Cremona's table of elliptic curves

27968 = 2⁶ · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
27968a (4 curves)	1	2+ 19+ 23+	2+  0  2  0  4  2 -6 19+
Curve Equation t Generators 27968a1 [0,0,0,-584,-5432] 2 [65846130:-441386504:1157625] 27968a2 [0,0,0,-604,-5040] 4 [12754:53040:343] 27968a3 [0,0,0,916,-26320] 2 [1609075455:-23902683553:7414875] 27968a4 [0,0,0,-2444,41328] 2 [134:1456:1]
27968b (2 curves)	1	2+ 19+ 23+	2+  2  3 -1 -3 -2  3 19+
Curve Equation t Generators 27968b1 [0,-1,0,-629,13421] 1 [1020:5543:27] 27968b2 [0,-1,0,5451,-289363] 1 [33959727516:32580196417:827936019]
27968c (1 curve)	2	2+ 19+ 23-	2+  1  1 -2 -5 -6 -4 19+
Curve Equation t Generators 27968c1 [0,1,0,-2465,46271] 1 [-55:136:1]&[35:-64:1]
27968d (1 curve)	0	2+ 19+ 23-	2+  1 -3  2 -3 -2 -2 19+
Curve Equation t 27968d1 [0,1,0,-178177,-28900001] 1
27968e (1 curve)	2	2+ 19+ 23-	2+ -1  0 -2 -2 -1  0 19+
Curve Equation t Generators 27968e1 [0,-1,0,-22113,1275241] 1 [88:55:1]&[112:437:1]
27968f (2 curves)	0	2+ 19+ 23-	2+ -1 -3  2  3 -2  0 19+
Curve Equation t 27968f1 [0,-1,0,-507457,-137908159] 1 27968f2 [0,-1,0,-41016897,-101095911359] 1
27968g (1 curve)	2	2+ 19+ 23-	2+ -1 -3 -2  1  2 -6 19+
Curve Equation t Generators 27968g1 [0,-1,0,-97,-31] 1 [-8:13:1]&[-7:16:1]
27968h (2 curves)	0	2+ 19+ 23-	2+  2 -2  0 -4 -2 -2 19+
Curve Equation t 27968h1 [0,-1,0,-24,-22] 2 27968h2 [0,-1,0,71,-231] 2
27968i (1 curve)	2	2+ 19+ 23-	2+ -2  1 -5  1  0 -7 19+
Curve Equation t Generators 27968i1 [0,1,0,75,877] 1 [-4:23:1]&[36:227:1]
27968j (1 curve)	0	2+ 19- 23+	2+  1  4 -2  6  3 -4 19-
Curve Equation t 27968j1 [0,1,0,-361,2527] 1
27968k (1 curve)	0	2+ 19- 23+	2+ -1 -2  0  0  7  2 19-
Curve Equation t 27968k1 [0,-1,0,191,-3127] 1
27968l (2 curves)	0	2+ 19- 23+	2+ -2 -2  0  4 -2 -2 19-
Curve Equation t 27968l1 [0,1,0,-24,22] 2 27968l2 [0,1,0,71,231] 2
27968m (1 curve)	1	2+ 19- 23-	2+  0 -1 -1  1  2  7 19-
Curve Equation t Generators 27968m1 [0,0,0,-128,-11744] 1 [210:437:8]
27968n (1 curve)	1	2+ 19- 23-	2+  0 -1 -1  1 -4 -5 19-
Curve Equation t Generators 27968n1 [0,0,0,-15968,776736] 1 [41:437:1]
27968o (1 curve)	1	2+ 19- 23-	2+  0 -1 -5 -3 -4  3 19-
Curve Equation t Generators 27968o1 [0,0,0,112,416] 1 [1:23:1]
27968p (1 curve)	1	2+ 19- 23-	2+  0  3 -5 -3  6 -5 19-
Curve Equation t Generators 27968p1 [0,0,0,-5936,176032] 1 [354:23:8]
27968q (2 curves)	1	2+ 19- 23-	2+  1 -1 -2  3  6 -2 19-
Curve Equation t Generators 27968q1 [0,1,0,-26241,541151] 1 [10:529:1] 27968q2 [0,1,0,-9108481,-10583801249] 1 [-597786:71:343]
