Cremona's table of elliptic curves

7872 = 2⁶ · 3 · 41

Class	r	Atkin-Lehner	Eigenvalues
7872a (1 curve)	1	2+ 3+ 41+	2+ 3+  0 -2  3  6 -7  0
Curve Equation t Generators 7872a1 [0,-1,0,27,189] 1 [-4:1:1]
7872b (2 curves)	1	2+ 3+ 41+	2+ 3+  2  2 -4 -4 -2  0
Curve Equation t Generators 7872b1 [0,-1,0,-29049377,-60253676895] 2 [-159957211215137174904520:-263338747122066098715:51402207490623567577] 7872b2 [0,-1,0,-29008417,-60432106847] 2 [13517097554369852680193804661126672169149944:-118599654275286079579879771527420087031161555:2160201636453480799485190498400659481153]
7872c (1 curve)	1	2+ 3+ 41+	2+ 3+  2 -4  5 -4 -5  6
Curve Equation t Generators 7872c1 [0,-1,0,43,5517] 1 [28:167:1]
7872d (2 curves)	1	2+ 3+ 41+	2+ 3+ -2  2 -4  0  6  0
Curve Equation t Generators 7872d1 [0,-1,0,-489,4329] 2 [9:24:1] 7872d2 [0,-1,0,-449,5025] 2 [11:36:1]
7872e (2 curves)	1	2+ 3+ 41+	2+ 3+ -3  2  6  1  3 -5
Curve Equation t Generators 7872e1 [0,-1,0,-97,1249] 1 [9:32:1] 7872e2 [0,-1,0,863,-30431] 1 [57:448:1]
7872f (2 curves)	0	2+ 3+ 41-	2+ 3+ -1 -2 -2  1 -7 -5
Curve Equation t 7872f1 [0,-1,0,-11201,-14246463] 1 7872f2 [0,-1,0,-37090241,-86931233343] 1
7872g (4 curves)	0	2+ 3+ 41-	2+ 3+  2  4  4 -2  2  4
Curve Equation t 7872g1 [0,-1,0,-577,5185] 2 7872g2 [0,-1,0,-1857,-24255] 4 7872g3 [0,-1,0,-28097,-1803327] 2 7872g4 [0,-1,0,3903,-149823] 4
7872h (2 curves)	0	2+ 3+ 41-	2+ 3+  4 -2  3  6  3  0
Curve Equation t 7872h1 [0,-1,0,-41,123] 1 7872h2 [0,-1,0,79,-7197] 1
7872i (1 curve)	0	2+ 3- 41+	2+ 3- -1  2 -2  7  7 -7
Curve Equation t 7872i1 [0,1,0,-17281,-880417] 1
7872j (2 curves)	0	2+ 3- 41+	2+ 3-  2  2  4  4 -2  8
Curve Equation t 7872j1 [0,1,0,-4257,104895] 2 7872j2 [0,1,0,-1697,232383] 2
7872k (1 curve)	0	2+ 3- 41+	2+ 3-  2 -4 -5  4 -5  2
Curve Equation t 7872k1 [0,1,0,3,-3] 1
7872l (2 curves)	0	2+ 3- 41+	2+ 3- -2 -2  4  0  6  0
Curve Equation t 7872l1 [0,1,0,-489,-4329] 2 7872l2 [0,1,0,-449,-5025] 2
7872m (1 curve)	1	2+ 3- 41-	2+ 3-  0 -2  1  2 -1  4
Curve Equation t Generators 7872m1 [0,1,0,-53,147] 1 [6:9:1]
7872n (1 curve)	1	2+ 3- 41-	2+ 3-  1 -2 -2  3 -3 -7
Curve Equation t Generators 7872n1 [0,1,0,735,13887] 1 [51:-432:1]
7872o (1 curve)	1	2+ 3- 41-	2+ 3-  2  0 -1 -4 -7 -2
Curve Equation t Generators 7872o1 [0,1,0,-1477,32867] 1 [14:123:1]
7872p (1 curve)	1	2+ 3- 41-	2+ 3- -2  4 -5  0 -3  2
Curve Equation t Generators 7872p1 [0,1,0,-2309,-43485] 1 [78:507:1]
7872q (1 curve)	1	2+ 3- 41-	2+ 3- -3 -2 -2 -1  5  1
Curve Equation t Generators 7872q1 [0,1,0,-2657,-55041] 1 [915:27648:1]
7872r (1 curve)	0	2- 3+ 41+	2- 3+ -1 -2  2  7  7  7
Curve Equation t 7872r1 [0,-1,0,-17281,880417] 1
