Cremona's table of elliptic curves

68614 = 2 · 7 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
68614a (2 curves)	1	2+ 7+ 13+ 29+	2+  2  2 7+  4 13+ -4  2
Curve Equation t Generators 68614a1 [1,1,0,-2369,423077] 2 [-104117:1495606:2197] 68614a2 [1,1,0,-100389,12126665] 2 [45804:1833563:27]
68614b (2 curves)	1	2+ 7+ 13+ 29+	2+ -2  0 7+  0 13+  3  1
Curve Equation t Generators 68614b1 [1,0,1,1179,106472] 1 [-38:103:1] 68614b2 [1,0,1,-10651,-2926740] 1 [4980:29353:27]
68614c (2 curves)	1	2+ 7+ 13+ 29+	2+ -2  3 7+  3 13+ -3 -2
Curve Equation t Generators 68614c1 [1,0,1,48,158] 1 [4:18:1] 68614c2 [1,0,1,-472,-6498] 1 [3540:38171:27]
68614d (2 curves)	2	2+ 7+ 13- 29+	2+ -2  0 7+  4 13-  2 -4
Curve Equation t Generators 68614d1 [1,0,1,-18581,-975648] 2 [-78:63:1]&[10100:5747:64] 68614d2 [1,0,1,-14421,-1423264] 2 [219:2326:1]&[235:2742:1]
68614e (1 curve)	2	2+ 7+ 13- 29+	2+ -3  0 7+  3 13- -6  4
Curve Equation t Generators 68614e1 [1,-1,0,-2578042,1594176052] 1 [841:4089:1]&[7438:675:8]
68614f (1 curve)	2	2+ 7- 13+ 29+	2+ -1  2 7- -3 13+ -4 -6
Curve Equation t Generators 68614f1 [1,1,0,435341,-47555347] 1 [109:1044:1]&[499:-17403:1]
68614g (1 curve)	1	2+ 7- 13+ 29-	2+ -1 -2 7-  1 13+ -4 -6
Curve Equation t Generators 68614g1 [1,1,0,-1246716,-536361314] 1 [7285:610419:1]
68614h (1 curve)	1	2+ 7- 13+ 29-	2+ -1  3 7-  1 13+ -4  4
Curve Equation t Generators 68614h1 [1,1,0,-17241,866533] 1 [82:71:1]
68614i (1 curve)	1	2+ 7- 13+ 29-	2+ -2  1 7-  3 13+  5 -8
Curve Equation t Generators 68614i1 [1,0,1,158687,6479124] 1 [534:15339:1]
68614j (2 curves)	1	2+ 7- 13+ 29-	2+ -2 -3 7-  3 13+ -3 -4
Curve Equation t Generators 68614j1 [1,0,1,-123886130,-531111887070] 3 [5531648072383230398:112707374093213043334:423920170996561] 68614j2 [1,0,1,-10036673235,-387020286080218] 1 [117442:7295832:1]
68614k (1 curve)	1	2+ 7- 13+ 29-	2+ -3  1 7- -2 13+ -2  4
Curve Equation t Generators 68614k1 [1,-1,0,-64,352] 1 [7:11:1]
68614l (1 curve)	1	2+ 7- 13- 29+	2+ -2  0 7-  2 13- -7 -5
Curve Equation t Generators 68614l1 [1,0,1,-1226,-49476] 1 [92:740:1]
68614m (1 curve)	0	2+ 7- 13- 29-	2+  2  4 7-  2 13-  5  5
Curve Equation t 68614m1 [1,1,0,-737688,1022220230] 1
68614n (2 curves)	0	2- 7+ 13+ 29+	2-  2 -2 7+ -4 13+ -4 -2
Curve Equation t 68614n1 [1,1,1,-359044,-131325563] 2 68614n2 [1,1,1,-6632324,-6575238779] 2
68614o (1 curve)	0	2- 7+ 13+ 29+	2-  2  4 7+ -4 13+  5  1
Curve Equation t 68614o1 [1,1,1,-184636,30626461] 1
68614p (2 curves)	1	2- 7+ 13+ 29-	2-  1  3 7+  3 13+  0  4
Curve Equation t Generators 68614p1 [1,0,0,-2454,464372] 1 [-86:246:1] 68614p2 [1,0,0,22051,-12430159] 1 [5790:36893:27]
68614q (3 curves)	1	2- 7+ 13+ 29-	2- -2  0 7+  0 13+ -3  7
Curve Equation t Generators 68614q1 [1,0,0,81130052,25650029040] 1 [-116:127484:1] 68614q2 [1,0,0,-1052348723,-14322538444319] 1 [33960798:4462298353:729] 68614q3 [1,0,0,-87353837178,-9937368906239516] 1 [1850189940:-2927515259962:729]
68614r (1 curve)	1	2- 7+ 13+ 29-	2- -2 -1 7+ -3 13+  5  8
Curve Equation t Generators 68614r1 [1,0,0,26818184,14207817792] 1 [1486:238718:1]
68614s (2 curves)	1	2- 7+ 13+ 29-	2- -2  3 7+ -3 13+ -3  4
Curve Equation t Generators 68614s1 [1,0,0,-733054,-241800534] 1 [9644310:318259943:5832] 68614s2 [1,0,0,-59388599,-176163096383] 1 [13581419808820280274:-7874851662539240014115:40445442797976]
68614t (1 curve)	1	2- 7+ 13+ 29-	2- -3 -1 7+  2 13+ -2 -4
Curve Equation t Generators 68614t1 [1,-1,1,-10848,740835] 1 [465:9569:1]
68614u (1 curve)	1	2- 7+ 13- 29+	2- -2  0 7+ -2 13- -7  5
Curve Equation t Generators 68614u1 [1,0,0,-207113,-108491111] 1 [690:8443:1]
68614v (1 curve)	0	2- 7+ 13- 29-	2-  2 -4 7+ -2 13-  5 -5
Curve Equation t 68614v1 [1,1,1,-4365,463601] 1
68614w (2 curves)	1	2- 7- 13+ 29+	2-  0  0 7-  4 13+ -4 -4
Curve Equation t Generators 68614w1 [1,-1,1,-51070,4812045] 2 [75:-1221:1] 68614w2 [1,-1,1,-835230,294010253] 2 [231:10531:1]
68614x (2 curves)	1	2- 7- 13+ 29+	2- -2 -3 7- -3 13+ -3  2
Curve Equation t Generators 68614x1 [1,0,0,8193,339481] 3 [-34:165:1] 68614x2 [1,0,0,-79687,-14195871] 1 [352:1007:1]
68614y (1 curve)	0	2- 7- 13+ 29-	2-  1  2 7-  3 13+  0  2
Curve Equation t 68614y1 [1,0,0,-809767,-293047223] 1
68614z (2 curves)	0	2- 7- 13- 29+	2- -2  0 7- -4 13-  2  4
Curve Equation t 68614z1 [1,0,0,-3140108,-2140358000] 2 68614z2 [1,0,0,-2437068,-3124473392] 2
68614ba (1 curve)	2	2- 7- 13- 29+	2- -3  0 7- -3 13- -6 -4
Curve Equation t Generators 68614ba1 [1,-1,1,-15255,729135] 1 [85:-246:1]&[-55:1210:1]

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