Cremona's table of elliptic curves

89712 = 2⁴ · 3² · 7 · 89

Class	r	Atkin-Lehner	Eigenvalues
89712a (1 curve)	0	2+ 3+ 7- 89+	2+ 3+  2 7- -2 -4 -6  4
Curve Equation t 89712a1 [0,0,0,-40284,5424732] 1
89712b (1 curve)	1	2+ 3+ 7- 89-	2+ 3+ -2 7-  2 -4  6  4
Curve Equation t Generators 89712b1 [0,0,0,-4476,-200916] 1 [321:5607:1]
89712c (1 curve)	0	2+ 3- 7+ 89+	2+ 3-  1 7+  0  4 -5  7
Curve Equation t 89712c1 [0,0,0,-25707,1592138] 1
89712d (1 curve)	1	2+ 3- 7- 89+	2+ 3-  1 7-  2 -4  3  1
Curve Equation t Generators 89712d1 [0,0,0,1773,-242622] 1 [2203:103418:1]
89712e (1 curve)	1	2+ 3- 7- 89+	2+ 3- -3 7-  2  0  3 -3
Curve Equation t Generators 89712e1 [0,0,0,-2019,35026] 1 [27:14:1]
89712f (1 curve)	1	2+ 3- 7- 89+	2+ 3- -3 7-  4  0  3 -3
Curve Equation t Generators 89712f1 [0,0,0,261,-2214] 1 [19:98:1]
89712g (2 curves)	0	2- 3+ 7+ 89+	2- 3+ -2 7+  0  4  2  4
Curve Equation t 89712g1 [0,0,0,-96,275] 2 89712g2 [0,0,0,-1431,20834] 2
89712h (1 curve)	0	2- 3+ 7+ 89+	2- 3+ -4 7+  0 -4  3 -1
Curve Equation t 89712h1 [0,0,0,-5067,-896390] 1
89712i (2 curves)	1	2- 3+ 7+ 89-	2- 3+  2 7+  0  4 -2  4
Curve Equation t Generators 89712i1 [0,0,0,-864,-7425] 2 [-857850:2609415:54872] 89712i2 [0,0,0,-12879,-562518] 2 [-473443087902:5527102915:7278825672]
89712j (1 curve)	1	2- 3+ 7+ 89-	2- 3+  4 7+  0 -4 -3 -1
Curve Equation t Generators 89712j1 [0,0,0,-45603,24202530] 1 [1585:62720:1]
89712k (1 curve)	1	2- 3+ 7- 89+	2- 3+  0 7- -4  4 -1 -1
Curve Equation t Generators 89712k1 [0,0,0,-2355,-44046] 1 [73:416:1]
89712l (1 curve)	1	2- 3+ 7- 89+	2- 3+ -2 7-  6  4 -2 -4
Curve Equation t Generators 89712l1 [0,0,0,-96,362416] 1 [89:1029:1]
89712m (1 curve)	0	2- 3+ 7- 89-	2- 3+  0 7-  4  4  1 -1
Curve Equation t 89712m1 [0,0,0,-21195,1189242] 1
89712n (1 curve)	0	2- 3+ 7- 89-	2- 3+  2 7- -6  4  2 -4
Curve Equation t 89712n1 [0,0,0,-864,-9785232] 1
89712o (1 curve)	1	2- 3- 7+ 89+	2- 3-  1 7+ -6  4 -1 -5
Curve Equation t Generators 89712o1 [0,0,0,933,-502] 1 [23:182:1]
89712p (1 curve)	1	2- 3- 7+ 89+	2- 3- -1 7+  0  2  3  5
Curve Equation t Generators 89712p1 [0,0,0,-237963,44679994] 1 [282:14:1]
89712q (1 curve)	1	2- 3- 7+ 89+	2- 3- -1 7+ -4  2  3  5
Curve Equation t Generators 89712q1 [0,0,0,3957,251386] 1 [114:4459:8]
89712r (2 curves)	1	2- 3- 7+ 89+	2- 3-  2 7+  0 -4  6  2
Curve Equation t Generators 89712r1 [0,0,0,-13179,-582230] 2 [383:7110:1] 89712r2 [0,0,0,-14619,-447158] 2 [-91:360:1]
89712s (2 curves)	1	2- 3- 7+ 89+	2- 3- -3 7+  0 -4 -3 -5