7872s (2 curves)	0	2- 3+ 41+	2- 3+  2 -2 -4  4 -2 -8
Curve Equation t 7872s1 [0,-1,0,-4257,-104895] 2 7872s2 [0,-1,0,-1697,-232383] 2
7872t (1 curve)	0	2- 3+ 41+	2- 3+  2  4  5  4 -5 -2
Curve Equation t 7872t1 [0,-1,0,3,3] 1
7872u (1 curve)	1	2- 3+ 41-	2- 3+  0  2 -1  2 -1 -4
Curve Equation t Generators 7872u1 [0,-1,0,-53,-147] 1 [76:655:1]
7872v (1 curve)	1	2- 3+ 41-	2- 3+  1  2  2  3 -3  7
Curve Equation t Generators 7872v1 [0,-1,0,735,-13887] 1 [29:176:1]
7872w (1 curve)	1	2- 3+ 41-	2- 3+ -1  2  2  5  5 -5
Curve Equation t Generators 7872w1 [0,-1,0,-1,97] 1 [-3:8:1]
7872x (1 curve)	1	2- 3+ 41-	2- 3+  2  0  1 -4 -7  2
Curve Equation t Generators 7872x1 [0,-1,0,-1477,-32867] 1 [396:7831:1]
7872y (4 curves)	1	2- 3+ 41-	2- 3+  2 -4 -4  2  2  4
Curve Equation t Generators 7872y1 [0,-1,0,-452,-6750] 2 [5828:53505:64] 7872y2 [0,-1,0,-8857,-317735] 4 [3309:190240:1] 7872y3 [0,-1,0,-141697,-20482847] 2 [-364756493973:-102134320:1680914269] 7872y4 [0,-1,0,-10497,-190143] 2 [113:232:1]
7872z (1 curve)	1	2- 3+ 41-	2- 3+ -2 -4  5  0 -3 -2
Curve Equation t Generators 7872z1 [0,-1,0,-2309,43485] 1 [28:1:1]
7872ba (1 curve)	1	2- 3+ 41-	2- 3+ -3  2  2 -1  5 -1
Curve Equation t Generators 7872ba1 [0,-1,0,-2657,55041] 1 [109:1024:1]
7872bb (1 curve)	1	2- 3- 41+	2- 3-  0  2 -3  6 -7  0
Curve Equation t Generators 7872bb1 [0,1,0,27,-189] 1 [6:15:1]
7872bc (2 curves)	1	2- 3- 41+	2- 3-  2 -2  4 -4 -2  0
Curve Equation t Generators 7872bc1 [0,1,0,-29049377,60253676895] 2 [3061:4860:1] 7872bc2 [0,1,0,-29008417,60432106847] 2 [5927:311040:1]
7872bd (1 curve)	1	2- 3- 41+	2- 3-  2  4 -5 -4 -5 -6
Curve Equation t Generators 7872bd1 [0,1,0,43,-5517] 1 [22:81:1]
7872be (2 curves)	1	2- 3- 41+	2- 3- -3 -2 -6  1  3  5
Curve Equation t Generators 7872be1 [0,1,0,-97,-1249] 1 [23:96:1] 7872be2 [0,1,0,863,30431] 1 [7:192:1]
7872bf (2 curves)	0	2- 3- 41-	2- 3- -1  2  2  1 -7  5
Curve Equation t 7872bf1 [0,1,0,-11201,14246463] 1 7872bf2 [0,1,0,-37090241,86931233343] 1
7872bg (1 curve)	0	2- 3- 41-	2- 3- -1 -2 -2  5  5  5
Curve Equation t 7872bg1 [0,1,0,-1,-97] 1
7872bh (4 curves)	0	2- 3- 41-	2- 3-  2  4  4  2  2 -4
Curve Equation t 7872bh1 [0,1,0,-452,6750] 2 7872bh2 [0,1,0,-8857,317735] 4 7872bh3 [0,1,0,-10497,190143] 2 7872bh4 [0,1,0,-141697,20482847] 2
7872bi (4 curves)	0	2- 3- 41-	2- 3-  2 -4 -4 -2  2 -4
Curve Equation t 7872bi1 [0,1,0,-577,-5185] 2 7872bi2 [0,1,0,-1857,24255] 4 7872bi3 [0,1,0,-28097,1803327] 4 7872bi4 [0,1,0,3903,149823] 2
7872bj (2 curves)	0	2- 3- 41-	2- 3-  4  2 -3  6  3  0
Curve Equation t 7872bj1 [0,1,0,-41,-123] 1 7872bj2 [0,1,0,79,7197] 1

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