Cremona's table of elliptic curves

1344 = 2⁶ · 3 · 7

Class	r	Atkin-Lehner	Eigenvalues
1344a (6 curves)	1	2+ 3+ 7+	2+ 3+  2 7+ -4  2 -6 -4
Curve Equation t Generators 1344a1 [0,-1,0,63,-63] 2 [3:12:1] 1344a2 [0,-1,0,-257,-255] 4 [-8:35:1] 1344a3 [0,-1,0,-3137,-66495] 4 [67:140:1] 1344a4 [0,-1,0,-2497,48577] 2 [33:32:1] 1344a5 [0,-1,0,-50177,-4309503] 2 [4771:329140:1] 1344a6 [0,-1,0,-2177,-108927] 2 [596120:41160343:125]
1344b (4 curves)	1	2+ 3+ 7+	2+ 3+ -2 7+  0  2  6  4
Curve Equation t Generators 1344b1 [0,-1,0,-29,-51] 2 [13:40:1] 1344b2 [0,-1,0,-49,49] 4 [-5:12:1] 1344b3 [0,-1,0,-609,5985] 2 [17:16:1] 1344b4 [0,-1,0,191,193] 2 [3:28:1]
1344c (2 curves)	0	2+ 3+ 7-	2+ 3+  0 7- -2  2  4 -4
Curve Equation t 1344c1 [0,-1,0,-8,-6] 2 1344c2 [0,-1,0,7,-39] 2
1344d (4 curves)	0	2+ 3+ 7-	2+ 3+  0 7-  6 -2  0  4
Curve Equation t 1344d1 [0,-1,0,27,-27] 2 1344d2 [0,-1,0,-113,-111] 2 1344d3 [0,-1,0,-453,-3675] 2 1344d4 [0,-1,0,-7313,-238287] 2
1344e (2 curves)	0	2+ 3+ 7-	2+ 3+  4 7-  2  2  0  4
Curve Equation t 1344e1 [0,-1,0,-376,2338] 2 1344e2 [0,-1,0,839,13273] 2
1344f (2 curves)	0	2+ 3- 7+	2+ 3-  0 7+  2  2  4  4
Curve Equation t 1344f1 [0,1,0,-8,6] 2 1344f2 [0,1,0,7,39] 2
1344g (6 curves)	0	2+ 3- 7+	2+ 3-  2 7+  4 -6  2  4
Curve Equation t 1344g1 [0,1,0,-257,3423] 2 1344g2 [0,1,0,-5377,149855] 4 1344g3 [0,1,0,-6657,71775] 4 1344g4 [0,1,0,-86017,9681503] 2 1344g5 [0,1,0,-58497,-5412897] 2 1344g6 [0,1,0,24703,579807] 4
1344h (2 curves)	0	2+ 3- 7+	2+ 3-  4 7+ -2  2  0 -4
Curve Equation t 1344h1 [0,1,0,-376,-2338] 2 1344h2 [0,1,0,839,-13273] 2
1344i (2 curves)	0	2+ 3- 7+	2+ 3- -4 7+ -2  6 -4  4
Curve Equation t 1344i1 [0,1,0,-5,-21] 2 1344i2 [0,1,0,-145,-721] 2
1344j (4 curves)	1	2+ 3- 7-	2+ 3- -2 7-  0 -6 -2 -4
Curve Equation t Generators 1344j1 [0,1,0,-29,387] 2 [-2:21:1] 1344j2 [0,1,0,-1009,11951] 4 [5:84:1] 1344j3 [0,1,0,-1569,-3393] 2 [-21:144:1] 1344j4 [0,1,0,-16129,783071] 2 [74:15:1]
1344k (4 curves)	0	2- 3+ 7+	2- 3+  2 7+  4  6 -2 -4
Curve Equation t 1344k1 [0,-1,0,-12,18] 2 1344k2 [0,-1,0,-57,-135] 4 1344k3 [0,-1,0,-897,-10047] 2 1344k4 [0,-1,0,63,-735] 2
1344l (4 curves)	0	2- 3+ 7+	2- 3+ -2 7+  0 -6 -2  4
Curve Equation t 1344l1 [0,-1,0,-29,-387] 2 1344l2 [0,-1,0,-1009,-11951] 4 1344l3 [0,-1,0,-16129,-783071] 2 1344l4 [0,-1,0,-1569,3393] 2
1344m (6 curves)	1	2- 3+ 7-	2- 3+  2 7- -4 -6  2 -4
Curve Equation t Generators 1344m1 [0,-1,0,-257,-3423] 2 [23:48:1] 1344m2 [0,-1,0,-5377,-149855] 4 [535:12240:1] 1344m3 [0,-1,0,-86017,-9681503] 2 [71355:1408144:125] 1344m4 [0,-1,0,-6657,-71775] 4 [-25:280:1] 1344m5 [0,-1,0,-58497,5412897] 4 [-192:3087:1] 1344m6 [0,-1,0,24703,-579807] 2 [423:9240:1]
1344n (4 curves)	1	2- 3+ 7-	2- 3+ -2 7-  0 -2  2  4
Curve Equation t Generators 1344n1 [0,-1,0,-84,-270] 2 [11:4:1] 1344n2 [0,-1,0,-89,-231] 4 [-5:8:1] 1344n3 [0,-1,0,-449,3585] 4 [-13:84:1] 1344n4 [0,-1,0,191,-1631] 2 [23:120:1]
1344o (2 curves)	1	2- 3+ 7-	2- 3+ -4 7-  2  6 -4 -4
Curve Equation t Generators 1344o1 [0,-1,0,-5,21] 2 [1:4:1] 1344o2 [0,-1,0,-145,721] 2 [1:24:1]
1344p (4 curves)	1	2- 3- 7+	2- 3-  0 7+ -6 -2  0 -4
Curve Equation t Generators 1344p1 [0,1,0,27,27] 2 [3:12:1] 1344p2 [0,1,0,-113,111] 2 [-5:24:1] 1344p3 [0,1,0,-453,3675] 2 [11:12:1] 1344p4 [0,1,0,-7313,238287] 2 [43:72:1]
1344q (4 curves)	1	2- 3- 7+	2- 3- -2 7+  0 -2  2 -4
Curve Equation t Generators 1344q1 [0,1,0,-84,270] 2 [9:18:1] 1344q2 [0,1,0,-89,231] 4 [-5:24:1] 1344q3 [0,1,0,-449,-3585] 2 [-11:12:1] 1344q4 [0,1,0,191,1631] 4 [-5:24:1]
1344r (6 curves)	0	2- 3- 7-	2- 3-  2 7-  4  2 -6  4
Curve Equation t 1344r1 [0,1,0,63,63] 2 1344r2 [0,1,0,-257,255] 4 1344r3 [0,1,0,-2497,-48577] 2 1344r4 [0,1,0,-3137,66495] 4 1344r5 [0,1,0,-50177,4309503] 2 1344r6 [0,1,0,-2177,108927] 2
1344s (4 curves)	0	2- 3- 7-	2- 3-  2 7- -4  6 -2  4
Curve Equation t 1344s1 [0,1,0,-12,-18] 2 1344s2 [0,1,0,-57,135] 4 1344s3 [0,1,0,-897,10047] 2 1344s4 [0,1,0,63,735] 2
1344t (4 curves)	0	2- 3- 7-	2- 3- -2 7-  0  2  6 -4
Curve Equation t 1344t1 [0,1,0,-29,51] 2 1344t2 [0,1,0,-49,-49] 4 1344t3 [0,1,0,-609,-5985] 2 1344t4 [0,1,0,191,-193] 2

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