] 1
63840bo (4 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  4 -2  2 19-
Curve Equation t Generators 63840bo1 [0,-1,0,-45190,3694600] 4 [-150:2660:1] 63840bo2 [0,-1,0,-19920,7778232] 2 [-131:2850:1] 63840bo3 [0,-1,0,-71440,-1061900] 2 [1185:39710:1] 63840bo4 [0,-1,0,-722065,236404225] 4 [365:4620:1]
63840bp (1 curve)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  1 -3  7 19+
Curve Equation t Generators 63840bp1 [0,1,0,230178144,-1249140909096] 1 [10247390382:1921152852822:357911]
63840bq (4 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  4 -6 -2 19+
Curve Equation t Generators 63840bq1 [0,1,0,-586,4760] 4 [-4:84:1] 63840bq2 [0,1,0,744,24444] 2 [15:198:1] 63840bq3 [0,1,0,-2161,-33985] 2 [-19:24:1] 63840bq4 [0,1,0,-9136,333080] 2 [59:54:1]
63840br (1 curve)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  6  2  2 19+
Curve Equation t Generators 63840br1 [0,1,0,-83741,9299595] 1 [181:324:1]
63840bs (4 curves)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  0  6 -6 19+
Curve Equation t 63840bs1 [0,1,0,-1006,3944] 4 63840bs2 [0,1,0,3744,34344] 4 63840bs3 [0,1,0,-8881,-322081] 2 63840bs4 [0,1,0,-12976,564140] 2
63840bt (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  3  7  3 19+
Curve Equation t 63840bt1 [0,1,0,-56,6300] 1
63840bu (4 curves)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  4  2 -6 19+
Curve Equation t 63840bu1 [0,1,0,-5986,-180136] 4 63840bu2 [0,1,0,-4656,-261000] 2 63840bu3 [0,1,0,-7336,-94276] 2 63840bu4 [0,1,0,-95761,-11437921] 2
63840bv (2 curves)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7- -2  2  6 19-
Curve Equation t Generators 63840bv1 [0,1,0,-14306,-805956] 2 [274:3990:1] 63840bv2 [0,1,0,-242401,-46014385] 2 [-286:21:1]
63840bw (4 curves)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7-  4  2 -2 19-
Curve Equation t Generators 63840bw1 [0,1,0,-966,10584] 4 [-4:120:1] 63840bw2 [0,1,0,784,46284] 2 [199:2850:1] 63840bw3 [0,1,0,-2961,-49665] 2 [-2495:5424:125] 63840bw4 [0,1,0,-15216,717384] 2 [134:1050:1]
63840bx (1 curve)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7- -5 -1  0 19-
Curve Equation t Generators 63840bx1 [0,1,0,-96,360] 1 [6:6:1]
63840by (4 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+ -4 -2  2 19+
Curve Equation t 63840by1 [0,1,0,-45190,-3694600] 4 63840by2 [0,1,0,-19920,-7778232] 4 63840by3 [0,1,0,-71440,1061900] 2 63840by4 [0,1,0,-722065,-236404225] 2
63840bz (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  0 -2  2 19+
Curve Equation t Generators 63840bz1 [0,1,0,-610,-2392] 4 [-14:60:1] 63840bz2 [0,1,0,2240,-16072] 2 [43:402:1] 63840bz3 [0,1,0,-5265,143775] 4 [-45:540:1] 63840bz4 [0,1,0,-7960,-275812] 2 [-406:39:8]
63840ca (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  0 -2  6 19+
Curve Equation t Generators 63840ca1 [0,1,0,-2630,46728] 4 [-2:228:1] 63840ca2 [0,1,0,3040,225900] 2 [55:750:1] 63840ca3 [0,1,0,-9280,-293752] 2 [-37:18:1] 63840ca4 [0,1,0,-41105,3193983] 4 [-233:420:1]
63840cb (2 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  2  2  0 19+
Curve Equation t Generators 63840cb1 [0,1,0,-470,3768] 2 [21:60:1] 63840cb2 [0,1,0,-400,5000] 2 [-10:90:1]
63840cc (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  2 -2  2 19+
Curve Equation t Generators 63840cc1 [0,1,0,195,-10197] 1 [21:60:1]
63840cd (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7- -3  7  0 19+
Curve Equation t Generators 63840cd1 [0,1,0,-85440,-9864600] 1 [470:7350:1]

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