27968r (1 curve)	1	2+ 19- 23-	2+ -1  3 -2  5 -2 -4 19-
Curve Equation t Generators 27968r1 [0,-1,0,-769,-7423] 1 [-16:23:1]
27968s (1 curve)	1	2+ 19- 23-	2+  2 -3  1 -1  4 -7 19-
Curve Equation t Generators 27968s1 [0,-1,0,-1557,28109] 1 [44:207:1]
27968t (1 curve)	1	2+ 19- 23-	2+ -2 -1 -3 -5  2  3 19-
Curve Equation t Generators 27968t1 [0,1,0,-1,-39] 1 [8:23:1]
27968u (1 curve)	1	2+ 19- 23-	2+  3  0 -2  6  3 -8 19-
Curve Equation t Generators 27968u1 [0,0,0,20,-136] 1 [111:107:27]
27968v (1 curve)	1	2+ 19- 23-	2+  3 -1  2 -5  2 -2 19-
Curve Equation t Generators 27968v1 [0,0,0,-844108,293070704] 1 [767646:17432576:729]
27968w (1 curve)	1	2+ 19- 23-	2+ -3 -1  2  1  2  4 19-
Curve Equation t Generators 27968w1 [0,0,0,-1228,-9104] 1 [78:-608:1]
27968x (1 curve)	1	2+ 19- 23-	2+ -3  2 -4  4 -1 -2 19-
Curve Equation t Generators 27968x1 [0,0,0,-12244,-523928] 1 [421:8303:1]
27968y (1 curve)	0	2- 19+ 23+	2-  0 -1  1 -1  2  7 19+
Curve Equation t 27968y1 [0,0,0,-128,11744] 1
27968z (1 curve)	0	2- 19+ 23+	2-  0 -1  1 -1 -4 -5 19+
Curve Equation t 27968z1 [0,0,0,-15968,-776736] 1
27968ba (1 curve)	0	2- 19+ 23+	2-  0 -1  5  3 -4  3 19+
Curve Equation t 27968ba1 [0,0,0,112,-416] 1
27968bb (1 curve)	0	2- 19+ 23+	2-  0  3  5  3  6 -5 19+
Curve Equation t 27968bb1 [0,0,0,-5936,-176032] 1
27968bc (1 curve)	0	2- 19+ 23+	2-  1  3  2 -5 -2 -4 19+
Curve Equation t 27968bc1 [0,1,0,-769,7423] 1
27968bd (1 curve)	0	2- 19+ 23+	2-  1  3 -2  3  6  4 19+
Curve Equation t 27968bd1 [0,1,0,-1729,27103] 1
27968be (2 curves)	0	2- 19+ 23+	2- -1 -1  2 -3  6 -2 19+
Curve Equation t 27968be1 [0,-1,0,-26241,-541151] 1 27968be2 [0,-1,0,-9108481,10583801249] 1
27968bf (1 curve)	0	2- 19+ 23+	2-  2 -1  3  5  2  3 19+
Curve Equation t 27968bf1 [0,-1,0,-1,39] 1
27968bg (1 curve)	0	2- 19+ 23+	2- -2 -3 -1  1  4 -7 19+
Curve Equation t 27968bg1 [0,1,0,-1557,-28109] 1
27968bh (1 curve)	0	2- 19+ 23+	2-  3 -1 -2 -1  2  4 19+
Curve Equation t 27968bh1 [0,0,0,-1228,9104] 1
27968bi (1 curve)	0	2- 19+ 23+	2-  3  2  4 -4 -1 -2 19+
Curve Equation t 27968bi1 [0,0,0,-12244,523928] 1
27968bj (1 curve)	2	2- 19+ 23+	2- -3  0  2 -6  3 -8 19+
Curve Equation t Generators 27968bj1 [0,0,0,20,136] 1 [-3:7:1]&[5:19:1]
27968bk (1 curve)	0	2- 19+ 23+	2- -3 -1 -2  5  2 -2 19+
Curve Equation t 27968bk1 [0,0,0,-844108,-293070704] 1
27968bl (1 curve)	0	2- 19+ 23+	2- -3  3 -2 -1 -2  0 19+
Curve Equation t 27968bl1 [0,0,0,-268396,16387312] 1