Curve Equation t Generators 89712s1 [0,0,0,3201,852266] 1 [-82:196:1] 89712s2 [0,0,0,-28839,-23145694] 1 [192984130:1349198732:571787]
89712t (2 curves)	1	2- 3- 7+ 89+	2- 3-  4 7+  0  4  2 -2
Curve Equation t Generators 89712t1 [0,0,0,68037,39507050] 2 [3539425:209105370:29791] 89712t2 [0,0,0,-1406523,607212650] 2 [30905:2071296:125]
89712u (2 curves)	0	2- 3- 7+ 89-	2- 3-  0 7+  4  6  6 -4
Curve Equation t 89712u1 [0,0,0,1005,35282] 2 89712u2 [0,0,0,-11955,452594] 2
89712v (4 curves)	0	2- 3- 7+ 89-	2- 3-  2 7+ -4  2  2 -4
Curve Equation t 89712v1 [0,0,0,141,-74702] 2 89712v2 [0,0,0,-25779,-1562510] 4 89712v3 [0,0,0,-56019,2798098] 2 89712v4 [0,0,0,-410259,-101142830] 2
89712w (1 curve)	2	2- 3- 7+ 89-	2- 3-  2 7+ -6  4 -5 -5
Curve Equation t Generators 89712w1 [0,0,0,141,5042] 1 [-14:18:1]&[1:-72:1]
89712x (4 curves)	0	2- 3- 7+ 89-	2- 3- -2 7+  4  2 -6 -4
Curve Equation t 89712x1 [0,0,0,56589,9235186] 2 89712x2 [0,0,0,-468291,102558850] 4 89712x3 [0,0,0,-2198451,-1159419854] 2 89712x4 [0,0,0,-7136211,7337252050] 4
89712y (2 curves)	0	2- 3- 7- 89+	2- 3-  0 7- -4 -2  2  8
Curve Equation t 89712y1 [0,0,0,-4275,286578] 2 89712y2 [0,0,0,-96435,11511666] 2
89712z (1 curve)	0	2- 3- 7- 89+	2- 3-  1 7-  0  4  7 -7
Curve Equation t 89712z1 [0,0,0,-5907,180178] 1
89712ba (1 curve)	0	2- 3- 7- 89+	2- 3-  1 7-  6  4  7  5
Curve Equation t 89712ba1 [0,0,0,-3904347,-2974858742] 1
89712bb (1 curve)	0	2- 3- 7- 89+	2- 3-  2 7-  2  0 -7  1
Curve Equation t 89712bb1 [0,0,0,-13179,-865622] 1
89712bc (2 curves)	0	2- 3- 7- 89+	2- 3- -2 7-  0  4 -2  2
Curve Equation t 89712bc1 [0,0,0,-1539202251,-23242971426950] 2 89712bc2 [0,0,0,-1539208011,-23242788769286] 2
89712bd (1 curve)	0	2- 3- 7- 89+	2- 3-  3 7-  0 -6  3  7
Curve Equation t 89712bd1 [0,0,0,-171,21978] 1
89712be (1 curve)	0	2- 3- 7- 89+	2- 3- -3 7- -4  4  5 -1
Curve Equation t 89712be1 [0,0,0,-279,-9774] 1
89712bf (1 curve)	1	2- 3- 7- 89-	2- 3-  2 7-  2  0  0  6
Curve Equation t Generators 89712bf1 [0,0,0,816,-3152] 1 [41:315:1]
89712bg (1 curve)	1	2- 3- 7- 89-	2- 3-  2 7-  2  0 -5  1
Curve Equation t Generators 89712bg1 [0,0,0,-21138339,39246010018] 1 [4689:207904:1]
89712bh (1 curve)	1	2- 3- 7- 89-	2- 3-  2 7- -2  0  0 -6
Curve Equation t Generators 89712bh1 [0,0,0,-1704,34508] 1 [34:126:1]
89712bi (1 curve)	1	2- 3- 7- 89-	2- 3-  3 7- -6 -4  7  1
Curve Equation t Generators 89712bi1 [0,0,0,-831,9322] 1 [18:14:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations