Cremona's table of elliptic curves

11712 = 2⁶ · 3 · 61

Class	r	Atkin-Lehner	Eigenvalues
11712a (1 curve)	1	2+ 3+ 61+	2+ 3+ -1  1  1  5  2  0
Curve Equation t Generators 11712a1 [0,-1,0,-13121,-574143] 1 [239:3144:1]
11712b (2 curves)	1	2+ 3+ 61+	2+ 3+ -1 -2 -2 -4 -7  0
Curve Equation t Generators 11712b1 [0,-1,0,-321,17217] 1 [17:128:1] 11712b2 [0,-1,0,-32961,-2883903] 1 [401:6944:1]
11712c (1 curve)	1	2+ 3+ 61+	2+ 3+ -1 -3  5  1  2  4
Curve Equation t Generators 11712c1 [0,-1,0,6559,47457] 1 [671:17496:1]
11712d (2 curves)	1	2+ 3+ 61+	2+ 3+  2  0  2 -2 -4  4
Curve Equation t Generators 11712d1 [0,-1,0,-77,285] 2 [4:5:1] 11712d2 [0,-1,0,-17,657] 2 [16:65:1]
11712e (2 curves)	1	2+ 3+ 61+	2+ 3+  3 -1  3  1 -6  4
Curve Equation t Generators 11712e1 [0,-1,0,-289,10657] 1 [19:108:1] 11712e2 [0,-1,0,2591,-277919] 1 [115:1236:1]
11712f (1 curve)	0	2+ 3+ 61-	2+ 3+ -1 -2 -6  0  3  0
Curve Equation t 11712f1 [0,-1,0,-58401,-5460831] 1
11712g (2 curves)	0	2+ 3+ 61-	2+ 3+  2 -2  0  6  0  0
Curve Equation t 11712g1 [0,-1,0,-117,405] 2 11712g2 [0,-1,0,-657,-5967] 2
11712h (1 curve)	0	2+ 3- 61+	2+ 3- -1  3  3  5 -6  8
Curve Equation t 11712h1 [0,1,0,-1,-289] 1
11712i (1 curve)	2	2+ 3- 61+	2+ 3- -1 -5 -5 -1 -6  2
Curve Equation t Generators 11712i1 [0,1,0,-401,2991] 1 [-17:72:1]&[7:24:1]
11712j (4 curves)	0	2+ 3- 61+	2+ 3-  2  0  0  2  6 -4
Curve Equation t 11712j1 [0,1,0,-4637,149283] 2 11712j2 [0,1,0,-79057,8528975] 4 11712j3 [0,1,0,-83937,7411455] 2 11712j4 [0,1,0,-1264897,547137503] 2
11712k (2 curves)	0	2+ 3- 61+	2+ 3-  2  4  2 -2  4  4
Curve Equation t 11712k1 [0,1,0,243,243] 2 11712k2 [0,1,0,-977,975] 2
11712l (4 curves)	0	2+ 3- 61+	2+ 3-  2  4  4  2  6 -4
Curve Equation t 11712l1 [0,1,0,-97,-5377] 2 11712l2 [0,1,0,-5217,-145665] 4 11712l3 [0,1,0,-83297,-9281025] 2 11712l4 [0,1,0,-9057,93183] 2
11712m (1 curve)	0	2+ 3- 61+	2+ 3-  3 -3  1  5  2  8
Curve Equation t 11712m1 [0,1,0,-2049,39519] 1
11712n (1 curve)	1	2+ 3- 61-	2+ 3-  1  2 -2 -4  1 -4
Curve Equation t Generators 11712n1 [0,1,0,-454145,-117982113] 1 [811:6912:1]
11712o (2 curves)	1	2+ 3- 61-	2+ 3- -2  2 -2  2 -2 -4
Curve Equation t Generators 11712o1 [0,1,0,-69,171] 2 [-9:12:1] 11712o2 [0,1,0,111,1071] 2 [-6:15:1]
11712p (1 curve)	1	2+ 3- 61-	2+ 3- -3  2  6 -4  5 -4
Curve Equation t Generators 11712p1 [0,1,0,63,159] 1 [11:48:1]
11712q (1 curve)	2	2- 3+ 61+	2- 3+ -1 -3 -3  5 -6 -8
Curve Equation t Generators 11712q1 [0,-1,0,-1,289] 1 [-5:12:1]&[-3:16:1]
11712r (1 curve)	0	2- 3+ 61+	2- 3+ -1  5  5 -1 -6 -2
Curve Equation t 11712r1 [0,-1,0,-401,-2991] 1
11712s (4 curves)	0	2- 3+ 61+	2- 3+  2  0  0  2  6  4
Curve Equation t 11712s1 [0,-1,0,-4637,-149283] 2 11712s2 [0,-1,0,-79057,-8528975] 4 11712s3 [0,-1,0,-1264897,-547137503] 2 11712s4 [0,-1,0,-83937,-7411455] 2
11712t (2 curves)	0	2- 3+ 61+	2- 3+  2 -4 -2 -2  4 -4