27968bm (1 curve)	1	2- 19+ 23-	2-  1 -2  0  0  7  2 19+
Curve Equation t Generators 27968bm1 [0,1,0,191,3127] 1 [-6:437:8]
27968bn (1 curve)	1	2- 19+ 23-	2- -1  4  2 -6  3 -4 19+
Curve Equation t Generators 27968bn1 [0,-1,0,-361,-2527] 1 [3268:21185:64]
27968bo (1 curve)	1	2- 19+ 23-	2-  2 -1  1 -1 -6  3 19+
Curve Equation t Generators 27968bo1 [0,-1,0,-911011,348358497] 1 [-438830286:3235392819:405224]
27968bp (1 curve)	1	2- 19+ 23-	2-  2  3 -3  3 -2 -1 19+
Curve Equation t Generators 27968bp1 [0,-1,0,-19,57] 1 [42:69:8]
27968bq (1 curve)	1	2- 19+ 23-	2- -3 -3 -2  5 -2  6 19+
Curve Equation t Generators 27968bq1 [0,0,0,-1324,18064] 1 [-14:184:1]
27968br (1 curve)	1	2- 19- 23+	2-  1  0  2  2 -1  0 19-
Curve Equation t Generators 27968br1 [0,1,0,-22113,-1275241] 1 [13818260530:197678743753:47045881]
27968bs (1 curve)	1	2- 19- 23+	2-  1 -3  2 -1  2 -6 19-
Curve Equation t Generators 27968bs1 [0,1,0,-97,31] 1 [-9:16:1]
27968bt (2 curves)	1	2- 19- 23+	2-  1 -3 -2 -3 -2  0 19-
Curve Equation t Generators 27968bt1 [0,1,0,-507457,137908159] 1 [261:4828:1] 27968bt2 [0,1,0,-41016897,101095911359] 1 [3685:1292:1]
27968bu (1 curve)	1	2- 19- 23+	2- -1  1  2  5 -6 -4 19-
Curve Equation t Generators 27968bu1 [0,-1,0,-2465,-46271] 1 [-753:64:27]
27968bv (1 curve)	1	2- 19- 23+	2- -1 -3 -2  3 -2 -2 19-
Curve Equation t Generators 27968bv1 [0,-1,0,-178177,28900001] 1 [187:-1444:1]
27968bw (1 curve)	1	2- 19- 23+	2-  2  1  5 -1  0 -7 19-
Curve Equation t Generators 27968bw1 [0,-1,0,75,-877] 1 [278:4629:1]
27968bx (1 curve)	1	2- 19- 23+	2- -2 -1 -1  1 -6  3 19-
Curve Equation t Generators 27968bx1 [0,1,0,-911011,-348358497] 1 [2174:89167:1]
27968by (1 curve)	1	2- 19- 23+	2- -2  3  3 -3 -2 -1 19-
Curve Equation t Generators 27968by1 [0,1,0,-19,-57] 1 [6:9:1]
27968bz (1 curve)	1	2- 19- 23+	2-  3 -3  2 -5 -2  6 19-
Curve Equation t Generators 27968bz1 [0,0,0,-1324,-18064] 1 [-537:541:27]
27968ca (4 curves)	0	2- 19- 23-	2-  0  2  0 -4  2 -6 19-
Curve Equation t 27968ca1 [0,0,0,-584,5432] 2 27968ca2 [0,0,0,-604,5040] 4 27968ca3 [0,0,0,916,26320] 2 27968ca4 [0,0,0,-2444,-41328] 2
27968cb (1 curve)	0	2- 19- 23-	2- -1  3  2 -3  6  4 19-
Curve Equation t 27968cb1 [0,-1,0,-1729,-27103] 1
27968cc (2 curves)	0	2- 19- 23-	2- -2  3  1  3 -2  3 19-
Curve Equation t 27968cc1 [0,1,0,-629,-13421] 1 27968cc2 [0,1,0,5451,289363] 1
27968cd (1 curve)	0	2- 19- 23-	2-  3  3  2  1 -2  0 19-
Curve Equation t 27968cd1 [0,0,0,-268396,-16387312] 1

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