Cremona's table of elliptic curves

5742 = 2 · 3² · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
5742a (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+ -1  1 11+ -7  4  3
Curve Equation t 5742a1 [1,-1,0,-480,-3968] 1
5742b (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+  2  0 11+  4  6 -2
Curve Equation t 5742b1 [1,-1,0,-546,-4716] 2 5742b2 [1,-1,0,-66,-13068] 2
5742c (4 curves)	0	2+ 3+ 11- 29+	2+ 3+  0 -4 11-  2 -6  2
Curve Equation t 5742c1 [1,-1,0,-5322,150948] 6 5742c2 [1,-1,0,-85182,9590400] 6 5742c3 [1,-1,0,7383,698957] 2 5742c4 [1,-1,0,-87657,9005453] 2
5742d (2 curves)	1	2+ 3+ 11- 29-	2+ 3+  2 -2 11- -4 -2  6
Curve Equation t Generators 5742d1 [1,-1,0,-141,-335] 2 [-7:20:1] 5742d2 [1,-1,0,-1011,12367] 2 [29:68:1]
5742e (2 curves)	1	2+ 3- 11+ 29-	2+ 3- -1  3 11+ -1  2  5
Curve Equation t Generators 5742e1 [1,-1,0,-5265,-159651] 1 [135:1188:1] 5742e2 [1,-1,0,2295,11565909] 1 [135:3717:1]
5742f (2 curves)	1	2+ 3- 11+ 29-	2+ 3- -1  3 11+  4 -3 -5
Curve Equation t Generators 5742f1 [1,-1,0,-1956150,-1052568108] 1 [25779225:213032397:15625] 5742f2 [1,-1,0,4864860,-5606740458] 1 [3587595:607703712:125]
5742g (2 curves)	1	2+ 3- 11+ 29-	2+ 3-  2 -2 11+  2 -2  0
Curve Equation t Generators 5742g1 [1,-1,0,-5346,99220] 2 [-67:425:1] 5742g2 [1,-1,0,15534,671332] 2 [-19:617:1]
5742h (2 curves)	1	2+ 3- 11+ 29-	2+ 3- -4  0 11+ -2  6 -2
Curve Equation t Generators 5742h1 [1,-1,0,81,729] 2 [0:27:1] 5742h2 [1,-1,0,-909,9639] 2 [-9:135:1]
5742i (1 curve)	1	2+ 3- 11- 29+	2+ 3-  1 -1 11-  0  1  1
Curve Equation t Generators 5742i1 [1,-1,0,5841,94477] 1 [17:437:1]
5742j (4 curves)	0	2+ 3- 11- 29-	2+ 3-  0 -4 11- -4  6 -4
Curve Equation t 5742j1 [1,-1,0,-41292,-3216240] 2 5742j2 [1,-1,0,-51732,-1456056] 2 5742j3 [1,-1,0,-153072,19712268] 6 5742j4 [1,-1,0,-2348082,1385447490] 6
5742k (1 curve)	0	2+ 3- 11- 29-	2+ 3-  1  5 11- -3 -2  7
Curve Equation t 5742k1 [1,-1,0,-2529,-48353] 1
5742l (1 curve)	0	2+ 3- 11- 29-	2+ 3- -1  1 11-  5 -2 -3
Curve Equation t 5742l1 [1,-1,0,8242335,4643998717] 1
5742m (2 curves)	0	2+ 3- 11- 29-	2+ 3-  3 -1 11- -4 -3 -1
Curve Equation t 5742m1 [1,-1,0,8397,495477] 1 5742m2 [1,-1,0,-319923,69929973] 3
5742n (2 curves)	0	2+ 3- 11- 29-	2+ 3-  4 -4 11-  0 -2 -8
Curve Equation t 5742n1 [1,-1,0,-5629635,2900781013] 2 5742n2 [1,-1,0,-40749795,-98069678987] 2
5742o (2 curves)	0	2+ 3- 11- 29-	2+ 3- -4  0 11-  2 -2  2
Curve Equation t 5742o1 [1,-1,0,-5004,1848784] 2 5742o2 [1,-1,0,-258444,50255824] 2
5742p (2 curves)	0	2- 3+ 11+ 29+	2- 3+ -2 -2 11+ -4  2  6
Curve Equation t 5742p1 [1,-1,1,-1271,10315] 2 5742p2 [1,-1,1,-9101,-324809] 2
5742q (4 curves)	1	2- 3+ 11+ 29-	2- 3+  0 -4 11+  2  6  2
Curve Equation t Generators 5742q1 [1,-1,1,820,-26161] 6 [27:109:1] 5742q2 [1,-1,1,-9740,-330289] 6 [379:6903:1] 5742q3 [1,-1,1,-47900,-4027697] 2 [150695:5062177:125] 5742q4 [1,-1,1,-766640,-258174161] 2 [1570280145:39255854947:1157625]
5742r (1 curve)	1	2- 3+ 11- 29+	2- 3+  1  1 11- -7 -4  3
Curve Equation t Generators 5742r1 [1,-1,1,-4322,111457] 1 [85:551:1]
5742s (2 curves)	1	2- 3+ 11- 29+	2- 3+ -2  0 11-  4 -6 -2
Curve Equation t Generators 5742s1 [1,-1,1,-4916,132247] 2 [29:101:1] 5742s2 [1,-1,1,-596,353431] 2 [1:593:1]
5742t (2 curves)	1	2- 3- 11+ 29+	2- 3-  0  0 11+  0  2 -4
Curve Equation t Generators 5742t1 [1,-1,1,-71780,-6857337] 2 [-139:717:1] 5742t2 [1,-1,1,-238820,36973959] 2 [557:8469:1]
5742u (1 curve)	1	2- 3- 11+ 29+	2- 3- -3 -3 11+  1  6  5
Curve Equation t Generators 5742u1 [1,-1,1,31,209] 1 [3:16:1]
5742v (4 curves)	0	2- 3- 11+ 29-	2- 3-  2  0 11+  2  2 -4
Curve Equation t 5742v1 [1,-1,1,346,-3787] 2 5742v2 [1,-1,1,-2534,-38347] 4 5742v3 [1,-1,1,-38174,-2861035] 2 5742v4 [1,-1,1,-12974,537941] 2
5742w (2 curves)	0	2- 3- 11- 29+	2- 3-  0  0 11-  6  2  2
Curve Equation t 5742w1 [1,-1,1,-127760,-17552397] 2 5742w2 [1,-1,1,-2044400,-1124603661] 2
5742x (1 curve)	0	2- 3- 11- 29+	2- 3-  3  3 11-  3  2 -1
Curve Equation t 5742x1 [1,-1,1,-401,17259] 1
5742y (1 curve)	1	2- 3- 11- 29-	2- 3- -1  3 11- -4 -5 -7
Curve Equation t Generators 5742y1 [1,-1,1,-68,-417] 1 [23:87:1]

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