Curve Equation t 11712t1 [0,-1,0,243,-243] 2 11712t2 [0,-1,0,-977,-975] 2
11712u (4 curves)	0	2- 3+ 61+	2- 3+  2 -4 -4  2  6  4
Curve Equation t 11712u1 [0,-1,0,-97,5377] 2 11712u2 [0,-1,0,-5217,145665] 4 11712u3 [0,-1,0,-9057,-93183] 2 11712u4 [0,-1,0,-83297,9281025] 2
11712v (1 curve)	0	2- 3+ 61+	2- 3+  3  1  5 -5  6  2
Curve Equation t 11712v1 [0,-1,0,-6544,205966] 1
11712w (1 curve)	0	2- 3+ 61+	2- 3+  3  3 -1  3 -2  6
Curve Equation t 11712w1 [0,-1,0,16,-18] 1
11712x (1 curve)	0	2- 3+ 61+	2- 3+  3  3 -1  5  2 -8
Curve Equation t 11712x1 [0,-1,0,-2049,-39519] 1
11712y (1 curve)	0	2- 3+ 61+	2- 3+ -3 -2  2  4  3  8
Curve Equation t 11712y1 [0,-1,0,-97,-479] 1
11712z (1 curve)	1	2- 3+ 61-	2- 3+  1 -2  2 -4  1  4
Curve Equation t Generators 11712z1 [0,-1,0,-454145,117982113] 1 [469:2816:1]
11712ba (2 curves)	1	2- 3+ 61-	2- 3+ -2  2  4 -2  4 -8
Curve Equation t Generators 11712ba1 [0,-1,0,-24,30] 2 [10:5:8] 11712ba2 [0,-1,0,-329,2409] 2 [7:20:1]
11712bb (2 curves)	1	2- 3+ 61-	2- 3+ -2 -2  2  2 -2  4
Curve Equation t Generators 11712bb1 [0,-1,0,-69,-171] 2 [-4:5:1] 11712bb2 [0,-1,0,111,-1071] 2 [9:24:1]
11712bc (1 curve)	1	2- 3+ 61-	2- 3+ -3 -2 -6 -4  5  4
Curve Equation t Generators 11712bc1 [0,-1,0,63,-159] 1 [5:16:1]
11712bd (1 curve)	1	2- 3- 61+	2- 3- -1 -1 -1  5  2  0
Curve Equation t Generators 11712bd1 [0,1,0,-13121,574143] 1 [79:192:1]
11712be (2 curves)	1	2- 3- 61+	2- 3- -1  2  2 -4 -7  0
Curve Equation t Generators 11712be1 [0,1,0,-321,-17217] 1 [111:1152:1] 11712be2 [0,1,0,-32961,2883903] 1 [143:1056:1]
11712bf (1 curve)	1	2- 3- 61+	2- 3- -1  3 -5  1  2 -4
Curve Equation t Generators 11712bf1 [0,1,0,6559,-47457] 1 [31:432:1]
11712bg (2 curves)	1	2- 3- 61+	2- 3-  2  0 -2 -2 -4 -4
Curve Equation t Generators 11712bg1 [0,1,0,-77,-285] 2 [70:585:1] 11712bg2 [0,1,0,-17,-657] 2 [8730:73281:125]
11712bh (2 curves)	1	2- 3- 61+	2- 3-  3  1 -3  1 -6 -4
Curve Equation t Generators 11712bh1 [0,1,0,-289,-10657] 1 [71:576:1] 11712bh2 [0,1,0,2591,277919] 1 [55:768:1]
11712bi (1 curve)	1	2- 3- 61+	2- 3-  3 -1 -5 -5  6 -2
Curve Equation t Generators 11712bi1 [0,1,0,-6544,-205966] 1 [125:972:1]
11712bj (1 curve)	1	2- 3- 61+	2- 3-  3 -3  1  3 -2 -6
Curve Equation t Generators 11712bj1 [0,1,0,16,18] 1 [1:6:1]
11712bk (1 curve)	1	2- 3- 61+	2- 3- -3  2 -2  4  3 -8
Curve Equation t Generators 11712bk1 [0,1,0,-97,479] 1 [-1:24:1]
11712bl (1 curve)	0	2- 3- 61-	2- 3- -1  2  6  0  3  0
Curve Equation t 11712bl1 [0,1,0,-58401,5460831] 1
11712bm (2 curves)	0	2- 3- 61-	2- 3-  2  2  0  6  0  0
Curve Equation t 11712bm1 [0,1,0,-117,-405] 2 11712bm2 [0,1,0,-657,5967] 2
11712bn (2 curves)	0	2- 3- 61-	2- 3- -2 -2 -4 -2  4  8
Curve Equation t 11712bn1 [0,1,0,-24,-30] 2 11712bn2 [0,1,0,-329,-2409] 2

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