Cremona's table of elliptic curves

7744 = 2⁶ · 11²

Class	r	Atkin-Lehner	Eigenvalues
7744a (2 curves)	1	2+ 11+	2+  1  3  0 11+  0  0  0
Curve Equation t Generators 7744a1 [0,1,0,-29,53] 1 [-4:11:1] 7744a2 [0,1,0,-3549,-84691] 1 [9336620:258002371:12167]
7744b (1 curve)	1	2+ 11+	2+ -1 -1  4 11+ -4  4  4
Curve Equation t Generators 7744b1 [0,-1,0,7099,188509] 1 [-2580:22627:125]
7744c (1 curve)	1	2+ 11+	2+ -1 -1 -4 11+  4 -4 -4
Curve Equation t Generators 7744c1 [0,-1,0,59,-163] 1 [4:11:1]
7744d (1 curve)	0	2+ 11-	2+  0 -3  4 11- -3  3 -4
Curve Equation t 7744d1 [0,0,0,-5324,-234256] 1
7744e (1 curve)	2	2+ 11-	2+  0 -3 -4 11-  3 -3  4
Curve Equation t Generators 7744e1 [0,0,0,-44,176] 1 [-8:4:1]&[-2:16:1]
7744f (3 curves)	0	2+ 11-	2+  1 -1  2 11-  4  2  0
Curve Equation t 7744f1 [0,1,0,-161,-1927] 1 7744f2 [0,1,0,-5001,244913] 1 7744f3 [0,1,0,-3785041,2833092073] 1
7744g (1 curve)	0	2+ 11-	2+  1  3 -4 11- -2  8 -6
Curve Equation t 7744g1 [0,1,0,81,1703] 1
7744h (2 curves)	0	2+ 11-	2+ -1  3 -2 11- -4 -6  8
Curve Equation t 7744h1 [0,-1,0,1291,20077] 1 7744h2 [0,-1,0,-37429,2815661] 1
7744i (1 curve)	0	2+ 11-	2+ -1  3  4 11- -2  8  6
Curve Equation t 7744i1 [0,-1,0,81,-1703] 1
7744j (2 curves)	0	2+ 11-	2+  2  3  2 11- -5  3 -2
Curve Equation t 7744j1 [0,-1,0,23071,-519583] 1 7744j2 [0,-1,0,-402849,-100951519] 1
7744k (2 curves)	0	2+ 11-	2+  2  3 -2 11-  5 -3  2
Curve Equation t 7744k1 [0,-1,0,191,321] 1 7744k2 [0,-1,0,-3329,77057] 1
7744l (2 curves)	0	2+ 11-	2+ -2 -1  2 11-  1  5  6
Curve Equation t 7744l1 [0,1,0,-1921,-33057] 1 7744l2 [0,1,0,-19521,4097311] 1
7744m (2 curves)	2	2+ 11-	2+ -2 -1 -2 11- -1 -5 -6
Curve Equation t Generators 7744m1 [0,1,0,-161,-3137] 1 [19:32:1]&[29:132:1] 7744m2 [0,1,0,-232481,43068991] 1 [-323:9196:1]&[243:992:1]
7744n (1 curve)	0	2+ 11-	2+  3  3  2 11-  0  6  4
Curve Equation t 7744n1 [0,0,0,-1936,-42592] 1
7744o (2 curves)	0	2- 11+	2-  0 -2  0 11+  4  8  0
Curve Equation t 7744o1 [0,0,0,-11,0] 2 7744o2 [0,0,0,44,0] 2
7744p (2 curves)	0	2- 11+	2-  0 -2  0 11+ -4 -8  0
Curve Equation t 7744p1 [0,0,0,-1331,0] 2 7744p2 [0,0,0,5324,0] 2
7744q (1 curve)	0	2- 11+	2-  1 -1  4 11+  4 -4  4
Curve Equation t 7744q1 [0,1,0,59,163] 1
7744r (1 curve)	0	2- 11+	2-  1 -1 -4 11+ -4  4 -4
Curve Equation t 7744r1 [0,1,0,7099,-188509] 1
7744s (2 curves)	0	2- 11+	2- -1  3  0 11+  0  0  0
Curve Equation t 7744s1 [0,-1,0,-29,-53] 1 7744s2 [0,-1,0,-3549,84691] 1
7744t (4 curves)	1	2- 11-	2-  0  2  0 11-  6 -2  0
Curve Equation t Generators 7744t1 [0,0,0,121,0] 2 [14700:343070:27] 7744t2 [0,0,0,-484,0] 4 [2178:101640:1] 7744t3 [0,0,0,-5324,-149072] 2 [747208:34855260:343] 7744t4 [0,0,0,-5324,149072] 2 [26:168:1]
