Cremona's table of elliptic curves

25662 = 2 · 3 · 7 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
25662a (1 curve)	0	2+ 3+ 7+ 13- 47+	2+ 3+  1 7+  3 13- -7  5
Curve Equation t 25662a1 [1,1,0,-22067,1374573] 1
25662b (1 curve)	0	2+ 3+ 7+ 13- 47+	2+ 3+  2 7+  4 13-  3  0
Curve Equation t 25662b1 [1,1,0,-36074,3729492] 1
25662c (2 curves)	0	2+ 3+ 7+ 13- 47+	2+ 3+ -2 7+  0 13-  2  2
Curve Equation t 25662c1 [1,1,0,-10668506,13408566036] 2 25662c2 [1,1,0,-170698586,858335382420] 2
25662d (1 curve)	0	2+ 3+ 7+ 13- 47+	2+ 3+ -3 7+  3 13- -3  1
Curve Equation t 25662d1 [1,1,0,-12902374,-17849589074] 1
25662e (1 curve)	1	2+ 3+ 7+ 13- 47-	2+ 3+ -1 7+ -5 13-  3  7
Curve Equation t Generators 25662e1 [1,1,0,-10633,459949] 1 [-43:938:1]
25662f (2 curves)	2	2+ 3+ 7- 13+ 47+	2+ 3+  0 7- -4 13+ -2 -4
Curve Equation t Generators 25662f1 [1,1,0,110,-524] 2 [12:-58:1]&[7:22:1] 25662f2 [1,1,0,-730,-6068] 2 [-21:34:1]&[63:419:1]
25662g (2 curves)	1	2+ 3+ 7- 13+ 47-	2+ 3+ -2 7- -6 13+ -2 -4
Curve Equation t Generators 25662g1 [1,1,0,-416,0] 2 [-13:65:1] 25662g2 [1,1,0,1664,2080] 2 [19:193:1]
25662h (1 curve)	1	2+ 3+ 7- 13+ 47-	2+ 3+ -3 7-  5 13+ -3  3
Curve Equation t Generators 25662h1 [1,1,0,676,-464016] 1 [2001:-977:27]
25662i (2 curves)	1	2+ 3+ 7- 13- 47+	2+ 3+  0 7-  0 13-  6  4
Curve Equation t Generators 25662i1 [1,1,0,-10040,-413076] 2 [130:642:1] 25662i2 [1,1,0,-163130,-25427982] 2 [2317:108578:1]
25662j (1 curve)	1	2+ 3+ 7- 13- 47+	2+ 3+ -3 7-  3 13-  3 -5
Curve Equation t Generators 25662j1 [1,1,0,-2404,47866] 1 [9:160:1]
25662k (1 curve)	0	2+ 3- 7+ 13+ 47+	2+ 3-  1 7+ -1 13+ -7 -7
Curve Equation t 25662k1 [1,0,1,10052132,-134368666540] 1
25662l (2 curves)	0	2+ 3- 7+ 13+ 47+	2+ 3-  4 7+ -4 13+  2  2
Curve Equation t 25662l1 [1,0,1,-9439,373154] 2 25662l2 [1,0,1,-153499,23134634] 2
25662m (1 curve)	1	2+ 3- 7+ 13+ 47-	2+ 3- -3 7+ -3 13+  7  1
Curve Equation t Generators 25662m1 [1,0,1,725,2000] 1 [4:68:1]
25662n (1 curve)	1	2+ 3- 7+ 13- 47+	2+ 3-  1 7+  3 13- -3 -3
Curve Equation t Generators 25662n1 [1,0,1,116787,2624584] 1 [-22:222:1]
25662o (2 curves)	1	2+ 3- 7+ 13- 47+	2+ 3- -2 7+  0 13- -6  6
Curve Equation t Generators 25662o1 [1,0,1,123,124] 2 [2:18:1] 25662o2 [1,0,1,-507,880] 2 [-10:75:1]
25662p (4 curves)	0	2+ 3- 7- 13- 47+	2+ 3-  0 7-  0 13- -6  2
Curve Equation t 25662p1 [1,0,1,3440294,-1335159748] 6 25662p2 [1,0,1,-15849046,-11411910964] 6 25662p3 [1,0,1,-67400281,-216891571780] 2 25662p4 [1,0,1,-1083887641,-13734953674948] 2
25662q (1 curve)	0	2+ 3- 7- 13- 47+	2+ 3-  3 7-  5 13-  7  1
Curve Equation t 25662q1 [1,0,1,-288592,-84869602] 1
25662r (1 curve)	0	2- 3+ 7+ 13- 47-	2- 3+  3 7+ -3 13-  3  5
Curve Equation t 25662r1 [1,1,1,-4459,-117031] 1
25662s (4 curves)	1	2- 3+ 7- 13+ 47+	2- 3+  2 7-  0 13+  2  0
Curve Equation t Generators 25662s1 [1,1,1,-1712,-127231] 4 [411:8089:1] 25662s2 [1,1,1,-49732,-4276159] 4 [232962:7359971:216] 25662s3 [1,1,1,-72762,53481] 2 [115263563550:3617021212493:106496424] 25662s4 [1,1,1,-795022,-273176791] 2 [34019130:711140791:27000]
25662t (1 curve)	1	2- 3- 7+ 13+ 47+	2- 3-  1 7+  5 13+ -7 -1
Curve Equation t Generators 25662t1 [1,0,0,350,1124] 1 [40:262:1]
25662u (4 curves)	0	2- 3- 7+ 13+ 47-	2- 3-  2 7+ -4 13+  2  4
Curve Equation t 25662u1 [1,0,0,-287,585] 2 25662u2 [1,0,0,-3667,85085] 4 25662u3 [1,0,0,-2757,128583] 2 25662u4 [1,0,0,-58657,5463107] 2
25662v (1 curve)	1	2- 3- 7+ 13- 47-	2- 3-  1 7+  3 13- -5 -5
Curve Equation t Generators 25662v1 [1,0,0,57085,990273] 1 [154:-3743:1]
25662w (1 curve)	1	2- 3- 7+ 13- 47-	2- 3-  1 7+ -3 13-  1 -5
Curve Equation t Generators 25662w1 [1,0,0,-205965,38121873] 1 [374:-3853:1]
25662x (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -1 7+ -3 13-  3  1
Curve Equation t Generators 25662x1 [1,0,0,-741,74529] 1 [312:-5655:1]
25662y (1 curve)	1	2- 3- 7+ 13- 47-	2- 3- -2 7+  0 13- -5  4
Curve Equation t Generators 25662y1 [1,0,0,91,-11007] 1 [106:-1145:1]
25662z (1 curve)	0	2- 3- 7- 13+ 47+	2- 3- -1 7-  3 13+  3 -5
Curve Equation t 25662z1 [1,0,0,-6741,-213591] 1
25662ba (2 curves)	0	2- 3- 7- 13+ 47+	2- 3- -4 7-  0 13+  6  4
Curve Equation t 25662ba1 [1,0,0,79413195,-20327624068959] 2 25662ba2 [1,0,0,-10710433845,-417944277339999] 2

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