7744u (1 curve)	1	2- 11-	2-  0 -3  4 11-  3 -3 -4
Curve Equation t Generators 7744u1 [0,0,0,-44,-176] 1 [12:32:1]
7744v (1 curve)	1	2- 11-	2-  0 -3 -4 11- -3  3  4
Curve Equation t Generators 7744v1 [0,0,0,-5324,234256] 1 [0:484:1]
7744w (1 curve)	1	2- 11-	2-  1 -1  4 11- -2  0  2
Curve Equation t Generators 7744w1 [0,1,0,-1371,-20077] 1 [31730:500819:125]
7744x (2 curves)	1	2- 11-	2-  1  3  2 11- -4 -6 -8
Curve Equation t Generators 7744x1 [0,1,0,1291,-20077] 1 [326:5929:1] 7744x2 [0,1,0,-37429,-2815661] 1 [6967890:104937371:19683]
7744y (3 curves)	1	2- 11-	2- -1 -1 -2 11-  4  2  0
Curve Equation t Generators 7744y1 [0,-1,0,-161,1927] 1 [26:121:1] 7744y2 [0,-1,0,-5001,-244913] 1 [5718:77077:27] 7744y3 [0,-1,0,-3785041,-2833092073] 1 [106457696080117494:6105798130623632441:24649793075727]
7744z (1 curve)	1	2- 11-	2- -1 -1 -4 11- -2  0 -2
Curve Equation t Generators 7744z1 [0,-1,0,-1371,20077] 1 [4:121:1]
7744ba (1 curve)	1	2- 11-	2-  2 -1  2 11-  1 -3 -2
Curve Equation t Generators 7744ba1 [0,-1,0,4,2] 1 [7:18:1]
7744bb (2 curves)	1	2- 11-	2-  2 -1  2 11- -1 -5  6
Curve Equation t Generators 7744bb1 [0,-1,0,-161,3137] 1 [7:48:1] 7744bb2 [0,-1,0,-232481,-43068991] 1 [7095855540519005:517365993074953488:1323391543739]
7744bc (2 curves)	1	2- 11-	2-  2 -1 -2 11-  1  5 -6
Curve Equation t Generators 7744bc1 [0,-1,0,-1921,33057] 1 [27:12:1] 7744bc2 [0,-1,0,-19521,-4097311] 1 [364112083:-7829166036:704969]
7744bd (1 curve)	1	2- 11-	2-  2 -1 -2 11- -1  3  2
Curve Equation t Generators 7744bd1 [0,-1,0,444,-4486] 1 [323:5808:1]
7744be (1 curve)	1	2- 11-	2- -2 -1  2 11- -1  3 -2
Curve Equation t Generators 7744be1 [0,1,0,444,4486] 1 [-3:56:1]
7744bf (1 curve)	1	2- 11-	2- -2 -1 -2 11-  1 -3  2
Curve Equation t Generators 7744bf1 [0,1,0,4,-2] 1 [1:2:1]
7744bg (2 curves)	1	2- 11-	2- -2  3  2 11-  5 -3 -2
Curve Equation t Generators 7744bg1 [0,1,0,191,-321] 1 [5:28:1] 7744bg2 [0,1,0,-3329,-77057] 1 [1061:34524:1]
7744bh (2 curves)	1	2- 11-	2- -2  3 -2 11- -5  3  2
Curve Equation t Generators 7744bh1 [0,1,0,23071,519583] 1 [161:2904:1] 7744bh2 [0,1,0,-402849,100951519] 1 [385:1752:1]
7744bi (1 curve)	1	2- 11-	2-  3 -1  0 11- -6  4 -6
Curve Equation t Generators 7744bi1 [0,0,0,242,-18634] 1 [5115:70543:27]
7744bj (1 curve)	1	2- 11-	2- -3 -1  0 11- -6  4  6
Curve Equation t Generators 7744bj1 [0,0,0,242,18634] 1 [-11:121:1]
7744bk (1 curve)	1	2- 11-	2- -3  3 -2 11-  0  6 -4
Curve Equation t Generators 7744bk1 [0,0,0,-1936,42592] 1 [33:121:1]

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